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authorAdam Langley <agl@google.com>2015-01-22 14:27:53 -0800
committerAdam Langley <agl@google.com>2015-01-30 16:52:14 -0800
commitd9e397b599b13d642138480a28c14db7a136bf05 (patch)
tree34bab61dc4ce323b123ad4614dbc07e86ea2f9ef /src/crypto/bn/montgomery.c
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Initial commit of BoringSSL for Android.
Diffstat (limited to 'src/crypto/bn/montgomery.c')
-rw-r--r--src/crypto/bn/montgomery.c571
1 files changed, 571 insertions, 0 deletions
diff --git a/src/crypto/bn/montgomery.c b/src/crypto/bn/montgomery.c
new file mode 100644
index 0000000..65e177c
--- /dev/null
+++ b/src/crypto/bn/montgomery.c
@@ -0,0 +1,571 @@
+/* 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) 1998-2006 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 <openssl/bn.h>
+
+#include <string.h>
+
+#include <openssl/mem.h>
+#include <openssl/thread.h>
+
+#include "internal.h"
+
+
+#if !defined(OPENSSL_NO_ASM) && \
+ (defined(OPENSSL_X86) || defined(OPENSSL_X86_64))
+#define OPENSSL_BN_ASM_MONT
+#endif
+
+BN_MONT_CTX *BN_MONT_CTX_new(void) {
+ BN_MONT_CTX *ret = OPENSSL_malloc(sizeof(BN_MONT_CTX));
+
+ if (ret == NULL) {
+ return NULL;
+ }
+
+ BN_MONT_CTX_init(ret);
+ ret->flags = BN_FLG_MALLOCED;
+ return ret;
+}
+
+void BN_MONT_CTX_init(BN_MONT_CTX *mont) {
+ memset(mont, 0, sizeof(BN_MONT_CTX));
+ BN_init(&mont->RR);
+ BN_init(&mont->N);
+ BN_init(&mont->Ni);
+}
+
+void BN_MONT_CTX_free(BN_MONT_CTX *mont) {
+ if (mont == NULL) {
+ return;
+ }
+
+ BN_free(&mont->RR);
+ BN_free(&mont->N);
+ BN_free(&mont->Ni);
+ if (mont->flags & BN_FLG_MALLOCED) {
+ OPENSSL_free(mont);
+ }
+}
+
+BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from) {
+ if (to == from) {
+ return to;
+ }
+
+ if (!BN_copy(&to->RR, &from->RR) ||
+ !BN_copy(&to->N, &from->N) ||
+ !BN_copy(&to->Ni, &from->Ni)) {
+ return NULL;
+ }
+ to->ri = from->ri;
+ to->n0[0] = from->n0[0];
+ to->n0[1] = from->n0[1];
+ return to;
+}
+
+int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx) {
+ int ret = 0;
+ BIGNUM *Ri, *R;
+ BIGNUM tmod;
+ BN_ULONG buf[2];
+
+ BN_CTX_start(ctx);
+ Ri = BN_CTX_get(ctx);
+ if (Ri == NULL) {
+ goto err;
+ }
+ R = &mont->RR; /* grab RR as a temp */
+ if (!BN_copy(&mont->N, mod)) {
+ goto err; /* Set N */
+ }
+ mont->N.neg = 0;
+
+ BN_init(&tmod);
+ tmod.d = buf;
+ tmod.dmax = 2;
+ tmod.neg = 0;
+
+ mont->ri = (BN_num_bits(mod) + (BN_BITS2 - 1)) / BN_BITS2 * BN_BITS2;
+
+#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2 <= 32)
+ /* Only certain BN_BITS2<=32 platforms actually make use of
+ * n0[1], and we could use the #else case (with a shorter R
+ * value) for the others. However, currently only the assembler
+ * files do know which is which. */
+
+ BN_zero(R);
+ if (!BN_set_bit(R, 2 * BN_BITS2)) {
+ goto err;
+ }
+
+ tmod.top = 0;
+ if ((buf[0] = mod->d[0])) {
+ tmod.top = 1;
+ }
+ if ((buf[1] = mod->top > 1 ? mod->d[1] : 0)) {
+ tmod.top = 2;
+ }
+
+ if (BN_mod_inverse(Ri, R, &tmod, ctx) == NULL) {
+ goto err;
+ }
+ if (!BN_lshift(Ri, Ri, 2 * BN_BITS2)) {
+ goto err; /* R*Ri */
+ }
+ if (!BN_is_zero(Ri)) {
+ if (!BN_sub_word(Ri, 1)) {
+ goto err;
+ }
+ } else {
+ /* if N mod word size == 1 */
+ if (bn_expand(Ri, (int)sizeof(BN_ULONG) * 2) == NULL) {
+ goto err;
+ }
+ /* Ri-- (mod double word size) */
+ Ri->neg = 0;
+ Ri->d[0] = BN_MASK2;
+ Ri->d[1] = BN_MASK2;
+ Ri->top = 2;
+ }
+
+ if (!BN_div(Ri, NULL, Ri, &tmod, ctx)) {
+ goto err;
+ }
+ /* Ni = (R*Ri-1)/N,
+ * keep only couple of least significant words: */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0;
+#else
+ BN_zero(R);
+ if (!BN_set_bit(R, BN_BITS2)) {
+ goto err; /* R */
+ }
+
+ buf[0] = mod->d[0]; /* tmod = N mod word size */
+ buf[1] = 0;
+ tmod.top = buf[0] != 0 ? 1 : 0;
+ /* Ri = R^-1 mod N*/
+ if (BN_mod_inverse(Ri, R, &tmod, ctx) == NULL) {
+ goto err;
+ }
+ if (!BN_lshift(Ri, Ri, BN_BITS2)) {
+ goto err; /* R*Ri */
+ }
+ if (!BN_is_zero(Ri)) {
+ if (!BN_sub_word(Ri, 1)) {
+ goto err;
+ }
+ } else {
+ /* if N mod word size == 1 */
+ if (!BN_set_word(Ri, BN_MASK2)) {
+ goto err; /* Ri-- (mod word size) */
+ }
+ }
+ if (!BN_div(Ri, NULL, Ri, &tmod, ctx)) {
+ goto err;
+ }
+ /* Ni = (R*Ri-1)/N,
+ * keep only least significant word: */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = 0;
+#endif
+
+ /* setup RR for conversions */
+ BN_zero(&(mont->RR));
+ if (!BN_set_bit(&(mont->RR), mont->ri * 2)) {
+ goto err;
+ }
+ if (!BN_mod(&(mont->RR), &(mont->RR), &(mont->N), ctx)) {
+ goto err;
+ }
+
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
+ const BIGNUM *mod, BN_CTX *ctx) {
+ BN_MONT_CTX *ret;
+
+ CRYPTO_r_lock(lock);
+ ret = *pmont;
+ CRYPTO_r_unlock(lock);
+ if (ret) {
+ return ret;
+ }
+
+ /* We don't want to serialise globally while doing our lazy-init math in
+ * BN_MONT_CTX_set. That punishes threads that are doing independent
+ * things. Instead, punish the case where more than one thread tries to
+ * lazy-init the same 'pmont', by having each do the lazy-init math work
+ * independently and only use the one from the thread that wins the race
+ * (the losers throw away the work they've done). */
+ ret = BN_MONT_CTX_new();
+ if (!ret) {
+ return NULL;
+ }
+ if (!BN_MONT_CTX_set(ret, mod, ctx)) {
+ BN_MONT_CTX_free(ret);
+ return NULL;
+ }
+
+ /* The locked compare-and-set, after the local work is done. */
+ CRYPTO_w_lock(lock);
+ if (*pmont) {
+ BN_MONT_CTX_free(ret);
+ ret = *pmont;
+ } else {
+ *pmont = ret;
+ }
+
+ CRYPTO_w_unlock(lock);
+
+ return ret;
+}
+
+int BN_to_montgomery(BIGNUM *ret, const BIGNUM *a, const BN_MONT_CTX *mont,
+ BN_CTX *ctx) {
+ return BN_mod_mul_montgomery(ret, a, &mont->RR, mont, ctx);
+}
+
+#if 0
+static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r,
+ const BN_MONT_CTX *mont) {
+ const BIGNUM *n;
+ BN_ULONG *ap, *np, *rp, n0, v, carry;
+ int nl, max, i;
+
+ n = &mont->N;
+ nl = n->top;
+ if (nl == 0) {
+ ret->top = 0;
+ return 1;
+ }
+
+ max = (2 * nl); /* carry is stored separately */
+ if (bn_wexpand(r, max) == NULL) {
+ return 0;
+ }
+
+ r->neg ^= n->neg;
+ np = n->d;
+ rp = r->d;
+
+ /* clear the top words of T */
+ if (max > r->top) {
+ memset(&rp[r->top], 0, (max - r->top) * sizeof(BN_ULONG));
+ }
+
+ r->top = max;
+ n0 = mont->n0[0];
+
+ for (carry = 0, i = 0; i < nl; i++, rp++) {
+ v = bn_mul_add_words(rp, np, nl, (rp[0] * n0) & BN_MASK2);
+ v = (v + carry + rp[nl]) & BN_MASK2;
+ carry |= (v != rp[nl]);
+ carry &= (v <= rp[nl]);
+ rp[nl] = v;
+ }
+
+ if (bn_wexpand(ret, nl) == NULL) {
+ return 0;
+ }
+ ret->top = nl;
+ ret->neg = r->neg;
+
+ rp = ret->d;
+ ap = &(r->d[nl]);
+
+ {
+ BN_ULONG *nrp;
+ size_t m;
+
+ v = bn_sub_words(rp, ap, np, nl) - carry;
+ /* if subtraction result is real, then trick unconditional memcpy below to
+ * perform in-place "refresh" instead of actual copy. */
+ m = (0 - (size_t)v);
+ nrp = (BN_ULONG *)(((intptr_t)rp & ~m) | ((intptr_t)ap & m));
+
+ for (i = 0, nl -= 4; i < nl; i += 4) {
+ BN_ULONG t1, t2, t3, t4;
+
+ t1 = nrp[i + 0];
+ t2 = nrp[i + 1];
+ t3 = nrp[i + 2];
+ ap[i + 0] = 0;
+ t4 = nrp[i + 3];
+ ap[i + 1] = 0;
+ rp[i + 0] = t1;
+ ap[i + 2] = 0;
+ rp[i + 1] = t2;
+ ap[i + 3] = 0;
+ rp[i + 2] = t3;
+ rp[i + 3] = t4;
+ }
+
+ for (nl += 4; i < nl; i++) {
+ rp[i] = nrp[i], ap[i] = 0;
+ }
+ }
+
+ bn_correct_top(r);
+ bn_correct_top(ret);
+
+ return 1;
+}
+#endif
+
+#define PTR_SIZE_INT size_t
+
+static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, const BN_MONT_CTX *mont)
+ {
+ BIGNUM *n;
+ BN_ULONG *ap,*np,*rp,n0,v,carry;
+ int nl,max,i;
+
+ n= (BIGNUM*) &(mont->N);
+ nl=n->top;
+ if (nl == 0) { ret->top=0; return(1); }
+
+ max=(2*nl); /* carry is stored separately */
+ if (bn_wexpand(r,max) == NULL) return(0);
+
+ r->neg^=n->neg;
+ np=n->d;
+ rp=r->d;
+
+ /* clear the top words of T */
+#if 1
+ for (i=r->top; i<max; i++) /* memset? XXX */
+ rp[i]=0;
+#else
+ memset(&(rp[r->top]),0,(max-r->top)*sizeof(BN_ULONG));
+#endif
+
+ r->top=max;
+ n0=mont->n0[0];
+
+ for (carry=0, i=0; i<nl; i++, rp++)
+ {
+ v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
+ v = (v+carry+rp[nl])&BN_MASK2;
+ carry |= (v != rp[nl]);
+ carry &= (v <= rp[nl]);
+ rp[nl]=v;
+ }
+
+ if (bn_wexpand(ret,nl) == NULL) return(0);
+ ret->top=nl;
+ ret->neg=r->neg;
+
+ rp=ret->d;
+ ap=&(r->d[nl]);
+
+ {
+ BN_ULONG *nrp;
+ size_t m;
+
+ v=bn_sub_words(rp,ap,np,nl)-carry;
+ /* if subtraction result is real, then
+ * trick unconditional memcpy below to perform in-place
+ * "refresh" instead of actual copy. */
+ m=(0-(size_t)v);
+ nrp=(BN_ULONG *)(((PTR_SIZE_INT)rp&~m)|((PTR_SIZE_INT)ap&m));
+
+ for (i=0,nl-=4; i<nl; i+=4)
+ {
+ BN_ULONG t1,t2,t3,t4;
+
+ t1=nrp[i+0];
+ t2=nrp[i+1];
+ t3=nrp[i+2]; ap[i+0]=0;
+ t4=nrp[i+3]; ap[i+1]=0;
+ rp[i+0]=t1; ap[i+2]=0;
+ rp[i+1]=t2; ap[i+3]=0;
+ rp[i+2]=t3;
+ rp[i+3]=t4;
+ }
+ for (nl+=4; i<nl; i++)
+ rp[i]=nrp[i], ap[i]=0;
+ }
+ bn_correct_top(r);
+ bn_correct_top(ret);
+
+ return(1);
+ }
+
+int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, const BN_MONT_CTX *mont,
+ BN_CTX *ctx) {
+ int retn = 0;
+ BIGNUM *t;
+
+ BN_CTX_start(ctx);
+ t = BN_CTX_get(ctx);
+ if (t == NULL) {
+ return 0;
+ }
+
+ if (BN_copy(t, a))
+ retn = BN_from_montgomery_word(ret, t, mont);
+ BN_CTX_end(ctx);
+
+ return retn;
+}
+
+int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BN_MONT_CTX *mont, BN_CTX *ctx) {
+ BIGNUM *tmp;
+ int ret = 0;
+
+#if defined(OPENSSL_BN_ASM_MONT)
+ int num = mont->N.top;
+
+ if (num > 1 && a->top == num && b->top == num) {
+ if (bn_wexpand(r, num) == NULL) {
+ return 0;
+ }
+ if (bn_mul_mont(r->d, a->d, b->d, mont->N.d, mont->n0, num)) {
+ r->neg = a->neg ^ b->neg;
+ r->top = num;
+ bn_correct_top(r);
+ return 1;
+ }
+ }
+#endif
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL) {
+ goto err;
+ }
+
+ if (a == b) {
+ if (!BN_sqr(tmp, a, ctx)) {
+ goto err;
+ }
+ } else {
+ if (!BN_mul(tmp, a, b, ctx)) {
+ goto err;
+ }
+ }
+
+ /* reduce from aRR to aR */
+ if (!BN_from_montgomery_word(r, tmp, mont)) {
+ goto err;
+ }
+
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+}