* [including the GNU Public Licence.]
*/
/* ====================================================================
- * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ * 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
*
*/
+#define OPENSSL_FIPSAPI
-#include <stdio.h>
#include "cryptlib.h"
#include "bn_lcl.h"
-#ifdef ATALLA
-# include <alloca.h>
-# include <atasi.h>
-# include <assert.h>
-# include <dlfcn.h>
-#endif
-
-
-#define TABLE_SIZE 16
-
-/* slow but works */
-int BN_mod_mul(BIGNUM *ret, BIGNUM *a, 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);
- }
+#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
+/* maximum precomputation table size for *variable* sliding windows */
+#define TABLE_SIZE 32
/* this one works - simple but works */
-int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
+int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
{
int i,bits,ret=0;
BIGNUM *v,*rr;
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_EXP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
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;
+ 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);
err:
if (r != rr) BN_copy(r,rr);
BN_CTX_end(ctx);
+ bn_check_top(r);
return(ret);
}
-#ifdef ATALLA
-
-/*
- * This routine will dynamically check for the existance of an Atalla AXL-200
- * SSL accelerator module. If one is found, the variable
- * asi_accelerator_present is set to 1 and the function pointers
- * ptr_ASI_xxxxxx above will be initialized to corresponding ASI API calls.
- */
-typedef int tfnASI_GetPerformanceStatistics(int reset_flag,
- unsigned int *ret_buf);
-typedef int tfnASI_GetHardwareConfig(long card_num, unsigned int *ret_buf);
-typedef int tfnASI_RSAPrivateKeyOpFn(RSAPrivateKey * rsaKey,
- unsigned char *output,
- unsigned char *input,
- unsigned int modulus_len);
-
-static tfnASI_GetHardwareConfig *ptr_ASI_GetHardwareConfig;
-static tfnASI_RSAPrivateKeyOpFn *ptr_ASI_RSAPrivateKeyOpFn;
-static tfnASI_GetPerformanceStatistics *ptr_ASI_GetPerformanceStatistics;
-static int asi_accelerator_present;
-static int tried_atalla;
-
-void atalla_initialize_accelerator_handle(void)
- {
- void *dl_handle;
- int status;
- unsigned int config_buf[1024];
- static int tested;
-
- if(tested)
- return;
-
- tested=1;
-
- bzero((void *)config_buf, 1024);
-
- /*
- * Check to see if the library is present on the system
- */
- dl_handle = dlopen("atasi.so", RTLD_NOW);
- if (dl_handle == (void *) NULL)
- {
-/* printf("atasi.so library is not present on the system\n");
- printf("No HW acceleration available\n");*/
- return;
- }
-
- /*
- * The library is present. Now we'll check to insure that the
- * LDM is up and running. First we'll get the address of the
- * function in the atasi library that we need to see if the
- * LDM is operating.
- */
-
- ptr_ASI_GetHardwareConfig =
- (tfnASI_GetHardwareConfig *)dlsym(dl_handle,"ASI_GetHardwareConfig");
-
- if (ptr_ASI_GetHardwareConfig)
- {
- /*
- * We found the call, now we'll get our config
- * status. If we get a non 0 result, the LDM is not
- * running and we cannot use the Atalla ASI *
- * library.
- */
- status = (*ptr_ASI_GetHardwareConfig)(0L, config_buf);
- if (status != 0)
- {
- printf("atasi.so library is present but not initialized\n");
- printf("No HW acceleration available\n");
- return;
- }
- }
- else
- {
-/* printf("We found the library, but not the function. Very Strange!\n");*/
- return ;
- }
-
- /*
- * It looks like we have acceleration capabilities. Load up the
- * pointers to our ASI API calls.
- */
- ptr_ASI_RSAPrivateKeyOpFn=
- (tfnASI_RSAPrivateKeyOpFn *)dlsym(dl_handle, "ASI_RSAPrivateKeyOpFn");
- if (ptr_ASI_RSAPrivateKeyOpFn == NULL)
- {
-/* printf("We found the library, but no RSA function. Very Strange!\n");*/
- return;
- }
-
- ptr_ASI_GetPerformanceStatistics =
- (tfnASI_GetPerformanceStatistics *)dlsym(dl_handle, "ASI_GetPerformanceStatistics");
- if (ptr_ASI_GetPerformanceStatistics == NULL)
- {
-/* printf("We found the library, but no stat function. Very Strange!\n");*/
- return;
- }
-
- /*
- * Indicate that acceleration is available
- */
- asi_accelerator_present = 1;
-
-/* printf("This system has acceleration!\n");*/
-
- return;
- }
-
-/* make sure this only gets called once when bn_mod_exp calls bn_mod_exp_mont */
-int BN_mod_exp_atalla(BIGNUM *r, BIGNUM *a, const BIGNUM *p, const BIGNUM *m)
- {
- unsigned char *abin;
- unsigned char *pbin;
- unsigned char *mbin;
- unsigned char *rbin;
- int an,pn,mn,ret;
- RSAPrivateKey keydata;
-
- atalla_initialize_accelerator_handle();
- if(!asi_accelerator_present)
- return 0;
-
-
-/* We should be able to run without size testing */
-# define ASIZE 128
- an=BN_num_bytes(a);
- pn=BN_num_bytes(p);
- mn=BN_num_bytes(m);
-
- if(an <= ASIZE && pn <= ASIZE && mn <= ASIZE)
- {
- int size=mn;
-
- assert(an <= mn);
- abin=alloca(size);
- memset(abin,'\0',mn);
- BN_bn2bin(a,abin+size-an);
-
- pbin=alloca(pn);
- BN_bn2bin(p,pbin);
-
- mbin=alloca(size);
- memset(mbin,'\0',mn);
- BN_bn2bin(m,mbin+size-mn);
-
- rbin=alloca(size);
-
- memset(&keydata,'\0',sizeof keydata);
- keydata.privateExponent.data=pbin;
- keydata.privateExponent.len=pn;
- keydata.modulus.data=mbin;
- keydata.modulus.len=size;
-
- ret=(*ptr_ASI_RSAPrivateKeyOpFn)(&keydata,rbin,abin,keydata.modulus.len);
-/*fprintf(stderr,"!%s\n",BN_bn2hex(a));*/
- if(!ret)
- {
- BN_bin2bn(rbin,keydata.modulus.len,r);
-/*fprintf(stderr,"?%s\n",BN_bn2hex(r));*/
- return 1;
- }
- }
- return 0;
- }
-#endif /* def ATALLA */
-
-
-int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p, const BIGNUM *m,
+int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m,
BN_CTX *ctx)
{
int ret;
bn_check_top(p);
bn_check_top(m);
-#ifdef ATALLA
- if(BN_mod_exp_atalla(r,a,p,m))
- return 1;
-/* If it fails, try the other methods (but don't try atalla again) */
- tried_atalla=1;
-#endif
+ /* 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
if (BN_is_odd(m))
{
- if (a->top == 1)
+# 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
{ ret=BN_mod_exp_simple(r,a,p,m,ctx); }
#endif
-#ifdef ATALLA
- tried_atalla=0;
-#endif
-
+ bn_check_top(r);
return(ret);
}
const BIGNUM *m, BN_CTX *ctx)
{
int i,j,bits,ret=0,wstart,wend,window,wvalue;
- int start=1,ts=0;
+ int start=1;
BIGNUM *aa;
- BIGNUM val[TABLE_SIZE];
+ /* 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;
+ }
+
bits=BN_num_bits(p);
if (bits == 0)
{
- BN_one(r);
- return(1);
+ ret = BN_one(r);
+ return ret;
}
BN_CTX_start(ctx);
- if ((aa = BN_CTX_get(ctx)) == NULL) goto err;
+ aa = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!aa || !val[0]) 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 */
- if (!BN_mod_mul_reciprocal(aa,&(val[0]),&(val[0]),&recp,ctx))
- goto err; /* 2 */
-
- 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;
+ 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]))
{
- BN_init(&val[i]);
- if (!BN_mod_mul_reciprocal(&(val[i]),&(val[i-1]),aa,&recp,ctx))
- goto err;
+ BN_zero(r);
+ ret = 1;
+ goto err;
}
- ts=i;
+ 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. */
}
/* wvalue will be an odd number < 2^window */
- if (!BN_mod_mul_reciprocal(r,r,&(val[wvalue>>1]),&recp,ctx))
+ if (!BN_mod_mul_reciprocal(r,r,val[wvalue>>1],&recp,ctx))
goto err;
/* move the 'window' down further */
ret=1;
err:
BN_CTX_end(ctx);
- for (i=0; i<ts; i++)
- BN_clear_free(&(val[i]));
BN_RECP_CTX_free(&recp);
+ bn_check_top(r);
return(ret);
}
-int BN_mod_exp_mont(BIGNUM *rr, BIGNUM *a, const BIGNUM *p,
+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;
+ int start=1;
BIGNUM *d,*r;
- BIGNUM *aa;
- BIGNUM val[TABLE_SIZE];
+ const BIGNUM *aa;
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
BN_MONT_CTX *mont=NULL;
+ 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);
-#ifdef ATALLA
- if(!tried_atalla && BN_mod_exp_atalla(rr,a,p,m))
- return 1;
-/* If it fails, try the other methods */
-#endif
-
- if (!(m->d[0] & 1))
+ if (!BN_is_odd(m))
{
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);
+ ret = BN_one(rr);
+ return ret;
}
+
BN_CTX_start(ctx);
d = BN_CTX_get(ctx);
r = BN_CTX_get(ctx);
- if (d == NULL || r == NULL) goto err;
+ 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 (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
}
- BN_init(&val[0]);
- ts=1;
- if (BN_ucmp(a,m) >= 0)
+ if (a->neg || BN_ucmp(a,m) >= 0)
{
- if (!BN_mod(&(val[0]),a,m,ctx))
+ if (!BN_nnmod(val[0],a,m,ctx))
goto err;
- aa= &(val[0]);
+ aa= val[0];
}
else
aa=a;
- 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 >= 256)
- window=5; /* max size of window */
- else if (bits >= 128)
- window=4;
- else
- window=3;
+ if (BN_is_zero(aa))
+ {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
+ if (!BN_to_montgomery(val[0],aa,mont,ctx)) goto err; /* 1 */
- j=1<<(window-1);
- for (i=1; i<j; i++)
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
{
- BN_init(&(val[i]));
- 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;
+ }
}
- ts=i;
start=1; /* This is used to avoid multiplication etc
* when there is only the value '1' in the
}
/* wvalue will be an odd number < 2^window */
- if (!BN_mod_mul_montgomery(r,r,&(val[wvalue>>1]),mont,ctx))
+ if (!BN_mod_mul_montgomery(r,r,val[wvalue>>1],mont,ctx))
goto err;
/* move the 'window' down further */
start=0;
if (wstart < 0) break;
}
- BN_from_montgomery(rr,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);
- for (i=0; i<ts; i++)
- BN_clear_free(&(val[i]));
+ 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(BIGNUM *b, int top, unsigned char *buf, int idx, int width)
+ {
+ size_t i, j;
+
+ if (bn_wexpand(b, top) == NULL)
+ return 0;
+ while (b->top < top)
+ {
+ b->d[b->top++] = 0;
+ }
+
+ for (i = 0, j=idx; i < top * sizeof b->d[0]; i++, j+=width)
+ {
+ buf[j] = ((unsigned char*)b->d)[i];
+ }
+
+ bn_correct_top(b);
+ 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;
+ BIGNUM *r;
+ BN_MONT_CTX *mont=NULL;
+
+ int numPowers;
+ unsigned char *powerbufFree=NULL;
+ int powerbufLen = 0;
+ unsigned char *powerbuf=NULL;
+ BIGNUM computeTemp, *am=NULL;
+
+ 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;
+ }
+
+ /* Initialize BIGNUM context and allocate intermediate result */
+ BN_CTX_start(ctx);
+ r = BN_CTX_get(ctx);
+ if (r == NULL) goto err;
+
+ /* 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_MONT5)
+ if (window==6 && bits<=1024) window=5; /* ~5% improvement of 2048-bit RSA sign */
+#endif
+ /* Adjust the number of bits up to a multiple of the window size.
+ * If the exponent length is not a multiple of the window size, then
+ * this pads the most significant bits with zeros to normalize the
+ * scanning loop to there's no special cases.
+ *
+ * * NOTE: Making the window size a power of two less than the native
+ * * word size ensures that the padded bits won't go past the last
+ * * word in the internal BIGNUM structure. Going past the end will
+ * * still produce the correct result, but causes a different branch
+ * * to be taken in the BN_is_bit_set function.
+ */
+ bits = ((bits+window-1)/window)*window;
+
+ /* Allocate a buffer large enough to hold all of the pre-computed
+ * powers of a, plus computeTemp.
+ */
+ numPowers = 1 << window;
+ powerbufLen = sizeof(m->d[0])*(top*numPowers +
+ (top>numPowers?top:numPowers));
+ if (powerbufLen < 3072)
+ powerbufFree = alloca(powerbufLen+MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH);
+ else 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);
+
+ if (powerbufLen < 3072)
+ powerbufFree = NULL;
+
+ computeTemp.d = (BN_ULONG *)(powerbuf + sizeof(m->d[0])*top*numPowers);
+ computeTemp.top = computeTemp.dmax = top;
+ computeTemp.neg = 0;
+ computeTemp.flags = BN_FLG_STATIC_DATA;
+
+ /* Initialize the intermediate result. Do this early to save double conversion,
+ * once each for a^0 and intermediate result.
+ */
+ if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
+
+ /* Initialize computeTemp as a^1 with montgomery precalcs */
+ am = BN_CTX_get(ctx);
+ if (am==NULL) goto err;
+
+ 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 (!BN_copy(&computeTemp, am)) goto err;
+
+ if (bn_wexpand(am,top)==NULL || bn_wexpand(r,top)==NULL)
+ goto err;
+
+#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);
+
+ BN_ULONG *acc, *np=mont->N.d, *n0=mont->n0;
+
+ bn_scatter5(r->d,r->top,powerbuf,0);
+ bn_scatter5(am->d,am->top,powerbuf,1);
+
+ acc = computeTemp.d;
+#if 0
+ for (i=2; i<32; i++)
+ {
+ bn_mul_mont_gather5(acc,am->d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(acc,top,powerbuf,i);
+ }
+#else
+ /* same as above, but uses squaring for 1/2 of operations */
+ for (i=2; i<32; i*=2)
+ {
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_scatter5(acc,top,powerbuf,i);
+ }
+ for (i=3; i<8; i+=2)
+ {
+ int j;
+ bn_mul_mont_gather5(acc,am->d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(acc,top,powerbuf,i);
+ for (j=2*i; j<32; j*=2)
+ {
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_scatter5(acc,top,powerbuf,j);
+ }
+ }
+ for (; i<16; i+=2)
+ {
+ bn_mul_mont_gather5(acc,am->d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(acc,top,powerbuf,i);
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_scatter5(acc,top,powerbuf,2*i);
+ }
+ for (; i<32; i+=2)
+ {
+ bn_mul_mont_gather5(acc,am->d,powerbuf,np,n0,top,i-1);
+ bn_scatter5(acc,top,powerbuf,i);
+ }
+#endif
+ acc = r->d;
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ 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(acc,acc,acc,np,n0,top);
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_mul_mont(acc,acc,acc,np,n0,top);
+ bn_mul_mont_gather5(acc,acc,powerbuf,np,n0,top,wvalue);
+ }
+
+ r->top=top;
+ bn_correct_top(r);
+ }
+ else
+#endif
+ {
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(r, 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)
+ {
+ for (i=2; i<numPowers; i++)
+ {
+ /* Calculate a^i = a^(i-1) * a */
+ if (!BN_mod_mul_montgomery(&computeTemp,am,&computeTemp,mont,ctx))
+ goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&computeTemp, top, powerbuf, i, numPowers)) goto err;
+ }
+ }
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ 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(r,r,r,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(&computeTemp, top, powerbuf, wvalue, numPowers)) goto err;
+
+ /* Multiply the result into the intermediate result */
+ if (!BN_mod_mul_montgomery(r,r,&computeTemp,mont,ctx)) goto err;
+ }
+ }
+
+ /* Convert the final result from montgomery to standard format */
+ if (!BN_from_montgomery(rr,r,mont,ctx)) goto err;
+ ret=1;
+err:
+ if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+ if (powerbuf!=NULL)
+ {
+ OPENSSL_cleanse(powerbuf,powerbufLen);
+ if (powerbufFree) OPENSSL_free(powerbufFree);
+ }
+ if (am!=NULL) BN_clear(am);
+ BN_CTX_end(ctx);
return(ret);
}
{
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 ? \
- (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1)) : \
- 1))
+ (/* 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 (!(m->d[0] & 1))
+ 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)
{
- BN_one(rr);
- return(1);
+ 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;
-#ifdef ATALLA
- if (!tried_atalla)
- {
- BN_set_word(t, a);
- if (BN_mod_exp_word_atalla(rr, t, p, m))
- return 1;
- }
-/* If it fails, try the other methods */
-#endif
-
if (in_mont != NULL)
mont=in_mont;
else
if (!BN_MONT_CTX_set(mont, m, ctx)) goto err;
}
- if (!BN_to_montgomery(r, BN_value_one(), mont, ctx)) goto err;
+ r_is_one = 1; /* except for Montgomery factor */
/* bits-1 >= 0 */
next_w = w*w;
if ((next_w/w) != w) /* overflow */
{
- if (!BN_MOD_MUL_WORD(r, w, m))
- goto err;
+ 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 (!BN_mod_mul_montgomery(r, r, r, mont, ctx))
- goto err;
+ 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 (!BN_MOD_MUL_WORD(r, w, m))
- goto err;
+ 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 (!BN_MOD_MUL_WORD(r, w, m))
- goto err;
+ 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;
+ }
}
- BN_from_montgomery(rr, r, mont, ctx);
+ 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(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,ts=0;
+ int i,j,bits,ret=0,wstart,wend,window,wvalue;
int start=1;
BIGNUM *d;
- BIGNUM val[TABLE_SIZE];
+ /* 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;
+ }
bits=BN_num_bits(p);
if (bits == 0)
{
- BN_one(r);
- return(1);
+ ret = BN_one(r);
+ return ret;
}
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 */
- if (!BN_mod_mul(d,&(val[0]),&(val[0]),m,ctx))
- goto err; /* 2 */
-
- 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;
+ d = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!d || !val[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]))
{
- BN_init(&(val[i]));
- if (!BN_mod_mul(&(val[i]),&(val[i-1]),d,m,ctx))
- goto err;
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ 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++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !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
}
/* wvalue will be an odd number < 2^window */
- if (!BN_mod_mul(r,r,&(val[wvalue>>1]),m,ctx))
+ if (!BN_mod_mul(r,r,val[wvalue>>1],m,ctx))
goto err;
/* move the 'window' down further */
ret=1;
err:
BN_CTX_end(ctx);
- for (i=0; i<ts; i++)
- BN_clear_free(&(val[i]));
+ bn_check_top(r);
return(ret);
}
projects / openssl.git / blobdiff