diff options
Diffstat (limited to 'source4/heimdal/lib/hcrypto')
183 files changed, 31330 insertions, 123 deletions
diff --git a/source4/heimdal/lib/hcrypto/aes.c b/source4/heimdal/lib/hcrypto/aes.c index b3049c165a..77847e460e 100644 --- a/source4/heimdal/lib/hcrypto/aes.c +++ b/source4/heimdal/lib/hcrypto/aes.c @@ -119,3 +119,26 @@ AES_cbc_encrypt(const unsigned char *in, unsigned char *out, } } } + +void +AES_cfb8_encrypt(const unsigned char *in, unsigned char *out, + unsigned long size, const AES_KEY *key, + unsigned char *iv, int forward_encrypt) +{ + int i; + + for (i = 0; i < size; i++) { + unsigned char tmp[AES_BLOCK_SIZE + 1]; + + memcpy(tmp, iv, AES_BLOCK_SIZE); + AES_encrypt(iv, iv, key); + if (!forward_encrypt) { + tmp[AES_BLOCK_SIZE] = in[i]; + } + out[i] = in[i] ^ iv[0]; + if (forward_encrypt) { + tmp[AES_BLOCK_SIZE] = out[i]; + } + memcpy(iv, &tmp[1], AES_BLOCK_SIZE); + } +} diff --git a/source4/heimdal/lib/hcrypto/aes.h b/source4/heimdal/lib/hcrypto/aes.h index 273f1dd569..4ba4516519 100644 --- a/source4/heimdal/lib/hcrypto/aes.h +++ b/source4/heimdal/lib/hcrypto/aes.h @@ -42,6 +42,7 @@ #define AES_encrypt hc_AES_encrypt #define AES_decrypt hc_AES_decrypt #define AES_cbc_encrypt hc_AES_cbc_encrypt +#define AES_cfb8_encrypt hc_AES_cfb8_encrypt /* * @@ -71,6 +72,9 @@ void AES_decrypt(const unsigned char *, unsigned char *, const AES_KEY *); void AES_cbc_encrypt(const unsigned char *, unsigned char *, unsigned long, const AES_KEY *, unsigned char *, int); +void AES_cfb8_encrypt(const unsigned char *, unsigned char *, + unsigned long, const AES_KEY *, + unsigned char *, int); #ifdef __cplusplus } diff --git a/source4/heimdal/lib/hcrypto/camellia.h b/source4/heimdal/lib/hcrypto/camellia.h index feabae1aa3..6661f3bf07 100644 --- a/source4/heimdal/lib/hcrypto/camellia.h +++ b/source4/heimdal/lib/hcrypto/camellia.h @@ -66,7 +66,7 @@ void CAMELLIA_decrypt(const unsigned char *, unsigned char *, const CAMELLIA_KEY *); void CAMELLIA_cbc_encrypt(const unsigned char *, unsigned char *, - const unsigned long, const CAMELLIA_KEY *, + unsigned long, const CAMELLIA_KEY *, unsigned char *, int); #endif /* HEIM_CAMELLIA_H */ diff --git a/source4/heimdal/lib/hcrypto/common.c b/source4/heimdal/lib/hcrypto/common.c new file mode 100644 index 0000000000..136bf1db10 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/common.c @@ -0,0 +1,69 @@ +/* + * Copyright (c) 2010 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Portions Copyright (c) 2010 Apple Inc. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#include <config.h> + +#include <errno.h> + +#include <stdio.h> +#include <stdlib.h> + +#include <krb5-types.h> +#include <rfc2459_asn1.h> +#include <hcrypto/bn.h> + + +#include "common.h" + +int +_hc_BN_to_integer(BIGNUM *bn, heim_integer *integer) +{ + integer->length = BN_num_bytes(bn); + integer->data = malloc(integer->length); + if (integer->data == NULL) + return ENOMEM; + BN_bn2bin(bn, integer->data); + integer->negative = BN_is_negative(bn); + return 0; +} + +BIGNUM * +_hc_integer_to_BN(const heim_integer *i, BIGNUM *bn) +{ + bn = BN_bin2bn(i->data, i->length, bn); + if (bn) + BN_set_negative(bn, i->negative); + return bn; +} diff --git a/source4/heimdal/lib/hcrypto/common.h b/source4/heimdal/lib/hcrypto/common.h new file mode 100644 index 0000000000..f78f544401 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/common.h @@ -0,0 +1,45 @@ +/* + * Copyright (c) 2010 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Portions Copyright (c) 2010 Apple Inc. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#ifndef HCRYPTO_COMMON_H +#define HCRYPTO_COMMON_H 1 + +int +_hc_BN_to_integer(BIGNUM *, heim_integer *); + +BIGNUM * +_hc_integer_to_BN(const heim_integer *i, BIGNUM *bn); + +#endif /* HCRYPTO_COMMON_H */ diff --git a/source4/heimdal/lib/hcrypto/dh-imath.c b/source4/heimdal/lib/hcrypto/dh-imath.c index 822d5a328b..c2e86fa2fa 100644 --- a/source4/heimdal/lib/hcrypto/dh-imath.c +++ b/source4/heimdal/lib/hcrypto/dh-imath.c @@ -31,14 +31,14 @@ * SUCH DAMAGE. */ -#ifdef HAVE_CONFIG_H #include <config.h> -#endif #include <stdio.h> #include <stdlib.h> #include <dh.h> +#ifdef USE_HCRYPTO_IMATH + #include <roken.h> #include "imath/imath.h" @@ -233,6 +233,7 @@ const DH_METHOD _hc_dh_imath_method = { NULL, dh_generate_params }; +#endif /* USE_HCRYPTO_DH_IMATH */ /** * DH implementation using libimath. @@ -245,5 +246,9 @@ const DH_METHOD _hc_dh_imath_method = { const DH_METHOD * DH_imath_method(void) { +#ifdef USE_HCRYPTO_DH_IMATH return &_hc_dh_imath_method; +#else + return NULL; +#endif } diff --git a/source4/heimdal/lib/hcrypto/dh-ltm.c b/source4/heimdal/lib/hcrypto/dh-ltm.c new file mode 100644 index 0000000000..6166100b08 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/dh-ltm.c @@ -0,0 +1,249 @@ +/* + * Copyright (c) 2006 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#ifdef HAVE_CONFIG_H +#include <config.h> +#endif + +#include <stdio.h> +#include <stdlib.h> +#include <dh.h> + +#include <roken.h> + +#include "tommath.h" + +static void +BN2mpz(mp_int *s, const BIGNUM *bn) +{ + size_t len; + void *p; + + len = BN_num_bytes(bn); + p = malloc(len); + BN_bn2bin(bn, p); + mp_read_unsigned_bin(s, p, len); + free(p); +} + + +static BIGNUM * +mpz2BN(mp_int *s) +{ + size_t size; + BIGNUM *bn; + void *p; + + size = mp_unsigned_bin_size(s); + p = malloc(size); + if (p == NULL && size != 0) + return NULL; + mp_to_unsigned_bin(s, p); + + bn = BN_bin2bn(p, size, NULL); + free(p); + return bn; +} + +/* + * + */ + +#define DH_NUM_TRIES 10 + +static int +ltm_dh_generate_key(DH *dh) +{ + mp_int pub, priv_key, g, p; + int have_private_key = (dh->priv_key != NULL); + int codes, times = 0; + int res; + + if (dh->p == NULL || dh->g == NULL) + return 0; + + while (times++ < DH_NUM_TRIES) { + if (!have_private_key) { + size_t bits = BN_num_bits(dh->p); + + if (dh->priv_key) + BN_free(dh->priv_key); + + dh->priv_key = BN_new(); + if (dh->priv_key == NULL) + return 0; + if (!BN_rand(dh->priv_key, bits - 1, 0, 0)) { + BN_clear_free(dh->priv_key); + dh->priv_key = NULL; + return 0; + } + } + if (dh->pub_key) + BN_free(dh->pub_key); + + mp_init_multi(&pub, &priv_key, &g, &p, NULL); + + BN2mpz(&priv_key, dh->priv_key); + BN2mpz(&g, dh->g); + BN2mpz(&p, dh->p); + + res = mp_exptmod(&g, &priv_key, &p, &pub); + + mp_zero(&priv_key); + mp_zero(&g); + mp_zero(&p); + if (res != 0) + continue; + + dh->pub_key = mpz2BN(&pub); + mp_zero(&pub); + if (dh->pub_key == NULL) + return 0; + + if (DH_check_pubkey(dh, dh->pub_key, &codes) && codes == 0) + break; + if (have_private_key) + return 0; + } + + if (times >= DH_NUM_TRIES) { + if (!have_private_key && dh->priv_key) { + BN_free(dh->priv_key); + dh->priv_key = NULL; + } + if (dh->pub_key) { + BN_free(dh->pub_key); + dh->pub_key = NULL; + } + return 0; + } + + return 1; +} + +static int +ltm_dh_compute_key(unsigned char *shared, const BIGNUM * pub, DH *dh) +{ + mp_int s, priv_key, p, peer_pub; + size_t size = 0; + int ret; + + if (dh->pub_key == NULL || dh->g == NULL || dh->priv_key == NULL) + return -1; + + mp_init(&p); + BN2mpz(&p, dh->p); + + mp_init(&peer_pub); + BN2mpz(&peer_pub, pub); + + /* check if peers pubkey is reasonable */ + if (mp_isneg(&peer_pub) + || mp_cmp(&peer_pub, &p) >= 0 + || mp_cmp_d(&peer_pub, 1) <= 0) + { + mp_zero(&p); + mp_zero(&peer_pub); + return -1; + } + + mp_init(&priv_key); + BN2mpz(&priv_key, dh->priv_key); + + mp_init(&s); + + ret = mp_exptmod(&peer_pub, &priv_key, &p, &s); + + mp_zero(&p); + mp_zero(&peer_pub); + mp_zero(&priv_key); + + if (ret != 0) + return -1; + + size = mp_unsigned_bin_size(&s); + mp_to_unsigned_bin(&s, shared); + mp_zero(&s); + + return size; +} + +static int +ltm_dh_generate_params(DH *dh, int a, int b, BN_GENCB *callback) +{ + /* groups should already be known, we don't care about this */ + return 0; +} + +static int +ltm_dh_init(DH *dh) +{ + return 1; +} + +static int +ltm_dh_finish(DH *dh) +{ + return 1; +} + + +/* + * + */ + +const DH_METHOD _hc_dh_ltm_method = { + "hcrypto ltm DH", + ltm_dh_generate_key, + ltm_dh_compute_key, + NULL, + ltm_dh_init, + ltm_dh_finish, + 0, + NULL, + ltm_dh_generate_params +}; + +/** + * DH implementation using libimath. + * + * @return the DH_METHOD for the DH implementation using libimath. + * + * @ingroup hcrypto_dh + */ + +const DH_METHOD * +DH_ltm_method(void) +{ + return &_hc_dh_ltm_method; +} diff --git a/source4/heimdal/lib/hcrypto/dh.c b/source4/heimdal/lib/hcrypto/dh.c index d42ac34fd2..3ad37f87a7 100644 --- a/source4/heimdal/lib/hcrypto/dh.c +++ b/source4/heimdal/lib/hcrypto/dh.c @@ -37,6 +37,9 @@ #include <stdio.h> #include <stdlib.h> +#include <krb5-types.h> +#include <rfc2459_asn1.h> + #include <dh.h> #include <roken.h> @@ -487,3 +490,63 @@ DH_get_default_method(void) return dh_default_method; } +/* + * + */ + +static int +bn2heim_int(BIGNUM *bn, heim_integer *integer) +{ + integer->length = BN_num_bytes(bn); + integer->data = malloc(integer->length); + if (integer->data == NULL) { + integer->length = 0; + return ENOMEM; + } + BN_bn2bin(bn, integer->data); + integer->negative = BN_is_negative(bn); + return 0; +} + +/** + * + */ + +int +i2d_DHparams(DH *dh, unsigned char **pp) +{ + DHParameter data; + size_t size; + int ret; + + memset(&data, 0, sizeof(data)); + + if (bn2heim_int(dh->p, &data.prime) || + bn2heim_int(dh->g, &data.base)) + { + free_DHParameter(&data); + return -1; + } + + if (pp == NULL) { + size = length_DHParameter(&data); + free_DHParameter(&data); + } else { + void *p; + size_t len; + + ASN1_MALLOC_ENCODE(DHParameter, p, len, &data, &size, ret); + free_DHParameter(&data); + if (ret) + return -1; + if (len != size) + abort(); + + memcpy(*pp, p, size); + free(p); + + *pp += size; + } + + return size; +} diff --git a/source4/heimdal/lib/hcrypto/dh.h b/source4/heimdal/lib/hcrypto/dh.h index 2522bfe39f..3a24f9dfdf 100644 --- a/source4/heimdal/lib/hcrypto/dh.h +++ b/source4/heimdal/lib/hcrypto/dh.h @@ -41,6 +41,8 @@ /* symbol renaming */ #define DH_null_method hc_DH_null_method #define DH_imath_method hc_DH_imath_method +#define DH_tfm_method hc_DH_tfm_method +#define DH_ltm_method hc_DH_ltm_method #define DH_new hc_DH_new #define DH_new_method hc_DH_new_method #define DH_free hc_DH_free @@ -56,6 +58,7 @@ #define DH_check_pubkey hc_DH_check_pubkey #define DH_generate_key hc_DH_generate_key #define DH_compute_key hc_DH_compute_key +#define i2d_DHparams hc_i2d_DHparams /* * @@ -114,6 +117,8 @@ struct DH { */ const DH_METHOD *DH_null_method(void); +const DH_METHOD *DH_tfm_method(void); +const DH_METHOD *DH_ltm_method(void); const DH_METHOD *DH_imath_method(void); DH * DH_new(void); @@ -137,5 +142,7 @@ int DH_check_pubkey(const DH *, const BIGNUM *, int *); int DH_generate_key(DH *); int DH_compute_key(unsigned char *,const BIGNUM *,DH *); +int i2d_DHparams(DH *, unsigned char **); + #endif /* _HEIM_DH_H */ diff --git a/source4/heimdal/lib/hcrypto/engine.c b/source4/heimdal/lib/hcrypto/engine.c index 8066d59cf8..6e3e5e3939 100644 --- a/source4/heimdal/lib/hcrypto/engine.c +++ b/source4/heimdal/lib/hcrypto/engine.c @@ -56,6 +56,23 @@ struct hc_engine { const RAND_METHOD *rand; }; +ENGINE * +ENGINE_new(void) +{ + ENGINE *engine; + + engine = calloc(1, sizeof(*engine)); + engine->references = 1; + + return engine; +} + +int +ENGINE_free(ENGINE *engine) +{ + return ENGINE_finish(engine); +} + int ENGINE_finish(ENGINE *engine) { @@ -195,10 +212,8 @@ add_engine(ENGINE *engine) ENGINE **d, *dup; dup = ENGINE_by_id(engine->id); - if (dup) { - ENGINE_finish(dup); + if (dup) return 0; - } d = realloc(engines, (num_engines + 1) * sizeof(*engines)); if (d == NULL) @@ -215,19 +230,98 @@ ENGINE_load_builtin_engines(void) ENGINE *engine; int ret; - engine = calloc(1, sizeof(*engine)); + engine = ENGINE_new(); if (engine == NULL) return; ENGINE_set_id(engine, "builtin"); ENGINE_set_name(engine, - "Heimdal crypto builtin engine version " PACKAGE_VERSION); + "Heimdal crypto builtin (ltm) engine version " PACKAGE_VERSION); + ENGINE_set_RSA(engine, RSA_ltm_method()); + ENGINE_set_DH(engine, DH_ltm_method()); + + ret = add_engine(engine); + if (ret != 1) + ENGINE_finish(engine); + +#ifdef USE_HCRYPTO_TFM + /* + * TFM + */ + + engine = ENGINE_new(); + if (engine == NULL) + return; + + ENGINE_set_id(engine, "tfm"); + ENGINE_set_name(engine, + "Heimdal crypto tfm engine version " PACKAGE_VERSION); + ENGINE_set_RSA(engine, RSA_tfm_method()); + ENGINE_set_DH(engine, DH_tfm_method()); + + ret = add_engine(engine); + if (ret != 1) + ENGINE_finish(engine); +#endif /* USE_HCRYPTO_TFM */ + +#ifdef USE_HCRYPTO_LTM + /* + * ltm + */ + + engine = ENGINE_new(); + if (engine == NULL) + return; + + ENGINE_set_id(engine, "ltm"); + ENGINE_set_name(engine, + "Heimdal crypto ltm engine version " PACKAGE_VERSION); + ENGINE_set_RSA(engine, RSA_ltm_method()); + ENGINE_set_DH(engine, DH_ltm_method()); + + ret = add_engine(engine); + if (ret != 1) + ENGINE_finish(engine); +#endif + +#ifdef USE_HCRYPTO_IMATH + /* + * imath + */ + + engine = ENGINE_new(); + if (engine == NULL) + return; + + ENGINE_set_id(engine, "imath"); + ENGINE_set_name(engine, + "Heimdal crypto imath engine version " PACKAGE_VERSION); ENGINE_set_RSA(engine, RSA_imath_method()); ENGINE_set_DH(engine, DH_imath_method()); ret = add_engine(engine); if (ret != 1) ENGINE_finish(engine); +#endif + +#ifdef HAVE_GMP + /* + * gmp + */ + + engine = ENGINE_new(); + if (engine == NULL) + return; + + ENGINE_set_id(engine, "gmp"); + ENGINE_set_name(engine, + "Heimdal crypto gmp engine version " PACKAGE_VERSION); + ENGINE_set_RSA(engine, RSA_gmp_method()); + + ret = add_engine(engine); + if (ret != 1) + ENGINE_finish(engine); +#endif } ENGINE * diff --git a/source4/heimdal/lib/hcrypto/engine.h b/source4/heimdal/lib/hcrypto/engine.h index d3a1479ce2..7fd8f3e1e5 100644 --- a/source4/heimdal/lib/hcrypto/engine.h +++ b/source4/heimdal/lib/hcrypto/engine.h @@ -54,6 +54,8 @@ #define ENGINE_set_id hc_ENGINE_set_id #define ENGINE_set_name hc_ENGINE_set_name #define ENGINE_set_destroy_function hc_ENGINE_set_destroy_function +#define ENGINE_new hc_ENGINE_new +#define ENGINE_free hc_ENGINE_free #define ENGINE_up_ref hc_ENGINE_up_ref #define ENGINE_get_default_DH hc_ENGINE_get_default_DH #define ENGINE_get_default_RSA hc_ENGINE_get_default_RSA @@ -66,6 +68,16 @@ typedef struct hc_engine ENGINE; +#define NID_md2 0 +#define NID_md4 1 +#define NID_md5 2 +#define NID_sha1 4 +#define NID_sha256 5 + +/* + * + */ + #include <hcrypto/rsa.h> #include <hcrypto/dsa.h> #include <hcrypto/dh.h> @@ -76,6 +88,9 @@ typedef struct hc_engine ENGINE; typedef int (*openssl_bind_engine)(ENGINE *, const char *, const void *); typedef unsigned long (*openssl_v_check)(unsigned long); +ENGINE * + ENGINE_new(void); +int ENGINE_free(ENGINE *); void ENGINE_add_conf_module(void); void ENGINE_load_builtin_engines(void); ENGINE *ENGINE_by_id(const char *); diff --git a/source4/heimdal/lib/hcrypto/evp-cc.c b/source4/heimdal/lib/hcrypto/evp-cc.c new file mode 100644 index 0000000000..bd084a25e2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/evp-cc.c @@ -0,0 +1,856 @@ +/* + * Copyright (c) 2008 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Portions Copyright (c) 2009 Apple Inc. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +/* CommonCrypto provider */ + +#ifdef __APPLE__ + +#include "config.h" + +#include <sys/types.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <assert.h> + +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H +#include <CommonCrypto/CommonDigest.h> +#endif +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H +#include <CommonCrypto/CommonCryptor.h> +#endif + +#include <evp.h> +#include <evp-cc.h> + +/* + * + */ + +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + +struct cc_key { + CCCryptorRef href; +}; + +static int +cc_do_cipher(EVP_CIPHER_CTX *ctx, + unsigned char *out, + const unsigned char *in, + unsigned int size) +{ + struct cc_key *cc = ctx->cipher_data; + CCCryptorStatus ret; + size_t moved; + + memcpy(out, in, size); + + ret = CCCryptorUpdate(cc->href, in, size, out, size, &moved); + if (ret) + return 0; + + if (moved != size) + return 0; + + return 1; +} + +static int +cc_do_cfb8_cipher(EVP_CIPHER_CTX *ctx, + unsigned char *out, + const unsigned char *in, + unsigned int size) +{ + struct cc_key *cc = ctx->cipher_data; + CCCryptorStatus ret; + size_t moved; + unsigned int i; + + for (i = 0; i < size; i++) { + unsigned char oiv[EVP_MAX_IV_LENGTH + 1]; + + assert(ctx->cipher->iv_len + 1 <= sizeof(oiv)); + memcpy(oiv, ctx->iv, ctx->cipher->iv_len); + + ret = CCCryptorUpdate(cc->href, ctx->iv, ctx->cipher->iv_len, + ctx->iv, ctx->cipher->iv_len, &moved); + if (ret) + return 0; + + if (moved != ctx->cipher->iv_len) + return 0; + + if (!ctx->encrypt) + oiv[ctx->cipher->iv_len] = in[i]; + out[i] = in[i] ^ ctx->iv[0]; + if (ctx->encrypt) + oiv[ctx->cipher->iv_len] = out[i]; + + memcpy(ctx->iv, &oiv[1], ctx->cipher->iv_len); + } + + return 1; +} + +static int +cc_cleanup(EVP_CIPHER_CTX *ctx) +{ + struct cc_key *cc = ctx->cipher_data; + if (cc->href) + CCCryptorRelease(cc->href); + return 1; +} + +static int +init_cc_key(int encp, CCAlgorithm alg, CCOptions opts, const void *key, + size_t keylen, const void *iv, CCCryptorRef *ref) +{ + CCOperation op = encp ? kCCEncrypt : kCCDecrypt; + CCCryptorStatus ret; + + if (*ref) { + if (key == NULL && iv) { + CCCryptorReset(*ref, iv); + return 1; + } + CCCryptorRelease(*ref); + } + + ret = CCCryptorCreate(op, alg, opts, key, keylen, iv, ref); + if (ret) + return 0; + return 1; +} + +static int +cc_des_ede3_cbc_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + return init_cc_key(encp, kCCAlgorithm3DES, 0, key, kCCKeySize3DES, iv, &cc->href); +} + +#endif /* HAVE_COMMONCRYPTO_COMMONCRYPTOR_H */ + +/** + * The tripple DES cipher type (Apple CommonCrypto provider) + * + * @return the DES-EDE3-CBC EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_des_ede3_cbc(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER des_ede3_cbc = { + 0, + 8, + 24, + 8, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_des_ede3_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &des_ede3_cbc; +#else + return NULL; +#endif +} + +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H +/* + * + */ + +static int +cc_des_cbc_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + return init_cc_key(encp, kCCAlgorithmDES, 0, key, kCCBlockSizeDES, iv, &cc->href); +} +#endif + +/** + * The DES cipher type (Apple CommonCrypto provider) + * + * @return the DES-CBC EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_des_cbc(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER des_ede3_cbc = { + 0, + kCCBlockSizeDES, + kCCBlockSizeDES, + kCCBlockSizeDES, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_des_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &des_ede3_cbc; +#else + return NULL; +#endif +} + +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H +/* + * + */ + +static int +cc_aes_cbc_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + return init_cc_key(encp, kCCAlgorithmAES128, 0, key, ctx->cipher->key_len, iv, &cc->href); +} +#endif + +/** + * The AES-128 cipher type (Apple CommonCrypto provider) + * + * @return the AES-128-CBC EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_128_cbc(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + kCCBlockSizeAES128, + kCCKeySizeAES128, + kCCBlockSizeAES128, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +/** + * The AES-192 cipher type (Apple CommonCrypto provider) + * + * @return the AES-192-CBC EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_192_cbc(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + kCCBlockSizeAES128, + kCCKeySizeAES192, + kCCBlockSizeAES128, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +/** + * The AES-256 cipher type (Apple CommonCrypto provider) + * + * @return the AES-256-CBC EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_256_cbc(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + kCCBlockSizeAES128, + kCCKeySizeAES256, + kCCBlockSizeAES128, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H +/* + * + */ + +static int +cc_aes_cfb8_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + memcpy(ctx->iv, iv, ctx->cipher->iv_len); + return init_cc_key(1, kCCAlgorithmAES128, kCCOptionECBMode, + key, ctx->cipher->key_len, NULL, &cc->href); +} +#endif + +/** + * The AES-128 CFB8 cipher type (Apple CommonCrypto provider) + * + * @return the AES-128-CFB8 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_128_cfb8(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + 1, + kCCKeySizeAES128, + kCCBlockSizeAES128, + EVP_CIPH_CFB8_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cfb8_init, + cc_do_cfb8_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +/** + * The AES-192 CFB8 cipher type (Apple CommonCrypto provider) + * + * @return the AES-192-CFB8 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_192_cfb8(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + 1, + kCCKeySizeAES192, + kCCBlockSizeAES128, + EVP_CIPH_CFB8_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cfb8_init, + cc_do_cfb8_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +/** + * The AES-256 CFB8 cipher type (Apple CommonCrypto provider) + * + * @return the AES-256-CFB8 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_aes_256_cfb8(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER c = { + 0, + kCCBlockSizeAES128, + kCCKeySizeAES256, + kCCBlockSizeAES128, + EVP_CIPH_CFB8_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_aes_cfb8_init, + cc_do_cfb8_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &c; +#else + return NULL; +#endif +} + +/* + * + */ + +#ifdef COMMONCRYPTO_SUPPORTS_RC2 +static int +cc_rc2_cbc_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + return init_cc_key(encp, kCCAlgorithmRC2, 0, key, ctx->cipher->key_len, iv, &cc->href); +} +#endif + +/** + * The RC2 cipher type - common crypto + * + * @return the RC2 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + + +const EVP_CIPHER * +EVP_cc_rc2_cbc(void) +{ +#ifdef COMMONCRYPTO_SUPPORTS_RC2 + static const EVP_CIPHER rc2_cbc = { + 0, + kCCBlockSizeRC2, + 16, + kCCBlockSizeRC2, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_rc2_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &rc2_cbc; +#else + return NULL; +#endif +} + +/** + * The RC2-40 cipher type - common crypto + * + * @return the RC2-40 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + + +const EVP_CIPHER * +EVP_cc_rc2_40_cbc(void) +{ +#ifdef COMMONCRYPTO_SUPPORTS_RC2 + static const EVP_CIPHER rc2_40_cbc = { + 0, + kCCBlockSizeRC2, + 5, + kCCBlockSizeRC2, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_rc2_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &rc2_40_cbc; +#else + return NULL; +#endif +} + + +/** + * The RC2-64 cipher type - common crypto + * + * @return the RC2-64 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + + +const EVP_CIPHER * +EVP_cc_rc2_64_cbc(void) +{ +#ifdef COMMONCRYPTO_SUPPORTS_RC2 + static const EVP_CIPHER rc2_64_cbc = { + 0, + kCCBlockSizeRC2, + 8, + kCCBlockSizeRC2, + EVP_CIPH_CBC_MODE|EVP_CIPH_ALWAYS_CALL_INIT, + cc_rc2_cbc_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &rc2_64_cbc; +#else + return NULL; +#endif +} + +/** + * The CommonCrypto md2 provider + * + * @ingroup hcrypto_evp + */ + +const EVP_MD * +EVP_cc_md2(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H + static const struct hc_evp_md md2 = { + CC_MD2_DIGEST_LENGTH, + CC_MD2_BLOCK_BYTES, + sizeof(CC_MD2_CTX), + (hc_evp_md_init)CC_MD2_Init, + (hc_evp_md_update)CC_MD2_Update, + (hc_evp_md_final)CC_MD2_Final, + (hc_evp_md_cleanup)NULL + }; + return &md2; +#else + return NULL; +#endif +} + +/** + * The CommonCrypto md4 provider + * + * @ingroup hcrypto_evp + */ + +const EVP_MD * +EVP_cc_md4(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H + static const struct hc_evp_md md4 = { + CC_MD4_DIGEST_LENGTH, + CC_MD4_BLOCK_BYTES, + sizeof(CC_MD4_CTX), + (hc_evp_md_init)CC_MD4_Init, + (hc_evp_md_update)CC_MD4_Update, + (hc_evp_md_final)CC_MD4_Final, + (hc_evp_md_cleanup)NULL + }; + return &md4; +#else + return NULL; +#endif +} + +/** + * The CommonCrypto md5 provider + * + * @ingroup hcrypto_evp + */ + +const EVP_MD * +EVP_cc_md5(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H + static const struct hc_evp_md md5 = { + CC_MD5_DIGEST_LENGTH, + CC_MD5_BLOCK_BYTES, + sizeof(CC_MD5_CTX), + (hc_evp_md_init)CC_MD5_Init, + (hc_evp_md_update)CC_MD5_Update, + (hc_evp_md_final)CC_MD5_Final, + (hc_evp_md_cleanup)NULL + }; + return &md5; +#else + return NULL; +#endif +} + +/** + * The CommonCrypto sha1 provider + * + * @ingroup hcrypto_evp + */ + +const EVP_MD * +EVP_cc_sha1(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H + static const struct hc_evp_md sha1 = { + CC_SHA1_DIGEST_LENGTH, + CC_SHA1_BLOCK_BYTES, + sizeof(CC_SHA1_CTX), + (hc_evp_md_init)CC_SHA1_Init, + (hc_evp_md_update)CC_SHA1_Update, + (hc_evp_md_final)CC_SHA1_Final, + (hc_evp_md_cleanup)NULL + }; + return &sha1; +#else + return NULL; +#endif +} + +/** + * The CommonCrypto sha256 provider + * + * @ingroup hcrypto_evp + */ + +const EVP_MD * +EVP_cc_sha256(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONDIGEST_H + static const struct hc_evp_md sha256 = { + CC_SHA256_DIGEST_LENGTH, + CC_SHA256_BLOCK_BYTES, + sizeof(CC_SHA256_CTX), + (hc_evp_md_init)CC_SHA256_Init, + (hc_evp_md_update)CC_SHA256_Update, + (hc_evp_md_final)CC_SHA256_Final, + (hc_evp_md_cleanup)NULL + }; + return &sha256; +#else + return NULL; +#endif +} + +/** + * The Camellia-128 cipher type - CommonCrypto + * + * @return the Camellia-128 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_camellia_128_cbc(void) +{ + return NULL; +} + +/** + * The Camellia-198 cipher type - CommonCrypto + * + * @return the Camellia-198 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_camellia_192_cbc(void) +{ + return NULL; +} + +/** + * The Camellia-256 cipher type - CommonCrypto + * + * @return the Camellia-256 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_camellia_256_cbc(void) +{ + return NULL; +} + +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + +/* + * + */ + +static int +cc_rc4_init(EVP_CIPHER_CTX *ctx, + const unsigned char * key, + const unsigned char * iv, + int encp) +{ + struct cc_key *cc = ctx->cipher_data; + return init_cc_key(encp, kCCAlgorithmRC4, 0, key, ctx->key_len, iv, &cc->href); +} + +#endif + +/** + + * The RC4 cipher type (Apple CommonCrypto provider) + * + * @return the RC4 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_rc4(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER rc4 = { + 0, + 1, + 16, + 0, + EVP_CIPH_STREAM_CIPHER|EVP_CIPH_VARIABLE_LENGTH, + cc_rc4_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &rc4; +#else + return NULL; +#endif +} + + +/** + * The RC4-40 cipher type (Apple CommonCrypto provider) + * + * @return the RC4 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_cc_rc4_40(void) +{ +#ifdef HAVE_COMMONCRYPTO_COMMONCRYPTOR_H + static const EVP_CIPHER rc4_40 = { + 0, + 1, + 5, + 0, + EVP_CIPH_STREAM_CIPHER|EVP_CIPH_VARIABLE_LENGTH, + cc_rc4_init, + cc_do_cipher, + cc_cleanup, + sizeof(struct cc_key), + NULL, + NULL, + NULL, + NULL + }; + return &rc4_40; +#else + return NULL; +#endif +} + +#endif /* __APPLE__ */ + diff --git a/source4/heimdal/lib/hcrypto/evp-cc.h b/source4/heimdal/lib/hcrypto/evp-cc.h index 0febd21e98..9249bb226e 100644 --- a/source4/heimdal/lib/hcrypto/evp-cc.h +++ b/source4/heimdal/lib/hcrypto/evp-cc.h @@ -47,6 +47,9 @@ #define EVP_cc_aes_128_cbc hc_EVP_cc_aes_128_cbc #define EVP_cc_aes_192_cbc hc_EVP_cc_aes_192_cbc #define EVP_cc_aes_256_cbc hc_EVP_cc_aes_256_cbc +#define EVP_cc_aes_128_cfb8 hc_EVP_cc_aes_128_cfb8 +#define EVP_cc_aes_192_cfb8 hc_EVP_cc_aes_192_cfb8 +#define EVP_cc_aes_256_cfb8 hc_EVP_cc_aes_256_cfb8 #define EVP_cc_rc4 hc_EVP_cc_rc4 #define EVP_cc_rc4_40 hc_EVP_cc_rc4_40 #define EVP_cc_rc2_40_cbc hc_EVP_cc_rc2_40_cbc @@ -82,6 +85,10 @@ const EVP_CIPHER * EVP_cc_aes_128_cbc(void); const EVP_CIPHER * EVP_cc_aes_192_cbc(void); const EVP_CIPHER * EVP_cc_aes_256_cbc(void); +const EVP_CIPHER * EVP_cc_aes_128_cfb8(void); +const EVP_CIPHER * EVP_cc_aes_192_cfb8(void); +const EVP_CIPHER * EVP_cc_aes_256_cfb8(void); + const EVP_CIPHER * EVP_cc_camellia_128_cbc(void); const EVP_CIPHER * EVP_cc_camellia_192_cbc(void); const EVP_CIPHER * EVP_cc_camellia_256_cbc(void); diff --git a/source4/heimdal/lib/hcrypto/evp-hcrypto.c b/source4/heimdal/lib/hcrypto/evp-hcrypto.c index 699fc667b0..9e063545e1 100644 --- a/source4/heimdal/lib/hcrypto/evp-hcrypto.c +++ b/source4/heimdal/lib/hcrypto/evp-hcrypto.c @@ -83,7 +83,10 @@ aes_do_cipher(EVP_CIPHER_CTX *ctx, unsigned int size) { AES_KEY *k = ctx->cipher_data; - AES_cbc_encrypt(in, out, size, k, ctx->iv, ctx->encrypt); + if (ctx->flags & EVP_CIPH_CFB8_MODE) + AES_cfb8_encrypt(in, out, size, k, ctx->iv, ctx->encrypt); + else + AES_cbc_encrypt(in, out, size, k, ctx->iv, ctx->encrypt); return 1; } @@ -176,6 +179,94 @@ EVP_hcrypto_aes_256_cbc(void) } /** + * The AES-128 CFB8 cipher type (hcrypto) + * + * @return the AES-128 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_hcrypto_aes_128_cfb8(void) +{ + static const EVP_CIPHER aes_128_cfb8 = { + 0, + 1, + 16, + 16, + EVP_CIPH_CFB8_MODE, + aes_init, + aes_do_cipher, + NULL, + sizeof(AES_KEY), + NULL, + NULL, + NULL, + NULL + }; + + return &aes_128_cfb8; +} + +/** + * The AES-192 CFB8 cipher type (hcrypto) + * + * @return the AES-192 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_hcrypto_aes_192_cfb8(void) +{ + static const EVP_CIPHER aes_192_cfb8 = { + 0, + 1, + 24, + 16, + EVP_CIPH_CFB8_MODE, + aes_init, + aes_do_cipher, + NULL, + sizeof(AES_KEY), + NULL, + NULL, + NULL, + NULL + }; + return &aes_192_cfb8; +} + +/** + * The AES-256 CFB8 cipher type (hcrypto) + * + * @return the AES-256 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_hcrypto_aes_256_cfb8(void) +{ + static const EVP_CIPHER aes_256_cfb8 = { + 0, + 1, + 32, + 16, + EVP_CIPH_CFB8_MODE, + aes_init, + aes_do_cipher, + NULL, + sizeof(AES_KEY), + NULL, + NULL, + NULL, + NULL + }; + return &aes_256_cfb8; +} + +/** * The message digest SHA256 - hcrypto * * @return the message digest type. diff --git a/source4/heimdal/lib/hcrypto/evp-hcrypto.h b/source4/heimdal/lib/hcrypto/evp-hcrypto.h index c0fb89af71..7915046bdc 100644 --- a/source4/heimdal/lib/hcrypto/evp-hcrypto.h +++ b/source4/heimdal/lib/hcrypto/evp-hcrypto.h @@ -47,6 +47,9 @@ #define EVP_hcrypto_aes_128_cbc hc_EVP_hcrypto_aes_128_cbc #define EVP_hcrypto_aes_192_cbc hc_EVP_hcrypto_aes_192_cbc #define EVP_hcrypto_aes_256_cbc hc_EVP_hcrypto_aes_256_cbc +#define EVP_hcrypto_aes_128_cfb8 hc_EVP_hcrypto_aes_128_cfb8 +#define EVP_hcrypto_aes_192_cfb8 hc_EVP_hcrypto_aes_192_cfb8 +#define EVP_hcrypto_aes_256_cfb8 hc_EVP_hcrypto_aes_256_cfb8 #define EVP_hcrypto_rc4 hc_EVP_hcrypto_rc4 #define EVP_hcrypto_rc4_40 hc_EVP_hcrypto_rc4_40 #define EVP_hcrypto_rc2_40_cbc hc_EVP_hcrypto_rc2_40_cbc @@ -82,6 +85,10 @@ const EVP_CIPHER * EVP_hcrypto_aes_128_cbc(void); const EVP_CIPHER * EVP_hcrypto_aes_192_cbc(void); const EVP_CIPHER * EVP_hcrypto_aes_256_cbc(void); +const EVP_CIPHER * EVP_hcrypto_aes_128_cfb8(void); +const EVP_CIPHER * EVP_hcrypto_aes_192_cfb8(void); +const EVP_CIPHER * EVP_hcrypto_aes_256_cfb8(void); + const EVP_CIPHER * EVP_hcrypto_camellia_128_cbc(void); const EVP_CIPHER * EVP_hcrypto_camellia_192_cbc(void); const EVP_CIPHER * EVP_hcrypto_camellia_256_cbc(void); diff --git a/source4/heimdal/lib/hcrypto/evp.c b/source4/heimdal/lib/hcrypto/evp.c index 72787e185f..da1a8940be 100644 --- a/source4/heimdal/lib/hcrypto/evp.c +++ b/source4/heimdal/lib/hcrypto/evp.c @@ -356,6 +356,7 @@ EVP_Digest(const void *data, size_t dsize, void *hash, unsigned int *hsize, const EVP_MD * EVP_sha256(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, sha256); } @@ -370,6 +371,7 @@ EVP_sha256(void) const EVP_MD * EVP_sha1(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, sha1); } @@ -385,6 +387,7 @@ const EVP_MD * EVP_sha(void) HC_DEPRECATED { + hcrypto_validate(); return EVP_sha1(); } @@ -399,6 +402,7 @@ EVP_sha(void) HC_DEPRECATED const EVP_MD * EVP_md5(void) HC_DEPRECATED_CRYPTO { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, md5); } @@ -413,6 +417,7 @@ EVP_md5(void) HC_DEPRECATED_CRYPTO const EVP_MD * EVP_md4(void) HC_DEPRECATED_CRYPTO { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, md4); } @@ -427,6 +432,7 @@ EVP_md4(void) HC_DEPRECATED_CRYPTO const EVP_MD * EVP_md2(void) HC_DEPRECATED_CRYPTO { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, md2); } @@ -768,6 +774,10 @@ EVP_CipherInit_ex(EVP_CIPHER_CTX *ctx, const EVP_CIPHER *c, ENGINE *engine, case EVP_CIPH_STREAM_CIPHER: break; + case EVP_CIPH_CFB8_MODE: + if (iv) + memcpy(ctx->iv, iv, EVP_CIPHER_CTX_iv_length(ctx)); + break; default: return 0; @@ -996,6 +1006,7 @@ EVP_enc_null(void) const EVP_CIPHER * EVP_rc2_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, rc2_cbc); } @@ -1010,6 +1021,7 @@ EVP_rc2_cbc(void) const EVP_CIPHER * EVP_rc2_40_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, rc2_40_cbc); } @@ -1024,6 +1036,7 @@ EVP_rc2_40_cbc(void) const EVP_CIPHER * EVP_rc2_64_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, rc2_64_cbc); } @@ -1038,6 +1051,7 @@ EVP_rc2_64_cbc(void) const EVP_CIPHER * EVP_rc4(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, rc4); } @@ -1052,6 +1066,7 @@ EVP_rc4(void) const EVP_CIPHER * EVP_rc4_40(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, rc4_40); } @@ -1066,6 +1081,7 @@ EVP_rc4_40(void) const EVP_CIPHER * EVP_des_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, des_cbc); } @@ -1080,6 +1096,7 @@ EVP_des_cbc(void) const EVP_CIPHER * EVP_des_ede3_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, des_ede3_cbc); } @@ -1094,6 +1111,7 @@ EVP_des_ede3_cbc(void) const EVP_CIPHER * EVP_aes_128_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_128_cbc); } @@ -1108,6 +1126,7 @@ EVP_aes_128_cbc(void) const EVP_CIPHER * EVP_aes_192_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_192_cbc); } @@ -1122,10 +1141,56 @@ EVP_aes_192_cbc(void) const EVP_CIPHER * EVP_aes_256_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_256_cbc); } /** + * The AES-128 cipher type + * + * @return the AES-128 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_aes_128_cfb8(void) +{ + hcrypto_validate(); + return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_128_cfb8); +} + +/** + * The AES-192 cipher type + * + * @return the AES-192 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_aes_192_cfb8(void) +{ + hcrypto_validate(); + return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_192_cfb8); +} + +/** + * The AES-256 cipher type + * + * @return the AES-256 EVP_CIPHER pointer. + * + * @ingroup hcrypto_evp + */ + +const EVP_CIPHER * +EVP_aes_256_cfb8(void) +{ + hcrypto_validate(); + return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, aes_256_cfb8); +} + +/** * The Camellia-128 cipher type * * @return the Camellia-128 EVP_CIPHER pointer. @@ -1136,6 +1201,7 @@ EVP_aes_256_cbc(void) const EVP_CIPHER * EVP_camellia_128_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, camellia_128_cbc); } @@ -1150,6 +1216,7 @@ EVP_camellia_128_cbc(void) const EVP_CIPHER * EVP_camellia_192_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, camellia_192_cbc); } @@ -1164,6 +1231,7 @@ EVP_camellia_192_cbc(void) const EVP_CIPHER * EVP_camellia_256_cbc(void) { + hcrypto_validate(); return EVP_DEF_OP(HCRYPTO_DEF_PROVIDER, camellia_256_cbc); } @@ -1179,6 +1247,9 @@ static const struct cipher_name { { "aes-128-cbc", EVP_aes_128_cbc }, { "aes-192-cbc", EVP_aes_192_cbc }, { "aes-256-cbc", EVP_aes_256_cbc }, + { "aes-128-cfb8", EVP_aes_128_cfb8 }, + { "aes-192-cfb8", EVP_aes_192_cfb8 }, + { "aes-256-cfb8", EVP_aes_256_cfb8 }, { "camellia-128-cbc", EVP_camellia_128_cbc }, { "camellia-192-cbc", EVP_camellia_192_cbc }, { "camellia-256-cbc", EVP_camellia_256_cbc } @@ -1243,7 +1314,8 @@ EVP_BytesToKey(const EVP_CIPHER *type, void *keydata, void *ivdata) { - int ivlen, keylen, first = 0; + unsigned int ivlen, keylen; + int first = 0; unsigned int mds = 0, i; unsigned char *key = keydata; unsigned char *iv = ivdata; diff --git a/source4/heimdal/lib/hcrypto/evp.h b/source4/heimdal/lib/hcrypto/evp.h index ae92ab4899..03ec175d59 100644 --- a/source4/heimdal/lib/hcrypto/evp.h +++ b/source4/heimdal/lib/hcrypto/evp.h @@ -74,6 +74,9 @@ #define EVP_aes_128_cbc hc_EVP_aes_128_cbc #define EVP_aes_192_cbc hc_EVP_aes_192_cbc #define EVP_aes_256_cbc hc_EVP_aes_256_cbc +#define EVP_aes_128_cfb8 hc_EVP_aes_128_cfb8 +#define EVP_aes_192_cfb8 hc_EVP_aes_192_cfb8 +#define EVP_aes_256_cfb8 hc_EVP_aes_256_cfb8 #define EVP_des_cbc hc_EVP_des_cbc #define EVP_des_ede3_cbc hc_EVP_des_ede3_cbc @@ -101,6 +104,7 @@ #define OpenSSL_add_all_algorithms_noconf hc_OpenSSL_add_all_algorithms_noconf #define EVP_CIPHER_CTX_ctrl hc_EVP_CIPHER_CTX_ctrl #define EVP_CIPHER_CTX_rand_key hc_EVP_CIPHER_CTX_rand_key +#define hcrypto_validate hc_hcrypto_validate /* * @@ -129,6 +133,7 @@ struct hc_CIPHER { */ #define EVP_CIPH_STREAM_CIPHER 0 #define EVP_CIPH_CBC_MODE 2 +#define EVP_CIPH_CFB8_MODE 4 #define EVP_CIPH_MODE 0x7 #define EVP_CIPH_VARIABLE_LENGTH 0x008 /* variable key length */ @@ -224,6 +229,9 @@ const EVP_MD *EVP_sha256(void); const EVP_CIPHER * EVP_aes_128_cbc(void); const EVP_CIPHER * EVP_aes_192_cbc(void); const EVP_CIPHER * EVP_aes_256_cbc(void); +const EVP_CIPHER * EVP_aes_128_cfb8(void); +const EVP_CIPHER * EVP_aes_192_cfb8(void); +const EVP_CIPHER * EVP_aes_256_cfb8(void); HC_DEPRECATED_CRYPTO const EVP_CIPHER * EVP_des_cbc(void); const EVP_CIPHER * EVP_des_ede3_cbc(void); const EVP_CIPHER * EVP_enc_null(void); @@ -309,6 +317,9 @@ void OpenSSL_add_all_algorithms(void); void OpenSSL_add_all_algorithms_conf(void); void OpenSSL_add_all_algorithms_noconf(void); +void +hcrypto_validate(void); + HC_CPP_END #endif /* HEIM_EVP_H */ diff --git a/source4/heimdal/lib/hcrypto/hash.h b/source4/heimdal/lib/hcrypto/hash.h index 78a795f2a7..cfec9cf3f3 100644 --- a/source4/heimdal/lib/hcrypto/hash.h +++ b/source4/heimdal/lib/hcrypto/hash.h @@ -37,9 +37,6 @@ #ifndef __hash_h__ #define __hash_h__ -#include <stdlib.h> -#include <string.h> -#include <stddef.h> #ifdef KRB5 #include <krb5-types.h> #endif diff --git a/source4/heimdal/lib/hcrypto/imath/imath.c b/source4/heimdal/lib/hcrypto/imath/imath.c index 4e47a76ce2..0079bafd02 100644 --- a/source4/heimdal/lib/hcrypto/imath/imath.c +++ b/source4/heimdal/lib/hcrypto/imath/imath.c @@ -3016,7 +3016,7 @@ STATIC mp_result s_embar(mp_int a, mp_int b, mp_int m, mp_int mu, mp_int c) { mp_digit *db, *dbt, umu, d; mpz_t temp[3]; - mp_result res; + mp_result res = 0; int last = 0; umu = MP_USED(mu); db = MP_DIGITS(b); dbt = db + MP_USED(b) - 1; diff --git a/source4/heimdal/lib/hcrypto/libtommath/LICENSE b/source4/heimdal/lib/hcrypto/libtommath/LICENSE new file mode 100644 index 0000000000..5baa792a65 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/LICENSE @@ -0,0 +1,4 @@ +LibTomMath is hereby released into the Public Domain. + +-- Tom St Denis + diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn.ilg b/source4/heimdal/lib/hcrypto/libtommath/bn.ilg new file mode 100644 index 0000000000..3c859f0346 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn.ilg @@ -0,0 +1,6 @@ +This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). +Scanning input file bn.idx....done (79 entries accepted, 0 rejected). +Sorting entries....done (511 comparisons). +Generating output file bn.ind....done (82 lines written, 0 warnings). +Output written in bn.ind. +Transcript written in bn.ilg. diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn.ind b/source4/heimdal/lib/hcrypto/libtommath/bn.ind new file mode 100644 index 0000000000..c099b521d1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn.ind @@ -0,0 +1,82 @@ +\begin{theindex} + + \item mp\_add, \hyperpage{31} + \item mp\_add\_d, \hyperpage{56} + \item mp\_and, \hyperpage{31} + \item mp\_clear, \hyperpage{12} + \item mp\_clear\_multi, \hyperpage{13} + \item mp\_cmp, \hyperpage{25} + \item mp\_cmp\_d, \hyperpage{26} + \item mp\_cmp\_mag, \hyperpage{23} + \item mp\_div, \hyperpage{32} + \item mp\_div\_2, \hyperpage{28} + \item mp\_div\_2d, \hyperpage{30} + \item mp\_div\_d, \hyperpage{56} + \item mp\_dr\_reduce, \hyperpage{45} + \item mp\_dr\_setup, \hyperpage{45} + \item MP\_EQ, \hyperpage{23} + \item mp\_error\_to\_string, \hyperpage{9} + \item mp\_expt\_d, \hyperpage{47} + \item mp\_exptmod, \hyperpage{47} + \item mp\_exteuclid, \hyperpage{55} + \item mp\_gcd, \hyperpage{55} + \item mp\_get\_int, \hyperpage{20} + \item mp\_grow, \hyperpage{17} + \item MP\_GT, \hyperpage{23} + \item mp\_init, \hyperpage{11} + \item mp\_init\_copy, \hyperpage{14} + \item mp\_init\_multi, \hyperpage{13} + \item mp\_init\_set, \hyperpage{21} + \item mp\_init\_set\_int, \hyperpage{21} + \item mp\_init\_size, \hyperpage{15} + \item mp\_int, \hyperpage{10} + \item mp\_invmod, \hyperpage{56} + \item mp\_jacobi, \hyperpage{56} + \item mp\_lcm, \hyperpage{56} + \item mp\_lshd, \hyperpage{30} + \item MP\_LT, \hyperpage{23} + \item MP\_MEM, \hyperpage{9} + \item mp\_mod, \hyperpage{39} + \item mp\_mod\_d, \hyperpage{56} + \item mp\_montgomery\_calc\_normalization, \hyperpage{42} + \item mp\_montgomery\_reduce, \hyperpage{42} + \item mp\_montgomery\_setup, \hyperpage{42} + \item mp\_mul, \hyperpage{33} + \item mp\_mul\_2, \hyperpage{28} + \item mp\_mul\_2d, \hyperpage{29} + \item mp\_mul\_d, \hyperpage{56} + \item mp\_n\_root, \hyperpage{48} + \item mp\_neg, \hyperpage{31, 32} + \item MP\_NO, \hyperpage{9} + \item MP\_OKAY, \hyperpage{9} + \item mp\_or, \hyperpage{31} + \item mp\_prime\_fermat, \hyperpage{49} + \item mp\_prime\_is\_divisible, \hyperpage{49} + \item mp\_prime\_is\_prime, \hyperpage{51} + \item mp\_prime\_miller\_rabin, \hyperpage{50} + \item mp\_prime\_next\_prime, \hyperpage{51} + \item mp\_prime\_rabin\_miller\_trials, \hyperpage{50} + \item mp\_prime\_random, \hyperpage{51} + \item mp\_prime\_random\_ex, \hyperpage{52} + \item mp\_radix\_size, \hyperpage{53} + \item mp\_read\_radix, \hyperpage{53} + \item mp\_read\_unsigned\_bin, \hyperpage{54} + \item mp\_reduce, \hyperpage{40} + \item mp\_reduce\_2k, \hyperpage{46} + \item mp\_reduce\_2k\_setup, \hyperpage{46} + \item mp\_reduce\_setup, \hyperpage{40} + \item mp\_rshd, \hyperpage{30} + \item mp\_set, \hyperpage{19} + \item mp\_set\_int, \hyperpage{20} + \item mp\_shrink, \hyperpage{16} + \item mp\_sqr, \hyperpage{35} + \item mp\_sub, \hyperpage{31} + \item mp\_sub\_d, \hyperpage{56} + \item mp\_to\_unsigned\_bin, \hyperpage{54} + \item mp\_toradix, \hyperpage{53} + \item mp\_unsigned\_bin\_size, \hyperpage{54} + \item MP\_VAL, \hyperpage{9} + \item mp\_xor, \hyperpage{31} + \item MP\_YES, \hyperpage{9} + +\end{theindex} diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_error.c b/source4/heimdal/lib/hcrypto/libtommath/bn_error.c new file mode 100644 index 0000000000..b1b7177e61 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_error.c @@ -0,0 +1,47 @@ +#include <tommath.h> +#ifdef BN_ERROR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +static const struct { + int code; + char *msg; +} msgs[] = { + { MP_OKAY, "Successful" }, + { MP_MEM, "Out of heap" }, + { MP_VAL, "Value out of range" } +}; + +/* return a char * string for a given code */ +char *mp_error_to_string(int code) +{ + int x; + + /* scan the lookup table for the given message */ + for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { + if (msgs[x].code == code) { + return msgs[x].msg; + } + } + + /* generic reply for invalid code */ + return "Invalid error code"; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_invmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_invmod.c new file mode 100644 index 0000000000..ff03dfffe3 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_invmod.c @@ -0,0 +1,148 @@ +#include <tommath.h> +#ifdef BN_FAST_MP_INVMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes the modular inverse via binary extended euclidean algorithm, + * that is c = 1/a mod b + * + * Based on slow invmod except this is optimized for the case where b is + * odd as per HAC Note 14.64 on pp. 610 + */ +int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int x, y, u, v, B, D; + int res, neg; + + /* 2. [modified] b must be odd */ + if (mp_iseven (b) == 1) { + return MP_VAL; + } + + /* init all our temps */ + if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { + return res; + } + + /* x == modulus, y == value to invert */ + if ((res = mp_copy (b, &x)) != MP_OKAY) { + goto LBL_ERR; + } + + /* we need y = |a| */ + if ((res = mp_mod (a, b, &y)) != MP_OKAY) { + goto LBL_ERR; + } + + /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ + if ((res = mp_copy (&x, &u)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_copy (&y, &v)) != MP_OKAY) { + goto LBL_ERR; + } + mp_set (&D, 1); + +top: + /* 4. while u is even do */ + while (mp_iseven (&u) == 1) { + /* 4.1 u = u/2 */ + if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { + goto LBL_ERR; + } + /* 4.2 if B is odd then */ + if (mp_isodd (&B) == 1) { + if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } + /* B = B/2 */ + if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* 5. while v is even do */ + while (mp_iseven (&v) == 1) { + /* 5.1 v = v/2 */ + if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { + goto LBL_ERR; + } + /* 5.2 if D is odd then */ + if (mp_isodd (&D) == 1) { + /* D = (D-x)/2 */ + if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + /* D = D/2 */ + if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* 6. if u >= v then */ + if (mp_cmp (&u, &v) != MP_LT) { + /* u = u - v, B = B - D */ + if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } else { + /* v - v - u, D = D - B */ + if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* if not zero goto step 4 */ + if (mp_iszero (&u) == 0) { + goto top; + } + + /* now a = C, b = D, gcd == g*v */ + + /* if v != 1 then there is no inverse */ + if (mp_cmp_d (&v, 1) != MP_EQ) { + res = MP_VAL; + goto LBL_ERR; + } + + /* b is now the inverse */ + neg = a->sign; + while (D.sign == MP_NEG) { + if ((res = mp_add (&D, b, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + mp_exch (&D, c); + c->sign = neg; + res = MP_OKAY; + +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_montgomery_reduce.c b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_montgomery_reduce.c new file mode 100644 index 0000000000..b6c0694bd2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_mp_montgomery_reduce.c @@ -0,0 +1,172 @@ +#include <tommath.h> +#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes xR**-1 == x (mod N) via Montgomery Reduction + * + * This is an optimized implementation of montgomery_reduce + * which uses the comba method to quickly calculate the columns of the + * reduction. + * + * Based on Algorithm 14.32 on pp.601 of HAC. +*/ +int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +{ + int ix, res, olduse; + mp_word W[MP_WARRAY]; + + /* get old used count */ + olduse = x->used; + + /* grow a as required */ + if (x->alloc < n->used + 1) { + if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { + return res; + } + } + + /* first we have to get the digits of the input into + * an array of double precision words W[...] + */ + { + register mp_word *_W; + register mp_digit *tmpx; + + /* alias for the W[] array */ + _W = W; + + /* alias for the digits of x*/ + tmpx = x->dp; + + /* copy the digits of a into W[0..a->used-1] */ + for (ix = 0; ix < x->used; ix++) { + *_W++ = *tmpx++; + } + + /* zero the high words of W[a->used..m->used*2] */ + for (; ix < n->used * 2 + 1; ix++) { + *_W++ = 0; + } + } + + /* now we proceed to zero successive digits + * from the least significant upwards + */ + for (ix = 0; ix < n->used; ix++) { + /* mu = ai * m' mod b + * + * We avoid a double precision multiplication (which isn't required) + * by casting the value down to a mp_digit. Note this requires + * that W[ix-1] have the carry cleared (see after the inner loop) + */ + register mp_digit mu; + mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); + + /* a = a + mu * m * b**i + * + * This is computed in place and on the fly. The multiplication + * by b**i is handled by offseting which columns the results + * are added to. + * + * Note the comba method normally doesn't handle carries in the + * inner loop In this case we fix the carry from the previous + * column since the Montgomery reduction requires digits of the + * result (so far) [see above] to work. This is + * handled by fixing up one carry after the inner loop. The + * carry fixups are done in order so after these loops the + * first m->used words of W[] have the carries fixed + */ + { + register int iy; + register mp_digit *tmpn; + register mp_word *_W; + + /* alias for the digits of the modulus */ + tmpn = n->dp; + + /* Alias for the columns set by an offset of ix */ + _W = W + ix; + + /* inner loop */ + for (iy = 0; iy < n->used; iy++) { + *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); + } + } + + /* now fix carry for next digit, W[ix+1] */ + W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); + } + + /* now we have to propagate the carries and + * shift the words downward [all those least + * significant digits we zeroed]. + */ + { + register mp_digit *tmpx; + register mp_word *_W, *_W1; + + /* nox fix rest of carries */ + + /* alias for current word */ + _W1 = W + ix; + + /* alias for next word, where the carry goes */ + _W = W + ++ix; + + for (; ix <= n->used * 2 + 1; ix++) { + *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); + } + + /* copy out, A = A/b**n + * + * The result is A/b**n but instead of converting from an + * array of mp_word to mp_digit than calling mp_rshd + * we just copy them in the right order + */ + + /* alias for destination word */ + tmpx = x->dp; + + /* alias for shifted double precision result */ + _W = W + n->used; + + for (ix = 0; ix < n->used + 1; ix++) { + *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); + } + + /* zero oldused digits, if the input a was larger than + * m->used+1 we'll have to clear the digits + */ + for (; ix < olduse; ix++) { + *tmpx++ = 0; + } + } + + /* set the max used and clamp */ + x->used = n->used + 1; + mp_clamp (x); + + /* if A >= m then A = A - m */ + if (mp_cmp_mag (x, n) != MP_LT) { + return s_mp_sub (x, n, x); + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_digs.c b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_digs.c new file mode 100644 index 0000000000..91e10d670f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_digs.c @@ -0,0 +1,107 @@ +#include <tommath.h> +#ifdef BN_FAST_S_MP_MUL_DIGS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Fast (comba) multiplier + * + * This is the fast column-array [comba] multiplier. It is + * designed to compute the columns of the product first + * then handle the carries afterwards. This has the effect + * of making the nested loops that compute the columns very + * simple and schedulable on super-scalar processors. + * + * This has been modified to produce a variable number of + * digits of output so if say only a half-product is required + * you don't have to compute the upper half (a feature + * required for fast Barrett reduction). + * + * Based on Algorithm 14.12 on pp.595 of HAC. + * + */ +int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +{ + int olduse, res, pa, ix, iz; + mp_digit W[MP_WARRAY]; + register mp_word _W; + + /* grow the destination as required */ + if (c->alloc < digs) { + if ((res = mp_grow (c, digs)) != MP_OKAY) { + return res; + } + } + + /* number of output digits to produce */ + pa = MIN(digs, a->used + b->used); + + /* clear the carry */ + _W = 0; + for (ix = 0; ix < pa; ix++) { + int tx, ty; + int iy; + mp_digit *tmpx, *tmpy; + + /* get offsets into the two bignums */ + ty = MIN(b->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = b->dp + ty; + + /* this is the number of times the loop will iterrate, essentially + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MIN(a->used-tx, ty+1); + + /* execute loop */ + for (iz = 0; iz < iy; ++iz) { + _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + + } + + /* store term */ + W[ix] = ((mp_digit)_W) & MP_MASK; + + /* make next carry */ + _W = _W >> ((mp_word)DIGIT_BIT); + } + + /* setup dest */ + olduse = c->used; + c->used = pa; + + { + register mp_digit *tmpc; + tmpc = c->dp; + for (ix = 0; ix < pa+1; ix++) { + /* now extract the previous digit [below the carry] */ + *tmpc++ = W[ix]; + } + + /* clear unused digits [that existed in the old copy of c] */ + for (; ix < olduse; ix++) { + *tmpc++ = 0; + } + } + mp_clamp (c); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_high_digs.c b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_high_digs.c new file mode 100644 index 0000000000..5b114d717a --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -0,0 +1,98 @@ +#include <tommath.h> +#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* this is a modified version of fast_s_mul_digs that only produces + * output digits *above* digs. See the comments for fast_s_mul_digs + * to see how it works. + * + * This is used in the Barrett reduction since for one of the multiplications + * only the higher digits were needed. This essentially halves the work. + * + * Based on Algorithm 14.12 on pp.595 of HAC. + */ +int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +{ + int olduse, res, pa, ix, iz; + mp_digit W[MP_WARRAY]; + mp_word _W; + + /* grow the destination as required */ + pa = a->used + b->used; + if (c->alloc < pa) { + if ((res = mp_grow (c, pa)) != MP_OKAY) { + return res; + } + } + + /* number of output digits to produce */ + pa = a->used + b->used; + _W = 0; + for (ix = digs; ix < pa; ix++) { + int tx, ty, iy; + mp_digit *tmpx, *tmpy; + + /* get offsets into the two bignums */ + ty = MIN(b->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = b->dp + ty; + + /* this is the number of times the loop will iterrate, essentially its + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MIN(a->used-tx, ty+1); + + /* execute loop */ + for (iz = 0; iz < iy; iz++) { + _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + } + + /* store term */ + W[ix] = ((mp_digit)_W) & MP_MASK; + + /* make next carry */ + _W = _W >> ((mp_word)DIGIT_BIT); + } + + /* setup dest */ + olduse = c->used; + c->used = pa; + + { + register mp_digit *tmpc; + + tmpc = c->dp + digs; + for (ix = digs; ix < pa; ix++) { + /* now extract the previous digit [below the carry] */ + *tmpc++ = W[ix]; + } + + /* clear unused digits [that existed in the old copy of c] */ + for (; ix < olduse; ix++) { + *tmpc++ = 0; + } + } + mp_clamp (c); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_sqr.c b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_sqr.c new file mode 100644 index 0000000000..19e92ef180 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_fast_s_mp_sqr.c @@ -0,0 +1,114 @@ +#include <tommath.h> +#ifdef BN_FAST_S_MP_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* the jist of squaring... + * you do like mult except the offset of the tmpx [one that + * starts closer to zero] can't equal the offset of tmpy. + * So basically you set up iy like before then you min it with + * (ty-tx) so that it never happens. You double all those + * you add in the inner loop + +After that loop you do the squares and add them in. +*/ + +int fast_s_mp_sqr (mp_int * a, mp_int * b) +{ + int olduse, res, pa, ix, iz; + mp_digit W[MP_WARRAY], *tmpx; + mp_word W1; + + /* grow the destination as required */ + pa = a->used + a->used; + if (b->alloc < pa) { + if ((res = mp_grow (b, pa)) != MP_OKAY) { + return res; + } + } + + /* number of output digits to produce */ + W1 = 0; + for (ix = 0; ix < pa; ix++) { + int tx, ty, iy; + mp_word _W; + mp_digit *tmpy; + + /* clear counter */ + _W = 0; + + /* get offsets into the two bignums */ + ty = MIN(a->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = a->dp + ty; + + /* this is the number of times the loop will iterrate, essentially + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MIN(a->used-tx, ty+1); + + /* now for squaring tx can never equal ty + * we halve the distance since they approach at a rate of 2x + * and we have to round because odd cases need to be executed + */ + iy = MIN(iy, (ty-tx+1)>>1); + + /* execute loop */ + for (iz = 0; iz < iy; iz++) { + _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + } + + /* double the inner product and add carry */ + _W = _W + _W + W1; + + /* even columns have the square term in them */ + if ((ix&1) == 0) { + _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); + } + + /* store it */ + W[ix] = (mp_digit)(_W & MP_MASK); + + /* make next carry */ + W1 = _W >> ((mp_word)DIGIT_BIT); + } + + /* setup dest */ + olduse = b->used; + b->used = a->used+a->used; + + { + mp_digit *tmpb; + tmpb = b->dp; + for (ix = 0; ix < pa; ix++) { + *tmpb++ = W[ix] & MP_MASK; + } + + /* clear unused digits [that existed in the old copy of c] */ + for (; ix < olduse; ix++) { + *tmpb++ = 0; + } + } + mp_clamp (b); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_2expt.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_2expt.c new file mode 100644 index 0000000000..f422ffc994 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_2expt.c @@ -0,0 +1,48 @@ +#include <tommath.h> +#ifdef BN_MP_2EXPT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes a = 2**b + * + * Simple algorithm which zeroes the int, grows it then just sets one bit + * as required. + */ +int +mp_2expt (mp_int * a, int b) +{ + int res; + + /* zero a as per default */ + mp_zero (a); + + /* grow a to accomodate the single bit */ + if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { + return res; + } + + /* set the used count of where the bit will go */ + a->used = b / DIGIT_BIT + 1; + + /* put the single bit in its place */ + a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_abs.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_abs.c new file mode 100644 index 0000000000..09dd7229eb --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_abs.c @@ -0,0 +1,43 @@ +#include <tommath.h> +#ifdef BN_MP_ABS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* b = |a| + * + * Simple function copies the input and fixes the sign to positive + */ +int +mp_abs (mp_int * a, mp_int * b) +{ + int res; + + /* copy a to b */ + if (a != b) { + if ((res = mp_copy (a, b)) != MP_OKAY) { + return res; + } + } + + /* force the sign of b to positive */ + b->sign = MP_ZPOS; + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add.c new file mode 100644 index 0000000000..be20644770 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add.c @@ -0,0 +1,53 @@ +#include <tommath.h> +#ifdef BN_MP_ADD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* high level addition (handles signs) */ +int mp_add (mp_int * a, mp_int * b, mp_int * c) +{ + int sa, sb, res; + + /* get sign of both inputs */ + sa = a->sign; + sb = b->sign; + + /* handle two cases, not four */ + if (sa == sb) { + /* both positive or both negative */ + /* add their magnitudes, copy the sign */ + c->sign = sa; + res = s_mp_add (a, b, c); + } else { + /* one positive, the other negative */ + /* subtract the one with the greater magnitude from */ + /* the one of the lesser magnitude. The result gets */ + /* the sign of the one with the greater magnitude. */ + if (mp_cmp_mag (a, b) == MP_LT) { + c->sign = sb; + res = s_mp_sub (b, a, c); + } else { + c->sign = sa; + res = s_mp_sub (a, b, c); + } + } + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add_d.c new file mode 100644 index 0000000000..8ca36c1124 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_add_d.c @@ -0,0 +1,112 @@ +#include <tommath.h> +#ifdef BN_MP_ADD_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* single digit addition */ +int +mp_add_d (mp_int * a, mp_digit b, mp_int * c) +{ + int res, ix, oldused; + mp_digit *tmpa, *tmpc, mu; + + /* grow c as required */ + if (c->alloc < a->used + 1) { + if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { + return res; + } + } + + /* if a is negative and |a| >= b, call c = |a| - b */ + if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { + /* temporarily fix sign of a */ + a->sign = MP_ZPOS; + + /* c = |a| - b */ + res = mp_sub_d(a, b, c); + + /* fix sign */ + a->sign = c->sign = MP_NEG; + + /* clamp */ + mp_clamp(c); + + return res; + } + + /* old number of used digits in c */ + oldused = c->used; + + /* sign always positive */ + c->sign = MP_ZPOS; + + /* source alias */ + tmpa = a->dp; + + /* destination alias */ + tmpc = c->dp; + + /* if a is positive */ + if (a->sign == MP_ZPOS) { + /* add digit, after this we're propagating + * the carry. + */ + *tmpc = *tmpa++ + b; + mu = *tmpc >> DIGIT_BIT; + *tmpc++ &= MP_MASK; + + /* now handle rest of the digits */ + for (ix = 1; ix < a->used; ix++) { + *tmpc = *tmpa++ + mu; + mu = *tmpc >> DIGIT_BIT; + *tmpc++ &= MP_MASK; + } + /* set final carry */ + ix++; + *tmpc++ = mu; + + /* setup size */ + c->used = a->used + 1; + } else { + /* a was negative and |a| < b */ + c->used = 1; + + /* the result is a single digit */ + if (a->used == 1) { + *tmpc++ = b - a->dp[0]; + } else { + *tmpc++ = b; + } + + /* setup count so the clearing of oldused + * can fall through correctly + */ + ix = 1; + } + + /* now zero to oldused */ + while (ix++ < oldused) { + *tmpc++ = 0; + } + mp_clamp(c); + + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_addmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_addmod.c new file mode 100644 index 0000000000..6d8afe18c9 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_addmod.c @@ -0,0 +1,41 @@ +#include <tommath.h> +#ifdef BN_MP_ADDMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* d = a + b (mod c) */ +int +mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +{ + int res; + mp_int t; + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + if ((res = mp_add (a, b, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + res = mp_mod (&t, c, d); + mp_clear (&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_and.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_and.c new file mode 100644 index 0000000000..8ea22878f9 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_and.c @@ -0,0 +1,57 @@ +#include <tommath.h> +#ifdef BN_MP_AND_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* AND two ints together */ +int +mp_and (mp_int * a, mp_int * b, mp_int * c) +{ + int res, ix, px; + mp_int t, *x; + + if (a->used > b->used) { + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + px = b->used; + x = b; + } else { + if ((res = mp_init_copy (&t, b)) != MP_OKAY) { + return res; + } + px = a->used; + x = a; + } + + for (ix = 0; ix < px; ix++) { + t.dp[ix] &= x->dp[ix]; + } + + /* zero digits above the last from the smallest mp_int */ + for (; ix < t.used; ix++) { + t.dp[ix] = 0; + } + + mp_clamp (&t); + mp_exch (c, &t); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clamp.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clamp.c new file mode 100644 index 0000000000..359c2ff24d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clamp.c @@ -0,0 +1,44 @@ +#include <tommath.h> +#ifdef BN_MP_CLAMP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* trim unused digits + * + * This is used to ensure that leading zero digits are + * trimed and the leading "used" digit will be non-zero + * Typically very fast. Also fixes the sign if there + * are no more leading digits + */ +void +mp_clamp (mp_int * a) +{ + /* decrease used while the most significant digit is + * zero. + */ + while (a->used > 0 && a->dp[a->used - 1] == 0) { + --(a->used); + } + + /* reset the sign flag if used == 0 */ + if (a->used == 0) { + a->sign = MP_ZPOS; + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear.c new file mode 100644 index 0000000000..a65f0a36c4 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear.c @@ -0,0 +1,44 @@ +#include <tommath.h> +#ifdef BN_MP_CLEAR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* clear one (frees) */ +void +mp_clear (mp_int * a) +{ + int i; + + /* only do anything if a hasn't been freed previously */ + if (a->dp != NULL) { + /* first zero the digits */ + for (i = 0; i < a->used; i++) { + a->dp[i] = 0; + } + + /* free ram */ + XFREE(a->dp); + + /* reset members to make debugging easier */ + a->dp = NULL; + a->alloc = a->used = 0; + a->sign = MP_ZPOS; + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear_multi.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear_multi.c new file mode 100644 index 0000000000..daaea79a3b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_clear_multi.c @@ -0,0 +1,34 @@ +#include <tommath.h> +#ifdef BN_MP_CLEAR_MULTI_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ +#include <stdarg.h> + +void mp_clear_multi(mp_int *mp, ...) +{ + mp_int* next_mp = mp; + va_list args; + va_start(args, mp); + while (next_mp != NULL) { + mp_clear(next_mp); + next_mp = va_arg(args, mp_int*); + } + va_end(args); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp.c new file mode 100644 index 0000000000..533f36bf93 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp.c @@ -0,0 +1,43 @@ +#include <tommath.h> +#ifdef BN_MP_CMP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* compare two ints (signed)*/ +int +mp_cmp (mp_int * a, mp_int * b) +{ + /* compare based on sign */ + if (a->sign != b->sign) { + if (a->sign == MP_NEG) { + return MP_LT; + } else { + return MP_GT; + } + } + + /* compare digits */ + if (a->sign == MP_NEG) { + /* if negative compare opposite direction */ + return mp_cmp_mag(b, a); + } else { + return mp_cmp_mag(a, b); + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_d.c new file mode 100644 index 0000000000..724c1c3634 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_d.c @@ -0,0 +1,44 @@ +#include <tommath.h> +#ifdef BN_MP_CMP_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* compare a digit */ +int mp_cmp_d(mp_int * a, mp_digit b) +{ + /* compare based on sign */ + if (a->sign == MP_NEG) { + return MP_LT; + } + + /* compare based on magnitude */ + if (a->used > 1) { + return MP_GT; + } + + /* compare the only digit of a to b */ + if (a->dp[0] > b) { + return MP_GT; + } else if (a->dp[0] < b) { + return MP_LT; + } else { + return MP_EQ; + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_mag.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_mag.c new file mode 100644 index 0000000000..693eb7cc72 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cmp_mag.c @@ -0,0 +1,55 @@ +#include <tommath.h> +#ifdef BN_MP_CMP_MAG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* compare maginitude of two ints (unsigned) */ +int mp_cmp_mag (mp_int * a, mp_int * b) +{ + int n; + mp_digit *tmpa, *tmpb; + + /* compare based on # of non-zero digits */ + if (a->used > b->used) { + return MP_GT; + } + + if (a->used < b->used) { + return MP_LT; + } + + /* alias for a */ + tmpa = a->dp + (a->used - 1); + + /* alias for b */ + tmpb = b->dp + (a->used - 1); + + /* compare based on digits */ + for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { + if (*tmpa > *tmpb) { + return MP_GT; + } + + if (*tmpa < *tmpb) { + return MP_LT; + } + } + return MP_EQ; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cnt_lsb.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cnt_lsb.c new file mode 100644 index 0000000000..66d1a74714 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_cnt_lsb.c @@ -0,0 +1,53 @@ +#include <tommath.h> +#ifdef BN_MP_CNT_LSB_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +static const int lnz[16] = { + 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 +}; + +/* Counts the number of lsbs which are zero before the first zero bit */ +int mp_cnt_lsb(mp_int *a) +{ + int x; + mp_digit q, qq; + + /* easy out */ + if (mp_iszero(a) == 1) { + return 0; + } + + /* scan lower digits until non-zero */ + for (x = 0; x < a->used && a->dp[x] == 0; x++); + q = a->dp[x]; + x *= DIGIT_BIT; + + /* now scan this digit until a 1 is found */ + if ((q & 1) == 0) { + do { + qq = q & 15; + x += lnz[qq]; + q >>= 4; + } while (qq == 0); + } + return x; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_copy.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_copy.c new file mode 100644 index 0000000000..b0de16d8ab --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_copy.c @@ -0,0 +1,68 @@ +#include <tommath.h> +#ifdef BN_MP_COPY_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* copy, b = a */ +int +mp_copy (mp_int * a, mp_int * b) +{ + int res, n; + + /* if dst == src do nothing */ + if (a == b) { + return MP_OKAY; + } + + /* grow dest */ + if (b->alloc < a->used) { + if ((res = mp_grow (b, a->used)) != MP_OKAY) { + return res; + } + } + + /* zero b and copy the parameters over */ + { + register mp_digit *tmpa, *tmpb; + + /* pointer aliases */ + + /* source */ + tmpa = a->dp; + + /* destination */ + tmpb = b->dp; + + /* copy all the digits */ + for (n = 0; n < a->used; n++) { + *tmpb++ = *tmpa++; + } + + /* clear high digits */ + for (; n < b->used; n++) { + *tmpb++ = 0; + } + } + + /* copy used count and sign */ + b->used = a->used; + b->sign = a->sign; + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_count_bits.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_count_bits.c new file mode 100644 index 0000000000..8bc5657a33 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_count_bits.c @@ -0,0 +1,45 @@ +#include <tommath.h> +#ifdef BN_MP_COUNT_BITS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* returns the number of bits in an int */ +int +mp_count_bits (mp_int * a) +{ + int r; + mp_digit q; + + /* shortcut */ + if (a->used == 0) { + return 0; + } + + /* get number of digits and add that */ + r = (a->used - 1) * DIGIT_BIT; + + /* take the last digit and count the bits in it */ + q = a->dp[a->used - 1]; + while (q > ((mp_digit) 0)) { + ++r; + q >>= ((mp_digit) 1); + } + return r; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div.c new file mode 100644 index 0000000000..aee9c94324 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div.c @@ -0,0 +1,292 @@ +#include <tommath.h> +#ifdef BN_MP_DIV_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +#ifdef BN_MP_DIV_SMALL + +/* slower bit-bang division... also smaller */ +int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) +{ + mp_int ta, tb, tq, q; + int res, n, n2; + + /* is divisor zero ? */ + if (mp_iszero (b) == 1) { + return MP_VAL; + } + + /* if a < b then q=0, r = a */ + if (mp_cmp_mag (a, b) == MP_LT) { + if (d != NULL) { + res = mp_copy (a, d); + } else { + res = MP_OKAY; + } + if (c != NULL) { + mp_zero (c); + } + return res; + } + + /* init our temps */ + if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { + return res; + } + + + mp_set(&tq, 1); + n = mp_count_bits(a) - mp_count_bits(b); + if (((res = mp_abs(a, &ta)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || + ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { + goto LBL_ERR; + } + + while (n-- >= 0) { + if (mp_cmp(&tb, &ta) != MP_GT) { + if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || + ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { + goto LBL_ERR; + } + } + if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || + ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { + goto LBL_ERR; + } + } + + /* now q == quotient and ta == remainder */ + n = a->sign; + n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); + if (c != NULL) { + mp_exch(c, &q); + c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; + } + if (d != NULL) { + mp_exch(d, &ta); + d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; + } +LBL_ERR: + mp_clear_multi(&ta, &tb, &tq, &q, NULL); + return res; +} + +#else + +/* integer signed division. + * c*b + d == a [e.g. a/b, c=quotient, d=remainder] + * HAC pp.598 Algorithm 14.20 + * + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the + * case that y has fewer than three digits, etc.. + * + * The overall algorithm is as described as + * 14.20 from HAC but fixed to treat these cases. +*/ +int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +{ + mp_int q, x, y, t1, t2; + int res, n, t, i, norm, neg; + + /* is divisor zero ? */ + if (mp_iszero (b) == 1) { + return MP_VAL; + } + + /* if a < b then q=0, r = a */ + if (mp_cmp_mag (a, b) == MP_LT) { + if (d != NULL) { + res = mp_copy (a, d); + } else { + res = MP_OKAY; + } + if (c != NULL) { + mp_zero (c); + } + return res; + } + + if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { + return res; + } + q.used = a->used + 2; + + if ((res = mp_init (&t1)) != MP_OKAY) { + goto LBL_Q; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init_copy (&x, a)) != MP_OKAY) { + goto LBL_T2; + } + + if ((res = mp_init_copy (&y, b)) != MP_OKAY) { + goto LBL_X; + } + + /* fix the sign */ + neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; + x.sign = y.sign = MP_ZPOS; + + /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ + norm = mp_count_bits(&y) % DIGIT_BIT; + if (norm < (int)(DIGIT_BIT-1)) { + norm = (DIGIT_BIT-1) - norm; + if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { + goto LBL_Y; + } + if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { + goto LBL_Y; + } + } else { + norm = 0; + } + + /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ + n = x.used - 1; + t = y.used - 1; + + /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ + if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ + goto LBL_Y; + } + + while (mp_cmp (&x, &y) != MP_LT) { + ++(q.dp[n - t]); + if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { + goto LBL_Y; + } + } + + /* reset y by shifting it back down */ + mp_rshd (&y, n - t); + + /* step 3. for i from n down to (t + 1) */ + for (i = n; i >= (t + 1); i--) { + if (i > x.used) { + continue; + } + + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ + if (x.dp[i] == y.dp[t]) { + q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); + } else { + mp_word tmp; + tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); + tmp |= ((mp_word) x.dp[i - 1]); + tmp /= ((mp_word) y.dp[t]); + if (tmp > (mp_word) MP_MASK) + tmp = MP_MASK; + q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); + } + + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; + */ + q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; + do { + q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; + + /* find left hand */ + mp_zero (&t1); + t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; + t1.dp[1] = y.dp[t]; + t1.used = 2; + if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { + goto LBL_Y; + } + + /* find right hand */ + t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; + t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; + t2.dp[2] = x.dp[i]; + t2.used = 3; + } while (mp_cmp_mag(&t1, &t2) == MP_GT); + + /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ + if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { + goto LBL_Y; + } + + if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + goto LBL_Y; + } + + if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { + goto LBL_Y; + } + + /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ + if (x.sign == MP_NEG) { + if ((res = mp_copy (&y, &t1)) != MP_OKAY) { + goto LBL_Y; + } + if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + goto LBL_Y; + } + if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { + goto LBL_Y; + } + + q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; + } + } + + /* now q is the quotient and x is the remainder + * [which we have to normalize] + */ + + /* get sign before writing to c */ + x.sign = x.used == 0 ? MP_ZPOS : a->sign; + + if (c != NULL) { + mp_clamp (&q); + mp_exch (&q, c); + c->sign = neg; + } + + if (d != NULL) { + mp_div_2d (&x, norm, &x, NULL); + mp_exch (&x, d); + } + + res = MP_OKAY; + +LBL_Y:mp_clear (&y); +LBL_X:mp_clear (&x); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); +LBL_Q:mp_clear (&q); + return res; +} + +#endif + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2.c new file mode 100644 index 0000000000..7ee3e5b70f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2.c @@ -0,0 +1,68 @@ +#include <tommath.h> +#ifdef BN_MP_DIV_2_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* b = a/2 */ +int mp_div_2(mp_int * a, mp_int * b) +{ + int x, res, oldused; + + /* copy */ + if (b->alloc < a->used) { + if ((res = mp_grow (b, a->used)) != MP_OKAY) { + return res; + } + } + + oldused = b->used; + b->used = a->used; + { + register mp_digit r, rr, *tmpa, *tmpb; + + /* source alias */ + tmpa = a->dp + b->used - 1; + + /* dest alias */ + tmpb = b->dp + b->used - 1; + + /* carry */ + r = 0; + for (x = b->used - 1; x >= 0; x--) { + /* get the carry for the next iteration */ + rr = *tmpa & 1; + + /* shift the current digit, add in carry and store */ + *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); + + /* forward carry to next iteration */ + r = rr; + } + + /* zero excess digits */ + tmpb = b->dp + b->used; + for (x = b->used; x < oldused; x++) { + *tmpb++ = 0; + } + } + b->sign = a->sign; + mp_clamp (b); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2d.c new file mode 100644 index 0000000000..4f7fa59e3f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_2d.c @@ -0,0 +1,97 @@ +#include <tommath.h> +#ifdef BN_MP_DIV_2D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ +int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) +{ + mp_digit D, r, rr; + int x, res; + mp_int t; + + + /* if the shift count is <= 0 then we do no work */ + if (b <= 0) { + res = mp_copy (a, c); + if (d != NULL) { + mp_zero (d); + } + return res; + } + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + /* get the remainder */ + if (d != NULL) { + if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + } + + /* copy */ + if ((res = mp_copy (a, c)) != MP_OKAY) { + mp_clear (&t); + return res; + } + + /* shift by as many digits in the bit count */ + if (b >= (int)DIGIT_BIT) { + mp_rshd (c, b / DIGIT_BIT); + } + + /* shift any bit count < DIGIT_BIT */ + D = (mp_digit) (b % DIGIT_BIT); + if (D != 0) { + register mp_digit *tmpc, mask, shift; + + /* mask */ + mask = (((mp_digit)1) << D) - 1; + + /* shift for lsb */ + shift = DIGIT_BIT - D; + + /* alias */ + tmpc = c->dp + (c->used - 1); + + /* carry */ + r = 0; + for (x = c->used - 1; x >= 0; x--) { + /* get the lower bits of this word in a temp */ + rr = *tmpc & mask; + + /* shift the current word and mix in the carry bits from the previous word */ + *tmpc = (*tmpc >> D) | (r << shift); + --tmpc; + + /* set the carry to the carry bits of the current word found above */ + r = rr; + } + } + mp_clamp (c); + if (d != NULL) { + mp_exch (&t, d); + } + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_3.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_3.c new file mode 100644 index 0000000000..3c60269ece --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_3.c @@ -0,0 +1,79 @@ +#include <tommath.h> +#ifdef BN_MP_DIV_3_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* divide by three (based on routine from MPI and the GMP manual) */ +int +mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) +{ + mp_int q; + mp_word w, t; + mp_digit b; + int res, ix; + + /* b = 2**DIGIT_BIT / 3 */ + b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); + + if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { + return res; + } + + q.used = a->used; + q.sign = a->sign; + w = 0; + for (ix = a->used - 1; ix >= 0; ix--) { + w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); + + if (w >= 3) { + /* multiply w by [1/3] */ + t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); + + /* now subtract 3 * [w/3] from w, to get the remainder */ + w -= t+t+t; + + /* fixup the remainder as required since + * the optimization is not exact. + */ + while (w >= 3) { + t += 1; + w -= 3; + } + } else { + t = 0; + } + q.dp[ix] = (mp_digit)t; + } + + /* [optional] store the remainder */ + if (d != NULL) { + *d = (mp_digit)w; + } + + /* [optional] store the quotient */ + if (c != NULL) { + mp_clamp(&q); + mp_exch(&q, c); + } + mp_clear(&q); + + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_d.c new file mode 100644 index 0000000000..6a26d4f0cf --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_div_d.c @@ -0,0 +1,115 @@ +#include <tommath.h> +#ifdef BN_MP_DIV_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +static int s_is_power_of_two(mp_digit b, int *p) +{ + int x; + + /* fast return if no power of two */ + if ((b==0) || (b & (b-1))) { + return 0; + } + + for (x = 0; x < DIGIT_BIT; x++) { + if (b == (((mp_digit)1)<<x)) { + *p = x; + return 1; + } + } + return 0; +} + +/* single digit division (based on routine from MPI) */ +int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) +{ + mp_int q; + mp_word w; + mp_digit t; + int res, ix; + + /* cannot divide by zero */ + if (b == 0) { + return MP_VAL; + } + + /* quick outs */ + if (b == 1 || mp_iszero(a) == 1) { + if (d != NULL) { + *d = 0; + } + if (c != NULL) { + return mp_copy(a, c); + } + return MP_OKAY; + } + + /* power of two ? */ + if (s_is_power_of_two(b, &ix) == 1) { + if (d != NULL) { + *d = a->dp[0] & ((((mp_digit)1)<<ix) - 1); + } + if (c != NULL) { + return mp_div_2d(a, ix, c, NULL); + } + return MP_OKAY; + } + +#ifdef BN_MP_DIV_3_C + /* three? */ + if (b == 3) { + return mp_div_3(a, c, d); + } +#endif + + /* no easy answer [c'est la vie]. Just division */ + if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { + return res; + } + + q.used = a->used; + q.sign = a->sign; + w = 0; + for (ix = a->used - 1; ix >= 0; ix--) { + w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); + + if (w >= b) { + t = (mp_digit)(w / b); + w -= ((mp_word)t) * ((mp_word)b); + } else { + t = 0; + } + q.dp[ix] = (mp_digit)t; + } + + if (d != NULL) { + *d = (mp_digit)w; + } + + if (c != NULL) { + mp_clamp(&q); + mp_exch(&q, c); + } + mp_clear(&q); + + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2007/01/09 04:44:32 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_is_modulus.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_is_modulus.c new file mode 100644 index 0000000000..52373440d8 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_is_modulus.c @@ -0,0 +1,43 @@ +#include <tommath.h> +#ifdef BN_MP_DR_IS_MODULUS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines if a number is a valid DR modulus */ +int mp_dr_is_modulus(mp_int *a) +{ + int ix; + + /* must be at least two digits */ + if (a->used < 2) { + return 0; + } + + /* must be of the form b**k - a [a <= b] so all + * but the first digit must be equal to -1 (mod b). + */ + for (ix = 1; ix < a->used; ix++) { + if (a->dp[ix] != MP_MASK) { + return 0; + } + } + return 1; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_reduce.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_reduce.c new file mode 100644 index 0000000000..e60b5784f1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_reduce.c @@ -0,0 +1,94 @@ +#include <tommath.h> +#ifdef BN_MP_DR_REDUCE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. + * + * Based on algorithm from the paper + * + * "Generating Efficient Primes for Discrete Log Cryptosystems" + * Chae Hoon Lim, Pil Joong Lee, + * POSTECH Information Research Laboratories + * + * The modulus must be of a special format [see manual] + * + * Has been modified to use algorithm 7.10 from the LTM book instead + * + * Input x must be in the range 0 <= x <= (n-1)**2 + */ +int +mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) +{ + int err, i, m; + mp_word r; + mp_digit mu, *tmpx1, *tmpx2; + + /* m = digits in modulus */ + m = n->used; + + /* ensure that "x" has at least 2m digits */ + if (x->alloc < m + m) { + if ((err = mp_grow (x, m + m)) != MP_OKAY) { + return err; + } + } + +/* top of loop, this is where the code resumes if + * another reduction pass is required. + */ +top: + /* aliases for digits */ + /* alias for lower half of x */ + tmpx1 = x->dp; + + /* alias for upper half of x, or x/B**m */ + tmpx2 = x->dp + m; + + /* set carry to zero */ + mu = 0; + + /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ + for (i = 0; i < m; i++) { + r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; + *tmpx1++ = (mp_digit)(r & MP_MASK); + mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); + } + + /* set final carry */ + *tmpx1++ = mu; + + /* zero words above m */ + for (i = m + 1; i < x->used; i++) { + *tmpx1++ = 0; + } + + /* clamp, sub and return */ + mp_clamp (x); + + /* if x >= n then subtract and reduce again + * Each successive "recursion" makes the input smaller and smaller. + */ + if (mp_cmp_mag (x, n) != MP_LT) { + s_mp_sub(x, n, x); + goto top; + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_setup.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_setup.c new file mode 100644 index 0000000000..1d7d856ef0 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_dr_setup.c @@ -0,0 +1,32 @@ +#include <tommath.h> +#ifdef BN_MP_DR_SETUP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines the setup value */ +void mp_dr_setup(mp_int *a, mp_digit *d) +{ + /* the casts are required if DIGIT_BIT is one less than + * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] + */ + *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - + ((mp_word)a->dp[0])); +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exch.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exch.c new file mode 100644 index 0000000000..38574e0a5e --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exch.c @@ -0,0 +1,34 @@ +#include <tommath.h> +#ifdef BN_MP_EXCH_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* swap the elements of two integers, for cases where you can't simply swap the + * mp_int pointers around + */ +void +mp_exch (mp_int * a, mp_int * b) +{ + mp_int t; + + t = *a; + *a = *b; + *b = t; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_expt_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_expt_d.c new file mode 100644 index 0000000000..4bdc2d13a6 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_expt_d.c @@ -0,0 +1,57 @@ +#include <tommath.h> +#ifdef BN_MP_EXPT_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* calculate c = a**b using a square-multiply algorithm */ +int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) +{ + int res, x; + mp_int g; + + if ((res = mp_init_copy (&g, a)) != MP_OKAY) { + return res; + } + + /* set initial result */ + mp_set (c, 1); + + for (x = 0; x < (int) DIGIT_BIT; x++) { + /* square */ + if ((res = mp_sqr (c, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + + /* if the bit is set multiply */ + if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b <<= 1; + } + + mp_clear (&g); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod.c new file mode 100644 index 0000000000..023191657a --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod.c @@ -0,0 +1,112 @@ +#include <tommath.h> +#ifdef BN_MP_EXPTMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + + +/* this is a shell function that calls either the normal or Montgomery + * exptmod functions. Originally the call to the montgomery code was + * embedded in the normal function but that wasted alot of stack space + * for nothing (since 99% of the time the Montgomery code would be called) + */ +int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) +{ + int dr; + + /* modulus P must be positive */ + if (P->sign == MP_NEG) { + return MP_VAL; + } + + /* if exponent X is negative we have to recurse */ + if (X->sign == MP_NEG) { +#ifdef BN_MP_INVMOD_C + mp_int tmpG, tmpX; + int err; + + /* first compute 1/G mod P */ + if ((err = mp_init(&tmpG)) != MP_OKAY) { + return err; + } + if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { + mp_clear(&tmpG); + return err; + } + + /* now get |X| */ + if ((err = mp_init(&tmpX)) != MP_OKAY) { + mp_clear(&tmpG); + return err; + } + if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { + mp_clear_multi(&tmpG, &tmpX, NULL); + return err; + } + + /* and now compute (1/G)**|X| instead of G**X [X < 0] */ + err = mp_exptmod(&tmpG, &tmpX, P, Y); + mp_clear_multi(&tmpG, &tmpX, NULL); + return err; +#else + /* no invmod */ + return MP_VAL; +#endif + } + +/* modified diminished radix reduction */ +#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) + if (mp_reduce_is_2k_l(P) == MP_YES) { + return s_mp_exptmod(G, X, P, Y, 1); + } +#endif + +#ifdef BN_MP_DR_IS_MODULUS_C + /* is it a DR modulus? */ + dr = mp_dr_is_modulus(P); +#else + /* default to no */ + dr = 0; +#endif + +#ifdef BN_MP_REDUCE_IS_2K_C + /* if not, is it a unrestricted DR modulus? */ + if (dr == 0) { + dr = mp_reduce_is_2k(P) << 1; + } +#endif + + /* if the modulus is odd or dr != 0 use the montgomery method */ +#ifdef BN_MP_EXPTMOD_FAST_C + if (mp_isodd (P) == 1 || dr != 0) { + return mp_exptmod_fast (G, X, P, Y, dr); + } else { +#endif +#ifdef BN_S_MP_EXPTMOD_C + /* otherwise use the generic Barrett reduction technique */ + return s_mp_exptmod (G, X, P, Y, 0); +#else + /* no exptmod for evens */ + return MP_VAL; +#endif +#ifdef BN_MP_EXPTMOD_FAST_C + } +#endif +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod_fast.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod_fast.c new file mode 100644 index 0000000000..2a3b3c9e81 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exptmod_fast.c @@ -0,0 +1,321 @@ +#include <tommath.h> +#ifdef BN_MP_EXPTMOD_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 + * + * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. + * The value of k changes based on the size of the exponent. + * + * Uses Montgomery or Diminished Radix reduction [whichever appropriate] + */ + +#ifdef MP_LOW_MEM + #define TAB_SIZE 32 +#else + #define TAB_SIZE 256 +#endif + +int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) +{ + mp_int M[TAB_SIZE], res; + mp_digit buf, mp; + int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + + /* use a pointer to the reduction algorithm. This allows us to use + * one of many reduction algorithms without modding the guts of + * the code with if statements everywhere. + */ + int (*redux)(mp_int*,mp_int*,mp_digit); + + /* find window size */ + x = mp_count_bits (X); + if (x <= 7) { + winsize = 2; + } else if (x <= 36) { + winsize = 3; + } else if (x <= 140) { + winsize = 4; + } else if (x <= 450) { + winsize = 5; + } else if (x <= 1303) { + winsize = 6; + } else if (x <= 3529) { + winsize = 7; + } else { + winsize = 8; + } + +#ifdef MP_LOW_MEM + if (winsize > 5) { + winsize = 5; + } +#endif + + /* init M array */ + /* init first cell */ + if ((err = mp_init(&M[1])) != MP_OKAY) { + return err; + } + + /* now init the second half of the array */ + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + if ((err = mp_init(&M[x])) != MP_OKAY) { + for (y = 1<<(winsize-1); y < x; y++) { + mp_clear (&M[y]); + } + mp_clear(&M[1]); + return err; + } + } + + /* determine and setup reduction code */ + if (redmode == 0) { +#ifdef BN_MP_MONTGOMERY_SETUP_C + /* now setup montgomery */ + if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { + goto LBL_M; + } +#else + err = MP_VAL; + goto LBL_M; +#endif + + /* automatically pick the comba one if available (saves quite a few calls/ifs) */ +#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C + if (((P->used * 2 + 1) < MP_WARRAY) && + P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + redux = fast_mp_montgomery_reduce; + } else +#endif + { +#ifdef BN_MP_MONTGOMERY_REDUCE_C + /* use slower baseline Montgomery method */ + redux = mp_montgomery_reduce; +#else + err = MP_VAL; + goto LBL_M; +#endif + } + } else if (redmode == 1) { +#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) + /* setup DR reduction for moduli of the form B**k - b */ + mp_dr_setup(P, &mp); + redux = mp_dr_reduce; +#else + err = MP_VAL; + goto LBL_M; +#endif + } else { +#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) + /* setup DR reduction for moduli of the form 2**k - b */ + if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { + goto LBL_M; + } + redux = mp_reduce_2k; +#else + err = MP_VAL; + goto LBL_M; +#endif + } + + /* setup result */ + if ((err = mp_init (&res)) != MP_OKAY) { + goto LBL_M; + } + + /* create M table + * + + * + * The first half of the table is not computed though accept for M[0] and M[1] + */ + + if (redmode == 0) { +#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C + /* now we need R mod m */ + if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { + goto LBL_RES; + } +#else + err = MP_VAL; + goto LBL_RES; +#endif + + /* now set M[1] to G * R mod m */ + if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { + goto LBL_RES; + } + } else { + mp_set(&res, 1); + if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { + goto LBL_RES; + } + } + + /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ + if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { + goto LBL_RES; + } + + for (x = 0; x < (winsize - 1); x++) { + if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { + goto LBL_RES; + } + } + + /* create upper table */ + for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { + if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&M[x], P, mp)) != MP_OKAY) { + goto LBL_RES; + } + } + + /* set initial mode and bit cnt */ + mode = 0; + bitcnt = 1; + buf = 0; + digidx = X->used - 1; + bitcpy = 0; + bitbuf = 0; + + for (;;) { + /* grab next digit as required */ + if (--bitcnt == 0) { + /* if digidx == -1 we are out of digits so break */ + if (digidx == -1) { + break; + } + /* read next digit and reset bitcnt */ + buf = X->dp[digidx--]; + bitcnt = (int)DIGIT_BIT; + } + + /* grab the next msb from the exponent */ + y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; + buf <<= (mp_digit)1; + + /* if the bit is zero and mode == 0 then we ignore it + * These represent the leading zero bits before the first 1 bit + * in the exponent. Technically this opt is not required but it + * does lower the # of trivial squaring/reductions used + */ + if (mode == 0 && y == 0) { + continue; + } + + /* if the bit is zero and mode == 1 then we square */ + if (mode == 1 && y == 0) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + continue; + } + + /* else we add it to the window */ + bitbuf |= (y << (winsize - ++bitcpy)); + mode = 2; + + if (bitcpy == winsize) { + /* ok window is filled so square as required and multiply */ + /* square first */ + for (x = 0; x < winsize; x++) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + } + + /* then multiply */ + if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + + /* empty window and reset */ + bitcpy = 0; + bitbuf = 0; + mode = 1; + } + } + + /* if bits remain then square/multiply */ + if (mode == 2 && bitcpy > 0) { + /* square then multiply if the bit is set */ + for (x = 0; x < bitcpy; x++) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + + /* get next bit of the window */ + bitbuf <<= 1; + if ((bitbuf & (1 << winsize)) != 0) { + /* then multiply */ + if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + } + } + } + + if (redmode == 0) { + /* fixup result if Montgomery reduction is used + * recall that any value in a Montgomery system is + * actually multiplied by R mod n. So we have + * to reduce one more time to cancel out the factor + * of R. + */ + if ((err = redux(&res, P, mp)) != MP_OKAY) { + goto LBL_RES; + } + } + + /* swap res with Y */ + mp_exch (&res, Y); + err = MP_OKAY; +LBL_RES:mp_clear (&res); +LBL_M: + mp_clear(&M[1]); + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + mp_clear (&M[x]); + } + return err; +} +#endif + + +/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exteuclid.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exteuclid.c new file mode 100644 index 0000000000..e6c4ce2b85 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_exteuclid.c @@ -0,0 +1,82 @@ +#include <tommath.h> +#ifdef BN_MP_EXTEUCLID_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Extended euclidean algorithm of (a, b) produces + a*u1 + b*u2 = u3 + */ +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) +{ + mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; + int err; + + if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { + return err; + } + + /* initialize, (u1,u2,u3) = (1,0,a) */ + mp_set(&u1, 1); + if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; } + + /* initialize, (v1,v2,v3) = (0,1,b) */ + mp_set(&v2, 1); + if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; } + + /* loop while v3 != 0 */ + while (mp_iszero(&v3) == MP_NO) { + /* q = u3/v3 */ + if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; } + + /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ + if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; } + if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; } + if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; } + if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; } + + /* (u1,u2,u3) = (v1,v2,v3) */ + if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; } + + /* (v1,v2,v3) = (t1,t2,t3) */ + if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } + } + + /* make sure U3 >= 0 */ + if (u3.sign == MP_NEG) { + mp_neg(&u1, &u1); + mp_neg(&u2, &u2); + mp_neg(&u3, &u3); + } + + /* copy result out */ + if (U1 != NULL) { mp_exch(U1, &u1); } + if (U2 != NULL) { mp_exch(U2, &u2); } + if (U3 != NULL) { mp_exch(U3, &u3); } + + err = MP_OKAY; +_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_find_prime.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_find_prime.c new file mode 100644 index 0000000000..0458744fc7 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_find_prime.c @@ -0,0 +1,26 @@ +/* TomsFastMath, a fast ISO C bignum library. + * + * This project is public domain and free for all purposes. + * + * Love Hornquist Astrand <lha@h5l.org> + */ +#include <tommath.h> + +int mp_find_prime(mp_int *a) +{ + int res; + + if (mp_iseven(a)) + mp_add_d(a, 1, a); + + do { + + if ((res = mp_isprime(a)) == MP_NO) { + mp_add_d(a, 2, a); + continue; + } + + } while (res != MP_YES); + + return res; +} diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fread.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fread.c new file mode 100644 index 0000000000..b344b6f05d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fread.c @@ -0,0 +1,67 @@ +#include <tommath.h> +#ifdef BN_MP_FREAD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* read a bigint from a file stream in ASCII */ +int mp_fread(mp_int *a, int radix, FILE *stream) +{ + int err, ch, neg, y; + + /* clear a */ + mp_zero(a); + + /* if first digit is - then set negative */ + ch = fgetc(stream); + if (ch == '-') { + neg = MP_NEG; + ch = fgetc(stream); + } else { + neg = MP_ZPOS; + } + + for (;;) { + /* find y in the radix map */ + for (y = 0; y < radix; y++) { + if (mp_s_rmap[y] == ch) { + break; + } + } + if (y == radix) { + break; + } + + /* shift up and add */ + if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { + return err; + } + if ((err = mp_add_d(a, y, a)) != MP_OKAY) { + return err; + } + + ch = fgetc(stream); + } + if (mp_cmp_d(a, 0) != MP_EQ) { + a->sign = neg; + } + + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fwrite.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fwrite.c new file mode 100644 index 0000000000..a0b4c6b6d1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_fwrite.c @@ -0,0 +1,52 @@ +#include <tommath.h> +#ifdef BN_MP_FWRITE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +int mp_fwrite(mp_int *a, int radix, FILE *stream) +{ + char *buf; + int err, len, x; + + if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { + return err; + } + + buf = OPT_CAST(char) XMALLOC (len); + if (buf == NULL) { + return MP_MEM; + } + + if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { + XFREE (buf); + return err; + } + + for (x = 0; x < len; x++) { + if (fputc(buf[x], stream) == EOF) { + XFREE (buf); + return MP_VAL; + } + } + + XFREE (buf); + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_gcd.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_gcd.c new file mode 100644 index 0000000000..b39ba9041d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_gcd.c @@ -0,0 +1,105 @@ +#include <tommath.h> +#ifdef BN_MP_GCD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Greatest Common Divisor using the binary method */ +int mp_gcd (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int u, v; + int k, u_lsb, v_lsb, res; + + /* either zero than gcd is the largest */ + if (mp_iszero (a) == MP_YES) { + return mp_abs (b, c); + } + if (mp_iszero (b) == MP_YES) { + return mp_abs (a, c); + } + + /* get copies of a and b we can modify */ + if ((res = mp_init_copy (&u, a)) != MP_OKAY) { + return res; + } + + if ((res = mp_init_copy (&v, b)) != MP_OKAY) { + goto LBL_U; + } + + /* must be positive for the remainder of the algorithm */ + u.sign = v.sign = MP_ZPOS; + + /* B1. Find the common power of two for u and v */ + u_lsb = mp_cnt_lsb(&u); + v_lsb = mp_cnt_lsb(&v); + k = MIN(u_lsb, v_lsb); + + if (k > 0) { + /* divide the power of two out */ + if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { + goto LBL_V; + } + + if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + /* divide any remaining factors of two out */ + if (u_lsb != k) { + if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + if (v_lsb != k) { + if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + while (mp_iszero(&v) == 0) { + /* make sure v is the largest */ + if (mp_cmp_mag(&u, &v) == MP_GT) { + /* swap u and v to make sure v is >= u */ + mp_exch(&u, &v); + } + + /* subtract smallest from largest */ + if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { + goto LBL_V; + } + + /* Divide out all factors of two */ + if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + /* multiply by 2**k which we divided out at the beginning */ + if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { + goto LBL_V; + } + c->sign = MP_ZPOS; + res = MP_OKAY; +LBL_V:mp_clear (&u); +LBL_U:mp_clear (&v); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_get_int.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_get_int.c new file mode 100644 index 0000000000..17162e2bf1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_get_int.c @@ -0,0 +1,45 @@ +#include <tommath.h> +#ifdef BN_MP_GET_INT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* get the lower 32-bits of an mp_int */ +unsigned long mp_get_int(mp_int * a) +{ + int i; + unsigned long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } + + /* force result to 32-bits always so it is consistent on non 32-bit platforms */ + return res & 0xFFFFFFFFUL; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_grow.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_grow.c new file mode 100644 index 0000000000..cf2b949b24 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_grow.c @@ -0,0 +1,57 @@ +#include <tommath.h> +#ifdef BN_MP_GROW_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* grow as required */ +int mp_grow (mp_int * a, int size) +{ + int i; + mp_digit *tmp; + + /* if the alloc size is smaller alloc more ram */ + if (a->alloc < size) { + /* ensure there are always at least MP_PREC digits extra on top */ + size += (MP_PREC * 2) - (size % MP_PREC); + + /* reallocate the array a->dp + * + * We store the return in a temporary variable + * in case the operation failed we don't want + * to overwrite the dp member of a. + */ + tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); + if (tmp == NULL) { + /* reallocation failed but "a" is still valid [can be freed] */ + return MP_MEM; + } + + /* reallocation succeeded so set a->dp */ + a->dp = tmp; + + /* zero excess digits */ + i = a->alloc; + a->alloc = size; + for (; i < a->alloc; i++) { + a->dp[i] = 0; + } + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init.c new file mode 100644 index 0000000000..8be27f5696 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init.c @@ -0,0 +1,46 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* init a new mp_int */ +int mp_init (mp_int * a) +{ + int i; + + /* allocate memory required and clear it */ + a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); + if (a->dp == NULL) { + return MP_MEM; + } + + /* set the digits to zero */ + for (i = 0; i < MP_PREC; i++) { + a->dp[i] = 0; + } + + /* set the used to zero, allocated digits to the default precision + * and sign to positive */ + a->used = 0; + a->alloc = MP_PREC; + a->sign = MP_ZPOS; + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_copy.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_copy.c new file mode 100644 index 0000000000..0160811aff --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_copy.c @@ -0,0 +1,32 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_COPY_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* creates "a" then copies b into it */ +int mp_init_copy (mp_int * a, mp_int * b) +{ + int res; + + if ((res = mp_init (a)) != MP_OKAY) { + return res; + } + return mp_copy (b, a); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_multi.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_multi.c new file mode 100644 index 0000000000..59dc3a9ea7 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_multi.c @@ -0,0 +1,59 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_MULTI_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ +#include <stdarg.h> + +int mp_init_multi(mp_int *mp, ...) +{ + mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ + int n = 0; /* Number of ok inits */ + mp_int* cur_arg = mp; + va_list args; + + va_start(args, mp); /* init args to next argument from caller */ + while (cur_arg != NULL) { + if (mp_init(cur_arg) != MP_OKAY) { + /* Oops - error! Back-track and mp_clear what we already + succeeded in init-ing, then return error. + */ + va_list clean_args; + + /* end the current list */ + va_end(args); + + /* now start cleaning up */ + cur_arg = mp; + va_start(clean_args, mp); + while (n--) { + mp_clear(cur_arg); + cur_arg = va_arg(clean_args, mp_int*); + } + va_end(clean_args); + res = MP_MEM; + break; + } + n++; + cur_arg = va_arg(args, mp_int*); + } + va_end(args); + return res; /* Assumed ok, if error flagged above. */ +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set.c new file mode 100644 index 0000000000..34edad92ff --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set.c @@ -0,0 +1,32 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_SET_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* initialize and set a digit */ +int mp_init_set (mp_int * a, mp_digit b) +{ + int err; + if ((err = mp_init(a)) != MP_OKAY) { + return err; + } + mp_set(a, b); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set_int.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set_int.c new file mode 100644 index 0000000000..5c55993152 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_set_int.c @@ -0,0 +1,31 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_SET_INT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* initialize and set a digit */ +int mp_init_set_int (mp_int * a, unsigned long b) +{ + int err; + if ((err = mp_init(a)) != MP_OKAY) { + return err; + } + return mp_set_int(a, b); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_size.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_size.c new file mode 100644 index 0000000000..8e014183a3 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_init_size.c @@ -0,0 +1,48 @@ +#include <tommath.h> +#ifdef BN_MP_INIT_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* init an mp_init for a given size */ +int mp_init_size (mp_int * a, int size) +{ + int x; + + /* pad size so there are always extra digits */ + size += (MP_PREC * 2) - (size % MP_PREC); + + /* alloc mem */ + a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); + if (a->dp == NULL) { + return MP_MEM; + } + + /* set the members */ + a->used = 0; + a->alloc = size; + a->sign = MP_ZPOS; + + /* zero the digits */ + for (x = 0; x < size; x++) { + a->dp[x] = 0; + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod.c new file mode 100644 index 0000000000..154651468f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod.c @@ -0,0 +1,43 @@ +#include <tommath.h> +#ifdef BN_MP_INVMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* hac 14.61, pp608 */ +int mp_invmod (mp_int * a, mp_int * b, mp_int * c) +{ + /* b cannot be negative */ + if (b->sign == MP_NEG || mp_iszero(b) == 1) { + return MP_VAL; + } + +#ifdef BN_FAST_MP_INVMOD_C + /* if the modulus is odd we can use a faster routine instead */ + if (mp_isodd (b) == 1) { + return fast_mp_invmod (a, b, c); + } +#endif + +#ifdef BN_MP_INVMOD_SLOW_C + return mp_invmod_slow(a, b, c); +#endif + + return MP_VAL; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod_slow.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod_slow.c new file mode 100644 index 0000000000..eedd47dcf1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_invmod_slow.c @@ -0,0 +1,175 @@ +#include <tommath.h> +#ifdef BN_MP_INVMOD_SLOW_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* hac 14.61, pp608 */ +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int x, y, u, v, A, B, C, D; + int res; + + /* b cannot be negative */ + if (b->sign == MP_NEG || mp_iszero(b) == 1) { + return MP_VAL; + } + + /* init temps */ + if ((res = mp_init_multi(&x, &y, &u, &v, + &A, &B, &C, &D, NULL)) != MP_OKAY) { + return res; + } + + /* x = a, y = b */ + if ((res = mp_mod(a, b, &x)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_copy (b, &y)) != MP_OKAY) { + goto LBL_ERR; + } + + /* 2. [modified] if x,y are both even then return an error! */ + if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { + res = MP_VAL; + goto LBL_ERR; + } + + /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ + if ((res = mp_copy (&x, &u)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_copy (&y, &v)) != MP_OKAY) { + goto LBL_ERR; + } + mp_set (&A, 1); + mp_set (&D, 1); + +top: + /* 4. while u is even do */ + while (mp_iseven (&u) == 1) { + /* 4.1 u = u/2 */ + if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { + goto LBL_ERR; + } + /* 4.2 if A or B is odd then */ + if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { + /* A = (A+y)/2, B = (B-x)/2 */ + if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } + /* A = A/2, B = B/2 */ + if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* 5. while v is even do */ + while (mp_iseven (&v) == 1) { + /* 5.1 v = v/2 */ + if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { + goto LBL_ERR; + } + /* 5.2 if C or D is odd then */ + if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { + /* C = (C+y)/2, D = (D-x)/2 */ + if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + /* C = C/2, D = D/2 */ + if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { + goto LBL_ERR; + } + if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* 6. if u >= v then */ + if (mp_cmp (&u, &v) != MP_LT) { + /* u = u - v, A = A - C, B = B - D */ + if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { + goto LBL_ERR; + } + } else { + /* v - v - u, C = C - A, D = D - B */ + if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { + goto LBL_ERR; + } + + if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* if not zero goto step 4 */ + if (mp_iszero (&u) == 0) + goto top; + + /* now a = C, b = D, gcd == g*v */ + + /* if v != 1 then there is no inverse */ + if (mp_cmp_d (&v, 1) != MP_EQ) { + res = MP_VAL; + goto LBL_ERR; + } + + /* if its too low */ + while (mp_cmp_d(&C, 0) == MP_LT) { + if ((res = mp_add(&C, b, &C)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* too big */ + while (mp_cmp_mag(&C, b) != MP_LT) { + if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* C is now the inverse */ + mp_exch (&C, c); + res = MP_OKAY; +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_is_square.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_is_square.c new file mode 100644 index 0000000000..50c524444e --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_is_square.c @@ -0,0 +1,109 @@ +#include <tommath.h> +#ifdef BN_MP_IS_SQUARE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Check if remainders are possible squares - fast exclude non-squares */ +static const char rem_128[128] = { + 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 +}; + +static const char rem_105[105] = { + 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, + 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, + 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, + 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, + 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, + 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, + 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 +}; + +/* Store non-zero to ret if arg is square, and zero if not */ +int mp_is_square(mp_int *arg,int *ret) +{ + int res; + mp_digit c; + mp_int t; + unsigned long r; + + /* Default to Non-square :) */ + *ret = MP_NO; + + if (arg->sign == MP_NEG) { + return MP_VAL; + } + + /* digits used? (TSD) */ + if (arg->used == 0) { + return MP_OKAY; + } + + /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ + if (rem_128[127 & DIGIT(arg,0)] == 1) { + return MP_OKAY; + } + + /* Next check mod 105 (3*5*7) */ + if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { + return res; + } + if (rem_105[c] == 1) { + return MP_OKAY; + } + + + if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { + return res; + } + if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { + goto ERR; + } + r = mp_get_int(&t); + /* Check for other prime modules, note it's not an ERROR but we must + * free "t" so the easiest way is to goto ERR. We know that res + * is already equal to MP_OKAY from the mp_mod call + */ + if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; + if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; + if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; + if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; + if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; + if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; + if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; + + /* Final check - is sqr(sqrt(arg)) == arg ? */ + if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sqr(&t,&t)) != MP_OKAY) { + goto ERR; + } + + *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; +ERR:mp_clear(&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_isprime.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_isprime.c new file mode 100644 index 0000000000..07ce86f296 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_isprime.c @@ -0,0 +1,75 @@ +/* TomsFastMath, a fast ISO C bignum library. + * + * This project is meant to fill in where LibTomMath + * falls short. That is speed ;-) + * + * This project is public domain and free for all purposes. + * + * Tom St Denis, tomstdenis@gmail.com + */ +#include <tommath.h> + +/* a few primes */ +static const mp_digit primes[256] = { + 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, + 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, + 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, + 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, 0x0083, + 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, + 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, + 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, + 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, + + 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, + 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, + 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, + 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, + 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, + 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, + 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, + 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, + + 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, + 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, + 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, + 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, + 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, + 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, + 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, + 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, + + 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, + 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, + 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, + 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, + 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, + 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, + 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, + 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 +}; + +int mp_isprime(mp_int *a) +{ + mp_int b; + mp_digit d; + int r, res; + + /* do trial division */ + for (r = 0; r < 256; r++) { + mp_mod_d(a, primes[r], &d); + if (d == 0) { + return MP_NO; + } + } + + /* now do 8 miller rabins */ + mp_init(&b); + for (r = 0; r < 128; r++) { + mp_set(&b, primes[r]); + mp_prime_miller_rabin(a, &b, &res); + if (res == MP_NO) { + return MP_NO; + } + } + return MP_YES; +} diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_jacobi.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_jacobi.c new file mode 100644 index 0000000000..91cfeeade4 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_jacobi.c @@ -0,0 +1,105 @@ +#include <tommath.h> +#ifdef BN_MP_JACOBI_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes the jacobi c = (a | n) (or Legendre if n is prime) + * HAC pp. 73 Algorithm 2.149 + */ +int mp_jacobi (mp_int * a, mp_int * p, int *c) +{ + mp_int a1, p1; + int k, s, r, res; + mp_digit residue; + + /* if p <= 0 return MP_VAL */ + if (mp_cmp_d(p, 0) != MP_GT) { + return MP_VAL; + } + + /* step 1. if a == 0, return 0 */ + if (mp_iszero (a) == 1) { + *c = 0; + return MP_OKAY; + } + + /* step 2. if a == 1, return 1 */ + if (mp_cmp_d (a, 1) == MP_EQ) { + *c = 1; + return MP_OKAY; + } + + /* default */ + s = 0; + + /* step 3. write a = a1 * 2**k */ + if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&p1)) != MP_OKAY) { + goto LBL_A1; + } + + /* divide out larger power of two */ + k = mp_cnt_lsb(&a1); + if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { + goto LBL_P1; + } + + /* step 4. if e is even set s=1 */ + if ((k & 1) == 0) { + s = 1; + } else { + /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ + residue = p->dp[0] & 7; + + if (residue == 1 || residue == 7) { + s = 1; + } else if (residue == 3 || residue == 5) { + s = -1; + } + } + + /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ + if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { + s = -s; + } + + /* if a1 == 1 we're done */ + if (mp_cmp_d (&a1, 1) == MP_EQ) { + *c = s; + } else { + /* n1 = n mod a1 */ + if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { + goto LBL_P1; + } + if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { + goto LBL_P1; + } + *c = s * r; + } + + /* done */ + res = MP_OKAY; +LBL_P1:mp_clear (&p1); +LBL_A1:mp_clear (&a1); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_mul.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_mul.c new file mode 100644 index 0000000000..8ea2c2792a --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_mul.c @@ -0,0 +1,167 @@ +#include <tommath.h> +#ifdef BN_MP_KARATSUBA_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* c = |a| * |b| using Karatsuba Multiplication using + * three half size multiplications + * + * Let B represent the radix [e.g. 2**DIGIT_BIT] and + * let n represent half of the number of digits in + * the min(a,b) + * + * a = a1 * B**n + a0 + * b = b1 * B**n + b0 + * + * Then, a * b => + a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 + * + * Note that a1b1 and a0b0 are used twice and only need to be + * computed once. So in total three half size (half # of + * digit) multiplications are performed, a0b0, a1b1 and + * (a1+b1)(a0+b0) + * + * Note that a multiplication of half the digits requires + * 1/4th the number of single precision multiplications so in + * total after one call 25% of the single precision multiplications + * are saved. Note also that the call to mp_mul can end up back + * in this function if the a0, a1, b0, or b1 are above the threshold. + * This is known as divide-and-conquer and leads to the famous + * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than + * the standard O(N**2) that the baseline/comba methods use. + * Generally though the overhead of this method doesn't pay off + * until a certain size (N ~ 80) is reached. + */ +int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int x0, x1, y0, y1, t1, x0y0, x1y1; + int B, err; + + /* default the return code to an error */ + err = MP_MEM; + + /* min # of digits */ + B = MIN (a->used, b->used); + + /* now divide in two */ + B = B >> 1; + + /* init copy all the temps */ + if (mp_init_size (&x0, B) != MP_OKAY) + goto ERR; + if (mp_init_size (&x1, a->used - B) != MP_OKAY) + goto X0; + if (mp_init_size (&y0, B) != MP_OKAY) + goto X1; + if (mp_init_size (&y1, b->used - B) != MP_OKAY) + goto Y0; + + /* init temps */ + if (mp_init_size (&t1, B * 2) != MP_OKAY) + goto Y1; + if (mp_init_size (&x0y0, B * 2) != MP_OKAY) + goto T1; + if (mp_init_size (&x1y1, B * 2) != MP_OKAY) + goto X0Y0; + + /* now shift the digits */ + x0.used = y0.used = B; + x1.used = a->used - B; + y1.used = b->used - B; + + { + register int x; + register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + + /* we copy the digits directly instead of using higher level functions + * since we also need to shift the digits + */ + tmpa = a->dp; + tmpb = b->dp; + + tmpx = x0.dp; + tmpy = y0.dp; + for (x = 0; x < B; x++) { + *tmpx++ = *tmpa++; + *tmpy++ = *tmpb++; + } + + tmpx = x1.dp; + for (x = B; x < a->used; x++) { + *tmpx++ = *tmpa++; + } + + tmpy = y1.dp; + for (x = B; x < b->used; x++) { + *tmpy++ = *tmpb++; + } + } + + /* only need to clamp the lower words since by definition the + * upper words x1/y1 must have a known number of digits + */ + mp_clamp (&x0); + mp_clamp (&y0); + + /* now calc the products x0y0 and x1y1 */ + /* after this x0 is no longer required, free temp [x0==t2]! */ + if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) + goto X1Y1; /* x0y0 = x0*y0 */ + if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) + goto X1Y1; /* x1y1 = x1*y1 */ + + /* now calc x1+x0 and y1+y0 */ + if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) + goto X1Y1; /* t1 = x1 - x0 */ + if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) + goto X1Y1; /* t2 = y1 - y0 */ + if (mp_mul (&t1, &x0, &t1) != MP_OKAY) + goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ + + /* add x0y0 */ + if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) + goto X1Y1; /* t2 = x0y0 + x1y1 */ + if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) + goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ + + /* shift by B */ + if (mp_lshd (&t1, B) != MP_OKAY) + goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<<B */ + if (mp_lshd (&x1y1, B * 2) != MP_OKAY) + goto X1Y1; /* x1y1 = x1y1 << 2*B */ + + if (mp_add (&x0y0, &t1, &t1) != MP_OKAY) + goto X1Y1; /* t1 = x0y0 + t1 */ + if (mp_add (&t1, &x1y1, c) != MP_OKAY) + goto X1Y1; /* t1 = x0y0 + t1 + x1y1 */ + + /* Algorithm succeeded set the return code to MP_OKAY */ + err = MP_OKAY; + +X1Y1:mp_clear (&x1y1); +X0Y0:mp_clear (&x0y0); +T1:mp_clear (&t1); +Y1:mp_clear (&y1); +Y0:mp_clear (&y0); +X1:mp_clear (&x1); +X0:mp_clear (&x0); +ERR: + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_sqr.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_sqr.c new file mode 100644 index 0000000000..a5e198be12 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_karatsuba_sqr.c @@ -0,0 +1,121 @@ +#include <tommath.h> +#ifdef BN_MP_KARATSUBA_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Karatsuba squaring, computes b = a*a using three + * half size squarings + * + * See comments of karatsuba_mul for details. It + * is essentially the same algorithm but merely + * tuned to perform recursive squarings. + */ +int mp_karatsuba_sqr (mp_int * a, mp_int * b) +{ + mp_int x0, x1, t1, t2, x0x0, x1x1; + int B, err; + + err = MP_MEM; + + /* min # of digits */ + B = a->used; + + /* now divide in two */ + B = B >> 1; + + /* init copy all the temps */ + if (mp_init_size (&x0, B) != MP_OKAY) + goto ERR; + if (mp_init_size (&x1, a->used - B) != MP_OKAY) + goto X0; + + /* init temps */ + if (mp_init_size (&t1, a->used * 2) != MP_OKAY) + goto X1; + if (mp_init_size (&t2, a->used * 2) != MP_OKAY) + goto T1; + if (mp_init_size (&x0x0, B * 2) != MP_OKAY) + goto T2; + if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) + goto X0X0; + + { + register int x; + register mp_digit *dst, *src; + + src = a->dp; + + /* now shift the digits */ + dst = x0.dp; + for (x = 0; x < B; x++) { + *dst++ = *src++; + } + + dst = x1.dp; + for (x = B; x < a->used; x++) { + *dst++ = *src++; + } + } + + x0.used = B; + x1.used = a->used - B; + + mp_clamp (&x0); + + /* now calc the products x0*x0 and x1*x1 */ + if (mp_sqr (&x0, &x0x0) != MP_OKAY) + goto X1X1; /* x0x0 = x0*x0 */ + if (mp_sqr (&x1, &x1x1) != MP_OKAY) + goto X1X1; /* x1x1 = x1*x1 */ + + /* now calc (x1+x0)**2 */ + if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) + goto X1X1; /* t1 = x1 - x0 */ + if (mp_sqr (&t1, &t1) != MP_OKAY) + goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ + + /* add x0y0 */ + if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) + goto X1X1; /* t2 = x0x0 + x1x1 */ + if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) + goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ + + /* shift by B */ + if (mp_lshd (&t1, B) != MP_OKAY) + goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */ + if (mp_lshd (&x1x1, B * 2) != MP_OKAY) + goto X1X1; /* x1x1 = x1x1 << 2*B */ + + if (mp_add (&x0x0, &t1, &t1) != MP_OKAY) + goto X1X1; /* t1 = x0x0 + t1 */ + if (mp_add (&t1, &x1x1, b) != MP_OKAY) + goto X1X1; /* t1 = x0x0 + t1 + x1x1 */ + + err = MP_OKAY; + +X1X1:mp_clear (&x1x1); +X0X0:mp_clear (&x0x0); +T2:mp_clear (&t2); +T1:mp_clear (&t1); +X1:mp_clear (&x1); +X0:mp_clear (&x0); +ERR: + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lcm.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lcm.c new file mode 100644 index 0000000000..781eef5659 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lcm.c @@ -0,0 +1,60 @@ +#include <tommath.h> +#ifdef BN_MP_LCM_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes least common multiple as |a*b|/(a, b) */ +int mp_lcm (mp_int * a, mp_int * b, mp_int * c) +{ + int res; + mp_int t1, t2; + + + if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { + return res; + } + + /* t1 = get the GCD of the two inputs */ + if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { + goto LBL_T; + } + + /* divide the smallest by the GCD */ + if (mp_cmp_mag(a, b) == MP_LT) { + /* store quotient in t2 such that t2 * b is the LCM */ + if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { + goto LBL_T; + } + res = mp_mul(b, &t2, c); + } else { + /* store quotient in t2 such that t2 * a is the LCM */ + if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { + goto LBL_T; + } + res = mp_mul(a, &t2, c); + } + + /* fix the sign to positive */ + c->sign = MP_ZPOS; + +LBL_T: + mp_clear_multi (&t1, &t2, NULL); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lshd.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lshd.c new file mode 100644 index 0000000000..f118cf1ae5 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_lshd.c @@ -0,0 +1,67 @@ +#include <tommath.h> +#ifdef BN_MP_LSHD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* shift left a certain amount of digits */ +int mp_lshd (mp_int * a, int b) +{ + int x, res; + + /* if its less than zero return */ + if (b <= 0) { + return MP_OKAY; + } + + /* grow to fit the new digits */ + if (a->alloc < a->used + b) { + if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { + return res; + } + } + + { + register mp_digit *top, *bottom; + + /* increment the used by the shift amount then copy upwards */ + a->used += b; + + /* top */ + top = a->dp + a->used - 1; + + /* base */ + bottom = a->dp + a->used - 1 - b; + + /* much like mp_rshd this is implemented using a sliding window + * except the window goes the otherway around. Copying from + * the bottom to the top. see bn_mp_rshd.c for more info. + */ + for (x = a->used - 1; x >= b; x--) { + *top-- = *bottom--; + } + + /* zero the lower digits */ + top = a->dp; + for (x = 0; x < b; x++) { + *top++ = 0; + } + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod.c new file mode 100644 index 0000000000..f5cf8d09f2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod.c @@ -0,0 +1,48 @@ +#include <tommath.h> +#ifdef BN_MP_MOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* c = a mod b, 0 <= c < b */ +int +mp_mod (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int t; + int res; + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + + if (t.sign != b->sign) { + res = mp_add (b, &t, c); + } else { + res = MP_OKAY; + mp_exch (&t, c); + } + + mp_clear (&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_2d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_2d.c new file mode 100644 index 0000000000..e194a06870 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_2d.c @@ -0,0 +1,55 @@ +#include <tommath.h> +#ifdef BN_MP_MOD_2D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* calc a value mod 2**b */ +int +mp_mod_2d (mp_int * a, int b, mp_int * c) +{ + int x, res; + + /* if b is <= 0 then zero the int */ + if (b <= 0) { + mp_zero (c); + return MP_OKAY; + } + + /* if the modulus is larger than the value than return */ + if (b >= (int) (a->used * DIGIT_BIT)) { + res = mp_copy (a, c); + return res; + } + + /* copy */ + if ((res = mp_copy (a, c)) != MP_OKAY) { + return res; + } + + /* zero digits above the last digit of the modulus */ + for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { + c->dp[x] = 0; + } + /* clear the digit that is not completely outside/inside the modulus */ + c->dp[b / DIGIT_BIT] &= + (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); + mp_clamp (c); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_d.c new file mode 100644 index 0000000000..9ca37e6732 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mod_d.c @@ -0,0 +1,27 @@ +#include <tommath.h> +#ifdef BN_MP_MOD_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +int +mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) +{ + return mp_div_d(a, b, NULL, c); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_calc_normalization.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_calc_normalization.c new file mode 100644 index 0000000000..c669fe0ec3 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_calc_normalization.c @@ -0,0 +1,59 @@ +#include <tommath.h> +#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* + * shifts with subtractions when the result is greater than b. + * + * The method is slightly modified to shift B unconditionally upto just under + * the leading bit of b. This saves alot of multiple precision shifting. + */ +int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) +{ + int x, bits, res; + + /* how many bits of last digit does b use */ + bits = mp_count_bits (b) % DIGIT_BIT; + + if (b->used > 1) { + if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { + return res; + } + } else { + mp_set(a, 1); + bits = 1; + } + + + /* now compute C = A * B mod b */ + for (x = bits - 1; x < (int)DIGIT_BIT; x++) { + if ((res = mp_mul_2 (a, a)) != MP_OKAY) { + return res; + } + if (mp_cmp_mag (a, b) != MP_LT) { + if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { + return res; + } + } + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_reduce.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_reduce.c new file mode 100644 index 0000000000..b76509051b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_reduce.c @@ -0,0 +1,118 @@ +#include <tommath.h> +#ifdef BN_MP_MONTGOMERY_REDUCE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes xR**-1 == x (mod N) via Montgomery Reduction */ +int +mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +{ + int ix, res, digs; + mp_digit mu; + + /* can the fast reduction [comba] method be used? + * + * Note that unlike in mul you're safely allowed *less* + * than the available columns [255 per default] since carries + * are fixed up in the inner loop. + */ + digs = n->used * 2 + 1; + if ((digs < MP_WARRAY) && + n->used < + (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + return fast_mp_montgomery_reduce (x, n, rho); + } + + /* grow the input as required */ + if (x->alloc < digs) { + if ((res = mp_grow (x, digs)) != MP_OKAY) { + return res; + } + } + x->used = digs; + + for (ix = 0; ix < n->used; ix++) { + /* mu = ai * rho mod b + * + * The value of rho must be precalculated via + * montgomery_setup() such that + * it equals -1/n0 mod b this allows the + * following inner loop to reduce the + * input one digit at a time + */ + mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + + /* a = a + mu * m * b**i */ + { + register int iy; + register mp_digit *tmpn, *tmpx, u; + register mp_word r; + + /* alias for digits of the modulus */ + tmpn = n->dp; + + /* alias for the digits of x [the input] */ + tmpx = x->dp + ix; + + /* set the carry to zero */ + u = 0; + + /* Multiply and add in place */ + for (iy = 0; iy < n->used; iy++) { + /* compute product and sum */ + r = ((mp_word)mu) * ((mp_word)*tmpn++) + + ((mp_word) u) + ((mp_word) * tmpx); + + /* get carry */ + u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + + /* fix digit */ + *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); + } + /* At this point the ix'th digit of x should be zero */ + + + /* propagate carries upwards as required*/ + while (u) { + *tmpx += u; + u = *tmpx >> DIGIT_BIT; + *tmpx++ &= MP_MASK; + } + } + } + + /* at this point the n.used'th least + * significant digits of x are all zero + * which means we can shift x to the + * right by n.used digits and the + * residue is unchanged. + */ + + /* x = x/b**n.used */ + mp_clamp(x); + mp_rshd (x, n->used); + + /* if x >= n then x = x - n */ + if (mp_cmp_mag (x, n) != MP_LT) { + return s_mp_sub (x, n, x); + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_setup.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_setup.c new file mode 100644 index 0000000000..f08274936e --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_montgomery_setup.c @@ -0,0 +1,59 @@ +#include <tommath.h> +#ifdef BN_MP_MONTGOMERY_SETUP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* setups the montgomery reduction stuff */ +int +mp_montgomery_setup (mp_int * n, mp_digit * rho) +{ + mp_digit x, b; + +/* fast inversion mod 2**k + * + * Based on the fact that + * + * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) + * => 2*X*A - X*X*A*A = 1 + * => 2*(1) - (1) = 1 + */ + b = n->dp[0]; + + if ((b & 1) == 0) { + return MP_VAL; + } + + x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ + x *= 2 - b * x; /* here x*a==1 mod 2**8 */ +#if !defined(MP_8BIT) + x *= 2 - b * x; /* here x*a==1 mod 2**16 */ +#endif +#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) + x *= 2 - b * x; /* here x*a==1 mod 2**32 */ +#endif +#ifdef MP_64BIT + x *= 2 - b * x; /* here x*a==1 mod 2**64 */ +#endif + + /* rho = -1/m mod b */ + *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul.c new file mode 100644 index 0000000000..8b1117a63b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul.c @@ -0,0 +1,66 @@ +#include <tommath.h> +#ifdef BN_MP_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* high level multiplication (handles sign) */ +int mp_mul (mp_int * a, mp_int * b, mp_int * c) +{ + int res, neg; + neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; + + /* use Toom-Cook? */ +#ifdef BN_MP_TOOM_MUL_C + if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { + res = mp_toom_mul(a, b, c); + } else +#endif +#ifdef BN_MP_KARATSUBA_MUL_C + /* use Karatsuba? */ + if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { + res = mp_karatsuba_mul (a, b, c); + } else +#endif + { + /* can we use the fast multiplier? + * + * The fast multiplier can be used if the output will + * have less than MP_WARRAY digits and the number of + * digits won't affect carry propagation + */ + int digs = a->used + b->used + 1; + +#ifdef BN_FAST_S_MP_MUL_DIGS_C + if ((digs < MP_WARRAY) && + MIN(a->used, b->used) <= + (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + res = fast_s_mp_mul_digs (a, b, c, digs); + } else +#endif +#ifdef BN_S_MP_MUL_DIGS_C + res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ +#else + res = MP_VAL; +#endif + + } + c->sign = (c->used > 0) ? neg : MP_ZPOS; + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2.c new file mode 100644 index 0000000000..02455fc35d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2.c @@ -0,0 +1,82 @@ +#include <tommath.h> +#ifdef BN_MP_MUL_2_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* b = a*2 */ +int mp_mul_2(mp_int * a, mp_int * b) +{ + int x, res, oldused; + + /* grow to accomodate result */ + if (b->alloc < a->used + 1) { + if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { + return res; + } + } + + oldused = b->used; + b->used = a->used; + + { + register mp_digit r, rr, *tmpa, *tmpb; + + /* alias for source */ + tmpa = a->dp; + + /* alias for dest */ + tmpb = b->dp; + + /* carry */ + r = 0; + for (x = 0; x < a->used; x++) { + + /* get what will be the *next* carry bit from the + * MSB of the current digit + */ + rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); + + /* now shift up this digit, add in the carry [from the previous] */ + *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; + + /* copy the carry that would be from the source + * digit into the next iteration + */ + r = rr; + } + + /* new leading digit? */ + if (r != 0) { + /* add a MSB which is always 1 at this point */ + *tmpb = 1; + ++(b->used); + } + + /* now zero any excess digits on the destination + * that we didn't write to + */ + tmpb = b->dp + b->used; + for (x = b->used; x < oldused; x++) { + *tmpb++ = 0; + } + } + b->sign = a->sign; + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2d.c new file mode 100644 index 0000000000..efeff2e751 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_2d.c @@ -0,0 +1,85 @@ +#include <tommath.h> +#ifdef BN_MP_MUL_2D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* shift left by a certain bit count */ +int mp_mul_2d (mp_int * a, int b, mp_int * c) +{ + mp_digit d; + int res; + + /* copy */ + if (a != c) { + if ((res = mp_copy (a, c)) != MP_OKAY) { + return res; + } + } + + if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { + if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { + return res; + } + } + + /* shift by as many digits in the bit count */ + if (b >= (int)DIGIT_BIT) { + if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { + return res; + } + } + + /* shift any bit count < DIGIT_BIT */ + d = (mp_digit) (b % DIGIT_BIT); + if (d != 0) { + register mp_digit *tmpc, shift, mask, r, rr; + register int x; + + /* bitmask for carries */ + mask = (((mp_digit)1) << d) - 1; + + /* shift for msbs */ + shift = DIGIT_BIT - d; + + /* alias */ + tmpc = c->dp; + + /* carry */ + r = 0; + for (x = 0; x < c->used; x++) { + /* get the higher bits of the current word */ + rr = (*tmpc >> shift) & mask; + + /* shift the current word and OR in the carry */ + *tmpc = ((*tmpc << d) | r) & MP_MASK; + ++tmpc; + + /* set the carry to the carry bits of the current word */ + r = rr; + } + + /* set final carry */ + if (r != 0) { + c->dp[(c->used)++] = r; + } + } + mp_clamp (c); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_d.c new file mode 100644 index 0000000000..00f9a899ef --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mul_d.c @@ -0,0 +1,79 @@ +#include <tommath.h> +#ifdef BN_MP_MUL_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* multiply by a digit */ +int +mp_mul_d (mp_int * a, mp_digit b, mp_int * c) +{ + mp_digit u, *tmpa, *tmpc; + mp_word r; + int ix, res, olduse; + + /* make sure c is big enough to hold a*b */ + if (c->alloc < a->used + 1) { + if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { + return res; + } + } + + /* get the original destinations used count */ + olduse = c->used; + + /* set the sign */ + c->sign = a->sign; + + /* alias for a->dp [source] */ + tmpa = a->dp; + + /* alias for c->dp [dest] */ + tmpc = c->dp; + + /* zero carry */ + u = 0; + + /* compute columns */ + for (ix = 0; ix < a->used; ix++) { + /* compute product and carry sum for this term */ + r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); + + /* mask off higher bits to get a single digit */ + *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); + + /* send carry into next iteration */ + u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); + } + + /* store final carry [if any] and increment ix offset */ + *tmpc++ = u; + ++ix; + + /* now zero digits above the top */ + while (ix++ < olduse) { + *tmpc++ = 0; + } + + /* set used count */ + c->used = a->used + 1; + mp_clamp(c); + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mulmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mulmod.c new file mode 100644 index 0000000000..003ceb9b97 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_mulmod.c @@ -0,0 +1,40 @@ +#include <tommath.h> +#ifdef BN_MP_MULMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* d = a * b (mod c) */ +int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +{ + int res; + mp_int t; + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + if ((res = mp_mul (a, b, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + res = mp_mod (&t, c, d); + mp_clear (&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_n_root.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_n_root.c new file mode 100644 index 0000000000..0e7bedca72 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_n_root.c @@ -0,0 +1,132 @@ +#include <tommath.h> +#ifdef BN_MP_N_ROOT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to + * find huge roots [square and cube, etc]. + */ +int mp_n_root (mp_int * a, mp_digit b, mp_int * c) +{ + mp_int t1, t2, t3; + int res, neg; + + /* input must be positive if b is even */ + if ((b & 1) == 0 && a->sign == MP_NEG) { + return MP_VAL; + } + + if ((res = mp_init (&t1)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init (&t3)) != MP_OKAY) { + goto LBL_T2; + } + + /* if a is negative fudge the sign but keep track */ + neg = a->sign; + a->sign = MP_ZPOS; + + /* t2 = 2 */ + mp_set (&t2, 2); + + do { + /* t1 = t2 */ + if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* numerator */ + /* t2 = t1**b */ + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1**b - a */ + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + goto LBL_T3; + } + + if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { + goto LBL_T3; + } + } while (mp_cmp (&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + for (;;) { + if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + if (mp_cmp (&t2, a) == MP_GT) { + if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { + goto LBL_T3; + } + } else { + break; + } + } + + /* reset the sign of a first */ + a->sign = neg; + + /* set the result */ + mp_exch (&t1, c); + + /* set the sign of the result */ + c->sign = neg; + + res = MP_OKAY; + +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_neg.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_neg.c new file mode 100644 index 0000000000..a7d035ab6d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_neg.c @@ -0,0 +1,40 @@ +#include <tommath.h> +#ifdef BN_MP_NEG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* b = -a */ +int mp_neg (mp_int * a, mp_int * b) +{ + int res; + if (a != b) { + if ((res = mp_copy (a, b)) != MP_OKAY) { + return res; + } + } + + if (mp_iszero(b) != MP_YES) { + b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; + } else { + b->sign = MP_ZPOS; + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_or.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_or.c new file mode 100644 index 0000000000..bff4995489 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_or.c @@ -0,0 +1,50 @@ +#include <tommath.h> +#ifdef BN_MP_OR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* OR two ints together */ +int mp_or (mp_int * a, mp_int * b, mp_int * c) +{ + int res, ix, px; + mp_int t, *x; + + if (a->used > b->used) { + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + px = b->used; + x = b; + } else { + if ((res = mp_init_copy (&t, b)) != MP_OKAY) { + return res; + } + px = a->used; + x = a; + } + + for (ix = 0; ix < px; ix++) { + t.dp[ix] |= x->dp[ix]; + } + mp_clamp (&t); + mp_exch (c, &t); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_fermat.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_fermat.c new file mode 100644 index 0000000000..c23d77f6de --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_fermat.c @@ -0,0 +1,62 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_FERMAT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* performs one Fermat test. + * + * If "a" were prime then b**a == b (mod a) since the order of + * the multiplicative sub-group would be phi(a) = a-1. That means + * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). + * + * Sets result to 1 if the congruence holds, or zero otherwise. + */ +int mp_prime_fermat (mp_int * a, mp_int * b, int *result) +{ + mp_int t; + int err; + + /* default to composite */ + *result = MP_NO; + + /* ensure b > 1 */ + if (mp_cmp_d(b, 1) != MP_GT) { + return MP_VAL; + } + + /* init t */ + if ((err = mp_init (&t)) != MP_OKAY) { + return err; + } + + /* compute t = b**a mod a */ + if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { + goto LBL_T; + } + + /* is it equal to b? */ + if (mp_cmp (&t, b) == MP_EQ) { + *result = MP_YES; + } + + err = MP_OKAY; +LBL_T:mp_clear (&t); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_divisible.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_divisible.c new file mode 100644 index 0000000000..8e7871c2c6 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_divisible.c @@ -0,0 +1,50 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_IS_DIVISIBLE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines if an integers is divisible by one + * of the first PRIME_SIZE primes or not + * + * sets result to 0 if not, 1 if yes + */ +int mp_prime_is_divisible (mp_int * a, int *result) +{ + int err, ix; + mp_digit res; + + /* default to not */ + *result = MP_NO; + + for (ix = 0; ix < PRIME_SIZE; ix++) { + /* what is a mod LBL_prime_tab[ix] */ + if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { + return err; + } + + /* is the residue zero? */ + if (res == 0) { + *result = MP_YES; + return MP_OKAY; + } + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_prime.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_prime.c new file mode 100644 index 0000000000..c316d62109 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_is_prime.c @@ -0,0 +1,83 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_IS_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* performs a variable number of rounds of Miller-Rabin + * + * Probability of error after t rounds is no more than + + * + * Sets result to 1 if probably prime, 0 otherwise + */ +int mp_prime_is_prime (mp_int * a, int t, int *result) +{ + mp_int b; + int ix, err, res; + + /* default to no */ + *result = MP_NO; + + /* valid value of t? */ + if (t <= 0 || t > PRIME_SIZE) { + return MP_VAL; + } + + /* is the input equal to one of the primes in the table? */ + for (ix = 0; ix < PRIME_SIZE; ix++) { + if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { + *result = 1; + return MP_OKAY; + } + } + + /* first perform trial division */ + if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { + return err; + } + + /* return if it was trivially divisible */ + if (res == MP_YES) { + return MP_OKAY; + } + + /* now perform the miller-rabin rounds */ + if ((err = mp_init (&b)) != MP_OKAY) { + return err; + } + + for (ix = 0; ix < t; ix++) { + /* set the prime */ + mp_set (&b, ltm_prime_tab[ix]); + + if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { + goto LBL_B; + } + + if (res == MP_NO) { + goto LBL_B; + } + } + + /* passed the test */ + *result = MP_YES; +LBL_B:mp_clear (&b); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_miller_rabin.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_miller_rabin.c new file mode 100644 index 0000000000..ddf03582ac --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_miller_rabin.c @@ -0,0 +1,103 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_MILLER_RABIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Miller-Rabin test of "a" to the base of "b" as described in + * HAC pp. 139 Algorithm 4.24 + * + * Sets result to 0 if definitely composite or 1 if probably prime. + * Randomly the chance of error is no more than 1/4 and often + * very much lower. + */ +int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) +{ + mp_int n1, y, r; + int s, j, err; + + /* default */ + *result = MP_NO; + + /* ensure b > 1 */ + if (mp_cmp_d(b, 1) != MP_GT) { + return MP_VAL; + } + + /* get n1 = a - 1 */ + if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { + return err; + } + if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { + goto LBL_N1; + } + + /* set 2**s * r = n1 */ + if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { + goto LBL_N1; + } + + /* count the number of least significant bits + * which are zero + */ + s = mp_cnt_lsb(&r); + + /* now divide n - 1 by 2**s */ + if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { + goto LBL_R; + } + + /* compute y = b**r mod a */ + if ((err = mp_init (&y)) != MP_OKAY) { + goto LBL_R; + } + if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { + goto LBL_Y; + } + + /* if y != 1 and y != n1 do */ + if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + j = 1; + /* while j <= s-1 and y != n1 */ + while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { + goto LBL_Y; + } + + /* if y == 1 then composite */ + if (mp_cmp_d (&y, 1) == MP_EQ) { + goto LBL_Y; + } + + ++j; + } + + /* if y != n1 then composite */ + if (mp_cmp (&y, &n1) != MP_EQ) { + goto LBL_Y; + } + } + + /* probably prime now */ + *result = MP_YES; +LBL_Y:mp_clear (&y); +LBL_R:mp_clear (&r); +LBL_N1:mp_clear (&n1); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_next_prime.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_next_prime.c new file mode 100644 index 0000000000..daf2ec7c64 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_next_prime.c @@ -0,0 +1,170 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_NEXT_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* finds the next prime after the number "a" using "t" trials + * of Miller-Rabin. + * + * bbs_style = 1 means the prime must be congruent to 3 mod 4 + */ +int mp_prime_next_prime(mp_int *a, int t, int bbs_style) +{ + int err, res, x, y; + mp_digit res_tab[PRIME_SIZE], step, kstep; + mp_int b; + + /* ensure t is valid */ + if (t <= 0 || t > PRIME_SIZE) { + return MP_VAL; + } + + /* force positive */ + a->sign = MP_ZPOS; + + /* simple algo if a is less than the largest prime in the table */ + if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { + /* find which prime it is bigger than */ + for (x = PRIME_SIZE - 2; x >= 0; x--) { + if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { + if (bbs_style == 1) { + /* ok we found a prime smaller or + * equal [so the next is larger] + * + * however, the prime must be + * congruent to 3 mod 4 + */ + if ((ltm_prime_tab[x + 1] & 3) != 3) { + /* scan upwards for a prime congruent to 3 mod 4 */ + for (y = x + 1; y < PRIME_SIZE; y++) { + if ((ltm_prime_tab[y] & 3) == 3) { + mp_set(a, ltm_prime_tab[y]); + return MP_OKAY; + } + } + } + } else { + mp_set(a, ltm_prime_tab[x + 1]); + return MP_OKAY; + } + } + } + /* at this point a maybe 1 */ + if (mp_cmp_d(a, 1) == MP_EQ) { + mp_set(a, 2); + return MP_OKAY; + } + /* fall through to the sieve */ + } + + /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ + if (bbs_style == 1) { + kstep = 4; + } else { + kstep = 2; + } + + /* at this point we will use a combination of a sieve and Miller-Rabin */ + + if (bbs_style == 1) { + /* if a mod 4 != 3 subtract the correct value to make it so */ + if ((a->dp[0] & 3) != 3) { + if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; + } + } else { + if (mp_iseven(a) == 1) { + /* force odd */ + if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { + return err; + } + } + } + + /* generate the restable */ + for (x = 1; x < PRIME_SIZE; x++) { + if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { + return err; + } + } + + /* init temp used for Miller-Rabin Testing */ + if ((err = mp_init(&b)) != MP_OKAY) { + return err; + } + + for (;;) { + /* skip to the next non-trivially divisible candidate */ + step = 0; + do { + /* y == 1 if any residue was zero [e.g. cannot be prime] */ + y = 0; + + /* increase step to next candidate */ + step += kstep; + + /* compute the new residue without using division */ + for (x = 1; x < PRIME_SIZE; x++) { + /* add the step to each residue */ + res_tab[x] += kstep; + + /* subtract the modulus [instead of using division] */ + if (res_tab[x] >= ltm_prime_tab[x]) { + res_tab[x] -= ltm_prime_tab[x]; + } + + /* set flag if zero */ + if (res_tab[x] == 0) { + y = 1; + } + } + } while (y == 1 && step < ((((mp_digit)1)<<DIGIT_BIT) - kstep)); + + /* add the step */ + if ((err = mp_add_d(a, step, a)) != MP_OKAY) { + goto LBL_ERR; + } + + /* if didn't pass sieve and step == MAX then skip test */ + if (y == 1 && step >= ((((mp_digit)1)<<DIGIT_BIT) - kstep)) { + continue; + } + + /* is this prime? */ + for (x = 0; x < t; x++) { + mp_set(&b, ltm_prime_tab[t]); + if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + goto LBL_ERR; + } + if (res == MP_NO) { + break; + } + } + + if (res == MP_YES) { + break; + } + } + + err = MP_OKAY; +LBL_ERR: + mp_clear(&b); + return err; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_rabin_miller_trials.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_rabin_miller_trials.c new file mode 100644 index 0000000000..248c2fd2e6 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -0,0 +1,52 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + + +static const struct { + int k, t; +} sizes[] = { +{ 128, 28 }, +{ 256, 16 }, +{ 384, 10 }, +{ 512, 7 }, +{ 640, 6 }, +{ 768, 5 }, +{ 896, 4 }, +{ 1024, 4 } +}; + +/* returns # of RM trials required for a given bit size */ +int mp_prime_rabin_miller_trials(int size) +{ + int x; + + for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { + if (sizes[x].k == size) { + return sizes[x].t; + } else if (sizes[x].k > size) { + return (x == 0) ? sizes[0].t : sizes[x - 1].t; + } + } + return sizes[x-1].t + 1; +} + + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_random_ex.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_random_ex.c new file mode 100644 index 0000000000..07aae4b072 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_prime_random_ex.c @@ -0,0 +1,125 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_RANDOM_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* makes a truly random prime of a given size (bits), + * + * Flags are as follows: + * + * LTM_PRIME_BBS - make prime congruent to 3 mod 4 + * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) + * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero + * LTM_PRIME_2MSB_ON - make the 2nd highest bit one + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + */ + +/* This is possibly the mother of all prime generation functions, muahahahahaha! */ +int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) +{ + unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; + int res, err, bsize, maskOR_msb_offset; + + /* sanity check the input */ + if (size <= 1 || t <= 0) { + return MP_VAL; + } + + /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ + if (flags & LTM_PRIME_SAFE) { + flags |= LTM_PRIME_BBS; + } + + /* calc the byte size */ + bsize = (size>>3) + ((size&7)?1:0); + + /* we need a buffer of bsize bytes */ + tmp = OPT_CAST(unsigned char) XMALLOC(bsize); + if (tmp == NULL) { + return MP_MEM; + } + + /* calc the maskAND value for the MSbyte*/ + maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); + + /* calc the maskOR_msb */ + maskOR_msb = 0; + maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; + if (flags & LTM_PRIME_2MSB_ON) { + maskOR_msb |= 0x80 >> ((9 - size) & 7); + } + + /* get the maskOR_lsb */ + maskOR_lsb = 1; + if (flags & LTM_PRIME_BBS) { + maskOR_lsb |= 3; + } + + do { + /* read the bytes */ + if (cb(tmp, bsize, dat) != bsize) { + err = MP_VAL; + goto error; + } + + /* work over the MSbyte */ + tmp[0] &= maskAND; + tmp[0] |= 1 << ((size - 1) & 7); + + /* mix in the maskORs */ + tmp[maskOR_msb_offset] |= maskOR_msb; + tmp[bsize-1] |= maskOR_lsb; + + /* read it in */ + if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } + + /* is it prime? */ + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } + if (res == MP_NO) { + continue; + } + + if (flags & LTM_PRIME_SAFE) { + /* see if (a-1)/2 is prime */ + if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } + if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } + + /* is it prime? */ + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } + } + } while (res == MP_NO); + + if (flags & LTM_PRIME_SAFE) { + /* restore a to the original value */ + if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } + if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } + } + + err = MP_OKAY; +error: + XFREE(tmp); + return err; +} + + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_size.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_size.c new file mode 100644 index 0000000000..1b61e3a1be --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_size.c @@ -0,0 +1,78 @@ +#include <tommath.h> +#ifdef BN_MP_RADIX_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* returns size of ASCII reprensentation */ +int mp_radix_size (mp_int * a, int radix, int *size) +{ + int res, digs; + mp_int t; + mp_digit d; + + *size = 0; + + /* special case for binary */ + if (radix == 2) { + *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; + return MP_OKAY; + } + + /* make sure the radix is in range */ + if (radix < 2 || radix > 64) { + return MP_VAL; + } + + if (mp_iszero(a) == MP_YES) { + *size = 2; + return MP_OKAY; + } + + /* digs is the digit count */ + digs = 0; + + /* if it's negative add one for the sign */ + if (a->sign == MP_NEG) { + ++digs; + } + + /* init a copy of the input */ + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + /* force temp to positive */ + t.sign = MP_ZPOS; + + /* fetch out all of the digits */ + while (mp_iszero (&t) == MP_NO) { + if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { + mp_clear (&t); + return res; + } + ++digs; + } + mp_clear (&t); + + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_smap.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_smap.c new file mode 100644 index 0000000000..7d72feb84e --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_radix_smap.c @@ -0,0 +1,24 @@ +#include <tommath.h> +#ifdef BN_MP_RADIX_SMAP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* chars used in radix conversions */ +const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rand.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rand.c new file mode 100644 index 0000000000..af66a67eea --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rand.c @@ -0,0 +1,55 @@ +#include <tommath.h> +#ifdef BN_MP_RAND_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* makes a pseudo-random int of a given size */ +int +mp_rand (mp_int * a, int digits) +{ + int res; + mp_digit d; + + mp_zero (a); + if (digits <= 0) { + return MP_OKAY; + } + + /* first place a random non-zero digit */ + do { + d = ((mp_digit) abs (rand ())) & MP_MASK; + } while (d == 0); + + if ((res = mp_add_d (a, d, a)) != MP_OKAY) { + return res; + } + + while (--digits > 0) { + if ((res = mp_lshd (a, 1)) != MP_OKAY) { + return res; + } + + if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { + return res; + } + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_radix.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_radix.c new file mode 100644 index 0000000000..91c46c22f7 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_radix.c @@ -0,0 +1,85 @@ +#include <tommath.h> +#ifdef BN_MP_READ_RADIX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* read a string [ASCII] in a given radix */ +int mp_read_radix (mp_int * a, const char *str, int radix) +{ + int y, res, neg; + char ch; + + /* zero the digit bignum */ + mp_zero(a); + + /* make sure the radix is ok */ + if (radix < 2 || radix > 64) { + return MP_VAL; + } + + /* if the leading digit is a + * minus set the sign to negative. + */ + if (*str == '-') { + ++str; + neg = MP_NEG; + } else { + neg = MP_ZPOS; + } + + /* set the integer to the default of zero */ + mp_zero (a); + + /* process each digit of the string */ + while (*str) { + /* if the radix < 36 the conversion is case insensitive + * this allows numbers like 1AB and 1ab to represent the same value + * [e.g. in hex] + */ + ch = (char) ((radix < 36) ? toupper (*str) : *str); + for (y = 0; y < 64; y++) { + if (ch == mp_s_rmap[y]) { + break; + } + } + + /* if the char was found in the map + * and is less than the given radix add it + * to the number, otherwise exit the loop. + */ + if (y < radix) { + if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { + return res; + } + if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { + return res; + } + } else { + break; + } + ++str; + } + + /* set the sign only if a != 0 */ + if (mp_iszero(a) != 1) { + a->sign = neg; + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_signed_bin.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_signed_bin.c new file mode 100644 index 0000000000..8da651ce30 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_signed_bin.c @@ -0,0 +1,41 @@ +#include <tommath.h> +#ifdef BN_MP_READ_SIGNED_BIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* read signed bin, big endian, first byte is 0==positive or 1==negative */ +int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) +{ + int res; + + /* read magnitude */ + if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { + return res; + } + + /* first byte is 0 for positive, non-zero for negative */ + if (b[0] == 0) { + a->sign = MP_ZPOS; + } else { + a->sign = MP_NEG; + } + + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_unsigned_bin.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_unsigned_bin.c new file mode 100644 index 0000000000..1ebba13a02 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_read_unsigned_bin.c @@ -0,0 +1,55 @@ +#include <tommath.h> +#ifdef BN_MP_READ_UNSIGNED_BIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reads a unsigned char array, assumes the msb is stored first [big endian] */ +int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) +{ + int res; + + /* make sure there are at least two digits */ + if (a->alloc < 2) { + if ((res = mp_grow(a, 2)) != MP_OKAY) { + return res; + } + } + + /* zero the int */ + mp_zero (a); + + /* read the bytes in */ + while (c-- > 0) { + if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { + return res; + } + +#ifndef MP_8BIT + a->dp[0] |= *b++; + a->used += 1; +#else + a->dp[0] = (*b & MP_MASK); + a->dp[1] |= ((*b++ >> 7U) & 1); + a->used += 2; +#endif + } + mp_clamp (a); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce.c new file mode 100644 index 0000000000..21d0730905 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce.c @@ -0,0 +1,100 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reduces x mod m, assumes 0 < x < m**2, mu is + * precomputed via mp_reduce_setup. + * From HAC pp.604 Algorithm 14.42 + */ +int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) +{ + mp_int q; + int res, um = m->used; + + /* q = x */ + if ((res = mp_init_copy (&q, x)) != MP_OKAY) { + return res; + } + + /* q1 = x / b**(k-1) */ + mp_rshd (&q, um - 1); + + /* according to HAC this optimization is ok */ + if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { + goto CLEANUP; + } + } else { +#ifdef BN_S_MP_MUL_HIGH_DIGS_C + if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { + goto CLEANUP; + } +#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) + if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { + goto CLEANUP; + } +#else + { + res = MP_VAL; + goto CLEANUP; + } +#endif + } + + /* q3 = q2 / b**(k+1) */ + mp_rshd (&q, um + 1); + + /* x = x mod b**(k+1), quick (no division) */ + if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { + goto CLEANUP; + } + + /* q = q * m mod b**(k+1), quick (no division) */ + if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { + goto CLEANUP; + } + + /* x = x - q */ + if ((res = mp_sub (x, &q, x)) != MP_OKAY) { + goto CLEANUP; + } + + /* If x < 0, add b**(k+1) to it */ + if (mp_cmp_d (x, 0) == MP_LT) { + mp_set (&q, 1); + if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) + goto CLEANUP; + if ((res = mp_add (x, &q, x)) != MP_OKAY) + goto CLEANUP; + } + + /* Back off if it's too big */ + while (mp_cmp (x, m) != MP_LT) { + if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { + goto CLEANUP; + } + } + +CLEANUP: + mp_clear (&q); + + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k.c new file mode 100644 index 0000000000..d9620c221c --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k.c @@ -0,0 +1,61 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reduces a modulo n where n is of the form 2**p - d */ +int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) +{ + mp_int q; + int p, res; + + if ((res = mp_init(&q)) != MP_OKAY) { + return res; + } + + p = mp_count_bits(n); +top: + /* q = a/2**p, a = a mod 2**p */ + if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + goto ERR; + } + + if (d != 1) { + /* q = q * d */ + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + goto ERR; + } + } + + /* a = a + q */ + if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + goto ERR; + } + + if (mp_cmp_mag(a, n) != MP_LT) { + s_mp_sub(a, n, a); + goto top; + } + +ERR: + mp_clear(&q); + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_l.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_l.c new file mode 100644 index 0000000000..f06103d6a6 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_l.c @@ -0,0 +1,62 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reduces a modulo n where n is of the form 2**p - d + This differs from reduce_2k since "d" can be larger + than a single digit. +*/ +int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) +{ + mp_int q; + int p, res; + + if ((res = mp_init(&q)) != MP_OKAY) { + return res; + } + + p = mp_count_bits(n); +top: + /* q = a/2**p, a = a mod 2**p */ + if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + goto ERR; + } + + /* q = q * d */ + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + goto ERR; + } + + /* a = a + q */ + if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + goto ERR; + } + + if (mp_cmp_mag(a, n) != MP_LT) { + s_mp_sub(a, n, a); + goto top; + } + +ERR: + mp_clear(&q); + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup.c new file mode 100644 index 0000000000..a80e7a22f2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup.c @@ -0,0 +1,47 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_SETUP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines the setup value */ +int mp_reduce_2k_setup(mp_int *a, mp_digit *d) +{ + int res, p; + mp_int tmp; + + if ((res = mp_init(&tmp)) != MP_OKAY) { + return res; + } + + p = mp_count_bits(a); + if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + + if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + + *d = tmp.dp[0]; + mp_clear(&tmp); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup_l.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup_l.c new file mode 100644 index 0000000000..7cf002e888 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_2k_setup_l.c @@ -0,0 +1,44 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_SETUP_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines the setup value */ +int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) +{ + int res; + mp_int tmp; + + if ((res = mp_init(&tmp)) != MP_OKAY) { + return res; + } + + if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { + goto ERR; + } + + if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { + goto ERR; + } + +ERR: + mp_clear(&tmp); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k.c new file mode 100644 index 0000000000..7308be73e2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k.c @@ -0,0 +1,52 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_IS_2K_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines if mp_reduce_2k can be used */ +int mp_reduce_is_2k(mp_int *a) +{ + int ix, iy, iw; + mp_digit iz; + + if (a->used == 0) { + return MP_NO; + } else if (a->used == 1) { + return MP_YES; + } else if (a->used > 1) { + iy = mp_count_bits(a); + iz = 1; + iw = 1; + + /* Test every bit from the second digit up, must be 1 */ + for (ix = DIGIT_BIT; ix < iy; ix++) { + if ((a->dp[iw] & iz) == 0) { + return MP_NO; + } + iz <<= 1; + if (iz > (mp_digit)MP_MASK) { + ++iw; + iz = 1; + } + } + } + return MP_YES; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k_l.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k_l.c new file mode 100644 index 0000000000..14a4d21846 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_is_2k_l.c @@ -0,0 +1,44 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_IS_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* determines if reduce_2k_l can be used */ +int mp_reduce_is_2k_l(mp_int *a) +{ + int ix, iy; + + if (a->used == 0) { + return MP_NO; + } else if (a->used == 1) { + return MP_YES; + } else if (a->used > 1) { + /* if more than half of the digits are -1 we're sold */ + for (iy = ix = 0; ix < a->used; ix++) { + if (a->dp[ix] == MP_MASK) { + ++iy; + } + } + return (iy >= (a->used/2)) ? MP_YES : MP_NO; + + } + return MP_NO; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_setup.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_setup.c new file mode 100644 index 0000000000..370f20bb17 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_reduce_setup.c @@ -0,0 +1,34 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_SETUP_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* pre-calculate the value required for Barrett reduction + * For a given modulus "b" it calulates the value required in "a" + */ +int mp_reduce_setup (mp_int * a, mp_int * b) +{ + int res; + + if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { + return res; + } + return mp_div (a, b, a, NULL); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rshd.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rshd.c new file mode 100644 index 0000000000..2a693c5a5b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_rshd.c @@ -0,0 +1,72 @@ +#include <tommath.h> +#ifdef BN_MP_RSHD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* shift right a certain amount of digits */ +void mp_rshd (mp_int * a, int b) +{ + int x; + + /* if b <= 0 then ignore it */ + if (b <= 0) { + return; + } + + /* if b > used then simply zero it and return */ + if (a->used <= b) { + mp_zero (a); + return; + } + + { + register mp_digit *bottom, *top; + + /* shift the digits down */ + + /* bottom */ + bottom = a->dp; + + /* top [offset into digits] */ + top = a->dp + b; + + /* this is implemented as a sliding window where + * the window is b-digits long and digits from + * the top of the window are copied to the bottom + * + * e.g. + + b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> + /\ | ----> + \-------------------/ ----> + */ + for (x = 0; x < (a->used - b); x++) { + *bottom++ = *top++; + } + + /* zero the top digits */ + for (; x < a->used; x++) { + *bottom++ = 0; + } + } + + /* remove excess digits */ + a->used -= b; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set.c new file mode 100644 index 0000000000..174adcbc6d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set.c @@ -0,0 +1,29 @@ +#include <tommath.h> +#ifdef BN_MP_SET_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* set to a digit */ +void mp_set (mp_int * a, mp_digit b) +{ + mp_zero (a); + a->dp[0] = b & MP_MASK; + a->used = (a->dp[0] != 0) ? 1 : 0; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set_int.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set_int.c new file mode 100644 index 0000000000..cf10ea1a44 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_set_int.c @@ -0,0 +1,48 @@ +#include <tommath.h> +#ifdef BN_MP_SET_INT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* set a 32-bit const */ +int mp_set_int (mp_int * a, unsigned long b) +{ + int x, res; + + mp_zero (a); + + /* set four bits at a time */ + for (x = 0; x < 8; x++) { + /* shift the number up four bits */ + if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { + return res; + } + + /* OR in the top four bits of the source */ + a->dp[0] |= (b >> 28) & 15; + + /* shift the source up to the next four bits */ + b <<= 4; + + /* ensure that digits are not clamped off */ + a->used += 1; + } + mp_clamp (a); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_shrink.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_shrink.c new file mode 100644 index 0000000000..4b8c5ef11a --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_shrink.c @@ -0,0 +1,35 @@ +#include <tommath.h> +#ifdef BN_MP_SHRINK_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* shrink a bignum */ +int mp_shrink (mp_int * a) +{ + mp_digit *tmp; + if (a->alloc != a->used && a->used > 0) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { + return MP_MEM; + } + a->dp = tmp; + a->alloc = a->used; + } + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_signed_bin_size.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_signed_bin_size.c new file mode 100644 index 0000000000..6739d19e2b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_signed_bin_size.c @@ -0,0 +1,27 @@ +#include <tommath.h> +#ifdef BN_MP_SIGNED_BIN_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* get the size for an signed equivalent */ +int mp_signed_bin_size (mp_int * a) +{ + return 1 + mp_unsigned_bin_size (a); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqr.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqr.c new file mode 100644 index 0000000000..868ccbbaef --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqr.c @@ -0,0 +1,58 @@ +#include <tommath.h> +#ifdef BN_MP_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* computes b = a*a */ +int +mp_sqr (mp_int * a, mp_int * b) +{ + int res; + +#ifdef BN_MP_TOOM_SQR_C + /* use Toom-Cook? */ + if (a->used >= TOOM_SQR_CUTOFF) { + res = mp_toom_sqr(a, b); + /* Karatsuba? */ + } else +#endif +#ifdef BN_MP_KARATSUBA_SQR_C +if (a->used >= KARATSUBA_SQR_CUTOFF) { + res = mp_karatsuba_sqr (a, b); + } else +#endif + { +#ifdef BN_FAST_S_MP_SQR_C + /* can we use the fast comba multiplier? */ + if ((a->used * 2 + 1) < MP_WARRAY && + a->used < + (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { + res = fast_s_mp_sqr (a, b); + } else +#endif +#ifdef BN_S_MP_SQR_C + res = s_mp_sqr (a, b); +#else + res = MP_VAL; +#endif + } + b->sign = MP_ZPOS; + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrmod.c new file mode 100644 index 0000000000..161cbbb30d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrmod.c @@ -0,0 +1,41 @@ +#include <tommath.h> +#ifdef BN_MP_SQRMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* c = a * a (mod b) */ +int +mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) +{ + int res; + mp_int t; + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + if ((res = mp_sqr (a, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + res = mp_mod (&t, b, c); + mp_clear (&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrt.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrt.c new file mode 100644 index 0000000000..8fd057ceed --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sqrt.c @@ -0,0 +1,81 @@ +#include <tommath.h> +#ifdef BN_MP_SQRT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* this function is less generic than mp_n_root, simpler and faster */ +int mp_sqrt(mp_int *arg, mp_int *ret) +{ + int res; + mp_int t1,t2; + + /* must be positive */ + if (arg->sign == MP_NEG) { + return MP_VAL; + } + + /* easy out */ + if (mp_iszero(arg) == MP_YES) { + mp_zero(ret); + return MP_OKAY; + } + + if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { + return res; + } + + if ((res = mp_init(&t2)) != MP_OKAY) { + goto E2; + } + + /* First approx. (not very bad for large arg) */ + mp_rshd (&t1,t1.used/2); + + /* t1 > 0 */ + if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { + goto E1; + } + if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { + goto E1; + } + if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { + goto E1; + } + /* And now t1 > sqrt(arg) */ + do { + if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { + goto E1; + } + if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { + goto E1; + } + if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { + goto E1; + } + /* t1 >= sqrt(arg) >= t2 at this point */ + } while (mp_cmp_mag(&t1,&t2) == MP_GT); + + mp_exch(&t1,ret); + +E1: mp_clear(&t2); +E2: mp_clear(&t1); + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub.c new file mode 100644 index 0000000000..f5015cce45 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub.c @@ -0,0 +1,59 @@ +#include <tommath.h> +#ifdef BN_MP_SUB_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* high level subtraction (handles signs) */ +int +mp_sub (mp_int * a, mp_int * b, mp_int * c) +{ + int sa, sb, res; + + sa = a->sign; + sb = b->sign; + + if (sa != sb) { + /* subtract a negative from a positive, OR */ + /* subtract a positive from a negative. */ + /* In either case, ADD their magnitudes, */ + /* and use the sign of the first number. */ + c->sign = sa; + res = s_mp_add (a, b, c); + } else { + /* subtract a positive from a positive, OR */ + /* subtract a negative from a negative. */ + /* First, take the difference between their */ + /* magnitudes, then... */ + if (mp_cmp_mag (a, b) != MP_LT) { + /* Copy the sign from the first */ + c->sign = sa; + /* The first has a larger or equal magnitude */ + res = s_mp_sub (a, b, c); + } else { + /* The result has the *opposite* sign from */ + /* the first number. */ + c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; + /* The second has a larger magnitude */ + res = s_mp_sub (b, a, c); + } + } + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub_d.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub_d.c new file mode 100644 index 0000000000..06cdca636d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_sub_d.c @@ -0,0 +1,93 @@ +#include <tommath.h> +#ifdef BN_MP_SUB_D_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* single digit subtraction */ +int +mp_sub_d (mp_int * a, mp_digit b, mp_int * c) +{ + mp_digit *tmpa, *tmpc, mu; + int res, ix, oldused; + + /* grow c as required */ + if (c->alloc < a->used + 1) { + if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { + return res; + } + } + + /* if a is negative just do an unsigned + * addition [with fudged signs] + */ + if (a->sign == MP_NEG) { + a->sign = MP_ZPOS; + res = mp_add_d(a, b, c); + a->sign = c->sign = MP_NEG; + + /* clamp */ + mp_clamp(c); + + return res; + } + + /* setup regs */ + oldused = c->used; + tmpa = a->dp; + tmpc = c->dp; + + /* if a <= b simply fix the single digit */ + if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { + if (a->used == 1) { + *tmpc++ = b - *tmpa; + } else { + *tmpc++ = b; + } + ix = 1; + + /* negative/1digit */ + c->sign = MP_NEG; + c->used = 1; + } else { + /* positive/size */ + c->sign = MP_ZPOS; + c->used = a->used; + + /* subtract first digit */ + *tmpc = *tmpa++ - b; + mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + *tmpc++ &= MP_MASK; + + /* handle rest of the digits */ + for (ix = 1; ix < a->used; ix++) { + *tmpc = *tmpa++ - mu; + mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + *tmpc++ &= MP_MASK; + } + } + + /* zero excess digits */ + while (ix++ < oldused) { + *tmpc++ = 0; + } + mp_clamp(c); + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_submod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_submod.c new file mode 100644 index 0000000000..869e23cded --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_submod.c @@ -0,0 +1,42 @@ +#include <tommath.h> +#ifdef BN_MP_SUBMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* d = a - b (mod c) */ +int +mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +{ + int res; + mp_int t; + + + if ((res = mp_init (&t)) != MP_OKAY) { + return res; + } + + if ((res = mp_sub (a, b, &t)) != MP_OKAY) { + mp_clear (&t); + return res; + } + res = mp_mod (&t, c, d); + mp_clear (&t); + return res; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin.c new file mode 100644 index 0000000000..9df83ca526 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin.c @@ -0,0 +1,33 @@ +#include <tommath.h> +#ifdef BN_MP_TO_SIGNED_BIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* store in signed [big endian] format */ +int mp_to_signed_bin (mp_int * a, unsigned char *b) +{ + int res; + + if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { + return res; + } + b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin_n.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin_n.c new file mode 100644 index 0000000000..677f827d4f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_signed_bin_n.c @@ -0,0 +1,31 @@ +#include <tommath.h> +#ifdef BN_MP_TO_SIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* store in signed [big endian] format */ +int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_signed_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_signed_bin_size(a); + return mp_to_signed_bin(a, b); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin.c new file mode 100644 index 0000000000..c137f104ac --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin.c @@ -0,0 +1,48 @@ +#include <tommath.h> +#ifdef BN_MP_TO_UNSIGNED_BIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* store in unsigned [big endian] format */ +int mp_to_unsigned_bin (mp_int * a, unsigned char *b) +{ + int x, res; + mp_int t; + + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + x = 0; + while (mp_iszero (&t) == 0) { +#ifndef MP_8BIT + b[x++] = (unsigned char) (t.dp[0] & 255); +#else + b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); +#endif + if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { + mp_clear (&t); + return res; + } + } + bn_reverse (b, x); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin_n.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin_n.c new file mode 100644 index 0000000000..0dc00c623d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_to_unsigned_bin_n.c @@ -0,0 +1,31 @@ +#include <tommath.h> +#ifdef BN_MP_TO_UNSIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* store in unsigned [big endian] format */ +int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_unsigned_bin_size(a); + return mp_to_unsigned_bin(a, b); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_mul.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_mul.c new file mode 100644 index 0000000000..ad5d9e9b64 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_mul.c @@ -0,0 +1,284 @@ +#include <tommath.h> +#ifdef BN_MP_TOOM_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* multiplication using the Toom-Cook 3-way algorithm + * + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs + * (we're talking 1000s of digits here...). +*/ +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) +{ + mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; + int res, B; + + /* init temps */ + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { + return res; + } + + /* B */ + B = MIN(a->used, b->used) / 3; + + /* a = a2 * B**2 + a1 * B + a0 */ + if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_copy(a, &a1)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&a1, B); + mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + + if ((res = mp_copy(a, &a2)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&a2, B*2); + + /* b = b2 * B**2 + b1 * B + b0 */ + if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_copy(b, &b1)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&b1, B); + mp_mod_2d(&b1, DIGIT_BIT * B, &b1); + + if ((res = mp_copy(b, &b2)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&b2, B*2); + + /* w0 = a0*b0 */ + if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { + goto ERR; + } + + /* w4 = a2 * b2 */ + if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { + goto ERR; + } + + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ + if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { + goto ERR; + } + + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ + if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { + goto ERR; + } + + + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ + if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { + goto ERR; + } + + /* now solve the matrix + + 0 0 0 0 1 + 1 2 4 8 16 + 1 1 1 1 1 + 16 8 4 2 1 + 1 0 0 0 0 + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication + */ + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { + goto ERR; + } + +ERR: + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL); + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_sqr.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_sqr.c new file mode 100644 index 0000000000..48880d0350 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toom_sqr.c @@ -0,0 +1,226 @@ +#include <tommath.h> +#ifdef BN_MP_TOOM_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* squaring using Toom-Cook 3-way algorithm */ +int +mp_toom_sqr(mp_int *a, mp_int *b) +{ + mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; + int res, B; + + /* init temps */ + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { + return res; + } + + /* B */ + B = a->used / 3; + + /* a = a2 * B**2 + a1 * B + a0 */ + if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_copy(a, &a1)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&a1, B); + mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + + if ((res = mp_copy(a, &a2)) != MP_OKAY) { + goto ERR; + } + mp_rshd(&a2, B*2); + + /* w0 = a0*a0 */ + if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { + goto ERR; + } + + /* w4 = a2 * a2 */ + if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { + goto ERR; + } + + /* w1 = (a2 + 2(a1 + 2a0))**2 */ + if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + + /* w3 = (a0 + 2(a1 + 2a2))**2 */ + if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + + + /* w2 = (a2 + a1 + a0)**2 */ + if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { + goto ERR; + } + + /* now solve the matrix + + 0 0 0 0 1 + 1 2 4 8 16 + 1 1 1 1 1 + 16 8 4 2 1 + 1 0 0 0 0 + + using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. + */ + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { + goto ERR; + } + +ERR: + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); + return res; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix.c new file mode 100644 index 0000000000..0adc28d2fd --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix.c @@ -0,0 +1,75 @@ +#include <tommath.h> +#ifdef BN_MP_TORADIX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* stores a bignum as a ASCII string in a given radix (2..64) */ +int mp_toradix (mp_int * a, char *str, int radix) +{ + int res, digs; + mp_int t; + mp_digit d; + char *_s = str; + + /* check range of the radix */ + if (radix < 2 || radix > 64) { + return MP_VAL; + } + + /* quick out if its zero */ + if (mp_iszero(a) == 1) { + *str++ = '0'; + *str = '\0'; + return MP_OKAY; + } + + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + /* if it is negative output a - */ + if (t.sign == MP_NEG) { + ++_s; + *str++ = '-'; + t.sign = MP_ZPOS; + } + + digs = 0; + while (mp_iszero (&t) == 0) { + if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { + mp_clear (&t); + return res; + } + *str++ = mp_s_rmap[d]; + ++digs; + } + + /* reverse the digits of the string. In this case _s points + * to the first digit [exluding the sign] of the number] + */ + bn_reverse ((unsigned char *)_s, digs); + + /* append a NULL so the string is properly terminated */ + *str = '\0'; + + mp_clear (&t); + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix_n.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix_n.c new file mode 100644 index 0000000000..796ed55c65 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_toradix_n.c @@ -0,0 +1,88 @@ +#include <tommath.h> +#ifdef BN_MP_TORADIX_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* stores a bignum as a ASCII string in a given radix (2..64) + * + * Stores upto maxlen-1 chars and always a NULL byte + */ +int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) +{ + int res, digs; + mp_int t; + mp_digit d; + char *_s = str; + + /* check range of the maxlen, radix */ + if (maxlen < 2 || radix < 2 || radix > 64) { + return MP_VAL; + } + + /* quick out if its zero */ + if (mp_iszero(a) == MP_YES) { + *str++ = '0'; + *str = '\0'; + return MP_OKAY; + } + + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + /* if it is negative output a - */ + if (t.sign == MP_NEG) { + /* we have to reverse our digits later... but not the - sign!! */ + ++_s; + + /* store the flag and mark the number as positive */ + *str++ = '-'; + t.sign = MP_ZPOS; + + /* subtract a char */ + --maxlen; + } + + digs = 0; + while (mp_iszero (&t) == 0) { + if (--maxlen < 1) { + /* no more room */ + break; + } + if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { + mp_clear (&t); + return res; + } + *str++ = mp_s_rmap[d]; + ++digs; + } + + /* reverse the digits of the string. In this case _s points + * to the first digit [exluding the sign] of the number + */ + bn_reverse ((unsigned char *)_s, digs); + + /* append a NULL so the string is properly terminated */ + *str = '\0'; + + mp_clear (&t); + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_unsigned_bin_size.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_unsigned_bin_size.c new file mode 100644 index 0000000000..6dc3bd5fc1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_unsigned_bin_size.c @@ -0,0 +1,28 @@ +#include <tommath.h> +#ifdef BN_MP_UNSIGNED_BIN_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* get the size for an unsigned equivalent */ +int mp_unsigned_bin_size (mp_int * a) +{ + int size = mp_count_bits (a); + return (size / 8 + ((size & 7) != 0 ? 1 : 0)); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_xor.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_xor.c new file mode 100644 index 0000000000..59ff2e1832 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_xor.c @@ -0,0 +1,51 @@ +#include <tommath.h> +#ifdef BN_MP_XOR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* XOR two ints together */ +int +mp_xor (mp_int * a, mp_int * b, mp_int * c) +{ + int res, ix, px; + mp_int t, *x; + + if (a->used > b->used) { + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + px = b->used; + x = b; + } else { + if ((res = mp_init_copy (&t, b)) != MP_OKAY) { + return res; + } + px = a->used; + x = a; + } + + for (ix = 0; ix < px; ix++) { + t.dp[ix] ^= x->dp[ix]; + } + mp_clamp (&t); + mp_exch (c, &t); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero.c new file mode 100644 index 0000000000..b0977d4431 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero.c @@ -0,0 +1,36 @@ +#include <tommath.h> +#ifdef BN_MP_ZERO_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* set to zero */ +void mp_zero (mp_int * a) +{ + int n; + mp_digit *tmp; + + a->sign = MP_ZPOS; + a->used = 0; + + tmp = a->dp; + for (n = 0; n < a->alloc; n++) { + *tmp++ = 0; + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero_multi.c b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero_multi.c new file mode 100644 index 0000000000..339a75fbf8 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_mp_zero_multi.c @@ -0,0 +1,35 @@ +#include <tommath.h> +#ifdef BN_MP_ZERO_MULTI_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ +#include <stdarg.h> + +/* set to zero */ +void mp_zero_multi (mp_int * mp, ...) +{ + mp_int* next_mp = mp; + va_list args; + va_start(args, mp); + while (next_mp != NULL) { + mp_zero(next_mp); + next_mp = va_arg(args, mp_int*); + } + va_end(args); +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_prime_tab.c b/source4/heimdal/lib/hcrypto/libtommath/bn_prime_tab.c new file mode 100644 index 0000000000..bd252477ec --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_prime_tab.c @@ -0,0 +1,61 @@ +#include <tommath.h> +#ifdef BN_PRIME_TAB_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ +const mp_digit ltm_prime_tab[] = { + 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, + 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, + 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, + 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, +#ifndef MP_8BIT + 0x0083, + 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, + 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, + 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, + 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, + + 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, + 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, + 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, + 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, + 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, + 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, + 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, + 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, + + 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, + 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, + 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, + 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, + 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, + 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, + 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, + 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, + + 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, + 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, + 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, + 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, + 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, + 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, + 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, + 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 +#endif +}; +#endif + +/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_reverse.c b/source4/heimdal/lib/hcrypto/libtommath/bn_reverse.c new file mode 100644 index 0000000000..ddfa827a09 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_reverse.c @@ -0,0 +1,39 @@ +#include <tommath.h> +#ifdef BN_REVERSE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* reverse an array, used for radix code */ +void +bn_reverse (unsigned char *s, int len) +{ + int ix, iy; + unsigned char t; + + ix = 0; + iy = len - 1; + while (ix < iy) { + t = s[ix]; + s[ix] = s[iy]; + s[iy] = t; + ++ix; + --iy; + } +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_add.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_add.c new file mode 100644 index 0000000000..f034ae62aa --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_add.c @@ -0,0 +1,109 @@ +#include <tommath.h> +#ifdef BN_S_MP_ADD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* low level addition, based on HAC pp.594, Algorithm 14.7 */ +int +s_mp_add (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int *x; + int olduse, res, min, max; + + /* find sizes, we let |a| <= |b| which means we have to sort + * them. "x" will point to the input with the most digits + */ + if (a->used > b->used) { + min = b->used; + max = a->used; + x = a; + } else { + min = a->used; + max = b->used; + x = b; + } + + /* init result */ + if (c->alloc < max + 1) { + if ((res = mp_grow (c, max + 1)) != MP_OKAY) { + return res; + } + } + + /* get old used digit count and set new one */ + olduse = c->used; + c->used = max + 1; + + { + register mp_digit u, *tmpa, *tmpb, *tmpc; + register int i; + + /* alias for digit pointers */ + + /* first input */ + tmpa = a->dp; + + /* second input */ + tmpb = b->dp; + + /* destination */ + tmpc = c->dp; + + /* zero the carry */ + u = 0; + for (i = 0; i < min; i++) { + /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ + *tmpc = *tmpa++ + *tmpb++ + u; + + /* U = carry bit of T[i] */ + u = *tmpc >> ((mp_digit)DIGIT_BIT); + + /* take away carry bit from T[i] */ + *tmpc++ &= MP_MASK; + } + + /* now copy higher words if any, that is in A+B + * if A or B has more digits add those in + */ + if (min != max) { + for (; i < max; i++) { + /* T[i] = X[i] + U */ + *tmpc = x->dp[i] + u; + + /* U = carry bit of T[i] */ + u = *tmpc >> ((mp_digit)DIGIT_BIT); + + /* take away carry bit from T[i] */ + *tmpc++ &= MP_MASK; + } + } + + /* add carry */ + *tmpc++ = u; + + /* clear digits above oldused */ + for (i = c->used; i < olduse; i++) { + *tmpc++ = 0; + } + } + + mp_clamp (c); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_exptmod.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_exptmod.c new file mode 100644 index 0000000000..097d894702 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_exptmod.c @@ -0,0 +1,252 @@ +#include <tommath.h> +#ifdef BN_S_MP_EXPTMOD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ +#ifdef MP_LOW_MEM + #define TAB_SIZE 32 +#else + #define TAB_SIZE 256 +#endif + +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) +{ + mp_int M[TAB_SIZE], res, mu; + mp_digit buf; + int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + int (*redux)(mp_int*,mp_int*,mp_int*); + + /* find window size */ + x = mp_count_bits (X); + if (x <= 7) { + winsize = 2; + } else if (x <= 36) { + winsize = 3; + } else if (x <= 140) { + winsize = 4; + } else if (x <= 450) { + winsize = 5; + } else if (x <= 1303) { + winsize = 6; + } else if (x <= 3529) { + winsize = 7; + } else { + winsize = 8; + } + +#ifdef MP_LOW_MEM + if (winsize > 5) { + winsize = 5; + } +#endif + + /* init M array */ + /* init first cell */ + if ((err = mp_init(&M[1])) != MP_OKAY) { + return err; + } + + /* now init the second half of the array */ + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + if ((err = mp_init(&M[x])) != MP_OKAY) { + for (y = 1<<(winsize-1); y < x; y++) { + mp_clear (&M[y]); + } + mp_clear(&M[1]); + return err; + } + } + + /* create mu, used for Barrett reduction */ + if ((err = mp_init (&mu)) != MP_OKAY) { + goto LBL_M; + } + + if (redmode == 0) { + if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce; + } else { + if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce_2k_l; + } + + /* create M table + * + * The M table contains powers of the base, + * e.g. M[x] = G**x mod P + * + * The first half of the table is not + * computed though accept for M[0] and M[1] + */ + if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { + goto LBL_MU; + } + + /* compute the value at M[1<<(winsize-1)] by squaring + * M[1] (winsize-1) times + */ + if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { + goto LBL_MU; + } + + for (x = 0; x < (winsize - 1); x++) { + /* square it */ + if ((err = mp_sqr (&M[1 << (winsize - 1)], + &M[1 << (winsize - 1)])) != MP_OKAY) { + goto LBL_MU; + } + + /* reduce modulo P */ + if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { + goto LBL_MU; + } + } + + /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) + * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) + */ + for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { + if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { + goto LBL_MU; + } + if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { + goto LBL_MU; + } + } + + /* setup result */ + if ((err = mp_init (&res)) != MP_OKAY) { + goto LBL_MU; + } + mp_set (&res, 1); + + /* set initial mode and bit cnt */ + mode = 0; + bitcnt = 1; + buf = 0; + digidx = X->used - 1; + bitcpy = 0; + bitbuf = 0; + + for (;;) { + /* grab next digit as required */ + if (--bitcnt == 0) { + /* if digidx == -1 we are out of digits */ + if (digidx == -1) { + break; + } + /* read next digit and reset the bitcnt */ + buf = X->dp[digidx--]; + bitcnt = (int) DIGIT_BIT; + } + + /* grab the next msb from the exponent */ + y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; + buf <<= (mp_digit)1; + + /* if the bit is zero and mode == 0 then we ignore it + * These represent the leading zero bits before the first 1 bit + * in the exponent. Technically this opt is not required but it + * does lower the # of trivial squaring/reductions used + */ + if (mode == 0 && y == 0) { + continue; + } + + /* if the bit is zero and mode == 1 then we square */ + if (mode == 1 && y == 0) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; + } + continue; + } + + /* else we add it to the window */ + bitbuf |= (y << (winsize - ++bitcpy)); + mode = 2; + + if (bitcpy == winsize) { + /* ok window is filled so square as required and multiply */ + /* square first */ + for (x = 0; x < winsize; x++) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; + } + } + + /* then multiply */ + if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; + } + + /* empty window and reset */ + bitcpy = 0; + bitbuf = 0; + mode = 1; + } + } + + /* if bits remain then square/multiply */ + if (mode == 2 && bitcpy > 0) { + /* square then multiply if the bit is set */ + for (x = 0; x < bitcpy; x++) { + if ((err = mp_sqr (&res, &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; + } + + bitbuf <<= 1; + if ((bitbuf & (1 << winsize)) != 0) { + /* then multiply */ + if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { + goto LBL_RES; + } + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; + } + } + } + } + + mp_exch (&res, Y); + err = MP_OKAY; +LBL_RES:mp_clear (&res); +LBL_MU:mp_clear (&mu); +LBL_M: + mp_clear(&M[1]); + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + mp_clear (&M[x]); + } + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_digs.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_digs.c new file mode 100644 index 0000000000..f5bbf39ce2 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_digs.c @@ -0,0 +1,90 @@ +#include <tommath.h> +#ifdef BN_S_MP_MUL_DIGS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* multiplies |a| * |b| and only computes upto digs digits of result + * HAC pp. 595, Algorithm 14.12 Modified so you can control how + * many digits of output are created. + */ +int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +{ + mp_int t; + int res, pa, pb, ix, iy; + mp_digit u; + mp_word r; + mp_digit tmpx, *tmpt, *tmpy; + + /* can we use the fast multiplier? */ + if (((digs) < MP_WARRAY) && + MIN (a->used, b->used) < + (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + return fast_s_mp_mul_digs (a, b, c, digs); + } + + if ((res = mp_init_size (&t, digs)) != MP_OKAY) { + return res; + } + t.used = digs; + + /* compute the digits of the product directly */ + pa = a->used; + for (ix = 0; ix < pa; ix++) { + /* set the carry to zero */ + u = 0; + + /* limit ourselves to making digs digits of output */ + pb = MIN (b->used, digs - ix); + + /* setup some aliases */ + /* copy of the digit from a used within the nested loop */ + tmpx = a->dp[ix]; + + /* an alias for the destination shifted ix places */ + tmpt = t.dp + ix; + + /* an alias for the digits of b */ + tmpy = b->dp; + + /* compute the columns of the output and propagate the carry */ + for (iy = 0; iy < pb; iy++) { + /* compute the column as a mp_word */ + r = ((mp_word)*tmpt) + + ((mp_word)tmpx) * ((mp_word)*tmpy++) + + ((mp_word) u); + + /* the new column is the lower part of the result */ + *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); + + /* get the carry word from the result */ + u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); + } + /* set carry if it is placed below digs */ + if (ix + iy < digs) { + *tmpt = u; + } + } + + mp_clamp (&t); + mp_exch (&t, c); + + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_high_digs.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_high_digs.c new file mode 100644 index 0000000000..2b718f23cc --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_mul_high_digs.c @@ -0,0 +1,81 @@ +#include <tommath.h> +#ifdef BN_S_MP_MUL_HIGH_DIGS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* multiplies |a| * |b| and does not compute the lower digs digits + * [meant to get the higher part of the product] + */ +int +s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +{ + mp_int t; + int res, pa, pb, ix, iy; + mp_digit u; + mp_word r; + mp_digit tmpx, *tmpt, *tmpy; + + /* can we use the fast multiplier? */ +#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C + if (((a->used + b->used + 1) < MP_WARRAY) + && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + return fast_s_mp_mul_high_digs (a, b, c, digs); + } +#endif + + if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { + return res; + } + t.used = a->used + b->used + 1; + + pa = a->used; + pb = b->used; + for (ix = 0; ix < pa; ix++) { + /* clear the carry */ + u = 0; + + /* left hand side of A[ix] * B[iy] */ + tmpx = a->dp[ix]; + + /* alias to the address of where the digits will be stored */ + tmpt = &(t.dp[digs]); + + /* alias for where to read the right hand side from */ + tmpy = b->dp + (digs - ix); + + for (iy = digs - ix; iy < pb; iy++) { + /* calculate the double precision result */ + r = ((mp_word)*tmpt) + + ((mp_word)tmpx) * ((mp_word)*tmpy++) + + ((mp_word) u); + + /* get the lower part */ + *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); + + /* carry the carry */ + u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); + } + *tmpt = u; + } + mp_clamp (&t); + mp_exch (&t, c); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sqr.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sqr.c new file mode 100644 index 0000000000..d2531c2925 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sqr.c @@ -0,0 +1,84 @@ +#include <tommath.h> +#ifdef BN_S_MP_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ +int s_mp_sqr (mp_int * a, mp_int * b) +{ + mp_int t; + int res, ix, iy, pa; + mp_word r; + mp_digit u, tmpx, *tmpt; + + pa = a->used; + if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { + return res; + } + + /* default used is maximum possible size */ + t.used = 2*pa + 1; + + for (ix = 0; ix < pa; ix++) { + /* first calculate the digit at 2*ix */ + /* calculate double precision result */ + r = ((mp_word) t.dp[2*ix]) + + ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); + + /* store lower part in result */ + t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); + + /* get the carry */ + u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + + /* left hand side of A[ix] * A[iy] */ + tmpx = a->dp[ix]; + + /* alias for where to store the results */ + tmpt = t.dp + (2*ix + 1); + + for (iy = ix + 1; iy < pa; iy++) { + /* first calculate the product */ + r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); + + /* now calculate the double precision result, note we use + * addition instead of *2 since it's easier to optimize + */ + r = ((mp_word) *tmpt) + r + r + ((mp_word) u); + + /* store lower part */ + *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); + + /* get carry */ + u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + } + /* propagate upwards */ + while (u != ((mp_digit) 0)) { + r = ((mp_word) *tmpt) + ((mp_word) u); + *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); + u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + } + } + + mp_clamp (&t); + mp_exch (&t, b); + mp_clear (&t); + return MP_OKAY; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sub.c b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sub.c new file mode 100644 index 0000000000..6a60c3932c --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bn_s_mp_sub.c @@ -0,0 +1,89 @@ +#include <tommath.h> +#ifdef BN_S_MP_SUB_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ +int +s_mp_sub (mp_int * a, mp_int * b, mp_int * c) +{ + int olduse, res, min, max; + + /* find sizes */ + min = b->used; + max = a->used; + + /* init result */ + if (c->alloc < max) { + if ((res = mp_grow (c, max)) != MP_OKAY) { + return res; + } + } + olduse = c->used; + c->used = max; + + { + register mp_digit u, *tmpa, *tmpb, *tmpc; + register int i; + + /* alias for digit pointers */ + tmpa = a->dp; + tmpb = b->dp; + tmpc = c->dp; + + /* set carry to zero */ + u = 0; + for (i = 0; i < min; i++) { + /* T[i] = A[i] - B[i] - U */ + *tmpc = *tmpa++ - *tmpb++ - u; + + /* U = carry bit of T[i] + * Note this saves performing an AND operation since + * if a carry does occur it will propagate all the way to the + * MSB. As a result a single shift is enough to get the carry + */ + u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + + /* Clear carry from T[i] */ + *tmpc++ &= MP_MASK; + } + + /* now copy higher words if any, e.g. if A has more digits than B */ + for (; i < max; i++) { + /* T[i] = A[i] - U */ + *tmpc = *tmpa++ - u; + + /* U = carry bit of T[i] */ + u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + + /* Clear carry from T[i] */ + *tmpc++ &= MP_MASK; + } + + /* clear digits above used (since we may not have grown result above) */ + for (i = c->used; i < olduse; i++) { + *tmpc++ = 0; + } + } + + mp_clamp (c); + return MP_OKAY; +} + +#endif + +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/bncore.c b/source4/heimdal/lib/hcrypto/libtommath/bncore.c new file mode 100644 index 0000000000..8fb1824c6f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/bncore.c @@ -0,0 +1,36 @@ +#include <tommath.h> +#ifdef BNCORE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + */ + +/* Known optimal configurations + + CPU /Compiler /MUL CUTOFF/SQR CUTOFF +------------------------------------------------------------- + Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) + AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 + +*/ + +int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ + KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ + + TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ + TOOM_SQR_CUTOFF = 400; +#endif + +/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/booker.pl b/source4/heimdal/lib/hcrypto/libtommath/booker.pl new file mode 100644 index 0000000000..49f1889d1b --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/booker.pl @@ -0,0 +1,265 @@ +#!/bin/perl +# +#Used to prepare the book "tommath.src" for LaTeX by pre-processing it into a .tex file +# +#Essentially you write the "tommath.src" as normal LaTex except where you want code snippets you put +# +#EXAM,file +# +#This preprocessor will then open "file" and insert it as a verbatim copy. +# +#Tom St Denis + +#get graphics type +if (shift =~ /PDF/) { + $graph = ""; +} else { + $graph = ".ps"; +} + +open(IN,"<tommath.src") or die "Can't open source file"; +open(OUT,">tommath.tex") or die "Can't open destination file"; + +print "Scanning for sections\n"; +$chapter = $section = $subsection = 0; +$x = 0; +while (<IN>) { + print "."; + if (!(++$x % 80)) { print "\n"; } + #update the headings + if (~($_ =~ /\*/)) { + if ($_ =~ /\\chapter{.+}/) { + ++$chapter; + $section = $subsection = 0; + } elsif ($_ =~ /\\section{.+}/) { + ++$section; + $subsection = 0; + } elsif ($_ =~ /\\subsection{.+}/) { + ++$subsection; + } + } + + if ($_ =~ m/MARK/) { + @m = split(",",$_); + chomp(@m[1]); + $index1{@m[1]} = $chapter; + $index2{@m[1]} = $section; + $index3{@m[1]} = $subsection; + } +} +close(IN); + +open(IN,"<tommath.src") or die "Can't open source file"; +$readline = $wroteline = 0; +$srcline = 0; + +while (<IN>) { + ++$readline; + ++$srcline; + + if ($_ =~ m/MARK/) { + } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { + if ($_ =~ m/EXAM/) { + $skipheader = 1; + } else { + $skipheader = 0; + } + + # EXAM,file + chomp($_); + @m = split(",",$_); + open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; + + print "$srcline:Inserting $m[1]:"; + + $line = 0; + $tmp = $m[1]; + $tmp =~ s/_/"\\_"/ge; + print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; + $wroteline += 5; + + if ($skipheader == 1) { + # scan till next end of comment, e.g. skip license + while (<SRC>) { + $text[$line++] = $_; + last if ($_ =~ /math\.libtomcrypt\.com/); + } + <SRC>; + } + + $inline = 0; + while (<SRC>) { + next if ($_ =~ /\$Source/); + next if ($_ =~ /\$Revision/); + next if ($_ =~ /\$Date/); + $text[$line++] = $_; + ++$inline; + chomp($_); + $_ =~ s/\t/" "/ge; + $_ =~ s/{/"^{"/ge; + $_ =~ s/}/"^}"/ge; + $_ =~ s/\\/'\symbol{92}'/ge; + $_ =~ s/\^/"\\"/ge; + + printf OUT ("%03d ", $line); + for ($x = 0; $x < length($_); $x++) { + print OUT chr(vec($_, $x, 8)); + if ($x == 75) { + print OUT "\n "; + ++$wroteline; + } + } + print OUT "\n"; + ++$wroteline; + } + $totlines = $line; + print OUT "\\end{alltt}\n\\end{small}\n"; + close(SRC); + print "$inline lines\n"; + $wroteline += 2; + } elsif ($_ =~ m/@\d+,.+@/) { + # line contains [number,text] + # e.g. @14,for (ix = 0)@ + $txt = $_; + while ($txt =~ m/@\d+,.+@/) { + @m = split("@",$txt); # splits into text, one, two + @parms = split(",",$m[1]); # splits one,two into two elements + + # now search from $parms[0] down for $parms[1] + $found1 = 0; + $found2 = 0; + for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { + if ($text[$i] =~ m/\Q$parms[1]\E/) { + $foundline1 = $i + 1; + $found1 = 1; + } + } + + # now search backwards + for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { + if ($text[$i] =~ m/\Q$parms[1]\E/) { + $foundline2 = $i + 1; + $found2 = 1; + } + } + + # now use the closest match or the first if tied + if ($found1 == 1 && $found2 == 0) { + $found = 1; + $foundline = $foundline1; + } elsif ($found1 == 0 && $found2 == 1) { + $found = 1; + $foundline = $foundline2; + } elsif ($found1 == 1 && $found2 == 1) { + $found = 1; + if (($foundline1 - $parms[0]) <= ($parms[0] - $foundline2)) { + $foundline = $foundline1; + } else { + $foundline = $foundline2; + } + } else { + $found = 0; + } + + # if found replace + if ($found == 1) { + $delta = $parms[0] - $foundline; + print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; + $_ =~ s/@\Q$m[1]\E@/$foundline/; + } else { + print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; + } + + # remake the rest of the line + $cnt = @m; + $txt = ""; + for ($i = 2; $i < $cnt; $i++) { + $txt = $txt . $m[$i] . "@"; + } + } + print OUT $_; + ++$wroteline; + } elsif ($_ =~ /~.+~/) { + # line contains a ~text~ pair used to refer to indexing :-) + $txt = $_; + while ($txt =~ /~.+~/) { + @m = split("~", $txt); + + # word is the second position + $word = @m[1]; + $a = $index1{$word}; + $b = $index2{$word}; + $c = $index3{$word}; + + # if chapter (a) is zero it wasn't found + if ($a == 0) { + print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; + } else { + # format the tag as x, x.y or x.y.z depending on the values + $str = $a; + $str = $str . ".$b" if ($b != 0); + $str = $str . ".$c" if ($c != 0); + + if ($b == 0 && $c == 0) { + # its a chapter + if ($a <= 10) { + if ($a == 1) { + $str = "chapter one"; + } elsif ($a == 2) { + $str = "chapter two"; + } elsif ($a == 3) { + $str = "chapter three"; + } elsif ($a == 4) { + $str = "chapter four"; + } elsif ($a == 5) { + $str = "chapter five"; + } elsif ($a == 6) { + $str = "chapter six"; + } elsif ($a == 7) { + $str = "chapter seven"; + } elsif ($a == 8) { + $str = "chapter eight"; + } elsif ($a == 9) { + $str = "chapter nine"; + } elsif ($a == 10) { + $str = "chapter ten"; + } + } else { + $str = "chapter " . $str; + } + } else { + $str = "section " . $str if ($b != 0 && $c == 0); + $str = "sub-section " . $str if ($b != 0 && $c != 0); + } + + #substitute + $_ =~ s/~\Q$word\E~/$str/; + + print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; + } + + # remake rest of the line + $cnt = @m; + $txt = ""; + for ($i = 2; $i < $cnt; $i++) { + $txt = $txt . $m[$i] . "~"; + } + } + print OUT $_; + ++$wroteline; + } elsif ($_ =~ m/FIGU/) { + # FIGU,file,caption + chomp($_); + @m = split(",", $_); + print OUT "\\begin{center}\n\\begin{figure}[here]\n\\includegraphics{pics/$m[1]$graph}\n"; + print OUT "\\caption{$m[2]}\n\\label{pic:$m[1]}\n\\end{figure}\n\\end{center}\n"; + $wroteline += 4; + } else { + print OUT $_; + ++$wroteline; + } +} +print "Read $readline lines, wrote $wroteline lines\n"; + +close (OUT); +close (IN); diff --git a/source4/heimdal/lib/hcrypto/libtommath/callgraph.txt b/source4/heimdal/lib/hcrypto/libtommath/callgraph.txt new file mode 100644 index 0000000000..2efcf245ba --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/callgraph.txt @@ -0,0 +1,11913 @@ +BN_PRIME_TAB_C + + +BN_MP_SQRT_C ++--->BN_MP_N_ROOT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_EXPT_D_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_D_C + + +BN_MP_EXCH_C + + +BN_MP_IS_SQUARE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_GET_INT_C ++--->BN_MP_SQRT_C +| +--->BN_MP_N_ROOT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_EXPT_D_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_NEG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_EXPTMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_INVMOD_C +| +--->BN_FAST_MP_INVMOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INVMOD_SLOW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DR_IS_MODULUS_C ++--->BN_MP_REDUCE_IS_2K_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_EXPTMOD_FAST_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MONTGOMERY_SETUP_C +| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_DR_SETUP_C +| +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_REDUCE_2K_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MULMOD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_ZERO_C + + +BN_MP_GROW_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_PRIME_FERMAT_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_SUBMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_MOD_2D_C ++--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_TORADIX_N_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_C ++--->BN_MP_CMP_MAG_C + + +BNCORE_C + + +BN_MP_TORADIX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_ADD_D_C ++--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_DIV_3_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_FAST_S_MP_MUL_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_SQRMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_INVMOD_C ++--->BN_FAST_MP_INVMOD_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INVMOD_SLOW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_AND_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MUL_D_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_FAST_MP_INVMOD_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_FWRITE_C ++--->BN_MP_RADIX_SIZE_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_TORADIX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_N_ROOT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_EXPT_D_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_RADIX_SIZE_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_SIGNED_BIN_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_KARATSUBA_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_ADD_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_COPY_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_CLAMP_C + + +BN_MP_TOOM_SQR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_MOD_C ++--->BN_MP_INIT_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_MP_INIT_C + + +BN_MP_TOOM_MUL_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_PRIME_IS_DIVISIBLE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_COPY_C ++--->BN_MP_GROW_C + + +BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_READ_UNSIGNED_BIN_C ++--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_EXPTMOD_FAST_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MONTGOMERY_SETUP_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_DR_SETUP_C ++--->BN_MP_DR_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_REDUCE_2K_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C + + +BN_MP_TO_UNSIGNED_BIN_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_SET_INT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_MOD_D_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQR_C ++--->BN_MP_TOOM_SQR_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_SQR_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_MULMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_DIV_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_RSHD_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_S_MP_ADD_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_FAST_S_MP_SQR_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_S_MP_MUL_DIGS_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_XOR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_RADIX_SMAP_C + + +BN_MP_DR_IS_MODULUS_C + + +BN_MP_MONTGOMERY_CALC_NORMALIZATION_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_SUB_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_INIT_MULTI_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C + + +BN_S_MP_MUL_HIGH_DIGS_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_NEXT_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_SIGNED_BIN_SIZE_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C + + +BN_MP_INVMOD_SLOW_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_LCM_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_DIV_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_REVERSE_C + + +BN_MP_PRIME_IS_DIVISIBLE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_SET_C ++--->BN_MP_ZERO_C + + +BN_MP_GCD_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_RADIX_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_FAST_S_MP_MUL_HIGH_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_FAST_MP_MONTGOMERY_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_DIV_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_2K_SETUP_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_INIT_SET_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C + + +BN_MP_REDUCE_2K_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_ERROR_C + + +BN_MP_EXPT_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C + + +BN_S_MP_EXPTMOD_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_EXCH_C + + +BN_MP_ABS_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_INIT_SET_INT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_SUB_D_C ++--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_TO_SIGNED_BIN_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_DIV_2_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_IS_2K_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_INIT_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_INIT_SIZE_C ++--->BN_MP_INIT_C + + +BN_MP_DIV_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_INIT_COPY_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C ++--->BN_MP_RSHD_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_REDUCE_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_MUL_2_C ++--->BN_MP_GROW_C + + +BN_MP_UNSIGNED_BIN_SIZE_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_ADDMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_ADD_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_IS_2K_L_C + + +BN_MP_RAND_C ++--->BN_MP_ZERO_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C + + +BN_MP_CNT_LSB_C + + +BN_MP_2EXPT_C ++--->BN_MP_ZERO_C ++--->BN_MP_GROW_C + + +BN_MP_RSHD_C ++--->BN_MP_ZERO_C + + +BN_MP_SHRINK_C + + +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_MUL_HIGH_DIGS_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_MUL_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C + + +BN_MP_GET_INT_C + + +BN_MP_JACOBI_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_MULTI_C ++--->BN_MP_CLEAR_C + + +BN_MP_MUL_C ++--->BN_MP_TOOM_MUL_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_EXTEUCLID_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_DR_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_FREAD_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C + + +BN_MP_REDUCE_SETUP_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_SETUP_C + + +BN_MP_KARATSUBA_MUL_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLEAR_C + + +BN_MP_LSHD_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C + + +BN_MP_PRIME_MILLER_RABIN_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_DR_SETUP_C + + +BN_MP_CMP_MAG_C + + diff --git a/source4/heimdal/lib/hcrypto/libtommath/libtommath.dsp b/source4/heimdal/lib/hcrypto/libtommath/libtommath.dsp new file mode 100644 index 0000000000..6b8908f07c --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/libtommath.dsp @@ -0,0 +1,572 @@ +# Microsoft Developer Studio Project File - Name="libtommath" - Package Owner=<4> +# Microsoft Developer Studio Generated Build File, Format Version 6.00 +# ** DO NOT EDIT ** + +# TARGTYPE "Win32 (x86) Static Library" 0x0104 + +CFG=libtommath - Win32 Debug +!MESSAGE This is not a valid makefile. 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+SOURCE=.\bn_mp_submod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_unsigned_bin_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_xor.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_zero.c +# End Source File +# Begin Source File + +SOURCE=.\bn_prime_tab.c +# End Source File +# Begin Source File + +SOURCE=.\bn_reverse.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_add.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_exptmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_high_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sub.c +# End Source File +# Begin Source File + +SOURCE=.\bncore.c +# End Source File +# Begin Source File + +SOURCE=.\tommath.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_class.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_superclass.h +# End Source File +# End Target +# End Project diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/logtab.h b/source4/heimdal/lib/hcrypto/libtommath/mtest/logtab.h new file mode 100644 index 0000000000..bbefaefc04 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/logtab.h @@ -0,0 +1,24 @@ +const float s_logv_2[] = { + 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ + 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ + 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ + 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ + 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ + 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ + 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ + 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ + 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ + 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ + 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ + 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ + 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ + 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ + 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ + 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ + 0.166666667 +}; + + +/* $Source: /cvs/libtom/libtommath/mtest/logtab.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-config.h b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-config.h new file mode 100644 index 0000000000..6049c25ba7 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-config.h @@ -0,0 +1,90 @@ +/* Default configuration for MPI library */ +/* $Id: mpi-config.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */ + +#ifndef MPI_CONFIG_H_ +#define MPI_CONFIG_H_ + +/* + For boolean options, + 0 = no + 1 = yes + + Other options are documented individually. + + */ + +#ifndef MP_IOFUNC +#define MP_IOFUNC 0 /* include mp_print() ? */ +#endif + +#ifndef MP_MODARITH +#define MP_MODARITH 1 /* include modular arithmetic ? */ +#endif + +#ifndef MP_NUMTH +#define MP_NUMTH 1 /* include number theoretic functions? */ +#endif + +#ifndef MP_LOGTAB +#define MP_LOGTAB 1 /* use table of logs instead of log()? */ +#endif + +#ifndef MP_MEMSET +#define MP_MEMSET 1 /* use memset() to zero buffers? */ +#endif + +#ifndef MP_MEMCPY +#define MP_MEMCPY 1 /* use memcpy() to copy buffers? */ +#endif + +#ifndef MP_CRYPTO +#define MP_CRYPTO 1 /* erase memory on free? */ +#endif + +#ifndef MP_ARGCHK +/* + 0 = no parameter checks + 1 = runtime checks, continue execution and return an error to caller + 2 = assertions; dump core on parameter errors + */ +#define MP_ARGCHK 2 /* how to check input arguments */ +#endif + +#ifndef MP_DEBUG +#define MP_DEBUG 0 /* print diagnostic output? */ +#endif + +#ifndef MP_DEFPREC +#define MP_DEFPREC 64 /* default precision, in digits */ +#endif + +#ifndef MP_MACRO +#define MP_MACRO 1 /* use macros for frequent calls? */ +#endif + +#ifndef MP_SQUARE +#define MP_SQUARE 1 /* use separate squaring code? */ +#endif + +#ifndef MP_PTAB_SIZE +/* + When building mpprime.c, we build in a table of small prime + values to use for primality testing. The more you include, + the more space they take up. See primes.c for the possible + values (currently 16, 32, 64, 128, 256, and 6542) + */ +#define MP_PTAB_SIZE 128 /* how many built-in primes? */ +#endif + +#ifndef MP_COMPAT_MACROS +#define MP_COMPAT_MACROS 1 /* define compatibility macros? */ +#endif + +#endif /* ifndef MPI_CONFIG_H_ */ + + +/* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ + +/* $Source: /cvs/libtom/libtommath/mtest/mpi-config.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-types.h b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-types.h new file mode 100644 index 0000000000..026de589dd --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi-types.h @@ -0,0 +1,20 @@ +/* Type definitions generated by 'types.pl' */ +typedef char mp_sign; +typedef unsigned short mp_digit; /* 2 byte type */ +typedef unsigned int mp_word; /* 4 byte type */ +typedef unsigned int mp_size; +typedef int mp_err; + +#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit)) +#define MP_DIGIT_MAX USHRT_MAX +#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word)) +#define MP_WORD_MAX UINT_MAX + +#define MP_DIGIT_SIZE 2 +#define DIGIT_FMT "%04X" +#define RADIX (MP_DIGIT_MAX+1) + + +/* $Source: /cvs/libtom/libtommath/mtest/mpi-types.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.c b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.c new file mode 100644 index 0000000000..7c712dd62d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.c @@ -0,0 +1,3985 @@ +/* + mpi.c + + by Michael J. Fromberger <sting@linguist.dartmouth.edu> + Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved + + Arbitrary precision integer arithmetic library + + $Id: mpi.c,v 1.2 2005/05/05 14:38:47 tom Exp $ + */ + +#include "mpi.h" +#include <stdlib.h> +#include <string.h> +#include <ctype.h> + +#if MP_DEBUG +#include <stdio.h> + +#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);} +#else +#define DIAG(T,V) +#endif + +/* + If MP_LOGTAB is not defined, use the math library to compute the + logarithms on the fly. Otherwise, use the static table below. + Pick which works best for your system. + */ +#if MP_LOGTAB + +/* {{{ s_logv_2[] - log table for 2 in various bases */ + +/* + A table of the logs of 2 for various bases (the 0 and 1 entries of + this table are meaningless and should not be referenced). + + This table is used to compute output lengths for the mp_toradix() + function. Since a number n in radix r takes up about log_r(n) + digits, we estimate the output size by taking the least integer + greater than log_r(n), where: + + log_r(n) = log_2(n) * log_r(2) + + This table, therefore, is a table of log_r(2) for 2 <= r <= 36, + which are the output bases supported. + */ + +#include "logtab.h" + +/* }}} */ +#define LOG_V_2(R) s_logv_2[(R)] + +#else + +#include <math.h> +#define LOG_V_2(R) (log(2.0)/log(R)) + +#endif + +/* Default precision for newly created mp_int's */ +static unsigned int s_mp_defprec = MP_DEFPREC; + +/* {{{ Digit arithmetic macros */ + +/* + When adding and multiplying digits, the results can be larger than + can be contained in an mp_digit. Thus, an mp_word is used. These + macros mask off the upper and lower digits of the mp_word (the + mp_word may be more than 2 mp_digits wide, but we only concern + ourselves with the low-order 2 mp_digits) + + If your mp_word DOES have more than 2 mp_digits, you need to + uncomment the first line, and comment out the second. + */ + +/* #define CARRYOUT(W) (((W)>>DIGIT_BIT)&MP_DIGIT_MAX) */ +#define CARRYOUT(W) ((W)>>DIGIT_BIT) +#define ACCUM(W) ((W)&MP_DIGIT_MAX) + +/* }}} */ + +/* {{{ Comparison constants */ + +#define MP_LT -1 +#define MP_EQ 0 +#define MP_GT 1 + +/* }}} */ + +/* {{{ Constant strings */ + +/* Constant strings returned by mp_strerror() */ +static const char *mp_err_string[] = { + "unknown result code", /* say what? */ + "boolean true", /* MP_OKAY, MP_YES */ + "boolean false", /* MP_NO */ + "out of memory", /* MP_MEM */ + "argument out of range", /* MP_RANGE */ + "invalid input parameter", /* MP_BADARG */ + "result is undefined" /* MP_UNDEF */ +}; + +/* Value to digit maps for radix conversion */ + +/* s_dmap_1 - standard digits and letters */ +static const char *s_dmap_1 = + "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; + +#if 0 +/* s_dmap_2 - base64 ordering for digits */ +static const char *s_dmap_2 = + "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; +#endif + +/* }}} */ + +/* {{{ Static function declarations */ + +/* + If MP_MACRO is false, these will be defined as actual functions; + otherwise, suitable macro definitions will be used. This works + around the fact that ANSI C89 doesn't support an 'inline' keyword + (although I hear C9x will ... about bloody time). At present, the + macro definitions are identical to the function bodies, but they'll + expand in place, instead of generating a function call. + + I chose these particular functions to be made into macros because + some profiling showed they are called a lot on a typical workload, + and yet they are primarily housekeeping. + */ +#if MP_MACRO == 0 + void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */ + void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count); /* copy */ + void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */ + void s_mp_free(void *ptr); /* general free function */ +#else + + /* Even if these are defined as macros, we need to respect the settings + of the MP_MEMSET and MP_MEMCPY configuration options... + */ + #if MP_MEMSET == 0 + #define s_mp_setz(dp, count) \ + {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;} + #else + #define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit)) + #endif /* MP_MEMSET */ + + #if MP_MEMCPY == 0 + #define s_mp_copy(sp, dp, count) \ + {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];} + #else + #define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit)) + #endif /* MP_MEMCPY */ + + #define s_mp_alloc(nb, ni) calloc(nb, ni) + #define s_mp_free(ptr) {if(ptr) free(ptr);} +#endif /* MP_MACRO */ + +mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */ +mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */ + +void s_mp_clamp(mp_int *mp); /* clip leading zeroes */ + +void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */ + +mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */ +void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */ +void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */ +void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */ +mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place*/ +void s_mp_div_2(mp_int *mp); /* divide by 2 in place */ +mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */ +mp_digit s_mp_norm(mp_int *a, mp_int *b); /* normalize for division */ +mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */ +mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */ +mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */ +mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r); + /* unsigned digit divide */ +mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu); + /* Barrett reduction */ +mp_err s_mp_add(mp_int *a, mp_int *b); /* magnitude addition */ +mp_err s_mp_sub(mp_int *a, mp_int *b); /* magnitude subtract */ +mp_err s_mp_mul(mp_int *a, mp_int *b); /* magnitude multiply */ +#if 0 +void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len); + /* multiply buffers in place */ +#endif +#if MP_SQUARE +mp_err s_mp_sqr(mp_int *a); /* magnitude square */ +#else +#define s_mp_sqr(a) s_mp_mul(a, a) +#endif +mp_err s_mp_div(mp_int *a, mp_int *b); /* magnitude divide */ +mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */ +int s_mp_cmp(mp_int *a, mp_int *b); /* magnitude comparison */ +int s_mp_cmp_d(mp_int *a, mp_digit d); /* magnitude digit compare */ +int s_mp_ispow2(mp_int *v); /* is v a power of 2? */ +int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */ + +int s_mp_tovalue(char ch, int r); /* convert ch to value */ +char s_mp_todigit(int val, int r, int low); /* convert val to digit */ +int s_mp_outlen(int bits, int r); /* output length in bytes */ + +/* }}} */ + +/* {{{ Default precision manipulation */ + +unsigned int mp_get_prec(void) +{ + return s_mp_defprec; + +} /* end mp_get_prec() */ + +void mp_set_prec(unsigned int prec) +{ + if(prec == 0) + s_mp_defprec = MP_DEFPREC; + else + s_mp_defprec = prec; + +} /* end mp_set_prec() */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ mp_init(mp) */ + +/* + mp_init(mp) + + Initialize a new zero-valued mp_int. Returns MP_OKAY if successful, + MP_MEM if memory could not be allocated for the structure. + */ + +mp_err mp_init(mp_int *mp) +{ + return mp_init_size(mp, s_mp_defprec); + +} /* end mp_init() */ + +/* }}} */ + +/* {{{ mp_init_array(mp[], count) */ + +mp_err mp_init_array(mp_int mp[], int count) +{ + mp_err res; + int pos; + + ARGCHK(mp !=NULL && count > 0, MP_BADARG); + + for(pos = 0; pos < count; ++pos) { + if((res = mp_init(&mp[pos])) != MP_OKAY) + goto CLEANUP; + } + + return MP_OKAY; + + CLEANUP: + while(--pos >= 0) + mp_clear(&mp[pos]); + + return res; + +} /* end mp_init_array() */ + +/* }}} */ + +/* {{{ mp_init_size(mp, prec) */ + +/* + mp_init_size(mp, prec) + + Initialize a new zero-valued mp_int with at least the given + precision; returns MP_OKAY if successful, or MP_MEM if memory could + not be allocated for the structure. + */ + +mp_err mp_init_size(mp_int *mp, mp_size prec) +{ + ARGCHK(mp != NULL && prec > 0, MP_BADARG); + + if((DIGITS(mp) = s_mp_alloc(prec, sizeof(mp_digit))) == NULL) + return MP_MEM; + + SIGN(mp) = MP_ZPOS; + USED(mp) = 1; + ALLOC(mp) = prec; + + return MP_OKAY; + +} /* end mp_init_size() */ + +/* }}} */ + +/* {{{ mp_init_copy(mp, from) */ + +/* + mp_init_copy(mp, from) + + Initialize mp as an exact copy of from. Returns MP_OKAY if + successful, MP_MEM if memory could not be allocated for the new + structure. + */ + +mp_err mp_init_copy(mp_int *mp, mp_int *from) +{ + ARGCHK(mp != NULL && from != NULL, MP_BADARG); + + if(mp == from) + return MP_OKAY; + + if((DIGITS(mp) = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) + return MP_MEM; + + s_mp_copy(DIGITS(from), DIGITS(mp), USED(from)); + USED(mp) = USED(from); + ALLOC(mp) = USED(from); + SIGN(mp) = SIGN(from); + + return MP_OKAY; + +} /* end mp_init_copy() */ + +/* }}} */ + +/* {{{ mp_copy(from, to) */ + +/* + mp_copy(from, to) + + Copies the mp_int 'from' to the mp_int 'to'. It is presumed that + 'to' has already been initialized (if not, use mp_init_copy() + instead). If 'from' and 'to' are identical, nothing happens. + */ + +mp_err mp_copy(mp_int *from, mp_int *to) +{ + ARGCHK(from != NULL && to != NULL, MP_BADARG); + + if(from == to) + return MP_OKAY; + + { /* copy */ + mp_digit *tmp; + + /* + If the allocated buffer in 'to' already has enough space to hold + all the used digits of 'from', we'll re-use it to avoid hitting + the memory allocater more than necessary; otherwise, we'd have + to grow anyway, so we just allocate a hunk and make the copy as + usual + */ + if(ALLOC(to) >= USED(from)) { + s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); + s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); + + } else { + if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) + return MP_MEM; + + s_mp_copy(DIGITS(from), tmp, USED(from)); + + if(DIGITS(to) != NULL) { +#if MP_CRYPTO + s_mp_setz(DIGITS(to), ALLOC(to)); +#endif + s_mp_free(DIGITS(to)); + } + + DIGITS(to) = tmp; + ALLOC(to) = USED(from); + } + + /* Copy the precision and sign from the original */ + USED(to) = USED(from); + SIGN(to) = SIGN(from); + } /* end copy */ + + return MP_OKAY; + +} /* end mp_copy() */ + +/* }}} */ + +/* {{{ mp_exch(mp1, mp2) */ + +/* + mp_exch(mp1, mp2) + + Exchange mp1 and mp2 without allocating any intermediate memory + (well, unless you count the stack space needed for this call and the + locals it creates...). This cannot fail. + */ + +void mp_exch(mp_int *mp1, mp_int *mp2) +{ +#if MP_ARGCHK == 2 + assert(mp1 != NULL && mp2 != NULL); +#else + if(mp1 == NULL || mp2 == NULL) + return; +#endif + + s_mp_exch(mp1, mp2); + +} /* end mp_exch() */ + +/* }}} */ + +/* {{{ mp_clear(mp) */ + +/* + mp_clear(mp) + + Release the storage used by an mp_int, and void its fields so that + if someone calls mp_clear() again for the same int later, we won't + get tollchocked. + */ + +void mp_clear(mp_int *mp) +{ + if(mp == NULL) + return; + + if(DIGITS(mp) != NULL) { +#if MP_CRYPTO + s_mp_setz(DIGITS(mp), ALLOC(mp)); +#endif + s_mp_free(DIGITS(mp)); + DIGITS(mp) = NULL; + } + + USED(mp) = 0; + ALLOC(mp) = 0; + +} /* end mp_clear() */ + +/* }}} */ + +/* {{{ mp_clear_array(mp[], count) */ + +void mp_clear_array(mp_int mp[], int count) +{ + ARGCHK(mp != NULL && count > 0, MP_BADARG); + + while(--count >= 0) + mp_clear(&mp[count]); + +} /* end mp_clear_array() */ + +/* }}} */ + +/* {{{ mp_zero(mp) */ + +/* + mp_zero(mp) + + Set mp to zero. Does not change the allocated size of the structure, + and therefore cannot fail (except on a bad argument, which we ignore) + */ +void mp_zero(mp_int *mp) +{ + if(mp == NULL) + return; + + s_mp_setz(DIGITS(mp), ALLOC(mp)); + USED(mp) = 1; + SIGN(mp) = MP_ZPOS; + +} /* end mp_zero() */ + +/* }}} */ + +/* {{{ mp_set(mp, d) */ + +void mp_set(mp_int *mp, mp_digit d) +{ + if(mp == NULL) + return; + + mp_zero(mp); + DIGIT(mp, 0) = d; + +} /* end mp_set() */ + +/* }}} */ + +/* {{{ mp_set_int(mp, z) */ + +mp_err mp_set_int(mp_int *mp, long z) +{ + int ix; + unsigned long v = abs(z); + mp_err res; + + ARGCHK(mp != NULL, MP_BADARG); + + mp_zero(mp); + if(z == 0) + return MP_OKAY; /* shortcut for zero */ + + for(ix = sizeof(long) - 1; ix >= 0; ix--) { + + if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) + return res; + + res = s_mp_add_d(mp, + (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); + if(res != MP_OKAY) + return res; + + } + + if(z < 0) + SIGN(mp) = MP_NEG; + + return MP_OKAY; + +} /* end mp_set_int() */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ Digit arithmetic */ + +/* {{{ mp_add_d(a, d, b) */ + +/* + mp_add_d(a, d, b) + + Compute the sum b = a + d, for a single digit d. Respects the sign of + its primary addend (single digits are unsigned anyway). + */ + +mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b) +{ + mp_err res = MP_OKAY; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + if(SIGN(b) == MP_ZPOS) { + res = s_mp_add_d(b, d); + } else if(s_mp_cmp_d(b, d) >= 0) { + res = s_mp_sub_d(b, d); + } else { + SIGN(b) = MP_ZPOS; + + DIGIT(b, 0) = d - DIGIT(b, 0); + } + + return res; + +} /* end mp_add_d() */ + +/* }}} */ + +/* {{{ mp_sub_d(a, d, b) */ + +/* + mp_sub_d(a, d, b) + + Compute the difference b = a - d, for a single digit d. Respects the + sign of its subtrahend (single digits are unsigned anyway). + */ + +mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + if(SIGN(b) == MP_NEG) { + if((res = s_mp_add_d(b, d)) != MP_OKAY) + return res; + + } else if(s_mp_cmp_d(b, d) >= 0) { + if((res = s_mp_sub_d(b, d)) != MP_OKAY) + return res; + + } else { + mp_neg(b, b); + + DIGIT(b, 0) = d - DIGIT(b, 0); + SIGN(b) = MP_NEG; + } + + if(s_mp_cmp_d(b, 0) == 0) + SIGN(b) = MP_ZPOS; + + return MP_OKAY; + +} /* end mp_sub_d() */ + +/* }}} */ + +/* {{{ mp_mul_d(a, d, b) */ + +/* + mp_mul_d(a, d, b) + + Compute the product b = a * d, for a single digit d. Respects the sign + of its multiplicand (single digits are unsigned anyway) + */ + +mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if(d == 0) { + mp_zero(b); + return MP_OKAY; + } + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + res = s_mp_mul_d(b, d); + + return res; + +} /* end mp_mul_d() */ + +/* }}} */ + +/* {{{ mp_mul_2(a, c) */ + +mp_err mp_mul_2(mp_int *a, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if((res = mp_copy(a, c)) != MP_OKAY) + return res; + + return s_mp_mul_2(c); + +} /* end mp_mul_2() */ + +/* }}} */ + +/* {{{ mp_div_d(a, d, q, r) */ + +/* + mp_div_d(a, d, q, r) + + Compute the quotient q = a / d and remainder r = a mod d, for a + single digit d. Respects the sign of its divisor (single digits are + unsigned anyway). + */ + +mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r) +{ + mp_err res; + mp_digit rem; + int pow; + + ARGCHK(a != NULL, MP_BADARG); + + if(d == 0) + return MP_RANGE; + + /* Shortcut for powers of two ... */ + if((pow = s_mp_ispow2d(d)) >= 0) { + mp_digit mask; + + mask = (1 << pow) - 1; + rem = DIGIT(a, 0) & mask; + + if(q) { + mp_copy(a, q); + s_mp_div_2d(q, pow); + } + + if(r) + *r = rem; + + return MP_OKAY; + } + + /* + If the quotient is actually going to be returned, we'll try to + avoid hitting the memory allocator by copying the dividend into it + and doing the division there. This can't be any _worse_ than + always copying, and will sometimes be better (since it won't make + another copy) + + If it's not going to be returned, we need to allocate a temporary + to hold the quotient, which will just be discarded. + */ + if(q) { + if((res = mp_copy(a, q)) != MP_OKAY) + return res; + + res = s_mp_div_d(q, d, &rem); + if(s_mp_cmp_d(q, 0) == MP_EQ) + SIGN(q) = MP_ZPOS; + + } else { + mp_int qp; + + if((res = mp_init_copy(&qp, a)) != MP_OKAY) + return res; + + res = s_mp_div_d(&qp, d, &rem); + if(s_mp_cmp_d(&qp, 0) == 0) + SIGN(&qp) = MP_ZPOS; + + mp_clear(&qp); + } + + if(r) + *r = rem; + + return res; + +} /* end mp_div_d() */ + +/* }}} */ + +/* {{{ mp_div_2(a, c) */ + +/* + mp_div_2(a, c) + + Compute c = a / 2, disregarding the remainder. + */ + +mp_err mp_div_2(mp_int *a, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if((res = mp_copy(a, c)) != MP_OKAY) + return res; + + s_mp_div_2(c); + + return MP_OKAY; + +} /* end mp_div_2() */ + +/* }}} */ + +/* {{{ mp_expt_d(a, d, b) */ + +mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c) +{ + mp_int s, x; + mp_err res; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if((res = mp_init(&s)) != MP_OKAY) + return res; + if((res = mp_init_copy(&x, a)) != MP_OKAY) + goto X; + + DIGIT(&s, 0) = 1; + + while(d != 0) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + } + + d >>= 1; + + if((res = s_mp_sqr(&x)) != MP_OKAY) + goto CLEANUP; + } + + s_mp_exch(&s, c); + +CLEANUP: + mp_clear(&x); +X: + mp_clear(&s); + + return res; + +} /* end mp_expt_d() */ + +/* }}} */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ Full arithmetic */ + +/* {{{ mp_abs(a, b) */ + +/* + mp_abs(a, b) + + Compute b = |a|. 'a' and 'b' may be identical. + */ + +mp_err mp_abs(mp_int *a, mp_int *b) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + SIGN(b) = MP_ZPOS; + + return MP_OKAY; + +} /* end mp_abs() */ + +/* }}} */ + +/* {{{ mp_neg(a, b) */ + +/* + mp_neg(a, b) + + Compute b = -a. 'a' and 'b' may be identical. + */ + +mp_err mp_neg(mp_int *a, mp_int *b) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + if(s_mp_cmp_d(b, 0) == MP_EQ) + SIGN(b) = MP_ZPOS; + else + SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; + + return MP_OKAY; + +} /* end mp_neg() */ + +/* }}} */ + +/* {{{ mp_add(a, b, c) */ + +/* + mp_add(a, b, c) + + Compute c = a + b. All parameters may be identical. + */ + +mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) +{ + mp_err res; + int cmp; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ + + /* Commutativity of addition lets us do this in either order, + so we avoid having to use a temporary even if the result + is supposed to replace the output + */ + if(c == b) { + if((res = s_mp_add(c, a)) != MP_OKAY) + return res; + } else { + if(c != a && (res = mp_copy(a, c)) != MP_OKAY) + return res; + + if((res = s_mp_add(c, b)) != MP_OKAY) + return res; + } + + } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ + + /* If the output is going to be clobbered, we will use a temporary + variable; otherwise, we'll do it without touching the memory + allocator at all, if possible + */ + if(c == b) { + mp_int tmp; + + if((res = mp_init_copy(&tmp, a)) != MP_OKAY) + return res; + if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + + s_mp_exch(&tmp, c); + mp_clear(&tmp); + + } else { + + if(c != a && (res = mp_copy(a, c)) != MP_OKAY) + return res; + if((res = s_mp_sub(c, b)) != MP_OKAY) + return res; + + } + + } else if(cmp == 0) { /* different sign, a == b */ + + mp_zero(c); + return MP_OKAY; + + } else { /* different sign: a < b */ + + /* See above... */ + if(c == a) { + mp_int tmp; + + if((res = mp_init_copy(&tmp, b)) != MP_OKAY) + return res; + if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + + s_mp_exch(&tmp, c); + mp_clear(&tmp); + + } else { + + if(c != b && (res = mp_copy(b, c)) != MP_OKAY) + return res; + if((res = s_mp_sub(c, a)) != MP_OKAY) + return res; + + } + } + + if(USED(c) == 1 && DIGIT(c, 0) == 0) + SIGN(c) = MP_ZPOS; + + return MP_OKAY; + +} /* end mp_add() */ + +/* }}} */ + +/* {{{ mp_sub(a, b, c) */ + +/* + mp_sub(a, b, c) + + Compute c = a - b. All parameters may be identical. + */ + +mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) +{ + mp_err res; + int cmp; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + if(SIGN(a) != SIGN(b)) { + if(c == a) { + if((res = s_mp_add(c, b)) != MP_OKAY) + return res; + } else { + if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) + return res; + if((res = s_mp_add(c, a)) != MP_OKAY) + return res; + SIGN(c) = SIGN(a); + } + + } else if((cmp = s_mp_cmp(a, b)) > 0) { /* Same sign, a > b */ + if(c == b) { + mp_int tmp; + + if((res = mp_init_copy(&tmp, a)) != MP_OKAY) + return res; + if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + s_mp_exch(&tmp, c); + mp_clear(&tmp); + + } else { + if(c != a && ((res = mp_copy(a, c)) != MP_OKAY)) + return res; + + if((res = s_mp_sub(c, b)) != MP_OKAY) + return res; + } + + } else if(cmp == 0) { /* Same sign, equal magnitude */ + mp_zero(c); + return MP_OKAY; + + } else { /* Same sign, b > a */ + if(c == a) { + mp_int tmp; + + if((res = mp_init_copy(&tmp, b)) != MP_OKAY) + return res; + + if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + s_mp_exch(&tmp, c); + mp_clear(&tmp); + + } else { + if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) + return res; + + if((res = s_mp_sub(c, a)) != MP_OKAY) + return res; + } + + SIGN(c) = !SIGN(b); + } + + if(USED(c) == 1 && DIGIT(c, 0) == 0) + SIGN(c) = MP_ZPOS; + + return MP_OKAY; + +} /* end mp_sub() */ + +/* }}} */ + +/* {{{ mp_mul(a, b, c) */ + +/* + mp_mul(a, b, c) + + Compute c = a * b. All parameters may be identical. + */ + +mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) +{ + mp_err res; + mp_sign sgn; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + sgn = (SIGN(a) == SIGN(b)) ? MP_ZPOS : MP_NEG; + + if(c == b) { + if((res = s_mp_mul(c, a)) != MP_OKAY) + return res; + + } else { + if((res = mp_copy(a, c)) != MP_OKAY) + return res; + + if((res = s_mp_mul(c, b)) != MP_OKAY) + return res; + } + + if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) + SIGN(c) = MP_ZPOS; + else + SIGN(c) = sgn; + + return MP_OKAY; + +} /* end mp_mul() */ + +/* }}} */ + +/* {{{ mp_mul_2d(a, d, c) */ + +/* + mp_mul_2d(a, d, c) + + Compute c = a * 2^d. a may be the same as c. + */ + +mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if((res = mp_copy(a, c)) != MP_OKAY) + return res; + + if(d == 0) + return MP_OKAY; + + return s_mp_mul_2d(c, d); + +} /* end mp_mul() */ + +/* }}} */ + +/* {{{ mp_sqr(a, b) */ + +#if MP_SQUARE +mp_err mp_sqr(mp_int *a, mp_int *b) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if((res = mp_copy(a, b)) != MP_OKAY) + return res; + + if((res = s_mp_sqr(b)) != MP_OKAY) + return res; + + SIGN(b) = MP_ZPOS; + + return MP_OKAY; + +} /* end mp_sqr() */ +#endif + +/* }}} */ + +/* {{{ mp_div(a, b, q, r) */ + +/* + mp_div(a, b, q, r) + + Compute q = a / b and r = a mod b. Input parameters may be re-used + as output parameters. If q or r is NULL, that portion of the + computation will be discarded (although it will still be computed) + + Pay no attention to the hacker behind the curtain. + */ + +mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) +{ + mp_err res; + mp_int qtmp, rtmp; + int cmp; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + if(mp_cmp_z(b) == MP_EQ) + return MP_RANGE; + + /* If a <= b, we can compute the solution without division, and + avoid any memory allocation + */ + if((cmp = s_mp_cmp(a, b)) < 0) { + if(r) { + if((res = mp_copy(a, r)) != MP_OKAY) + return res; + } + + if(q) + mp_zero(q); + + return MP_OKAY; + + } else if(cmp == 0) { + + /* Set quotient to 1, with appropriate sign */ + if(q) { + int qneg = (SIGN(a) != SIGN(b)); + + mp_set(q, 1); + if(qneg) + SIGN(q) = MP_NEG; + } + + if(r) + mp_zero(r); + + return MP_OKAY; + } + + /* If we get here, it means we actually have to do some division */ + + /* Set up some temporaries... */ + if((res = mp_init_copy(&qtmp, a)) != MP_OKAY) + return res; + if((res = mp_init_copy(&rtmp, b)) != MP_OKAY) + goto CLEANUP; + + if((res = s_mp_div(&qtmp, &rtmp)) != MP_OKAY) + goto CLEANUP; + + /* Compute the signs for the output */ + SIGN(&rtmp) = SIGN(a); /* Sr = Sa */ + if(SIGN(a) == SIGN(b)) + SIGN(&qtmp) = MP_ZPOS; /* Sq = MP_ZPOS if Sa = Sb */ + else + SIGN(&qtmp) = MP_NEG; /* Sq = MP_NEG if Sa != Sb */ + + if(s_mp_cmp_d(&qtmp, 0) == MP_EQ) + SIGN(&qtmp) = MP_ZPOS; + if(s_mp_cmp_d(&rtmp, 0) == MP_EQ) + SIGN(&rtmp) = MP_ZPOS; + + /* Copy output, if it is needed */ + if(q) + s_mp_exch(&qtmp, q); + + if(r) + s_mp_exch(&rtmp, r); + +CLEANUP: + mp_clear(&rtmp); + mp_clear(&qtmp); + + return res; + +} /* end mp_div() */ + +/* }}} */ + +/* {{{ mp_div_2d(a, d, q, r) */ + +mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r) +{ + mp_err res; + + ARGCHK(a != NULL, MP_BADARG); + + if(q) { + if((res = mp_copy(a, q)) != MP_OKAY) + return res; + + s_mp_div_2d(q, d); + } + + if(r) { + if((res = mp_copy(a, r)) != MP_OKAY) + return res; + + s_mp_mod_2d(r, d); + } + + return MP_OKAY; + +} /* end mp_div_2d() */ + +/* }}} */ + +/* {{{ mp_expt(a, b, c) */ + +/* + mp_expt(a, b, c) + + Compute c = a ** b, that is, raise a to the b power. Uses a + standard iterative square-and-multiply technique. + */ + +mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) +{ + mp_int s, x; + mp_err res; + mp_digit d; + int dig, bit; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + if(mp_cmp_z(b) < 0) + return MP_RANGE; + + if((res = mp_init(&s)) != MP_OKAY) + return res; + + mp_set(&s, 1); + + if((res = mp_init_copy(&x, a)) != MP_OKAY) + goto X; + + /* Loop over low-order digits in ascending order */ + for(dig = 0; dig < (USED(b) - 1); dig++) { + d = DIGIT(b, dig); + + /* Loop over bits of each non-maximal digit */ + for(bit = 0; bit < DIGIT_BIT; bit++) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + } + + d >>= 1; + + if((res = s_mp_sqr(&x)) != MP_OKAY) + goto CLEANUP; + } + } + + /* Consider now the last digit... */ + d = DIGIT(b, dig); + + while(d) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + } + + d >>= 1; + + if((res = s_mp_sqr(&x)) != MP_OKAY) + goto CLEANUP; + } + + if(mp_iseven(b)) + SIGN(&s) = SIGN(a); + + res = mp_copy(&s, c); + +CLEANUP: + mp_clear(&x); +X: + mp_clear(&s); + + return res; + +} /* end mp_expt() */ + +/* }}} */ + +/* {{{ mp_2expt(a, k) */ + +/* Compute a = 2^k */ + +mp_err mp_2expt(mp_int *a, mp_digit k) +{ + ARGCHK(a != NULL, MP_BADARG); + + return s_mp_2expt(a, k); + +} /* end mp_2expt() */ + +/* }}} */ + +/* {{{ mp_mod(a, m, c) */ + +/* + mp_mod(a, m, c) + + Compute c = a (mod m). Result will always be 0 <= c < m. + */ + +mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) +{ + mp_err res; + int mag; + + ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); + + if(SIGN(m) == MP_NEG) + return MP_RANGE; + + /* + If |a| > m, we need to divide to get the remainder and take the + absolute value. + + If |a| < m, we don't need to do any division, just copy and adjust + the sign (if a is negative). + + If |a| == m, we can simply set the result to zero. + + This order is intended to minimize the average path length of the + comparison chain on common workloads -- the most frequent cases are + that |a| != m, so we do those first. + */ + if((mag = s_mp_cmp(a, m)) > 0) { + if((res = mp_div(a, m, NULL, c)) != MP_OKAY) + return res; + + if(SIGN(c) == MP_NEG) { + if((res = mp_add(c, m, c)) != MP_OKAY) + return res; + } + + } else if(mag < 0) { + if((res = mp_copy(a, c)) != MP_OKAY) + return res; + + if(mp_cmp_z(a) < 0) { + if((res = mp_add(c, m, c)) != MP_OKAY) + return res; + + } + + } else { + mp_zero(c); + + } + + return MP_OKAY; + +} /* end mp_mod() */ + +/* }}} */ + +/* {{{ mp_mod_d(a, d, c) */ + +/* + mp_mod_d(a, d, c) + + Compute c = a (mod d). Result will always be 0 <= c < d + */ +mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c) +{ + mp_err res; + mp_digit rem; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if(s_mp_cmp_d(a, d) > 0) { + if((res = mp_div_d(a, d, NULL, &rem)) != MP_OKAY) + return res; + + } else { + if(SIGN(a) == MP_NEG) + rem = d - DIGIT(a, 0); + else + rem = DIGIT(a, 0); + } + + if(c) + *c = rem; + + return MP_OKAY; + +} /* end mp_mod_d() */ + +/* }}} */ + +/* {{{ mp_sqrt(a, b) */ + +/* + mp_sqrt(a, b) + + Compute the integer square root of a, and store the result in b. + Uses an integer-arithmetic version of Newton's iterative linear + approximation technique to determine this value; the result has the + following two properties: + + b^2 <= a + (b+1)^2 >= a + + It is a range error to pass a negative value. + */ +mp_err mp_sqrt(mp_int *a, mp_int *b) +{ + mp_int x, t; + mp_err res; + + ARGCHK(a != NULL && b != NULL, MP_BADARG); + + /* Cannot take square root of a negative value */ + if(SIGN(a) == MP_NEG) + return MP_RANGE; + + /* Special cases for zero and one, trivial */ + if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) + return mp_copy(a, b); + + /* Initialize the temporaries we'll use below */ + if((res = mp_init_size(&t, USED(a))) != MP_OKAY) + return res; + + /* Compute an initial guess for the iteration as a itself */ + if((res = mp_init_copy(&x, a)) != MP_OKAY) + goto X; + +s_mp_rshd(&x, (USED(&x)/2)+1); +mp_add_d(&x, 1, &x); + + for(;;) { + /* t = (x * x) - a */ + mp_copy(&x, &t); /* can't fail, t is big enough for original x */ + if((res = mp_sqr(&t, &t)) != MP_OKAY || + (res = mp_sub(&t, a, &t)) != MP_OKAY) + goto CLEANUP; + + /* t = t / 2x */ + s_mp_mul_2(&x); + if((res = mp_div(&t, &x, &t, NULL)) != MP_OKAY) + goto CLEANUP; + s_mp_div_2(&x); + + /* Terminate the loop, if the quotient is zero */ + if(mp_cmp_z(&t) == MP_EQ) + break; + + /* x = x - t */ + if((res = mp_sub(&x, &t, &x)) != MP_OKAY) + goto CLEANUP; + + } + + /* Copy result to output parameter */ + mp_sub_d(&x, 1, &x); + s_mp_exch(&x, b); + + CLEANUP: + mp_clear(&x); + X: + mp_clear(&t); + + return res; + +} /* end mp_sqrt() */ + +/* }}} */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ Modular arithmetic */ + +#if MP_MODARITH +/* {{{ mp_addmod(a, b, m, c) */ + +/* + mp_addmod(a, b, m, c) + + Compute c = (a + b) mod m + */ + +mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); + + if((res = mp_add(a, b, c)) != MP_OKAY) + return res; + if((res = mp_mod(c, m, c)) != MP_OKAY) + return res; + + return MP_OKAY; + +} + +/* }}} */ + +/* {{{ mp_submod(a, b, m, c) */ + +/* + mp_submod(a, b, m, c) + + Compute c = (a - b) mod m + */ + +mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); + + if((res = mp_sub(a, b, c)) != MP_OKAY) + return res; + if((res = mp_mod(c, m, c)) != MP_OKAY) + return res; + + return MP_OKAY; + +} + +/* }}} */ + +/* {{{ mp_mulmod(a, b, m, c) */ + +/* + mp_mulmod(a, b, m, c) + + Compute c = (a * b) mod m + */ + +mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); + + if((res = mp_mul(a, b, c)) != MP_OKAY) + return res; + if((res = mp_mod(c, m, c)) != MP_OKAY) + return res; + + return MP_OKAY; + +} + +/* }}} */ + +/* {{{ mp_sqrmod(a, m, c) */ + +#if MP_SQUARE +mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) +{ + mp_err res; + + ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); + + if((res = mp_sqr(a, c)) != MP_OKAY) + return res; + if((res = mp_mod(c, m, c)) != MP_OKAY) + return res; + + return MP_OKAY; + +} /* end mp_sqrmod() */ +#endif + +/* }}} */ + +/* {{{ mp_exptmod(a, b, m, c) */ + +/* + mp_exptmod(a, b, m, c) + + Compute c = (a ** b) mod m. Uses a standard square-and-multiply + method with modular reductions at each step. (This is basically the + same code as mp_expt(), except for the addition of the reductions) + + The modular reductions are done using Barrett's algorithm (see + s_mp_reduce() below for details) + */ + +mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) +{ + mp_int s, x, mu; + mp_err res; + mp_digit d, *db = DIGITS(b); + mp_size ub = USED(b); + int dig, bit; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + if(mp_cmp_z(b) < 0 || mp_cmp_z(m) <= 0) + return MP_RANGE; + + if((res = mp_init(&s)) != MP_OKAY) + return res; + if((res = mp_init_copy(&x, a)) != MP_OKAY) + goto X; + if((res = mp_mod(&x, m, &x)) != MP_OKAY || + (res = mp_init(&mu)) != MP_OKAY) + goto MU; + + mp_set(&s, 1); + + /* mu = b^2k / m */ + s_mp_add_d(&mu, 1); + s_mp_lshd(&mu, 2 * USED(m)); + if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) + goto CLEANUP; + + /* Loop over digits of b in ascending order, except highest order */ + for(dig = 0; dig < (ub - 1); dig++) { + d = *db++; + + /* Loop over the bits of the lower-order digits */ + for(bit = 0; bit < DIGIT_BIT; bit++) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) + goto CLEANUP; + } + + d >>= 1; + + if((res = s_mp_sqr(&x)) != MP_OKAY) + goto CLEANUP; + if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) + goto CLEANUP; + } + } + + /* Now do the last digit... */ + d = *db; + + while(d) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) + goto CLEANUP; + } + + d >>= 1; + + if((res = s_mp_sqr(&x)) != MP_OKAY) + goto CLEANUP; + if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) + goto CLEANUP; + } + + s_mp_exch(&s, c); + + CLEANUP: + mp_clear(&mu); + MU: + mp_clear(&x); + X: + mp_clear(&s); + + return res; + +} /* end mp_exptmod() */ + +/* }}} */ + +/* {{{ mp_exptmod_d(a, d, m, c) */ + +mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c) +{ + mp_int s, x; + mp_err res; + + ARGCHK(a != NULL && c != NULL, MP_BADARG); + + if((res = mp_init(&s)) != MP_OKAY) + return res; + if((res = mp_init_copy(&x, a)) != MP_OKAY) + goto X; + + mp_set(&s, 1); + + while(d != 0) { + if(d & 1) { + if((res = s_mp_mul(&s, &x)) != MP_OKAY || + (res = mp_mod(&s, m, &s)) != MP_OKAY) + goto CLEANUP; + } + + d /= 2; + + if((res = s_mp_sqr(&x)) != MP_OKAY || + (res = mp_mod(&x, m, &x)) != MP_OKAY) + goto CLEANUP; + } + + s_mp_exch(&s, c); + +CLEANUP: + mp_clear(&x); +X: + mp_clear(&s); + + return res; + +} /* end mp_exptmod_d() */ + +/* }}} */ +#endif /* if MP_MODARITH */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ Comparison functions */ + +/* {{{ mp_cmp_z(a) */ + +/* + mp_cmp_z(a) + + Compare a <=> 0. Returns <0 if a<0, 0 if a=0, >0 if a>0. + */ + +int mp_cmp_z(mp_int *a) +{ + if(SIGN(a) == MP_NEG) + return MP_LT; + else if(USED(a) == 1 && DIGIT(a, 0) == 0) + return MP_EQ; + else + return MP_GT; + +} /* end mp_cmp_z() */ + +/* }}} */ + +/* {{{ mp_cmp_d(a, d) */ + +/* + mp_cmp_d(a, d) + + Compare a <=> d. Returns <0 if a<d, 0 if a=d, >0 if a>d + */ + +int mp_cmp_d(mp_int *a, mp_digit d) +{ + ARGCHK(a != NULL, MP_EQ); + + if(SIGN(a) == MP_NEG) + return MP_LT; + + return s_mp_cmp_d(a, d); + +} /* end mp_cmp_d() */ + +/* }}} */ + +/* {{{ mp_cmp(a, b) */ + +int mp_cmp(mp_int *a, mp_int *b) +{ + ARGCHK(a != NULL && b != NULL, MP_EQ); + + if(SIGN(a) == SIGN(b)) { + int mag; + + if((mag = s_mp_cmp(a, b)) == MP_EQ) + return MP_EQ; + + if(SIGN(a) == MP_ZPOS) + return mag; + else + return -mag; + + } else if(SIGN(a) == MP_ZPOS) { + return MP_GT; + } else { + return MP_LT; + } + +} /* end mp_cmp() */ + +/* }}} */ + +/* {{{ mp_cmp_mag(a, b) */ + +/* + mp_cmp_mag(a, b) + + Compares |a| <=> |b|, and returns an appropriate comparison result + */ + +int mp_cmp_mag(mp_int *a, mp_int *b) +{ + ARGCHK(a != NULL && b != NULL, MP_EQ); + + return s_mp_cmp(a, b); + +} /* end mp_cmp_mag() */ + +/* }}} */ + +/* {{{ mp_cmp_int(a, z) */ + +/* + This just converts z to an mp_int, and uses the existing comparison + routines. This is sort of inefficient, but it's not clear to me how + frequently this wil get used anyway. For small positive constants, + you can always use mp_cmp_d(), and for zero, there is mp_cmp_z(). + */ +int mp_cmp_int(mp_int *a, long z) +{ + mp_int tmp; + int out; + + ARGCHK(a != NULL, MP_EQ); + + mp_init(&tmp); mp_set_int(&tmp, z); + out = mp_cmp(a, &tmp); + mp_clear(&tmp); + + return out; + +} /* end mp_cmp_int() */ + +/* }}} */ + +/* {{{ mp_isodd(a) */ + +/* + mp_isodd(a) + + Returns a true (non-zero) value if a is odd, false (zero) otherwise. + */ +int mp_isodd(mp_int *a) +{ + ARGCHK(a != NULL, 0); + + return (DIGIT(a, 0) & 1); + +} /* end mp_isodd() */ + +/* }}} */ + +/* {{{ mp_iseven(a) */ + +int mp_iseven(mp_int *a) +{ + return !mp_isodd(a); + +} /* end mp_iseven() */ + +/* }}} */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ Number theoretic functions */ + +#if MP_NUMTH +/* {{{ mp_gcd(a, b, c) */ + +/* + Like the old mp_gcd() function, except computes the GCD using the + binary algorithm due to Josef Stein in 1961 (via Knuth). + */ +mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) +{ + mp_err res; + mp_int u, v, t; + mp_size k = 0; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + if(mp_cmp_z(a) == MP_EQ && mp_cmp_z(b) == MP_EQ) + return MP_RANGE; + if(mp_cmp_z(a) == MP_EQ) { + return mp_copy(b, c); + } else if(mp_cmp_z(b) == MP_EQ) { + return mp_copy(a, c); + } + + if((res = mp_init(&t)) != MP_OKAY) + return res; + if((res = mp_init_copy(&u, a)) != MP_OKAY) + goto U; + if((res = mp_init_copy(&v, b)) != MP_OKAY) + goto V; + + SIGN(&u) = MP_ZPOS; + SIGN(&v) = MP_ZPOS; + + /* Divide out common factors of 2 until at least 1 of a, b is even */ + while(mp_iseven(&u) && mp_iseven(&v)) { + s_mp_div_2(&u); + s_mp_div_2(&v); + ++k; + } + + /* Initialize t */ + if(mp_isodd(&u)) { + if((res = mp_copy(&v, &t)) != MP_OKAY) + goto CLEANUP; + + /* t = -v */ + if(SIGN(&v) == MP_ZPOS) + SIGN(&t) = MP_NEG; + else + SIGN(&t) = MP_ZPOS; + + } else { + if((res = mp_copy(&u, &t)) != MP_OKAY) + goto CLEANUP; + + } + + for(;;) { + while(mp_iseven(&t)) { + s_mp_div_2(&t); + } + + if(mp_cmp_z(&t) == MP_GT) { + if((res = mp_copy(&t, &u)) != MP_OKAY) + goto CLEANUP; + + } else { + if((res = mp_copy(&t, &v)) != MP_OKAY) + goto CLEANUP; + + /* v = -t */ + if(SIGN(&t) == MP_ZPOS) + SIGN(&v) = MP_NEG; + else + SIGN(&v) = MP_ZPOS; + } + + if((res = mp_sub(&u, &v, &t)) != MP_OKAY) + goto CLEANUP; + + if(s_mp_cmp_d(&t, 0) == MP_EQ) + break; + } + + s_mp_2expt(&v, k); /* v = 2^k */ + res = mp_mul(&u, &v, c); /* c = u * v */ + + CLEANUP: + mp_clear(&v); + V: + mp_clear(&u); + U: + mp_clear(&t); + + return res; + +} /* end mp_bgcd() */ + +/* }}} */ + +/* {{{ mp_lcm(a, b, c) */ + +/* We compute the least common multiple using the rule: + + ab = [a, b](a, b) + + ... by computing the product, and dividing out the gcd. + */ + +mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c) +{ + mp_int gcd, prod; + mp_err res; + + ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); + + /* Set up temporaries */ + if((res = mp_init(&gcd)) != MP_OKAY) + return res; + if((res = mp_init(&prod)) != MP_OKAY) + goto GCD; + + if((res = mp_mul(a, b, &prod)) != MP_OKAY) + goto CLEANUP; + if((res = mp_gcd(a, b, &gcd)) != MP_OKAY) + goto CLEANUP; + + res = mp_div(&prod, &gcd, c, NULL); + + CLEANUP: + mp_clear(&prod); + GCD: + mp_clear(&gcd); + + return res; + +} /* end mp_lcm() */ + +/* }}} */ + +/* {{{ mp_xgcd(a, b, g, x, y) */ + +/* + mp_xgcd(a, b, g, x, y) + + Compute g = (a, b) and values x and y satisfying Bezout's identity + (that is, ax + by = g). This uses the extended binary GCD algorithm + based on the Stein algorithm used for mp_gcd() + */ + +mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) +{ + mp_int gx, xc, yc, u, v, A, B, C, D; + mp_int *clean[9]; + mp_err res; + int last = -1; + + if(mp_cmp_z(b) == 0) + return MP_RANGE; + + /* Initialize all these variables we need */ + if((res = mp_init(&u)) != MP_OKAY) goto CLEANUP; + clean[++last] = &u; + if((res = mp_init(&v)) != MP_OKAY) goto CLEANUP; + clean[++last] = &v; + if((res = mp_init(&gx)) != MP_OKAY) goto CLEANUP; + clean[++last] = &gx; + if((res = mp_init(&A)) != MP_OKAY) goto CLEANUP; + clean[++last] = &A; + if((res = mp_init(&B)) != MP_OKAY) goto CLEANUP; + clean[++last] = &B; + if((res = mp_init(&C)) != MP_OKAY) goto CLEANUP; + clean[++last] = &C; + if((res = mp_init(&D)) != MP_OKAY) goto CLEANUP; + clean[++last] = &D; + if((res = mp_init_copy(&xc, a)) != MP_OKAY) goto CLEANUP; + clean[++last] = &xc; + mp_abs(&xc, &xc); + if((res = mp_init_copy(&yc, b)) != MP_OKAY) goto CLEANUP; + clean[++last] = &yc; + mp_abs(&yc, &yc); + + mp_set(&gx, 1); + + /* Divide by two until at least one of them is even */ + while(mp_iseven(&xc) && mp_iseven(&yc)) { + s_mp_div_2(&xc); + s_mp_div_2(&yc); + if((res = s_mp_mul_2(&gx)) != MP_OKAY) + goto CLEANUP; + } + + mp_copy(&xc, &u); + mp_copy(&yc, &v); + mp_set(&A, 1); mp_set(&D, 1); + + /* Loop through binary GCD algorithm */ + for(;;) { + while(mp_iseven(&u)) { + s_mp_div_2(&u); + + if(mp_iseven(&A) && mp_iseven(&B)) { + s_mp_div_2(&A); s_mp_div_2(&B); + } else { + if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&A); + if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&B); + } + } + + while(mp_iseven(&v)) { + s_mp_div_2(&v); + + if(mp_iseven(&C) && mp_iseven(&D)) { + s_mp_div_2(&C); s_mp_div_2(&D); + } else { + if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&C); + if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&D); + } + } + + if(mp_cmp(&u, &v) >= 0) { + if((res = mp_sub(&u, &v, &u)) != MP_OKAY) goto CLEANUP; + if((res = mp_sub(&A, &C, &A)) != MP_OKAY) goto CLEANUP; + if((res = mp_sub(&B, &D, &B)) != MP_OKAY) goto CLEANUP; + + } else { + if((res = mp_sub(&v, &u, &v)) != MP_OKAY) goto CLEANUP; + if((res = mp_sub(&C, &A, &C)) != MP_OKAY) goto CLEANUP; + if((res = mp_sub(&D, &B, &D)) != MP_OKAY) goto CLEANUP; + + } + + /* If we're done, copy results to output */ + if(mp_cmp_z(&u) == 0) { + if(x) + if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; + + if(y) + if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; + + if(g) + if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; + + break; + } + } + + CLEANUP: + while(last >= 0) + mp_clear(clean[last--]); + + return res; + +} /* end mp_xgcd() */ + +/* }}} */ + +/* {{{ mp_invmod(a, m, c) */ + +/* + mp_invmod(a, m, c) + + Compute c = a^-1 (mod m), if there is an inverse for a (mod m). + This is equivalent to the question of whether (a, m) = 1. If not, + MP_UNDEF is returned, and there is no inverse. + */ + +mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c) +{ + mp_int g, x; + mp_err res; + + ARGCHK(a && m && c, MP_BADARG); + + if(mp_cmp_z(a) == 0 || mp_cmp_z(m) == 0) + return MP_RANGE; + + if((res = mp_init(&g)) != MP_OKAY) + return res; + if((res = mp_init(&x)) != MP_OKAY) + goto X; + + if((res = mp_xgcd(a, m, &g, &x, NULL)) != MP_OKAY) + goto CLEANUP; + + if(mp_cmp_d(&g, 1) != MP_EQ) { + res = MP_UNDEF; + goto CLEANUP; + } + + res = mp_mod(&x, m, c); + SIGN(c) = SIGN(a); + +CLEANUP: + mp_clear(&x); +X: + mp_clear(&g); + + return res; + +} /* end mp_invmod() */ + +/* }}} */ +#endif /* if MP_NUMTH */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ mp_print(mp, ofp) */ + +#if MP_IOFUNC +/* + mp_print(mp, ofp) + + Print a textual representation of the given mp_int on the output + stream 'ofp'. Output is generated using the internal radix. + */ + +void mp_print(mp_int *mp, FILE *ofp) +{ + int ix; + + if(mp == NULL || ofp == NULL) + return; + + fputc((SIGN(mp) == MP_NEG) ? '-' : '+', ofp); + + for(ix = USED(mp) - 1; ix >= 0; ix--) { + fprintf(ofp, DIGIT_FMT, DIGIT(mp, ix)); + } + +} /* end mp_print() */ + +#endif /* if MP_IOFUNC */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* {{{ More I/O Functions */ + +/* {{{ mp_read_signed_bin(mp, str, len) */ + +/* + mp_read_signed_bin(mp, str, len) + + Read in a raw value (base 256) into the given mp_int + */ + +mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len) +{ + mp_err res; + + ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); + + if((res = mp_read_unsigned_bin(mp, str + 1, len - 1)) == MP_OKAY) { + /* Get sign from first byte */ + if(str[0]) + SIGN(mp) = MP_NEG; + else + SIGN(mp) = MP_ZPOS; + } + + return res; + +} /* end mp_read_signed_bin() */ + +/* }}} */ + +/* {{{ mp_signed_bin_size(mp) */ + +int mp_signed_bin_size(mp_int *mp) +{ + ARGCHK(mp != NULL, 0); + + return mp_unsigned_bin_size(mp) + 1; + +} /* end mp_signed_bin_size() */ + +/* }}} */ + +/* {{{ mp_to_signed_bin(mp, str) */ + +mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str) +{ + ARGCHK(mp != NULL && str != NULL, MP_BADARG); + + /* Caller responsible for allocating enough memory (use mp_raw_size(mp)) */ + str[0] = (char)SIGN(mp); + + return mp_to_unsigned_bin(mp, str + 1); + +} /* end mp_to_signed_bin() */ + +/* }}} */ + +/* {{{ mp_read_unsigned_bin(mp, str, len) */ + +/* + mp_read_unsigned_bin(mp, str, len) + + Read in an unsigned value (base 256) into the given mp_int + */ + +mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) +{ + int ix; + mp_err res; + + ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); + + mp_zero(mp); + + for(ix = 0; ix < len; ix++) { + if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) + return res; + + if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) + return res; + } + + return MP_OKAY; + +} /* end mp_read_unsigned_bin() */ + +/* }}} */ + +/* {{{ mp_unsigned_bin_size(mp) */ + +int mp_unsigned_bin_size(mp_int *mp) +{ + mp_digit topdig; + int count; + + ARGCHK(mp != NULL, 0); + + /* Special case for the value zero */ + if(USED(mp) == 1 && DIGIT(mp, 0) == 0) + return 1; + + count = (USED(mp) - 1) * sizeof(mp_digit); + topdig = DIGIT(mp, USED(mp) - 1); + + while(topdig != 0) { + ++count; + topdig >>= CHAR_BIT; + } + + return count; + +} /* end mp_unsigned_bin_size() */ + +/* }}} */ + +/* {{{ mp_to_unsigned_bin(mp, str) */ + +mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) +{ + mp_digit *dp, *end, d; + unsigned char *spos; + + ARGCHK(mp != NULL && str != NULL, MP_BADARG); + + dp = DIGITS(mp); + end = dp + USED(mp) - 1; + spos = str; + + /* Special case for zero, quick test */ + if(dp == end && *dp == 0) { + *str = '\0'; + return MP_OKAY; + } + + /* Generate digits in reverse order */ + while(dp < end) { + int ix; + + d = *dp; + for(ix = 0; ix < sizeof(mp_digit); ++ix) { + *spos = d & UCHAR_MAX; + d >>= CHAR_BIT; + ++spos; + } + + ++dp; + } + + /* Now handle last digit specially, high order zeroes are not written */ + d = *end; + while(d != 0) { + *spos = d & UCHAR_MAX; + d >>= CHAR_BIT; + ++spos; + } + + /* Reverse everything to get digits in the correct order */ + while(--spos > str) { + unsigned char t = *str; + *str = *spos; + *spos = t; + + ++str; + } + + return MP_OKAY; + +} /* end mp_to_unsigned_bin() */ + +/* }}} */ + +/* {{{ mp_count_bits(mp) */ + +int mp_count_bits(mp_int *mp) +{ + int len; + mp_digit d; + + ARGCHK(mp != NULL, MP_BADARG); + + len = DIGIT_BIT * (USED(mp) - 1); + d = DIGIT(mp, USED(mp) - 1); + + while(d != 0) { + ++len; + d >>= 1; + } + + return len; + +} /* end mp_count_bits() */ + +/* }}} */ + +/* {{{ mp_read_radix(mp, str, radix) */ + +/* + mp_read_radix(mp, str, radix) + + Read an integer from the given string, and set mp to the resulting + value. The input is presumed to be in base 10. Leading non-digit + characters are ignored, and the function reads until a non-digit + character or the end of the string. + */ + +mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) +{ + int ix = 0, val = 0; + mp_err res; + mp_sign sig = MP_ZPOS; + + ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, + MP_BADARG); + + mp_zero(mp); + + /* Skip leading non-digit characters until a digit or '-' or '+' */ + while(str[ix] && + (s_mp_tovalue(str[ix], radix) < 0) && + str[ix] != '-' && + str[ix] != '+') { + ++ix; + } + + if(str[ix] == '-') { + sig = MP_NEG; + ++ix; + } else if(str[ix] == '+') { + sig = MP_ZPOS; /* this is the default anyway... */ + ++ix; + } + + while((val = s_mp_tovalue(str[ix], radix)) >= 0) { + if((res = s_mp_mul_d(mp, radix)) != MP_OKAY) + return res; + if((res = s_mp_add_d(mp, val)) != MP_OKAY) + return res; + ++ix; + } + + if(s_mp_cmp_d(mp, 0) == MP_EQ) + SIGN(mp) = MP_ZPOS; + else + SIGN(mp) = sig; + + return MP_OKAY; + +} /* end mp_read_radix() */ + +/* }}} */ + +/* {{{ mp_radix_size(mp, radix) */ + +int mp_radix_size(mp_int *mp, int radix) +{ + int len; + ARGCHK(mp != NULL, 0); + + len = s_mp_outlen(mp_count_bits(mp), radix) + 1; /* for NUL terminator */ + + if(mp_cmp_z(mp) < 0) + ++len; /* for sign */ + + return len; + +} /* end mp_radix_size() */ + +/* }}} */ + +/* {{{ mp_value_radix_size(num, qty, radix) */ + +/* num = number of digits + qty = number of bits per digit + radix = target base + + Return the number of digits in the specified radix that would be + needed to express 'num' digits of 'qty' bits each. + */ +int mp_value_radix_size(int num, int qty, int radix) +{ + ARGCHK(num >= 0 && qty > 0 && radix >= 2 && radix <= MAX_RADIX, 0); + + return s_mp_outlen(num * qty, radix); + +} /* end mp_value_radix_size() */ + +/* }}} */ + +/* {{{ mp_toradix(mp, str, radix) */ + +mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) +{ + int ix, pos = 0; + + ARGCHK(mp != NULL && str != NULL, MP_BADARG); + ARGCHK(radix > 1 && radix <= MAX_RADIX, MP_RANGE); + + if(mp_cmp_z(mp) == MP_EQ) { + str[0] = '0'; + str[1] = '\0'; + } else { + mp_err res; + mp_int tmp; + mp_sign sgn; + mp_digit rem, rdx = (mp_digit)radix; + char ch; + + if((res = mp_init_copy(&tmp, mp)) != MP_OKAY) + return res; + + /* Save sign for later, and take absolute value */ + sgn = SIGN(&tmp); SIGN(&tmp) = MP_ZPOS; + + /* Generate output digits in reverse order */ + while(mp_cmp_z(&tmp) != 0) { + if((res = s_mp_div_d(&tmp, rdx, &rem)) != MP_OKAY) { + mp_clear(&tmp); + return res; + } + + /* Generate digits, use capital letters */ + ch = s_mp_todigit(rem, radix, 0); + + str[pos++] = ch; + } + + /* Add - sign if original value was negative */ + if(sgn == MP_NEG) + str[pos++] = '-'; + + /* Add trailing NUL to end the string */ + str[pos--] = '\0'; + + /* Reverse the digits and sign indicator */ + ix = 0; + while(ix < pos) { + char tmp = str[ix]; + + str[ix] = str[pos]; + str[pos] = tmp; + ++ix; + --pos; + } + + mp_clear(&tmp); + } + + return MP_OKAY; + +} /* end mp_toradix() */ + +/* }}} */ + +/* {{{ mp_char2value(ch, r) */ + +int mp_char2value(char ch, int r) +{ + return s_mp_tovalue(ch, r); + +} /* end mp_tovalue() */ + +/* }}} */ + +/* }}} */ + +/* {{{ mp_strerror(ec) */ + +/* + mp_strerror(ec) + + Return a string describing the meaning of error code 'ec'. The + string returned is allocated in static memory, so the caller should + not attempt to modify or free the memory associated with this + string. + */ +const char *mp_strerror(mp_err ec) +{ + int aec = (ec < 0) ? -ec : ec; + + /* Code values are negative, so the senses of these comparisons + are accurate */ + if(ec < MP_LAST_CODE || ec > MP_OKAY) { + return mp_err_string[0]; /* unknown error code */ + } else { + return mp_err_string[aec + 1]; + } + +} /* end mp_strerror() */ + +/* }}} */ + +/*========================================================================*/ +/*------------------------------------------------------------------------*/ +/* Static function definitions (internal use only) */ + +/* {{{ Memory management */ + +/* {{{ s_mp_grow(mp, min) */ + +/* Make sure there are at least 'min' digits allocated to mp */ +mp_err s_mp_grow(mp_int *mp, mp_size min) +{ + if(min > ALLOC(mp)) { + mp_digit *tmp; + + /* Set min to next nearest default precision block size */ + min = ((min + (s_mp_defprec - 1)) / s_mp_defprec) * s_mp_defprec; + + if((tmp = s_mp_alloc(min, sizeof(mp_digit))) == NULL) + return MP_MEM; + + s_mp_copy(DIGITS(mp), tmp, USED(mp)); + +#if MP_CRYPTO + s_mp_setz(DIGITS(mp), ALLOC(mp)); +#endif + s_mp_free(DIGITS(mp)); + DIGITS(mp) = tmp; + ALLOC(mp) = min; + } + + return MP_OKAY; + +} /* end s_mp_grow() */ + +/* }}} */ + +/* {{{ s_mp_pad(mp, min) */ + +/* Make sure the used size of mp is at least 'min', growing if needed */ +mp_err s_mp_pad(mp_int *mp, mp_size min) +{ + if(min > USED(mp)) { + mp_err res; + + /* Make sure there is room to increase precision */ + if(min > ALLOC(mp) && (res = s_mp_grow(mp, min)) != MP_OKAY) + return res; + + /* Increase precision; should already be 0-filled */ + USED(mp) = min; + } + + return MP_OKAY; + +} /* end s_mp_pad() */ + +/* }}} */ + +/* {{{ s_mp_setz(dp, count) */ + +#if MP_MACRO == 0 +/* Set 'count' digits pointed to by dp to be zeroes */ +void s_mp_setz(mp_digit *dp, mp_size count) +{ +#if MP_MEMSET == 0 + int ix; + + for(ix = 0; ix < count; ix++) + dp[ix] = 0; +#else + memset(dp, 0, count * sizeof(mp_digit)); +#endif + +} /* end s_mp_setz() */ +#endif + +/* }}} */ + +/* {{{ s_mp_copy(sp, dp, count) */ + +#if MP_MACRO == 0 +/* Copy 'count' digits from sp to dp */ +void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count) +{ +#if MP_MEMCPY == 0 + int ix; + + for(ix = 0; ix < count; ix++) + dp[ix] = sp[ix]; +#else + memcpy(dp, sp, count * sizeof(mp_digit)); +#endif + +} /* end s_mp_copy() */ +#endif + +/* }}} */ + +/* {{{ s_mp_alloc(nb, ni) */ + +#if MP_MACRO == 0 +/* Allocate ni records of nb bytes each, and return a pointer to that */ +void *s_mp_alloc(size_t nb, size_t ni) +{ + return calloc(nb, ni); + +} /* end s_mp_alloc() */ +#endif + +/* }}} */ + +/* {{{ s_mp_free(ptr) */ + +#if MP_MACRO == 0 +/* Free the memory pointed to by ptr */ +void s_mp_free(void *ptr) +{ + if(ptr) + free(ptr); + +} /* end s_mp_free() */ +#endif + +/* }}} */ + +/* {{{ s_mp_clamp(mp) */ + +/* Remove leading zeroes from the given value */ +void s_mp_clamp(mp_int *mp) +{ + mp_size du = USED(mp); + mp_digit *zp = DIGITS(mp) + du - 1; + + while(du > 1 && !*zp--) + --du; + + USED(mp) = du; + +} /* end s_mp_clamp() */ + + +/* }}} */ + +/* {{{ s_mp_exch(a, b) */ + +/* Exchange the data for a and b; (b, a) = (a, b) */ +void s_mp_exch(mp_int *a, mp_int *b) +{ + mp_int tmp; + + tmp = *a; + *a = *b; + *b = tmp; + +} /* end s_mp_exch() */ + +/* }}} */ + +/* }}} */ + +/* {{{ Arithmetic helpers */ + +/* {{{ s_mp_lshd(mp, p) */ + +/* + Shift mp leftward by p digits, growing if needed, and zero-filling + the in-shifted digits at the right end. This is a convenient + alternative to multiplication by powers of the radix + */ + +mp_err s_mp_lshd(mp_int *mp, mp_size p) +{ + mp_err res; + mp_size pos; + mp_digit *dp; + int ix; + + if(p == 0) + return MP_OKAY; + + if((res = s_mp_pad(mp, USED(mp) + p)) != MP_OKAY) + return res; + + pos = USED(mp) - 1; + dp = DIGITS(mp); + + /* Shift all the significant figures over as needed */ + for(ix = pos - p; ix >= 0; ix--) + dp[ix + p] = dp[ix]; + + /* Fill the bottom digits with zeroes */ + for(ix = 0; ix < p; ix++) + dp[ix] = 0; + + return MP_OKAY; + +} /* end s_mp_lshd() */ + +/* }}} */ + +/* {{{ s_mp_rshd(mp, p) */ + +/* + Shift mp rightward by p digits. Maintains the invariant that + digits above the precision are all zero. Digits shifted off the + end are lost. Cannot fail. + */ + +void s_mp_rshd(mp_int *mp, mp_size p) +{ + mp_size ix; + mp_digit *dp; + + if(p == 0) + return; + + /* Shortcut when all digits are to be shifted off */ + if(p >= USED(mp)) { + s_mp_setz(DIGITS(mp), ALLOC(mp)); + USED(mp) = 1; + SIGN(mp) = MP_ZPOS; + return; + } + + /* Shift all the significant figures over as needed */ + dp = DIGITS(mp); + for(ix = p; ix < USED(mp); ix++) + dp[ix - p] = dp[ix]; + + /* Fill the top digits with zeroes */ + ix -= p; + while(ix < USED(mp)) + dp[ix++] = 0; + + /* Strip off any leading zeroes */ + s_mp_clamp(mp); + +} /* end s_mp_rshd() */ + +/* }}} */ + +/* {{{ s_mp_div_2(mp) */ + +/* Divide by two -- take advantage of radix properties to do it fast */ +void s_mp_div_2(mp_int *mp) +{ + s_mp_div_2d(mp, 1); + +} /* end s_mp_div_2() */ + +/* }}} */ + +/* {{{ s_mp_mul_2(mp) */ + +mp_err s_mp_mul_2(mp_int *mp) +{ + int ix; + mp_digit kin = 0, kout, *dp = DIGITS(mp); + mp_err res; + + /* Shift digits leftward by 1 bit */ + for(ix = 0; ix < USED(mp); ix++) { + kout = (dp[ix] >> (DIGIT_BIT - 1)) & 1; + dp[ix] = (dp[ix] << 1) | kin; + + kin = kout; + } + + /* Deal with rollover from last digit */ + if(kin) { + if(ix >= ALLOC(mp)) { + if((res = s_mp_grow(mp, ALLOC(mp) + 1)) != MP_OKAY) + return res; + dp = DIGITS(mp); + } + + dp[ix] = kin; + USED(mp) += 1; + } + + return MP_OKAY; + +} /* end s_mp_mul_2() */ + +/* }}} */ + +/* {{{ s_mp_mod_2d(mp, d) */ + +/* + Remainder the integer by 2^d, where d is a number of bits. This + amounts to a bitwise AND of the value, and does not require the full + division code + */ +void s_mp_mod_2d(mp_int *mp, mp_digit d) +{ + unsigned int ndig = (d / DIGIT_BIT), nbit = (d % DIGIT_BIT); + unsigned int ix; + mp_digit dmask, *dp = DIGITS(mp); + + if(ndig >= USED(mp)) + return; + + /* Flush all the bits above 2^d in its digit */ + dmask = (1 << nbit) - 1; + dp[ndig] &= dmask; + + /* Flush all digits above the one with 2^d in it */ + for(ix = ndig + 1; ix < USED(mp); ix++) + dp[ix] = 0; + + s_mp_clamp(mp); + +} /* end s_mp_mod_2d() */ + +/* }}} */ + +/* {{{ s_mp_mul_2d(mp, d) */ + +/* + Multiply by the integer 2^d, where d is a number of bits. This + amounts to a bitwise shift of the value, and does not require the + full multiplication code. + */ +mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) +{ + mp_err res; + mp_digit save, next, mask, *dp; + mp_size used; + int ix; + + if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) + return res; + + dp = DIGITS(mp); used = USED(mp); + d %= DIGIT_BIT; + + mask = (1 << d) - 1; + + /* If the shift requires another digit, make sure we've got one to + work with */ + if((dp[used - 1] >> (DIGIT_BIT - d)) & mask) { + if((res = s_mp_grow(mp, used + 1)) != MP_OKAY) + return res; + dp = DIGITS(mp); + } + + /* Do the shifting... */ + save = 0; + for(ix = 0; ix < used; ix++) { + next = (dp[ix] >> (DIGIT_BIT - d)) & mask; + dp[ix] = (dp[ix] << d) | save; + save = next; + } + + /* If, at this point, we have a nonzero carryout into the next + digit, we'll increase the size by one digit, and store it... + */ + if(save) { + dp[used] = save; + USED(mp) += 1; + } + + s_mp_clamp(mp); + return MP_OKAY; + +} /* end s_mp_mul_2d() */ + +/* }}} */ + +/* {{{ s_mp_div_2d(mp, d) */ + +/* + Divide the integer by 2^d, where d is a number of bits. This + amounts to a bitwise shift of the value, and does not require the + full division code (used in Barrett reduction, see below) + */ +void s_mp_div_2d(mp_int *mp, mp_digit d) +{ + int ix; + mp_digit save, next, mask, *dp = DIGITS(mp); + + s_mp_rshd(mp, d / DIGIT_BIT); + d %= DIGIT_BIT; + + mask = (1 << d) - 1; + + save = 0; + for(ix = USED(mp) - 1; ix >= 0; ix--) { + next = dp[ix] & mask; + dp[ix] = (dp[ix] >> d) | (save << (DIGIT_BIT - d)); + save = next; + } + + s_mp_clamp(mp); + +} /* end s_mp_div_2d() */ + +/* }}} */ + +/* {{{ s_mp_norm(a, b) */ + +/* + s_mp_norm(a, b) + + Normalize a and b for division, where b is the divisor. In order + that we might make good guesses for quotient digits, we want the + leading digit of b to be at least half the radix, which we + accomplish by multiplying a and b by a constant. This constant is + returned (so that it can be divided back out of the remainder at the + end of the division process). + + We multiply by the smallest power of 2 that gives us a leading digit + at least half the radix. By choosing a power of 2, we simplify the + multiplication and division steps to simple shifts. + */ +mp_digit s_mp_norm(mp_int *a, mp_int *b) +{ + mp_digit t, d = 0; + + t = DIGIT(b, USED(b) - 1); + while(t < (RADIX / 2)) { + t <<= 1; + ++d; + } + + if(d != 0) { + s_mp_mul_2d(a, d); + s_mp_mul_2d(b, d); + } + + return d; + +} /* end s_mp_norm() */ + +/* }}} */ + +/* }}} */ + +/* {{{ Primitive digit arithmetic */ + +/* {{{ s_mp_add_d(mp, d) */ + +/* Add d to |mp| in place */ +mp_err s_mp_add_d(mp_int *mp, mp_digit d) /* unsigned digit addition */ +{ + mp_word w, k = 0; + mp_size ix = 1, used = USED(mp); + mp_digit *dp = DIGITS(mp); + + w = dp[0] + d; + dp[0] = ACCUM(w); + k = CARRYOUT(w); + + while(ix < used && k) { + w = dp[ix] + k; + dp[ix] = ACCUM(w); + k = CARRYOUT(w); + ++ix; + } + + if(k != 0) { + mp_err res; + + if((res = s_mp_pad(mp, USED(mp) + 1)) != MP_OKAY) + return res; + + DIGIT(mp, ix) = k; + } + + return MP_OKAY; + +} /* end s_mp_add_d() */ + +/* }}} */ + +/* {{{ s_mp_sub_d(mp, d) */ + +/* Subtract d from |mp| in place, assumes |mp| > d */ +mp_err s_mp_sub_d(mp_int *mp, mp_digit d) /* unsigned digit subtract */ +{ + mp_word w, b = 0; + mp_size ix = 1, used = USED(mp); + mp_digit *dp = DIGITS(mp); + + /* Compute initial subtraction */ + w = (RADIX + dp[0]) - d; + b = CARRYOUT(w) ? 0 : 1; + dp[0] = ACCUM(w); + + /* Propagate borrows leftward */ + while(b && ix < used) { + w = (RADIX + dp[ix]) - b; + b = CARRYOUT(w) ? 0 : 1; + dp[ix] = ACCUM(w); + ++ix; + } + + /* Remove leading zeroes */ + s_mp_clamp(mp); + + /* If we have a borrow out, it's a violation of the input invariant */ + if(b) + return MP_RANGE; + else + return MP_OKAY; + +} /* end s_mp_sub_d() */ + +/* }}} */ + +/* {{{ s_mp_mul_d(a, d) */ + +/* Compute a = a * d, single digit multiplication */ +mp_err s_mp_mul_d(mp_int *a, mp_digit d) +{ + mp_word w, k = 0; + mp_size ix, max; + mp_err res; + mp_digit *dp = DIGITS(a); + + /* + Single-digit multiplication will increase the precision of the + output by at most one digit. However, we can detect when this + will happen -- if the high-order digit of a, times d, gives a + two-digit result, then the precision of the result will increase; + otherwise it won't. We use this fact to avoid calling s_mp_pad() + unless absolutely necessary. + */ + max = USED(a); + w = dp[max - 1] * d; + if(CARRYOUT(w) != 0) { + if((res = s_mp_pad(a, max + 1)) != MP_OKAY) + return res; + dp = DIGITS(a); + } + + for(ix = 0; ix < max; ix++) { + w = (dp[ix] * d) + k; + dp[ix] = ACCUM(w); + k = CARRYOUT(w); + } + + /* If there is a precision increase, take care of it here; the above + test guarantees we have enough storage to do this safely. + */ + if(k) { + dp[max] = k; + USED(a) = max + 1; + } + + s_mp_clamp(a); + + return MP_OKAY; + +} /* end s_mp_mul_d() */ + +/* }}} */ + +/* {{{ s_mp_div_d(mp, d, r) */ + +/* + s_mp_div_d(mp, d, r) + + Compute the quotient mp = mp / d and remainder r = mp mod d, for a + single digit d. If r is null, the remainder will be discarded. + */ + +mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r) +{ + mp_word w = 0, t; + mp_int quot; + mp_err res; + mp_digit *dp = DIGITS(mp), *qp; + int ix; + + if(d == 0) + return MP_RANGE; + + /* Make room for the quotient */ + if((res = mp_init_size(", USED(mp))) != MP_OKAY) + return res; + + USED(") = USED(mp); /* so clamping will work below */ + qp = DIGITS("); + + /* Divide without subtraction */ + for(ix = USED(mp) - 1; ix >= 0; ix--) { + w = (w << DIGIT_BIT) | dp[ix]; + + if(w >= d) { + t = w / d; + w = w % d; + } else { + t = 0; + } + + qp[ix] = t; + } + + /* Deliver the remainder, if desired */ + if(r) + *r = w; + + s_mp_clamp("); + mp_exch(", mp); + mp_clear("); + + return MP_OKAY; + +} /* end s_mp_div_d() */ + +/* }}} */ + +/* }}} */ + +/* {{{ Primitive full arithmetic */ + +/* {{{ s_mp_add(a, b) */ + +/* Compute a = |a| + |b| */ +mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ +{ + mp_word w = 0; + mp_digit *pa, *pb; + mp_size ix, used = USED(b); + mp_err res; + + /* Make sure a has enough precision for the output value */ + if((used > USED(a)) && (res = s_mp_pad(a, used)) != MP_OKAY) + return res; + + /* + Add up all digits up to the precision of b. If b had initially + the same precision as a, or greater, we took care of it by the + padding step above, so there is no problem. If b had initially + less precision, we'll have to make sure the carry out is duly + propagated upward among the higher-order digits of the sum. + */ + pa = DIGITS(a); + pb = DIGITS(b); + for(ix = 0; ix < used; ++ix) { + w += *pa + *pb++; + *pa++ = ACCUM(w); + w = CARRYOUT(w); + } + + /* If we run out of 'b' digits before we're actually done, make + sure the carries get propagated upward... + */ + used = USED(a); + while(w && ix < used) { + w += *pa; + *pa++ = ACCUM(w); + w = CARRYOUT(w); + ++ix; + } + + /* If there's an overall carry out, increase precision and include + it. We could have done this initially, but why touch the memory + allocator unless we're sure we have to? + */ + if(w) { + if((res = s_mp_pad(a, used + 1)) != MP_OKAY) + return res; + + DIGIT(a, ix) = w; /* pa may not be valid after s_mp_pad() call */ + } + + return MP_OKAY; + +} /* end s_mp_add() */ + +/* }}} */ + +/* {{{ s_mp_sub(a, b) */ + +/* Compute a = |a| - |b|, assumes |a| >= |b| */ +mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ +{ + mp_word w = 0; + mp_digit *pa, *pb; + mp_size ix, used = USED(b); + + /* + Subtract and propagate borrow. Up to the precision of b, this + accounts for the digits of b; after that, we just make sure the + carries get to the right place. This saves having to pad b out to + the precision of a just to make the loops work right... + */ + pa = DIGITS(a); + pb = DIGITS(b); + + for(ix = 0; ix < used; ++ix) { + w = (RADIX + *pa) - w - *pb++; + *pa++ = ACCUM(w); + w = CARRYOUT(w) ? 0 : 1; + } + + used = USED(a); + while(ix < used) { + w = RADIX + *pa - w; + *pa++ = ACCUM(w); + w = CARRYOUT(w) ? 0 : 1; + ++ix; + } + + /* Clobber any leading zeroes we created */ + s_mp_clamp(a); + + /* + If there was a borrow out, then |b| > |a| in violation + of our input invariant. We've already done the work, + but we'll at least complain about it... + */ + if(w) + return MP_RANGE; + else + return MP_OKAY; + +} /* end s_mp_sub() */ + +/* }}} */ + +mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) +{ + mp_int q; + mp_err res; + mp_size um = USED(m); + + if((res = mp_init_copy(&q, x)) != MP_OKAY) + return res; + + s_mp_rshd(&q, um - 1); /* q1 = x / b^(k-1) */ + s_mp_mul(&q, mu); /* q2 = q1 * mu */ + s_mp_rshd(&q, um + 1); /* q3 = q2 / b^(k+1) */ + + /* x = x mod b^(k+1), quick (no division) */ + s_mp_mod_2d(x, (mp_digit)(DIGIT_BIT * (um + 1))); + + /* q = q * m mod b^(k+1), quick (no division), uses the short multiplier */ +#ifndef SHRT_MUL + s_mp_mul(&q, m); + s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); +#else + s_mp_mul_dig(&q, m, um + 1); +#endif + + /* x = x - q */ + if((res = mp_sub(x, &q, x)) != MP_OKAY) + goto CLEANUP; + + /* If x < 0, add b^(k+1) to it */ + if(mp_cmp_z(x) < 0) { + mp_set(&q, 1); + if((res = s_mp_lshd(&q, um + 1)) != MP_OKAY) + goto CLEANUP; + if((res = mp_add(x, &q, x)) != MP_OKAY) + goto CLEANUP; + } + + /* Back off if it's too big */ + while(mp_cmp(x, m) >= 0) { + if((res = s_mp_sub(x, m)) != MP_OKAY) + break; + } + + CLEANUP: + mp_clear(&q); + + return res; + +} /* end s_mp_reduce() */ + + + +/* {{{ s_mp_mul(a, b) */ + +/* Compute a = |a| * |b| */ +mp_err s_mp_mul(mp_int *a, mp_int *b) +{ + mp_word w, k = 0; + mp_int tmp; + mp_err res; + mp_size ix, jx, ua = USED(a), ub = USED(b); + mp_digit *pa, *pb, *pt, *pbt; + + if((res = mp_init_size(&tmp, ua + ub)) != MP_OKAY) + return res; + + /* This has the effect of left-padding with zeroes... */ + USED(&tmp) = ua + ub; + + /* We're going to need the base value each iteration */ + pbt = DIGITS(&tmp); + + /* Outer loop: Digits of b */ + + pb = DIGITS(b); + for(ix = 0; ix < ub; ++ix, ++pb) { + if(*pb == 0) + continue; + + /* Inner product: Digits of a */ + pa = DIGITS(a); + for(jx = 0; jx < ua; ++jx, ++pa) { + pt = pbt + ix + jx; + w = *pb * *pa + k + *pt; + *pt = ACCUM(w); + k = CARRYOUT(w); + } + + pbt[ix + jx] = k; + k = 0; + } + + s_mp_clamp(&tmp); + s_mp_exch(&tmp, a); + + mp_clear(&tmp); + + return MP_OKAY; + +} /* end s_mp_mul() */ + +/* }}} */ + +/* {{{ s_mp_kmul(a, b, out, len) */ + +#if 0 +void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) +{ + mp_word w, k = 0; + mp_size ix, jx; + mp_digit *pa, *pt; + + for(ix = 0; ix < len; ++ix, ++b) { + if(*b == 0) + continue; + + pa = a; + for(jx = 0; jx < len; ++jx, ++pa) { + pt = out + ix + jx; + w = *b * *pa + k + *pt; + *pt = ACCUM(w); + k = CARRYOUT(w); + } + + out[ix + jx] = k; + k = 0; + } + +} /* end s_mp_kmul() */ +#endif + +/* }}} */ + +/* {{{ s_mp_sqr(a) */ + +/* + Computes the square of a, in place. This can be done more + efficiently than a general multiplication, because many of the + computation steps are redundant when squaring. The inner product + step is a bit more complicated, but we save a fair number of + iterations of the multiplication loop. + */ +#if MP_SQUARE +mp_err s_mp_sqr(mp_int *a) +{ + mp_word w, k = 0; + mp_int tmp; + mp_err res; + mp_size ix, jx, kx, used = USED(a); + mp_digit *pa1, *pa2, *pt, *pbt; + + if((res = mp_init_size(&tmp, 2 * used)) != MP_OKAY) + return res; + + /* Left-pad with zeroes */ + USED(&tmp) = 2 * used; + + /* We need the base value each time through the loop */ + pbt = DIGITS(&tmp); + + pa1 = DIGITS(a); + for(ix = 0; ix < used; ++ix, ++pa1) { + if(*pa1 == 0) + continue; + + w = DIGIT(&tmp, ix + ix) + (*pa1 * *pa1); + + pbt[ix + ix] = ACCUM(w); + k = CARRYOUT(w); + + /* + The inner product is computed as: + + (C, S) = t[i,j] + 2 a[i] a[j] + C + + This can overflow what can be represented in an mp_word, and + since C arithmetic does not provide any way to check for + overflow, we have to check explicitly for overflow conditions + before they happen. + */ + for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { + mp_word u = 0, v; + + /* Store this in a temporary to avoid indirections later */ + pt = pbt + ix + jx; + + /* Compute the multiplicative step */ + w = *pa1 * *pa2; + + /* If w is more than half MP_WORD_MAX, the doubling will + overflow, and we need to record a carry out into the next + word */ + u = (w >> (MP_WORD_BIT - 1)) & 1; + + /* Double what we've got, overflow will be ignored as defined + for C arithmetic (we've already noted if it is to occur) + */ + w *= 2; + + /* Compute the additive step */ + v = *pt + k; + + /* If we do not already have an overflow carry, check to see + if the addition will cause one, and set the carry out if so + */ + u |= ((MP_WORD_MAX - v) < w); + + /* Add in the rest, again ignoring overflow */ + w += v; + + /* Set the i,j digit of the output */ + *pt = ACCUM(w); + + /* Save carry information for the next iteration of the loop. + This is why k must be an mp_word, instead of an mp_digit */ + k = CARRYOUT(w) | (u << DIGIT_BIT); + + } /* for(jx ...) */ + + /* Set the last digit in the cycle and reset the carry */ + k = DIGIT(&tmp, ix + jx) + k; + pbt[ix + jx] = ACCUM(k); + k = CARRYOUT(k); + + /* If we are carrying out, propagate the carry to the next digit + in the output. This may cascade, so we have to be somewhat + circumspect -- but we will have enough precision in the output + that we won't overflow + */ + kx = 1; + while(k) { + k = pbt[ix + jx + kx] + 1; + pbt[ix + jx + kx] = ACCUM(k); + k = CARRYOUT(k); + ++kx; + } + } /* for(ix ...) */ + + s_mp_clamp(&tmp); + s_mp_exch(&tmp, a); + + mp_clear(&tmp); + + return MP_OKAY; + +} /* end s_mp_sqr() */ +#endif + +/* }}} */ + +/* {{{ s_mp_div(a, b) */ + +/* + s_mp_div(a, b) + + Compute a = a / b and b = a mod b. Assumes b > a. + */ + +mp_err s_mp_div(mp_int *a, mp_int *b) +{ + mp_int quot, rem, t; + mp_word q; + mp_err res; + mp_digit d; + int ix; + + if(mp_cmp_z(b) == 0) + return MP_RANGE; + + /* Shortcut if b is power of two */ + if((ix = s_mp_ispow2(b)) >= 0) { + mp_copy(a, b); /* need this for remainder */ + s_mp_div_2d(a, (mp_digit)ix); + s_mp_mod_2d(b, (mp_digit)ix); + + return MP_OKAY; + } + + /* Allocate space to store the quotient */ + if((res = mp_init_size(", USED(a))) != MP_OKAY) + return res; + + /* A working temporary for division */ + if((res = mp_init_size(&t, USED(a))) != MP_OKAY) + goto T; + + /* Allocate space for the remainder */ + if((res = mp_init_size(&rem, USED(a))) != MP_OKAY) + goto REM; + + /* Normalize to optimize guessing */ + d = s_mp_norm(a, b); + + /* Perform the division itself...woo! */ + ix = USED(a) - 1; + + while(ix >= 0) { + /* Find a partial substring of a which is at least b */ + while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { + if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) + goto CLEANUP; + + if((res = s_mp_lshd(", 1)) != MP_OKAY) + goto CLEANUP; + + DIGIT(&rem, 0) = DIGIT(a, ix); + s_mp_clamp(&rem); + --ix; + } + + /* If we didn't find one, we're finished dividing */ + if(s_mp_cmp(&rem, b) < 0) + break; + + /* Compute a guess for the next quotient digit */ + q = DIGIT(&rem, USED(&rem) - 1); + if(q <= DIGIT(b, USED(b) - 1) && USED(&rem) > 1) + q = (q << DIGIT_BIT) | DIGIT(&rem, USED(&rem) - 2); + + q /= DIGIT(b, USED(b) - 1); + + /* The guess can be as much as RADIX + 1 */ + if(q >= RADIX) + q = RADIX - 1; + + /* See what that multiplies out to */ + mp_copy(b, &t); + if((res = s_mp_mul_d(&t, q)) != MP_OKAY) + goto CLEANUP; + + /* + If it's too big, back it off. We should not have to do this + more than once, or, in rare cases, twice. Knuth describes a + method by which this could be reduced to a maximum of once, but + I didn't implement that here. + */ + while(s_mp_cmp(&t, &rem) > 0) { + --q; + s_mp_sub(&t, b); + } + + /* At this point, q should be the right next digit */ + if((res = s_mp_sub(&rem, &t)) != MP_OKAY) + goto CLEANUP; + + /* + Include the digit in the quotient. We allocated enough memory + for any quotient we could ever possibly get, so we should not + have to check for failures here + */ + DIGIT(", 0) = q; + } + + /* Denormalize remainder */ + if(d != 0) + s_mp_div_2d(&rem, d); + + s_mp_clamp("); + s_mp_clamp(&rem); + + /* Copy quotient back to output */ + s_mp_exch(", a); + + /* Copy remainder back to output */ + s_mp_exch(&rem, b); + +CLEANUP: + mp_clear(&rem); +REM: + mp_clear(&t); +T: + mp_clear("); + + return res; + +} /* end s_mp_div() */ + +/* }}} */ + +/* {{{ s_mp_2expt(a, k) */ + +mp_err s_mp_2expt(mp_int *a, mp_digit k) +{ + mp_err res; + mp_size dig, bit; + + dig = k / DIGIT_BIT; + bit = k % DIGIT_BIT; + + mp_zero(a); + if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) + return res; + + DIGIT(a, dig) |= (1 << bit); + + return MP_OKAY; + +} /* end s_mp_2expt() */ + +/* }}} */ + + +/* }}} */ + +/* }}} */ + +/* {{{ Primitive comparisons */ + +/* {{{ s_mp_cmp(a, b) */ + +/* Compare |a| <=> |b|, return 0 if equal, <0 if a<b, >0 if a>b */ +int s_mp_cmp(mp_int *a, mp_int *b) +{ + mp_size ua = USED(a), ub = USED(b); + + if(ua > ub) + return MP_GT; + else if(ua < ub) + return MP_LT; + else { + int ix = ua - 1; + mp_digit *ap = DIGITS(a) + ix, *bp = DIGITS(b) + ix; + + while(ix >= 0) { + if(*ap > *bp) + return MP_GT; + else if(*ap < *bp) + return MP_LT; + + --ap; --bp; --ix; + } + + return MP_EQ; + } + +} /* end s_mp_cmp() */ + +/* }}} */ + +/* {{{ s_mp_cmp_d(a, d) */ + +/* Compare |a| <=> d, return 0 if equal, <0 if a<d, >0 if a>d */ +int s_mp_cmp_d(mp_int *a, mp_digit d) +{ + mp_size ua = USED(a); + mp_digit *ap = DIGITS(a); + + if(ua > 1) + return MP_GT; + + if(*ap < d) + return MP_LT; + else if(*ap > d) + return MP_GT; + else + return MP_EQ; + +} /* end s_mp_cmp_d() */ + +/* }}} */ + +/* {{{ s_mp_ispow2(v) */ + +/* + Returns -1 if the value is not a power of two; otherwise, it returns + k such that v = 2^k, i.e. lg(v). + */ +int s_mp_ispow2(mp_int *v) +{ + mp_digit d, *dp; + mp_size uv = USED(v); + int extra = 0, ix; + + d = DIGIT(v, uv - 1); /* most significant digit of v */ + + while(d && ((d & 1) == 0)) { + d >>= 1; + ++extra; + } + + if(d == 1) { + ix = uv - 2; + dp = DIGITS(v) + ix; + + while(ix >= 0) { + if(*dp) + return -1; /* not a power of two */ + + --dp; --ix; + } + + return ((uv - 1) * DIGIT_BIT) + extra; + } + + return -1; + +} /* end s_mp_ispow2() */ + +/* }}} */ + +/* {{{ s_mp_ispow2d(d) */ + +int s_mp_ispow2d(mp_digit d) +{ + int pow = 0; + + while((d & 1) == 0) { + ++pow; d >>= 1; + } + + if(d == 1) + return pow; + + return -1; + +} /* end s_mp_ispow2d() */ + +/* }}} */ + +/* }}} */ + +/* {{{ Primitive I/O helpers */ + +/* {{{ s_mp_tovalue(ch, r) */ + +/* + Convert the given character to its digit value, in the given radix. + If the given character is not understood in the given radix, -1 is + returned. Otherwise the digit's numeric value is returned. + + The results will be odd if you use a radix < 2 or > 62, you are + expected to know what you're up to. + */ +int s_mp_tovalue(char ch, int r) +{ + int val, xch; + + if(r > 36) + xch = ch; + else + xch = toupper(ch); + + if(isdigit(xch)) + val = xch - '0'; + else if(isupper(xch)) + val = xch - 'A' + 10; + else if(islower(xch)) + val = xch - 'a' + 36; + else if(xch == '+') + val = 62; + else if(xch == '/') + val = 63; + else + return -1; + + if(val < 0 || val >= r) + return -1; + + return val; + +} /* end s_mp_tovalue() */ + +/* }}} */ + +/* {{{ s_mp_todigit(val, r, low) */ + +/* + Convert val to a radix-r digit, if possible. If val is out of range + for r, returns zero. Otherwise, returns an ASCII character denoting + the value in the given radix. + + The results may be odd if you use a radix < 2 or > 64, you are + expected to know what you're doing. + */ + +char s_mp_todigit(int val, int r, int low) +{ + char ch; + + if(val < 0 || val >= r) + return 0; + + ch = s_dmap_1[val]; + + if(r <= 36 && low) + ch = tolower(ch); + + return ch; + +} /* end s_mp_todigit() */ + +/* }}} */ + +/* {{{ s_mp_outlen(bits, radix) */ + +/* + Return an estimate for how long a string is needed to hold a radix + r representation of a number with 'bits' significant bits. + + Does not include space for a sign or a NUL terminator. + */ +int s_mp_outlen(int bits, int r) +{ + return (int)((double)bits * LOG_V_2(r)); + +} /* end s_mp_outlen() */ + +/* }}} */ + +/* }}} */ + +/*------------------------------------------------------------------------*/ +/* HERE THERE BE DRAGONS */ +/* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ + +/* $Source: /cvs/libtom/libtommath/mtest/mpi.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.h b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.h new file mode 100644 index 0000000000..66ae873111 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/mpi.h @@ -0,0 +1,231 @@ +/* + mpi.h + + by Michael J. Fromberger <sting@linguist.dartmouth.edu> + Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved + + Arbitrary precision integer arithmetic library + + $Id: mpi.h,v 1.2 2005/05/05 14:38:47 tom Exp $ + */ + +#ifndef _H_MPI_ +#define _H_MPI_ + +#include "mpi-config.h" + +#define MP_LT -1 +#define MP_EQ 0 +#define MP_GT 1 + +#if MP_DEBUG +#undef MP_IOFUNC +#define MP_IOFUNC 1 +#endif + +#if MP_IOFUNC +#include <stdio.h> +#include <ctype.h> +#endif + +#include <limits.h> + +#define MP_NEG 1 +#define MP_ZPOS 0 + +/* Included for compatibility... */ +#define NEG MP_NEG +#define ZPOS MP_ZPOS + +#define MP_OKAY 0 /* no error, all is well */ +#define MP_YES 0 /* yes (boolean result) */ +#define MP_NO -1 /* no (boolean result) */ +#define MP_MEM -2 /* out of memory */ +#define MP_RANGE -3 /* argument out of range */ +#define MP_BADARG -4 /* invalid parameter */ +#define MP_UNDEF -5 /* answer is undefined */ +#define MP_LAST_CODE MP_UNDEF + +#include "mpi-types.h" + +/* Included for compatibility... */ +#define DIGIT_BIT MP_DIGIT_BIT +#define DIGIT_MAX MP_DIGIT_MAX + +/* Macros for accessing the mp_int internals */ +#define SIGN(MP) ((MP)->sign) +#define USED(MP) ((MP)->used) +#define ALLOC(MP) ((MP)->alloc) +#define DIGITS(MP) ((MP)->dp) +#define DIGIT(MP,N) (MP)->dp[(N)] + +#if MP_ARGCHK == 1 +#define ARGCHK(X,Y) {if(!(X)){return (Y);}} +#elif MP_ARGCHK == 2 +#include <assert.h> +#define ARGCHK(X,Y) assert(X) +#else +#define ARGCHK(X,Y) /* */ +#endif + +/* This defines the maximum I/O base (minimum is 2) */ +#define MAX_RADIX 64 + +typedef struct { + mp_sign sign; /* sign of this quantity */ + mp_size alloc; /* how many digits allocated */ + mp_size used; /* how many digits used */ + mp_digit *dp; /* the digits themselves */ +} mp_int; + +/*------------------------------------------------------------------------*/ +/* Default precision */ + +unsigned int mp_get_prec(void); +void mp_set_prec(unsigned int prec); + +/*------------------------------------------------------------------------*/ +/* Memory management */ + +mp_err mp_init(mp_int *mp); +mp_err mp_init_array(mp_int mp[], int count); +mp_err mp_init_size(mp_int *mp, mp_size prec); +mp_err mp_init_copy(mp_int *mp, mp_int *from); +mp_err mp_copy(mp_int *from, mp_int *to); +void mp_exch(mp_int *mp1, mp_int *mp2); +void mp_clear(mp_int *mp); +void mp_clear_array(mp_int mp[], int count); +void mp_zero(mp_int *mp); +void mp_set(mp_int *mp, mp_digit d); +mp_err mp_set_int(mp_int *mp, long z); +mp_err mp_shrink(mp_int *a); + + +/*------------------------------------------------------------------------*/ +/* Single digit arithmetic */ + +mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b); +mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b); +mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b); +mp_err mp_mul_2(mp_int *a, mp_int *c); +mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r); +mp_err mp_div_2(mp_int *a, mp_int *c); +mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c); + +/*------------------------------------------------------------------------*/ +/* Sign manipulations */ + +mp_err mp_abs(mp_int *a, mp_int *b); +mp_err mp_neg(mp_int *a, mp_int *b); + +/*------------------------------------------------------------------------*/ +/* Full arithmetic */ + +mp_err mp_add(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c); +#if MP_SQUARE +mp_err mp_sqr(mp_int *a, mp_int *b); +#else +#define mp_sqr(a, b) mp_mul(a, a, b) +#endif +mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r); +mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r); +mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_2expt(mp_int *a, mp_digit k); +mp_err mp_sqrt(mp_int *a, mp_int *b); + +/*------------------------------------------------------------------------*/ +/* Modular arithmetic */ + +#if MP_MODARITH +mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c); +mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c); +mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); +mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); +mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); +#if MP_SQUARE +mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c); +#else +#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) +#endif +mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); +mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c); +#endif /* MP_MODARITH */ + +/*------------------------------------------------------------------------*/ +/* Comparisons */ + +int mp_cmp_z(mp_int *a); +int mp_cmp_d(mp_int *a, mp_digit d); +int mp_cmp(mp_int *a, mp_int *b); +int mp_cmp_mag(mp_int *a, mp_int *b); +int mp_cmp_int(mp_int *a, long z); +int mp_isodd(mp_int *a); +int mp_iseven(mp_int *a); + +/*------------------------------------------------------------------------*/ +/* Number theoretic */ + +#if MP_NUMTH +mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y); +mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c); +#endif /* end MP_NUMTH */ + +/*------------------------------------------------------------------------*/ +/* Input and output */ + +#if MP_IOFUNC +void mp_print(mp_int *mp, FILE *ofp); +#endif /* end MP_IOFUNC */ + +/*------------------------------------------------------------------------*/ +/* Base conversion */ + +#define BITS 1 +#define BYTES CHAR_BIT + +mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len); +int mp_signed_bin_size(mp_int *mp); +mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str); + +mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len); +int mp_unsigned_bin_size(mp_int *mp); +mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str); + +int mp_count_bits(mp_int *mp); + +#if MP_COMPAT_MACROS +#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) +#define mp_raw_size(mp) mp_signed_bin_size(mp) +#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) +#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) +#define mp_mag_size(mp) mp_unsigned_bin_size(mp) +#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) +#endif + +mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); +int mp_radix_size(mp_int *mp, int radix); +int mp_value_radix_size(int num, int qty, int radix); +mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); + +int mp_char2value(char ch, int r); + +#define mp_tobinary(M, S) mp_toradix((M), (S), 2) +#define mp_tooctal(M, S) mp_toradix((M), (S), 8) +#define mp_todecimal(M, S) mp_toradix((M), (S), 10) +#define mp_tohex(M, S) mp_toradix((M), (S), 16) + +/*------------------------------------------------------------------------*/ +/* Error strings */ + +const char *mp_strerror(mp_err ec); + +#endif /* end _H_MPI_ */ + +/* $Source: /cvs/libtom/libtommath/mtest/mpi.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/mtest/mtest.c b/source4/heimdal/lib/hcrypto/libtommath/mtest/mtest.c new file mode 100644 index 0000000000..bdfe6127af --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/mtest/mtest.c @@ -0,0 +1,308 @@ +/* makes a bignum test harness with NUM tests per operation + * + * the output is made in the following format [one parameter per line] + +operation +operand1 +operand2 +[... operandN] +result1 +result2 +[... resultN] + +So for example "a * b mod n" would be + +mulmod +a +b +n +a*b mod n + +e.g. if a=3, b=4 n=11 then + +mulmod +3 +4 +11 +1 + + */ + +#ifdef MP_8BIT +#define THE_MASK 127 +#else +#define THE_MASK 32767 +#endif + +#include <stdio.h> +#include <stdlib.h> +#include <time.h> +#include "mpi.c" + +FILE *rng; + +void rand_num(mp_int *a) +{ + int n, size; + unsigned char buf[2048]; + + size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; + buf[0] = (fgetc(rng)&1)?1:0; + fread(buf+1, 1, size, rng); + while (buf[1] == 0) buf[1] = fgetc(rng); + mp_read_raw(a, buf, 1+size); +} + +void rand_num2(mp_int *a) +{ + int n, size; + unsigned char buf[2048]; + + size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; + buf[0] = (fgetc(rng)&1)?1:0; + fread(buf+1, 1, size, rng); + while (buf[1] == 0) buf[1] = fgetc(rng); + mp_read_raw(a, buf, 1+size); +} + +#define mp_to64(a, b) mp_toradix(a, b, 64) + +int main(void) +{ + int n, tmp; + mp_int a, b, c, d, e; + clock_t t1; + char buf[4096]; + + mp_init(&a); + mp_init(&b); + mp_init(&c); + mp_init(&d); + mp_init(&e); + + + /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ +/* + mp_set(&a, 1); + for (n = 1; n < 8192; n++) { + mp_mul(&a, &a, &c); + printf("mul\n"); + mp_to64(&a, buf); + printf("%s\n%s\n", buf, buf); + mp_to64(&c, buf); + printf("%s\n", buf); + + mp_add_d(&a, 1, &a); + mp_mul_2(&a, &a); + mp_sub_d(&a, 1, &a); + } +*/ + + rng = fopen("/dev/urandom", "rb"); + if (rng == NULL) { + rng = fopen("/dev/random", "rb"); + if (rng == NULL) { + fprintf(stderr, "\nWarning: stdin used as random source\n\n"); + rng = stdin; + } + } + + t1 = clock(); + for (;;) { +#if 0 + if (clock() - t1 > CLOCKS_PER_SEC) { + sleep(2); + t1 = clock(); + } +#endif + n = fgetc(rng) % 15; + + if (n == 0) { + /* add tests */ + rand_num(&a); + rand_num(&b); + mp_add(&a, &b, &c); + printf("add\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 1) { + /* sub tests */ + rand_num(&a); + rand_num(&b); + mp_sub(&a, &b, &c); + printf("sub\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 2) { + /* mul tests */ + rand_num(&a); + rand_num(&b); + mp_mul(&a, &b, &c); + printf("mul\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 3) { + /* div tests */ + rand_num(&a); + rand_num(&b); + mp_div(&a, &b, &c, &d); + printf("div\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + mp_to64(&d, buf); + printf("%s\n", buf); + } else if (n == 4) { + /* sqr tests */ + rand_num(&a); + mp_sqr(&a, &b); + printf("sqr\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 5) { + /* mul_2d test */ + rand_num(&a); + mp_copy(&a, &b); + n = fgetc(rng) & 63; + mp_mul_2d(&b, n, &b); + mp_to64(&a, buf); + printf("mul2d\n"); + printf("%s\n", buf); + printf("%d\n", n); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 6) { + /* div_2d test */ + rand_num(&a); + mp_copy(&a, &b); + n = fgetc(rng) & 63; + mp_div_2d(&b, n, &b, NULL); + mp_to64(&a, buf); + printf("div2d\n"); + printf("%s\n", buf); + printf("%d\n", n); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 7) { + /* gcd test */ + rand_num(&a); + rand_num(&b); + a.sign = MP_ZPOS; + b.sign = MP_ZPOS; + mp_gcd(&a, &b, &c); + printf("gcd\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 8) { + /* lcm test */ + rand_num(&a); + rand_num(&b); + a.sign = MP_ZPOS; + b.sign = MP_ZPOS; + mp_lcm(&a, &b, &c); + printf("lcm\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 9) { + /* exptmod test */ + rand_num2(&a); + rand_num2(&b); + rand_num2(&c); +// if (c.dp[0]&1) mp_add_d(&c, 1, &c); + a.sign = b.sign = c.sign = 0; + mp_exptmod(&a, &b, &c, &d); + printf("expt\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + mp_to64(&d, buf); + printf("%s\n", buf); + } else if (n == 10) { + /* invmod test */ + rand_num2(&a); + rand_num2(&b); + b.sign = MP_ZPOS; + a.sign = MP_ZPOS; + mp_gcd(&a, &b, &c); + if (mp_cmp_d(&c, 1) != 0) continue; + if (mp_cmp_d(&b, 1) == 0) continue; + mp_invmod(&a, &b, &c); + printf("invmod\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 11) { + rand_num(&a); + mp_mul_2(&a, &a); + mp_div_2(&a, &b); + printf("div2\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 12) { + rand_num2(&a); + mp_mul_2(&a, &b); + printf("mul2\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 13) { + rand_num2(&a); + tmp = abs(rand()) & THE_MASK; + mp_add_d(&a, tmp, &b); + printf("add_d\n"); + mp_to64(&a, buf); + printf("%s\n%d\n", buf, tmp); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 14) { + rand_num2(&a); + tmp = abs(rand()) & THE_MASK; + mp_sub_d(&a, tmp, &b); + printf("sub_d\n"); + mp_to64(&a, buf); + printf("%s\n%d\n", buf, tmp); + mp_to64(&b, buf); + printf("%s\n", buf); + } + } + fclose(rng); + return 0; +} + +/* $Source: /cvs/libtom/libtommath/mtest/mtest.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.sxd b/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.sxd Binary files differnew file mode 100644 index 0000000000..7414dbb276 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.sxd diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.tif b/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.tif Binary files differnew file mode 100644 index 0000000000..4a0c012d56 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/design_process.tif diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.sxd b/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.sxd Binary files differnew file mode 100644 index 0000000000..6518404d5f --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.sxd diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.tif b/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.tif Binary files differnew file mode 100644 index 0000000000..cb06e8edf1 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/expt_state.tif diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/makefile b/source4/heimdal/lib/hcrypto/libtommath/pics/makefile new file mode 100644 index 0000000000..3ecb02ff73 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/makefile @@ -0,0 +1,35 @@ +# makes the images... yeah + +default: pses + +design_process.ps: design_process.tif + tiff2ps -s -e design_process.tif > design_process.ps + +sliding_window.ps: sliding_window.tif + tiff2ps -s -e sliding_window.tif > sliding_window.ps + +expt_state.ps: expt_state.tif + tiff2ps -s -e expt_state.tif > expt_state.ps + +primality.ps: primality.tif + tiff2ps -s -e primality.tif > primality.ps + +design_process.pdf: design_process.ps + epstopdf design_process.ps + +sliding_window.pdf: sliding_window.ps + epstopdf sliding_window.ps + +expt_state.pdf: expt_state.ps + epstopdf expt_state.ps + +primality.pdf: primality.ps + epstopdf primality.ps + + +pses: sliding_window.ps expt_state.ps primality.ps design_process.ps +pdfes: sliding_window.pdf expt_state.pdf primality.pdf design_process.pdf + +clean: + rm -rf *.ps *.pdf .xvpics +
\ No newline at end of file diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/primality.tif b/source4/heimdal/lib/hcrypto/libtommath/pics/primality.tif Binary files differnew file mode 100644 index 0000000000..76d6be3fac --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/primality.tif diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/radix.sxd b/source4/heimdal/lib/hcrypto/libtommath/pics/radix.sxd Binary files differnew file mode 100644 index 0000000000..b9eb9a032d --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/radix.sxd diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.sxd b/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.sxd Binary files differnew file mode 100644 index 0000000000..91e7c0d9f4 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.sxd diff --git a/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.tif b/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.tif Binary files differnew file mode 100644 index 0000000000..bb4cb96ebf --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pics/sliding_window.tif diff --git a/source4/heimdal/lib/hcrypto/libtommath/pretty.build b/source4/heimdal/lib/hcrypto/libtommath/pretty.build new file mode 100644 index 0000000000..a708b8af22 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/pretty.build @@ -0,0 +1,66 @@ +#!/bin/perl -w +# +# Cute little builder for perl +# Total waste of development time... +# +# This will build all the object files and then the archive .a file +# requires GCC, GNU make and a sense of humour. +# +# Tom St Denis +use strict; + +my $count = 0; +my $starttime = time; +my $rate = 0; +print "Scanning for source files...\n"; +foreach my $filename (glob "*.c") { + ++$count; +} +print "Source files to build: $count\nBuilding...\n"; +my $i = 0; +my $lines = 0; +my $filesbuilt = 0; +foreach my $filename (glob "*.c") { + printf("Building %3.2f%%, ", (++$i/$count)*100.0); + if ($i % 4 == 0) { print "/, "; } + if ($i % 4 == 1) { print "-, "; } + if ($i % 4 == 2) { print "\\, "; } + if ($i % 4 == 3) { print "|, "; } + if ($rate > 0) { + my $tleft = ($count - $i) / $rate; + my $tsec = $tleft%60; + my $tmin = ($tleft/60)%60; + my $thour = ($tleft/3600)%60; + printf("%2d:%02d:%02d left, ", $thour, $tmin, $tsec); + } + my $cnt = ($i/$count)*30.0; + my $x = 0; + print "["; + for (; $x < $cnt; $x++) { print "#"; } + for (; $x < 30; $x++) { print " "; } + print "]\r"; + my $tmp = $filename; + $tmp =~ s/\.c/".o"/ge; + if (open(SRC, "<$tmp")) { + close SRC; + } else { + !system("make $tmp > /dev/null 2>/dev/null") or die "\nERROR: Failed to make $tmp!!!\n"; + open( SRC, "<$filename" ) or die "Couldn't open $filename for reading: $!"; + ++$lines while (<SRC>); + close SRC or die "Error closing $filename after reading: $!"; + ++$filesbuilt; + } + + # update timer + if (time != $starttime) { + my $delay = time - $starttime; + $rate = $i/$delay; + } +} + +# finish building the library +printf("\nFinished building source (%d seconds, %3.2f files per second).\n", time - $starttime, $rate); +print "Compiled approximately $filesbuilt files and $lines lines of code.\n"; +print "Doing final make (building archive...)\n"; +!system("make > /dev/null 2>/dev/null") or die "\nERROR: Failed to perform last make command!!!\n"; +print "done.\n";
\ No newline at end of file diff --git a/source4/heimdal/lib/hcrypto/libtommath/tombc/grammar.txt b/source4/heimdal/lib/hcrypto/libtommath/tombc/grammar.txt new file mode 100644 index 0000000000..a780e759d6 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/tombc/grammar.txt @@ -0,0 +1,35 @@ +program := program statement | statement | empty +statement := { statement } | + identifier = numexpression; | + identifier[numexpression] = numexpression; | + function(expressionlist); | + for (identifer = numexpression; numexpression; identifier = numexpression) { statement } | + while (numexpression) { statement } | + if (numexpresion) { statement } elif | + break; | + continue; + +elif := else statement | empty +function := abs | countbits | exptmod | jacobi | print | isprime | nextprime | issquare | readinteger | exit +expressionlist := expressionlist, expression | expression + +// LR(1) !!!? +expression := string | numexpression +numexpression := cmpexpr && cmpexpr | cmpexpr \|\| cmpexpr | cmpexpr +cmpexpr := boolexpr < boolexpr | boolexpr > boolexpr | boolexpr == boolexpr | + boolexpr <= boolexpr | boolexpr >= boolexpr | boolexpr +boolexpr := shiftexpr & shiftexpr | shiftexpr ^ shiftexpr | shiftexpr \| shiftexpr | shiftexpr +shiftexpr := addsubexpr << addsubexpr | addsubexpr >> addsubexpr | addsubexpr +addsubexpr := mulexpr + mulexpr | mulexpr - mulexpr | mulexpr +mulexpr := expr * expr | expr / expr | expr % expr | expr +expr := -nexpr | nexpr +nexpr := integer | identifier | ( numexpression ) | identifier[numexpression] + +identifier := identifer digits | identifier alpha | alpha +alpha := a ... z | A ... Z +integer := hexnumber | digits +hexnumber := 0xhexdigits +hexdigits := hexdigits hexdigit | hexdigit +hexdigit := 0 ... 9 | a ... f | A ... F +digits := digits digit | digit +digit := 0 ... 9 diff --git a/source4/heimdal/lib/hcrypto/libtommath/tommath.h b/source4/heimdal/lib/hcrypto/libtommath/tommath.h new file mode 100644 index 0000000000..426207a298 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/tommath.h @@ -0,0 +1,592 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + */ +#ifndef BN_H_ +#define BN_H_ + +#include <stdio.h> +#include <string.h> +#include <stdlib.h> +#include <ctype.h> +#include <limits.h> + +#include <tommath_class.h> + +#ifndef MIN + #define MIN(x,y) ((x)<(y)?(x):(y)) +#endif + +#ifndef MAX + #define MAX(x,y) ((x)>(y)?(x):(y)) +#endif + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + + +/* detect 64-bit mode if possible */ +#if defined(__x86_64__) + #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) + #define MP_64BIT + #endif +#endif + +/* some default configurations. + * + * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits + * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits + * + * At the very least a mp_digit must be able to hold 7 bits + * [any size beyond that is ok provided it doesn't overflow the data type] + */ +#ifdef MP_8BIT + typedef unsigned char mp_digit; + typedef unsigned short mp_word; +#elif defined(MP_16BIT) + typedef unsigned short mp_digit; + typedef unsigned long mp_word; +#elif defined(MP_64BIT) + /* for GCC only on supported platforms */ +#ifndef CRYPT + typedef unsigned long long ulong64; + typedef signed long long long64; +#endif + + typedef unsigned long mp_digit; + typedef unsigned long mp_word __attribute__ ((mode(TI))); + + #define DIGIT_BIT 60 +#else + /* this is the default case, 28-bit digits */ + + /* this is to make porting into LibTomCrypt easier :-) */ +#ifndef CRYPT + #if defined(_MSC_VER) || defined(__BORLANDC__) + typedef unsigned __int64 ulong64; + typedef signed __int64 long64; + #else + typedef unsigned long long ulong64; + typedef signed long long long64; + #endif +#endif + + typedef unsigned long mp_digit; + typedef ulong64 mp_word; + +#ifdef MP_31BIT + /* this is an extension that uses 31-bit digits */ + #define DIGIT_BIT 31 +#else + /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ + #define DIGIT_BIT 28 + #define MP_28BIT +#endif +#endif + +/* define heap macros */ +#ifndef CRYPT + /* default to libc stuff */ + #ifndef XMALLOC + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc + #else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *XREALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); + #endif +#endif + + +/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ +#ifndef DIGIT_BIT + #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ +#endif + +#define MP_DIGIT_BIT DIGIT_BIT +#define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1)) +#define MP_DIGIT_MAX MP_MASK + +/* equalities */ +#define MP_LT -1 /* less than */ +#define MP_EQ 0 /* equal to */ +#define MP_GT 1 /* greater than */ + +#define MP_ZPOS 0 /* positive integer */ +#define MP_NEG 1 /* negative */ + +#define MP_OKAY 0 /* ok result */ +#define MP_MEM -2 /* out of mem */ +#define MP_VAL -3 /* invalid input */ +#define MP_RANGE MP_VAL + +#define MP_YES 1 /* yes response */ +#define MP_NO 0 /* no response */ + +/* Primality generation flags */ +#define LTM_PRIME_BBS 0x0001 /* BBS style prime */ +#define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ +#define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ + +typedef int mp_err; + +/* you'll have to tune these... */ +extern int KARATSUBA_MUL_CUTOFF, + KARATSUBA_SQR_CUTOFF, + TOOM_MUL_CUTOFF, + TOOM_SQR_CUTOFF; + +/* define this to use lower memory usage routines (exptmods mostly) */ +/* #define MP_LOW_MEM */ + +/* default precision */ +#ifndef MP_PREC + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif +#endif + +/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ +#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) + +/* the infamous mp_int structure */ +typedef struct { + int used, alloc, sign; + mp_digit *dp; +} mp_int; + +/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ +typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); + + +#define USED(m) ((m)->used) +#define DIGIT(m,k) ((m)->dp[(k)]) +#define SIGN(m) ((m)->sign) + +/* error code to char* string */ +char *mp_error_to_string(int code); + +/* ---> init and deinit bignum functions <--- */ +/* init a bignum */ +int mp_init(mp_int *a); + +/* free a bignum */ +void mp_clear(mp_int *a); + +/* init a null terminated series of arguments */ +int mp_init_multi(mp_int *mp, ...); + +/* clear a null terminated series of arguments */ +void mp_clear_multi(mp_int *mp, ...); + +/* exchange two ints */ +void mp_exch(mp_int *a, mp_int *b); + +/* shrink ram required for a bignum */ +int mp_shrink(mp_int *a); + +/* grow an int to a given size */ +int mp_grow(mp_int *a, int size); + +/* init to a given number of digits */ +int mp_init_size(mp_int *a, int size); + +/* ---> Basic Manipulations <--- */ +#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) +#define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) +#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign) ? MP_YES : MP_NO) + +/* set to zero */ +void mp_zero(mp_int *a); + +/* set to zero, multi */ +void mp_zero_multi(mp_int *a, ...); + +/* set to a digit */ +void mp_set(mp_int *a, mp_digit b); + +/* set a 32-bit const */ +int mp_set_int(mp_int *a, unsigned long b); + +/* get a 32-bit value */ +unsigned long mp_get_int(mp_int * a); + +/* initialize and set a digit */ +int mp_init_set (mp_int * a, mp_digit b); + +/* initialize and set 32-bit value */ +int mp_init_set_int (mp_int * a, unsigned long b); + +/* copy, b = a */ +int mp_copy(mp_int *a, mp_int *b); + +/* inits and copies, a = b */ +int mp_init_copy(mp_int *a, mp_int *b); + +/* trim unused digits */ +void mp_clamp(mp_int *a); + +/* ---> digit manipulation <--- */ + +/* right shift by "b" digits */ +void mp_rshd(mp_int *a, int b); + +/* left shift by "b" digits */ +int mp_lshd(mp_int *a, int b); + +/* c = a / 2**b */ +int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); + +/* b = a/2 */ +int mp_div_2(mp_int *a, mp_int *b); + +/* c = a * 2**b */ +int mp_mul_2d(mp_int *a, int b, mp_int *c); + +/* b = a*2 */ +int mp_mul_2(mp_int *a, mp_int *b); + +/* c = a mod 2**d */ +int mp_mod_2d(mp_int *a, int b, mp_int *c); + +/* computes a = 2**b */ +int mp_2expt(mp_int *a, int b); + +/* Counts the number of lsbs which are zero before the first zero bit */ +int mp_cnt_lsb(mp_int *a); + +/* I Love Earth! */ + +/* makes a pseudo-random int of a given size */ +int mp_rand(mp_int *a, int digits); + +/* ---> binary operations <--- */ +/* c = a XOR b */ +int mp_xor(mp_int *a, mp_int *b, mp_int *c); + +/* c = a OR b */ +int mp_or(mp_int *a, mp_int *b, mp_int *c); + +/* c = a AND b */ +int mp_and(mp_int *a, mp_int *b, mp_int *c); + +/* ---> Basic arithmetic <--- */ + +/* b = -a */ +int mp_neg(mp_int *a, mp_int *b); + +/* b = |a| */ +int mp_abs(mp_int *a, mp_int *b); + +/* compare a to b */ +int mp_cmp(mp_int *a, mp_int *b); + +/* compare |a| to |b| */ +int mp_cmp_mag(mp_int *a, mp_int *b); + +/* c = a + b */ +int mp_add(mp_int *a, mp_int *b, mp_int *c); + +/* c = a - b */ +int mp_sub(mp_int *a, mp_int *b, mp_int *c); + +/* c = a * b */ +int mp_mul(mp_int *a, mp_int *b, mp_int *c); + +/* b = a*a */ +int mp_sqr(mp_int *a, mp_int *b); + +/* a/b => cb + d == a */ +int mp_div(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* c = a mod b, 0 <= c < b */ +int mp_mod(mp_int *a, mp_int *b, mp_int *c); + +/* ---> single digit functions <--- */ + +/* compare against a single digit */ +int mp_cmp_d(mp_int *a, mp_digit b); + +/* c = a + b */ +int mp_add_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a - b */ +int mp_sub_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a * b */ +int mp_mul_d(mp_int *a, mp_digit b, mp_int *c); + +/* a/b => cb + d == a */ +int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d); + +/* a/3 => 3c + d == a */ +int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); + +/* c = a**b */ +int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a mod b, 0 <= c < b */ +int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); + +/* ---> number theory <--- */ + +/* d = a + b (mod c) */ +int mp_addmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* d = a - b (mod c) */ +int mp_submod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* d = a * b (mod c) */ +int mp_mulmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* c = a * a (mod b) */ +int mp_sqrmod(mp_int *a, mp_int *b, mp_int *c); + +/* c = 1/a (mod b) */ +int mp_invmod(mp_int *a, mp_int *b, mp_int *c); + +/* c = (a, b) */ +int mp_gcd(mp_int *a, mp_int *b, mp_int *c); + +/* produces value such that U1*a + U2*b = U3 */ +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); + +/* c = [a, b] or (a*b)/(a, b) */ +int mp_lcm(mp_int *a, mp_int *b, mp_int *c); + +/* finds one of the b'th root of a, such that |c|**b <= |a| + * + * returns error if a < 0 and b is even + */ +int mp_n_root(mp_int *a, mp_digit b, mp_int *c); + +/* special sqrt algo */ +int mp_sqrt(mp_int *arg, mp_int *ret); + +/* is number a square? */ +int mp_is_square(mp_int *arg, int *ret); + +/* computes the jacobi c = (a | n) (or Legendre if b is prime) */ +int mp_jacobi(mp_int *a, mp_int *n, int *c); + +/* used to setup the Barrett reduction for a given modulus b */ +int mp_reduce_setup(mp_int *a, mp_int *b); + +/* Barrett Reduction, computes a (mod b) with a precomputed value c + * + * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely + * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code]. + */ +int mp_reduce(mp_int *a, mp_int *b, mp_int *c); + +/* setups the montgomery reduction */ +int mp_montgomery_setup(mp_int *a, mp_digit *mp); + +/* computes a = B**n mod b without division or multiplication useful for + * normalizing numbers in a Montgomery system. + */ +int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); + +/* computes x/R == x (mod N) via Montgomery Reduction */ +int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); + +/* returns 1 if a is a valid DR modulus */ +int mp_dr_is_modulus(mp_int *a); + +/* sets the value of "d" required for mp_dr_reduce */ +void mp_dr_setup(mp_int *a, mp_digit *d); + +/* reduces a modulo b using the Diminished Radix method */ +int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); + +/* returns true if a can be reduced with mp_reduce_2k */ +int mp_reduce_is_2k(mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup(mp_int *a, mp_digit *d); + +/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ +int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); + +/* returns true if a can be reduced with mp_reduce_2k_l */ +int mp_reduce_is_2k_l(mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup_l(mp_int *a, mp_int *d); + +/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ +int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d); + +/* d = a**b (mod c) */ +int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* ---> Primes <--- */ + +/* number of primes */ +#ifdef MP_8BIT + #define PRIME_SIZE 31 +#else + #define PRIME_SIZE 256 +#endif + +/* table of first PRIME_SIZE primes */ +extern const mp_digit ltm_prime_tab[]; + +/* result=1 if a is divisible by one of the first PRIME_SIZE primes */ +int mp_prime_is_divisible(mp_int *a, int *result); + +/* performs one Fermat test of "a" using base "b". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_fermat(mp_int *a, mp_int *b, int *result); + +/* performs one Miller-Rabin test of "a" using base "b". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); + +/* This gives [for a given bit size] the number of trials required + * such that Miller-Rabin gives a prob of failure lower than 2^-96 + */ +int mp_prime_rabin_miller_trials(int size); + +/* performs t rounds of Miller-Rabin on "a" using the first + * t prime bases. Also performs an initial sieve of trial + * division. Determines if "a" is prime with probability + * of error no more than (1/4)**t. + * + * Sets result to 1 if probably prime, 0 otherwise + */ +int mp_prime_is_prime(mp_int *a, int t, int *result); + +/* finds the next prime after the number "a" using "t" trials + * of Miller-Rabin. + * + * bbs_style = 1 means the prime must be congruent to 3 mod 4 + */ +int mp_prime_next_prime(mp_int *a, int t, int bbs_style); + +/* makes a truly random prime of a given size (bytes), + * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + * The prime generated will be larger than 2^(8*size). + */ +#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat) + +/* makes a truly random prime of a given size (bits), + * + * Flags are as follows: + * + * LTM_PRIME_BBS - make prime congruent to 3 mod 4 + * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) + * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero + * LTM_PRIME_2MSB_ON - make the 2nd highest bit one + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + */ +int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat); + +int mp_find_prime(mp_int *a); + +int mp_isprime(mp_int *a); + +/* ---> radix conversion <--- */ +int mp_count_bits(mp_int *a); + +int mp_unsigned_bin_size(mp_int *a); +int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c); +int mp_to_unsigned_bin(mp_int *a, unsigned char *b); +int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); + +int mp_signed_bin_size(mp_int *a); +int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c); +int mp_to_signed_bin(mp_int *a, unsigned char *b); +int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); + +int mp_read_radix(mp_int *a, const char *str, int radix); +int mp_toradix(mp_int *a, char *str, int radix); +int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); +int mp_radix_size(mp_int *a, int radix, int *size); + +int mp_fread(mp_int *a, int radix, FILE *stream); +int mp_fwrite(mp_int *a, int radix, FILE *stream); + +#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) +#define mp_raw_size(mp) mp_signed_bin_size(mp) +#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) +#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) +#define mp_mag_size(mp) mp_unsigned_bin_size(mp) +#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) + +#define mp_tobinary(M, S) mp_toradix((M), (S), 2) +#define mp_tooctal(M, S) mp_toradix((M), (S), 8) +#define mp_todecimal(M, S) mp_toradix((M), (S), 10) +#define mp_tohex(M, S) mp_toradix((M), (S), 16) + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +#ifdef __cplusplus + } +#endif + +#endif + + +/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/03/31 14:18:44 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/tommath_class.h b/source4/heimdal/lib/hcrypto/libtommath/tommath_class.h new file mode 100644 index 0000000000..fa95a0277a --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/tommath_class.h @@ -0,0 +1,1000 @@ +#if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) +#if defined(LTM2) +#define LTM3 +#endif +#if defined(LTM1) +#define LTM2 +#endif +#define LTM1 + +#if defined(LTM_ALL) +#define BN_ERROR_C +#define BN_FAST_MP_INVMOD_C +#define BN_FAST_MP_MONTGOMERY_REDUCE_C +#define BN_FAST_S_MP_MUL_DIGS_C +#define BN_FAST_S_MP_MUL_HIGH_DIGS_C +#define BN_FAST_S_MP_SQR_C +#define BN_MP_2EXPT_C +#define BN_MP_ABS_C +#define BN_MP_ADD_C +#define BN_MP_ADD_D_C +#define BN_MP_ADDMOD_C +#define BN_MP_AND_C +#define BN_MP_CLAMP_C +#define BN_MP_CLEAR_C +#define BN_MP_CLEAR_MULTI_C +#define BN_MP_CMP_C +#define BN_MP_CMP_D_C +#define BN_MP_CMP_MAG_C +#define BN_MP_CNT_LSB_C +#define BN_MP_COPY_C +#define BN_MP_COUNT_BITS_C +#define BN_MP_DIV_C +#define BN_MP_DIV_2_C +#define BN_MP_DIV_2D_C +#define BN_MP_DIV_3_C +#define BN_MP_DIV_D_C +#define BN_MP_DR_IS_MODULUS_C +#define BN_MP_DR_REDUCE_C +#define BN_MP_DR_SETUP_C +#define BN_MP_EXCH_C +#define BN_MP_EXPT_D_C +#define BN_MP_EXPTMOD_C +#define BN_MP_EXPTMOD_FAST_C +#define BN_MP_EXTEUCLID_C +#define BN_MP_FREAD_C +#define BN_MP_FWRITE_C +#define BN_MP_GCD_C +#define BN_MP_GET_INT_C +#define BN_MP_GROW_C +#define BN_MP_INIT_C +#define BN_MP_INIT_COPY_C +#define BN_MP_INIT_MULTI_C +#define BN_MP_INIT_SET_C +#define BN_MP_INIT_SET_INT_C +#define BN_MP_INIT_SIZE_C +#define BN_MP_INVMOD_C +#define BN_MP_INVMOD_SLOW_C +#define BN_MP_IS_SQUARE_C +#define BN_MP_JACOBI_C +#define BN_MP_KARATSUBA_MUL_C +#define BN_MP_KARATSUBA_SQR_C +#define BN_MP_LCM_C +#define BN_MP_LSHD_C +#define BN_MP_MOD_C +#define BN_MP_MOD_2D_C +#define BN_MP_MOD_D_C +#define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +#define BN_MP_MONTGOMERY_REDUCE_C +#define BN_MP_MONTGOMERY_SETUP_C +#define BN_MP_MUL_C +#define BN_MP_MUL_2_C +#define BN_MP_MUL_2D_C +#define BN_MP_MUL_D_C +#define BN_MP_MULMOD_C +#define BN_MP_N_ROOT_C +#define BN_MP_NEG_C +#define BN_MP_OR_C +#define BN_MP_PRIME_FERMAT_C +#define BN_MP_PRIME_IS_DIVISIBLE_C +#define BN_MP_PRIME_IS_PRIME_C +#define BN_MP_PRIME_MILLER_RABIN_C +#define BN_MP_PRIME_NEXT_PRIME_C +#define BN_MP_PRIME_RABIN_MILLER_TRIALS_C +#define BN_MP_PRIME_RANDOM_EX_C +#define BN_MP_RADIX_SIZE_C +#define BN_MP_RADIX_SMAP_C +#define BN_MP_RAND_C +#define BN_MP_READ_RADIX_C +#define BN_MP_READ_SIGNED_BIN_C +#define BN_MP_READ_UNSIGNED_BIN_C +#define BN_MP_REDUCE_C +#define BN_MP_REDUCE_2K_C +#define BN_MP_REDUCE_2K_L_C +#define BN_MP_REDUCE_2K_SETUP_C +#define BN_MP_REDUCE_2K_SETUP_L_C +#define BN_MP_REDUCE_IS_2K_C +#define BN_MP_REDUCE_IS_2K_L_C +#define BN_MP_REDUCE_SETUP_C +#define BN_MP_RSHD_C +#define BN_MP_SET_C +#define BN_MP_SET_INT_C +#define BN_MP_SHRINK_C +#define BN_MP_SIGNED_BIN_SIZE_C +#define BN_MP_SQR_C +#define BN_MP_SQRMOD_C +#define BN_MP_SQRT_C +#define BN_MP_SUB_C +#define BN_MP_SUB_D_C +#define BN_MP_SUBMOD_C +#define BN_MP_TO_SIGNED_BIN_C +#define BN_MP_TO_SIGNED_BIN_N_C +#define BN_MP_TO_UNSIGNED_BIN_C +#define BN_MP_TO_UNSIGNED_BIN_N_C +#define BN_MP_TOOM_MUL_C +#define BN_MP_TOOM_SQR_C +#define BN_MP_TORADIX_C +#define BN_MP_TORADIX_N_C +#define BN_MP_UNSIGNED_BIN_SIZE_C +#define BN_MP_XOR_C +#define BN_MP_ZERO_C +#define BN_MP_ZERO_MULTI_C +#define BN_PRIME_TAB_C +#define BN_REVERSE_C +#define BN_S_MP_ADD_C +#define BN_S_MP_EXPTMOD_C +#define BN_S_MP_MUL_DIGS_C +#define BN_S_MP_MUL_HIGH_DIGS_C +#define BN_S_MP_SQR_C +#define BN_S_MP_SUB_C +#define BNCORE_C +#endif + +#if defined(BN_ERROR_C) + #define BN_MP_ERROR_TO_STRING_C +#endif + +#if defined(BN_FAST_MP_INVMOD_C) + #define BN_MP_ISEVEN_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_COPY_C + #define BN_MP_MOD_C + #define BN_MP_SET_C + #define BN_MP_DIV_2_C + #define BN_MP_ISODD_C + #define BN_MP_SUB_C + #define BN_MP_CMP_C + #define BN_MP_ISZERO_C + #define BN_MP_CMP_D_C + #define BN_MP_ADD_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_FAST_MP_MONTGOMERY_REDUCE_C) + #define BN_MP_GROW_C + #define BN_MP_RSHD_C + #define BN_MP_CLAMP_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_FAST_S_MP_MUL_DIGS_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_FAST_S_MP_SQR_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_2EXPT_C) + #define BN_MP_ZERO_C + #define BN_MP_GROW_C +#endif + +#if defined(BN_MP_ABS_C) + #define BN_MP_COPY_C +#endif + +#if defined(BN_MP_ADD_C) + #define BN_S_MP_ADD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_ADD_D_C) + #define BN_MP_GROW_C + #define BN_MP_SUB_D_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_ADDMOD_C) + #define BN_MP_INIT_C + #define BN_MP_ADD_C + #define BN_MP_CLEAR_C + #define BN_MP_MOD_C +#endif + +#if defined(BN_MP_AND_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_CLAMP_C) +#endif + +#if defined(BN_MP_CLEAR_C) +#endif + +#if defined(BN_MP_CLEAR_MULTI_C) + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_CMP_C) + #define BN_MP_CMP_MAG_C +#endif + +#if defined(BN_MP_CMP_D_C) +#endif + +#if defined(BN_MP_CMP_MAG_C) +#endif + +#if defined(BN_MP_CNT_LSB_C) + #define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_COPY_C) + #define BN_MP_GROW_C +#endif + +#if defined(BN_MP_COUNT_BITS_C) +#endif + +#if defined(BN_MP_DIV_C) + #define BN_MP_ISZERO_C + #define BN_MP_CMP_MAG_C + #define BN_MP_COPY_C + #define BN_MP_ZERO_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_SET_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_ABS_C + #define BN_MP_MUL_2D_C + #define BN_MP_CMP_C + #define BN_MP_SUB_C + #define BN_MP_ADD_C + #define BN_MP_DIV_2D_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_MULTI_C + #define BN_MP_INIT_SIZE_C + #define BN_MP_INIT_C + #define BN_MP_INIT_COPY_C + #define BN_MP_LSHD_C + #define BN_MP_RSHD_C + #define BN_MP_MUL_D_C + #define BN_MP_CLAMP_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DIV_2_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_DIV_2D_C) + #define BN_MP_COPY_C + #define BN_MP_ZERO_C + #define BN_MP_INIT_C + #define BN_MP_MOD_2D_C + #define BN_MP_CLEAR_C + #define BN_MP_RSHD_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C +#endif + +#if defined(BN_MP_DIV_3_C) + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DIV_D_C) + #define BN_MP_ISZERO_C + #define BN_MP_COPY_C + #define BN_MP_DIV_2D_C + #define BN_MP_DIV_3_C + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DR_IS_MODULUS_C) +#endif + +#if defined(BN_MP_DR_REDUCE_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_DR_SETUP_C) +#endif + +#if defined(BN_MP_EXCH_C) +#endif + +#if defined(BN_MP_EXPT_D_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_SET_C + #define BN_MP_SQR_C + #define BN_MP_CLEAR_C + #define BN_MP_MUL_C +#endif + +#if defined(BN_MP_EXPTMOD_C) + #define BN_MP_INIT_C + #define BN_MP_INVMOD_C + #define BN_MP_CLEAR_C + #define BN_MP_ABS_C + #define BN_MP_CLEAR_MULTI_C + #define BN_MP_REDUCE_IS_2K_L_C + #define BN_S_MP_EXPTMOD_C + #define BN_MP_DR_IS_MODULUS_C + #define BN_MP_REDUCE_IS_2K_C + #define BN_MP_ISODD_C + #define BN_MP_EXPTMOD_FAST_C +#endif + +#if defined(BN_MP_EXPTMOD_FAST_C) + #define BN_MP_COUNT_BITS_C + #define BN_MP_INIT_C + #define BN_MP_CLEAR_C + #define BN_MP_MONTGOMERY_SETUP_C + #define BN_FAST_MP_MONTGOMERY_REDUCE_C + #define BN_MP_MONTGOMERY_REDUCE_C + #define BN_MP_DR_SETUP_C + #define BN_MP_DR_REDUCE_C + #define BN_MP_REDUCE_2K_SETUP_C + #define BN_MP_REDUCE_2K_C + #define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C + #define BN_MP_MULMOD_C + #define BN_MP_SET_C + #define BN_MP_MOD_C + #define BN_MP_COPY_C + #define BN_MP_SQR_C + #define BN_MP_MUL_C + #define BN_MP_EXCH_C +#endif + +#if defined(BN_MP_EXTEUCLID_C) + #define BN_MP_INIT_MULTI_C + #define BN_MP_SET_C + #define BN_MP_COPY_C + #define BN_MP_ISZERO_C + #define BN_MP_DIV_C + #define BN_MP_MUL_C + #define BN_MP_SUB_C + #define BN_MP_NEG_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_FREAD_C) + #define BN_MP_ZERO_C + #define BN_MP_S_RMAP_C + #define BN_MP_MUL_D_C + #define BN_MP_ADD_D_C + #define BN_MP_CMP_D_C +#endif + +#if defined(BN_MP_FWRITE_C) + #define BN_MP_RADIX_SIZE_C + #define BN_MP_TORADIX_C +#endif + +#if defined(BN_MP_GCD_C) + #define BN_MP_ISZERO_C + #define BN_MP_ABS_C + #define BN_MP_ZERO_C + #define BN_MP_INIT_COPY_C + #define BN_MP_CNT_LSB_C + #define BN_MP_DIV_2D_C + #define BN_MP_CMP_MAG_C + #define BN_MP_EXCH_C + #define BN_S_MP_SUB_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_GET_INT_C) +#endif + +#if defined(BN_MP_GROW_C) +#endif + +#if defined(BN_MP_INIT_C) +#endif + +#if defined(BN_MP_INIT_COPY_C) + #define BN_MP_COPY_C +#endif + +#if defined(BN_MP_INIT_MULTI_C) + #define BN_MP_ERR_C + #define BN_MP_INIT_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_INIT_SET_C) + #define BN_MP_INIT_C + #define BN_MP_SET_C +#endif + +#if defined(BN_MP_INIT_SET_INT_C) + #define BN_MP_INIT_C + #define BN_MP_SET_INT_C +#endif + +#if defined(BN_MP_INIT_SIZE_C) + #define BN_MP_INIT_C +#endif + +#if defined(BN_MP_INVMOD_C) + #define BN_MP_ISZERO_C + #define BN_MP_ISODD_C + #define BN_FAST_MP_INVMOD_C + #define BN_MP_INVMOD_SLOW_C +#endif + +#if defined(BN_MP_INVMOD_SLOW_C) + #define BN_MP_ISZERO_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_C + #define BN_MP_COPY_C + #define BN_MP_ISEVEN_C + #define BN_MP_SET_C + #define BN_MP_DIV_2_C + #define BN_MP_ISODD_C + #define BN_MP_ADD_C + #define BN_MP_SUB_C + #define BN_MP_CMP_C + #define BN_MP_CMP_D_C + #define BN_MP_CMP_MAG_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_IS_SQUARE_C) + #define BN_MP_MOD_D_C + #define BN_MP_INIT_SET_INT_C + #define BN_MP_MOD_C + #define BN_MP_GET_INT_C + #define BN_MP_SQRT_C + #define BN_MP_SQR_C + #define BN_MP_CMP_MAG_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_JACOBI_C) + #define BN_MP_CMP_D_C + #define BN_MP_ISZERO_C + #define BN_MP_INIT_COPY_C + #define BN_MP_CNT_LSB_C + #define BN_MP_DIV_2D_C + #define BN_MP_MOD_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_KARATSUBA_MUL_C) + #define BN_MP_MUL_C + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_SUB_C + #define BN_MP_ADD_C + #define BN_MP_LSHD_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_KARATSUBA_SQR_C) + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_SQR_C + #define BN_MP_SUB_C + #define BN_S_MP_ADD_C + #define BN_MP_LSHD_C + #define BN_MP_ADD_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_LCM_C) + #define BN_MP_INIT_MULTI_C + #define BN_MP_GCD_C + #define BN_MP_CMP_MAG_C + #define BN_MP_DIV_C + #define BN_MP_MUL_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_LSHD_C) + #define BN_MP_GROW_C + #define BN_MP_RSHD_C +#endif + +#if defined(BN_MP_MOD_C) + #define BN_MP_INIT_C + #define BN_MP_DIV_C + #define BN_MP_CLEAR_C + #define BN_MP_ADD_C + #define BN_MP_EXCH_C +#endif + +#if defined(BN_MP_MOD_2D_C) + #define BN_MP_ZERO_C + #define BN_MP_COPY_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MOD_D_C) + #define BN_MP_DIV_D_C +#endif + +#if defined(BN_MP_MONTGOMERY_CALC_NORMALIZATION_C) + #define BN_MP_COUNT_BITS_C + #define BN_MP_2EXPT_C + #define BN_MP_SET_C + #define BN_MP_MUL_2_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_MONTGOMERY_REDUCE_C) + #define BN_FAST_MP_MONTGOMERY_REDUCE_C + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C + #define BN_MP_RSHD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_MONTGOMERY_SETUP_C) +#endif + +#if defined(BN_MP_MUL_C) + #define BN_MP_TOOM_MUL_C + #define BN_MP_KARATSUBA_MUL_C + #define BN_FAST_S_MP_MUL_DIGS_C + #define BN_S_MP_MUL_C + #define BN_S_MP_MUL_DIGS_C +#endif + +#if defined(BN_MP_MUL_2_C) + #define BN_MP_GROW_C +#endif + +#if defined(BN_MP_MUL_2D_C) + #define BN_MP_COPY_C + #define BN_MP_GROW_C + #define BN_MP_LSHD_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MUL_D_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MULMOD_C) + #define BN_MP_INIT_C + #define BN_MP_MUL_C + #define BN_MP_CLEAR_C + #define BN_MP_MOD_C +#endif + +#if defined(BN_MP_N_ROOT_C) + #define BN_MP_INIT_C + #define BN_MP_SET_C + #define BN_MP_COPY_C + #define BN_MP_EXPT_D_C + #define BN_MP_MUL_C + #define BN_MP_SUB_C + #define BN_MP_MUL_D_C + #define BN_MP_DIV_C + #define BN_MP_CMP_C + #define BN_MP_SUB_D_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_NEG_C) + #define BN_MP_COPY_C + #define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_OR_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_FERMAT_C) + #define BN_MP_CMP_D_C + #define BN_MP_INIT_C + #define BN_MP_EXPTMOD_C + #define BN_MP_CMP_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_IS_DIVISIBLE_C) + #define BN_MP_MOD_D_C +#endif + +#if defined(BN_MP_PRIME_IS_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_PRIME_IS_DIVISIBLE_C + #define BN_MP_INIT_C + #define BN_MP_SET_C + #define BN_MP_PRIME_MILLER_RABIN_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_MILLER_RABIN_C) + #define BN_MP_CMP_D_C + #define BN_MP_INIT_COPY_C + #define BN_MP_SUB_D_C + #define BN_MP_CNT_LSB_C + #define BN_MP_DIV_2D_C + #define BN_MP_EXPTMOD_C + #define BN_MP_CMP_C + #define BN_MP_SQRMOD_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_NEXT_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_SET_C + #define BN_MP_SUB_D_C + #define BN_MP_ISEVEN_C + #define BN_MP_MOD_D_C + #define BN_MP_INIT_C + #define BN_MP_ADD_D_C + #define BN_MP_PRIME_MILLER_RABIN_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_RABIN_MILLER_TRIALS_C) +#endif + +#if defined(BN_MP_PRIME_RANDOM_EX_C) + #define BN_MP_READ_UNSIGNED_BIN_C + #define BN_MP_PRIME_IS_PRIME_C + #define BN_MP_SUB_D_C + #define BN_MP_DIV_2_C + #define BN_MP_MUL_2_C + #define BN_MP_ADD_D_C +#endif + +#if defined(BN_MP_RADIX_SIZE_C) + #define BN_MP_COUNT_BITS_C + #define BN_MP_INIT_COPY_C + #define BN_MP_ISZERO_C + #define BN_MP_DIV_D_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_RADIX_SMAP_C) + #define BN_MP_S_RMAP_C +#endif + +#if defined(BN_MP_RAND_C) + #define BN_MP_ZERO_C + #define BN_MP_ADD_D_C + #define BN_MP_LSHD_C +#endif + +#if defined(BN_MP_READ_RADIX_C) + #define BN_MP_ZERO_C + #define BN_MP_S_RMAP_C + #define BN_MP_RADIX_SMAP_C + #define BN_MP_MUL_D_C + #define BN_MP_ADD_D_C + #define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_READ_SIGNED_BIN_C) + #define BN_MP_READ_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_READ_UNSIGNED_BIN_C) + #define BN_MP_GROW_C + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_REDUCE_C) + #define BN_MP_REDUCE_SETUP_C + #define BN_MP_INIT_COPY_C + #define BN_MP_RSHD_C + #define BN_MP_MUL_C + #define BN_S_MP_MUL_HIGH_DIGS_C + #define BN_FAST_S_MP_MUL_HIGH_DIGS_C + #define BN_MP_MOD_2D_C + #define BN_S_MP_MUL_DIGS_C + #define BN_MP_SUB_C + #define BN_MP_CMP_D_C + #define BN_MP_SET_C + #define BN_MP_LSHD_C + #define BN_MP_ADD_C + #define BN_MP_CMP_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_C) + #define BN_MP_INIT_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_MUL_D_C + #define BN_S_MP_ADD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_L_C) + #define BN_MP_INIT_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_MUL_C + #define BN_S_MP_ADD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_SETUP_C) + #define BN_MP_INIT_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_2EXPT_C + #define BN_MP_CLEAR_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_REDUCE_2K_SETUP_L_C) + #define BN_MP_INIT_C + #define BN_MP_2EXPT_C + #define BN_MP_COUNT_BITS_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_IS_2K_C) + #define BN_MP_REDUCE_2K_C + #define BN_MP_COUNT_BITS_C +#endif + +#if defined(BN_MP_REDUCE_IS_2K_L_C) +#endif + +#if defined(BN_MP_REDUCE_SETUP_C) + #define BN_MP_2EXPT_C + #define BN_MP_DIV_C +#endif + +#if defined(BN_MP_RSHD_C) + #define BN_MP_ZERO_C +#endif + +#if defined(BN_MP_SET_C) + #define BN_MP_ZERO_C +#endif + +#if defined(BN_MP_SET_INT_C) + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_SHRINK_C) +#endif + +#if defined(BN_MP_SIGNED_BIN_SIZE_C) + #define BN_MP_UNSIGNED_BIN_SIZE_C +#endif + +#if defined(BN_MP_SQR_C) + #define BN_MP_TOOM_SQR_C + #define BN_MP_KARATSUBA_SQR_C + #define BN_FAST_S_MP_SQR_C + #define BN_S_MP_SQR_C +#endif + +#if defined(BN_MP_SQRMOD_C) + #define BN_MP_INIT_C + #define BN_MP_SQR_C + #define BN_MP_CLEAR_C + #define BN_MP_MOD_C +#endif + +#if defined(BN_MP_SQRT_C) + #define BN_MP_N_ROOT_C + #define BN_MP_ISZERO_C + #define BN_MP_ZERO_C + #define BN_MP_INIT_COPY_C + #define BN_MP_RSHD_C + #define BN_MP_DIV_C + #define BN_MP_ADD_C + #define BN_MP_DIV_2_C + #define BN_MP_CMP_MAG_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_SUB_C) + #define BN_S_MP_ADD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_SUB_D_C) + #define BN_MP_GROW_C + #define BN_MP_ADD_D_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_SUBMOD_C) + #define BN_MP_INIT_C + #define BN_MP_SUB_C + #define BN_MP_CLEAR_C + #define BN_MP_MOD_C +#endif + +#if defined(BN_MP_TO_SIGNED_BIN_C) + #define BN_MP_TO_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_TO_SIGNED_BIN_N_C) + #define BN_MP_SIGNED_BIN_SIZE_C + #define BN_MP_TO_SIGNED_BIN_C +#endif + +#if defined(BN_MP_TO_UNSIGNED_BIN_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_ISZERO_C + #define BN_MP_DIV_2D_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_TO_UNSIGNED_BIN_N_C) + #define BN_MP_UNSIGNED_BIN_SIZE_C + #define BN_MP_TO_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_TOOM_MUL_C) + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_2D_C + #define BN_MP_COPY_C + #define BN_MP_RSHD_C + #define BN_MP_MUL_C + #define BN_MP_MUL_2_C + #define BN_MP_ADD_C + #define BN_MP_SUB_C + #define BN_MP_DIV_2_C + #define BN_MP_MUL_2D_C + #define BN_MP_MUL_D_C + #define BN_MP_DIV_3_C + #define BN_MP_LSHD_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_TOOM_SQR_C) + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_2D_C + #define BN_MP_COPY_C + #define BN_MP_RSHD_C + #define BN_MP_SQR_C + #define BN_MP_MUL_2_C + #define BN_MP_ADD_C + #define BN_MP_SUB_C + #define BN_MP_DIV_2_C + #define BN_MP_MUL_2D_C + #define BN_MP_MUL_D_C + #define BN_MP_DIV_3_C + #define BN_MP_LSHD_C + #define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_TORADIX_C) + #define BN_MP_ISZERO_C + #define BN_MP_INIT_COPY_C + #define BN_MP_DIV_D_C + #define BN_MP_CLEAR_C + #define BN_MP_S_RMAP_C +#endif + +#if defined(BN_MP_TORADIX_N_C) + #define BN_MP_ISZERO_C + #define BN_MP_INIT_COPY_C + #define BN_MP_DIV_D_C + #define BN_MP_CLEAR_C + #define BN_MP_S_RMAP_C +#endif + +#if defined(BN_MP_UNSIGNED_BIN_SIZE_C) + #define BN_MP_COUNT_BITS_C +#endif + +#if defined(BN_MP_XOR_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_ZERO_C) +#endif + +#if defined(BN_PRIME_TAB_C) +#endif + +#if defined(BN_REVERSE_C) +#endif + +#if defined(BN_S_MP_ADD_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BN_S_MP_EXPTMOD_C) + #define BN_MP_COUNT_BITS_C + #define BN_MP_INIT_C + #define BN_MP_CLEAR_C + #define BN_MP_REDUCE_SETUP_C + #define BN_MP_REDUCE_C + #define BN_MP_REDUCE_2K_SETUP_L_C + #define BN_MP_REDUCE_2K_L_C + #define BN_MP_MOD_C + #define BN_MP_COPY_C + #define BN_MP_SQR_C + #define BN_MP_MUL_C + #define BN_MP_SET_C + #define BN_MP_EXCH_C +#endif + +#if defined(BN_S_MP_MUL_DIGS_C) + #define BN_FAST_S_MP_MUL_DIGS_C + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_MUL_HIGH_DIGS_C) + #define BN_FAST_S_MP_MUL_HIGH_DIGS_C + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_SQR_C) + #define BN_MP_INIT_SIZE_C + #define BN_MP_CLAMP_C + #define BN_MP_EXCH_C + #define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_SUB_C) + #define BN_MP_GROW_C + #define BN_MP_CLAMP_C +#endif + +#if defined(BNCORE_C) +#endif + +#ifdef LTM3 +#define LTM_LAST +#endif +#include <tommath_superclass.h> +#include <tommath_class.h> +#else +#define LTM_LAST +#endif + +/* $Source: /cvs/libtom/libtommath/tommath_class.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/07/28 11:59:32 $ */ diff --git a/source4/heimdal/lib/hcrypto/libtommath/tommath_superclass.h b/source4/heimdal/lib/hcrypto/libtommath/tommath_superclass.h new file mode 100644 index 0000000000..2fdebe6838 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/libtommath/tommath_superclass.h @@ -0,0 +1,76 @@ +/* super class file for PK algos */ + +/* default ... include all MPI */ +#define LTM_ALL + +/* RSA only (does not support DH/DSA/ECC) */ +/* #define SC_RSA_1 */ + +/* For reference.... On an Athlon64 optimizing for speed... + + LTM's mpi.o with all functions [striped] is 142KiB in size. + +*/ + +/* Works for RSA only, mpi.o is 68KiB */ +#ifdef SC_RSA_1 + #define BN_MP_SHRINK_C + #define BN_MP_LCM_C + #define BN_MP_PRIME_RANDOM_EX_C + #define BN_MP_INVMOD_C + #define BN_MP_GCD_C + #define BN_MP_MOD_C + #define BN_MP_MULMOD_C + #define BN_MP_ADDMOD_C + #define BN_MP_EXPTMOD_C + #define BN_MP_SET_INT_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_CLEAR_MULTI_C + #define BN_MP_UNSIGNED_BIN_SIZE_C + #define BN_MP_TO_UNSIGNED_BIN_C + #define BN_MP_MOD_D_C + #define BN_MP_PRIME_RABIN_MILLER_TRIALS_C + #define BN_REVERSE_C + #define BN_PRIME_TAB_C + + /* other modifiers */ + #define BN_MP_DIV_SMALL /* Slower division, not critical */ + + /* here we are on the last pass so we turn things off. The functions classes are still there + * but we remove them specifically from the build. This also invokes tweaks in functions + * like removing support for even moduli, etc... + */ +#ifdef LTM_LAST + #undef BN_MP_TOOM_MUL_C + #undef BN_MP_TOOM_SQR_C + #undef BN_MP_KARATSUBA_MUL_C + #undef BN_MP_KARATSUBA_SQR_C + #undef BN_MP_REDUCE_C + #undef BN_MP_REDUCE_SETUP_C + #undef BN_MP_DR_IS_MODULUS_C + #undef BN_MP_DR_SETUP_C + #undef BN_MP_DR_REDUCE_C + #undef BN_MP_REDUCE_IS_2K_C + #undef BN_MP_REDUCE_2K_SETUP_C + #undef BN_MP_REDUCE_2K_C + #undef BN_S_MP_EXPTMOD_C + #undef BN_MP_DIV_3_C + #undef BN_S_MP_MUL_HIGH_DIGS_C + #undef BN_FAST_S_MP_MUL_HIGH_DIGS_C + #undef BN_FAST_MP_INVMOD_C + + /* To safely undefine these you have to make sure your RSA key won't exceed the Comba threshold + * which is roughly 255 digits [7140 bits for 32-bit machines, 15300 bits for 64-bit machines] + * which means roughly speaking you can handle upto 2536-bit RSA keys with these defined without + * trouble. + */ + #undef BN_S_MP_MUL_DIGS_C + #undef BN_S_MP_SQR_C + #undef BN_MP_MONTGOMERY_REDUCE_C +#endif + +#endif + +/* $Source: /cvs/libtom/libtommath/tommath_superclass.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/05/14 13:29:17 $ */ diff --git a/source4/heimdal/lib/hcrypto/md4.c b/source4/heimdal/lib/hcrypto/md4.c index 435e662a42..1a9f77fed2 100644 --- a/source4/heimdal/lib/hcrypto/md4.c +++ b/source4/heimdal/lib/hcrypto/md4.c @@ -191,10 +191,10 @@ MD4_Update (struct md4 *m, const void *v, size_t len) #if defined(WORDS_BIGENDIAN) int i; uint32_t current[16]; - struct x32 *u = (struct x32*)m->save; + struct x32 *us = (struct x32*)m->save; for(i = 0; i < 8; i++){ - current[2*i+0] = swap_uint32_t(u[i].a); - current[2*i+1] = swap_uint32_t(u[i].b); + current[2*i+0] = swap_uint32_t(us[i].a); + current[2*i+1] = swap_uint32_t(us[i].b); } calc(m, current); #else diff --git a/source4/heimdal/lib/hcrypto/md5.c b/source4/heimdal/lib/hcrypto/md5.c index f99078737b..b35c76e293 100644 --- a/source4/heimdal/lib/hcrypto/md5.c +++ b/source4/heimdal/lib/hcrypto/md5.c @@ -215,10 +215,10 @@ MD5_Update (struct md5 *m, const void *v, size_t len) #if defined(WORDS_BIGENDIAN) int i; uint32_t current[16]; - struct x32 *u = (struct x32*)m->save; + struct x32 *us = (struct x32*)m->save; for(i = 0; i < 8; i++){ - current[2*i+0] = swap_uint32_t(u[i].a); - current[2*i+1] = swap_uint32_t(u[i].b); + current[2*i+0] = swap_uint32_t(us[i].a); + current[2*i+1] = swap_uint32_t(us[i].b); } calc(m, current); #else diff --git a/source4/heimdal/lib/hcrypto/rand-fortuna.c b/source4/heimdal/lib/hcrypto/rand-fortuna.c index c81eb9e2d7..11027b46cf 100644 --- a/source4/heimdal/lib/hcrypto/rand-fortuna.c +++ b/source4/heimdal/lib/hcrypto/rand-fortuna.c @@ -34,6 +34,7 @@ #include <stdio.h> #include <stdlib.h> #include <rand.h> +#include <heim_threads.h> #ifdef KRB5 #include <krb5-types.h> @@ -442,10 +443,20 @@ static int have_entropy; static unsigned resend_bytes; /* + * This mutex protects all of the above static elements from concurrent + * access by multiple threads + */ +static HEIMDAL_MUTEX fortuna_mutex = HEIMDAL_MUTEX_INITIALIZER; + +/* * Try our best to do an inital seed */ #define INIT_BYTES 128 +/* + * fortuna_mutex must be held across calls to this function + */ + static int fortuna_reseed(void) { @@ -537,6 +548,9 @@ fortuna_reseed(void) return entropy_p; } +/* + * fortuna_mutex must be held by callers of this function + */ static int fortuna_init(void) { @@ -555,32 +569,50 @@ fortuna_init(void) static void fortuna_seed(const void *indata, int size) { + HEIMDAL_MUTEX_lock(&fortuna_mutex); + fortuna_init(); add_entropy(&main_state, indata, size); if (size >= INIT_BYTES) have_entropy = 1; + + HEIMDAL_MUTEX_unlock(&fortuna_mutex); } static int fortuna_bytes(unsigned char *outdata, int size) { + int ret = 0; + + HEIMDAL_MUTEX_lock(&fortuna_mutex); + if (!fortuna_init()) - return 0; + goto out; + resend_bytes += size; if (resend_bytes > FORTUNA_RESEED_BYTE || resend_bytes < size) { resend_bytes = 0; fortuna_reseed(); } extract_data(&main_state, size, outdata); - return 1; + ret = 1; + +out: + HEIMDAL_MUTEX_unlock(&fortuna_mutex); + + return ret; } static void fortuna_cleanup(void) { + HEIMDAL_MUTEX_lock(&fortuna_mutex); + init_done = 0; have_entropy = 0; memset(&main_state, 0, sizeof(main_state)); + + HEIMDAL_MUTEX_unlock(&fortuna_mutex); } static void @@ -598,7 +630,13 @@ fortuna_pseudorand(unsigned char *outdata, int size) static int fortuna_status(void) { - return fortuna_init() ? 1 : 0; + int result; + + HEIMDAL_MUTEX_lock(&fortuna_mutex); + result = fortuna_init(); + HEIMDAL_MUTEX_unlock(&fortuna_mutex); + + return result ? 1 : 0; } const RAND_METHOD hc_rand_fortuna_method = { diff --git a/source4/heimdal/lib/hcrypto/rand-unix.c b/source4/heimdal/lib/hcrypto/rand-unix.c index 63dc97fbfa..c52155baaa 100644 --- a/source4/heimdal/lib/hcrypto/rand-unix.c +++ b/source4/heimdal/lib/hcrypto/rand-unix.c @@ -47,7 +47,7 @@ */ int -_hc_unix_device_fd(int flags, char **fn) +_hc_unix_device_fd(int flags, const char **fn) { static const char *rnd_devices[] = { "/dev/urandom", diff --git a/source4/heimdal/lib/hcrypto/rand.c b/source4/heimdal/lib/hcrypto/rand.c index d360ffcab4..d5c1f687b9 100644 --- a/source4/heimdal/lib/hcrypto/rand.c +++ b/source4/heimdal/lib/hcrypto/rand.c @@ -46,6 +46,10 @@ #define O_BINARY 0 #endif +#ifdef _WIN32 +#include<shlobj.h> +#endif + /** * @page page_rand RAND - random number * @@ -342,7 +346,7 @@ RAND_write_file(const char *filename) const char * RAND_file_name(char *filename, size_t size) { - char *e = NULL; + const char *e = NULL; int pathp = 0, ret; if (!issuid()) { @@ -352,6 +356,8 @@ RAND_file_name(char *filename, size_t size) if (e) pathp = 1; } + +#ifndef _WIN32 /* * Here we really want to call getpwuid(getuid()) but this will * cause recursive lookups if the nss library uses @@ -359,7 +365,6 @@ RAND_file_name(char *filename, size_t size) * * So at least return the unix /dev/random if we have one */ -#ifndef _WIN32 if (e == NULL) { int fd; @@ -367,7 +372,22 @@ RAND_file_name(char *filename, size_t size) if (fd >= 0) close(fd); } +#else /* Win32 */ + + if (e == NULL) { + char profile[MAX_PATH]; + + if (SHGetFolderPath(NULL, CSIDL_LOCAL_APPDATA, NULL, + SHGFP_TYPE_CURRENT, profile) == S_OK) { + ret = snprintf(filename, size, "%s\\.rnd", profile); + + if (ret > 0 && ret < size) + return filename; + } + } + #endif + if (e == NULL) return NULL; diff --git a/source4/heimdal/lib/hcrypto/rand.h b/source4/heimdal/lib/hcrypto/rand.h index f4e2485166..590bd8cf1a 100644 --- a/source4/heimdal/lib/hcrypto/rand.h +++ b/source4/heimdal/lib/hcrypto/rand.h @@ -41,7 +41,6 @@ typedef struct RAND_METHOD RAND_METHOD; -#include <hcrypto/bn.h> #include <hcrypto/engine.h> /* symbol renaming */ @@ -105,5 +104,6 @@ int RAND_egd_bytes(const char *, int); const RAND_METHOD * RAND_fortuna_method(void); const RAND_METHOD * RAND_unix_method(void); const RAND_METHOD * RAND_egd_method(void); +const RAND_METHOD * RAND_w32crypto_method(void); #endif /* _HEIM_RAND_H */ diff --git a/source4/heimdal/lib/hcrypto/randi.h b/source4/heimdal/lib/hcrypto/randi.h index a6d921413a..fe021a80ec 100644 --- a/source4/heimdal/lib/hcrypto/randi.h +++ b/source4/heimdal/lib/hcrypto/randi.h @@ -45,6 +45,6 @@ extern const RAND_METHOD hc_rand_timer_method; extern const RAND_METHOD hc_rand_w32crypto_method; const RAND_METHOD * RAND_timer_method(void); -int _hc_unix_device_fd(int, char **); +int _hc_unix_device_fd(int, const char **); #endif /* _HEIM_RANDI_H */ diff --git a/source4/heimdal/lib/hcrypto/rijndael-alg-fst.c b/source4/heimdal/lib/hcrypto/rijndael-alg-fst.c index 9a7f0fd3d6..bf335afd9f 100644 --- a/source4/heimdal/lib/hcrypto/rijndael-alg-fst.c +++ b/source4/heimdal/lib/hcrypto/rijndael-alg-fst.c @@ -38,11 +38,6 @@ #include "rijndael-alg-fst.h" -/* the file should not be used from outside */ -typedef uint8_t u8; -typedef uint16_t u16; -typedef uint32_t u32; - /* Te0[x] = S [x].[02, 01, 01, 03]; Te1[x] = S [x].[03, 02, 01, 01]; @@ -57,7 +52,7 @@ Td3[x] = Si[x].[09, 0d, 0b, 0e]; Td4[x] = Si[x].[01, 01, 01, 01]; */ -static const u32 Te0[256] = { +static const uint32_t Te0[256] = { 0xc66363a5U, 0xf87c7c84U, 0xee777799U, 0xf67b7b8dU, 0xfff2f20dU, 0xd66b6bbdU, 0xde6f6fb1U, 0x91c5c554U, 0x60303050U, 0x02010103U, 0xce6767a9U, 0x562b2b7dU, @@ -123,7 +118,7 @@ static const u32 Te0[256] = { 0x824141c3U, 0x299999b0U, 0x5a2d2d77U, 0x1e0f0f11U, 0x7bb0b0cbU, 0xa85454fcU, 0x6dbbbbd6U, 0x2c16163aU, }; -static const u32 Te1[256] = { +static const uint32_t Te1[256] = { 0xa5c66363U, 0x84f87c7cU, 0x99ee7777U, 0x8df67b7bU, 0x0dfff2f2U, 0xbdd66b6bU, 0xb1de6f6fU, 0x5491c5c5U, 0x50603030U, 0x03020101U, 0xa9ce6767U, 0x7d562b2bU, @@ -189,7 +184,7 @@ static const u32 Te1[256] = { 0xc3824141U, 0xb0299999U, 0x775a2d2dU, 0x111e0f0fU, 0xcb7bb0b0U, 0xfca85454U, 0xd66dbbbbU, 0x3a2c1616U, }; -static const u32 Te2[256] = { +static const uint32_t Te2[256] = { 0x63a5c663U, 0x7c84f87cU, 0x7799ee77U, 0x7b8df67bU, 0xf20dfff2U, 0x6bbdd66bU, 0x6fb1de6fU, 0xc55491c5U, 0x30506030U, 0x01030201U, 0x67a9ce67U, 0x2b7d562bU, @@ -255,7 +250,7 @@ static const u32 Te2[256] = { 0x41c38241U, 0x99b02999U, 0x2d775a2dU, 0x0f111e0fU, 0xb0cb7bb0U, 0x54fca854U, 0xbbd66dbbU, 0x163a2c16U, }; -static const u32 Te3[256] = { +static const uint32_t Te3[256] = { 0x6363a5c6U, 0x7c7c84f8U, 0x777799eeU, 0x7b7b8df6U, 0xf2f20dffU, 0x6b6bbdd6U, 0x6f6fb1deU, 0xc5c55491U, @@ -322,7 +317,7 @@ static const u32 Te3[256] = { 0x4141c382U, 0x9999b029U, 0x2d2d775aU, 0x0f0f111eU, 0xb0b0cb7bU, 0x5454fca8U, 0xbbbbd66dU, 0x16163a2cU, }; -static const u32 Te4[256] = { +static const uint32_t Te4[256] = { 0x63636363U, 0x7c7c7c7cU, 0x77777777U, 0x7b7b7b7bU, 0xf2f2f2f2U, 0x6b6b6b6bU, 0x6f6f6f6fU, 0xc5c5c5c5U, 0x30303030U, 0x01010101U, 0x67676767U, 0x2b2b2b2bU, @@ -388,7 +383,7 @@ static const u32 Te4[256] = { 0x41414141U, 0x99999999U, 0x2d2d2d2dU, 0x0f0f0f0fU, 0xb0b0b0b0U, 0x54545454U, 0xbbbbbbbbU, 0x16161616U, }; -static const u32 Td0[256] = { +static const uint32_t Td0[256] = { 0x51f4a750U, 0x7e416553U, 0x1a17a4c3U, 0x3a275e96U, 0x3bab6bcbU, 0x1f9d45f1U, 0xacfa58abU, 0x4be30393U, 0x2030fa55U, 0xad766df6U, 0x88cc7691U, 0xf5024c25U, @@ -454,7 +449,7 @@ static const u32 Td0[256] = { 0x39a80171U, 0x080cb3deU, 0xd8b4e49cU, 0x6456c190U, 0x7bcb8461U, 0xd532b670U, 0x486c5c74U, 0xd0b85742U, }; -static const u32 Td1[256] = { +static const uint32_t Td1[256] = { 0x5051f4a7U, 0x537e4165U, 0xc31a17a4U, 0x963a275eU, 0xcb3bab6bU, 0xf11f9d45U, 0xabacfa58U, 0x934be303U, 0x552030faU, 0xf6ad766dU, 0x9188cc76U, 0x25f5024cU, @@ -520,7 +515,7 @@ static const u32 Td1[256] = { 0x7139a801U, 0xde080cb3U, 0x9cd8b4e4U, 0x906456c1U, 0x617bcb84U, 0x70d532b6U, 0x74486c5cU, 0x42d0b857U, }; -static const u32 Td2[256] = { +static const uint32_t Td2[256] = { 0xa75051f4U, 0x65537e41U, 0xa4c31a17U, 0x5e963a27U, 0x6bcb3babU, 0x45f11f9dU, 0x58abacfaU, 0x03934be3U, 0xfa552030U, 0x6df6ad76U, 0x769188ccU, 0x4c25f502U, @@ -587,7 +582,7 @@ static const u32 Td2[256] = { 0x017139a8U, 0xb3de080cU, 0xe49cd8b4U, 0xc1906456U, 0x84617bcbU, 0xb670d532U, 0x5c74486cU, 0x5742d0b8U, }; -static const u32 Td3[256] = { +static const uint32_t Td3[256] = { 0xf4a75051U, 0x4165537eU, 0x17a4c31aU, 0x275e963aU, 0xab6bcb3bU, 0x9d45f11fU, 0xfa58abacU, 0xe303934bU, 0x30fa5520U, 0x766df6adU, 0xcc769188U, 0x024c25f5U, @@ -653,7 +648,7 @@ static const u32 Td3[256] = { 0xa8017139U, 0x0cb3de08U, 0xb4e49cd8U, 0x56c19064U, 0xcb84617bU, 0x32b670d5U, 0x6c5c7448U, 0xb85742d0U, }; -static const u32 Td4[256] = { +static const uint32_t Td4[256] = { 0x52525252U, 0x09090909U, 0x6a6a6a6aU, 0xd5d5d5d5U, 0x30303030U, 0x36363636U, 0xa5a5a5a5U, 0x38383838U, 0xbfbfbfbfU, 0x40404040U, 0xa3a3a3a3U, 0x9e9e9e9eU, @@ -719,7 +714,7 @@ static const u32 Td4[256] = { 0xe1e1e1e1U, 0x69696969U, 0x14141414U, 0x63636363U, 0x55555555U, 0x21212121U, 0x0c0c0c0cU, 0x7d7d7d7dU, }; -static const u32 rcon[] = { +static const uint32_t rcon[] = { 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000, 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000, /* for 128-bit blocks, Rijndael never uses more than 10 rcon values */ @@ -728,11 +723,11 @@ static const u32 rcon[] = { #define SWAP(x) (_lrotl(x, 8) & 0x00ff00ff | _lrotr(x, 8) & 0xff00ff00) #ifdef _MSC_VER -#define GETU32(p) SWAP(*((u32 *)(p))) -#define PUTU32(ct, st) { *((u32 *)(ct)) = SWAP((st)); } +#define GETU32(p) SWAP(*((uint32_t *)(p))) +#define PUTU32(ct, st) { *((uint32_t *)(ct)) = SWAP((st)); } #else -#define GETU32(pt) (((u32)(pt)[0] << 24) ^ ((u32)(pt)[1] << 16) ^ ((u32)(pt)[2] << 8) ^ ((u32)(pt)[3])) -#define PUTU32(ct, st) { (ct)[0] = (u8)((st) >> 24); (ct)[1] = (u8)((st) >> 16); (ct)[2] = (u8)((st) >> 8); (ct)[3] = (u8)(st); } +#define GETU32(pt) (((uint32_t)(pt)[0] << 24) ^ ((uint32_t)(pt)[1] << 16) ^ ((uint32_t)(pt)[2] << 8) ^ ((uint32_t)(pt)[3])) +#define PUTU32(ct, st) { (ct)[0] = (uint8_t)((st) >> 24); (ct)[1] = (uint8_t)((st) >> 16); (ct)[2] = (uint8_t)((st) >> 8); (ct)[3] = (uint8_t)(st); } #endif /** @@ -740,9 +735,9 @@ static const u32 rcon[] = { * * @return the number of rounds for the given cipher key size. */ -int rijndaelKeySetupEnc(u32 rk[/*4*(Nr + 1)*/], const u8 cipherKey[], int keyBits) { +int rijndaelKeySetupEnc(uint32_t rk[/*4*(Nr + 1)*/], const uint8_t cipherKey[], int keyBits) { int i = 0; - u32 temp; + uint32_t temp; rk[0] = GETU32(cipherKey ); rk[1] = GETU32(cipherKey + 4); @@ -826,9 +821,9 @@ int rijndaelKeySetupEnc(u32 rk[/*4*(Nr + 1)*/], const u8 cipherKey[], int keyBit * * @return the number of rounds for the given cipher key size. */ -int rijndaelKeySetupDec(u32 rk[/*4*(Nr + 1)*/], const u8 cipherKey[], int keyBits) { +int rijndaelKeySetupDec(uint32_t rk[/*4*(Nr + 1)*/], const uint8_t cipherKey[], int keyBits) { int Nr, i, j; - u32 temp; + uint32_t temp; /* expand the cipher key: */ Nr = rijndaelKeySetupEnc(rk, cipherKey, keyBits); @@ -866,8 +861,8 @@ int rijndaelKeySetupDec(u32 rk[/*4*(Nr + 1)*/], const u8 cipherKey[], int keyBit return Nr; } -void rijndaelEncrypt(const u32 rk[/*4*(Nr + 1)*/], int Nr, const u8 pt[16], u8 ct[16]) { - u32 s0, s1, s2, s3, t0, t1, t2, t3; +void rijndaelEncrypt(const uint32_t rk[/*4*(Nr + 1)*/], int Nr, const uint8_t pt[16], uint8_t ct[16]) { + uint32_t s0, s1, s2, s3, t0, t1, t2, t3; #ifndef FULL_UNROLL int r; #endif /* ?FULL_UNROLL */ @@ -1047,8 +1042,8 @@ void rijndaelEncrypt(const u32 rk[/*4*(Nr + 1)*/], int Nr, const u8 pt[16], u8 c PUTU32(ct + 12, s3); } -void rijndaelDecrypt(const u32 rk[/*4*(Nr + 1)*/], int Nr, const u8 ct[16], u8 pt[16]) { - u32 s0, s1, s2, s3, t0, t1, t2, t3; +void rijndaelDecrypt(const uint32_t rk[/*4*(Nr + 1)*/], int Nr, const uint8_t ct[16], uint8_t pt[16]) { + uint32_t s0, s1, s2, s3, t0, t1, t2, t3; #ifndef FULL_UNROLL int r; #endif /* ?FULL_UNROLL */ diff --git a/source4/heimdal/lib/hcrypto/rsa-imath.c b/source4/heimdal/lib/hcrypto/rsa-imath.c index a2b9d2a678..23d5352700 100644 --- a/source4/heimdal/lib/hcrypto/rsa-imath.c +++ b/source4/heimdal/lib/hcrypto/rsa-imath.c @@ -42,6 +42,8 @@ #include <roken.h> +#ifdef USE_HCRYPTO_IMATH + #include "imath/imath.h" #include "imath/iprime.h" @@ -406,7 +408,7 @@ imath_rsa_private_decrypt(int flen, const unsigned char* from, { unsigned char *ptr; mp_result res; - size_t size; + int size; mpz_t in, out, n, e, b, bi; int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; int do_unblind = 0; @@ -673,9 +675,14 @@ const RSA_METHOD hc_rsa_imath_method = { NULL, imath_rsa_generate_key }; +#endif const RSA_METHOD * RSA_imath_method(void) { +#ifdef USE_HCRYPTO_IMATH return &hc_rsa_imath_method; +#else + return NULL; +#endif } diff --git a/source4/heimdal/lib/hcrypto/rsa-ltm.c b/source4/heimdal/lib/hcrypto/rsa-ltm.c new file mode 100644 index 0000000000..ad3686e403 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/rsa-ltm.c @@ -0,0 +1,630 @@ +/* + * Copyright (c) 2006 - 2007, 2010 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#include <config.h> + +#include <stdio.h> +#include <stdlib.h> +#include <krb5-types.h> +#include <assert.h> + +#include <rsa.h> + +#include <roken.h> + +#include "tommath.h" + +static int +random_num(mp_int *num, size_t len) +{ + unsigned char *p; + + len = (len + 7) / 8; + p = malloc(len); + if (p == NULL) + return 1; + if (RAND_bytes(p, len) != 1) { + free(p); + return 1; + } + mp_read_unsigned_bin(num, p, len); + free(p); + return 0; +} + +static void +BN2mpz(mp_int *s, const BIGNUM *bn) +{ + size_t len; + void *p; + + len = BN_num_bytes(bn); + p = malloc(len); + BN_bn2bin(bn, p); + mp_read_unsigned_bin(s, p, len); + free(p); +} + +static void +setup_blind(mp_int *n, mp_int *b, mp_int *bi) +{ + random_num(b, mp_count_bits(n)); + mp_mod(b, n, b); + mp_invmod(b, n, bi); +} + +static void +blind(mp_int *in, mp_int *b, mp_int *e, mp_int *n) +{ + mp_int t1; + mp_init(&t1); + /* in' = (in * b^e) mod n */ + mp_exptmod(b, e, n, &t1); + mp_mul(&t1, in, in); + mp_mod(in, n, in); + mp_clear(&t1); +} + +static void +unblind(mp_int *out, mp_int *bi, mp_int *n) +{ + /* out' = (out * 1/b) mod n */ + mp_mul(out, bi, out); + mp_mod(out, n, out); +} + +static int +ltm_rsa_private_calculate(mp_int * in, mp_int * p, mp_int * q, + mp_int * dmp1, mp_int * dmq1, mp_int * iqmp, + mp_int * out) +{ + mp_int vp, vq, u; + + mp_init_multi(&vp, &vq, &u, NULL); + + /* vq = c ^ (d mod (q - 1)) mod q */ + /* vp = c ^ (d mod (p - 1)) mod p */ + mp_mod(in, p, &u); + mp_exptmod(&u, dmp1, p, &vp); + mp_mod(in, q, &u); + mp_exptmod(&u, dmq1, q, &vq); + + /* C2 = 1/q mod p (iqmp) */ + /* u = (vp - vq)C2 mod p. */ + mp_sub(&vp, &vq, &u); + if (mp_isneg(&u)) + mp_add(&u, p, &u); + mp_mul(&u, iqmp, &u); + mp_mod(&u, p, &u); + + /* c ^ d mod n = vq + u q */ + mp_mul(&u, q, &u); + mp_add(&u, &vq, out); + + mp_clear_multi(&vp, &vq, &u, NULL); + + return 0; +} + +/* + * + */ + +static int +ltm_rsa_public_encrypt(int flen, const unsigned char* from, + unsigned char* to, RSA* rsa, int padding) +{ + unsigned char *p, *p0; + int res; + size_t size, padlen; + mp_int enc, dec, n, e; + + if (padding != RSA_PKCS1_PADDING) + return -1; + + mp_init_multi(&n, &e, &enc, &dec, NULL); + + size = RSA_size(rsa); + + if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) { + mp_clear_multi(&n, &e, &enc, &dec); + return -2; + } + + BN2mpz(&n, rsa->n); + BN2mpz(&e, rsa->e); + + p = p0 = malloc(size - 1); + if (p0 == NULL) { + mp_clear_multi(&e, &n, &enc, &dec, NULL); + return -3; + } + + padlen = size - flen - 3; + + *p++ = 2; + if (RAND_bytes(p, padlen) != 1) { + mp_clear_multi(&e, &n, &enc, &dec, NULL); + free(p0); + return -4; + } + while(padlen) { + if (*p == 0) + *p = 1; + padlen--; + p++; + } + *p++ = 0; + memcpy(p, from, flen); + p += flen; + assert((p - p0) == size - 1); + + mp_read_unsigned_bin(&dec, p0, size - 1); + free(p0); + + res = mp_exptmod(&dec, &e, &n, &enc); + + mp_clear_multi(&dec, &e, &n, NULL); + + if (res != 0) { + mp_clear(&enc); + return -4; + } + + { + size_t ssize; + ssize = mp_unsigned_bin_size(&enc); + assert(size >= ssize); + mp_to_unsigned_bin(&enc, to); + size = ssize; + } + mp_clear(&enc); + + return size; +} + +static int +ltm_rsa_public_decrypt(int flen, const unsigned char* from, + unsigned char* to, RSA* rsa, int padding) +{ + unsigned char *p; + int res; + size_t size; + mp_int s, us, n, e; + + if (padding != RSA_PKCS1_PADDING) + return -1; + + if (flen > RSA_size(rsa)) + return -2; + + mp_init_multi(&e, &n, &s, &us, NULL); + + BN2mpz(&n, rsa->n); + BN2mpz(&e, rsa->e); + +#if 0 + /* Check that the exponent is larger then 3 */ + if (mp_int_compare_value(&e, 3) <= 0) { + mp_clear_multi(&e, &n, &s, &us, NULL); + return -3; + } +#endif + + mp_read_unsigned_bin(&s, rk_UNCONST(from), flen); + + if (mp_cmp(&s, &n) >= 0) { + mp_clear_multi(&e, &n, &s, &us, NULL); + return -4; + } + + res = mp_exptmod(&s, &e, &n, &us); + + mp_clear_multi(&e, &n, &s, NULL); + + if (res != 0) { + mp_clear(&us); + return -5; + } + p = to; + + + size = mp_unsigned_bin_size(&us); + assert(size <= RSA_size(rsa)); + mp_to_unsigned_bin(&us, p); + + mp_clear(&us); + + /* head zero was skipped by mp_to_unsigned_bin */ + if (*p == 0) + return -6; + if (*p != 1) + return -7; + size--; p++; + while (size && *p == 0xff) { + size--; p++; + } + if (size == 0 || *p != 0) + return -8; + size--; p++; + + memmove(to, p, size); + + return size; +} + +static int +ltm_rsa_private_encrypt(int flen, const unsigned char* from, + unsigned char* to, RSA* rsa, int padding) +{ + unsigned char *p, *p0; + int res; + int size; + mp_int in, out, n, e; + mp_int bi, b; + int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; + int do_unblind = 0; + + if (padding != RSA_PKCS1_PADDING) + return -1; + + mp_init_multi(&e, &n, &in, &out, &b, &bi, NULL); + + size = RSA_size(rsa); + + if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) + return -2; + + p0 = p = malloc(size); + *p++ = 0; + *p++ = 1; + memset(p, 0xff, size - flen - 3); + p += size - flen - 3; + *p++ = 0; + memcpy(p, from, flen); + p += flen; + assert((p - p0) == size); + + BN2mpz(&n, rsa->n); + BN2mpz(&e, rsa->e); + + mp_read_unsigned_bin(&in, p0, size); + free(p0); + + if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) { + size = -3; + goto out; + } + + if (blinding) { + setup_blind(&n, &b, &bi); + blind(&in, &b, &e, &n); + do_unblind = 1; + } + + if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { + mp_int p, q, dmp1, dmq1, iqmp; + + mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); + + BN2mpz(&p, rsa->p); + BN2mpz(&q, rsa->q); + BN2mpz(&dmp1, rsa->dmp1); + BN2mpz(&dmq1, rsa->dmq1); + BN2mpz(&iqmp, rsa->iqmp); + + res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out); + + mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); + + if (res != 0) { + size = -4; + goto out; + } + } else { + mp_int d; + + BN2mpz(&d, rsa->d); + res = mp_exptmod(&in, &d, &n, &out); + mp_clear(&d); + if (res != 0) { + size = -5; + goto out; + } + } + + if (do_unblind) + unblind(&out, &bi, &n); + + if (size > 0) { + size_t ssize; + ssize = mp_unsigned_bin_size(&out); + assert(size >= ssize); + mp_to_unsigned_bin(&out, to); + size = ssize; + } + + out: + mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL); + + return size; +} + +static int +ltm_rsa_private_decrypt(int flen, const unsigned char* from, + unsigned char* to, RSA* rsa, int padding) +{ + unsigned char *ptr; + int res; + size_t size; + mp_int in, out, n, e, b, bi; + int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0; + int do_unblind = 0; + + if (padding != RSA_PKCS1_PADDING) + return -1; + + size = RSA_size(rsa); + if (flen > size) + return -2; + + mp_init_multi(&in, &n, &e, &out, &bi, &b, NULL); + + BN2mpz(&n, rsa->n); + BN2mpz(&e, rsa->e); + + mp_read_unsigned_bin(&in, rk_UNCONST(from), flen); + + if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) { + size = -2; + goto out; + } + + if (blinding) { + setup_blind(&n, &b, &bi); + blind(&in, &b, &e, &n); + do_unblind = 1; + } + + if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) { + mp_int p, q, dmp1, dmq1, iqmp; + + mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); + + BN2mpz(&p, rsa->p); + BN2mpz(&q, rsa->q); + BN2mpz(&dmp1, rsa->dmp1); + BN2mpz(&dmq1, rsa->dmq1); + BN2mpz(&iqmp, rsa->iqmp); + + res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out); + + mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL); + + if (res != 0) { + size = -3; + goto out; + } + + } else { + mp_int d; + + if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) + return -4; + + BN2mpz(&d, rsa->d); + res = mp_exptmod(&in, &d, &n, &out); + mp_clear(&d); + if (res != 0) { + size = -5; + goto out; + } + } + + if (do_unblind) + unblind(&out, &bi, &n); + + ptr = to; + { + size_t ssize; + ssize = mp_unsigned_bin_size(&out); + assert(size >= ssize); + mp_to_unsigned_bin(&out, ptr); + size = ssize; + } + + /* head zero was skipped by mp_int_to_unsigned */ + if (*ptr != 2) { + size = -6; + goto out; + } + size--; ptr++; + while (size && *ptr != 0) { + size--; ptr++; + } + if (size == 0) + return -7; + size--; ptr++; + + memmove(to, ptr, size); + + out: + mp_clear_multi(&e, &n, &in, &out, NULL); + + return size; +} + +static BIGNUM * +mpz2BN(mp_int *s) +{ + size_t size; + BIGNUM *bn; + void *p; + + size = mp_unsigned_bin_size(s); + p = malloc(size); + if (p == NULL && size != 0) + return NULL; + + mp_to_unsigned_bin(s, p); + + bn = BN_bin2bn(p, size, NULL); + free(p); + return bn; +} + +#define CHECK(f, v) if ((f) != (v)) { goto out; } + +static int +ltm_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb) +{ + mp_int el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3; + int counter, ret, bitsp; + + if (bits < 789) + return -1; + + bitsp = (bits + 1) / 2; + + ret = -1; + + mp_init_multi(&el, &p, &q, &n, &n, &d, &dmp1, &dmq1, &iqmp, &t1, &t2, &t3, NULL); + + BN2mpz(&el, e); + + /* generate p and q so that p != q and bits(pq) ~ bits */ + counter = 0; + do { + BN_GENCB_call(cb, 2, counter++); + CHECK(random_num(&p, bitsp), 0); + CHECK(mp_find_prime(&p), MP_YES); + + mp_sub_d(&p, 1, &t1); + mp_gcd(&t1, &el, &t2); + } while(mp_cmp_d(&t2, 1) != 0); + + BN_GENCB_call(cb, 3, 0); + + counter = 0; + do { + BN_GENCB_call(cb, 2, counter++); + CHECK(random_num(&q, bits - bitsp), 0); + CHECK(mp_find_prime(&q), MP_YES); + + if (mp_cmp(&p, &q) == 0) /* don't let p and q be the same */ + continue; + + mp_sub_d(&q, 1, &t1); + mp_gcd(&t1, &el, &t2); + } while(mp_cmp_d(&t2, 1) != 0); + + /* make p > q */ + if (mp_cmp(&p, &q) < 0) { + mp_int c; + c = p; + p = q; + q = c; + } + + BN_GENCB_call(cb, 3, 1); + + /* calculate n, n = p * q */ + mp_mul(&p, &q, &n); + + /* calculate d, d = 1/e mod (p - 1)(q - 1) */ + mp_sub_d(&p, 1, &t1); + mp_sub_d(&q, 1, &t2); + mp_mul(&t1, &t2, &t3); + mp_invmod(&el, &t3, &d); + + /* calculate dmp1 dmp1 = d mod (p-1) */ + mp_mod(&d, &t1, &dmp1); + /* calculate dmq1 dmq1 = d mod (q-1) */ + mp_mod(&d, &t2, &dmq1); + /* calculate iqmp iqmp = 1/q mod p */ + mp_invmod(&q, &p, &iqmp); + + /* fill in RSA key */ + + rsa->e = mpz2BN(&el); + rsa->p = mpz2BN(&p); + rsa->q = mpz2BN(&q); + rsa->n = mpz2BN(&n); + rsa->d = mpz2BN(&d); + rsa->dmp1 = mpz2BN(&dmp1); + rsa->dmq1 = mpz2BN(&dmq1); + rsa->iqmp = mpz2BN(&iqmp); + + ret = 1; + +out: + mp_clear_multi(&el, &p, &q, &n, &d, &dmp1, + &dmq1, &iqmp, &t1, &t2, &t3, NULL); + + return ret; +} + +static int +ltm_rsa_init(RSA *rsa) +{ + return 1; +} + +static int +ltm_rsa_finish(RSA *rsa) +{ + return 1; +} + +const RSA_METHOD hc_rsa_ltm_method = { + "hcrypto ltm RSA", + ltm_rsa_public_encrypt, + ltm_rsa_public_decrypt, + ltm_rsa_private_encrypt, + ltm_rsa_private_decrypt, + NULL, + NULL, + ltm_rsa_init, + ltm_rsa_finish, + 0, + NULL, + NULL, + NULL, + ltm_rsa_generate_key +}; + +const RSA_METHOD * +RSA_ltm_method(void) +{ + return &hc_rsa_ltm_method; +} diff --git a/source4/heimdal/lib/hcrypto/rsa.c b/source4/heimdal/lib/hcrypto/rsa.c index 6a883454a3..a6e09fe283 100644 --- a/source4/heimdal/lib/hcrypto/rsa.c +++ b/source4/heimdal/lib/hcrypto/rsa.c @@ -38,8 +38,12 @@ #include <krb5-types.h> #include <rfc2459_asn1.h> +#include <der.h> + #include <rsa.h> +#include "common.h" + #include <roken.h> /** @@ -48,6 +52,20 @@ * RSA is named by its inventors (Ron Rivest, Adi Shamir, and Leonard * Adleman) (published in 1977), patented expired in 21 September 2000. * + * + * Speed for RSA in seconds + * no key blinding + * 1000 iteration, + * same rsa key + * operation performed each eteration sign, verify, encrypt, decrypt on a random bit pattern + * + * gmp: 0.733615 + * tfm: 2.450173 + * ltm: 3.79 (default in hcrypto) + * openssl: 4.04 + * cdsa: 15.89 + * imath: 40.62 + * * See the library functions here: @ref hcrypto_rsa */ @@ -237,7 +255,7 @@ RSA_set_app_data(RSA *rsa, void *arg) */ void * -RSA_get_app_data(RSA *rsa) +RSA_get_app_data(const RSA *rsa) { return rsa->ex_data.sk; } @@ -303,19 +321,136 @@ RSAFUNC(RSA_public_decrypt, (r)->meth->rsa_pub_dec(flen, f, t, r, p)) RSAFUNC(RSA_private_encrypt, (r)->meth->rsa_priv_enc(flen, f, t, r, p)) RSAFUNC(RSA_private_decrypt, (r)->meth->rsa_priv_dec(flen, f, t, r, p)) -/* XXX */ +static const heim_octet_string null_entry_oid = { 2, rk_UNCONST("\x05\x00") }; + +static const unsigned sha1_oid_tree[] = { 1, 3, 14, 3, 2, 26 }; +static const AlgorithmIdentifier _signature_sha1_data = { + { 6, rk_UNCONST(sha1_oid_tree) }, rk_UNCONST(&null_entry_oid) +}; +static const unsigned sha256_oid_tree[] = { 2, 16, 840, 1, 101, 3, 4, 2, 1 }; +static const AlgorithmIdentifier _signature_sha256_data = { + { 9, rk_UNCONST(sha256_oid_tree) }, rk_UNCONST(&null_entry_oid) +}; +static const unsigned md5_oid_tree[] = { 1, 2, 840, 113549, 2, 5 }; +static const AlgorithmIdentifier _signature_md5_data = { + { 6, rk_UNCONST(md5_oid_tree) }, rk_UNCONST(&null_entry_oid) +}; + + int RSA_sign(int type, const unsigned char *from, unsigned int flen, unsigned char *to, unsigned int *tlen, RSA *rsa) { - return -1; + if (rsa->meth->rsa_sign) + return rsa->meth->rsa_sign(type, from, flen, to, tlen, rsa); + + if (rsa->meth->rsa_priv_enc) { + heim_octet_string indata; + DigestInfo di; + size_t size; + int ret; + + memset(&di, 0, sizeof(di)); + + if (type == NID_sha1) { + di.digestAlgorithm = _signature_sha1_data; + } else if (type == NID_md5) { + di.digestAlgorithm = _signature_md5_data; + } else if (type == NID_sha256) { + di.digestAlgorithm = _signature_sha256_data; + } else + return -1; + + di.digest.data = rk_UNCONST(from); + di.digest.length = flen; + + ASN1_MALLOC_ENCODE(DigestInfo, + indata.data, + indata.length, + &di, + &size, + ret); + if (ret) + return ret; + if (indata.length != size) + abort(); + + ret = rsa->meth->rsa_priv_enc(indata.length, indata.data, to, + rsa, RSA_PKCS1_PADDING); + free(indata.data); + if (ret > 0) { + *tlen = ret; + ret = 1; + } else + ret = 0; + + return ret; + } + + return 0; } int RSA_verify(int type, const unsigned char *from, unsigned int flen, - unsigned char *to, unsigned int tlen, RSA *rsa) + unsigned char *sigbuf, unsigned int siglen, RSA *rsa) { - return -1; + if (rsa->meth->rsa_verify) + return rsa->meth->rsa_verify(type, from, flen, sigbuf, siglen, rsa); + + if (rsa->meth->rsa_pub_dec) { + const AlgorithmIdentifier *digest_alg; + void *data; + DigestInfo di; + size_t size; + int ret, ret2; + + data = malloc(RSA_size(rsa)); + if (data == NULL) + return -1; + + memset(&di, 0, sizeof(di)); + + ret = rsa->meth->rsa_pub_dec(siglen, sigbuf, data, rsa, RSA_PKCS1_PADDING); + if (ret <= 0) { + free(data); + return -2; + } + + ret2 = decode_DigestInfo(data, ret, &di, &size); + free(data); + if (ret2 != 0) + return -3; + if (ret != size) { + free_DigestInfo(&di); + return -4; + } + + if (flen != di.digest.length || memcmp(di.digest.data, from, flen) != 0) { + free_DigestInfo(&di); + return -5; + } + + if (type == NID_sha1) { + digest_alg = &_signature_sha1_data; + } else if (type == NID_md5) { + digest_alg = &_signature_md5_data; + } else if (type == NID_sha256) { + digest_alg = &_signature_sha256_data; + } else { + free_DigestInfo(&di); + return -1; + } + + ret = der_heim_oid_cmp(&digest_alg->algorithm, + &di.digestAlgorithm.algorithm); + free_DigestInfo(&di); + + if (ret != 0) + return 0; + return 1; + } + + return 0; } /* @@ -380,12 +515,12 @@ RSA_null_method(void) return &rsa_null_method; } +extern const RSA_METHOD hc_rsa_gmp_method; extern const RSA_METHOD hc_rsa_imath_method; -#ifdef HAVE_GMP -static const RSA_METHOD *default_rsa_method = &hc_rsa_gmp_method; -#else -static const RSA_METHOD *default_rsa_method = &hc_rsa_imath_method; -#endif +extern const RSA_METHOD hc_rsa_tfm_method; +extern const RSA_METHOD hc_rsa_ltm_method; +static const RSA_METHOD *default_rsa_method = &hc_rsa_ltm_method; + const RSA_METHOD * RSA_get_default_method(void) @@ -403,32 +538,6 @@ RSA_set_default_method(const RSA_METHOD *meth) * */ -static BIGNUM * -heim_int2BN(const heim_integer *i) -{ - BIGNUM *bn; - - bn = BN_bin2bn(i->data, i->length, NULL); - if (bn) - BN_set_negative(bn, i->negative); - return bn; -} - -static int -bn2heim_int(BIGNUM *bn, heim_integer *integer) -{ - integer->length = BN_num_bytes(bn); - integer->data = malloc(integer->length); - if (integer->data == NULL) { - integer->length = 0; - return ENOMEM; - } - BN_bn2bin(bn, integer->data); - integer->negative = BN_is_negative(bn); - return 0; -} - - RSA * d2i_RSAPrivateKey(RSA *rsa, const unsigned char **pp, size_t len) { @@ -451,14 +560,14 @@ d2i_RSAPrivateKey(RSA *rsa, const unsigned char **pp, size_t len) } } - k->n = heim_int2BN(&data.modulus); - k->e = heim_int2BN(&data.publicExponent); - k->d = heim_int2BN(&data.privateExponent); - k->p = heim_int2BN(&data.prime1); - k->q = heim_int2BN(&data.prime2); - k->dmp1 = heim_int2BN(&data.exponent1); - k->dmq1 = heim_int2BN(&data.exponent2); - k->iqmp = heim_int2BN(&data.coefficient); + k->n = _hc_integer_to_BN(&data.modulus, NULL); + k->e = _hc_integer_to_BN(&data.publicExponent, NULL); + k->d = _hc_integer_to_BN(&data.privateExponent, NULL); + k->p = _hc_integer_to_BN(&data.prime1, NULL); + k->q = _hc_integer_to_BN(&data.prime2, NULL); + k->dmp1 = _hc_integer_to_BN(&data.exponent1, NULL); + k->dmq1 = _hc_integer_to_BN(&data.exponent2, NULL); + k->iqmp = _hc_integer_to_BN(&data.coefficient, NULL); free_RSAPrivateKey(&data); if (k->n == NULL || k->e == NULL || k->d == NULL || k->p == NULL || @@ -485,14 +594,14 @@ i2d_RSAPrivateKey(RSA *rsa, unsigned char **pp) memset(&data, 0, sizeof(data)); - ret = bn2heim_int(rsa->n, &data.modulus); - ret |= bn2heim_int(rsa->e, &data.publicExponent); - ret |= bn2heim_int(rsa->d, &data.privateExponent); - ret |= bn2heim_int(rsa->p, &data.prime1); - ret |= bn2heim_int(rsa->q, &data.prime2); - ret |= bn2heim_int(rsa->dmp1, &data.exponent1); - ret |= bn2heim_int(rsa->dmq1, &data.exponent2); - ret |= bn2heim_int(rsa->iqmp, &data.coefficient); + ret = _hc_BN_to_integer(rsa->n, &data.modulus); + ret |= _hc_BN_to_integer(rsa->e, &data.publicExponent); + ret |= _hc_BN_to_integer(rsa->d, &data.privateExponent); + ret |= _hc_BN_to_integer(rsa->p, &data.prime1); + ret |= _hc_BN_to_integer(rsa->q, &data.prime2); + ret |= _hc_BN_to_integer(rsa->dmp1, &data.exponent1); + ret |= _hc_BN_to_integer(rsa->dmq1, &data.exponent2); + ret |= _hc_BN_to_integer(rsa->iqmp, &data.coefficient); if (ret) { free_RSAPrivateKey(&data); return -1; @@ -530,8 +639,8 @@ i2d_RSAPublicKey(RSA *rsa, unsigned char **pp) memset(&data, 0, sizeof(data)); - if (bn2heim_int(rsa->n, &data.modulus) || - bn2heim_int(rsa->e, &data.publicExponent)) + if (_hc_BN_to_integer(rsa->n, &data.modulus) || + _hc_BN_to_integer(rsa->e, &data.publicExponent)) { free_RSAPublicKey(&data); return -1; @@ -582,8 +691,8 @@ d2i_RSAPublicKey(RSA *rsa, const unsigned char **pp, size_t len) } } - k->n = heim_int2BN(&data.modulus); - k->e = heim_int2BN(&data.publicExponent); + k->n = _hc_integer_to_BN(&data.modulus, NULL); + k->e = _hc_integer_to_BN(&data.publicExponent, NULL); free_RSAPublicKey(&data); diff --git a/source4/heimdal/lib/hcrypto/rsa.h b/source4/heimdal/lib/hcrypto/rsa.h index 9354aaaa48..3fd805fcf0 100644 --- a/source4/heimdal/lib/hcrypto/rsa.h +++ b/source4/heimdal/lib/hcrypto/rsa.h @@ -41,7 +41,9 @@ /* symbol renaming */ #define RSA_null_method hc_RSA_null_method #define RSA_imath_method hc_RSA_imath_method +#define RSA_ltm_method hc_RSA_ltm_method #define RSA_gmp_method hc_RSA_gmp_method +#define RSA_tfm_method hc_RSA_tfm_method #define RSA_new hc_RSA_new #define RSA_new_method hc_RSA_new_method #define RSA_free hc_RSA_free @@ -136,6 +138,8 @@ struct RSA { const RSA_METHOD *RSA_null_method(void); const RSA_METHOD *RSA_imath_method(void); const RSA_METHOD *RSA_gmp_method(void); +const RSA_METHOD *RSA_tfm_method(void); +const RSA_METHOD *RSA_ltm_method(void); /* * @@ -153,7 +157,7 @@ const RSA_METHOD * RSA_get_method(const RSA *); int RSA_set_method(RSA *, const RSA_METHOD *); int RSA_set_app_data(RSA *, void *arg); -void * RSA_get_app_data(RSA *); +void * RSA_get_app_data(const RSA *); int RSA_check_key(const RSA *); int RSA_size(const RSA *); diff --git a/source4/heimdal/lib/hcrypto/sha.c b/source4/heimdal/lib/hcrypto/sha.c index 062f70509c..9c8b39e241 100644 --- a/source4/heimdal/lib/hcrypto/sha.c +++ b/source4/heimdal/lib/hcrypto/sha.c @@ -240,13 +240,13 @@ SHA1_Update (struct sha *m, const void *v, size_t len) if(offset == 64){ #if !defined(WORDS_BIGENDIAN) || defined(_CRAY) int i; - uint32_t current[16]; - struct x32 *u = (struct x32*)m->save; + uint32_t SHA1current[16]; + struct x32 *us = (struct x32*)m->save; for(i = 0; i < 8; i++){ - current[2*i+0] = swap_uint32_t(u[i].a); - current[2*i+1] = swap_uint32_t(u[i].b); + SHA1current[2*i+0] = swap_uint32_t(us[i].a); + SHA1current[2*i+1] = swap_uint32_t(us[i].b); } - calc(m, current); + calc(m, SHA1current); #else calc(m, (uint32_t*)m->save); #endif diff --git a/source4/heimdal/lib/hcrypto/sha256.c b/source4/heimdal/lib/hcrypto/sha256.c index baa87d15ff..5e601bb358 100644 --- a/source4/heimdal/lib/hcrypto/sha256.c +++ b/source4/heimdal/lib/hcrypto/sha256.c @@ -183,10 +183,10 @@ SHA256_Update (SHA256_CTX *m, const void *v, size_t len) #if !defined(WORDS_BIGENDIAN) || defined(_CRAY) int i; uint32_t current[16]; - struct x32 *u = (struct x32*)m->save; + struct x32 *us = (struct x32*)m->save; for(i = 0; i < 8; i++){ - current[2*i+0] = swap_uint32_t(u[i].a); - current[2*i+1] = swap_uint32_t(u[i].b); + current[2*i+0] = swap_uint32_t(us[i].a); + current[2*i+1] = swap_uint32_t(us[i].b); } calc(m, current); #else diff --git a/source4/heimdal/lib/hcrypto/ui.c b/source4/heimdal/lib/hcrypto/ui.c index f6f8a1ffe2..e32bb9a0be 100644 --- a/source4/heimdal/lib/hcrypto/ui.c +++ b/source4/heimdal/lib/hcrypto/ui.c @@ -77,7 +77,7 @@ read_string(const char *preprompt, const char *prompt, p = buf; while(intr_flag == 0){ c = ((echo)? _getche(): _getch()); - if(c == '\n') + if(c == '\n' || c == '\r') break; if(of == 0) *p++ = c; diff --git a/source4/heimdal/lib/hcrypto/validate.c b/source4/heimdal/lib/hcrypto/validate.c new file mode 100644 index 0000000000..3ed358df66 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/validate.c @@ -0,0 +1,308 @@ +/* + * Copyright (c) 2010 Kungliga Tekniska Högskolan + * (Royal Institute of Technology, Stockholm, Sweden). + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * 3. Neither the name of the Institute nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#include <config.h> + +#include <sys/types.h> +#include <limits.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <getarg.h> +#include <roken.h> + +#include <evp.h> +#include <hmac.h> +#include <err.h> + +struct tests { + const EVP_CIPHER *(*cipher)(void); + const char *name; + void *key; + size_t keysize; + void *iv; + size_t datasize; + void *indata; + void *outdata; + void *outiv; +}; + +struct tests tests[] = { + { + EVP_aes_256_cbc, + "aes-256", + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 32, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 16, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + "\xdc\x95\xc0\x78\xa2\x40\x89\x89\xad\x48\xa2\x14\x92\x84\x20\x87" + }, +#if 0 + { + EVP_aes_128_cfb8, + "aes-cfb8-128", + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 16, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 16, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + "\x66\xe9\x4b\xd4\xef\x8a\x2c\x3b\x88\x4c\xfa\x59\xca\x34\x2b\x2e" + }, +#endif + { + EVP_des_ede3_cbc, + "des-ede3", + "\x19\x17\xff\xe6\xbb\x77\x2e\xfc" + "\x29\x76\x43\xbc\x63\x56\x7e\x9a" + "\x00\x2e\x4d\x43\x1d\x5f\xfd\x58", + 24, + "\xbf\x9a\x12\xb7\x26\x69\xfd\x05", + 16, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + "\x55\x95\x97\x76\xa9\x6c\x66\x40\x64\xc7\xf4\x1c\x21\xb7\x14\x1b" + }, +#if 0 + { + EVP_camellia_128_cbc, + "camellia128", + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 16, + "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + 16, + "\x80\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00", + "\x07\x92\x3A\x39\xEB\x0A\x81\x7D\x1C\x4D\x87\xBD\xB8\x2D\x1F\x1C", + NULL + }, +#endif + { + EVP_rc4, + "rc4 8", + "\x01\x23\x45\x67\x89\xAB\xCD\xEF", + 8, + NULL, + 8, + "\x00\x00\x00\x00\x00\x00\x00\x00", + "\x74\x94\xC2\xE7\x10\x4B\x08\x79", + NULL + }, + { + EVP_rc4, + "rc4 5", + "\x61\x8a\x63\xd2\xfb", + 5, + NULL, + 5, + "\xdc\xee\x4c\xf9\x2c", + "\xf1\x38\x29\xc9\xde", + NULL + }, + { + EVP_rc4, + "rc4 309", + "\x29\x04\x19\x72\xfb\x42\xba\x5f\xc7\x12\x77\x12\xf1\x38\x29\xc9", + 16, + NULL, + 309, + "\x52\x75\x69\x73\x6c\x69\x6e\x6e" + "\x75\x6e\x20\x6c\x61\x75\x6c\x75" + "\x20\x6b\x6f\x72\x76\x69\x73\x73" + "\x73\x61\x6e\x69\x2c\x20\x74\xe4" + "\x68\x6b\xe4\x70\xe4\x69\x64\x65" + "\x6e\x20\x70\xe4\xe4\x6c\x6c\xe4" + "\x20\x74\xe4\x79\x73\x69\x6b\x75" + "\x75\x2e\x20\x4b\x65\x73\xe4\x79" + "\xf6\x6e\x20\x6f\x6e\x20\x6f\x6e" + "\x6e\x69\x20\x6f\x6d\x61\x6e\x61" + "\x6e\x69\x2c\x20\x6b\x61\x73\x6b" + "\x69\x73\x61\x76\x75\x75\x6e\x20" + "\x6c\x61\x61\x6b\x73\x6f\x74\x20" + "\x76\x65\x72\x68\x6f\x75\x75\x2e" + "\x20\x45\x6e\x20\x6d\x61\x20\x69" + "\x6c\x6f\x69\x74\x73\x65\x2c\x20" + "\x73\x75\x72\x65\x20\x68\x75\x6f" + "\x6b\x61\x61\x2c\x20\x6d\x75\x74" + "\x74\x61\x20\x6d\x65\x74\x73\xe4" + "\x6e\x20\x74\x75\x6d\x6d\x75\x75" + "\x73\x20\x6d\x75\x6c\x6c\x65\x20" + "\x74\x75\x6f\x6b\x61\x61\x2e\x20" + "\x50\x75\x75\x6e\x74\x6f\x20\x70" + "\x69\x6c\x76\x65\x6e\x2c\x20\x6d" + "\x69\x20\x68\x75\x6b\x6b\x75\x75" + "\x2c\x20\x73\x69\x69\x6e\x74\x6f" + "\x20\x76\x61\x72\x61\x6e\x20\x74" + "\x75\x75\x6c\x69\x73\x65\x6e\x2c" + "\x20\x6d\x69\x20\x6e\x75\x6b\x6b" + "\x75\x75\x2e\x20\x54\x75\x6f\x6b" + "\x73\x75\x74\x20\x76\x61\x6e\x61" + "\x6d\x6f\x6e\x20\x6a\x61\x20\x76" + "\x61\x72\x6a\x6f\x74\x20\x76\x65" + "\x65\x6e\x2c\x20\x6e\x69\x69\x73" + "\x74\xe4\x20\x73\x79\x64\xe4\x6d" + "\x65\x6e\x69\x20\x6c\x61\x75\x6c" + "\x75\x6e\x20\x74\x65\x65\x6e\x2e" + "\x20\x2d\x20\x45\x69\x6e\x6f\x20" + "\x4c\x65\x69\x6e\x6f", + "\x35\x81\x86\x99\x90\x01\xe6\xb5" + "\xda\xf0\x5e\xce\xeb\x7e\xee\x21" + "\xe0\x68\x9c\x1f\x00\xee\xa8\x1f" + "\x7d\xd2\xca\xae\xe1\xd2\x76\x3e" + "\x68\xaf\x0e\xad\x33\xd6\x6c\x26" + "\x8b\xc9\x46\xc4\x84\xfb\xe9\x4c" + "\x5f\x5e\x0b\x86\xa5\x92\x79\xe4" + "\xf8\x24\xe7\xa6\x40\xbd\x22\x32" + "\x10\xb0\xa6\x11\x60\xb7\xbc\xe9" + "\x86\xea\x65\x68\x80\x03\x59\x6b" + "\x63\x0a\x6b\x90\xf8\xe0\xca\xf6" + "\x91\x2a\x98\xeb\x87\x21\x76\xe8" + "\x3c\x20\x2c\xaa\x64\x16\x6d\x2c" + "\xce\x57\xff\x1b\xca\x57\xb2\x13" + "\xf0\xed\x1a\xa7\x2f\xb8\xea\x52" + "\xb0\xbe\x01\xcd\x1e\x41\x28\x67" + "\x72\x0b\x32\x6e\xb3\x89\xd0\x11" + "\xbd\x70\xd8\xaf\x03\x5f\xb0\xd8" + "\x58\x9d\xbc\xe3\xc6\x66\xf5\xea" + "\x8d\x4c\x79\x54\xc5\x0c\x3f\x34" + "\x0b\x04\x67\xf8\x1b\x42\x59\x61" + "\xc1\x18\x43\x07\x4d\xf6\x20\xf2" + "\x08\x40\x4b\x39\x4c\xf9\xd3\x7f" + "\xf5\x4b\x5f\x1a\xd8\xf6\xea\x7d" + "\xa3\xc5\x61\xdf\xa7\x28\x1f\x96" + "\x44\x63\xd2\xcc\x35\xa4\xd1\xb0" + "\x34\x90\xde\xc5\x1b\x07\x11\xfb" + "\xd6\xf5\x5f\x79\x23\x4d\x5b\x7c" + "\x76\x66\x22\xa6\x6d\xe9\x2b\xe9" + "\x96\x46\x1d\x5e\x4d\xc8\x78\xef" + "\x9b\xca\x03\x05\x21\xe8\x35\x1e" + "\x4b\xae\xd2\xfd\x04\xf9\x46\x73" + "\x68\xc4\xad\x6a\xc1\x86\xd0\x82" + "\x45\xb2\x63\xa2\x66\x6d\x1f\x6c" + "\x54\x20\xf1\x59\x9d\xfd\x9f\x43" + "\x89\x21\xc2\xf5\xa4\x63\x93\x8c" + "\xe0\x98\x22\x65\xee\xf7\x01\x79" + "\xbc\x55\x3f\x33\x9e\xb1\xa4\xc1" + "\xaf\x5f\x6a\x54\x7f" + } +}; + +static int +test_cipher(struct tests *t) +{ + const EVP_CIPHER *c = t->cipher(); + EVP_CIPHER_CTX ectx; + EVP_CIPHER_CTX dctx; + void *d; + + EVP_CIPHER_CTX_init(&ectx); + EVP_CIPHER_CTX_init(&dctx); + + if (EVP_CipherInit_ex(&ectx, c, NULL, NULL, NULL, 1) != 1) + errx(1, "%s: EVP_CipherInit_ex einit", t->name); + if (EVP_CipherInit_ex(&dctx, c, NULL, NULL, NULL, 0) != 1) + errx(1, "%s: EVP_CipherInit_ex dinit", t->name); + + EVP_CIPHER_CTX_set_key_length(&ectx, t->keysize); + EVP_CIPHER_CTX_set_key_length(&dctx, t->keysize); + + if (EVP_CipherInit_ex(&ectx, NULL, NULL, t->key, t->iv, 1) != 1) + errx(1, "%s: EVP_CipherInit_ex encrypt", t->name); + if (EVP_CipherInit_ex(&dctx, NULL, NULL, t->key, t->iv, 0) != 1) + errx(1, "%s: EVP_CipherInit_ex decrypt", t->name); + + d = emalloc(t->datasize); + + if (!EVP_Cipher(&ectx, d, t->indata, t->datasize)) + return 1; + + if (memcmp(d, t->outdata, t->datasize) != 0) + errx(1, "%s: encrypt not the same", t->name); + + if (!EVP_Cipher(&dctx, d, d, t->datasize)) + return 1; + + if (memcmp(d, t->indata, t->datasize) != 0) + errx(1, "%s: decrypt not the same", t->name); + + if (t->outiv) + /* XXXX check */; + + EVP_CIPHER_CTX_cleanup(&ectx); + EVP_CIPHER_CTX_cleanup(&dctx); + free(d); + + return 0; +} + +static void +check_hmac(void) +{ + unsigned char buf[4] = { 0, 0, 0, 0 }; + char hmackey[] = "hello-world"; + size_t hmackey_size = sizeof(hmackey); + unsigned int hmaclen; + unsigned char hmac[EVP_MAX_MD_SIZE]; + HMAC_CTX c; + + char answer[20] = "\x2c\xfa\x32\xb7\x2b\x8a\xf6\xdf\xcf\xda" + "\x6f\xd1\x52\x4d\x54\x58\x73\x0f\xf3\x24"; + + HMAC_CTX_init(&c); + HMAC_Init_ex(&c, hmackey, hmackey_size, EVP_sha1(), NULL); + HMAC_Update(&c, buf, sizeof(buf)); + HMAC_Final(&c, hmac, &hmaclen); + HMAC_CTX_cleanup(&c); + + if (hmaclen != 20) + errx(1, "hmaclen = %d\n", (int)hmaclen); + + if (ct_memcmp(hmac, answer, hmaclen) != 0) + errx(1, "wrong answer\n"); +} + +void +hcrypto_validate(void) +{ + static int validated = 0; + unsigned int i; + + /* its ok to run this twice, do don't check for races */ + if (validated) + return; + validated++; + + for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) + test_cipher(&tests[i]); + + check_hmac(); +} |