* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
+/* ====================================================================
+ * Copyright (c) 1998-2005 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).
+ *
+ */
+
+#define OPENSSL_FIPSAPI
-#include <stdio.h>
#include "cryptlib.h"
#include "bn_lcl.h"
-/* slow but works */
-int BN_mod_mul(ret, a, b, m, ctx)
-BIGNUM *ret;
-BIGNUM *a;
-BIGNUM *b;
-BIGNUM *m;
-BN_CTX *ctx;
- {
- BIGNUM *t;
- int r=0;
+#include <stdlib.h>
+#ifdef _WIN32
+# include <malloc.h>
+# ifndef alloca
+# define alloca _alloca
+# endif
+#elif defined(__GNUC__)
+# ifndef alloca
+# define alloca(s) __builtin_alloca((s))
+# endif
+#endif
- t=ctx->bn[ctx->tos++];
- if (a == b)
- { if (!BN_sqr(t,a,ctx)) goto err; }
- else
- { if (!BN_mul(t,a,b)) goto err; }
- if (!BN_mod(ret,t,m,ctx)) goto err;
- r=1;
-err:
- ctx->tos--;
- return(r);
- }
+#if defined(OPENSSL_BN_ASM_MONT) && (defined(__sparc__) || defined(__sparc))
+# include "sparc_arch.h"
+extern unsigned int OPENSSL_sparcv9cap_P[];
+#endif
+
+/* maximum precomputation table size for *variable* sliding windows */
+#define TABLE_SIZE 32
-#if 0
/* this one works - simple but works */
-int BN_mod_exp(r,a,p,m,ctx)
-BIGNUM *r,*a,*p,*m;
-BN_CTX *ctx;
+int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
{
int i,bits,ret=0;
- BIGNUM *v,*tmp;
-
- v=ctx->bn[ctx->tos++];
- tmp=ctx->bn[ctx->tos++];
-
- if (BN_copy(v,a) == NULL) goto err;
- bits=BN_num_bits(p);
-
- if (BN_is_odd(p))
- { if (BN_copy(r,a) == NULL) goto err; }
- else { if (BN_one(r)) goto err; }
+ BIGNUM *v,*rr;
- for (i=1; i<bits; i++)
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
{
- if (!BN_sqr(tmp,v,ctx)) goto err;
- if (!BN_mod(v,tmp,m,ctx)) goto err;
- if (BN_is_bit_set(p,i))
- {
- if (!BN_mul(tmp,r,v)) goto err;
- if (!BN_mod(r,tmp,m,ctx)) goto err;
- }
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_EXP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
}
- ret=1;
-err:
- ctx->tos-=2;
- return(ret);
- }
-#endif
-
-/* this one works - simple but works */
-int BN_exp(r,a,p,ctx)
-BIGNUM *r,*a,*p;
-BN_CTX *ctx;
- {
- int i,bits,ret=0;
- BIGNUM *v,*tmp;
-
- v=ctx->bn[ctx->tos++];
- tmp=ctx->bn[ctx->tos++];
+ BN_CTX_start(ctx);
+ if ((r == a) || (r == p))
+ rr = BN_CTX_get(ctx);
+ else
+ rr = r;
+ v = BN_CTX_get(ctx);
+ if (rr == NULL || v == NULL) goto err;
if (BN_copy(v,a) == NULL) goto err;
bits=BN_num_bits(p);
if (BN_is_odd(p))
- { if (BN_copy(r,a) == NULL) goto err; }
- else { if (BN_one(r)) goto err; }
+ { if (BN_copy(rr,a) == NULL) goto err; }
+ else { if (!BN_one(rr)) goto err; }
for (i=1; i<bits; i++)
{
- if (!BN_sqr(tmp,v,ctx)) goto err;
+ if (!BN_sqr(v,v,ctx)) goto err;
if (BN_is_bit_set(p,i))
{
- if (!BN_mul(tmp,r,v)) goto err;
+ if (!BN_mul(rr,rr,v,ctx)) goto err;
}
}
ret=1;
err:
- ctx->tos-=2;
+ if (r != rr) BN_copy(r,rr);
+ BN_CTX_end(ctx);
+ bn_check_top(r);
return(ret);
}
-int BN_mod_exp(r,a,p,m,ctx)
-BIGNUM *r;
-BIGNUM *a;
-BIGNUM *p;
-BIGNUM *m;
-BN_CTX *ctx;
+
+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);
+
+ /* For even modulus m = 2^k*m_odd, it might make sense to compute
+ * a^p mod m_odd and a^p mod 2^k separately (with Montgomery
+ * exponentiation for the odd part), using appropriate exponent
+ * reductions, and combine the results using the CRT.
+ *
+ * For now, we use Montgomery only if the modulus is odd; otherwise,
+ * exponentiation using the reciprocal-based quick remaindering
+ * algorithm is used.
+ *
+ * (Timing obtained with expspeed.c [computations a^p mod m
+ * where a, p, m are of the same length: 256, 512, 1024, 2048,
+ * 4096, 8192 bits], compared to the running time of the
+ * standard algorithm:
+ *
+ * BN_mod_exp_mont 33 .. 40 % [AMD K6-2, Linux, debug configuration]
+ * 55 .. 77 % [UltraSparc processor, but
+ * debug-solaris-sparcv8-gcc conf.]
+ *
+ * BN_mod_exp_recp 50 .. 70 % [AMD K6-2, Linux, debug configuration]
+ * 62 .. 118 % [UltraSparc, debug-solaris-sparcv8-gcc]
+ *
+ * On the Sparc, BN_mod_exp_recp was faster than BN_mod_exp_mont
+ * at 2048 and more bits, but at 512 and 1024 bits, it was
+ * slower even than the standard algorithm!
+ *
+ * "Real" timings [linux-elf, solaris-sparcv9-gcc configurations]
+ * should be obtained when the new Montgomery reduction code
+ * has been integrated into OpenSSL.)
+ */
+
+#define MONT_MUL_MOD
+#define MONT_EXP_WORD
+#define RECP_MUL_MOD
+
#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
/* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */
if (BN_is_odd(m))
- { ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL); }
+ {
+# ifdef MONT_EXP_WORD
+ if (a->top == 1 && !a->neg && (BN_get_flags(p, BN_FLG_CONSTTIME) == 0))
+ {
+ BN_ULONG A = a->d[0];
+ ret=BN_mod_exp_mont_word(r,A,p,m,ctx,NULL);
+ }
+ else
+# endif
+ ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL);
+ }
else
#endif
#ifdef RECP_MUL_MOD
{ ret=BN_mod_exp_simple(r,a,p,m,ctx); }
#endif
+ bn_check_top(r);
return(ret);
}
-/* #ifdef RECP_MUL_MOD */
-int BN_mod_exp_recp(r,a,p,m,ctx)
-BIGNUM *r;
-BIGNUM *a;
-BIGNUM *p;
-BIGNUM *m;
-BN_CTX *ctx;
+
+int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx)
{
- int nb,i,j,bits,ret=0,wstart,wend,window,wvalue;
+ int i,j,bits,ret=0,wstart,wend,window,wvalue;
int start=1;
- BIGNUM *d,*aa;
- BIGNUM *val[16];
+ BIGNUM *aa;
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
+ BN_RECP_CTX recp;
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_RECP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
- d=ctx->bn[ctx->tos++];
- aa=ctx->bn[ctx->tos++];
bits=BN_num_bits(p);
if (bits == 0)
{
- BN_one(r);
- return(1);
+ ret = BN_one(r);
+ return ret;
}
- nb=BN_reciprocal(d,m,ctx);
- if (nb == -1) goto err;
- val[0]=BN_new();
- if (!BN_mod(val[0],a,m,ctx)) goto err; /* 1 */
- if (!BN_mod_mul_reciprocal(aa,val[0],val[0],m,d,nb,ctx))
- goto err; /* 2 */
+ BN_CTX_start(ctx);
+ aa = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!aa || !val[0]) goto err;
- if (bits <= 17) /* This is probably 3 or 0x10001, so just do singles */
- window=1;
- else if (bits >= 256)
- window=5; /* max size of window */
- else if (bits >= 128)
- window=4;
+ BN_RECP_CTX_init(&recp);
+ if (m->neg)
+ {
+ /* ignore sign of 'm' */
+ if (!BN_copy(aa, m)) goto err;
+ aa->neg = 0;
+ if (BN_RECP_CTX_set(&recp,aa,ctx) <= 0) goto err;
+ }
else
- window=3;
+ {
+ if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err;
+ }
- j=1<<(window-1);
- for (i=1; i<j; i++)
+ if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
+ if (BN_is_zero(val[0]))
{
- val[i]=BN_new();
- if (!BN_mod_mul_reciprocal(val[i],val[i-1],aa,m,d,nb,ctx))
- goto err;
+ BN_zero(r);
+ ret = 1;
+ goto err;
}
- for (; i<16; i++)
- val[i]=NULL;
+ 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++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_reciprocal(val[i],val[i-1],
+ aa,&recp,ctx))
+ goto err;
+ }
+ }
+
start=1; /* This is used to avoid multiplication etc
* when there is only the value '1' in the
* buffer. */
if (BN_is_bit_set(p,wstart) == 0)
{
if (!start)
- if (!BN_mod_mul_reciprocal(r,r,r,m,d,nb,ctx))
+ if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx))
goto err;
if (wstart == 0) break;
wstart--;
if (!start)
for (i=0; i<j; i++)
{
- if (!BN_mod_mul_reciprocal(r,r,r,m,d,nb,ctx))
+ 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],m,d,nb,ctx))
+ if (!BN_mod_mul_reciprocal(r,r,val[wvalue>>1],&recp,ctx))
goto err;
/* move the 'window' down further */
}
ret=1;
err:
- ctx->tos-=2;
- for (i=0; i<16; i++)
- if (val[i] != NULL) BN_clear_free(val[i]);
+ BN_CTX_end(ctx);
+ BN_RECP_CTX_free(&recp);
+ bn_check_top(r);
return(ret);
}
-/* #endif */
-
-/* #ifdef MONT_MUL_MOD */
-int BN_mod_exp_mont(r,a,p,m,ctx,in_mont)
-BIGNUM *r;
-BIGNUM *a;
-BIGNUM *p;
-BIGNUM *m;
-BN_CTX *ctx;
-BN_MONT_CTX *in_mont;
+
+
+int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
{
-#define TABLE_SIZE 16
int i,j,bits,ret=0,wstart,wend,window,wvalue;
int start=1;
- BIGNUM *d,*aa;
+ BIGNUM *d,*r;
+ const BIGNUM *aa;
+ /* Table of variables obtained from 'ctx' */
BIGNUM *val[TABLE_SIZE];
BN_MONT_CTX *mont=NULL;
- if (!(m->d[0] & 1))
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);
+ }
+
+ bn_check_top(a);
+ bn_check_top(p);
+ bn_check_top(m);
+
+ if (!BN_is_odd(m))
{
BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS);
return(0);
}
- d=ctx->bn[ctx->tos++];
bits=BN_num_bits(p);
if (bits == 0)
{
- BN_one(r);
- return(1);
+ ret = BN_one(rr);
+ return ret;
}
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ r = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if (!d || !r || !val[0]) goto err;
+
/* If this is not done, things will break in the montgomery
* part */
-#if 1
if (in_mont != NULL)
mont=in_mont;
else
-#endif
{
if ((mont=BN_MONT_CTX_new()) == NULL) goto err;
if (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
}
- val[0]=BN_new();
- if (BN_ucmp(a,m) >= 0)
+ if (a->neg || BN_ucmp(a,m) >= 0)
{
- BN_mod(val[0],a,m,ctx);
- aa=val[0];
+ if (!BN_nnmod(val[0],a,m,ctx))
+ goto err;
+ aa= val[0];
}
else
aa=a;
+ if (BN_is_zero(aa))
+ {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
if (!BN_to_montgomery(val[0],aa,mont,ctx)) goto err; /* 1 */
- if (!BN_mod_mul_montgomery(d,val[0],val[0],mont,ctx)) goto err; /* 2 */
-
- if (bits <= 20) /* This is probably 3 or 0x10001, so just do singles */
- window=1;
- else if (bits > 250)
- window=5; /* max size of window */
- else if (bits >= 120)
- window=4;
- else
- window=3;
- j=1<<(window-1);
- for (i=1; i<j; i++)
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
{
- val[i]=BN_new();
- if (!BN_mod_mul_montgomery(val[i],val[i-1],d,mont,ctx))
- goto err;
+ 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++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val[i],val[i-1],
+ d,mont,ctx))
+ goto err;
+ }
}
- for (; i<TABLE_SIZE; i++)
- val[i]=NULL;
start=1; /* This is used to avoid multiplication etc
* when there is only the value '1' in the
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;
+ if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
for (;;)
{
if (BN_is_bit_set(p,wstart) == 0)
start=0;
if (wstart < 0) break;
}
- BN_from_montgomery(r,r,mont,ctx);
+ 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);
+ bn_check_top(rr);
+ return(ret);
+ }
+
+
+/* BN_mod_exp_mont_consttime() stores the precomputed powers in a specific layout
+ * so that accessing any of these table values shows the same access pattern as far
+ * as cache lines are concerned. The following functions are used to transfer a BIGNUM
+ * from/to that table. */
+
+static int MOD_EXP_CTIME_COPY_TO_PREBUF(const BIGNUM *b, int top, unsigned char *buf, int idx, int width)
+ {
+ size_t i, j;
+
+ if (top > b->top)
+ top = b->top; /* this works because 'buf' is explicitly zeroed */
+ for (i = 0, j=idx; i < top * sizeof b->d[0]; i++, j+=width)
+ {
+ buf[j] = ((unsigned char*)b->d)[i];
+ }
+
+ return 1;
+ }
+
+static int MOD_EXP_CTIME_COPY_FROM_PREBUF(BIGNUM *b, int top, unsigned char *buf, int idx, int width)
+ {
+ size_t i, j;
+
+ if (bn_wexpand(b, top) == NULL)
+ return 0;
+
+ for (i=0, j=idx; i < top * sizeof b->d[0]; i++, j+=width)
+ {
+ ((unsigned char*)b->d)[i] = buf[j];
+ }
+
+ b->top = top;
+ bn_correct_top(b);
+ return 1;
+ }
+
+/* Given a pointer value, compute the next address that is a cache line multiple. */
+#define MOD_EXP_CTIME_ALIGN(x_) \
+ ((unsigned char*)(x_) + (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - (((size_t)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK))))
+
+/* This variant of BN_mod_exp_mont() uses fixed windows and the special
+ * precomputation memory layout to limit data-dependency to a minimum
+ * to protect secret exponents (cf. the hyper-threading timing attacks
+ * pointed out by Colin Percival,
+ * http://www.daemonology.net/hyperthreading-considered-harmful/)
+ */
+int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
+ {
+ int i,bits,ret=0,window,wvalue;
+ int top;
+ BN_MONT_CTX *mont=NULL;
+
+ int numPowers;
+ unsigned char *powerbufFree=NULL;
+ int powerbufLen = 0;
+ unsigned char *powerbuf=NULL;
+ BIGNUM tmp, am;
+#if defined(OPENSSL_BN_ASM_MONT) && (defined(__sparc__) || defined(__sparc))
+ unsigned int t4=0;
+#endif
+
+ bn_check_top(a);
+ bn_check_top(p);
+ bn_check_top(m);
+
+ top = m->top;
+
+ if (!(m->d[0] & 1))
+ {
+ BNerr(BN_F_BN_MOD_EXP_MONT_CONSTTIME,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ bits=BN_num_bits(p);
+ if (bits == 0)
+ {
+ ret = BN_one(rr);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+
+ /* Allocate a montgomery context if it was not supplied by the caller.
+ * 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;
+ }
+
+ /* Get the window size to use with size of p. */
+ window = BN_window_bits_for_ctime_exponent_size(bits);
+#if defined(OPENSSL_BN_ASM_MONT) && (defined(__sparc__) || defined(__sparc))
+ if (window>=5 && (top&15)==0 && top<=64 &&
+ (OPENSSL_sparcv9cap_P[1]&(CFR_MONTMUL|CFR_MONTSQR))==
+ (CFR_MONTMUL|CFR_MONTSQR) &&
+ (t4=OPENSSL_sparcv9cap_P[0]))
+ window=5;
+ else
+#endif
+#if defined(OPENSSL_BN_ASM_MONT5)
+ if (window==6 && bits<=1024) window=5; /* ~5% improvement of 2048-bit RSA sign */
+#endif
+ (void)0;
+
+ /* Allocate a buffer large enough to hold all of the pre-computed
+ * powers of am, am itself and tmp.
+ */
+ numPowers = 1 << window;
+ powerbufLen = sizeof(m->d[0])*(top*numPowers +
+ ((2*top)>numPowers?(2*top):numPowers));
+#ifdef alloca
+ if (powerbufLen < 3072)
+ powerbufFree = alloca(powerbufLen+MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH);
+ else
+#endif
+ if ((powerbufFree=(unsigned char*)OPENSSL_malloc(powerbufLen+MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH)) == NULL)
+ goto err;
+
+ powerbuf = MOD_EXP_CTIME_ALIGN(powerbufFree);
+ memset(powerbuf, 0, powerbufLen);
+
+#ifdef alloca
+ if (powerbufLen < 3072)
+ powerbufFree = NULL;
+#endif
+
+ /* lay down tmp and am right after powers table */
+ tmp.d = (BN_ULONG *)(powerbuf + sizeof(m->d[0])*top*numPowers);
+ am.d = tmp.d + top;
+ tmp.top = am.top = 0;
+ tmp.dmax = am.dmax = top;
+ tmp.neg = am.neg = 0;
+ tmp.flags = am.flags = BN_FLG_STATIC_DATA;
+
+ /* prepare a^0 in Montgomery domain */
+#if 1
+ if (!BN_to_montgomery(&tmp,BN_value_one(),mont,ctx)) goto err;
+#else
+ tmp.d[0] = (0-m->d[0])&BN_MASK2; /* 2^(top*BN_BITS2) - m */
+ for (i=1;i<top;i++)
+ tmp.d[i] = (~m->d[i])&BN_MASK2;
+ tmp.top = top;
+#endif
+
+ /* prepare a^1 in Montgomery domain */
+ if (a->neg || BN_ucmp(a,m) >= 0)
+ {
+ if (!BN_mod(&am,a,m,ctx)) goto err;
+ if (!BN_to_montgomery(&am,&am,mont,ctx)) goto err;
+ }
+ else if (!BN_to_montgomery(&am,a,mont,ctx)) goto err;
+
+#if defined(OPENSSL_BN_ASM_MONT) && (defined(__sparc__) || defined(__sparc))
+ if (t4)
+ {
+ typedef int (*bn_pwr5_mont_f)(BN_ULONG *tp,const BN_ULONG *np,
+ const BN_ULONG *n0,const void *table,int power);
+ int bn_pwr5_mont_t4_8(BN_ULONG *tp,const BN_ULONG *np,
+ const BN_ULONG *n0,const void *table,int power);
+ int bn_pwr5_mont_t4_16(BN_ULONG *tp,const BN_ULONG *np,
+ const BN_ULONG *n0,const void *table,int power);
+ int bn_pwr5_mont_t4_24(BN_ULONG *tp,const BN_ULONG *np,
+ const BN_ULONG *n0,const void *table,int power);
+ int bn_pwr5_mont_t4_32(BN_ULONG *tp,const BN_ULONG *np,
+ const BN_ULONG *n0,const void *table,int power);
+ static const bn_pwr5_mont_f funcs[4] = {
+ bn_pwr5_mont_t4_8, bn_pwr5_mont_t4_16,
+ bn_pwr5_mont_t4_24, bn_pwr5_mont_t4_32 };
+ bn_pwr5_mont_f worker = funcs[top/16-1];
+
+ void bn_mul_mont_t4(BN_ULONG *rp,const BN_ULONG *ap,
+ const void *bp,const BN_ULONG *np,
+ const BN_ULONG *n0,int num);
+ void bn_mul_mont_gather5_t4(BN_ULONG *rp,const BN_ULONG *ap,
+ const void *table,const BN_ULONG *np,
+ const BN_ULONG *n0,int num,int power);
+ void bn_scatter5_t4(const BN_ULONG *inp,size_t num,
+ void *table,size_t power);
+ void bn_gather5_t4(BN_ULONG *out,size_t num,
+ void *table,size_t power);
+ void bn_flip_t4(BN_ULONG *dst,BN_ULONG *src,size_t num);
+
+ BN_ULONG *np=alloca(top*sizeof(BN_ULONG)), *n0=mont->n0;
+
+ /* BN_to_montgomery can contaminate words above .top
+ * [in BN_DEBUG[_DEBUG] build]... */
+ for (i=am.top; i<top; i++) am.d[i]=0;
+ for (i=tmp.top; i<top; i++) tmp.d[i]=0;
+
+ /* switch to 64-bit domain */
+ top /= 2;
+ bn_flip_t4(np,mont->N.d,top);
+ bn_flip_t4(tmp.d,tmp.d,top);
+ bn_flip_t4(am.d,am.d,top);
+
+ bn_scatter5_t4(tmp.d,top,powerbuf,0);
+ bn_scatter5_t4(am.d,top,powerbuf,1);
+ bn_mul_mont_t4(tmp.d,am.d,am.d,np,n0,top);
+ bn_scatter5_t4(tmp.d,top,powerbuf,2);
+
+ for (i=3; i<32; i++)
+ {
+ /* Calculate a^i = a^(i-1) * a */
+ bn_mul_mont_gather5_t4(tmp.d,am.d,powerbuf,np,n0,top,i-1);
+ bn_scatter5_t4(tmp.d,top,powerbuf,i);
+ }
+
+ bits--;
+ for (wvalue=0, i=bits%5; i>=0; i--,bits--)
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+ bn_gather5_t4(tmp.d,top,powerbuf,wvalue);
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ while (bits >= 0)
+ {
+ for (wvalue=0, i=0; i<5; i++,bits--)
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+
+ if ((*worker)(tmp.d,np,n0,powerbuf,wvalue)) continue;
+ /* retry once and fall back */
+ if ((*worker)(tmp.d,np,n0,powerbuf,wvalue)) continue;
+ bn_mul_mont_t4(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_t4(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_t4(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_t4(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_t4(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_gather5_t4(tmp.d,tmp.d,powerbuf,np,n0,top,wvalue);
+ }
+
+ bn_flip_t4(tmp.d,tmp.d,top);
+ top *= 2;
+ /* back to 32-bit domain */
+ tmp.top=top;
+ bn_correct_top(&tmp);
+ OPENSSL_cleanse(np,top*sizeof(BN_ULONG));
+ }
+ else
+#endif
+#if defined(OPENSSL_BN_ASM_MONT5)
+ /* This optimization uses ideas from http://eprint.iacr.org/2011/239,
+ * specifically optimization of cache-timing attack countermeasures
+ * and pre-computation optimization. */
+
+ /* Dedicated window==4 case improves 512-bit RSA sign by ~15%, but as
+ * 512-bit RSA is hardly relevant, we omit it to spare size... */
+ if (window==5)
+ {
+ void bn_mul_mont_gather5(BN_ULONG *rp,const BN_ULONG *ap,
+ const void *table,const BN_ULONG *np,
+ const BN_ULONG *n0,int num,int power);
+ void bn_scatter5(const BN_ULONG *inp,size_t num,
+ void *table,size_t power);
+ void bn_gather5(BN_ULONG *out,size_t num,
+ void *table,size_t power);
+
+ BN_ULONG *np=mont->N.d, *n0=mont->n0;
+
+ /* BN_to_montgomery can contaminate words above .top
+ * [in BN_DEBUG[_DEBUG] build]... */
+ for (i=am.top; i<top; i++) am.d[i]=0;
+ for (i=tmp.top; i<top; i++) tmp.d[i]=0;
+
+ bn_scatter5(tmp.d,top,powerbuf,0);
+ bn_scatter5(am.d,am.top,powerbuf,1);
+ bn_mul_mont(tmp.d,am.d,am.d,np,n0,top);
+ bn_scatter5(tmp.d,top,powerbuf,2);
+
+#if 0
+ for (i=3; i<32; i++)
+ {
+ /* Calculate a^i = a^(i-1) * a */
+ bn_mul_mont_gather5(tmp.d,am.d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(tmp.d,top,powerbuf,i);
+ }
+#else
+ /* same as above, but uses squaring for 1/2 of operations */
+ for (i=4; i<32; i*=2)
+ {
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_scatter5(tmp.d,top,powerbuf,i);
+ }
+ for (i=3; i<8; i+=2)
+ {
+ int j;
+ bn_mul_mont_gather5(tmp.d,am.d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(tmp.d,top,powerbuf,i);
+ for (j=2*i; j<32; j*=2)
+ {
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_scatter5(tmp.d,top,powerbuf,j);
+ }
+ }
+ for (; i<16; i+=2)
+ {
+ bn_mul_mont_gather5(tmp.d,am.d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(tmp.d,top,powerbuf,i);
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_scatter5(tmp.d,top,powerbuf,2*i);
+ }
+ for (; i<32; i+=2)
+ {
+ bn_mul_mont_gather5(tmp.d,am.d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(tmp.d,top,powerbuf,i);
+ }
+#endif
+ bits--;
+ for (wvalue=0, i=bits%5; i>=0; i--,bits--)
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+ bn_gather5(tmp.d,top,powerbuf,wvalue);
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ while (bits >= 0)
+ {
+ for (wvalue=0, i=0; i<5; i++,bits--)
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont(tmp.d,tmp.d,tmp.d,np,n0,top);
+ bn_mul_mont_gather5(tmp.d,tmp.d,powerbuf,np,n0,top,wvalue);
+ }
+
+ tmp.top=top;
+ bn_correct_top(&tmp);
+ }
+ else
+#endif
+ {
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, 0, numPowers)) goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&am, top, powerbuf, 1, numPowers)) goto err;
+
+ /* If the window size is greater than 1, then calculate
+ * val[i=2..2^winsize-1]. Powers are computed as a*a^(i-1)
+ * (even powers could instead be computed as (a^(i/2))^2
+ * to use the slight performance advantage of sqr over mul).
+ */
+ if (window > 1)
+ {
+ if (!BN_mod_mul_montgomery(&tmp,&am,&am,mont,ctx)) goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, 2, numPowers)) goto err;
+ for (i=3; i<numPowers; i++)
+ {
+ /* Calculate a^i = a^(i-1) * a */
+ if (!BN_mod_mul_montgomery(&tmp,&am,&tmp,mont,ctx))
+ goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, i, numPowers)) goto err;
+ }
+ }
+
+ bits--;
+ for (wvalue=0, i=bits%window; i>=0; i--,bits--)
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+ if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&tmp,top,powerbuf,wvalue,numPowers)) goto err;
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ while (bits >= 0)
+ {
+ wvalue=0; /* The 'value' of the window */
+
+ /* Scan the window, squaring the result as we go */
+ for (i=0; i<window; i++,bits--)
+ {
+ if (!BN_mod_mul_montgomery(&tmp,&tmp,&tmp,mont,ctx)) goto err;
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,bits);
+ }
+
+ /* Fetch the appropriate pre-computed value from the pre-buf */
+ if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&am, top, powerbuf, wvalue, numPowers)) goto err;
+
+ /* Multiply the result into the intermediate result */
+ if (!BN_mod_mul_montgomery(&tmp,&tmp,&am,mont,ctx)) goto err;
+ }
+ }
+
+ /* Convert the final result from montgomery to standard format */
+ if (!BN_from_montgomery(rr,&tmp,mont,ctx)) goto err;
ret=1;
err:
if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
- ctx->tos--;
- for (i=0; i<TABLE_SIZE; i++)
- if (val[i] != NULL) BN_clear_free(val[i]);
+ if (powerbuf!=NULL)
+ {
+ OPENSSL_cleanse(powerbuf,powerbufLen);
+ if (powerbufFree) OPENSSL_free(powerbufFree);
+ }
+ BN_CTX_end(ctx);
return(ret);
}
-/* #endif */
+
+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). */
+ /* We can use BN_mod and do not need BN_nnmod because our
+ * accumulator is never negative (the result of BN_mod does
+ * not depend on the sign of the modulus).
+ */
+#define BN_TO_MONTGOMERY_WORD(r, w, mont) \
+ (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx))
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_MONT_WORD,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
+ bn_check_top(p);
+ bn_check_top(m);
+
+ if (!BN_is_odd(m))
+ {
+ BNerr(BN_F_BN_MOD_EXP_MONT_WORD,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ if (m->top == 1)
+ a %= m->d[0]; /* make sure that 'a' is reduced */
+
+ bits = BN_num_bits(p);
+ if (bits == 0)
+ {
+ /* x**0 mod 1 is still zero. */
+ if (BN_is_one(m))
+ {
+ ret = 1;
+ BN_zero(rr);
+ }
+ else
+ ret = BN_one(rr);
+ return ret;
+ }
+ if (a == 0)
+ {
+ BN_zero(rr);
+ ret = 1;
+ return ret;
+ }
+
+ 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);
+ bn_check_top(rr);
+ return(ret);
+ }
+
/* The old fallback, simple version :-) */
-int BN_mod_exp_simple(r,a,p,m,ctx)
-BIGNUM *r;
-BIGNUM *a;
-BIGNUM *p;
-BIGNUM *m;
-BN_CTX *ctx;
+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;
int start=1;
BIGNUM *d;
- BIGNUM *val[16];
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_SIMPLE,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
- d=ctx->bn[ctx->tos++];
bits=BN_num_bits(p);
if (bits == 0)
{
- BN_one(r);
- return(1);
+ ret = BN_one(r);
+ return ret;
}
- val[0]=BN_new();
- if (!BN_mod(val[0],a,m,ctx)) goto err; /* 1 */
- if (!BN_mod_mul(d,val[0],val[0],m,ctx))
- goto err; /* 2 */
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!d || !val[0]) goto err;
- if (bits <= 17) /* This is probably 3 or 0x10001, so just do singles */
- window=1;
- else if (bits >= 256)
- window=5; /* max size of window */
- else if (bits >= 128)
- window=4;
- else
- window=3;
+ if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
+ if (BN_is_zero(val[0]))
+ {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
- j=1<<(window-1);
- for (i=1; i<j; i++)
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
{
- val[i]=BN_new();
- if (!BN_mod_mul(val[i],val[i-1],d,m,ctx))
- goto err;
+ if (!BN_mod_mul(d,val[0],val[0],m,ctx))
+ goto err; /* 2 */
+ j=1<<(window-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul(val[i],val[i-1],d,m,ctx))
+ goto err;
+ }
}
- for (; i<16; i++)
- val[i]=NULL;
start=1; /* This is used to avoid multiplication etc
* when there is only the value '1' in the
}
ret=1;
err:
- ctx->tos--;
- for (i=0; i<16; i++)
- if (val[i] != NULL) BN_clear_free(val[i]);
+ BN_CTX_end(ctx);
+ bn_check_top(r);
return(ret);
}
-
projects / openssl.git / blobdiff