diff options
Diffstat (limited to 'crypto/bn/bn_exp.c')
-rw-r--r-- | crypto/bn/bn_exp.c | 698 |
1 files changed, 0 insertions, 698 deletions
diff --git a/crypto/bn/bn_exp.c b/crypto/bn/bn_exp.c deleted file mode 100644 index 74b1f0e89e..0000000000 --- a/crypto/bn/bn_exp.c +++ /dev/null @@ -1,698 +0,0 @@ -/* crypto/bn/bn_exp.c */ -/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) - * All rights reserved. - * - * This package is an SSL implementation written - * by Eric Young (eay@cryptsoft.com). - * The implementation was written so as to conform with Netscapes SSL. - * - * This library is free for commercial and non-commercial use as long as - * the following conditions are aheared to. The following conditions - * apply to all code found in this distribution, be it the RC4, RSA, - * lhash, DES, etc., code; not just the SSL code. The SSL documentation - * included with this distribution is covered by the same copyright terms - * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * - * Copyright remains Eric Young's, and as such any Copyright notices in - * the code are not to be removed. - * If this package is used in a product, Eric Young should be given attribution - * as the author of the parts of the library used. - * This can be in the form of a textual message at program startup or - * in documentation (online or textual) provided with the package. - * - * 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 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. All advertising materials mentioning features or use of this software - * must display the following acknowledgement: - * "This product includes cryptographic software written by - * Eric Young (eay@cryptsoft.com)" - * The word 'cryptographic' can be left out if the rouines from the library - * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from - * the apps directory (application code) you must include an acknowledgement: - * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * - * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``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 AUTHOR 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. - * - * The licence and distribution terms for any publically available version or - * derivative of this code cannot be changed. i.e. this code cannot simply be - * copied and put under another distribution licence - * [including the GNU Public Licence.] - */ -/* ==================================================================== - * Copyright (c) 1998-2000 The OpenSSL Project. 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. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED 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 OpenSSL PROJECT OR - * ITS 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. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - - -#include <stdio.h> -#include "cryptlib.h" -#include "bn_lcl.h" - -#define TABLE_SIZE 32 - -/* slow but works */ -int BN_mod_mul(BIGNUM *ret, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, - BN_CTX *ctx) - { - BIGNUM *t; - int r=0; - - bn_check_top(a); - bn_check_top(b); - bn_check_top(m); - - BN_CTX_start(ctx); - if ((t = BN_CTX_get(ctx)) == NULL) goto err; - if (a == b) - { if (!BN_sqr(t,a,ctx)) goto err; } - else - { if (!BN_mul(t,a,b,ctx)) goto err; } - if (!BN_mod(ret,t,m,ctx)) goto err; - r=1; -err: - BN_CTX_end(ctx); - return(r); - } - - -/* this one works - simple but works */ -int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) - { - int i,bits,ret=0; - BIGNUM *v,*rr; - - BN_CTX_start(ctx); - if ((r == a) || (r == p)) - rr = BN_CTX_get(ctx); - else - rr = r; - if ((v = BN_CTX_get(ctx)) == NULL) goto err; - - if (BN_copy(v,a) == NULL) goto err; - bits=BN_num_bits(p); - - if (BN_is_odd(p)) - { if (BN_copy(rr,a) == NULL) goto err; } - else { if (!BN_one(rr)) goto err; } - - for (i=1; i<bits; i++) - { - if (!BN_sqr(v,v,ctx)) goto err; - if (BN_is_bit_set(p,i)) - { - if (!BN_mul(rr,rr,v,ctx)) goto err; - } - } - ret=1; -err: - if (r != rr) BN_copy(r,rr); - BN_CTX_end(ctx); - return(ret); - } - - -int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, - BN_CTX *ctx) - { - int ret; - - bn_check_top(a); - bn_check_top(p); - bn_check_top(m); - -#ifdef MONT_MUL_MOD - /* I have finally been able to take out this pre-condition of - * the top bit being set. It was caused by an error in BN_div - * with negatives. There was also another problem when for a^b%m - * a >= m. eay 07-May-97 */ -/* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */ - - if (BN_is_odd(m)) - { - if (a->top == 1) - { - BN_ULONG A = a->d[0]; - ret=BN_mod_exp_mont_word(r,A,p,m,ctx,NULL); - } - else - ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL); - } - else -#endif -#ifdef RECP_MUL_MOD - { ret=BN_mod_exp_recp(r,a,p,m,ctx); } -#else - { ret=BN_mod_exp_simple(r,a,p,m,ctx); } -#endif - - return(ret); - } - - -int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, - const BIGNUM *m, BN_CTX *ctx) - { - int i,j,bits,ret=0,wstart,wend,window,wvalue; - int start=1,ts=0; - BIGNUM *aa; - BIGNUM val[TABLE_SIZE]; - BN_RECP_CTX recp; - - bits=BN_num_bits(p); - - if (bits == 0) - { - BN_one(r); - return(1); - } - - BN_CTX_start(ctx); - if ((aa = BN_CTX_get(ctx)) == NULL) goto err; - - BN_RECP_CTX_init(&recp); - if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err; - - BN_init(&(val[0])); - ts=1; - - if (!BN_mod(&(val[0]),a,m,ctx)) goto err; /* 1 */ - - window = BN_window_bits_for_exponent_size(bits); - if (window > 1) - { - if (!BN_mod_mul_reciprocal(aa,&(val[0]),&(val[0]),&recp,ctx)) - goto err; /* 2 */ - j=1<<(window-1); - for (i=1; i<j; i++) - { - BN_init(&val[i]); - if (!BN_mod_mul_reciprocal(&(val[i]),&(val[i-1]),aa,&recp,ctx)) - goto err; - } - ts=i; - } - - start=1; /* This is used to avoid multiplication etc - * when there is only the value '1' in the - * buffer. */ - wvalue=0; /* The 'value' of the window */ - wstart=bits-1; /* The top bit of the window */ - wend=0; /* The bottom bit of the window */ - - if (!BN_one(r)) goto err; - - for (;;) - { - if (BN_is_bit_set(p,wstart) == 0) - { - if (!start) - if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) - goto err; - if (wstart == 0) break; - wstart--; - continue; - } - /* We now have wstart on a 'set' bit, we now need to work out - * how bit a window to do. To do this we need to scan - * forward until the last set bit before the end of the - * window */ - j=wstart; - wvalue=1; - wend=0; - for (i=1; i<window; i++) - { - if (wstart-i < 0) break; - if (BN_is_bit_set(p,wstart-i)) - { - wvalue<<=(i-wend); - wvalue|=1; - wend=i; - } - } - - /* wend is the size of the current window */ - j=wend+1; - /* add the 'bytes above' */ - if (!start) - for (i=0; i<j; i++) - { - if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) - goto err; - } - - /* wvalue will be an odd number < 2^window */ - if (!BN_mod_mul_reciprocal(r,r,&(val[wvalue>>1]),&recp,ctx)) - goto err; - - /* move the 'window' down further */ - wstart-=wend+1; - wvalue=0; - start=0; - if (wstart < 0) break; - } - ret=1; -err: - BN_CTX_end(ctx); - for (i=0; i<ts; i++) - BN_clear_free(&(val[i])); - BN_RECP_CTX_free(&recp); - return(ret); - } - - -int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, - const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) - { - int i,j,bits,ret=0,wstart,wend,window,wvalue; - int start=1,ts=0; - BIGNUM *d,*r; - const BIGNUM *aa; - BIGNUM val[TABLE_SIZE]; - BN_MONT_CTX *mont=NULL; - - bn_check_top(a); - bn_check_top(p); - bn_check_top(m); - - if (!(m->d[0] & 1)) - { - BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS); - return(0); - } - bits=BN_num_bits(p); - if (bits == 0) - { - BN_one(rr); - return(1); - } - BN_CTX_start(ctx); - d = BN_CTX_get(ctx); - r = BN_CTX_get(ctx); - if (d == NULL || r == NULL) goto err; - - /* If this is not done, things will break in the montgomery - * part */ - - if (in_mont != NULL) - mont=in_mont; - else - { - if ((mont=BN_MONT_CTX_new()) == NULL) goto err; - if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; - } - - BN_init(&val[0]); - ts=1; - if (BN_ucmp(a,m) >= 0) - { - if (!BN_mod(&(val[0]),a,m,ctx)) - goto err; - aa= &(val[0]); - } - else - aa=a; - if (!BN_to_montgomery(&(val[0]),aa,mont,ctx)) goto err; /* 1 */ - - window = BN_window_bits_for_exponent_size(bits); - if (window > 1) - { - if (!BN_mod_mul_montgomery(d,&(val[0]),&(val[0]),mont,ctx)) goto err; /* 2 */ - j=1<<(window-1); - for (i=1; i<j; i++) - { - BN_init(&(val[i])); - if (!BN_mod_mul_montgomery(&(val[i]),&(val[i-1]),d,mont,ctx)) - goto err; - } - ts=i; - } - - start=1; /* This is used to avoid multiplication etc - * when there is only the value '1' in the - * buffer. */ - wvalue=0; /* The 'value' of the window */ - wstart=bits-1; /* The top bit of the window */ - wend=0; /* The bottom bit of the window */ - - if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err; - for (;;) - { - if (BN_is_bit_set(p,wstart) == 0) - { - if (!start) - { - if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) - goto err; - } - if (wstart == 0) break; - wstart--; - continue; - } - /* We now have wstart on a 'set' bit, we now need to work out - * how bit a window to do. To do this we need to scan - * forward until the last set bit before the end of the - * window */ - j=wstart; - wvalue=1; - wend=0; - for (i=1; i<window; i++) - { - if (wstart-i < 0) break; - if (BN_is_bit_set(p,wstart-i)) - { - wvalue<<=(i-wend); - wvalue|=1; - wend=i; - } - } - - /* wend is the size of the current window */ - j=wend+1; - /* add the 'bytes above' */ - if (!start) - for (i=0; i<j; i++) - { - if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) - goto err; - } - - /* wvalue will be an odd number < 2^window */ - if (!BN_mod_mul_montgomery(r,r,&(val[wvalue>>1]),mont,ctx)) - goto err; - - /* move the 'window' down further */ - wstart-=wend+1; - wvalue=0; - start=0; - if (wstart < 0) break; - } - if (!BN_from_montgomery(rr,r,mont,ctx)) goto err; - ret=1; -err: - if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); - BN_CTX_end(ctx); - for (i=0; i<ts; i++) - BN_clear_free(&(val[i])); - return(ret); - } - -int BN_mod_exp_mont_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p, - const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) - { - BN_MONT_CTX *mont = NULL; - int b, bits, ret=0; - int r_is_one; - BN_ULONG w, next_w; - BIGNUM *d, *r, *t; - BIGNUM *swap_tmp; -#define BN_MOD_MUL_WORD(r, w, m) \ - (BN_mul_word(r, (w)) && \ - (/* BN_ucmp(r, (m)) < 0 ? 1 :*/ \ - (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1)))) - /* BN_MOD_MUL_WORD is only used with 'w' large, - * so the BN_ucmp test is probably more overhead - * than always using BN_mod (which uses BN_copy if - * a similar test returns true). */ -#define BN_TO_MONTGOMERY_WORD(r, w, mont) \ - (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx)) - - bn_check_top(p); - bn_check_top(m); - - if (!(m->d[0] & 1)) - { - BNerr(BN_F_BN_MOD_EXP_MONT_WORD,BN_R_CALLED_WITH_EVEN_MODULUS); - return(0); - } - bits = BN_num_bits(p); - if (bits == 0) - { - BN_one(rr); - return(1); - } - BN_CTX_start(ctx); - d = BN_CTX_get(ctx); - r = BN_CTX_get(ctx); - t = BN_CTX_get(ctx); - if (d == NULL || r == NULL || t == NULL) goto err; - - if (in_mont != NULL) - mont=in_mont; - else - { - if ((mont = BN_MONT_CTX_new()) == NULL) goto err; - if (!BN_MONT_CTX_set(mont, m, ctx)) goto err; - } - - r_is_one = 1; /* except for Montgomery factor */ - - /* bits-1 >= 0 */ - - /* The result is accumulated in the product r*w. */ - w = a; /* bit 'bits-1' of 'p' is always set */ - for (b = bits-2; b >= 0; b--) - { - /* First, square r*w. */ - next_w = w*w; - if ((next_w/w) != w) /* overflow */ - { - if (r_is_one) - { - if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; - r_is_one = 0; - } - else - { - if (!BN_MOD_MUL_WORD(r, w, m)) goto err; - } - next_w = 1; - } - w = next_w; - if (!r_is_one) - { - if (!BN_mod_mul_montgomery(r, r, r, mont, ctx)) goto err; - } - - /* Second, multiply r*w by 'a' if exponent bit is set. */ - if (BN_is_bit_set(p, b)) - { - next_w = w*a; - if ((next_w/a) != w) /* overflow */ - { - if (r_is_one) - { - if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; - r_is_one = 0; - } - else - { - if (!BN_MOD_MUL_WORD(r, w, m)) goto err; - } - next_w = a; - } - w = next_w; - } - } - - /* Finally, set r:=r*w. */ - if (w != 1) - { - if (r_is_one) - { - if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; - r_is_one = 0; - } - else - { - if (!BN_MOD_MUL_WORD(r, w, m)) goto err; - } - } - - if (r_is_one) /* can happen only if a == 1*/ - { - if (!BN_one(rr)) goto err; - } - else - { - if (!BN_from_montgomery(rr, r, mont, ctx)) goto err; - } - ret = 1; -err: - if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); - BN_CTX_end(ctx); - return(ret); - } - - -/* The old fallback, simple version :-) */ -int BN_mod_exp_simple(BIGNUM *r, - const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, - BN_CTX *ctx) - { - int i,j,bits,ret=0,wstart,wend,window,wvalue,ts=0; - int start=1; - BIGNUM *d; - BIGNUM val[TABLE_SIZE]; - - bits=BN_num_bits(p); - - if (bits == 0) - { - BN_one(r); - return(1); - } - - BN_CTX_start(ctx); - if ((d = BN_CTX_get(ctx)) == NULL) goto err; - - BN_init(&(val[0])); - ts=1; - if (!BN_mod(&(val[0]),a,m,ctx)) goto err; /* 1 */ - - window = BN_window_bits_for_exponent_size(bits); - if (window > 1) - { - if (!BN_mod_mul(d,&(val[0]),&(val[0]),m,ctx)) - goto err; /* 2 */ - j=1<<(window-1); - for (i=1; i<j; i++) - { - BN_init(&(val[i])); - if (!BN_mod_mul(&(val[i]),&(val[i-1]),d,m,ctx)) - goto err; - } - ts=i; - } - - start=1; /* This is used to avoid multiplication etc - * when there is only the value '1' in the - * buffer. */ - wvalue=0; /* The 'value' of the window */ - wstart=bits-1; /* The top bit of the window */ - wend=0; /* The bottom bit of the window */ - - if (!BN_one(r)) goto err; - - for (;;) - { - if (BN_is_bit_set(p,wstart) == 0) - { - if (!start) - if (!BN_mod_mul(r,r,r,m,ctx)) - goto err; - if (wstart == 0) break; - wstart--; - continue; - } - /* We now have wstart on a 'set' bit, we now need to work out - * how bit a window to do. To do this we need to scan - * forward until the last set bit before the end of the - * window */ - j=wstart; - wvalue=1; - wend=0; - for (i=1; i<window; i++) - { - if (wstart-i < 0) break; - if (BN_is_bit_set(p,wstart-i)) - { - wvalue<<=(i-wend); - wvalue|=1; - wend=i; - } - } - - /* wend is the size of the current window */ - j=wend+1; - /* add the 'bytes above' */ - if (!start) - for (i=0; i<j; i++) - { - if (!BN_mod_mul(r,r,r,m,ctx)) - goto err; - } - - /* wvalue will be an odd number < 2^window */ - if (!BN_mod_mul(r,r,&(val[wvalue>>1]),m,ctx)) - goto err; - - /* move the 'window' down further */ - wstart-=wend+1; - wvalue=0; - start=0; - if (wstart < 0) break; - } - ret=1; -err: - BN_CTX_end(ctx); - for (i=0; i<ts; i++) - BN_clear_free(&(val[i])); - return(ret); - } - |