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authorGary Ching-Pang Lin <glin@suse.com>2015-03-31 12:14:06 +0800
committerPeter Jones <pjones@redhat.com>2015-05-12 13:51:02 -0400
commit3285f5394161e2fde1045fd3f9753a625d03a1aa (patch)
treea3149decea22d31dfe81cc7054f55d65fc45f46a /Cryptlib/OpenSSL/crypto/bn
parentd7cbd4e3927ea272c709e3f0fd28d53fcc074c34 (diff)
downloadefi-boot-shim-3285f5394161e2fde1045fd3f9753a625d03a1aa.tar.gz
efi-boot-shim-3285f5394161e2fde1045fd3f9753a625d03a1aa.zip
Update Cryptlib and openssl
Update Cryptlib to r16559 and openssl to 0.9.8zf Signed-off-by: Gary Ching-Pang Lin <glin@suse.com>
Diffstat (limited to 'Cryptlib/OpenSSL/crypto/bn')
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_add.c430
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_asm.c1564
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_blind.c478
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_const.c807
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_ctx.c592
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_depr.c85
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_div.c1163
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_err.c152
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_exp.c1720
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_exp2.c365
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_gcd.c1119
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c2147
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_kron.c246
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_lib.c1351
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_mod.c353
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_mont.c1197
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_mpi.c130
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_mul.c2004
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_nist.c1437
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_opt.c39
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_prime.c745
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_print.c489
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_rand.c316
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_recp.c329
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_shift.c283
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_sqr.c369
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c678
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_word.c319
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_x931p.c334
29 files changed, 10955 insertions, 10286 deletions
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_add.c b/Cryptlib/OpenSSL/crypto/bn/bn_add.c
index 94051637..2f3d1104 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_add.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_add.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -62,252 +62,252 @@
/* r can == a or b */
int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
- {
- const BIGNUM *tmp;
- int a_neg = a->neg, ret;
+{
+ const BIGNUM *tmp;
+ int a_neg = a->neg, ret;
- bn_check_top(a);
- bn_check_top(b);
+ bn_check_top(a);
+ bn_check_top(b);
- /* a + b a+b
- * a + -b a-b
- * -a + b b-a
- * -a + -b -(a+b)
- */
- if (a_neg ^ b->neg)
- {
- /* only one is negative */
- if (a_neg)
- { tmp=a; a=b; b=tmp; }
+ /*-
+ * a + b a+b
+ * a + -b a-b
+ * -a + b b-a
+ * -a + -b -(a+b)
+ */
+ if (a_neg ^ b->neg) {
+ /* only one is negative */
+ if (a_neg) {
+ tmp = a;
+ a = b;
+ b = tmp;
+ }
- /* we are now a - b */
+ /* we are now a - b */
- if (BN_ucmp(a,b) < 0)
- {
- if (!BN_usub(r,b,a)) return(0);
- r->neg=1;
- }
- else
- {
- if (!BN_usub(r,a,b)) return(0);
- r->neg=0;
- }
- return(1);
- }
+ if (BN_ucmp(a, b) < 0) {
+ if (!BN_usub(r, b, a))
+ return (0);
+ r->neg = 1;
+ } else {
+ if (!BN_usub(r, a, b))
+ return (0);
+ r->neg = 0;
+ }
+ return (1);
+ }
- ret = BN_uadd(r,a,b);
- r->neg = a_neg;
- bn_check_top(r);
- return ret;
- }
+ ret = BN_uadd(r, a, b);
+ r->neg = a_neg;
+ bn_check_top(r);
+ return ret;
+}
/* unsigned add of b to a */
int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
- {
- int max,min,dif;
- BN_ULONG *ap,*bp,*rp,carry,t1,t2;
- const BIGNUM *tmp;
+{
+ int max, min, dif;
+ BN_ULONG *ap, *bp, *rp, carry, t1, t2;
+ const BIGNUM *tmp;
- bn_check_top(a);
- bn_check_top(b);
+ bn_check_top(a);
+ bn_check_top(b);
- if (a->top < b->top)
- { tmp=a; a=b; b=tmp; }
- max = a->top;
- min = b->top;
- dif = max - min;
+ if (a->top < b->top) {
+ tmp = a;
+ a = b;
+ b = tmp;
+ }
+ max = a->top;
+ min = b->top;
+ dif = max - min;
- if (bn_wexpand(r,max+1) == NULL)
- return 0;
+ if (bn_wexpand(r, max + 1) == NULL)
+ return 0;
- r->top=max;
+ r->top = max;
+ ap = a->d;
+ bp = b->d;
+ rp = r->d;
- ap=a->d;
- bp=b->d;
- rp=r->d;
+ carry = bn_add_words(rp, ap, bp, min);
+ rp += min;
+ ap += min;
+ bp += min;
- carry=bn_add_words(rp,ap,bp,min);
- rp+=min;
- ap+=min;
- bp+=min;
-
- if (carry)
- {
- while (dif)
- {
- dif--;
- t1 = *(ap++);
- t2 = (t1+1) & BN_MASK2;
- *(rp++) = t2;
- if (t2)
- {
- carry=0;
- break;
- }
- }
- if (carry)
- {
- /* carry != 0 => dif == 0 */
- *rp = 1;
- r->top++;
- }
- }
- if (dif && rp != ap)
- while (dif--)
- /* copy remaining words if ap != rp */
- *(rp++) = *(ap++);
- r->neg = 0;
- bn_check_top(r);
- return 1;
- }
+ if (carry) {
+ while (dif) {
+ dif--;
+ t1 = *(ap++);
+ t2 = (t1 + 1) & BN_MASK2;
+ *(rp++) = t2;
+ if (t2) {
+ carry = 0;
+ break;
+ }
+ }
+ if (carry) {
+ /* carry != 0 => dif == 0 */
+ *rp = 1;
+ r->top++;
+ }
+ }
+ if (dif && rp != ap)
+ while (dif--)
+ /* copy remaining words if ap != rp */
+ *(rp++) = *(ap++);
+ r->neg = 0;
+ bn_check_top(r);
+ return 1;
+}
/* unsigned subtraction of b from a, a must be larger than b. */
int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
- {
- int max,min,dif;
- register BN_ULONG t1,t2,*ap,*bp,*rp;
- int i,carry;
+{
+ int max, min, dif;
+ register BN_ULONG t1, t2, *ap, *bp, *rp;
+ int i, carry;
#if defined(IRIX_CC_BUG) && !defined(LINT)
- int dummy;
+ int dummy;
#endif
- bn_check_top(a);
- bn_check_top(b);
+ bn_check_top(a);
+ bn_check_top(b);
- max = a->top;
- min = b->top;
- dif = max - min;
+ max = a->top;
+ min = b->top;
+ dif = max - min;
- if (dif < 0) /* hmm... should not be happening */
- {
- BNerr(BN_F_BN_USUB,BN_R_ARG2_LT_ARG3);
- return(0);
- }
+ if (dif < 0) { /* hmm... should not be happening */
+ BNerr(BN_F_BN_USUB, BN_R_ARG2_LT_ARG3);
+ return (0);
+ }
- if (bn_wexpand(r,max) == NULL) return(0);
+ if (bn_wexpand(r, max) == NULL)
+ return (0);
- ap=a->d;
- bp=b->d;
- rp=r->d;
+ ap = a->d;
+ bp = b->d;
+ rp = r->d;
#if 1
- carry=0;
- for (i = min; i != 0; i--)
- {
- t1= *(ap++);
- t2= *(bp++);
- if (carry)
- {
- carry=(t1 <= t2);
- t1=(t1-t2-1)&BN_MASK2;
- }
- else
- {
- carry=(t1 < t2);
- t1=(t1-t2)&BN_MASK2;
- }
-#if defined(IRIX_CC_BUG) && !defined(LINT)
- dummy=t1;
-#endif
- *(rp++)=t1&BN_MASK2;
- }
+ carry = 0;
+ for (i = min; i != 0; i--) {
+ t1 = *(ap++);
+ t2 = *(bp++);
+ if (carry) {
+ carry = (t1 <= t2);
+ t1 = (t1 - t2 - 1) & BN_MASK2;
+ } else {
+ carry = (t1 < t2);
+ t1 = (t1 - t2) & BN_MASK2;
+ }
+# if defined(IRIX_CC_BUG) && !defined(LINT)
+ dummy = t1;
+# endif
+ *(rp++) = t1 & BN_MASK2;
+ }
#else
- carry=bn_sub_words(rp,ap,bp,min);
- ap+=min;
- bp+=min;
- rp+=min;
+ carry = bn_sub_words(rp, ap, bp, min);
+ ap += min;
+ bp += min;
+ rp += min;
#endif
- if (carry) /* subtracted */
- {
- if (!dif)
- /* error: a < b */
- return 0;
- while (dif)
- {
- dif--;
- t1 = *(ap++);
- t2 = (t1-1)&BN_MASK2;
- *(rp++) = t2;
- if (t1)
- break;
- }
- }
+ if (carry) { /* subtracted */
+ if (!dif)
+ /* error: a < b */
+ return 0;
+ while (dif) {
+ dif--;
+ t1 = *(ap++);
+ t2 = (t1 - 1) & BN_MASK2;
+ *(rp++) = t2;
+ if (t1)
+ break;
+ }
+ }
#if 0
- memcpy(rp,ap,sizeof(*rp)*(max-i));
+ memcpy(rp, ap, sizeof(*rp) * (max - i));
#else
- if (rp != ap)
- {
- for (;;)
- {
- if (!dif--) break;
- rp[0]=ap[0];
- if (!dif--) break;
- rp[1]=ap[1];
- if (!dif--) break;
- rp[2]=ap[2];
- if (!dif--) break;
- rp[3]=ap[3];
- rp+=4;
- ap+=4;
- }
- }
+ if (rp != ap) {
+ for (;;) {
+ if (!dif--)
+ break;
+ rp[0] = ap[0];
+ if (!dif--)
+ break;
+ rp[1] = ap[1];
+ if (!dif--)
+ break;
+ rp[2] = ap[2];
+ if (!dif--)
+ break;
+ rp[3] = ap[3];
+ rp += 4;
+ ap += 4;
+ }
+ }
#endif
- r->top=max;
- r->neg=0;
- bn_correct_top(r);
- return(1);
- }
+ r->top = max;
+ r->neg = 0;
+ bn_correct_top(r);
+ return (1);
+}
int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
- {
- int max;
- int add=0,neg=0;
- const BIGNUM *tmp;
-
- bn_check_top(a);
- bn_check_top(b);
+{
+ int max;
+ int add = 0, neg = 0;
+ const BIGNUM *tmp;
- /* a - b a-b
- * a - -b a+b
- * -a - b -(a+b)
- * -a - -b b-a
- */
- if (a->neg)
- {
- if (b->neg)
- { tmp=a; a=b; b=tmp; }
- else
- { add=1; neg=1; }
- }
- else
- {
- if (b->neg) { add=1; neg=0; }
- }
+ bn_check_top(a);
+ bn_check_top(b);
- if (add)
- {
- if (!BN_uadd(r,a,b)) return(0);
- r->neg=neg;
- return(1);
- }
+ /*-
+ * a - b a-b
+ * a - -b a+b
+ * -a - b -(a+b)
+ * -a - -b b-a
+ */
+ if (a->neg) {
+ if (b->neg) {
+ tmp = a;
+ a = b;
+ b = tmp;
+ } else {
+ add = 1;
+ neg = 1;
+ }
+ } else {
+ if (b->neg) {
+ add = 1;
+ neg = 0;
+ }
+ }
- /* We are actually doing a - b :-) */
+ if (add) {
+ if (!BN_uadd(r, a, b))
+ return (0);
+ r->neg = neg;
+ return (1);
+ }
- max=(a->top > b->top)?a->top:b->top;
- if (bn_wexpand(r,max) == NULL) return(0);
- if (BN_ucmp(a,b) < 0)
- {
- if (!BN_usub(r,b,a)) return(0);
- r->neg=1;
- }
- else
- {
- if (!BN_usub(r,a,b)) return(0);
- r->neg=0;
- }
- bn_check_top(r);
- return(1);
- }
+ /* We are actually doing a - b :-) */
+ max = (a->top > b->top) ? a->top : b->top;
+ if (bn_wexpand(r, max) == NULL)
+ return (0);
+ if (BN_ucmp(a, b) < 0) {
+ if (!BN_usub(r, b, a))
+ return (0);
+ r->neg = 1;
+ } else {
+ if (!BN_usub(r, a, b))
+ return (0);
+ r->neg = 0;
+ }
+ bn_check_top(r);
+ return (1);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_asm.c b/Cryptlib/OpenSSL/crypto/bn/bn_asm.c
index 99bc2de4..92e9539c 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_asm.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_asm.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -57,7 +57,7 @@
*/
#ifndef BN_DEBUG
-# undef NDEBUG /* avoid conflicting definitions */
+# undef NDEBUG /* avoid conflicting definitions */
# define NDEBUG
#endif
@@ -68,793 +68,853 @@
#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- assert(num >= 0);
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul_add(rp[0],ap[0],w,c1);
- mul_add(rp[1],ap[1],w,c1);
- mul_add(rp[2],ap[2],w,c1);
- mul_add(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
- mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
- mul_add(rp[2],ap[2],w,c1); return c1;
- }
-
- return(c1);
- }
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w)
+{
+ BN_ULONG c1 = 0;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return (c1);
+
+ while (num & ~3) {
+ mul_add(rp[0], ap[0], w, c1);
+ mul_add(rp[1], ap[1], w, c1);
+ mul_add(rp[2], ap[2], w, c1);
+ mul_add(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul_add(rp[0], ap[0], w, c1);
+ if (--num == 0)
+ return c1;
+ mul_add(rp[1], ap[1], w, c1);
+ if (--num == 0)
+ return c1;
+ mul_add(rp[2], ap[2], w, c1);
+ return c1;
+ }
+
+ return (c1);
+}
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- assert(num >= 0);
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul(rp[0],ap[0],w,c1);
- mul(rp[1],ap[1],w,c1);
- mul(rp[2],ap[2],w,c1);
- mul(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
- mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
- mul(rp[2],ap[2],w,c1);
- }
- return(c1);
- }
+{
+ BN_ULONG c1 = 0;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return (c1);
+
+ while (num & ~3) {
+ mul(rp[0], ap[0], w, c1);
+ mul(rp[1], ap[1], w, c1);
+ mul(rp[2], ap[2], w, c1);
+ mul(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+ if (num) {
+ mul(rp[0], ap[0], w, c1);
+ if (--num == 0)
+ return c1;
+ mul(rp[1], ap[1], w, c1);
+ if (--num == 0)
+ return c1;
+ mul(rp[2], ap[2], w, c1);
+ }
+ return (c1);
+}
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
- {
- assert(n >= 0);
- if (n <= 0) return;
- while (n&~3)
- {
- sqr(r[0],r[1],a[0]);
- sqr(r[2],r[3],a[1]);
- sqr(r[4],r[5],a[2]);
- sqr(r[6],r[7],a[3]);
- a+=4; r+=8; n-=4;
- }
- if (n)
- {
- sqr(r[0],r[1],a[0]); if (--n == 0) return;
- sqr(r[2],r[3],a[1]); if (--n == 0) return;
- sqr(r[4],r[5],a[2]);
- }
- }
-
-#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c=0;
- BN_ULONG bl,bh;
-
- assert(num >= 0);
- if (num <= 0) return((BN_ULONG)0);
-
- bl=LBITS(w);
- bh=HBITS(w);
-
- for (;;)
- {
- mul_add(rp[0],ap[0],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[1],ap[1],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[2],ap[2],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[3],ap[3],bl,bh,c);
- if (--num == 0) break;
- ap+=4;
- rp+=4;
- }
- return(c);
- }
+{
+ assert(n >= 0);
+ if (n <= 0)
+ return;
+ while (n & ~3) {
+ sqr(r[0], r[1], a[0]);
+ sqr(r[2], r[3], a[1]);
+ sqr(r[4], r[5], a[2]);
+ sqr(r[6], r[7], a[3]);
+ a += 4;
+ r += 8;
+ n -= 4;
+ }
+ if (n) {
+ sqr(r[0], r[1], a[0]);
+ if (--n == 0)
+ return;
+ sqr(r[2], r[3], a[1]);
+ if (--n == 0)
+ return;
+ sqr(r[4], r[5], a[2]);
+ }
+}
+
+#else /* !(defined(BN_LLONG) ||
+ * defined(BN_UMULT_HIGH)) */
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w)
+{
+ BN_ULONG c = 0;
+ BN_ULONG bl, bh;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return ((BN_ULONG)0);
+
+ bl = LBITS(w);
+ bh = HBITS(w);
+
+ for (;;) {
+ mul_add(rp[0], ap[0], bl, bh, c);
+ if (--num == 0)
+ break;
+ mul_add(rp[1], ap[1], bl, bh, c);
+ if (--num == 0)
+ break;
+ mul_add(rp[2], ap[2], bl, bh, c);
+ if (--num == 0)
+ break;
+ mul_add(rp[3], ap[3], bl, bh, c);
+ if (--num == 0)
+ break;
+ ap += 4;
+ rp += 4;
+ }
+ return (c);
+}
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG carry=0;
- BN_ULONG bl,bh;
-
- assert(num >= 0);
- if (num <= 0) return((BN_ULONG)0);
-
- bl=LBITS(w);
- bh=HBITS(w);
-
- for (;;)
- {
- mul(rp[0],ap[0],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[1],ap[1],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[2],ap[2],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[3],ap[3],bl,bh,carry);
- if (--num == 0) break;
- ap+=4;
- rp+=4;
- }
- return(carry);
- }
+{
+ BN_ULONG carry = 0;
+ BN_ULONG bl, bh;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return ((BN_ULONG)0);
+
+ bl = LBITS(w);
+ bh = HBITS(w);
+
+ for (;;) {
+ mul(rp[0], ap[0], bl, bh, carry);
+ if (--num == 0)
+ break;
+ mul(rp[1], ap[1], bl, bh, carry);
+ if (--num == 0)
+ break;
+ mul(rp[2], ap[2], bl, bh, carry);
+ if (--num == 0)
+ break;
+ mul(rp[3], ap[3], bl, bh, carry);
+ if (--num == 0)
+ break;
+ ap += 4;
+ rp += 4;
+ }
+ return (carry);
+}
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
- {
- assert(n >= 0);
- if (n <= 0) return;
- for (;;)
- {
- sqr64(r[0],r[1],a[0]);
- if (--n == 0) break;
-
- sqr64(r[2],r[3],a[1]);
- if (--n == 0) break;
-
- sqr64(r[4],r[5],a[2]);
- if (--n == 0) break;
-
- sqr64(r[6],r[7],a[3]);
- if (--n == 0) break;
-
- a+=4;
- r+=8;
- }
- }
-
-#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
+{
+ assert(n >= 0);
+ if (n <= 0)
+ return;
+ for (;;) {
+ sqr64(r[0], r[1], a[0]);
+ if (--n == 0)
+ break;
+
+ sqr64(r[2], r[3], a[1]);
+ if (--n == 0)
+ break;
+
+ sqr64(r[4], r[5], a[2]);
+ if (--n == 0)
+ break;
+
+ sqr64(r[6], r[7], a[3]);
+ if (--n == 0)
+ break;
+
+ a += 4;
+ r += 8;
+ }
+}
+
+#endif /* !(defined(BN_LLONG) ||
+ * defined(BN_UMULT_HIGH)) */
#if defined(BN_LLONG) && defined(BN_DIV2W)
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
- {
- return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
- }
+{
+ return ((BN_ULONG)(((((BN_ULLONG) h) << BN_BITS2) | l) / (BN_ULLONG) d));
+}
#else
/* Divide h,l by d and return the result. */
/* I need to test this some more :-( */
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
- {
- BN_ULONG dh,dl,q,ret=0,th,tl,t;
- int i,count=2;
-
- if (d == 0) return(BN_MASK2);
-
- i=BN_num_bits_word(d);
- assert((i == BN_BITS2) || (h <= (BN_ULONG)1<<i));
-
- i=BN_BITS2-i;
- if (h >= d) h-=d;
-
- if (i)
- {
- d<<=i;
- h=(h<<i)|(l>>(BN_BITS2-i));
- l<<=i;
- }
- dh=(d&BN_MASK2h)>>BN_BITS4;
- dl=(d&BN_MASK2l);
- for (;;)
- {
- if ((h>>BN_BITS4) == dh)
- q=BN_MASK2l;
- else
- q=h/dh;
-
- th=q*dh;
- tl=dl*q;
- for (;;)
- {
- t=h-th;
- if ((t&BN_MASK2h) ||
- ((tl) <= (
- (t<<BN_BITS4)|
- ((l&BN_MASK2h)>>BN_BITS4))))
- break;
- q--;
- th-=dh;
- tl-=dl;
- }
- t=(tl>>BN_BITS4);
- tl=(tl<<BN_BITS4)&BN_MASK2h;
- th+=t;
-
- if (l < tl) th++;
- l-=tl;
- if (h < th)
- {
- h+=d;
- q--;
- }
- h-=th;
-
- if (--count == 0) break;
-
- ret=q<<BN_BITS4;
- h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
- l=(l&BN_MASK2l)<<BN_BITS4;
- }
- ret|=q;
- return(ret);
- }
-#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
+{
+ BN_ULONG dh, dl, q, ret = 0, th, tl, t;
+ int i, count = 2;
+
+ if (d == 0)
+ return (BN_MASK2);
+
+ i = BN_num_bits_word(d);
+ assert((i == BN_BITS2) || (h <= (BN_ULONG)1 << i));
+
+ i = BN_BITS2 - i;
+ if (h >= d)
+ h -= d;
+
+ if (i) {
+ d <<= i;
+ h = (h << i) | (l >> (BN_BITS2 - i));
+ l <<= i;
+ }
+ dh = (d & BN_MASK2h) >> BN_BITS4;
+ dl = (d & BN_MASK2l);
+ for (;;) {
+ if ((h >> BN_BITS4) == dh)
+ q = BN_MASK2l;
+ else
+ q = h / dh;
+
+ th = q * dh;
+ tl = dl * q;
+ for (;;) {
+ t = h - th;
+ if ((t & BN_MASK2h) ||
+ ((tl) <= ((t << BN_BITS4) | ((l & BN_MASK2h) >> BN_BITS4))))
+ break;
+ q--;
+ th -= dh;
+ tl -= dl;
+ }
+ t = (tl >> BN_BITS4);
+ tl = (tl << BN_BITS4) & BN_MASK2h;
+ th += t;
+
+ if (l < tl)
+ th++;
+ l -= tl;
+ if (h < th) {
+ h += d;
+ q--;
+ }
+ h -= th;
+
+ if (--count == 0)
+ break;
+
+ ret = q << BN_BITS4;
+ h = ((h << BN_BITS4) | (l >> BN_BITS4)) & BN_MASK2;
+ l = (l & BN_MASK2l) << BN_BITS4;
+ }
+ ret |= q;
+ return (ret);
+}
+#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
#ifdef BN_LLONG
-BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULLONG ll=0;
-
- assert(n >= 0);
- if (n <= 0) return((BN_ULONG)0);
-
- for (;;)
- {
- ll+=(BN_ULLONG)a[0]+b[0];
- r[0]=(BN_ULONG)ll&BN_MASK2;
- ll>>=BN_BITS2;
- if (--n <= 0) break;
-
- ll+=(BN_ULLONG)a[1]+b[1];
- r[1]=(BN_ULONG)ll&BN_MASK2;
- ll>>=BN_BITS2;
- if (--n <= 0) break;
-
- ll+=(BN_ULLONG)a[2]+b[2];
- r[2]=(BN_ULONG)ll&BN_MASK2;
- ll>>=BN_BITS2;
- if (--n <= 0) break;
-
- ll+=(BN_ULLONG)a[3]+b[3];
- r[3]=(BN_ULONG)ll&BN_MASK2;
- ll>>=BN_BITS2;
- if (--n <= 0) break;
-
- a+=4;
- b+=4;
- r+=4;
- }
- return((BN_ULONG)ll);
- }
-#else /* !BN_LLONG */
-BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULONG c,l,t;
-
- assert(n >= 0);
- if (n <= 0) return((BN_ULONG)0);
-
- c=0;
- for (;;)
- {
- t=a[0];
- t=(t+c)&BN_MASK2;
- c=(t < c);
- l=(t+b[0])&BN_MASK2;
- c+=(l < t);
- r[0]=l;
- if (--n <= 0) break;
-
- t=a[1];
- t=(t+c)&BN_MASK2;
- c=(t < c);
- l=(t+b[1])&BN_MASK2;
- c+=(l < t);
- r[1]=l;
- if (--n <= 0) break;
-
- t=a[2];
- t=(t+c)&BN_MASK2;
- c=(t < c);
- l=(t+b[2])&BN_MASK2;
- c+=(l < t);
- r[2]=l;
- if (--n <= 0) break;
-
- t=a[3];
- t=(t+c)&BN_MASK2;
- c=(t < c);
- l=(t+b[3])&BN_MASK2;
- c+=(l < t);
- r[3]=l;
- if (--n <= 0) break;
-
- a+=4;
- b+=4;
- r+=4;
- }
- return((BN_ULONG)c);
- }
-#endif /* !BN_LLONG */
-
-BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULONG t1,t2;
- int c=0;
-
- assert(n >= 0);
- if (n <= 0) return((BN_ULONG)0);
-
- for (;;)
- {
- t1=a[0]; t2=b[0];
- r[0]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[1]; t2=b[1];
- r[1]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[2]; t2=b[2];
- r[2]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- t1=a[3]; t2=b[3];
- r[3]=(t1-t2-c)&BN_MASK2;
- if (t1 != t2) c=(t1 < t2);
- if (--n <= 0) break;
-
- a+=4;
- b+=4;
- r+=4;
- }
- return(c);
- }
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULLONG ll = 0;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+ for (;;) {
+ ll += (BN_ULLONG) a[0] + b[0];
+ r[0] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ if (--n <= 0)
+ break;
+
+ ll += (BN_ULLONG) a[1] + b[1];
+ r[1] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ if (--n <= 0)
+ break;
+
+ ll += (BN_ULLONG) a[2] + b[2];
+ r[2] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ if (--n <= 0)
+ break;
+
+ ll += (BN_ULLONG) a[3] + b[3];
+ r[3] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ if (--n <= 0)
+ break;
+
+ a += 4;
+ b += 4;
+ r += 4;
+ }
+ return ((BN_ULONG)ll);
+}
+#else /* !BN_LLONG */
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULONG c, l, t;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+ c = 0;
+ for (;;) {
+ t = a[0];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[0]) & BN_MASK2;
+ c += (l < t);
+ r[0] = l;
+ if (--n <= 0)
+ break;
+
+ t = a[1];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[1]) & BN_MASK2;
+ c += (l < t);
+ r[1] = l;
+ if (--n <= 0)
+ break;
+
+ t = a[2];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[2]) & BN_MASK2;
+ c += (l < t);
+ r[2] = l;
+ if (--n <= 0)
+ break;
+
+ t = a[3];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[3]) & BN_MASK2;
+ c += (l < t);
+ r[3] = l;
+ if (--n <= 0)
+ break;
+
+ a += 4;
+ b += 4;
+ r += 4;
+ }
+ return ((BN_ULONG)c);
+}
+#endif /* !BN_LLONG */
+
+BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULONG t1, t2;
+ int c = 0;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+ for (;;) {
+ t1 = a[0];
+ t2 = b[0];
+ r[0] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[1];
+ t2 = b[1];
+ r[1] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[2];
+ t2 = b[2];
+ r[2] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ t1 = a[3];
+ t2 = b[3];
+ r[3] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ if (--n <= 0)
+ break;
+
+ a += 4;
+ b += 4;
+ r += 4;
+ }
+ return (c);
+}
#ifdef BN_MUL_COMBA
-#undef bn_mul_comba8
-#undef bn_mul_comba4
-#undef bn_sqr_comba8
-#undef bn_sqr_comba4
+# undef bn_mul_comba8
+# undef bn_mul_comba4
+# undef bn_sqr_comba8
+# undef bn_sqr_comba4
/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
-/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
+/*
+ * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
+ * c=(c2,c1,c0)
+ */
-#ifdef BN_LLONG
-#define mul_add_c(a,b,c0,c1,c2) \
- t=(BN_ULLONG)a*b; \
- t1=(BN_ULONG)Lw(t); \
- t2=(BN_ULONG)Hw(t); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define mul_add_c2(a,b,c0,c1,c2) \
- t=(BN_ULLONG)a*b; \
- tt=(t+t)&BN_MASK; \
- if (tt < t) c2++; \
- t1=(BN_ULONG)Lw(tt); \
- t2=(BN_ULONG)Hw(tt); \
- c0=(c0+t1)&BN_MASK2; \
- if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c(a,i,c0,c1,c2) \
- t=(BN_ULLONG)a[i]*a[i]; \
- t1=(BN_ULONG)Lw(t); \
- t2=(BN_ULONG)Hw(t); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c2(a,i,j,c0,c1,c2) \
- mul_add_c2((a)[i],(a)[j],c0,c1,c2)
-
-#elif defined(BN_UMULT_LOHI)
-
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- BN_UMULT_LOHI(t1,t2,ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- BN_UMULT_LOHI(t0,t1,ta,tb); \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c(a,i,c0,c1,c2) { \
- BN_ULONG ta=(a)[i]; \
- BN_UMULT_LOHI(t1,t2,ta,ta); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c2(a,i,j,c0,c1,c2) \
- mul_add_c2((a)[i],(a)[j],c0,c1,c2)
-
-#elif defined(BN_UMULT_HIGH)
-
-#define mul_add_c(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b); \
- t1 = ta * tb; \
- t2 = BN_UMULT_HIGH(ta,tb); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define mul_add_c2(a,b,c0,c1,c2) { \
- BN_ULONG ta=(a),tb=(b),t0; \
- t1 = BN_UMULT_HIGH(ta,tb); \
- t0 = ta * tb; \
- t2 = t1+t1; c2 += (t2<t1)?1:0; \
- t1 = t0+t0; t2 += (t1<t0)?1:0; \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c(a,i,c0,c1,c2) { \
- BN_ULONG ta=(a)[i]; \
- t1 = ta * ta; \
- t2 = BN_UMULT_HIGH(ta,ta); \
- c0 += t1; t2 += (c0<t1)?1:0; \
- c1 += t2; c2 += (c1<t2)?1:0; \
- }
-
-#define sqr_add_c2(a,i,j,c0,c1,c2) \
- mul_add_c2((a)[i],(a)[j],c0,c1,c2)
-
-#else /* !BN_LLONG */
-#define mul_add_c(a,b,c0,c1,c2) \
- t1=LBITS(a); t2=HBITS(a); \
- bl=LBITS(b); bh=HBITS(b); \
- mul64(t1,t2,bl,bh); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define mul_add_c2(a,b,c0,c1,c2) \
- t1=LBITS(a); t2=HBITS(a); \
- bl=LBITS(b); bh=HBITS(b); \
- mul64(t1,t2,bl,bh); \
- if (t2 & BN_TBIT) c2++; \
- t2=(t2+t2)&BN_MASK2; \
- if (t1 & BN_TBIT) t2++; \
- t1=(t1+t1)&BN_MASK2; \
- c0=(c0+t1)&BN_MASK2; \
- if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c(a,i,c0,c1,c2) \
- sqr64(t1,t2,(a)[i]); \
- c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
- c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
-
-#define sqr_add_c2(a,i,j,c0,c1,c2) \
- mul_add_c2((a)[i],(a)[j],c0,c1,c2)
-#endif /* !BN_LLONG */
+/*
+ * Keep in mind that carrying into high part of multiplication result
+ * can not overflow, because it cannot be all-ones.
+ */
+# ifdef BN_LLONG
+# define mul_add_c(a,b,c0,c1,c2) \
+ t=(BN_ULLONG)a*b; \
+ t1=(BN_ULONG)Lw(t); \
+ t2=(BN_ULONG)Hw(t); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define mul_add_c2(a,b,c0,c1,c2) \
+ t=(BN_ULLONG)a*b; \
+ tt=(t+t)&BN_MASK; \
+ if (tt < t) c2++; \
+ t1=(BN_ULONG)Lw(tt); \
+ t2=(BN_ULONG)Hw(tt); \
+ c0=(c0+t1)&BN_MASK2; \
+ if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define sqr_add_c(a,i,c0,c1,c2) \
+ t=(BN_ULLONG)a[i]*a[i]; \
+ t1=(BN_ULONG)Lw(t); \
+ t2=(BN_ULONG)Hw(t); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# elif defined(BN_UMULT_LOHI)
+
+# define mul_add_c(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b); \
+ BN_UMULT_LOHI(t1,t2,ta,tb); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+# define mul_add_c2(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b),t0; \
+ BN_UMULT_LOHI(t0,t1,ta,tb); \
+ c0 += t0; t2 = t1+((c0<t0)?1:0);\
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ c0 += t0; t1 += (c0<t0)?1:0; \
+ c1 += t1; c2 += (c1<t1)?1:0; \
+ }
+
+# define sqr_add_c(a,i,c0,c1,c2) { \
+ BN_ULONG ta=(a)[i]; \
+ BN_UMULT_LOHI(t1,t2,ta,ta); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# elif defined(BN_UMULT_HIGH)
+
+# define mul_add_c(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b); \
+ t1 = ta * tb; \
+ t2 = BN_UMULT_HIGH(ta,tb); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+# define mul_add_c2(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b),t0; \
+ t1 = BN_UMULT_HIGH(ta,tb); \
+ t0 = ta * tb; \
+ c0 += t0; t2 = t1+((c0<t0)?1:0);\
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ c0 += t0; t1 += (c0<t0)?1:0; \
+ c1 += t1; c2 += (c1<t1)?1:0; \
+ }
+
+# define sqr_add_c(a,i,c0,c1,c2) { \
+ BN_ULONG ta=(a)[i]; \
+ t1 = ta * ta; \
+ t2 = BN_UMULT_HIGH(ta,ta); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# else /* !BN_LLONG */
+# define mul_add_c(a,b,c0,c1,c2) \
+ t1=LBITS(a); t2=HBITS(a); \
+ bl=LBITS(b); bh=HBITS(b); \
+ mul64(t1,t2,bl,bh); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define mul_add_c2(a,b,c0,c1,c2) \
+ t1=LBITS(a); t2=HBITS(a); \
+ bl=LBITS(b); bh=HBITS(b); \
+ mul64(t1,t2,bl,bh); \
+ if (t2 & BN_TBIT) c2++; \
+ t2=(t2+t2)&BN_MASK2; \
+ if (t1 & BN_TBIT) t2++; \
+ t1=(t1+t1)&BN_MASK2; \
+ c0=(c0+t1)&BN_MASK2; \
+ if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define sqr_add_c(a,i,c0,c1,c2) \
+ sqr64(t1,t2,(a)[i]); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+# endif /* !BN_LLONG */
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
-#ifdef BN_LLONG
- BN_ULLONG t;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- mul_add_c(a[0],b[0],c1,c2,c3);
- r[0]=c1;
- c1=0;
- mul_add_c(a[0],b[1],c2,c3,c1);
- mul_add_c(a[1],b[0],c2,c3,c1);
- r[1]=c2;
- c2=0;
- mul_add_c(a[2],b[0],c3,c1,c2);
- mul_add_c(a[1],b[1],c3,c1,c2);
- mul_add_c(a[0],b[2],c3,c1,c2);
- r[2]=c3;
- c3=0;
- mul_add_c(a[0],b[3],c1,c2,c3);
- mul_add_c(a[1],b[2],c1,c2,c3);
- mul_add_c(a[2],b[1],c1,c2,c3);
- mul_add_c(a[3],b[0],c1,c2,c3);
- r[3]=c1;
- c1=0;
- mul_add_c(a[4],b[0],c2,c3,c1);
- mul_add_c(a[3],b[1],c2,c3,c1);
- mul_add_c(a[2],b[2],c2,c3,c1);
- mul_add_c(a[1],b[3],c2,c3,c1);
- mul_add_c(a[0],b[4],c2,c3,c1);
- r[4]=c2;
- c2=0;
- mul_add_c(a[0],b[5],c3,c1,c2);
- mul_add_c(a[1],b[4],c3,c1,c2);
- mul_add_c(a[2],b[3],c3,c1,c2);
- mul_add_c(a[3],b[2],c3,c1,c2);
- mul_add_c(a[4],b[1],c3,c1,c2);
- mul_add_c(a[5],b[0],c3,c1,c2);
- r[5]=c3;
- c3=0;
- mul_add_c(a[6],b[0],c1,c2,c3);
- mul_add_c(a[5],b[1],c1,c2,c3);
- mul_add_c(a[4],b[2],c1,c2,c3);
- mul_add_c(a[3],b[3],c1,c2,c3);
- mul_add_c(a[2],b[4],c1,c2,c3);
- mul_add_c(a[1],b[5],c1,c2,c3);
- mul_add_c(a[0],b[6],c1,c2,c3);
- r[6]=c1;
- c1=0;
- mul_add_c(a[0],b[7],c2,c3,c1);
- mul_add_c(a[1],b[6],c2,c3,c1);
- mul_add_c(a[2],b[5],c2,c3,c1);
- mul_add_c(a[3],b[4],c2,c3,c1);
- mul_add_c(a[4],b[3],c2,c3,c1);
- mul_add_c(a[5],b[2],c2,c3,c1);
- mul_add_c(a[6],b[1],c2,c3,c1);
- mul_add_c(a[7],b[0],c2,c3,c1);
- r[7]=c2;
- c2=0;
- mul_add_c(a[7],b[1],c3,c1,c2);
- mul_add_c(a[6],b[2],c3,c1,c2);
- mul_add_c(a[5],b[3],c3,c1,c2);
- mul_add_c(a[4],b[4],c3,c1,c2);
- mul_add_c(a[3],b[5],c3,c1,c2);
- mul_add_c(a[2],b[6],c3,c1,c2);
- mul_add_c(a[1],b[7],c3,c1,c2);
- r[8]=c3;
- c3=0;
- mul_add_c(a[2],b[7],c1,c2,c3);
- mul_add_c(a[3],b[6],c1,c2,c3);
- mul_add_c(a[4],b[5],c1,c2,c3);
- mul_add_c(a[5],b[4],c1,c2,c3);
- mul_add_c(a[6],b[3],c1,c2,c3);
- mul_add_c(a[7],b[2],c1,c2,c3);
- r[9]=c1;
- c1=0;
- mul_add_c(a[7],b[3],c2,c3,c1);
- mul_add_c(a[6],b[4],c2,c3,c1);
- mul_add_c(a[5],b[5],c2,c3,c1);
- mul_add_c(a[4],b[6],c2,c3,c1);
- mul_add_c(a[3],b[7],c2,c3,c1);
- r[10]=c2;
- c2=0;
- mul_add_c(a[4],b[7],c3,c1,c2);
- mul_add_c(a[5],b[6],c3,c1,c2);
- mul_add_c(a[6],b[5],c3,c1,c2);
- mul_add_c(a[7],b[4],c3,c1,c2);
- r[11]=c3;
- c3=0;
- mul_add_c(a[7],b[5],c1,c2,c3);
- mul_add_c(a[6],b[6],c1,c2,c3);
- mul_add_c(a[5],b[7],c1,c2,c3);
- r[12]=c1;
- c1=0;
- mul_add_c(a[6],b[7],c2,c3,c1);
- mul_add_c(a[7],b[6],c2,c3,c1);
- r[13]=c2;
- c2=0;
- mul_add_c(a[7],b[7],c3,c1,c2);
- r[14]=c3;
- r[15]=c1;
- }
+{
+# ifdef BN_LLONG
+ BN_ULLONG t;
+# else
+ BN_ULONG bl, bh;
+# endif
+ BN_ULONG t1, t2;
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[4], b[0], c2, c3, c1);
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ mul_add_c(a[0], b[4], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[0], b[5], c3, c1, c2);
+ mul_add_c(a[1], b[4], c3, c1, c2);
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ mul_add_c(a[4], b[1], c3, c1, c2);
+ mul_add_c(a[5], b[0], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[6], b[0], c1, c2, c3);
+ mul_add_c(a[5], b[1], c1, c2, c3);
+ mul_add_c(a[4], b[2], c1, c2, c3);
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ mul_add_c(a[2], b[4], c1, c2, c3);
+ mul_add_c(a[1], b[5], c1, c2, c3);
+ mul_add_c(a[0], b[6], c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[7], c2, c3, c1);
+ mul_add_c(a[1], b[6], c2, c3, c1);
+ mul_add_c(a[2], b[5], c2, c3, c1);
+ mul_add_c(a[3], b[4], c2, c3, c1);
+ mul_add_c(a[4], b[3], c2, c3, c1);
+ mul_add_c(a[5], b[2], c2, c3, c1);
+ mul_add_c(a[6], b[1], c2, c3, c1);
+ mul_add_c(a[7], b[0], c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[1], c3, c1, c2);
+ mul_add_c(a[6], b[2], c3, c1, c2);
+ mul_add_c(a[5], b[3], c3, c1, c2);
+ mul_add_c(a[4], b[4], c3, c1, c2);
+ mul_add_c(a[3], b[5], c3, c1, c2);
+ mul_add_c(a[2], b[6], c3, c1, c2);
+ mul_add_c(a[1], b[7], c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ mul_add_c(a[2], b[7], c1, c2, c3);
+ mul_add_c(a[3], b[6], c1, c2, c3);
+ mul_add_c(a[4], b[5], c1, c2, c3);
+ mul_add_c(a[5], b[4], c1, c2, c3);
+ mul_add_c(a[6], b[3], c1, c2, c3);
+ mul_add_c(a[7], b[2], c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ mul_add_c(a[7], b[3], c2, c3, c1);
+ mul_add_c(a[6], b[4], c2, c3, c1);
+ mul_add_c(a[5], b[5], c2, c3, c1);
+ mul_add_c(a[4], b[6], c2, c3, c1);
+ mul_add_c(a[3], b[7], c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ mul_add_c(a[4], b[7], c3, c1, c2);
+ mul_add_c(a[5], b[6], c3, c1, c2);
+ mul_add_c(a[6], b[5], c3, c1, c2);
+ mul_add_c(a[7], b[4], c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ mul_add_c(a[7], b[5], c1, c2, c3);
+ mul_add_c(a[6], b[6], c1, c2, c3);
+ mul_add_c(a[5], b[7], c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ mul_add_c(a[6], b[7], c2, c3, c1);
+ mul_add_c(a[7], b[6], c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ mul_add_c(a[7], b[7], c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
-#ifdef BN_LLONG
- BN_ULLONG t;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- mul_add_c(a[0],b[0],c1,c2,c3);
- r[0]=c1;
- c1=0;
- mul_add_c(a[0],b[1],c2,c3,c1);
- mul_add_c(a[1],b[0],c2,c3,c1);
- r[1]=c2;
- c2=0;
- mul_add_c(a[2],b[0],c3,c1,c2);
- mul_add_c(a[1],b[1],c3,c1,c2);
- mul_add_c(a[0],b[2],c3,c1,c2);
- r[2]=c3;
- c3=0;
- mul_add_c(a[0],b[3],c1,c2,c3);
- mul_add_c(a[1],b[2],c1,c2,c3);
- mul_add_c(a[2],b[1],c1,c2,c3);
- mul_add_c(a[3],b[0],c1,c2,c3);
- r[3]=c1;
- c1=0;
- mul_add_c(a[3],b[1],c2,c3,c1);
- mul_add_c(a[2],b[2],c2,c3,c1);
- mul_add_c(a[1],b[3],c2,c3,c1);
- r[4]=c2;
- c2=0;
- mul_add_c(a[2],b[3],c3,c1,c2);
- mul_add_c(a[3],b[2],c3,c1,c2);
- r[5]=c3;
- c3=0;
- mul_add_c(a[3],b[3],c1,c2,c3);
- r[6]=c1;
- r[7]=c2;
- }
+{
+# ifdef BN_LLONG
+ BN_ULLONG t;
+# else
+ BN_ULONG bl, bh;
+# endif
+ BN_ULONG t1, t2;
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ mul_add_c(a[0], b[0], c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ mul_add_c(a[0], b[1], c2, c3, c1);
+ mul_add_c(a[1], b[0], c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[0], c3, c1, c2);
+ mul_add_c(a[1], b[1], c3, c1, c2);
+ mul_add_c(a[0], b[2], c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ mul_add_c(a[0], b[3], c1, c2, c3);
+ mul_add_c(a[1], b[2], c1, c2, c3);
+ mul_add_c(a[2], b[1], c1, c2, c3);
+ mul_add_c(a[3], b[0], c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ mul_add_c(a[3], b[1], c2, c3, c1);
+ mul_add_c(a[2], b[2], c2, c3, c1);
+ mul_add_c(a[1], b[3], c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ mul_add_c(a[2], b[3], c3, c1, c2);
+ mul_add_c(a[3], b[2], c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ mul_add_c(a[3], b[3], c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
- {
-#ifdef BN_LLONG
- BN_ULLONG t,tt;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- sqr_add_c(a,0,c1,c2,c3);
- r[0]=c1;
- c1=0;
- sqr_add_c2(a,1,0,c2,c3,c1);
- r[1]=c2;
- c2=0;
- sqr_add_c(a,1,c3,c1,c2);
- sqr_add_c2(a,2,0,c3,c1,c2);
- r[2]=c3;
- c3=0;
- sqr_add_c2(a,3,0,c1,c2,c3);
- sqr_add_c2(a,2,1,c1,c2,c3);
- r[3]=c1;
- c1=0;
- sqr_add_c(a,2,c2,c3,c1);
- sqr_add_c2(a,3,1,c2,c3,c1);
- sqr_add_c2(a,4,0,c2,c3,c1);
- r[4]=c2;
- c2=0;
- sqr_add_c2(a,5,0,c3,c1,c2);
- sqr_add_c2(a,4,1,c3,c1,c2);
- sqr_add_c2(a,3,2,c3,c1,c2);
- r[5]=c3;
- c3=0;
- sqr_add_c(a,3,c1,c2,c3);
- sqr_add_c2(a,4,2,c1,c2,c3);
- sqr_add_c2(a,5,1,c1,c2,c3);
- sqr_add_c2(a,6,0,c1,c2,c3);
- r[6]=c1;
- c1=0;
- sqr_add_c2(a,7,0,c2,c3,c1);
- sqr_add_c2(a,6,1,c2,c3,c1);
- sqr_add_c2(a,5,2,c2,c3,c1);
- sqr_add_c2(a,4,3,c2,c3,c1);
- r[7]=c2;
- c2=0;
- sqr_add_c(a,4,c3,c1,c2);
- sqr_add_c2(a,5,3,c3,c1,c2);
- sqr_add_c2(a,6,2,c3,c1,c2);
- sqr_add_c2(a,7,1,c3,c1,c2);
- r[8]=c3;
- c3=0;
- sqr_add_c2(a,7,2,c1,c2,c3);
- sqr_add_c2(a,6,3,c1,c2,c3);
- sqr_add_c2(a,5,4,c1,c2,c3);
- r[9]=c1;
- c1=0;
- sqr_add_c(a,5,c2,c3,c1);
- sqr_add_c2(a,6,4,c2,c3,c1);
- sqr_add_c2(a,7,3,c2,c3,c1);
- r[10]=c2;
- c2=0;
- sqr_add_c2(a,7,4,c3,c1,c2);
- sqr_add_c2(a,6,5,c3,c1,c2);
- r[11]=c3;
- c3=0;
- sqr_add_c(a,6,c1,c2,c3);
- sqr_add_c2(a,7,5,c1,c2,c3);
- r[12]=c1;
- c1=0;
- sqr_add_c2(a,7,6,c2,c3,c1);
- r[13]=c2;
- c2=0;
- sqr_add_c(a,7,c3,c1,c2);
- r[14]=c3;
- r[15]=c1;
- }
+{
+# ifdef BN_LLONG
+ BN_ULLONG t, tt;
+# else
+ BN_ULONG bl, bh;
+# endif
+ BN_ULONG t1, t2;
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ sqr_add_c2(a, 4, 0, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 5, 0, c3, c1, c2);
+ sqr_add_c2(a, 4, 1, c3, c1, c2);
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ sqr_add_c2(a, 4, 2, c1, c2, c3);
+ sqr_add_c2(a, 5, 1, c1, c2, c3);
+ sqr_add_c2(a, 6, 0, c1, c2, c3);
+ r[6] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 0, c2, c3, c1);
+ sqr_add_c2(a, 6, 1, c2, c3, c1);
+ sqr_add_c2(a, 5, 2, c2, c3, c1);
+ sqr_add_c2(a, 4, 3, c2, c3, c1);
+ r[7] = c2;
+ c2 = 0;
+ sqr_add_c(a, 4, c3, c1, c2);
+ sqr_add_c2(a, 5, 3, c3, c1, c2);
+ sqr_add_c2(a, 6, 2, c3, c1, c2);
+ sqr_add_c2(a, 7, 1, c3, c1, c2);
+ r[8] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 7, 2, c1, c2, c3);
+ sqr_add_c2(a, 6, 3, c1, c2, c3);
+ sqr_add_c2(a, 5, 4, c1, c2, c3);
+ r[9] = c1;
+ c1 = 0;
+ sqr_add_c(a, 5, c2, c3, c1);
+ sqr_add_c2(a, 6, 4, c2, c3, c1);
+ sqr_add_c2(a, 7, 3, c2, c3, c1);
+ r[10] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 7, 4, c3, c1, c2);
+ sqr_add_c2(a, 6, 5, c3, c1, c2);
+ r[11] = c3;
+ c3 = 0;
+ sqr_add_c(a, 6, c1, c2, c3);
+ sqr_add_c2(a, 7, 5, c1, c2, c3);
+ r[12] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 7, 6, c2, c3, c1);
+ r[13] = c2;
+ c2 = 0;
+ sqr_add_c(a, 7, c3, c1, c2);
+ r[14] = c3;
+ r[15] = c1;
+}
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
- {
-#ifdef BN_LLONG
- BN_ULLONG t,tt;
-#else
- BN_ULONG bl,bh;
-#endif
- BN_ULONG t1,t2;
- BN_ULONG c1,c2,c3;
-
- c1=0;
- c2=0;
- c3=0;
- sqr_add_c(a,0,c1,c2,c3);
- r[0]=c1;
- c1=0;
- sqr_add_c2(a,1,0,c2,c3,c1);
- r[1]=c2;
- c2=0;
- sqr_add_c(a,1,c3,c1,c2);
- sqr_add_c2(a,2,0,c3,c1,c2);
- r[2]=c3;
- c3=0;
- sqr_add_c2(a,3,0,c1,c2,c3);
- sqr_add_c2(a,2,1,c1,c2,c3);
- r[3]=c1;
- c1=0;
- sqr_add_c(a,2,c2,c3,c1);
- sqr_add_c2(a,3,1,c2,c3,c1);
- r[4]=c2;
- c2=0;
- sqr_add_c2(a,3,2,c3,c1,c2);
- r[5]=c3;
- c3=0;
- sqr_add_c(a,3,c1,c2,c3);
- r[6]=c1;
- r[7]=c2;
- }
-#else /* !BN_MUL_COMBA */
+{
+# ifdef BN_LLONG
+ BN_ULLONG t, tt;
+# else
+ BN_ULONG bl, bh;
+# endif
+ BN_ULONG t1, t2;
+ BN_ULONG c1, c2, c3;
+
+ c1 = 0;
+ c2 = 0;
+ c3 = 0;
+ sqr_add_c(a, 0, c1, c2, c3);
+ r[0] = c1;
+ c1 = 0;
+ sqr_add_c2(a, 1, 0, c2, c3, c1);
+ r[1] = c2;
+ c2 = 0;
+ sqr_add_c(a, 1, c3, c1, c2);
+ sqr_add_c2(a, 2, 0, c3, c1, c2);
+ r[2] = c3;
+ c3 = 0;
+ sqr_add_c2(a, 3, 0, c1, c2, c3);
+ sqr_add_c2(a, 2, 1, c1, c2, c3);
+ r[3] = c1;
+ c1 = 0;
+ sqr_add_c(a, 2, c2, c3, c1);
+ sqr_add_c2(a, 3, 1, c2, c3, c1);
+ r[4] = c2;
+ c2 = 0;
+ sqr_add_c2(a, 3, 2, c3, c1, c2);
+ r[5] = c3;
+ c3 = 0;
+ sqr_add_c(a, 3, c1, c2, c3);
+ r[6] = c1;
+ r[7] = c2;
+}
+#else /* !BN_MUL_COMBA */
/* hmm... is it faster just to do a multiply? */
-#undef bn_sqr_comba4
+# undef bn_sqr_comba4
void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t[8];
- bn_sqr_normal(r,a,4,t);
- }
+{
+ BN_ULONG t[8];
+ bn_sqr_normal(r, a, 4, t);
+}
-#undef bn_sqr_comba8
+# undef bn_sqr_comba8
void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t[16];
- bn_sqr_normal(r,a,8,t);
- }
+{
+ BN_ULONG t[16];
+ bn_sqr_normal(r, a, 8, t);
+}
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- r[4]=bn_mul_words( &(r[0]),a,4,b[0]);
- r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]);
- r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]);
- r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]);
- }
+{
+ r[4] = bn_mul_words(&(r[0]), a, 4, b[0]);
+ r[5] = bn_mul_add_words(&(r[1]), a, 4, b[1]);
+ r[6] = bn_mul_add_words(&(r[2]), a, 4, b[2]);
+ r[7] = bn_mul_add_words(&(r[3]), a, 4, b[3]);
+}
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
- r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
- r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
- r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
- r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
- r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
- r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
- r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
- }
-
-#endif /* !BN_MUL_COMBA */
+{
+ r[8] = bn_mul_words(&(r[0]), a, 8, b[0]);
+ r[9] = bn_mul_add_words(&(r[1]), a, 8, b[1]);
+ r[10] = bn_mul_add_words(&(r[2]), a, 8, b[2]);
+ r[11] = bn_mul_add_words(&(r[3]), a, 8, b[3]);
+ r[12] = bn_mul_add_words(&(r[4]), a, 8, b[4]);
+ r[13] = bn_mul_add_words(&(r[5]), a, 8, b[5]);
+ r[14] = bn_mul_add_words(&(r[6]), a, 8, b[6]);
+ r[15] = bn_mul_add_words(&(r[7]), a, 8, b[7]);
+}
+
+#endif /* !BN_MUL_COMBA */
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_blind.c b/Cryptlib/OpenSSL/crypto/bn/bn_blind.c
index ca7f996b..d74ad2ce 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_blind.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_blind.c
@@ -7,7 +7,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -58,21 +58,21 @@
* 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:
@@ -87,10 +87,10 @@
* 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
+ * 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
@@ -102,7 +102,7 @@
* 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
@@ -113,262 +113,262 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-#define BN_BLINDING_COUNTER 32
-
-struct bn_blinding_st
- {
- BIGNUM *A;
- BIGNUM *Ai;
- BIGNUM *e;
- BIGNUM *mod; /* just a reference */
- unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b;
- * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */
- int counter;
- unsigned long flags;
- BN_MONT_CTX *m_ctx;
- int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
- const BIGNUM *m, BN_CTX *ctx,
- BN_MONT_CTX *m_ctx);
- };
-
-BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, /* const */ BIGNUM *mod)
- {
- BN_BLINDING *ret=NULL;
-
- bn_check_top(mod);
-
- if ((ret=(BN_BLINDING *)OPENSSL_malloc(sizeof(BN_BLINDING))) == NULL)
- {
- BNerr(BN_F_BN_BLINDING_NEW,ERR_R_MALLOC_FAILURE);
- return(NULL);
- }
- memset(ret,0,sizeof(BN_BLINDING));
- if (A != NULL)
- {
- if ((ret->A = BN_dup(A)) == NULL) goto err;
- }
- if (Ai != NULL)
- {
- if ((ret->Ai = BN_dup(Ai)) == NULL) goto err;
- }
-
- /* save a copy of mod in the BN_BLINDING structure */
- if ((ret->mod = BN_dup(mod)) == NULL) goto err;
- if (BN_get_flags(mod, BN_FLG_CONSTTIME) != 0)
- BN_set_flags(ret->mod, BN_FLG_CONSTTIME);
-
- /* Set the counter to the special value -1
- * to indicate that this is never-used fresh blinding
- * that does not need updating before first use. */
- ret->counter = -1;
- return(ret);
-err:
- if (ret != NULL) BN_BLINDING_free(ret);
- return(NULL);
- }
+#define BN_BLINDING_COUNTER 32
+
+struct bn_blinding_st {
+ BIGNUM *A;
+ BIGNUM *Ai;
+ BIGNUM *e;
+ BIGNUM *mod; /* just a reference */
+ unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b; used
+ * only by crypto/rsa/rsa_eay.c, rsa_lib.c */
+ int counter;
+ unsigned long flags;
+ BN_MONT_CTX *m_ctx;
+ int (*bn_mod_exp) (BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
+};
+
+BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod)
+{
+ BN_BLINDING *ret = NULL;
+
+ bn_check_top(mod);
+
+ if ((ret = (BN_BLINDING *)OPENSSL_malloc(sizeof(BN_BLINDING))) == NULL) {
+ BNerr(BN_F_BN_BLINDING_NEW, ERR_R_MALLOC_FAILURE);
+ return (NULL);
+ }
+ memset(ret, 0, sizeof(BN_BLINDING));
+ if (A != NULL) {
+ if ((ret->A = BN_dup(A)) == NULL)
+ goto err;
+ }
+ if (Ai != NULL) {
+ if ((ret->Ai = BN_dup(Ai)) == NULL)
+ goto err;
+ }
+
+ /* save a copy of mod in the BN_BLINDING structure */
+ if ((ret->mod = BN_dup(mod)) == NULL)
+ goto err;
+ if (BN_get_flags(mod, BN_FLG_CONSTTIME) != 0)
+ BN_set_flags(ret->mod, BN_FLG_CONSTTIME);
+
+ /*
+ * Set the counter to the special value -1 to indicate that this is
+ * never-used fresh blinding that does not need updating before first
+ * use.
+ */
+ ret->counter = -1;
+ return (ret);
+ err:
+ if (ret != NULL)
+ BN_BLINDING_free(ret);
+ return (NULL);
+}
void BN_BLINDING_free(BN_BLINDING *r)
- {
- if(r == NULL)
- return;
-
- if (r->A != NULL) BN_free(r->A );
- if (r->Ai != NULL) BN_free(r->Ai);
- if (r->e != NULL) BN_free(r->e );
- if (r->mod != NULL) BN_free(r->mod);
- OPENSSL_free(r);
- }
+{
+ if (r == NULL)
+ return;
+
+ if (r->A != NULL)
+ BN_free(r->A);
+ if (r->Ai != NULL)
+ BN_free(r->Ai);
+ if (r->e != NULL)
+ BN_free(r->e);
+ if (r->mod != NULL)
+ BN_free(r->mod);
+ OPENSSL_free(r);
+}
int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx)
- {
- int ret=0;
-
- if ((b->A == NULL) || (b->Ai == NULL))
- {
- BNerr(BN_F_BN_BLINDING_UPDATE,BN_R_NOT_INITIALIZED);
- goto err;
- }
-
- if (b->counter == -1)
- b->counter = 0;
-
- if (++b->counter == BN_BLINDING_COUNTER && b->e != NULL &&
- !(b->flags & BN_BLINDING_NO_RECREATE))
- {
- /* re-create blinding parameters */
- if (!BN_BLINDING_create_param(b, NULL, NULL, ctx, NULL, NULL))
- goto err;
- }
- else if (!(b->flags & BN_BLINDING_NO_UPDATE))
- {
- if (!BN_mod_mul(b->A,b->A,b->A,b->mod,ctx)) goto err;
- if (!BN_mod_mul(b->Ai,b->Ai,b->Ai,b->mod,ctx)) goto err;
- }
-
- ret=1;
-err:
- if (b->counter == BN_BLINDING_COUNTER)
- b->counter = 0;
- return(ret);
- }
+{
+ int ret = 0;
+
+ if ((b->A == NULL) || (b->Ai == NULL)) {
+ BNerr(BN_F_BN_BLINDING_UPDATE, BN_R_NOT_INITIALIZED);
+ goto err;
+ }
+
+ if (b->counter == -1)
+ b->counter = 0;
+
+ if (++b->counter == BN_BLINDING_COUNTER && b->e != NULL &&
+ !(b->flags & BN_BLINDING_NO_RECREATE)) {
+ /* re-create blinding parameters */
+ if (!BN_BLINDING_create_param(b, NULL, NULL, ctx, NULL, NULL))
+ goto err;
+ } else if (!(b->flags & BN_BLINDING_NO_UPDATE)) {
+ if (!BN_mod_mul(b->A, b->A, b->A, b->mod, ctx))
+ goto err;
+ if (!BN_mod_mul(b->Ai, b->Ai, b->Ai, b->mod, ctx))
+ goto err;
+ }
+
+ ret = 1;
+ err:
+ if (b->counter == BN_BLINDING_COUNTER)
+ b->counter = 0;
+ return (ret);
+}
int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx)
- {
- return BN_BLINDING_convert_ex(n, NULL, b, ctx);
- }
+{
+ return BN_BLINDING_convert_ex(n, NULL, b, ctx);
+}
int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx)
- {
- int ret = 1;
+{
+ int ret = 1;
- bn_check_top(n);
+ bn_check_top(n);
- if ((b->A == NULL) || (b->Ai == NULL))
- {
- BNerr(BN_F_BN_BLINDING_CONVERT_EX,BN_R_NOT_INITIALIZED);
- return(0);
- }
+ if ((b->A == NULL) || (b->Ai == NULL)) {
+ BNerr(BN_F_BN_BLINDING_CONVERT_EX, BN_R_NOT_INITIALIZED);
+ return (0);
+ }
- if (b->counter == -1)
- /* Fresh blinding, doesn't need updating. */
- b->counter = 0;
- else if (!BN_BLINDING_update(b,ctx))
- return(0);
+ if (b->counter == -1)
+ /* Fresh blinding, doesn't need updating. */
+ b->counter = 0;
+ else if (!BN_BLINDING_update(b, ctx))
+ return (0);
- if (r != NULL)
- {
- if (!BN_copy(r, b->Ai)) ret=0;
- }
+ if (r != NULL) {
+ if (!BN_copy(r, b->Ai))
+ ret = 0;
+ }
- if (!BN_mod_mul(n,n,b->A,b->mod,ctx)) ret=0;
-
- return ret;
- }
+ if (!BN_mod_mul(n, n, b->A, b->mod, ctx))
+ ret = 0;
+
+ return ret;
+}
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx)
- {
- return BN_BLINDING_invert_ex(n, NULL, b, ctx);
- }
-
-int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx)
- {
- int ret;
-
- bn_check_top(n);
-
- if (r != NULL)
- ret = BN_mod_mul(n, n, r, b->mod, ctx);
- else
- {
- if (b->Ai == NULL)
- {
- BNerr(BN_F_BN_BLINDING_INVERT_EX,BN_R_NOT_INITIALIZED);
- return(0);
- }
- ret = BN_mod_mul(n, n, b->Ai, b->mod, ctx);
- }
-
- bn_check_top(n);
- return(ret);
- }
+{
+ return BN_BLINDING_invert_ex(n, NULL, b, ctx);
+}
+
+int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b,
+ BN_CTX *ctx)
+{
+ int ret;
+
+ bn_check_top(n);
+
+ if (r != NULL)
+ ret = BN_mod_mul(n, n, r, b->mod, ctx);
+ else {
+ if (b->Ai == NULL) {
+ BNerr(BN_F_BN_BLINDING_INVERT_EX, BN_R_NOT_INITIALIZED);
+ return (0);
+ }
+ ret = BN_mod_mul(n, n, b->Ai, b->mod, ctx);
+ }
+
+ bn_check_top(n);
+ return (ret);
+}
unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *b)
- {
- return b->thread_id;
- }
+{
+ return b->thread_id;
+}
void BN_BLINDING_set_thread_id(BN_BLINDING *b, unsigned long n)
- {
- b->thread_id = n;
- }
+{
+ b->thread_id = n;
+}
unsigned long BN_BLINDING_get_flags(const BN_BLINDING *b)
- {
- return b->flags;
- }
+{
+ return b->flags;
+}
void BN_BLINDING_set_flags(BN_BLINDING *b, unsigned long flags)
- {
- b->flags = flags;
- }
+{
+ b->flags = flags;
+}
BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
- const BIGNUM *e, /* const */ BIGNUM *m, BN_CTX *ctx,
- int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
- const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
- BN_MONT_CTX *m_ctx)
+ const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
+ int (*bn_mod_exp) (BIGNUM *r,
+ const BIGNUM *a,
+ const BIGNUM *p,
+ const BIGNUM *m,
+ BN_CTX *ctx,
+ BN_MONT_CTX *m_ctx),
+ BN_MONT_CTX *m_ctx)
{
- int retry_counter = 32;
- BN_BLINDING *ret = NULL;
-
- if (b == NULL)
- ret = BN_BLINDING_new(NULL, NULL, m);
- else
- ret = b;
-
- if (ret == NULL)
- goto err;
-
- if (ret->A == NULL && (ret->A = BN_new()) == NULL)
- goto err;
- if (ret->Ai == NULL && (ret->Ai = BN_new()) == NULL)
- goto err;
-
- if (e != NULL)
- {
- if (ret->e != NULL)
- BN_free(ret->e);
- ret->e = BN_dup(e);
- }
- if (ret->e == NULL)
- goto err;
-
- if (bn_mod_exp != NULL)
- ret->bn_mod_exp = bn_mod_exp;
- if (m_ctx != NULL)
- ret->m_ctx = m_ctx;
-
- do {
- if (!BN_rand_range(ret->A, ret->mod)) goto err;
- if (BN_mod_inverse(ret->Ai, ret->A, ret->mod, ctx) == NULL)
- {
- /* this should almost never happen for good RSA keys */
- unsigned long error = ERR_peek_last_error();
- if (ERR_GET_REASON(error) == BN_R_NO_INVERSE)
- {
- if (retry_counter-- == 0)
- {
- BNerr(BN_F_BN_BLINDING_CREATE_PARAM,
- BN_R_TOO_MANY_ITERATIONS);
- goto err;
- }
- ERR_clear_error();
- }
- else
- goto err;
- }
- else
- break;
- } while (1);
-
- if (ret->bn_mod_exp != NULL && ret->m_ctx != NULL)
- {
- if (!ret->bn_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx, ret->m_ctx))
- goto err;
- }
- else
- {
- if (!BN_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx))
- goto err;
- }
-
- return ret;
-err:
- if (b == NULL && ret != NULL)
- {
- BN_BLINDING_free(ret);
- ret = NULL;
- }
-
- return ret;
+ int retry_counter = 32;
+ BN_BLINDING *ret = NULL;
+
+ if (b == NULL)
+ ret = BN_BLINDING_new(NULL, NULL, m);
+ else
+ ret = b;
+
+ if (ret == NULL)
+ goto err;
+
+ if (ret->A == NULL && (ret->A = BN_new()) == NULL)
+ goto err;
+ if (ret->Ai == NULL && (ret->Ai = BN_new()) == NULL)
+ goto err;
+
+ if (e != NULL) {
+ if (ret->e != NULL)
+ BN_free(ret->e);
+ ret->e = BN_dup(e);
+ }
+ if (ret->e == NULL)
+ goto err;
+
+ if (bn_mod_exp != NULL)
+ ret->bn_mod_exp = bn_mod_exp;
+ if (m_ctx != NULL)
+ ret->m_ctx = m_ctx;
+
+ do {
+ if (!BN_rand_range(ret->A, ret->mod))
+ goto err;
+ if (BN_mod_inverse(ret->Ai, ret->A, ret->mod, ctx) == NULL) {
+ /*
+ * this should almost never happen for good RSA keys
+ */
+ unsigned long error = ERR_peek_last_error();
+ if (ERR_GET_REASON(error) == BN_R_NO_INVERSE) {
+ if (retry_counter-- == 0) {
+ BNerr(BN_F_BN_BLINDING_CREATE_PARAM,
+ BN_R_TOO_MANY_ITERATIONS);
+ goto err;
+ }
+ ERR_clear_error();
+ } else
+ goto err;
+ } else
+ break;
+ } while (1);
+
+ if (ret->bn_mod_exp != NULL && ret->m_ctx != NULL) {
+ if (!ret->bn_mod_exp
+ (ret->A, ret->A, ret->e, ret->mod, ctx, ret->m_ctx))
+ goto err;
+ } else {
+ if (!BN_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx))
+ goto err;
+ }
+
+ return ret;
+ err:
+ if (b == NULL && ret != NULL) {
+ BN_BLINDING_free(ret);
+ ret = NULL;
+ }
+
+ return ret;
}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_const.c b/Cryptlib/OpenSSL/crypto/bn/bn_const.c
index eb60a25b..12c3208c 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_const.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_const.c
@@ -3,7 +3,8 @@
#include "bn.h"
-/* "First Oakley Default Group" from RFC2409, section 6.1.
+/*-
+ * "First Oakley Default Group" from RFC2409, section 6.1.
*
* The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
*
@@ -12,21 +13,26 @@
*/
BIGNUM *get_rfc2409_prime_768(BIGNUM *bn)
- {
- static const unsigned char RFC2409_PRIME_768[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x3A,0x36,0x20,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC2409_PRIME_768,sizeof(RFC2409_PRIME_768),bn);
- }
+{
+ static const unsigned char RFC2409_PRIME_768[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x3A, 0x36, 0x20,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC2409_PRIME_768, sizeof(RFC2409_PRIME_768), bn);
+}
-/* "Second Oakley Default Group" from RFC2409, section 6.2.
+/*-
+ * "Second Oakley Default Group" from RFC2409, section 6.2.
*
* The prime is: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
*
@@ -35,24 +41,30 @@ BIGNUM *get_rfc2409_prime_768(BIGNUM *bn)
*/
BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn)
- {
- static const unsigned char RFC2409_PRIME_1024[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE6,0x53,0x81,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC2409_PRIME_1024,sizeof(RFC2409_PRIME_1024),bn);
- }
+{
+ static const unsigned char RFC2409_PRIME_1024[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE6, 0x53, 0x81,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC2409_PRIME_1024, sizeof(RFC2409_PRIME_1024), bn);
+}
-/* "1536-bit MODP Group" from RFC3526, Section 2.
+/*-
+ * "1536-bit MODP Group" from RFC3526, Section 2.
*
* The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
*
@@ -61,29 +73,38 @@ BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_1536[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x23,0x73,0x27,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_1536,sizeof(RFC3526_PRIME_1536),bn);
- }
+{
+ static const unsigned char RFC3526_PRIME_1536[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23, 0x73, 0x27,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_1536, sizeof(RFC3526_PRIME_1536), bn);
+}
-/* "2048-bit MODP Group" from RFC3526, Section 3.
+/*-
+ * "2048-bit MODP Group" from RFC3526, Section 3.
*
* The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
*
@@ -91,35 +112,46 @@ BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_2048[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
- 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
- 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
- 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
- 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
- 0x15,0x72,0x8E,0x5A,0x8A,0xAC,0xAA,0x68,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_2048,sizeof(RFC3526_PRIME_2048),bn);
- }
+{
+ static const unsigned char RFC3526_PRIME_2048[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
+ 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
+ 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
+ 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
+ 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
+ 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_2048, sizeof(RFC3526_PRIME_2048), bn);
+}
-/* "3072-bit MODP Group" from RFC3526, Section 4.
+/*-
+ * "3072-bit MODP Group" from RFC3526, Section 4.
*
* The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
*
@@ -127,45 +159,62 @@ BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_3072[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
- 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
- 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
- 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
- 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
- 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
- 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
- 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
- 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
- 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
- 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
- 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
- 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
- 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
- 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
- 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
- 0xA9,0x3A,0xD2,0xCA,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_3072,sizeof(RFC3526_PRIME_3072),bn);
- }
+{
+ static const unsigned char RFC3526_PRIME_3072[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
+ 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
+ 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
+ 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
+ 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
+ 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
+ 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
+ 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
+ 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
+ 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
+ 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
+ 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
+ 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
+ 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
+ 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
+ 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
+ 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_3072, sizeof(RFC3526_PRIME_3072), bn);
+}
-/* "4096-bit MODP Group" from RFC3526, Section 5.
+/*-
+ * "4096-bit MODP Group" from RFC3526, Section 5.
*
* The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
*
@@ -173,56 +222,78 @@ BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_4096[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
- 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
- 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
- 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
- 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
- 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
- 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
- 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
- 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
- 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
- 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
- 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
- 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
- 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
- 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
- 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
- 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
- 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
- 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
- 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
- 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
- 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
- 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
- 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
- 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
- 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
- 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x06,0x31,0x99,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_4096,sizeof(RFC3526_PRIME_4096),bn);
- }
+{
+ static const unsigned char RFC3526_PRIME_4096[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
+ 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
+ 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
+ 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
+ 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
+ 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
+ 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
+ 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
+ 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
+ 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
+ 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
+ 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
+ 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
+ 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
+ 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
+ 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
+ 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
+ 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
+ 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
+ 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
+ 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
+ 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
+ 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
+ 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
+ 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
+ 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
+ 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
+ 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_4096, sizeof(RFC3526_PRIME_4096), bn);
+}
-/* "6144-bit MODP Group" from RFC3526, Section 6.
+/*-
+ * "6144-bit MODP Group" from RFC3526, Section 6.
*
* The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
*
@@ -230,77 +301,110 @@ BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_6144[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
- 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
- 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
- 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
- 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
- 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
- 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
- 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
- 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
- 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
- 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
- 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
- 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
- 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
- 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
- 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
- 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
- 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
- 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
- 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
- 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
- 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
- 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
- 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
- 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
- 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
- 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92,
- 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2,
- 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD,
- 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F,
- 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31,
- 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB,
- 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B,
- 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51,
- 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF,
- 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15,
- 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6,
- 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31,
- 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3,
- 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7,
- 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA,
- 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2,
- 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28,
- 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D,
- 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C,
- 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7,
- 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE,
- 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E,
- 0x6D,0xCC,0x40,0x24,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_6144,sizeof(RFC3526_PRIME_6144),bn);
- }
+{
+ static const unsigned char RFC3526_PRIME_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
+ 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
+ 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
+ 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
+ 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
+ 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
+ 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
+ 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
+ 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
+ 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
+ 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
+ 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
+ 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
+ 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
+ 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
+ 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
+ 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
+ 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
+ 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
+ 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
+ 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
+ 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
+ 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
+ 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
+ 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
+ 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
+ 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
+ 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
+ 0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
+ 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
+ 0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
+ 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
+ 0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
+ 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
+ 0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
+ 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
+ 0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
+ 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
+ 0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
+ 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
+ 0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
+ 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
+ 0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
+ 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
+ 0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
+ 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
+ 0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
+ 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
+ 0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xCC, 0x40, 0x24,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_6144, sizeof(RFC3526_PRIME_6144), bn);
+}
-/* "8192-bit MODP Group" from RFC3526, Section 7.
+/*-
+ * "8192-bit MODP Group" from RFC3526, Section 7.
*
* The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
*
@@ -308,95 +412,136 @@ BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn)
*/
BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn)
- {
- static const unsigned char RFC3526_PRIME_8192[]={
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
- 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
- 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
- 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
- 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
- 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
- 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
- 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
- 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
- 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
- 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
- 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
- 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
- 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
- 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
- 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
- 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
- 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
- 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
- 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
- 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
- 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
- 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
- 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
- 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
- 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
- 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
- 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
- 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
- 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
- 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
- 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
- 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
- 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
- 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
- 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
- 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
- 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
- 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
- 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
- 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
- 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92,
- 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2,
- 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD,
- 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F,
- 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31,
- 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB,
- 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B,
- 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51,
- 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF,
- 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15,
- 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6,
- 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31,
- 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3,
- 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7,
- 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA,
- 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2,
- 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28,
- 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D,
- 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C,
- 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7,
- 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE,
- 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E,
- 0x6D,0xBE,0x11,0x59,0x74,0xA3,0x92,0x6F,0x12,0xFE,0xE5,0xE4,
- 0x38,0x77,0x7C,0xB6,0xA9,0x32,0xDF,0x8C,0xD8,0xBE,0xC4,0xD0,
- 0x73,0xB9,0x31,0xBA,0x3B,0xC8,0x32,0xB6,0x8D,0x9D,0xD3,0x00,
- 0x74,0x1F,0xA7,0xBF,0x8A,0xFC,0x47,0xED,0x25,0x76,0xF6,0x93,
- 0x6B,0xA4,0x24,0x66,0x3A,0xAB,0x63,0x9C,0x5A,0xE4,0xF5,0x68,
- 0x34,0x23,0xB4,0x74,0x2B,0xF1,0xC9,0x78,0x23,0x8F,0x16,0xCB,
- 0xE3,0x9D,0x65,0x2D,0xE3,0xFD,0xB8,0xBE,0xFC,0x84,0x8A,0xD9,
- 0x22,0x22,0x2E,0x04,0xA4,0x03,0x7C,0x07,0x13,0xEB,0x57,0xA8,
- 0x1A,0x23,0xF0,0xC7,0x34,0x73,0xFC,0x64,0x6C,0xEA,0x30,0x6B,
- 0x4B,0xCB,0xC8,0x86,0x2F,0x83,0x85,0xDD,0xFA,0x9D,0x4B,0x7F,
- 0xA2,0xC0,0x87,0xE8,0x79,0x68,0x33,0x03,0xED,0x5B,0xDD,0x3A,
- 0x06,0x2B,0x3C,0xF5,0xB3,0xA2,0x78,0xA6,0x6D,0x2A,0x13,0xF8,
- 0x3F,0x44,0xF8,0x2D,0xDF,0x31,0x0E,0xE0,0x74,0xAB,0x6A,0x36,
- 0x45,0x97,0xE8,0x99,0xA0,0x25,0x5D,0xC1,0x64,0xF3,0x1C,0xC5,
- 0x08,0x46,0x85,0x1D,0xF9,0xAB,0x48,0x19,0x5D,0xED,0x7E,0xA1,
- 0xB1,0xD5,0x10,0xBD,0x7E,0xE7,0x4D,0x73,0xFA,0xF3,0x6B,0xC3,
- 0x1E,0xCF,0xA2,0x68,0x35,0x90,0x46,0xF4,0xEB,0x87,0x9F,0x92,
- 0x40,0x09,0x43,0x8B,0x48,0x1C,0x6C,0xD7,0x88,0x9A,0x00,0x2E,
- 0xD5,0xEE,0x38,0x2B,0xC9,0x19,0x0D,0xA6,0xFC,0x02,0x6E,0x47,
- 0x95,0x58,0xE4,0x47,0x56,0x77,0xE9,0xAA,0x9E,0x30,0x50,0xE2,
- 0x76,0x56,0x94,0xDF,0xC8,0x1F,0x56,0xE8,0x80,0xB9,0x6E,0x71,
- 0x60,0xC9,0x80,0xDD,0x98,0xED,0xD3,0xDF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,
- };
- return BN_bin2bn(RFC3526_PRIME_8192,sizeof(RFC3526_PRIME_8192),bn);
- }
-
+{
+ static const unsigned char RFC3526_PRIME_8192[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
+ 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
+ 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
+ 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
+ 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
+ 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
+ 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
+ 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
+ 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
+ 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
+ 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
+ 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
+ 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
+ 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
+ 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
+ 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
+ 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
+ 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
+ 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
+ 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
+ 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
+ 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
+ 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
+ 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
+ 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
+ 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
+ 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
+ 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
+ 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
+ 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
+ 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
+ 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
+ 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
+ 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
+ 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
+ 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
+ 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
+ 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
+ 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
+ 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
+ 0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
+ 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
+ 0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
+ 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
+ 0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
+ 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
+ 0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
+ 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
+ 0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
+ 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
+ 0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
+ 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
+ 0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
+ 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
+ 0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
+ 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
+ 0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
+ 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
+ 0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
+ 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
+ 0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xBE, 0x11, 0x59,
+ 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
+ 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C,
+ 0xD8, 0xBE, 0xC4, 0xD0, 0x73, 0xB9, 0x31, 0xBA,
+ 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
+ 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED,
+ 0x25, 0x76, 0xF6, 0x93, 0x6B, 0xA4, 0x24, 0x66,
+ 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
+ 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78,
+ 0x23, 0x8F, 0x16, 0xCB, 0xE3, 0x9D, 0x65, 0x2D,
+ 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
+ 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07,
+ 0x13, 0xEB, 0x57, 0xA8, 0x1A, 0x23, 0xF0, 0xC7,
+ 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
+ 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD,
+ 0xFA, 0x9D, 0x4B, 0x7F, 0xA2, 0xC0, 0x87, 0xE8,
+ 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
+ 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6,
+ 0x6D, 0x2A, 0x13, 0xF8, 0x3F, 0x44, 0xF8, 0x2D,
+ 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
+ 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1,
+ 0x64, 0xF3, 0x1C, 0xC5, 0x08, 0x46, 0x85, 0x1D,
+ 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
+ 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73,
+ 0xFA, 0xF3, 0x6B, 0xC3, 0x1E, 0xCF, 0xA2, 0x68,
+ 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
+ 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7,
+ 0x88, 0x9A, 0x00, 0x2E, 0xD5, 0xEE, 0x38, 0x2B,
+ 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
+ 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA,
+ 0x9E, 0x30, 0x50, 0xE2, 0x76, 0x56, 0x94, 0xDF,
+ 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
+ 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_8192, sizeof(RFC3526_PRIME_8192), bn);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c b/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c
index b3452f1a..1d756a0b 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c
@@ -8,7 +8,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -55,9 +55,9 @@
*/
#if !defined(BN_CTX_DEBUG) && !defined(BN_DEBUG)
-#ifndef NDEBUG
-#define NDEBUG
-#endif
+# ifndef NDEBUG
+# define NDEBUG
+# endif
#endif
#include <stdio.h>
@@ -66,7 +66,8 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-/* TODO list
+/*-
+ * TODO list
*
* 1. Check a bunch of "(words+1)" type hacks in various bignum functions and
* check they can be safely removed.
@@ -79,376 +80,369 @@
*/
/* How many bignums are in each "pool item"; */
-#define BN_CTX_POOL_SIZE 16
+#define BN_CTX_POOL_SIZE 16
/* The stack frame info is resizing, set a first-time expansion size; */
-#define BN_CTX_START_FRAMES 32
+#define BN_CTX_START_FRAMES 32
/***********/
/* BN_POOL */
/***********/
/* A bundle of bignums that can be linked with other bundles */
-typedef struct bignum_pool_item
- {
- /* The bignum values */
- BIGNUM vals[BN_CTX_POOL_SIZE];
- /* Linked-list admin */
- struct bignum_pool_item *prev, *next;
- } BN_POOL_ITEM;
+typedef struct bignum_pool_item {
+ /* The bignum values */
+ BIGNUM vals[BN_CTX_POOL_SIZE];
+ /* Linked-list admin */
+ struct bignum_pool_item *prev, *next;
+} BN_POOL_ITEM;
/* A linked-list of bignums grouped in bundles */
-typedef struct bignum_pool
- {
- /* Linked-list admin */
- BN_POOL_ITEM *head, *current, *tail;
- /* Stack depth and allocation size */
- unsigned used, size;
- } BN_POOL;
-static void BN_POOL_init(BN_POOL *);
-static void BN_POOL_finish(BN_POOL *);
+typedef struct bignum_pool {
+ /* Linked-list admin */
+ BN_POOL_ITEM *head, *current, *tail;
+ /* Stack depth and allocation size */
+ unsigned used, size;
+} BN_POOL;
+static void BN_POOL_init(BN_POOL *);
+static void BN_POOL_finish(BN_POOL *);
#ifndef OPENSSL_NO_DEPRECATED
-static void BN_POOL_reset(BN_POOL *);
+static void BN_POOL_reset(BN_POOL *);
#endif
-static BIGNUM * BN_POOL_get(BN_POOL *);
-static void BN_POOL_release(BN_POOL *, unsigned int);
+static BIGNUM *BN_POOL_get(BN_POOL *);
+static void BN_POOL_release(BN_POOL *, unsigned int);
/************/
/* BN_STACK */
/************/
/* A wrapper to manage the "stack frames" */
-typedef struct bignum_ctx_stack
- {
- /* Array of indexes into the bignum stack */
- unsigned int *indexes;
- /* Number of stack frames, and the size of the allocated array */
- unsigned int depth, size;
- } BN_STACK;
-static void BN_STACK_init(BN_STACK *);
-static void BN_STACK_finish(BN_STACK *);
+typedef struct bignum_ctx_stack {
+ /* Array of indexes into the bignum stack */
+ unsigned int *indexes;
+ /* Number of stack frames, and the size of the allocated array */
+ unsigned int depth, size;
+} BN_STACK;
+static void BN_STACK_init(BN_STACK *);
+static void BN_STACK_finish(BN_STACK *);
#ifndef OPENSSL_NO_DEPRECATED
-static void BN_STACK_reset(BN_STACK *);
+static void BN_STACK_reset(BN_STACK *);
#endif
-static int BN_STACK_push(BN_STACK *, unsigned int);
-static unsigned int BN_STACK_pop(BN_STACK *);
+static int BN_STACK_push(BN_STACK *, unsigned int);
+static unsigned int BN_STACK_pop(BN_STACK *);
/**********/
/* BN_CTX */
/**********/
/* The opaque BN_CTX type */
-struct bignum_ctx
- {
- /* The bignum bundles */
- BN_POOL pool;
- /* The "stack frames", if you will */
- BN_STACK stack;
- /* The number of bignums currently assigned */
- unsigned int used;
- /* Depth of stack overflow */
- int err_stack;
- /* Block "gets" until an "end" (compatibility behaviour) */
- int too_many;
- };
+struct bignum_ctx {
+ /* The bignum bundles */
+ BN_POOL pool;
+ /* The "stack frames", if you will */
+ BN_STACK stack;
+ /* The number of bignums currently assigned */
+ unsigned int used;
+ /* Depth of stack overflow */
+ int err_stack;
+ /* Block "gets" until an "end" (compatibility behaviour) */
+ int too_many;
+};
/* Enable this to find BN_CTX bugs */
#ifdef BN_CTX_DEBUG
static const char *ctxdbg_cur = NULL;
static void ctxdbg(BN_CTX *ctx)
- {
- unsigned int bnidx = 0, fpidx = 0;
- BN_POOL_ITEM *item = ctx->pool.head;
- BN_STACK *stack = &ctx->stack;
- fprintf(stderr,"(%08x): ", (unsigned int)ctx);
- while(bnidx < ctx->used)
- {
- fprintf(stderr,"%02x ", item->vals[bnidx++ % BN_CTX_POOL_SIZE].dmax);
- if(!(bnidx % BN_CTX_POOL_SIZE))
- item = item->next;
- }
- fprintf(stderr,"\n");
- bnidx = 0;
- fprintf(stderr," : ");
- while(fpidx < stack->depth)
- {
- while(bnidx++ < stack->indexes[fpidx])
- fprintf(stderr," ");
- fprintf(stderr,"^^ ");
- bnidx++;
- fpidx++;
- }
- fprintf(stderr,"\n");
- }
-#define CTXDBG_ENTRY(str, ctx) do { \
- ctxdbg_cur = (str); \
- fprintf(stderr,"Starting %s\n", ctxdbg_cur); \
- ctxdbg(ctx); \
- } while(0)
-#define CTXDBG_EXIT(ctx) do { \
- fprintf(stderr,"Ending %s\n", ctxdbg_cur); \
- ctxdbg(ctx); \
- } while(0)
-#define CTXDBG_RET(ctx,ret)
+{
+ unsigned int bnidx = 0, fpidx = 0;
+ BN_POOL_ITEM *item = ctx->pool.head;
+ BN_STACK *stack = &ctx->stack;
+ fprintf(stderr, "(%08x): ", (unsigned int)ctx);
+ while (bnidx < ctx->used) {
+ fprintf(stderr, "%02x ", item->vals[bnidx++ % BN_CTX_POOL_SIZE].dmax);
+ if (!(bnidx % BN_CTX_POOL_SIZE))
+ item = item->next;
+ }
+ fprintf(stderr, "\n");
+ bnidx = 0;
+ fprintf(stderr, " : ");
+ while (fpidx < stack->depth) {
+ while (bnidx++ < stack->indexes[fpidx])
+ fprintf(stderr, " ");
+ fprintf(stderr, "^^ ");
+ bnidx++;
+ fpidx++;
+ }
+ fprintf(stderr, "\n");
+}
+
+# define CTXDBG_ENTRY(str, ctx) do { \
+ ctxdbg_cur = (str); \
+ fprintf(stderr,"Starting %s\n", ctxdbg_cur); \
+ ctxdbg(ctx); \
+ } while(0)
+# define CTXDBG_EXIT(ctx) do { \
+ fprintf(stderr,"Ending %s\n", ctxdbg_cur); \
+ ctxdbg(ctx); \
+ } while(0)
+# define CTXDBG_RET(ctx,ret)
#else
-#define CTXDBG_ENTRY(str, ctx)
-#define CTXDBG_EXIT(ctx)
-#define CTXDBG_RET(ctx,ret)
+# define CTXDBG_ENTRY(str, ctx)
+# define CTXDBG_EXIT(ctx)
+# define CTXDBG_RET(ctx,ret)
#endif
-/* This function is an evil legacy and should not be used. This implementation
- * is WYSIWYG, though I've done my best. */
+/*
+ * This function is an evil legacy and should not be used. This
+ * implementation is WYSIWYG, though I've done my best.
+ */
#ifndef OPENSSL_NO_DEPRECATED
void BN_CTX_init(BN_CTX *ctx)
- {
- /* Assume the caller obtained the context via BN_CTX_new() and so is
- * trying to reset it for use. Nothing else makes sense, least of all
- * binary compatibility from a time when they could declare a static
- * variable. */
- BN_POOL_reset(&ctx->pool);
- BN_STACK_reset(&ctx->stack);
- ctx->used = 0;
- ctx->err_stack = 0;
- ctx->too_many = 0;
- }
+{
+ /*
+ * Assume the caller obtained the context via BN_CTX_new() and so is
+ * trying to reset it for use. Nothing else makes sense, least of all
+ * binary compatibility from a time when they could declare a static
+ * variable.
+ */
+ BN_POOL_reset(&ctx->pool);
+ BN_STACK_reset(&ctx->stack);
+ ctx->used = 0;
+ ctx->err_stack = 0;
+ ctx->too_many = 0;
+}
#endif
BN_CTX *BN_CTX_new(void)
- {
- BN_CTX *ret = OPENSSL_malloc(sizeof(BN_CTX));
- if(!ret)
- {
- BNerr(BN_F_BN_CTX_NEW,ERR_R_MALLOC_FAILURE);
- return NULL;
- }
- /* Initialise the structure */
- BN_POOL_init(&ret->pool);
- BN_STACK_init(&ret->stack);
- ret->used = 0;
- ret->err_stack = 0;
- ret->too_many = 0;
- return ret;
- }
+{
+ BN_CTX *ret = OPENSSL_malloc(sizeof(BN_CTX));
+ if (!ret) {
+ BNerr(BN_F_BN_CTX_NEW, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ /* Initialise the structure */
+ BN_POOL_init(&ret->pool);
+ BN_STACK_init(&ret->stack);
+ ret->used = 0;
+ ret->err_stack = 0;
+ ret->too_many = 0;
+ return ret;
+}
void BN_CTX_free(BN_CTX *ctx)
- {
- if (ctx == NULL)
- return;
+{
+ if (ctx == NULL)
+ return;
#ifdef BN_CTX_DEBUG
- {
- BN_POOL_ITEM *pool = ctx->pool.head;
- fprintf(stderr,"BN_CTX_free, stack-size=%d, pool-bignums=%d\n",
- ctx->stack.size, ctx->pool.size);
- fprintf(stderr,"dmaxs: ");
- while(pool) {
- unsigned loop = 0;
- while(loop < BN_CTX_POOL_SIZE)
- fprintf(stderr,"%02x ", pool->vals[loop++].dmax);
- pool = pool->next;
- }
- fprintf(stderr,"\n");
- }
+ {
+ BN_POOL_ITEM *pool = ctx->pool.head;
+ fprintf(stderr, "BN_CTX_free, stack-size=%d, pool-bignums=%d\n",
+ ctx->stack.size, ctx->pool.size);
+ fprintf(stderr, "dmaxs: ");
+ while (pool) {
+ unsigned loop = 0;
+ while (loop < BN_CTX_POOL_SIZE)
+ fprintf(stderr, "%02x ", pool->vals[loop++].dmax);
+ pool = pool->next;
+ }
+ fprintf(stderr, "\n");
+ }
#endif
- BN_STACK_finish(&ctx->stack);
- BN_POOL_finish(&ctx->pool);
- OPENSSL_free(ctx);
- }
+ BN_STACK_finish(&ctx->stack);
+ BN_POOL_finish(&ctx->pool);
+ OPENSSL_free(ctx);
+}
void BN_CTX_start(BN_CTX *ctx)
- {
- CTXDBG_ENTRY("BN_CTX_start", ctx);
- /* If we're already overflowing ... */
- if(ctx->err_stack || ctx->too_many)
- ctx->err_stack++;
- /* (Try to) get a new frame pointer */
- else if(!BN_STACK_push(&ctx->stack, ctx->used))
- {
- BNerr(BN_F_BN_CTX_START,BN_R_TOO_MANY_TEMPORARY_VARIABLES);
- ctx->err_stack++;
- }
- CTXDBG_EXIT(ctx);
- }
+{
+ CTXDBG_ENTRY("BN_CTX_start", ctx);
+ /* If we're already overflowing ... */
+ if (ctx->err_stack || ctx->too_many)
+ ctx->err_stack++;
+ /* (Try to) get a new frame pointer */
+ else if (!BN_STACK_push(&ctx->stack, ctx->used)) {
+ BNerr(BN_F_BN_CTX_START, BN_R_TOO_MANY_TEMPORARY_VARIABLES);
+ ctx->err_stack++;
+ }
+ CTXDBG_EXIT(ctx);
+}
void BN_CTX_end(BN_CTX *ctx)
- {
- CTXDBG_ENTRY("BN_CTX_end", ctx);
- if(ctx->err_stack)
- ctx->err_stack--;
- else
- {
- unsigned int fp = BN_STACK_pop(&ctx->stack);
- /* Does this stack frame have anything to release? */
- if(fp < ctx->used)
- BN_POOL_release(&ctx->pool, ctx->used - fp);
- ctx->used = fp;
- /* Unjam "too_many" in case "get" had failed */
- ctx->too_many = 0;
- }
- CTXDBG_EXIT(ctx);
- }
+{
+ CTXDBG_ENTRY("BN_CTX_end", ctx);
+ if (ctx->err_stack)
+ ctx->err_stack--;
+ else {
+ unsigned int fp = BN_STACK_pop(&ctx->stack);
+ /* Does this stack frame have anything to release? */
+ if (fp < ctx->used)
+ BN_POOL_release(&ctx->pool, ctx->used - fp);
+ ctx->used = fp;
+ /* Unjam "too_many" in case "get" had failed */
+ ctx->too_many = 0;
+ }
+ CTXDBG_EXIT(ctx);
+}
BIGNUM *BN_CTX_get(BN_CTX *ctx)
- {
- BIGNUM *ret;
- CTXDBG_ENTRY("BN_CTX_get", ctx);
- if(ctx->err_stack || ctx->too_many) return NULL;
- if((ret = BN_POOL_get(&ctx->pool)) == NULL)
- {
- /* Setting too_many prevents repeated "get" attempts from
- * cluttering the error stack. */
- ctx->too_many = 1;
- BNerr(BN_F_BN_CTX_GET,BN_R_TOO_MANY_TEMPORARY_VARIABLES);
- return NULL;
- }
- /* OK, make sure the returned bignum is "zero" */
- BN_zero(ret);
- ctx->used++;
- CTXDBG_RET(ctx, ret);
- return ret;
- }
+{
+ BIGNUM *ret;
+ CTXDBG_ENTRY("BN_CTX_get", ctx);
+ if (ctx->err_stack || ctx->too_many)
+ return NULL;
+ if ((ret = BN_POOL_get(&ctx->pool)) == NULL) {
+ /*
+ * Setting too_many prevents repeated "get" attempts from cluttering
+ * the error stack.
+ */
+ ctx->too_many = 1;
+ BNerr(BN_F_BN_CTX_GET, BN_R_TOO_MANY_TEMPORARY_VARIABLES);
+ return NULL;
+ }
+ /* OK, make sure the returned bignum is "zero" */
+ BN_zero(ret);
+ ctx->used++;
+ CTXDBG_RET(ctx, ret);
+ return ret;
+}
/************/
/* BN_STACK */
/************/
static void BN_STACK_init(BN_STACK *st)
- {
- st->indexes = NULL;
- st->depth = st->size = 0;
- }
+{
+ st->indexes = NULL;
+ st->depth = st->size = 0;
+}
static void BN_STACK_finish(BN_STACK *st)
- {
- if(st->size) OPENSSL_free(st->indexes);
- }
+{
+ if (st->size)
+ OPENSSL_free(st->indexes);
+}
#ifndef OPENSSL_NO_DEPRECATED
static void BN_STACK_reset(BN_STACK *st)
- {
- st->depth = 0;
- }
+{
+ st->depth = 0;
+}
#endif
static int BN_STACK_push(BN_STACK *st, unsigned int idx)
- {
- if(st->depth == st->size)
- /* Need to expand */
- {
- unsigned int newsize = (st->size ?
- (st->size * 3 / 2) : BN_CTX_START_FRAMES);
- unsigned int *newitems = OPENSSL_malloc(newsize *
- sizeof(unsigned int));
- if(!newitems) return 0;
- if(st->depth)
- memcpy(newitems, st->indexes, st->depth *
- sizeof(unsigned int));
- if(st->size) OPENSSL_free(st->indexes);
- st->indexes = newitems;
- st->size = newsize;
- }
- st->indexes[(st->depth)++] = idx;
- return 1;
- }
+{
+ if (st->depth == st->size)
+ /* Need to expand */
+ {
+ unsigned int newsize = (st->size ?
+ (st->size * 3 / 2) : BN_CTX_START_FRAMES);
+ unsigned int *newitems = OPENSSL_malloc(newsize *
+ sizeof(unsigned int));
+ if (!newitems)
+ return 0;
+ if (st->depth)
+ memcpy(newitems, st->indexes, st->depth * sizeof(unsigned int));
+ if (st->size)
+ OPENSSL_free(st->indexes);
+ st->indexes = newitems;
+ st->size = newsize;
+ }
+ st->indexes[(st->depth)++] = idx;
+ return 1;
+}
static unsigned int BN_STACK_pop(BN_STACK *st)
- {
- return st->indexes[--(st->depth)];
- }
+{
+ return st->indexes[--(st->depth)];
+}
/***********/
/* BN_POOL */
/***********/
static void BN_POOL_init(BN_POOL *p)
- {
- p->head = p->current = p->tail = NULL;
- p->used = p->size = 0;
- }
+{
+ p->head = p->current = p->tail = NULL;
+ p->used = p->size = 0;
+}
static void BN_POOL_finish(BN_POOL *p)
- {
- while(p->head)
- {
- unsigned int loop = 0;
- BIGNUM *bn = p->head->vals;
- while(loop++ < BN_CTX_POOL_SIZE)
- {
- if(bn->d) BN_clear_free(bn);
- bn++;
- }
- p->current = p->head->next;
- OPENSSL_free(p->head);
- p->head = p->current;
- }
- }
+{
+ while (p->head) {
+ unsigned int loop = 0;
+ BIGNUM *bn = p->head->vals;
+ while (loop++ < BN_CTX_POOL_SIZE) {
+ if (bn->d)
+ BN_clear_free(bn);
+ bn++;
+ }
+ p->current = p->head->next;
+ OPENSSL_free(p->head);
+ p->head = p->current;
+ }
+}
#ifndef OPENSSL_NO_DEPRECATED
static void BN_POOL_reset(BN_POOL *p)
- {
- BN_POOL_ITEM *item = p->head;
- while(item)
- {
- unsigned int loop = 0;
- BIGNUM *bn = item->vals;
- while(loop++ < BN_CTX_POOL_SIZE)
- {
- if(bn->d) BN_clear(bn);
- bn++;
- }
- item = item->next;
- }
- p->current = p->head;
- p->used = 0;
- }
+{
+ BN_POOL_ITEM *item = p->head;
+ while (item) {
+ unsigned int loop = 0;
+ BIGNUM *bn = item->vals;
+ while (loop++ < BN_CTX_POOL_SIZE) {
+ if (bn->d)
+ BN_clear(bn);
+ bn++;
+ }
+ item = item->next;
+ }
+ p->current = p->head;
+ p->used = 0;
+}
#endif
static BIGNUM *BN_POOL_get(BN_POOL *p)
- {
- if(p->used == p->size)
- {
- BIGNUM *bn;
- unsigned int loop = 0;
- BN_POOL_ITEM *item = OPENSSL_malloc(sizeof(BN_POOL_ITEM));
- if(!item) return NULL;
- /* Initialise the structure */
- bn = item->vals;
- while(loop++ < BN_CTX_POOL_SIZE)
- BN_init(bn++);
- item->prev = p->tail;
- item->next = NULL;
- /* Link it in */
- if(!p->head)
- p->head = p->current = p->tail = item;
- else
- {
- p->tail->next = item;
- p->tail = item;
- p->current = item;
- }
- p->size += BN_CTX_POOL_SIZE;
- p->used++;
- /* Return the first bignum from the new pool */
- return item->vals;
- }
- if(!p->used)
- p->current = p->head;
- else if((p->used % BN_CTX_POOL_SIZE) == 0)
- p->current = p->current->next;
- return p->current->vals + ((p->used++) % BN_CTX_POOL_SIZE);
- }
+{
+ if (p->used == p->size) {
+ BIGNUM *bn;
+ unsigned int loop = 0;
+ BN_POOL_ITEM *item = OPENSSL_malloc(sizeof(BN_POOL_ITEM));
+ if (!item)
+ return NULL;
+ /* Initialise the structure */
+ bn = item->vals;
+ while (loop++ < BN_CTX_POOL_SIZE)
+ BN_init(bn++);
+ item->prev = p->tail;
+ item->next = NULL;
+ /* Link it in */
+ if (!p->head)
+ p->head = p->current = p->tail = item;
+ else {
+ p->tail->next = item;
+ p->tail = item;
+ p->current = item;
+ }
+ p->size += BN_CTX_POOL_SIZE;
+ p->used++;
+ /* Return the first bignum from the new pool */
+ return item->vals;
+ }
+ if (!p->used)
+ p->current = p->head;
+ else if ((p->used % BN_CTX_POOL_SIZE) == 0)
+ p->current = p->current->next;
+ return p->current->vals + ((p->used++) % BN_CTX_POOL_SIZE);
+}
static void BN_POOL_release(BN_POOL *p, unsigned int num)
- {
- unsigned int offset = (p->used - 1) % BN_CTX_POOL_SIZE;
- p->used -= num;
- while(num--)
- {
- bn_check_top(p->current->vals + offset);
- if(!offset)
- {
- offset = BN_CTX_POOL_SIZE - 1;
- p->current = p->current->prev;
- }
- else
- offset--;
- }
- }
-
+{
+ unsigned int offset = (p->used - 1) % BN_CTX_POOL_SIZE;
+ p->used -= num;
+ while (num--) {
+ bn_check_top(p->current->vals + offset);
+ if (!offset) {
+ offset = BN_CTX_POOL_SIZE - 1;
+ p->current = p->current->prev;
+ } else
+ offset--;
+ }
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_depr.c b/Cryptlib/OpenSSL/crypto/bn/bn_depr.c
index 27535e4f..34895f59 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_depr.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_depr.c
@@ -7,7 +7,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -53,8 +53,10 @@
*
*/
-/* Support for deprecated functions goes here - static linkage will only slurp
- * this code if applications are using them directly. */
+/*
+ * Support for deprecated functions goes here - static linkage will only
+ * slurp this code if applications are using them directly.
+ */
#include <stdio.h>
#include <time.h>
@@ -62,51 +64,52 @@
#include "bn_lcl.h"
#include <openssl/rand.h>
-static void *dummy=&dummy;
+static void *dummy = &dummy;
#ifndef OPENSSL_NO_DEPRECATED
BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
- const BIGNUM *add, const BIGNUM *rem,
- void (*callback)(int,int,void *), void *cb_arg)
- {
- BN_GENCB cb;
- BIGNUM *rnd=NULL;
- int found = 0;
+ const BIGNUM *add, const BIGNUM *rem,
+ void (*callback) (int, int, void *), void *cb_arg)
+{
+ BN_GENCB cb;
+ BIGNUM *rnd = NULL;
+ int found = 0;
- BN_GENCB_set_old(&cb, callback, cb_arg);
+ BN_GENCB_set_old(&cb, callback, cb_arg);
- if (ret == NULL)
- {
- if ((rnd=BN_new()) == NULL) goto err;
- }
- else
- rnd=ret;
- if(!BN_generate_prime_ex(rnd, bits, safe, add, rem, &cb))
- goto err;
+ if (ret == NULL) {
+ if ((rnd = BN_new()) == NULL)
+ goto err;
+ } else
+ rnd = ret;
+ if (!BN_generate_prime_ex(rnd, bits, safe, add, rem, &cb))
+ goto err;
- /* we have a prime :-) */
- found = 1;
-err:
- if (!found && (ret == NULL) && (rnd != NULL)) BN_free(rnd);
- return(found ? rnd : NULL);
- }
+ /* we have a prime :-) */
+ found = 1;
+ err:
+ if (!found && (ret == NULL) && (rnd != NULL))
+ BN_free(rnd);
+ return (found ? rnd : NULL);
+}
-int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int,int,void *),
- BN_CTX *ctx_passed, void *cb_arg)
- {
- BN_GENCB cb;
- BN_GENCB_set_old(&cb, callback, cb_arg);
- return BN_is_prime_ex(a, checks, ctx_passed, &cb);
- }
+int BN_is_prime(const BIGNUM *a, int checks,
+ void (*callback) (int, int, void *), BN_CTX *ctx_passed,
+ void *cb_arg)
+{
+ BN_GENCB cb;
+ BN_GENCB_set_old(&cb, callback, cb_arg);
+ return BN_is_prime_ex(a, checks, ctx_passed, &cb);
+}
int BN_is_prime_fasttest(const BIGNUM *a, int checks,
- void (*callback)(int,int,void *),
- BN_CTX *ctx_passed, void *cb_arg,
- int do_trial_division)
- {
- BN_GENCB cb;
- BN_GENCB_set_old(&cb, callback, cb_arg);
- return BN_is_prime_fasttest_ex(a, checks, ctx_passed,
- do_trial_division, &cb);
- }
+ void (*callback) (int, int, void *),
+ BN_CTX *ctx_passed, void *cb_arg,
+ int do_trial_division)
+{
+ BN_GENCB cb;
+ BN_GENCB_set_old(&cb, callback, cb_arg);
+ return BN_is_prime_fasttest_ex(a, checks, ctx_passed,
+ do_trial_division, &cb);
+}
#endif
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_div.c b/Cryptlib/OpenSSL/crypto/bn/bn_div.c
index 78c65071..836e046a 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_div.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_div.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,77 +61,86 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-
/* The old slow way */
#if 0
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
- BN_CTX *ctx)
- {
- int i,nm,nd;
- int ret = 0;
- BIGNUM *D;
-
- bn_check_top(m);
- bn_check_top(d);
- if (BN_is_zero(d))
- {
- BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO);
- return(0);
- }
-
- if (BN_ucmp(m,d) < 0)
- {
- if (rem != NULL)
- { if (BN_copy(rem,m) == NULL) return(0); }
- if (dv != NULL) BN_zero(dv);
- return(1);
- }
-
- BN_CTX_start(ctx);
- D = BN_CTX_get(ctx);
- if (dv == NULL) dv = BN_CTX_get(ctx);
- if (rem == NULL) rem = BN_CTX_get(ctx);
- if (D == NULL || dv == NULL || rem == NULL)
- goto end;
-
- nd=BN_num_bits(d);
- nm=BN_num_bits(m);
- if (BN_copy(D,d) == NULL) goto end;
- if (BN_copy(rem,m) == NULL) goto end;
-
- /* The next 2 are needed so we can do a dv->d[0]|=1 later
- * since BN_lshift1 will only work once there is a value :-) */
- BN_zero(dv);
- if(bn_wexpand(dv,1) == NULL) goto end;
- dv->top=1;
-
- if (!BN_lshift(D,D,nm-nd)) goto end;
- for (i=nm-nd; i>=0; i--)
- {
- if (!BN_lshift1(dv,dv)) goto end;
- if (BN_ucmp(rem,D) >= 0)
- {
- dv->d[0]|=1;
- if (!BN_usub(rem,rem,D)) goto end;
- }
+ BN_CTX *ctx)
+{
+ int i, nm, nd;
+ int ret = 0;
+ BIGNUM *D;
+
+ bn_check_top(m);
+ bn_check_top(d);
+ if (BN_is_zero(d)) {
+ BNerr(BN_F_BN_DIV, BN_R_DIV_BY_ZERO);
+ return (0);
+ }
+
+ if (BN_ucmp(m, d) < 0) {
+ if (rem != NULL) {
+ if (BN_copy(rem, m) == NULL)
+ return (0);
+ }
+ if (dv != NULL)
+ BN_zero(dv);
+ return (1);
+ }
+
+ BN_CTX_start(ctx);
+ D = BN_CTX_get(ctx);
+ if (dv == NULL)
+ dv = BN_CTX_get(ctx);
+ if (rem == NULL)
+ rem = BN_CTX_get(ctx);
+ if (D == NULL || dv == NULL || rem == NULL)
+ goto end;
+
+ nd = BN_num_bits(d);
+ nm = BN_num_bits(m);
+ if (BN_copy(D, d) == NULL)
+ goto end;
+ if (BN_copy(rem, m) == NULL)
+ goto end;
+
+ /*
+ * The next 2 are needed so we can do a dv->d[0]|=1 later since
+ * BN_lshift1 will only work once there is a value :-)
+ */
+ BN_zero(dv);
+ if (bn_wexpand(dv, 1) == NULL)
+ goto end;
+ dv->top = 1;
+
+ if (!BN_lshift(D, D, nm - nd))
+ goto end;
+ for (i = nm - nd; i >= 0; i--) {
+ if (!BN_lshift1(dv, dv))
+ goto end;
+ if (BN_ucmp(rem, D) >= 0) {
+ dv->d[0] |= 1;
+ if (!BN_usub(rem, rem, D))
+ goto end;
+ }
/* CAN IMPROVE (and have now :=) */
- if (!BN_rshift1(D,D)) goto end;
- }
- rem->neg=BN_is_zero(rem)?0:m->neg;
- dv->neg=m->neg^d->neg;
- ret = 1;
+ if (!BN_rshift1(D, D))
+ goto end;
+ }
+ rem->neg = BN_is_zero(rem) ? 0 : m->neg;
+ dv->neg = m->neg ^ d->neg;
+ ret = 1;
end:
- BN_CTX_end(ctx);
- return(ret);
- }
+ BN_CTX_end(ctx);
+ return (ret);
+}
#else
-#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \
+# if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \
&& !defined(PEDANTIC) && !defined(BN_DIV3W)
-# if defined(__GNUC__) && __GNUC__>=2
-# if defined(__i386) || defined (__i386__)
- /*
+# if defined(__GNUC__) && __GNUC__>=2
+# if defined(__i386) || defined (__i386__)
+ /*-
* There were two reasons for implementing this template:
* - GNU C generates a call to a function (__udivdi3 to be exact)
* in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to
@@ -139,37 +148,37 @@ int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
* - divl doesn't only calculate quotient, but also leaves
* remainder in %edx which we can definitely use here:-)
*
- * <appro@fy.chalmers.se>
+ * <appro@fy.chalmers.se>
*/
-# define bn_div_words(n0,n1,d0) \
- ({ asm volatile ( \
- "divl %4" \
- : "=a"(q), "=d"(rem) \
- : "a"(n1), "d"(n0), "g"(d0) \
- : "cc"); \
- q; \
- })
-# define REMAINDER_IS_ALREADY_CALCULATED
-# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
+# define bn_div_words(n0,n1,d0) \
+ ({ asm volatile ( \
+ "divl %4" \
+ : "=a"(q), "=d"(rem) \
+ : "a"(n1), "d"(n0), "g"(d0) \
+ : "cc"); \
+ q; \
+ })
+# define REMAINDER_IS_ALREADY_CALCULATED
+# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
/*
* Same story here, but it's 128-bit by 64-bit division. Wow!
- * <appro@fy.chalmers.se>
+ * <appro@fy.chalmers.se>
*/
-# define bn_div_words(n0,n1,d0) \
- ({ asm volatile ( \
- "divq %4" \
- : "=a"(q), "=d"(rem) \
- : "a"(n1), "d"(n0), "g"(d0) \
- : "cc"); \
- q; \
- })
-# define REMAINDER_IS_ALREADY_CALCULATED
-# endif /* __<cpu> */
-# endif /* __GNUC__ */
-#endif /* OPENSSL_NO_ASM */
-
-
-/* BN_div[_no_branch] computes dv := num / divisor, rounding towards
+# define bn_div_words(n0,n1,d0) \
+ ({ asm volatile ( \
+ "divq %4" \
+ : "=a"(q), "=d"(rem) \
+ : "a"(n1), "d"(n0), "g"(d0) \
+ : "cc"); \
+ q; \
+ })
+# define REMAINDER_IS_ALREADY_CALCULATED
+# endif /* __<cpu> */
+# endif /* __GNUC__ */
+# endif /* OPENSSL_NO_ASM */
+
+/*-
+ * BN_div[_no_branch] computes dv := num / divisor, rounding towards
* zero, and sets up rm such that dv*divisor + rm = num holds.
* Thus:
* dv->neg == num->neg ^ divisor->neg (unless the result is zero)
@@ -177,474 +186,506 @@ int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
* If 'dv' or 'rm' is NULL, the respective value is not returned.
*/
static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
- const BIGNUM *divisor, BN_CTX *ctx);
+ const BIGNUM *divisor, BN_CTX *ctx);
int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
- BN_CTX *ctx)
- {
- int norm_shift,i,loop;
- BIGNUM *tmp,wnum,*snum,*sdiv,*res;
- BN_ULONG *resp,*wnump;
- BN_ULONG d0,d1;
- int num_n,div_n;
-
- /* Invalid zero-padding would have particularly bad consequences
- * in the case of 'num', so don't just rely on bn_check_top() for this one
- * (bn_check_top() works only for BN_DEBUG builds) */
- if (num->top > 0 && num->d[num->top - 1] == 0)
- {
- BNerr(BN_F_BN_DIV,BN_R_NOT_INITIALIZED);
- return 0;
- }
-
- bn_check_top(num);
-
- if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0))
- {
- return BN_div_no_branch(dv, rm, num, divisor, ctx);
- }
-
- bn_check_top(dv);
- bn_check_top(rm);
- /* bn_check_top(num); */ /* 'num' has been checked already */
- bn_check_top(divisor);
-
- if (BN_is_zero(divisor))
- {
- BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO);
- return(0);
- }
-
- if (BN_ucmp(num,divisor) < 0)
- {
- if (rm != NULL)
- { if (BN_copy(rm,num) == NULL) return(0); }
- if (dv != NULL) BN_zero(dv);
- return(1);
- }
-
- BN_CTX_start(ctx);
- tmp=BN_CTX_get(ctx);
- snum=BN_CTX_get(ctx);
- sdiv=BN_CTX_get(ctx);
- if (dv == NULL)
- res=BN_CTX_get(ctx);
- else res=dv;
- if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL)
- goto err;
-
- /* First we normalise the numbers */
- norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2);
- if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err;
- sdiv->neg=0;
- norm_shift+=BN_BITS2;
- if (!(BN_lshift(snum,num,norm_shift))) goto err;
- snum->neg=0;
- div_n=sdiv->top;
- num_n=snum->top;
- loop=num_n-div_n;
- /* Lets setup a 'window' into snum
- * This is the part that corresponds to the current
- * 'area' being divided */
- wnum.neg = 0;
- wnum.d = &(snum->d[loop]);
- wnum.top = div_n;
- /* only needed when BN_ucmp messes up the values between top and max */
- wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
-
- /* Get the top 2 words of sdiv */
- /* div_n=sdiv->top; */
- d0=sdiv->d[div_n-1];
- d1=(div_n == 1)?0:sdiv->d[div_n-2];
-
- /* pointer to the 'top' of snum */
- wnump= &(snum->d[num_n-1]);
-
- /* Setup to 'res' */
- res->neg= (num->neg^divisor->neg);
- if (!bn_wexpand(res,(loop+1))) goto err;
- res->top=loop;
- resp= &(res->d[loop-1]);
-
- /* space for temp */
- if (!bn_wexpand(tmp,(div_n+1))) goto err;
-
- if (BN_ucmp(&wnum,sdiv) >= 0)
- {
- /* If BN_DEBUG_RAND is defined BN_ucmp changes (via
- * bn_pollute) the const bignum arguments =>
- * clean the values between top and max again */
- bn_clear_top2max(&wnum);
- bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n);
- *resp=1;
- }
- else
- res->top--;
- /* if res->top == 0 then clear the neg value otherwise decrease
- * the resp pointer */
- if (res->top == 0)
- res->neg = 0;
- else
- resp--;
-
- for (i=0; i<loop-1; i++, wnump--, resp--)
- {
- BN_ULONG q,l0;
- /* the first part of the loop uses the top two words of
- * snum and sdiv to calculate a BN_ULONG q such that
- * | wnum - sdiv * q | < sdiv */
-#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
- BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG);
- q=bn_div_3_words(wnump,d1,d0);
-#else
- BN_ULONG n0,n1,rem=0;
-
- n0=wnump[0];
- n1=wnump[-1];
- if (n0 == d0)
- q=BN_MASK2;
- else /* n0 < d0 */
- {
-#ifdef BN_LLONG
- BN_ULLONG t2;
-
-#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
- q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
-#else
- q=bn_div_words(n0,n1,d0);
-#ifdef BN_DEBUG_LEVITTE
- fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
-X) -> 0x%08X\n",
- n0, n1, d0, q);
-#endif
-#endif
-
-#ifndef REMAINDER_IS_ALREADY_CALCULATED
- /*
- * rem doesn't have to be BN_ULLONG. The least we
- * know it's less that d0, isn't it?
- */
- rem=(n1-q*d0)&BN_MASK2;
-#endif
- t2=(BN_ULLONG)d1*q;
-
- for (;;)
- {
- if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
- break;
- q--;
- rem += d0;
- if (rem < d0) break; /* don't let rem overflow */
- t2 -= d1;
- }
-#else /* !BN_LLONG */
- BN_ULONG t2l,t2h;
-#if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH)
- BN_ULONG ql,qh;
-#endif
-
- q=bn_div_words(n0,n1,d0);
-#ifdef BN_DEBUG_LEVITTE
- fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
-X) -> 0x%08X\n",
- n0, n1, d0, q);
-#endif
-#ifndef REMAINDER_IS_ALREADY_CALCULATED
- rem=(n1-q*d0)&BN_MASK2;
-#endif
-
-#if defined(BN_UMULT_LOHI)
- BN_UMULT_LOHI(t2l,t2h,d1,q);
-#elif defined(BN_UMULT_HIGH)
- t2l = d1 * q;
- t2h = BN_UMULT_HIGH(d1,q);
-#else
- t2l=LBITS(d1); t2h=HBITS(d1);
- ql =LBITS(q); qh =HBITS(q);
- mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
-#endif
-
- for (;;)
- {
- if ((t2h < rem) ||
- ((t2h == rem) && (t2l <= wnump[-2])))
- break;
- q--;
- rem += d0;
- if (rem < d0) break; /* don't let rem overflow */
- if (t2l < d1) t2h--; t2l -= d1;
- }
-#endif /* !BN_LLONG */
- }
-#endif /* !BN_DIV3W */
-
- l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
- tmp->d[div_n]=l0;
- wnum.d--;
- /* ingore top values of the bignums just sub the two
- * BN_ULONG arrays with bn_sub_words */
- if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1))
- {
- /* Note: As we have considered only the leading
- * two BN_ULONGs in the calculation of q, sdiv * q
- * might be greater than wnum (but then (q-1) * sdiv
- * is less or equal than wnum)
- */
- q--;
- if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
- /* we can't have an overflow here (assuming
- * that q != 0, but if q == 0 then tmp is
- * zero anyway) */
- (*wnump)++;
- }
- /* store part of the result */
- *resp = q;
- }
- bn_correct_top(snum);
- if (rm != NULL)
- {
- /* Keep a copy of the neg flag in num because if rm==num
- * BN_rshift() will overwrite it.
- */
- int neg = num->neg;
- BN_rshift(rm,snum,norm_shift);
- if (!BN_is_zero(rm))
- rm->neg = neg;
- bn_check_top(rm);
- }
- BN_CTX_end(ctx);
- return(1);
-err:
- bn_check_top(rm);
- BN_CTX_end(ctx);
- return(0);
- }
-
-
-/* BN_div_no_branch is a special version of BN_div. It does not contain
+ BN_CTX *ctx)
+{
+ int norm_shift, i, loop;
+ BIGNUM *tmp, wnum, *snum, *sdiv, *res;
+ BN_ULONG *resp, *wnump;
+ BN_ULONG d0, d1;
+ int num_n, div_n;
+
+ /*
+ * Invalid zero-padding would have particularly bad consequences in the
+ * case of 'num', so don't just rely on bn_check_top() for this one
+ * (bn_check_top() works only for BN_DEBUG builds)
+ */
+ if (num->top > 0 && num->d[num->top - 1] == 0) {
+ BNerr(BN_F_BN_DIV, BN_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ bn_check_top(num);
+
+ if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0)
+ || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) {
+ return BN_div_no_branch(dv, rm, num, divisor, ctx);
+ }
+
+ bn_check_top(dv);
+ bn_check_top(rm);
+ /*- bn_check_top(num); *//*
+ * 'num' has been checked already
+ */
+ bn_check_top(divisor);
+
+ if (BN_is_zero(divisor)) {
+ BNerr(BN_F_BN_DIV, BN_R_DIV_BY_ZERO);
+ return (0);
+ }
+
+ if (BN_ucmp(num, divisor) < 0) {
+ if (rm != NULL) {
+ if (BN_copy(rm, num) == NULL)
+ return (0);
+ }
+ if (dv != NULL)
+ BN_zero(dv);
+ return (1);
+ }
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ snum = BN_CTX_get(ctx);
+ sdiv = BN_CTX_get(ctx);
+ if (dv == NULL)
+ res = BN_CTX_get(ctx);
+ else
+ res = dv;
+ if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL)
+ goto err;
+
+ /* First we normalise the numbers */
+ norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
+ if (!(BN_lshift(sdiv, divisor, norm_shift)))
+ goto err;
+ sdiv->neg = 0;
+ norm_shift += BN_BITS2;
+ if (!(BN_lshift(snum, num, norm_shift)))
+ goto err;
+ snum->neg = 0;
+ div_n = sdiv->top;
+ num_n = snum->top;
+ loop = num_n - div_n;
+ /*
+ * Lets setup a 'window' into snum This is the part that corresponds to
+ * the current 'area' being divided
+ */
+ wnum.neg = 0;
+ wnum.d = &(snum->d[loop]);
+ wnum.top = div_n;
+ /*
+ * only needed when BN_ucmp messes up the values between top and max
+ */
+ wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
+
+ /* Get the top 2 words of sdiv */
+ /* div_n=sdiv->top; */
+ d0 = sdiv->d[div_n - 1];
+ d1 = (div_n == 1) ? 0 : sdiv->d[div_n - 2];
+
+ /* pointer to the 'top' of snum */
+ wnump = &(snum->d[num_n - 1]);
+
+ /* Setup to 'res' */
+ res->neg = (num->neg ^ divisor->neg);
+ if (!bn_wexpand(res, (loop + 1)))
+ goto err;
+ res->top = loop;
+ resp = &(res->d[loop - 1]);
+
+ /* space for temp */
+ if (!bn_wexpand(tmp, (div_n + 1)))
+ goto err;
+
+ if (BN_ucmp(&wnum, sdiv) >= 0) {
+ /*
+ * If BN_DEBUG_RAND is defined BN_ucmp changes (via bn_pollute) the
+ * const bignum arguments => clean the values between top and max
+ * again
+ */
+ bn_clear_top2max(&wnum);
+ bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n);
+ *resp = 1;
+ } else
+ res->top--;
+ /*
+ * if res->top == 0 then clear the neg value otherwise decrease the resp
+ * pointer
+ */
+ if (res->top == 0)
+ res->neg = 0;
+ else
+ resp--;
+
+ for (i = 0; i < loop - 1; i++, wnump--, resp--) {
+ BN_ULONG q, l0;
+ /*
+ * the first part of the loop uses the top two words of snum and sdiv
+ * to calculate a BN_ULONG q such that | wnum - sdiv * q | < sdiv
+ */
+# if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
+ BN_ULONG bn_div_3_words(BN_ULONG *, BN_ULONG, BN_ULONG);
+ q = bn_div_3_words(wnump, d1, d0);
+# else
+ BN_ULONG n0, n1, rem = 0;
+
+ n0 = wnump[0];
+ n1 = wnump[-1];
+ if (n0 == d0)
+ q = BN_MASK2;
+ else { /* n0 < d0 */
+
+# ifdef BN_LLONG
+ BN_ULLONG t2;
+
+# if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
+ q = (BN_ULONG)(((((BN_ULLONG) n0) << BN_BITS2) | n1) / d0);
+# else
+ q = bn_div_words(n0, n1, d0);
+# ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n", n0, n1, d0, q);
+# endif
+# endif
+
+# ifndef REMAINDER_IS_ALREADY_CALCULATED
+ /*
+ * rem doesn't have to be BN_ULLONG. The least we
+ * know it's less that d0, isn't it?
+ */
+ rem = (n1 - q * d0) & BN_MASK2;
+# endif
+ t2 = (BN_ULLONG) d1 *q;
+
+ for (;;) {
+ if (t2 <= ((((BN_ULLONG) rem) << BN_BITS2) | wnump[-2]))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0)
+ break; /* don't let rem overflow */
+ t2 -= d1;
+ }
+# else /* !BN_LLONG */
+ BN_ULONG t2l, t2h;
+# if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH)
+ BN_ULONG ql, qh;
+# endif
+
+ q = bn_div_words(n0, n1, d0);
+# ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n", n0, n1, d0, q);
+# endif
+# ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem = (n1 - q * d0) & BN_MASK2;
+# endif
+
+# if defined(BN_UMULT_LOHI)
+ BN_UMULT_LOHI(t2l, t2h, d1, q);
+# elif defined(BN_UMULT_HIGH)
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1, q);
+# else
+ t2l = LBITS(d1);
+ t2h = HBITS(d1);
+ ql = LBITS(q);
+ qh = HBITS(q);
+ mul64(t2l, t2h, ql, qh); /* t2=(BN_ULLONG)d1*q; */
+# endif
+
+ for (;;) {
+ if ((t2h < rem) || ((t2h == rem) && (t2l <= wnump[-2])))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0)
+ break; /* don't let rem overflow */
+ if (t2l < d1)
+ t2h--;
+ t2l -= d1;
+ }
+# endif /* !BN_LLONG */
+ }
+# endif /* !BN_DIV3W */
+
+ l0 = bn_mul_words(tmp->d, sdiv->d, div_n, q);
+ tmp->d[div_n] = l0;
+ wnum.d--;
+ /*
+ * ingore top values of the bignums just sub the two BN_ULONG arrays
+ * with bn_sub_words
+ */
+ if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n + 1)) {
+ /*
+ * Note: As we have considered only the leading two BN_ULONGs in
+ * the calculation of q, sdiv * q might be greater than wnum (but
+ * then (q-1) * sdiv is less or equal than wnum)
+ */
+ q--;
+ if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
+ /*
+ * we can't have an overflow here (assuming that q != 0, but
+ * if q == 0 then tmp is zero anyway)
+ */
+ (*wnump)++;
+ }
+ /* store part of the result */
+ *resp = q;
+ }
+ bn_correct_top(snum);
+ if (rm != NULL) {
+ /*
+ * Keep a copy of the neg flag in num because if rm==num BN_rshift()
+ * will overwrite it.
+ */
+ int neg = num->neg;
+ BN_rshift(rm, snum, norm_shift);
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
+ bn_check_top(rm);
+ }
+ BN_CTX_end(ctx);
+ return (1);
+ err:
+ bn_check_top(rm);
+ BN_CTX_end(ctx);
+ return (0);
+}
+
+/*
+ * BN_div_no_branch is a special version of BN_div. It does not contain
* branches that may leak sensitive information.
*/
-static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
- const BIGNUM *divisor, BN_CTX *ctx)
- {
- int norm_shift,i,loop;
- BIGNUM *tmp,wnum,*snum,*sdiv,*res;
- BN_ULONG *resp,*wnump;
- BN_ULONG d0,d1;
- int num_n,div_n;
-
- bn_check_top(dv);
- bn_check_top(rm);
- /* bn_check_top(num); */ /* 'num' has been checked in BN_div() */
- bn_check_top(divisor);
-
- if (BN_is_zero(divisor))
- {
- BNerr(BN_F_BN_DIV_NO_BRANCH,BN_R_DIV_BY_ZERO);
- return(0);
- }
-
- BN_CTX_start(ctx);
- tmp=BN_CTX_get(ctx);
- snum=BN_CTX_get(ctx);
- sdiv=BN_CTX_get(ctx);
- if (dv == NULL)
- res=BN_CTX_get(ctx);
- else res=dv;
- if (sdiv == NULL || res == NULL) goto err;
-
- /* First we normalise the numbers */
- norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2);
- if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err;
- sdiv->neg=0;
- norm_shift+=BN_BITS2;
- if (!(BN_lshift(snum,num,norm_shift))) goto err;
- snum->neg=0;
-
- /* Since we don't know whether snum is larger than sdiv,
- * we pad snum with enough zeroes without changing its
- * value.
- */
- if (snum->top <= sdiv->top+1)
- {
- if (bn_wexpand(snum, sdiv->top + 2) == NULL) goto err;
- for (i = snum->top; i < sdiv->top + 2; i++) snum->d[i] = 0;
- snum->top = sdiv->top + 2;
- }
- else
- {
- if (bn_wexpand(snum, snum->top + 1) == NULL) goto err;
- snum->d[snum->top] = 0;
- snum->top ++;
- }
-
- div_n=sdiv->top;
- num_n=snum->top;
- loop=num_n-div_n;
- /* Lets setup a 'window' into snum
- * This is the part that corresponds to the current
- * 'area' being divided */
- wnum.neg = 0;
- wnum.d = &(snum->d[loop]);
- wnum.top = div_n;
- /* only needed when BN_ucmp messes up the values between top and max */
- wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
-
- /* Get the top 2 words of sdiv */
- /* div_n=sdiv->top; */
- d0=sdiv->d[div_n-1];
- d1=(div_n == 1)?0:sdiv->d[div_n-2];
-
- /* pointer to the 'top' of snum */
- wnump= &(snum->d[num_n-1]);
-
- /* Setup to 'res' */
- res->neg= (num->neg^divisor->neg);
- if (!bn_wexpand(res,(loop+1))) goto err;
- res->top=loop-1;
- resp= &(res->d[loop-1]);
-
- /* space for temp */
- if (!bn_wexpand(tmp,(div_n+1))) goto err;
-
- /* if res->top == 0 then clear the neg value otherwise decrease
- * the resp pointer */
- if (res->top == 0)
- res->neg = 0;
- else
- resp--;
-
- for (i=0; i<loop-1; i++, wnump--, resp--)
- {
- BN_ULONG q,l0;
- /* the first part of the loop uses the top two words of
- * snum and sdiv to calculate a BN_ULONG q such that
- * | wnum - sdiv * q | < sdiv */
-#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
- BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG);
- q=bn_div_3_words(wnump,d1,d0);
-#else
- BN_ULONG n0,n1,rem=0;
-
- n0=wnump[0];
- n1=wnump[-1];
- if (n0 == d0)
- q=BN_MASK2;
- else /* n0 < d0 */
- {
-#ifdef BN_LLONG
- BN_ULLONG t2;
-
-#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
- q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
-#else
- q=bn_div_words(n0,n1,d0);
-#ifdef BN_DEBUG_LEVITTE
- fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
-X) -> 0x%08X\n",
- n0, n1, d0, q);
-#endif
-#endif
-
-#ifndef REMAINDER_IS_ALREADY_CALCULATED
- /*
- * rem doesn't have to be BN_ULLONG. The least we
- * know it's less that d0, isn't it?
- */
- rem=(n1-q*d0)&BN_MASK2;
-#endif
- t2=(BN_ULLONG)d1*q;
-
- for (;;)
- {
- if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
- break;
- q--;
- rem += d0;
- if (rem < d0) break; /* don't let rem overflow */
- t2 -= d1;
- }
-#else /* !BN_LLONG */
- BN_ULONG t2l,t2h;
-#if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH)
- BN_ULONG ql,qh;
-#endif
-
- q=bn_div_words(n0,n1,d0);
-#ifdef BN_DEBUG_LEVITTE
- fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
-X) -> 0x%08X\n",
- n0, n1, d0, q);
-#endif
-#ifndef REMAINDER_IS_ALREADY_CALCULATED
- rem=(n1-q*d0)&BN_MASK2;
-#endif
-
-#if defined(BN_UMULT_LOHI)
- BN_UMULT_LOHI(t2l,t2h,d1,q);
-#elif defined(BN_UMULT_HIGH)
- t2l = d1 * q;
- t2h = BN_UMULT_HIGH(d1,q);
-#else
- t2l=LBITS(d1); t2h=HBITS(d1);
- ql =LBITS(q); qh =HBITS(q);
- mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
-#endif
-
- for (;;)
- {
- if ((t2h < rem) ||
- ((t2h == rem) && (t2l <= wnump[-2])))
- break;
- q--;
- rem += d0;
- if (rem < d0) break; /* don't let rem overflow */
- if (t2l < d1) t2h--; t2l -= d1;
- }
-#endif /* !BN_LLONG */
- }
-#endif /* !BN_DIV3W */
-
- l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
- tmp->d[div_n]=l0;
- wnum.d--;
- /* ingore top values of the bignums just sub the two
- * BN_ULONG arrays with bn_sub_words */
- if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1))
- {
- /* Note: As we have considered only the leading
- * two BN_ULONGs in the calculation of q, sdiv * q
- * might be greater than wnum (but then (q-1) * sdiv
- * is less or equal than wnum)
- */
- q--;
- if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
- /* we can't have an overflow here (assuming
- * that q != 0, but if q == 0 then tmp is
- * zero anyway) */
- (*wnump)++;
- }
- /* store part of the result */
- *resp = q;
- }
- bn_correct_top(snum);
- if (rm != NULL)
- {
- /* Keep a copy of the neg flag in num because if rm==num
- * BN_rshift() will overwrite it.
- */
- int neg = num->neg;
- BN_rshift(rm,snum,norm_shift);
- if (!BN_is_zero(rm))
- rm->neg = neg;
- bn_check_top(rm);
- }
- bn_correct_top(res);
- BN_CTX_end(ctx);
- return(1);
-err:
- bn_check_top(rm);
- BN_CTX_end(ctx);
- return(0);
- }
+static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
+ const BIGNUM *divisor, BN_CTX *ctx)
+{
+ int norm_shift, i, loop;
+ BIGNUM *tmp, wnum, *snum, *sdiv, *res;
+ BN_ULONG *resp, *wnump;
+ BN_ULONG d0, d1;
+ int num_n, div_n;
+
+ bn_check_top(dv);
+ bn_check_top(rm);
+ /*- bn_check_top(num); *//*
+ * 'num' has been checked in BN_div()
+ */
+ bn_check_top(divisor);
+
+ if (BN_is_zero(divisor)) {
+ BNerr(BN_F_BN_DIV_NO_BRANCH, BN_R_DIV_BY_ZERO);
+ return (0);
+ }
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ snum = BN_CTX_get(ctx);
+ sdiv = BN_CTX_get(ctx);
+ if (dv == NULL)
+ res = BN_CTX_get(ctx);
+ else
+ res = dv;
+ if (sdiv == NULL || res == NULL)
+ goto err;
+
+ /* First we normalise the numbers */
+ norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
+ if (!(BN_lshift(sdiv, divisor, norm_shift)))
+ goto err;
+ sdiv->neg = 0;
+ norm_shift += BN_BITS2;
+ if (!(BN_lshift(snum, num, norm_shift)))
+ goto err;
+ snum->neg = 0;
+
+ /*
+ * Since we don't know whether snum is larger than sdiv, we pad snum with
+ * enough zeroes without changing its value.
+ */
+ if (snum->top <= sdiv->top + 1) {
+ if (bn_wexpand(snum, sdiv->top + 2) == NULL)
+ goto err;
+ for (i = snum->top; i < sdiv->top + 2; i++)
+ snum->d[i] = 0;
+ snum->top = sdiv->top + 2;
+ } else {
+ if (bn_wexpand(snum, snum->top + 1) == NULL)
+ goto err;
+ snum->d[snum->top] = 0;
+ snum->top++;
+ }
+
+ div_n = sdiv->top;
+ num_n = snum->top;
+ loop = num_n - div_n;
+ /*
+ * Lets setup a 'window' into snum This is the part that corresponds to
+ * the current 'area' being divided
+ */
+ wnum.neg = 0;
+ wnum.d = &(snum->d[loop]);
+ wnum.top = div_n;
+ /*
+ * only needed when BN_ucmp messes up the values between top and max
+ */
+ wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
+
+ /* Get the top 2 words of sdiv */
+ /* div_n=sdiv->top; */
+ d0 = sdiv->d[div_n - 1];
+ d1 = (div_n == 1) ? 0 : sdiv->d[div_n - 2];
+
+ /* pointer to the 'top' of snum */
+ wnump = &(snum->d[num_n - 1]);
+
+ /* Setup to 'res' */
+ res->neg = (num->neg ^ divisor->neg);
+ if (!bn_wexpand(res, (loop + 1)))
+ goto err;
+ res->top = loop - 1;
+ resp = &(res->d[loop - 1]);
+
+ /* space for temp */
+ if (!bn_wexpand(tmp, (div_n + 1)))
+ goto err;
+
+ /*
+ * if res->top == 0 then clear the neg value otherwise decrease the resp
+ * pointer
+ */
+ if (res->top == 0)
+ res->neg = 0;
+ else
+ resp--;
+
+ for (i = 0; i < loop - 1; i++, wnump--, resp--) {
+ BN_ULONG q, l0;
+ /*
+ * the first part of the loop uses the top two words of snum and sdiv
+ * to calculate a BN_ULONG q such that | wnum - sdiv * q | < sdiv
+ */
+# if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
+ BN_ULONG bn_div_3_words(BN_ULONG *, BN_ULONG, BN_ULONG);
+ q = bn_div_3_words(wnump, d1, d0);
+# else
+ BN_ULONG n0, n1, rem = 0;
+
+ n0 = wnump[0];
+ n1 = wnump[-1];
+ if (n0 == d0)
+ q = BN_MASK2;
+ else { /* n0 < d0 */
+
+# ifdef BN_LLONG
+ BN_ULLONG t2;
+
+# if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
+ q = (BN_ULONG)(((((BN_ULLONG) n0) << BN_BITS2) | n1) / d0);
+# else
+ q = bn_div_words(n0, n1, d0);
+# ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n", n0, n1, d0, q);
+# endif
+# endif
+
+# ifndef REMAINDER_IS_ALREADY_CALCULATED
+ /*
+ * rem doesn't have to be BN_ULLONG. The least we
+ * know it's less that d0, isn't it?
+ */
+ rem = (n1 - q * d0) & BN_MASK2;
+# endif
+ t2 = (BN_ULLONG) d1 *q;
+
+ for (;;) {
+ if (t2 <= ((((BN_ULLONG) rem) << BN_BITS2) | wnump[-2]))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0)
+ break; /* don't let rem overflow */
+ t2 -= d1;
+ }
+# else /* !BN_LLONG */
+ BN_ULONG t2l, t2h;
+# if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH)
+ BN_ULONG ql, qh;
+# endif
+
+ q = bn_div_words(n0, n1, d0);
+# ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n", n0, n1, d0, q);
+# endif
+# ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem = (n1 - q * d0) & BN_MASK2;
+# endif
+
+# if defined(BN_UMULT_LOHI)
+ BN_UMULT_LOHI(t2l, t2h, d1, q);
+# elif defined(BN_UMULT_HIGH)
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1, q);
+# else
+ t2l = LBITS(d1);
+ t2h = HBITS(d1);
+ ql = LBITS(q);
+ qh = HBITS(q);
+ mul64(t2l, t2h, ql, qh); /* t2=(BN_ULLONG)d1*q; */
+# endif
+
+ for (;;) {
+ if ((t2h < rem) || ((t2h == rem) && (t2l <= wnump[-2])))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0)
+ break; /* don't let rem overflow */
+ if (t2l < d1)
+ t2h--;
+ t2l -= d1;
+ }
+# endif /* !BN_LLONG */
+ }
+# endif /* !BN_DIV3W */
+
+ l0 = bn_mul_words(tmp->d, sdiv->d, div_n, q);
+ tmp->d[div_n] = l0;
+ wnum.d--;
+ /*
+ * ingore top values of the bignums just sub the two BN_ULONG arrays
+ * with bn_sub_words
+ */
+ if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n + 1)) {
+ /*
+ * Note: As we have considered only the leading two BN_ULONGs in
+ * the calculation of q, sdiv * q might be greater than wnum (but
+ * then (q-1) * sdiv is less or equal than wnum)
+ */
+ q--;
+ if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
+ /*
+ * we can't have an overflow here (assuming that q != 0, but
+ * if q == 0 then tmp is zero anyway)
+ */
+ (*wnump)++;
+ }
+ /* store part of the result */
+ *resp = q;
+ }
+ bn_correct_top(snum);
+ if (rm != NULL) {
+ /*
+ * Keep a copy of the neg flag in num because if rm==num BN_rshift()
+ * will overwrite it.
+ */
+ int neg = num->neg;
+ BN_rshift(rm, snum, norm_shift);
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
+ bn_check_top(rm);
+ }
+ bn_correct_top(res);
+ BN_CTX_end(ctx);
+ return (1);
+ err:
+ bn_check_top(rm);
+ BN_CTX_end(ctx);
+ return (0);
+}
#endif
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_err.c b/Cryptlib/OpenSSL/crypto/bn/bn_err.c
index cfe2eb94..faa7e226 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_err.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_err.c
@@ -7,7 +7,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -53,7 +53,8 @@
*
*/
-/* NOTE: this file was auto generated by the mkerr.pl script: any changes
+/*
+ * NOTE: this file was auto generated by the mkerr.pl script: any changes
* made to it will be overwritten when the script next updates this file,
* only reason strings will be preserved.
*/
@@ -65,86 +66,85 @@
/* BEGIN ERROR CODES */
#ifndef OPENSSL_NO_ERR
-#define ERR_FUNC(func) ERR_PACK(ERR_LIB_BN,func,0)
-#define ERR_REASON(reason) ERR_PACK(ERR_LIB_BN,0,reason)
+# define ERR_FUNC(func) ERR_PACK(ERR_LIB_BN,func,0)
+# define ERR_REASON(reason) ERR_PACK(ERR_LIB_BN,0,reason)
-static ERR_STRING_DATA BN_str_functs[]=
- {
-{ERR_FUNC(BN_F_BNRAND), "BNRAND"},
-{ERR_FUNC(BN_F_BN_BLINDING_CONVERT_EX), "BN_BLINDING_convert_ex"},
-{ERR_FUNC(BN_F_BN_BLINDING_CREATE_PARAM), "BN_BLINDING_create_param"},
-{ERR_FUNC(BN_F_BN_BLINDING_INVERT_EX), "BN_BLINDING_invert_ex"},
-{ERR_FUNC(BN_F_BN_BLINDING_NEW), "BN_BLINDING_new"},
-{ERR_FUNC(BN_F_BN_BLINDING_UPDATE), "BN_BLINDING_update"},
-{ERR_FUNC(BN_F_BN_BN2DEC), "BN_bn2dec"},
-{ERR_FUNC(BN_F_BN_BN2HEX), "BN_bn2hex"},
-{ERR_FUNC(BN_F_BN_CTX_GET), "BN_CTX_get"},
-{ERR_FUNC(BN_F_BN_CTX_NEW), "BN_CTX_new"},
-{ERR_FUNC(BN_F_BN_CTX_START), "BN_CTX_start"},
-{ERR_FUNC(BN_F_BN_DIV), "BN_div"},
-{ERR_FUNC(BN_F_BN_DIV_NO_BRANCH), "BN_div_no_branch"},
-{ERR_FUNC(BN_F_BN_DIV_RECP), "BN_div_recp"},
-{ERR_FUNC(BN_F_BN_EXP), "BN_exp"},
-{ERR_FUNC(BN_F_BN_EXPAND2), "bn_expand2"},
-{ERR_FUNC(BN_F_BN_EXPAND_INTERNAL), "BN_EXPAND_INTERNAL"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD), "BN_GF2m_mod"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_EXP), "BN_GF2m_mod_exp"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_MUL), "BN_GF2m_mod_mul"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD), "BN_GF2m_mod_solve_quad"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR), "BN_GF2m_mod_solve_quad_arr"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_SQR), "BN_GF2m_mod_sqr"},
-{ERR_FUNC(BN_F_BN_GF2M_MOD_SQRT), "BN_GF2m_mod_sqrt"},
-{ERR_FUNC(BN_F_BN_MOD_EXP2_MONT), "BN_mod_exp2_mont"},
-{ERR_FUNC(BN_F_BN_MOD_EXP_MONT), "BN_mod_exp_mont"},
-{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_CONSTTIME), "BN_mod_exp_mont_consttime"},
-{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_WORD), "BN_mod_exp_mont_word"},
-{ERR_FUNC(BN_F_BN_MOD_EXP_RECP), "BN_mod_exp_recp"},
-{ERR_FUNC(BN_F_BN_MOD_EXP_SIMPLE), "BN_mod_exp_simple"},
-{ERR_FUNC(BN_F_BN_MOD_INVERSE), "BN_mod_inverse"},
-{ERR_FUNC(BN_F_BN_MOD_INVERSE_NO_BRANCH), "BN_mod_inverse_no_branch"},
-{ERR_FUNC(BN_F_BN_MOD_LSHIFT_QUICK), "BN_mod_lshift_quick"},
-{ERR_FUNC(BN_F_BN_MOD_MUL_RECIPROCAL), "BN_mod_mul_reciprocal"},
-{ERR_FUNC(BN_F_BN_MOD_SQRT), "BN_mod_sqrt"},
-{ERR_FUNC(BN_F_BN_MPI2BN), "BN_mpi2bn"},
-{ERR_FUNC(BN_F_BN_NEW), "BN_new"},
-{ERR_FUNC(BN_F_BN_RAND), "BN_rand"},
-{ERR_FUNC(BN_F_BN_RAND_RANGE), "BN_rand_range"},
-{ERR_FUNC(BN_F_BN_USUB), "BN_usub"},
-{0,NULL}
- };
+static ERR_STRING_DATA BN_str_functs[] = {
+ {ERR_FUNC(BN_F_BNRAND), "BNRAND"},
+ {ERR_FUNC(BN_F_BN_BLINDING_CONVERT_EX), "BN_BLINDING_convert_ex"},
+ {ERR_FUNC(BN_F_BN_BLINDING_CREATE_PARAM), "BN_BLINDING_create_param"},
+ {ERR_FUNC(BN_F_BN_BLINDING_INVERT_EX), "BN_BLINDING_invert_ex"},
+ {ERR_FUNC(BN_F_BN_BLINDING_NEW), "BN_BLINDING_new"},
+ {ERR_FUNC(BN_F_BN_BLINDING_UPDATE), "BN_BLINDING_update"},
+ {ERR_FUNC(BN_F_BN_BN2DEC), "BN_bn2dec"},
+ {ERR_FUNC(BN_F_BN_BN2HEX), "BN_bn2hex"},
+ {ERR_FUNC(BN_F_BN_CTX_GET), "BN_CTX_get"},
+ {ERR_FUNC(BN_F_BN_CTX_NEW), "BN_CTX_new"},
+ {ERR_FUNC(BN_F_BN_CTX_START), "BN_CTX_start"},
+ {ERR_FUNC(BN_F_BN_DIV), "BN_div"},
+ {ERR_FUNC(BN_F_BN_DIV_NO_BRANCH), "BN_div_no_branch"},
+ {ERR_FUNC(BN_F_BN_DIV_RECP), "BN_div_recp"},
+ {ERR_FUNC(BN_F_BN_EXP), "BN_exp"},
+ {ERR_FUNC(BN_F_BN_EXPAND2), "bn_expand2"},
+ {ERR_FUNC(BN_F_BN_EXPAND_INTERNAL), "BN_EXPAND_INTERNAL"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD), "BN_GF2m_mod"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_EXP), "BN_GF2m_mod_exp"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_MUL), "BN_GF2m_mod_mul"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD), "BN_GF2m_mod_solve_quad"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR), "BN_GF2m_mod_solve_quad_arr"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_SQR), "BN_GF2m_mod_sqr"},
+ {ERR_FUNC(BN_F_BN_GF2M_MOD_SQRT), "BN_GF2m_mod_sqrt"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP2_MONT), "BN_mod_exp2_mont"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP_MONT), "BN_mod_exp_mont"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP_MONT_CONSTTIME), "BN_mod_exp_mont_consttime"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP_MONT_WORD), "BN_mod_exp_mont_word"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP_RECP), "BN_mod_exp_recp"},
+ {ERR_FUNC(BN_F_BN_MOD_EXP_SIMPLE), "BN_mod_exp_simple"},
+ {ERR_FUNC(BN_F_BN_MOD_INVERSE), "BN_mod_inverse"},
+ {ERR_FUNC(BN_F_BN_MOD_INVERSE_NO_BRANCH), "BN_mod_inverse_no_branch"},
+ {ERR_FUNC(BN_F_BN_MOD_LSHIFT_QUICK), "BN_mod_lshift_quick"},
+ {ERR_FUNC(BN_F_BN_MOD_MUL_RECIPROCAL), "BN_mod_mul_reciprocal"},
+ {ERR_FUNC(BN_F_BN_MOD_SQRT), "BN_mod_sqrt"},
+ {ERR_FUNC(BN_F_BN_MPI2BN), "BN_mpi2bn"},
+ {ERR_FUNC(BN_F_BN_NEW), "BN_new"},
+ {ERR_FUNC(BN_F_BN_RAND), "BN_rand"},
+ {ERR_FUNC(BN_F_BN_RAND_RANGE), "BN_rand_range"},
+ {ERR_FUNC(BN_F_BN_USUB), "BN_usub"},
+ {0, NULL}
+};
-static ERR_STRING_DATA BN_str_reasons[]=
- {
-{ERR_REASON(BN_R_ARG2_LT_ARG3) ,"arg2 lt arg3"},
-{ERR_REASON(BN_R_BAD_RECIPROCAL) ,"bad reciprocal"},
-{ERR_REASON(BN_R_BIGNUM_TOO_LONG) ,"bignum too long"},
-{ERR_REASON(BN_R_CALLED_WITH_EVEN_MODULUS),"called with even modulus"},
-{ERR_REASON(BN_R_DIV_BY_ZERO) ,"div by zero"},
-{ERR_REASON(BN_R_ENCODING_ERROR) ,"encoding error"},
-{ERR_REASON(BN_R_EXPAND_ON_STATIC_BIGNUM_DATA),"expand on static bignum data"},
-{ERR_REASON(BN_R_INPUT_NOT_REDUCED) ,"input not reduced"},
-{ERR_REASON(BN_R_INVALID_LENGTH) ,"invalid length"},
-{ERR_REASON(BN_R_INVALID_RANGE) ,"invalid range"},
-{ERR_REASON(BN_R_NOT_A_SQUARE) ,"not a square"},
-{ERR_REASON(BN_R_NOT_INITIALIZED) ,"not initialized"},
-{ERR_REASON(BN_R_NO_INVERSE) ,"no inverse"},
-{ERR_REASON(BN_R_NO_SOLUTION) ,"no solution"},
-{ERR_REASON(BN_R_P_IS_NOT_PRIME) ,"p is not prime"},
-{ERR_REASON(BN_R_TOO_MANY_ITERATIONS) ,"too many iterations"},
-{ERR_REASON(BN_R_TOO_MANY_TEMPORARY_VARIABLES),"too many temporary variables"},
-{0,NULL}
- };
+static ERR_STRING_DATA BN_str_reasons[] = {
+ {ERR_REASON(BN_R_ARG2_LT_ARG3), "arg2 lt arg3"},
+ {ERR_REASON(BN_R_BAD_RECIPROCAL), "bad reciprocal"},
+ {ERR_REASON(BN_R_BIGNUM_TOO_LONG), "bignum too long"},
+ {ERR_REASON(BN_R_CALLED_WITH_EVEN_MODULUS), "called with even modulus"},
+ {ERR_REASON(BN_R_DIV_BY_ZERO), "div by zero"},
+ {ERR_REASON(BN_R_ENCODING_ERROR), "encoding error"},
+ {ERR_REASON(BN_R_EXPAND_ON_STATIC_BIGNUM_DATA),
+ "expand on static bignum data"},
+ {ERR_REASON(BN_R_INPUT_NOT_REDUCED), "input not reduced"},
+ {ERR_REASON(BN_R_INVALID_LENGTH), "invalid length"},
+ {ERR_REASON(BN_R_INVALID_RANGE), "invalid range"},
+ {ERR_REASON(BN_R_NOT_A_SQUARE), "not a square"},
+ {ERR_REASON(BN_R_NOT_INITIALIZED), "not initialized"},
+ {ERR_REASON(BN_R_NO_INVERSE), "no inverse"},
+ {ERR_REASON(BN_R_NO_SOLUTION), "no solution"},
+ {ERR_REASON(BN_R_P_IS_NOT_PRIME), "p is not prime"},
+ {ERR_REASON(BN_R_TOO_MANY_ITERATIONS), "too many iterations"},
+ {ERR_REASON(BN_R_TOO_MANY_TEMPORARY_VARIABLES),
+ "too many temporary variables"},
+ {0, NULL}
+};
#endif
void ERR_load_BN_strings(void)
- {
+{
#ifndef OPENSSL_NO_ERR
- if (ERR_func_error_string(BN_str_functs[0].error) == NULL)
- {
- ERR_load_strings(0,BN_str_functs);
- ERR_load_strings(0,BN_str_reasons);
- }
+ if (ERR_func_error_string(BN_str_functs[0].error) == NULL) {
+ ERR_load_strings(0, BN_str_functs);
+ ERR_load_strings(0, BN_str_reasons);
+ }
#endif
- }
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_exp.c b/Cryptlib/OpenSSL/crypto/bn/bn_exp.c
index d9b6c737..ef67843f 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_exp.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_exp.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -109,883 +109,899 @@
*
*/
-
#include "cryptlib.h"
#include "bn_lcl.h"
/* maximum precomputation table size for *variable* sliding windows */
-#define TABLE_SIZE 32
+#define TABLE_SIZE 32
/* 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;
-
- 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;
- 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(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);
- bn_check_top(r);
- return(ret);
- }
-
+{
+ 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;
+ 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(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);
+ bn_check_top(r);
+ 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);
-
- /* 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.)
- */
+ 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
- * 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))
- {
-# 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
+ /*
+ * 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)) {
+# 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_recp(r,a,p,m,ctx); }
+ {
+ ret = BN_mod_exp_recp(r, a, p, m, ctx);
+ }
#else
- { ret=BN_mod_exp_simple(r,a,p,m,ctx); }
+ {
+ ret = BN_mod_exp_simple(r, a, p, m, ctx);
+ }
#endif
- bn_check_top(r);
- return(ret);
- }
-
+ bn_check_top(r);
+ 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;
- 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;
- }
-
- bits=BN_num_bits(p);
-
- if (bits == 0)
- {
- ret = BN_one(r);
- return ret;
- }
-
- BN_CTX_start(ctx);
- aa = BN_CTX_get(ctx);
- val[0] = BN_CTX_get(ctx);
- if(!aa || !val[0]) goto err;
-
- 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
- {
- if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err;
- }
-
- if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
- if (BN_is_zero(val[0]))
- {
- BN_zero(r);
- ret = 1;
- goto err;
- }
-
- 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=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);
- BN_RECP_CTX_free(&recp);
- 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;
+ 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;
+ }
+
+ bits = BN_num_bits(p);
+
+ if (bits == 0) {
+ ret = BN_one(r);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ aa = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if (!aa || !val[0])
+ goto err;
+
+ 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 {
+ if (BN_RECP_CTX_set(&recp, m, ctx) <= 0)
+ goto err;
+ }
+
+ if (!BN_nnmod(val[0], a, m, ctx))
+ goto err; /* 1 */
+ if (BN_is_zero(val[0])) {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ 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 = 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);
+ BN_RECP_CTX_free(&recp);
+ bn_check_top(r);
+ 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;
- BIGNUM *d,*r;
- 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);
-
- 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)
- {
- 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 (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;
- }
-
- if (a->neg || BN_ucmp(a,m) >= 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 */
-
- 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++)
- {
- if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
- !BN_mod_mul_montgomery(val[i],val[i-1],
- d,mont,ctx))
- goto err;
- }
- }
-
- 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);
- 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 - (((BN_ULONG)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK))))
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
+{
+ int i, j, bits, ret = 0, wstart, wend, window, wvalue;
+ int start = 1;
+ BIGNUM *d, *r;
+ 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);
+
+ 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) {
+ 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 (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;
+ }
+
+ if (a->neg || BN_ucmp(a, m) >= 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 */
+
+ 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++) {
+ if (((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val[i], val[i - 1], d, mont, ctx))
+ goto err;
+ }
+ }
+
+ 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);
+ 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.
+ */
-/* 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/)
+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 - (((BN_ULONG)(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.daemong-consideredperthreading-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,idx,window,wvalue;
- int top;
- BIGNUM *r;
- const BIGNUM *aa;
- BN_MONT_CTX *mont=NULL;
-
- int numPowers;
- unsigned char *powerbufFree=NULL;
- int powerbufLen = 0;
- unsigned char *powerbuf=NULL;
- BIGNUM *computeTemp=NULL, *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);
-
- /* Allocate a buffer large enough to hold all of the pre-computed
- * powers of a.
- */
- numPowers = 1 << window;
- powerbufLen = sizeof(m->d[0])*top*numPowers;
- 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);
-
- /* 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;
- if (!MOD_EXP_CTIME_COPY_TO_PREBUF(r, top, powerbuf, 0, numPowers)) goto err;
-
- /* Initialize computeTemp as a^1 with montgomery precalcs */
- computeTemp = BN_CTX_get(ctx);
- am = BN_CTX_get(ctx);
- if (computeTemp==NULL || am==NULL) goto err;
-
- if (a->neg || BN_ucmp(a,m) >= 0)
- {
- if (!BN_mod(am,a,m,ctx))
- goto err;
- aa= am;
- }
- else
- aa=a;
- if (!BN_to_montgomery(am,aa,mont,ctx)) goto err;
- if (!BN_copy(computeTemp, am)) 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;
- }
- }
-
- /* 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;
- idx=bits-1; /* The top bit of the window */
-
- /* Scan the exponent one window at a time starting from the most
- * significant bits.
- */
- while (idx >= 0)
- {
- wvalue=0; /* The 'value' of the window */
-
- /* Scan the window, squaring the result as we go */
- for (i=0; i<window; i++,idx--)
- {
- if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) goto err;
- wvalue = (wvalue<<1)+BN_is_bit_set(p,idx);
- }
-
- /* 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);
- OPENSSL_free(powerbufFree);
- }
- if (am!=NULL) BN_clear(am);
- if (computeTemp!=NULL) BN_clear(computeTemp);
- BN_CTX_end(ctx);
- return(ret);
- }
+ const BIGNUM *m, BN_CTX *ctx,
+ BN_MONT_CTX *in_mont)
+{
+ int i, bits, ret = 0, idx, window, wvalue;
+ int top;
+ BIGNUM *r;
+ const BIGNUM *aa;
+ BN_MONT_CTX *mont = NULL;
+
+ int numPowers;
+ unsigned char *powerbufFree = NULL;
+ int powerbufLen = 0;
+ unsigned char *powerbuf = NULL;
+ BIGNUM *computeTemp = NULL, *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);
+
+ /*
+ * Allocate a buffer large enough to hold all of the pre-computed powers
+ * of a.
+ */
+ numPowers = 1 << window;
+ powerbufLen = sizeof(m->d[0]) * top * numPowers;
+ 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);
+
+ /*
+ * 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;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(r, top, powerbuf, 0, numPowers))
+ goto err;
+
+ /* Initialize computeTemp as a^1 with montgomery precalcs */
+ computeTemp = BN_CTX_get(ctx);
+ am = BN_CTX_get(ctx);
+ if (computeTemp == NULL || am == NULL)
+ goto err;
+
+ if (a->neg || BN_ucmp(a, m) >= 0) {
+ if (!BN_mod(am, a, m, ctx))
+ goto err;
+ aa = am;
+ } else
+ aa = a;
+ if (!BN_to_montgomery(am, aa, mont, ctx))
+ goto err;
+ if (!BN_copy(computeTemp, am))
+ 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;
+ }
+ }
+
+ /*
+ * 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;
+ idx = bits - 1; /* The top bit of the window */
+
+ /*
+ * Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ while (idx >= 0) {
+ wvalue = 0; /* The 'value' of the window */
+
+ /* Scan the window, squaring the result as we go */
+ for (i = 0; i < window; i++, idx--) {
+ if (!BN_mod_mul_montgomery(r, r, r, mont, ctx))
+ goto err;
+ wvalue = (wvalue << 1) + BN_is_bit_set(p, idx);
+ }
+
+ /*
+ * 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);
+ OPENSSL_free(powerbufFree);
+ }
+ if (am != NULL)
+ BN_clear(am);
+ if (computeTemp != NULL)
+ BN_clear(computeTemp);
+ BN_CTX_end(ctx);
+ 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;
+{
+ 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).
- */
+ (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)
- {
- 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);
- }
-
+ (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(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;
- /* 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)
- {
- ret = BN_one(r);
- return ret;
- }
-
- BN_CTX_start(ctx);
- d = BN_CTX_get(ctx);
- val[0] = BN_CTX_get(ctx);
- if(!d || !val[0]) goto err;
-
- if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
- if (BN_is_zero(val[0]))
- {
- 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;
- }
- }
-
- 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);
- 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;
+ BIGNUM *d;
+ /* 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) {
+ ret = BN_one(r);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if (!d || !val[0])
+ goto err;
+
+ if (!BN_nnmod(val[0], a, m, ctx))
+ goto err; /* 1 */
+ if (BN_is_zero(val[0])) {
+ 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;
+ }
+ }
+
+ 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);
+ bn_check_top(r);
+ return (ret);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c b/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c
index bd0c34b9..43fd2044 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -113,200 +113,191 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-#define TABLE_SIZE 32
+#define TABLE_SIZE 32
int BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1,
- const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
- BN_CTX *ctx, BN_MONT_CTX *in_mont)
- {
- int i,j,bits,b,bits1,bits2,ret=0,wpos1,wpos2,window1,window2,wvalue1,wvalue2;
- int r_is_one=1;
- BIGNUM *d,*r;
- const BIGNUM *a_mod_m;
- /* Tables of variables obtained from 'ctx' */
- BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE];
- BN_MONT_CTX *mont=NULL;
+ const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
+ BN_CTX *ctx, BN_MONT_CTX *in_mont)
+{
+ int i, j, bits, b, bits1, bits2, ret =
+ 0, wpos1, wpos2, window1, window2, wvalue1, wvalue2;
+ int r_is_one = 1;
+ BIGNUM *d, *r;
+ const BIGNUM *a_mod_m;
+ /* Tables of variables obtained from 'ctx' */
+ BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE];
+ BN_MONT_CTX *mont = NULL;
+
+ bn_check_top(a1);
+ bn_check_top(p1);
+ bn_check_top(a2);
+ bn_check_top(p2);
+ bn_check_top(m);
+
+ if (!(m->d[0] & 1)) {
+ BNerr(BN_F_BN_MOD_EXP2_MONT, BN_R_CALLED_WITH_EVEN_MODULUS);
+ return (0);
+ }
+ bits1 = BN_num_bits(p1);
+ bits2 = BN_num_bits(p2);
+ if ((bits1 == 0) && (bits2 == 0)) {
+ ret = BN_one(rr);
+ return ret;
+ }
- bn_check_top(a1);
- bn_check_top(p1);
- bn_check_top(a2);
- bn_check_top(p2);
- bn_check_top(m);
+ bits = (bits1 > bits2) ? bits1 : bits2;
- if (!(m->d[0] & 1))
- {
- BNerr(BN_F_BN_MOD_EXP2_MONT,BN_R_CALLED_WITH_EVEN_MODULUS);
- return(0);
- }
- bits1=BN_num_bits(p1);
- bits2=BN_num_bits(p2);
- if ((bits1 == 0) && (bits2 == 0))
- {
- ret = BN_one(rr);
- return ret;
- }
-
- bits=(bits1 > bits2)?bits1:bits2;
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ r = BN_CTX_get(ctx);
+ val1[0] = BN_CTX_get(ctx);
+ val2[0] = BN_CTX_get(ctx);
+ if (!d || !r || !val1[0] || !val2[0])
+ goto err;
- BN_CTX_start(ctx);
- d = BN_CTX_get(ctx);
- r = BN_CTX_get(ctx);
- val1[0] = BN_CTX_get(ctx);
- val2[0] = BN_CTX_get(ctx);
- if(!d || !r || !val1[0] || !val2[0]) 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;
+ }
- 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;
- }
+ window1 = BN_window_bits_for_exponent_size(bits1);
+ window2 = BN_window_bits_for_exponent_size(bits2);
- window1 = BN_window_bits_for_exponent_size(bits1);
- window2 = BN_window_bits_for_exponent_size(bits2);
+ /*
+ * Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1)
+ */
+ if (a1->neg || BN_ucmp(a1, m) >= 0) {
+ if (!BN_mod(val1[0], a1, m, ctx))
+ goto err;
+ a_mod_m = val1[0];
+ } else
+ a_mod_m = a1;
+ if (BN_is_zero(a_mod_m)) {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
- /*
- * Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1)
- */
- if (a1->neg || BN_ucmp(a1,m) >= 0)
- {
- if (!BN_mod(val1[0],a1,m,ctx))
- goto err;
- a_mod_m = val1[0];
- }
- else
- a_mod_m = a1;
- if (BN_is_zero(a_mod_m))
- {
- BN_zero(rr);
- ret = 1;
- goto err;
- }
+ if (!BN_to_montgomery(val1[0], a_mod_m, mont, ctx))
+ goto err;
+ if (window1 > 1) {
+ if (!BN_mod_mul_montgomery(d, val1[0], val1[0], mont, ctx))
+ goto err;
- if (!BN_to_montgomery(val1[0],a_mod_m,mont,ctx)) goto err;
- if (window1 > 1)
- {
- if (!BN_mod_mul_montgomery(d,val1[0],val1[0],mont,ctx)) goto err;
+ j = 1 << (window1 - 1);
+ for (i = 1; i < j; i++) {
+ if (((val1[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val1[i], val1[i - 1], d, mont, ctx))
+ goto err;
+ }
+ }
- j=1<<(window1-1);
- for (i=1; i<j; i++)
- {
- if(((val1[i] = BN_CTX_get(ctx)) == NULL) ||
- !BN_mod_mul_montgomery(val1[i],val1[i-1],
- d,mont,ctx))
- goto err;
- }
- }
+ /*
+ * Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1)
+ */
+ if (a2->neg || BN_ucmp(a2, m) >= 0) {
+ if (!BN_mod(val2[0], a2, m, ctx))
+ goto err;
+ a_mod_m = val2[0];
+ } else
+ a_mod_m = a2;
+ if (BN_is_zero(a_mod_m)) {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
+ if (!BN_to_montgomery(val2[0], a_mod_m, mont, ctx))
+ goto err;
+ if (window2 > 1) {
+ if (!BN_mod_mul_montgomery(d, val2[0], val2[0], mont, ctx))
+ goto err;
+ j = 1 << (window2 - 1);
+ for (i = 1; i < j; i++) {
+ if (((val2[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val2[i], val2[i - 1], d, mont, ctx))
+ goto err;
+ }
+ }
- /*
- * Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1)
- */
- if (a2->neg || BN_ucmp(a2,m) >= 0)
- {
- if (!BN_mod(val2[0],a2,m,ctx))
- goto err;
- a_mod_m = val2[0];
- }
- else
- a_mod_m = a2;
- if (BN_is_zero(a_mod_m))
- {
- BN_zero(rr);
- ret = 1;
- goto err;
- }
- if (!BN_to_montgomery(val2[0],a_mod_m,mont,ctx)) goto err;
- if (window2 > 1)
- {
- if (!BN_mod_mul_montgomery(d,val2[0],val2[0],mont,ctx)) goto err;
+ /* Now compute the power product, using independent windows. */
+ r_is_one = 1;
+ wvalue1 = 0; /* The 'value' of the first window */
+ wvalue2 = 0; /* The 'value' of the second window */
+ wpos1 = 0; /* If wvalue1 > 0, the bottom bit of the
+ * first window */
+ wpos2 = 0; /* If wvalue2 > 0, the bottom bit of the
+ * second window */
- j=1<<(window2-1);
- for (i=1; i<j; i++)
- {
- if(((val2[i] = BN_CTX_get(ctx)) == NULL) ||
- !BN_mod_mul_montgomery(val2[i],val2[i-1],
- d,mont,ctx))
- goto err;
- }
- }
+ if (!BN_to_montgomery(r, BN_value_one(), mont, ctx))
+ goto err;
+ for (b = bits - 1; b >= 0; b--) {
+ if (!r_is_one) {
+ if (!BN_mod_mul_montgomery(r, r, r, mont, ctx))
+ goto err;
+ }
+ if (!wvalue1)
+ if (BN_is_bit_set(p1, b)) {
+ /*
+ * consider bits b-window1+1 .. b for this window
+ */
+ i = b - window1 + 1;
+ while (!BN_is_bit_set(p1, i)) /* works for i<0 */
+ i++;
+ wpos1 = i;
+ wvalue1 = 1;
+ for (i = b - 1; i >= wpos1; i--) {
+ wvalue1 <<= 1;
+ if (BN_is_bit_set(p1, i))
+ wvalue1++;
+ }
+ }
- /* Now compute the power product, using independent windows. */
- r_is_one=1;
- wvalue1=0; /* The 'value' of the first window */
- wvalue2=0; /* The 'value' of the second window */
- wpos1=0; /* If wvalue1 > 0, the bottom bit of the first window */
- wpos2=0; /* If wvalue2 > 0, the bottom bit of the second window */
+ if (!wvalue2)
+ if (BN_is_bit_set(p2, b)) {
+ /*
+ * consider bits b-window2+1 .. b for this window
+ */
+ i = b - window2 + 1;
+ while (!BN_is_bit_set(p2, i))
+ i++;
+ wpos2 = i;
+ wvalue2 = 1;
+ for (i = b - 1; i >= wpos2; i--) {
+ wvalue2 <<= 1;
+ if (BN_is_bit_set(p2, i))
+ wvalue2++;
+ }
+ }
- if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
- for (b=bits-1; b>=0; b--)
- {
- if (!r_is_one)
- {
- if (!BN_mod_mul_montgomery(r,r,r,mont,ctx))
- goto err;
- }
-
- if (!wvalue1)
- if (BN_is_bit_set(p1, b))
- {
- /* consider bits b-window1+1 .. b for this window */
- i = b-window1+1;
- while (!BN_is_bit_set(p1, i)) /* works for i<0 */
- i++;
- wpos1 = i;
- wvalue1 = 1;
- for (i = b-1; i >= wpos1; i--)
- {
- wvalue1 <<= 1;
- if (BN_is_bit_set(p1, i))
- wvalue1++;
- }
- }
-
- if (!wvalue2)
- if (BN_is_bit_set(p2, b))
- {
- /* consider bits b-window2+1 .. b for this window */
- i = b-window2+1;
- while (!BN_is_bit_set(p2, i))
- i++;
- wpos2 = i;
- wvalue2 = 1;
- for (i = b-1; i >= wpos2; i--)
- {
- wvalue2 <<= 1;
- if (BN_is_bit_set(p2, i))
- wvalue2++;
- }
- }
+ if (wvalue1 && b == wpos1) {
+ /* wvalue1 is odd and < 2^window1 */
+ if (!BN_mod_mul_montgomery(r, r, val1[wvalue1 >> 1], mont, ctx))
+ goto err;
+ wvalue1 = 0;
+ r_is_one = 0;
+ }
- if (wvalue1 && b == wpos1)
- {
- /* wvalue1 is odd and < 2^window1 */
- if (!BN_mod_mul_montgomery(r,r,val1[wvalue1>>1],mont,ctx))
- goto err;
- wvalue1 = 0;
- r_is_one = 0;
- }
-
- if (wvalue2 && b == wpos2)
- {
- /* wvalue2 is odd and < 2^window2 */
- if (!BN_mod_mul_montgomery(r,r,val2[wvalue2>>1],mont,ctx))
- goto err;
- wvalue2 = 0;
- r_is_one = 0;
- }
- }
- 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);
- }
+ if (wvalue2 && b == wpos2) {
+ /* wvalue2 is odd and < 2^window2 */
+ if (!BN_mod_mul_montgomery(r, r, val2[wvalue2 >> 1], mont, ctx))
+ goto err;
+ wvalue2 = 0;
+ r_is_one = 0;
+ }
+ }
+ 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);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c
index 4a352119..cd5f86b0 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -115,540 +115,585 @@
static BIGNUM *euclid(BIGNUM *a, BIGNUM *b);
int BN_gcd(BIGNUM *r, const BIGNUM *in_a, const BIGNUM *in_b, BN_CTX *ctx)
- {
- BIGNUM *a,*b,*t;
- int ret=0;
-
- bn_check_top(in_a);
- bn_check_top(in_b);
-
- BN_CTX_start(ctx);
- a = BN_CTX_get(ctx);
- b = BN_CTX_get(ctx);
- if (a == NULL || b == NULL) goto err;
-
- if (BN_copy(a,in_a) == NULL) goto err;
- if (BN_copy(b,in_b) == NULL) goto err;
- a->neg = 0;
- b->neg = 0;
-
- if (BN_cmp(a,b) < 0) { t=a; a=b; b=t; }
- t=euclid(a,b);
- if (t == NULL) goto err;
-
- if (BN_copy(r,t) == NULL) goto err;
- ret=1;
-err:
- BN_CTX_end(ctx);
- bn_check_top(r);
- return(ret);
- }
+{
+ BIGNUM *a, *b, *t;
+ int ret = 0;
+
+ bn_check_top(in_a);
+ bn_check_top(in_b);
+
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ if (a == NULL || b == NULL)
+ goto err;
+
+ if (BN_copy(a, in_a) == NULL)
+ goto err;
+ if (BN_copy(b, in_b) == NULL)
+ goto err;
+ a->neg = 0;
+ b->neg = 0;
+
+ if (BN_cmp(a, b) < 0) {
+ t = a;
+ a = b;
+ b = t;
+ }
+ t = euclid(a, b);
+ if (t == NULL)
+ goto err;
+
+ if (BN_copy(r, t) == NULL)
+ goto err;
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return (ret);
+}
static BIGNUM *euclid(BIGNUM *a, BIGNUM *b)
- {
- BIGNUM *t;
- int shifts=0;
-
- bn_check_top(a);
- bn_check_top(b);
-
- /* 0 <= b <= a */
- while (!BN_is_zero(b))
- {
- /* 0 < b <= a */
-
- if (BN_is_odd(a))
- {
- if (BN_is_odd(b))
- {
- if (!BN_sub(a,a,b)) goto err;
- if (!BN_rshift1(a,a)) goto err;
- if (BN_cmp(a,b) < 0)
- { t=a; a=b; b=t; }
- }
- else /* a odd - b even */
- {
- if (!BN_rshift1(b,b)) goto err;
- if (BN_cmp(a,b) < 0)
- { t=a; a=b; b=t; }
- }
- }
- else /* a is even */
- {
- if (BN_is_odd(b))
- {
- if (!BN_rshift1(a,a)) goto err;
- if (BN_cmp(a,b) < 0)
- { t=a; a=b; b=t; }
- }
- else /* a even - b even */
- {
- if (!BN_rshift1(a,a)) goto err;
- if (!BN_rshift1(b,b)) goto err;
- shifts++;
- }
- }
- /* 0 <= b <= a */
- }
-
- if (shifts)
- {
- if (!BN_lshift(a,a,shifts)) goto err;
- }
- bn_check_top(a);
- return(a);
-err:
- return(NULL);
- }
-
+{
+ BIGNUM *t;
+ int shifts = 0;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ /* 0 <= b <= a */
+ while (!BN_is_zero(b)) {
+ /* 0 < b <= a */
+
+ if (BN_is_odd(a)) {
+ if (BN_is_odd(b)) {
+ if (!BN_sub(a, a, b))
+ goto err;
+ if (!BN_rshift1(a, a))
+ goto err;
+ if (BN_cmp(a, b) < 0) {
+ t = a;
+ a = b;
+ b = t;
+ }
+ } else { /* a odd - b even */
+
+ if (!BN_rshift1(b, b))
+ goto err;
+ if (BN_cmp(a, b) < 0) {
+ t = a;
+ a = b;
+ b = t;
+ }
+ }
+ } else { /* a is even */
+
+ if (BN_is_odd(b)) {
+ if (!BN_rshift1(a, a))
+ goto err;
+ if (BN_cmp(a, b) < 0) {
+ t = a;
+ a = b;
+ b = t;
+ }
+ } else { /* a even - b even */
+
+ if (!BN_rshift1(a, a))
+ goto err;
+ if (!BN_rshift1(b, b))
+ goto err;
+ shifts++;
+ }
+ }
+ /* 0 <= b <= a */
+ }
+
+ if (shifts) {
+ if (!BN_lshift(a, a, shifts))
+ goto err;
+ }
+ bn_check_top(a);
+ return (a);
+ err:
+ return (NULL);
+}
/* solves ax == 1 (mod n) */
static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
-BIGNUM *BN_mod_inverse(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
- {
- BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL;
- BIGNUM *ret=NULL;
- int sign;
-
- if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0))
- {
- return BN_mod_inverse_no_branch(in, a, n, ctx);
- }
-
- bn_check_top(a);
- bn_check_top(n);
-
- BN_CTX_start(ctx);
- A = BN_CTX_get(ctx);
- B = BN_CTX_get(ctx);
- X = BN_CTX_get(ctx);
- D = BN_CTX_get(ctx);
- M = BN_CTX_get(ctx);
- Y = BN_CTX_get(ctx);
- T = BN_CTX_get(ctx);
- if (T == NULL) goto err;
-
- if (in == NULL)
- R=BN_new();
- else
- R=in;
- if (R == NULL) goto err;
-
- BN_one(X);
- BN_zero(Y);
- if (BN_copy(B,a) == NULL) goto err;
- if (BN_copy(A,n) == NULL) goto err;
- A->neg = 0;
- if (B->neg || (BN_ucmp(B, A) >= 0))
- {
- if (!BN_nnmod(B, B, A, ctx)) goto err;
- }
- sign = -1;
- /* From B = a mod |n|, A = |n| it follows that
- *
- * 0 <= B < A,
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- */
-
- if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048)))
- {
- /* Binary inversion algorithm; requires odd modulus.
- * This is faster than the general algorithm if the modulus
- * is sufficiently small (about 400 .. 500 bits on 32-bit
- * sytems, but much more on 64-bit systems) */
- int shift;
-
- while (!BN_is_zero(B))
- {
- /*
- * 0 < B < |n|,
- * 0 < A <= |n|,
- * (1) -sign*X*a == B (mod |n|),
- * (2) sign*Y*a == A (mod |n|)
- */
-
- /* Now divide B by the maximum possible power of two in the integers,
- * and divide X by the same value mod |n|.
- * When we're done, (1) still holds. */
- shift = 0;
- while (!BN_is_bit_set(B, shift)) /* note that 0 < B */
- {
- shift++;
-
- if (BN_is_odd(X))
- {
- if (!BN_uadd(X, X, n)) goto err;
- }
- /* now X is even, so we can easily divide it by two */
- if (!BN_rshift1(X, X)) goto err;
- }
- if (shift > 0)
- {
- if (!BN_rshift(B, B, shift)) goto err;
- }
-
-
- /* Same for A and Y. Afterwards, (2) still holds. */
- shift = 0;
- while (!BN_is_bit_set(A, shift)) /* note that 0 < A */
- {
- shift++;
-
- if (BN_is_odd(Y))
- {
- if (!BN_uadd(Y, Y, n)) goto err;
- }
- /* now Y is even */
- if (!BN_rshift1(Y, Y)) goto err;
- }
- if (shift > 0)
- {
- if (!BN_rshift(A, A, shift)) goto err;
- }
-
-
- /* We still have (1) and (2).
- * Both A and B are odd.
- * The following computations ensure that
- *
- * 0 <= B < |n|,
- * 0 < A < |n|,
- * (1) -sign*X*a == B (mod |n|),
- * (2) sign*Y*a == A (mod |n|),
- *
- * and that either A or B is even in the next iteration.
- */
- if (BN_ucmp(B, A) >= 0)
- {
- /* -sign*(X + Y)*a == B - A (mod |n|) */
- if (!BN_uadd(X, X, Y)) goto err;
- /* NB: we could use BN_mod_add_quick(X, X, Y, n), but that
- * actually makes the algorithm slower */
- if (!BN_usub(B, B, A)) goto err;
- }
- else
- {
- /* sign*(X + Y)*a == A - B (mod |n|) */
- if (!BN_uadd(Y, Y, X)) goto err;
- /* as above, BN_mod_add_quick(Y, Y, X, n) would slow things down */
- if (!BN_usub(A, A, B)) goto err;
- }
- }
- }
- else
- {
- /* general inversion algorithm */
-
- while (!BN_is_zero(B))
- {
- BIGNUM *tmp;
-
- /*
- * 0 < B < A,
- * (*) -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|)
- */
-
- /* (D, M) := (A/B, A%B) ... */
- if (BN_num_bits(A) == BN_num_bits(B))
- {
- if (!BN_one(D)) goto err;
- if (!BN_sub(M,A,B)) goto err;
- }
- else if (BN_num_bits(A) == BN_num_bits(B) + 1)
- {
- /* A/B is 1, 2, or 3 */
- if (!BN_lshift1(T,B)) goto err;
- if (BN_ucmp(A,T) < 0)
- {
- /* A < 2*B, so D=1 */
- if (!BN_one(D)) goto err;
- if (!BN_sub(M,A,B)) goto err;
- }
- else
- {
- /* A >= 2*B, so D=2 or D=3 */
- if (!BN_sub(M,A,T)) goto err;
- if (!BN_add(D,T,B)) goto err; /* use D (:= 3*B) as temp */
- if (BN_ucmp(A,D) < 0)
- {
- /* A < 3*B, so D=2 */
- if (!BN_set_word(D,2)) goto err;
- /* M (= A - 2*B) already has the correct value */
- }
- else
- {
- /* only D=3 remains */
- if (!BN_set_word(D,3)) goto err;
- /* currently M = A - 2*B, but we need M = A - 3*B */
- if (!BN_sub(M,M,B)) goto err;
- }
- }
- }
- else
- {
- if (!BN_div(D,M,A,B,ctx)) goto err;
- }
-
- /* Now
- * A = D*B + M;
- * thus we have
- * (**) sign*Y*a == D*B + M (mod |n|).
- */
-
- tmp=A; /* keep the BIGNUM object, the value does not matter */
-
- /* (A, B) := (B, A mod B) ... */
- A=B;
- B=M;
- /* ... so we have 0 <= B < A again */
-
- /* Since the former M is now B and the former B is now A,
- * (**) translates into
- * sign*Y*a == D*A + B (mod |n|),
- * i.e.
- * sign*Y*a - D*A == B (mod |n|).
- * Similarly, (*) translates into
- * -sign*X*a == A (mod |n|).
- *
- * Thus,
- * sign*Y*a + D*sign*X*a == B (mod |n|),
- * i.e.
- * sign*(Y + D*X)*a == B (mod |n|).
- *
- * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- * Note that X and Y stay non-negative all the time.
- */
-
- /* most of the time D is very small, so we can optimize tmp := D*X+Y */
- if (BN_is_one(D))
- {
- if (!BN_add(tmp,X,Y)) goto err;
- }
- else
- {
- if (BN_is_word(D,2))
- {
- if (!BN_lshift1(tmp,X)) goto err;
- }
- else if (BN_is_word(D,4))
- {
- if (!BN_lshift(tmp,X,2)) goto err;
- }
- else if (D->top == 1)
- {
- if (!BN_copy(tmp,X)) goto err;
- if (!BN_mul_word(tmp,D->d[0])) goto err;
- }
- else
- {
- if (!BN_mul(tmp,D,X,ctx)) goto err;
- }
- if (!BN_add(tmp,tmp,Y)) goto err;
- }
-
- M=Y; /* keep the BIGNUM object, the value does not matter */
- Y=X;
- X=tmp;
- sign = -sign;
- }
- }
-
- /*
- * The while loop (Euclid's algorithm) ends when
- * A == gcd(a,n);
- * we have
- * sign*Y*a == A (mod |n|),
- * where Y is non-negative.
- */
-
- if (sign < 0)
- {
- if (!BN_sub(Y,n,Y)) goto err;
- }
- /* Now Y*a == A (mod |n|). */
-
-
- if (BN_is_one(A))
- {
- /* Y*a == 1 (mod |n|) */
- if (!Y->neg && BN_ucmp(Y,n) < 0)
- {
- if (!BN_copy(R,Y)) goto err;
- }
- else
- {
- if (!BN_nnmod(R,Y,n,ctx)) goto err;
- }
- }
- else
- {
- BNerr(BN_F_BN_MOD_INVERSE,BN_R_NO_INVERSE);
- goto err;
- }
- ret=R;
-err:
- if ((ret == NULL) && (in == NULL)) BN_free(R);
- BN_CTX_end(ctx);
- bn_check_top(ret);
- return(ret);
- }
-
-
-/* BN_mod_inverse_no_branch is a special version of BN_mod_inverse.
- * It does not contain branches that may leak sensitive information.
+ const BIGNUM *a, const BIGNUM *n,
+ BN_CTX *ctx);
+BIGNUM *BN_mod_inverse(BIGNUM *in, const BIGNUM *a, const BIGNUM *n,
+ BN_CTX *ctx)
+{
+ BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;
+ BIGNUM *ret = NULL;
+ int sign;
+
+ if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0)
+ || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) {
+ return BN_mod_inverse_no_branch(in, a, n, ctx);
+ }
+
+ bn_check_top(a);
+ bn_check_top(n);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ X = BN_CTX_get(ctx);
+ D = BN_CTX_get(ctx);
+ M = BN_CTX_get(ctx);
+ Y = BN_CTX_get(ctx);
+ T = BN_CTX_get(ctx);
+ if (T == NULL)
+ goto err;
+
+ if (in == NULL)
+ R = BN_new();
+ else
+ R = in;
+ if (R == NULL)
+ goto err;
+
+ BN_one(X);
+ BN_zero(Y);
+ if (BN_copy(B, a) == NULL)
+ goto err;
+ if (BN_copy(A, n) == NULL)
+ goto err;
+ A->neg = 0;
+ if (B->neg || (BN_ucmp(B, A) >= 0)) {
+ if (!BN_nnmod(B, B, A, ctx))
+ goto err;
+ }
+ sign = -1;
+ /*-
+ * From B = a mod |n|, A = |n| it follows that
+ *
+ * 0 <= B < A,
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ */
+
+ if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048))) {
+ /*
+ * Binary inversion algorithm; requires odd modulus. This is faster
+ * than the general algorithm if the modulus is sufficiently small
+ * (about 400 .. 500 bits on 32-bit sytems, but much more on 64-bit
+ * systems)
+ */
+ int shift;
+
+ while (!BN_is_zero(B)) {
+ /*-
+ * 0 < B < |n|,
+ * 0 < A <= |n|,
+ * (1) -sign*X*a == B (mod |n|),
+ * (2) sign*Y*a == A (mod |n|)
+ */
+
+ /*
+ * Now divide B by the maximum possible power of two in the
+ * integers, and divide X by the same value mod |n|. When we're
+ * done, (1) still holds.
+ */
+ shift = 0;
+ while (!BN_is_bit_set(B, shift)) { /* note that 0 < B */
+ shift++;
+
+ if (BN_is_odd(X)) {
+ if (!BN_uadd(X, X, n))
+ goto err;
+ }
+ /*
+ * now X is even, so we can easily divide it by two
+ */
+ if (!BN_rshift1(X, X))
+ goto err;
+ }
+ if (shift > 0) {
+ if (!BN_rshift(B, B, shift))
+ goto err;
+ }
+
+ /*
+ * Same for A and Y. Afterwards, (2) still holds.
+ */
+ shift = 0;
+ while (!BN_is_bit_set(A, shift)) { /* note that 0 < A */
+ shift++;
+
+ if (BN_is_odd(Y)) {
+ if (!BN_uadd(Y, Y, n))
+ goto err;
+ }
+ /* now Y is even */
+ if (!BN_rshift1(Y, Y))
+ goto err;
+ }
+ if (shift > 0) {
+ if (!BN_rshift(A, A, shift))
+ goto err;
+ }
+
+ /*-
+ * We still have (1) and (2).
+ * Both A and B are odd.
+ * The following computations ensure that
+ *
+ * 0 <= B < |n|,
+ * 0 < A < |n|,
+ * (1) -sign*X*a == B (mod |n|),
+ * (2) sign*Y*a == A (mod |n|),
+ *
+ * and that either A or B is even in the next iteration.
+ */
+ if (BN_ucmp(B, A) >= 0) {
+ /* -sign*(X + Y)*a == B - A (mod |n|) */
+ if (!BN_uadd(X, X, Y))
+ goto err;
+ /*
+ * NB: we could use BN_mod_add_quick(X, X, Y, n), but that
+ * actually makes the algorithm slower
+ */
+ if (!BN_usub(B, B, A))
+ goto err;
+ } else {
+ /* sign*(X + Y)*a == A - B (mod |n|) */
+ if (!BN_uadd(Y, Y, X))
+ goto err;
+ /*
+ * as above, BN_mod_add_quick(Y, Y, X, n) would slow things
+ * down
+ */
+ if (!BN_usub(A, A, B))
+ goto err;
+ }
+ }
+ } else {
+ /* general inversion algorithm */
+
+ while (!BN_is_zero(B)) {
+ BIGNUM *tmp;
+
+ /*-
+ * 0 < B < A,
+ * (*) -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|)
+ */
+
+ /* (D, M) := (A/B, A%B) ... */
+ if (BN_num_bits(A) == BN_num_bits(B)) {
+ if (!BN_one(D))
+ goto err;
+ if (!BN_sub(M, A, B))
+ goto err;
+ } else if (BN_num_bits(A) == BN_num_bits(B) + 1) {
+ /* A/B is 1, 2, or 3 */
+ if (!BN_lshift1(T, B))
+ goto err;
+ if (BN_ucmp(A, T) < 0) {
+ /* A < 2*B, so D=1 */
+ if (!BN_one(D))
+ goto err;
+ if (!BN_sub(M, A, B))
+ goto err;
+ } else {
+ /* A >= 2*B, so D=2 or D=3 */
+ if (!BN_sub(M, A, T))
+ goto err;
+ if (!BN_add(D, T, B))
+ goto err; /* use D (:= 3*B) as temp */
+ if (BN_ucmp(A, D) < 0) {
+ /* A < 3*B, so D=2 */
+ if (!BN_set_word(D, 2))
+ goto err;
+ /*
+ * M (= A - 2*B) already has the correct value
+ */
+ } else {
+ /* only D=3 remains */
+ if (!BN_set_word(D, 3))
+ goto err;
+ /*
+ * currently M = A - 2*B, but we need M = A - 3*B
+ */
+ if (!BN_sub(M, M, B))
+ goto err;
+ }
+ }
+ } else {
+ if (!BN_div(D, M, A, B, ctx))
+ goto err;
+ }
+
+ /*-
+ * Now
+ * A = D*B + M;
+ * thus we have
+ * (**) sign*Y*a == D*B + M (mod |n|).
+ */
+
+ tmp = A; /* keep the BIGNUM object, the value does not
+ * matter */
+
+ /* (A, B) := (B, A mod B) ... */
+ A = B;
+ B = M;
+ /* ... so we have 0 <= B < A again */
+
+ /*-
+ * Since the former M is now B and the former B is now A,
+ * (**) translates into
+ * sign*Y*a == D*A + B (mod |n|),
+ * i.e.
+ * sign*Y*a - D*A == B (mod |n|).
+ * Similarly, (*) translates into
+ * -sign*X*a == A (mod |n|).
+ *
+ * Thus,
+ * sign*Y*a + D*sign*X*a == B (mod |n|),
+ * i.e.
+ * sign*(Y + D*X)*a == B (mod |n|).
+ *
+ * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ * Note that X and Y stay non-negative all the time.
+ */
+
+ /*
+ * most of the time D is very small, so we can optimize tmp :=
+ * D*X+Y
+ */
+ if (BN_is_one(D)) {
+ if (!BN_add(tmp, X, Y))
+ goto err;
+ } else {
+ if (BN_is_word(D, 2)) {
+ if (!BN_lshift1(tmp, X))
+ goto err;
+ } else if (BN_is_word(D, 4)) {
+ if (!BN_lshift(tmp, X, 2))
+ goto err;
+ } else if (D->top == 1) {
+ if (!BN_copy(tmp, X))
+ goto err;
+ if (!BN_mul_word(tmp, D->d[0]))
+ goto err;
+ } else {
+ if (!BN_mul(tmp, D, X, ctx))
+ goto err;
+ }
+ if (!BN_add(tmp, tmp, Y))
+ goto err;
+ }
+
+ M = Y; /* keep the BIGNUM object, the value does not
+ * matter */
+ Y = X;
+ X = tmp;
+ sign = -sign;
+ }
+ }
+
+ /*-
+ * The while loop (Euclid's algorithm) ends when
+ * A == gcd(a,n);
+ * we have
+ * sign*Y*a == A (mod |n|),
+ * where Y is non-negative.
+ */
+
+ if (sign < 0) {
+ if (!BN_sub(Y, n, Y))
+ goto err;
+ }
+ /* Now Y*a == A (mod |n|). */
+
+ if (BN_is_one(A)) {
+ /* Y*a == 1 (mod |n|) */
+ if (!Y->neg && BN_ucmp(Y, n) < 0) {
+ if (!BN_copy(R, Y))
+ goto err;
+ } else {
+ if (!BN_nnmod(R, Y, n, ctx))
+ goto err;
+ }
+ } else {
+ BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE);
+ goto err;
+ }
+ ret = R;
+ err:
+ if ((ret == NULL) && (in == NULL))
+ BN_free(R);
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return (ret);
+}
+
+/*
+ * BN_mod_inverse_no_branch is a special version of BN_mod_inverse. It does
+ * not contain branches that may leak sensitive information.
*/
static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
- {
- BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL;
- BIGNUM local_A, local_B;
- BIGNUM *pA, *pB;
- BIGNUM *ret=NULL;
- int sign;
-
- bn_check_top(a);
- bn_check_top(n);
-
- BN_CTX_start(ctx);
- A = BN_CTX_get(ctx);
- B = BN_CTX_get(ctx);
- X = BN_CTX_get(ctx);
- D = BN_CTX_get(ctx);
- M = BN_CTX_get(ctx);
- Y = BN_CTX_get(ctx);
- T = BN_CTX_get(ctx);
- if (T == NULL) goto err;
-
- if (in == NULL)
- R=BN_new();
- else
- R=in;
- if (R == NULL) goto err;
-
- BN_one(X);
- BN_zero(Y);
- if (BN_copy(B,a) == NULL) goto err;
- if (BN_copy(A,n) == NULL) goto err;
- A->neg = 0;
-
- if (B->neg || (BN_ucmp(B, A) >= 0))
- {
- /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
- * BN_div_no_branch will be called eventually.
- */
- pB = &local_B;
- BN_with_flags(pB, B, BN_FLG_CONSTTIME);
- if (!BN_nnmod(B, pB, A, ctx)) goto err;
- }
- sign = -1;
- /* From B = a mod |n|, A = |n| it follows that
- *
- * 0 <= B < A,
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- */
-
- while (!BN_is_zero(B))
- {
- BIGNUM *tmp;
-
- /*
- * 0 < B < A,
- * (*) -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|)
- */
-
- /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
- * BN_div_no_branch will be called eventually.
- */
- pA = &local_A;
- BN_with_flags(pA, A, BN_FLG_CONSTTIME);
-
- /* (D, M) := (A/B, A%B) ... */
- if (!BN_div(D,M,pA,B,ctx)) goto err;
-
- /* Now
- * A = D*B + M;
- * thus we have
- * (**) sign*Y*a == D*B + M (mod |n|).
- */
-
- tmp=A; /* keep the BIGNUM object, the value does not matter */
-
- /* (A, B) := (B, A mod B) ... */
- A=B;
- B=M;
- /* ... so we have 0 <= B < A again */
-
- /* Since the former M is now B and the former B is now A,
- * (**) translates into
- * sign*Y*a == D*A + B (mod |n|),
- * i.e.
- * sign*Y*a - D*A == B (mod |n|).
- * Similarly, (*) translates into
- * -sign*X*a == A (mod |n|).
- *
- * Thus,
- * sign*Y*a + D*sign*X*a == B (mod |n|),
- * i.e.
- * sign*(Y + D*X)*a == B (mod |n|).
- *
- * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- * Note that X and Y stay non-negative all the time.
- */
-
- if (!BN_mul(tmp,D,X,ctx)) goto err;
- if (!BN_add(tmp,tmp,Y)) goto err;
-
- M=Y; /* keep the BIGNUM object, the value does not matter */
- Y=X;
- X=tmp;
- sign = -sign;
- }
-
- /*
- * The while loop (Euclid's algorithm) ends when
- * A == gcd(a,n);
- * we have
- * sign*Y*a == A (mod |n|),
- * where Y is non-negative.
- */
-
- if (sign < 0)
- {
- if (!BN_sub(Y,n,Y)) goto err;
- }
- /* Now Y*a == A (mod |n|). */
-
- if (BN_is_one(A))
- {
- /* Y*a == 1 (mod |n|) */
- if (!Y->neg && BN_ucmp(Y,n) < 0)
- {
- if (!BN_copy(R,Y)) goto err;
- }
- else
- {
- if (!BN_nnmod(R,Y,n,ctx)) goto err;
- }
- }
- else
- {
- BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH,BN_R_NO_INVERSE);
- goto err;
- }
- ret=R;
-err:
- if ((ret == NULL) && (in == NULL)) BN_free(R);
- BN_CTX_end(ctx);
- bn_check_top(ret);
- return(ret);
- }
+ const BIGNUM *a, const BIGNUM *n,
+ BN_CTX *ctx)
+{
+ BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;
+ BIGNUM local_A, local_B;
+ BIGNUM *pA, *pB;
+ BIGNUM *ret = NULL;
+ int sign;
+
+ bn_check_top(a);
+ bn_check_top(n);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ X = BN_CTX_get(ctx);
+ D = BN_CTX_get(ctx);
+ M = BN_CTX_get(ctx);
+ Y = BN_CTX_get(ctx);
+ T = BN_CTX_get(ctx);
+ if (T == NULL)
+ goto err;
+
+ if (in == NULL)
+ R = BN_new();
+ else
+ R = in;
+ if (R == NULL)
+ goto err;
+
+ BN_one(X);
+ BN_zero(Y);
+ if (BN_copy(B, a) == NULL)
+ goto err;
+ if (BN_copy(A, n) == NULL)
+ goto err;
+ A->neg = 0;
+
+ if (B->neg || (BN_ucmp(B, A) >= 0)) {
+ /*
+ * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ pB = &local_B;
+ BN_with_flags(pB, B, BN_FLG_CONSTTIME);
+ if (!BN_nnmod(B, pB, A, ctx))
+ goto err;
+ }
+ sign = -1;
+ /*-
+ * From B = a mod |n|, A = |n| it follows that
+ *
+ * 0 <= B < A,
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ */
+
+ while (!BN_is_zero(B)) {
+ BIGNUM *tmp;
+
+ /*-
+ * 0 < B < A,
+ * (*) -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|)
+ */
+
+ /*
+ * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ pA = &local_A;
+ BN_with_flags(pA, A, BN_FLG_CONSTTIME);
+
+ /* (D, M) := (A/B, A%B) ... */
+ if (!BN_div(D, M, pA, B, ctx))
+ goto err;
+
+ /*-
+ * Now
+ * A = D*B + M;
+ * thus we have
+ * (**) sign*Y*a == D*B + M (mod |n|).
+ */
+
+ tmp = A; /* keep the BIGNUM object, the value does not
+ * matter */
+
+ /* (A, B) := (B, A mod B) ... */
+ A = B;
+ B = M;
+ /* ... so we have 0 <= B < A again */
+
+ /*-
+ * Since the former M is now B and the former B is now A,
+ * (**) translates into
+ * sign*Y*a == D*A + B (mod |n|),
+ * i.e.
+ * sign*Y*a - D*A == B (mod |n|).
+ * Similarly, (*) translates into
+ * -sign*X*a == A (mod |n|).
+ *
+ * Thus,
+ * sign*Y*a + D*sign*X*a == B (mod |n|),
+ * i.e.
+ * sign*(Y + D*X)*a == B (mod |n|).
+ *
+ * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ * Note that X and Y stay non-negative all the time.
+ */
+
+ if (!BN_mul(tmp, D, X, ctx))
+ goto err;
+ if (!BN_add(tmp, tmp, Y))
+ goto err;
+
+ M = Y; /* keep the BIGNUM object, the value does not
+ * matter */
+ Y = X;
+ X = tmp;
+ sign = -sign;
+ }
+
+ /*-
+ * The while loop (Euclid's algorithm) ends when
+ * A == gcd(a,n);
+ * we have
+ * sign*Y*a == A (mod |n|),
+ * where Y is non-negative.
+ */
+
+ if (sign < 0) {
+ if (!BN_sub(Y, n, Y))
+ goto err;
+ }
+ /* Now Y*a == A (mod |n|). */
+
+ if (BN_is_one(A)) {
+ /* Y*a == 1 (mod |n|) */
+ if (!Y->neg && BN_ucmp(Y, n) < 0) {
+ if (!BN_copy(R, Y))
+ goto err;
+ } else {
+ if (!BN_nnmod(R, Y, n, ctx))
+ goto err;
+ }
+ } else {
+ BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH, BN_R_NO_INVERSE);
+ goto err;
+ }
+ ret = R;
+ err:
+ if ((ret == NULL) && (in == NULL))
+ BN_free(R);
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return (ret);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c b/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c
index 28f1fa8f..3386f726 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c
@@ -27,12 +27,13 @@
*
*/
-/* NOTE: This file is licensed pursuant to the OpenSSL license below
- * and may be modified; but after modifications, the above covenant
- * may no longer apply! In such cases, the corresponding paragraph
- * ["In addition, Sun covenants ... causes the infringement."] and
- * this note can be edited out; but please keep the Sun copyright
- * notice and attribution. */
+/*
+ * NOTE: This file is licensed pursuant to the OpenSSL license below and may
+ * be modified; but after modifications, the above covenant may no longer
+ * apply! In such cases, the corresponding paragraph ["In addition, Sun
+ * covenants ... causes the infringement."] and this note can be edited out;
+ * but please keep the Sun copyright notice and attribution.
+ */
/* ====================================================================
* Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
@@ -42,7 +43,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -94,1055 +95,1275 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-/* Maximum number of iterations before BN_GF2m_mod_solve_quad_arr should fail. */
+/*
+ * Maximum number of iterations before BN_GF2m_mod_solve_quad_arr should
+ * fail.
+ */
#define MAX_ITERATIONS 50
-static const BN_ULONG SQR_tb[16] =
- { 0, 1, 4, 5, 16, 17, 20, 21,
- 64, 65, 68, 69, 80, 81, 84, 85 };
+static const BN_ULONG SQR_tb[16] = { 0, 1, 4, 5, 16, 17, 20, 21,
+ 64, 65, 68, 69, 80, 81, 84, 85
+};
+
/* Platform-specific macros to accelerate squaring. */
#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
-#define SQR1(w) \
+# define SQR1(w) \
SQR_tb[(w) >> 60 & 0xF] << 56 | SQR_tb[(w) >> 56 & 0xF] << 48 | \
SQR_tb[(w) >> 52 & 0xF] << 40 | SQR_tb[(w) >> 48 & 0xF] << 32 | \
SQR_tb[(w) >> 44 & 0xF] << 24 | SQR_tb[(w) >> 40 & 0xF] << 16 | \
SQR_tb[(w) >> 36 & 0xF] << 8 | SQR_tb[(w) >> 32 & 0xF]
-#define SQR0(w) \
+# define SQR0(w) \
SQR_tb[(w) >> 28 & 0xF] << 56 | SQR_tb[(w) >> 24 & 0xF] << 48 | \
SQR_tb[(w) >> 20 & 0xF] << 40 | SQR_tb[(w) >> 16 & 0xF] << 32 | \
SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
#endif
#ifdef THIRTY_TWO_BIT
-#define SQR1(w) \
+# define SQR1(w) \
SQR_tb[(w) >> 28 & 0xF] << 24 | SQR_tb[(w) >> 24 & 0xF] << 16 | \
SQR_tb[(w) >> 20 & 0xF] << 8 | SQR_tb[(w) >> 16 & 0xF]
-#define SQR0(w) \
+# define SQR0(w) \
SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
#endif
#ifdef SIXTEEN_BIT
-#define SQR1(w) \
+# define SQR1(w) \
SQR_tb[(w) >> 12 & 0xF] << 8 | SQR_tb[(w) >> 8 & 0xF]
-#define SQR0(w) \
+# define SQR0(w) \
SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
#endif
#ifdef EIGHT_BIT
-#define SQR1(w) \
+# define SQR1(w) \
SQR_tb[(w) >> 4 & 0xF]
-#define SQR0(w) \
+# define SQR0(w) \
SQR_tb[(w) & 15]
#endif
-/* Product of two polynomials a, b each with degree < BN_BITS2 - 1,
- * result is a polynomial r with degree < 2 * BN_BITS - 1
- * The caller MUST ensure that the variables have the right amount
- * of space allocated.
+/*
+ * Product of two polynomials a, b each with degree < BN_BITS2 - 1, result is
+ * a polynomial r with degree < 2 * BN_BITS - 1 The caller MUST ensure that
+ * the variables have the right amount of space allocated.
*/
#ifdef EIGHT_BIT
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
- {
- register BN_ULONG h, l, s;
- BN_ULONG tab[4], top1b = a >> 7;
- register BN_ULONG a1, a2;
-
- a1 = a & (0x7F); a2 = a1 << 1;
-
- tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2;
-
- s = tab[b & 0x3]; l = s;
- s = tab[b >> 2 & 0x3]; l ^= s << 2; h = s >> 6;
- s = tab[b >> 4 & 0x3]; l ^= s << 4; h ^= s >> 4;
- s = tab[b >> 6 ]; l ^= s << 6; h ^= s >> 2;
-
- /* compensate for the top bit of a */
-
- if (top1b & 01) { l ^= b << 7; h ^= b >> 1; }
-
- *r1 = h; *r0 = l;
- }
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a,
+ const BN_ULONG b)
+{
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[4], top1b = a >> 7;
+ register BN_ULONG a1, a2;
+
+ a1 = a & (0x7F);
+ a2 = a1 << 1;
+
+ tab[0] = 0;
+ tab[1] = a1;
+ tab[2] = a2;
+ tab[3] = a1 ^ a2;
+
+ s = tab[b & 0x3];
+ l = s;
+ s = tab[b >> 2 & 0x3];
+ l ^= s << 2;
+ h = s >> 6;
+ s = tab[b >> 4 & 0x3];
+ l ^= s << 4;
+ h ^= s >> 4;
+ s = tab[b >> 6];
+ l ^= s << 6;
+ h ^= s >> 2;
+
+ /* compensate for the top bit of a */
+
+ if (top1b & 01) {
+ l ^= b << 7;
+ h ^= b >> 1;
+ }
+
+ *r1 = h;
+ *r0 = l;
+}
#endif
#ifdef SIXTEEN_BIT
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
- {
- register BN_ULONG h, l, s;
- BN_ULONG tab[4], top1b = a >> 15;
- register BN_ULONG a1, a2;
-
- a1 = a & (0x7FFF); a2 = a1 << 1;
-
- tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2;
-
- s = tab[b & 0x3]; l = s;
- s = tab[b >> 2 & 0x3]; l ^= s << 2; h = s >> 14;
- s = tab[b >> 4 & 0x3]; l ^= s << 4; h ^= s >> 12;
- s = tab[b >> 6 & 0x3]; l ^= s << 6; h ^= s >> 10;
- s = tab[b >> 8 & 0x3]; l ^= s << 8; h ^= s >> 8;
- s = tab[b >>10 & 0x3]; l ^= s << 10; h ^= s >> 6;
- s = tab[b >>12 & 0x3]; l ^= s << 12; h ^= s >> 4;
- s = tab[b >>14 ]; l ^= s << 14; h ^= s >> 2;
-
- /* compensate for the top bit of a */
-
- if (top1b & 01) { l ^= b << 15; h ^= b >> 1; }
-
- *r1 = h; *r0 = l;
- }
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a,
+ const BN_ULONG b)
+{
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[4], top1b = a >> 15;
+ register BN_ULONG a1, a2;
+
+ a1 = a & (0x7FFF);
+ a2 = a1 << 1;
+
+ tab[0] = 0;
+ tab[1] = a1;
+ tab[2] = a2;
+ tab[3] = a1 ^ a2;
+
+ s = tab[b & 0x3];
+ l = s;
+ s = tab[b >> 2 & 0x3];
+ l ^= s << 2;
+ h = s >> 14;
+ s = tab[b >> 4 & 0x3];
+ l ^= s << 4;
+ h ^= s >> 12;
+ s = tab[b >> 6 & 0x3];
+ l ^= s << 6;
+ h ^= s >> 10;
+ s = tab[b >> 8 & 0x3];
+ l ^= s << 8;
+ h ^= s >> 8;
+ s = tab[b >> 10 & 0x3];
+ l ^= s << 10;
+ h ^= s >> 6;
+ s = tab[b >> 12 & 0x3];
+ l ^= s << 12;
+ h ^= s >> 4;
+ s = tab[b >> 14];
+ l ^= s << 14;
+ h ^= s >> 2;
+
+ /* compensate for the top bit of a */
+
+ if (top1b & 01) {
+ l ^= b << 15;
+ h ^= b >> 1;
+ }
+
+ *r1 = h;
+ *r0 = l;
+}
#endif
#ifdef THIRTY_TWO_BIT
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
- {
- register BN_ULONG h, l, s;
- BN_ULONG tab[8], top2b = a >> 30;
- register BN_ULONG a1, a2, a4;
-
- a1 = a & (0x3FFFFFFF); a2 = a1 << 1; a4 = a2 << 1;
-
- tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2;
- tab[4] = a4; tab[5] = a1^a4; tab[6] = a2^a4; tab[7] = a1^a2^a4;
-
- s = tab[b & 0x7]; l = s;
- s = tab[b >> 3 & 0x7]; l ^= s << 3; h = s >> 29;
- s = tab[b >> 6 & 0x7]; l ^= s << 6; h ^= s >> 26;
- s = tab[b >> 9 & 0x7]; l ^= s << 9; h ^= s >> 23;
- s = tab[b >> 12 & 0x7]; l ^= s << 12; h ^= s >> 20;
- s = tab[b >> 15 & 0x7]; l ^= s << 15; h ^= s >> 17;
- s = tab[b >> 18 & 0x7]; l ^= s << 18; h ^= s >> 14;
- s = tab[b >> 21 & 0x7]; l ^= s << 21; h ^= s >> 11;
- s = tab[b >> 24 & 0x7]; l ^= s << 24; h ^= s >> 8;
- s = tab[b >> 27 & 0x7]; l ^= s << 27; h ^= s >> 5;
- s = tab[b >> 30 ]; l ^= s << 30; h ^= s >> 2;
-
- /* compensate for the top two bits of a */
-
- if (top2b & 01) { l ^= b << 30; h ^= b >> 2; }
- if (top2b & 02) { l ^= b << 31; h ^= b >> 1; }
-
- *r1 = h; *r0 = l;
- }
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a,
+ const BN_ULONG b)
+{
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[8], top2b = a >> 30;
+ register BN_ULONG a1, a2, a4;
+
+ a1 = a & (0x3FFFFFFF);
+ a2 = a1 << 1;
+ a4 = a2 << 1;
+
+ tab[0] = 0;
+ tab[1] = a1;
+ tab[2] = a2;
+ tab[3] = a1 ^ a2;
+ tab[4] = a4;
+ tab[5] = a1 ^ a4;
+ tab[6] = a2 ^ a4;
+ tab[7] = a1 ^ a2 ^ a4;
+
+ s = tab[b & 0x7];
+ l = s;
+ s = tab[b >> 3 & 0x7];
+ l ^= s << 3;
+ h = s >> 29;
+ s = tab[b >> 6 & 0x7];
+ l ^= s << 6;
+ h ^= s >> 26;
+ s = tab[b >> 9 & 0x7];
+ l ^= s << 9;
+ h ^= s >> 23;
+ s = tab[b >> 12 & 0x7];
+ l ^= s << 12;
+ h ^= s >> 20;
+ s = tab[b >> 15 & 0x7];
+ l ^= s << 15;
+ h ^= s >> 17;
+ s = tab[b >> 18 & 0x7];
+ l ^= s << 18;
+ h ^= s >> 14;
+ s = tab[b >> 21 & 0x7];
+ l ^= s << 21;
+ h ^= s >> 11;
+ s = tab[b >> 24 & 0x7];
+ l ^= s << 24;
+ h ^= s >> 8;
+ s = tab[b >> 27 & 0x7];
+ l ^= s << 27;
+ h ^= s >> 5;
+ s = tab[b >> 30];
+ l ^= s << 30;
+ h ^= s >> 2;
+
+ /* compensate for the top two bits of a */
+
+ if (top2b & 01) {
+ l ^= b << 30;
+ h ^= b >> 2;
+ }
+ if (top2b & 02) {
+ l ^= b << 31;
+ h ^= b >> 1;
+ }
+
+ *r1 = h;
+ *r0 = l;
+}
#endif
#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
- {
- register BN_ULONG h, l, s;
- BN_ULONG tab[16], top3b = a >> 61;
- register BN_ULONG a1, a2, a4, a8;
-
- a1 = a & (0x1FFFFFFFFFFFFFFFULL); a2 = a1 << 1; a4 = a2 << 1; a8 = a4 << 1;
-
- tab[ 0] = 0; tab[ 1] = a1; tab[ 2] = a2; tab[ 3] = a1^a2;
- tab[ 4] = a4; tab[ 5] = a1^a4; tab[ 6] = a2^a4; tab[ 7] = a1^a2^a4;
- tab[ 8] = a8; tab[ 9] = a1^a8; tab[10] = a2^a8; tab[11] = a1^a2^a8;
- tab[12] = a4^a8; tab[13] = a1^a4^a8; tab[14] = a2^a4^a8; tab[15] = a1^a2^a4^a8;
-
- s = tab[b & 0xF]; l = s;
- s = tab[b >> 4 & 0xF]; l ^= s << 4; h = s >> 60;
- s = tab[b >> 8 & 0xF]; l ^= s << 8; h ^= s >> 56;
- s = tab[b >> 12 & 0xF]; l ^= s << 12; h ^= s >> 52;
- s = tab[b >> 16 & 0xF]; l ^= s << 16; h ^= s >> 48;
- s = tab[b >> 20 & 0xF]; l ^= s << 20; h ^= s >> 44;
- s = tab[b >> 24 & 0xF]; l ^= s << 24; h ^= s >> 40;
- s = tab[b >> 28 & 0xF]; l ^= s << 28; h ^= s >> 36;
- s = tab[b >> 32 & 0xF]; l ^= s << 32; h ^= s >> 32;
- s = tab[b >> 36 & 0xF]; l ^= s << 36; h ^= s >> 28;
- s = tab[b >> 40 & 0xF]; l ^= s << 40; h ^= s >> 24;
- s = tab[b >> 44 & 0xF]; l ^= s << 44; h ^= s >> 20;
- s = tab[b >> 48 & 0xF]; l ^= s << 48; h ^= s >> 16;
- s = tab[b >> 52 & 0xF]; l ^= s << 52; h ^= s >> 12;
- s = tab[b >> 56 & 0xF]; l ^= s << 56; h ^= s >> 8;
- s = tab[b >> 60 ]; l ^= s << 60; h ^= s >> 4;
-
- /* compensate for the top three bits of a */
-
- if (top3b & 01) { l ^= b << 61; h ^= b >> 3; }
- if (top3b & 02) { l ^= b << 62; h ^= b >> 2; }
- if (top3b & 04) { l ^= b << 63; h ^= b >> 1; }
-
- *r1 = h; *r0 = l;
- }
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a,
+ const BN_ULONG b)
+{
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[16], top3b = a >> 61;
+ register BN_ULONG a1, a2, a4, a8;
+
+ a1 = a & (0x1FFFFFFFFFFFFFFFULL);
+ a2 = a1 << 1;
+ a4 = a2 << 1;
+ a8 = a4 << 1;
+
+ tab[0] = 0;
+ tab[1] = a1;
+ tab[2] = a2;
+ tab[3] = a1 ^ a2;
+ tab[4] = a4;
+ tab[5] = a1 ^ a4;
+ tab[6] = a2 ^ a4;
+ tab[7] = a1 ^ a2 ^ a4;
+ tab[8] = a8;
+ tab[9] = a1 ^ a8;
+ tab[10] = a2 ^ a8;
+ tab[11] = a1 ^ a2 ^ a8;
+ tab[12] = a4 ^ a8;
+ tab[13] = a1 ^ a4 ^ a8;
+ tab[14] = a2 ^ a4 ^ a8;
+ tab[15] = a1 ^ a2 ^ a4 ^ a8;
+
+ s = tab[b & 0xF];
+ l = s;
+ s = tab[b >> 4 & 0xF];
+ l ^= s << 4;
+ h = s >> 60;
+ s = tab[b >> 8 & 0xF];
+ l ^= s << 8;
+ h ^= s >> 56;
+ s = tab[b >> 12 & 0xF];
+ l ^= s << 12;
+ h ^= s >> 52;
+ s = tab[b >> 16 & 0xF];
+ l ^= s << 16;
+ h ^= s >> 48;
+ s = tab[b >> 20 & 0xF];
+ l ^= s << 20;
+ h ^= s >> 44;
+ s = tab[b >> 24 & 0xF];
+ l ^= s << 24;
+ h ^= s >> 40;
+ s = tab[b >> 28 & 0xF];
+ l ^= s << 28;
+ h ^= s >> 36;
+ s = tab[b >> 32 & 0xF];
+ l ^= s << 32;
+ h ^= s >> 32;
+ s = tab[b >> 36 & 0xF];
+ l ^= s << 36;
+ h ^= s >> 28;
+ s = tab[b >> 40 & 0xF];
+ l ^= s << 40;
+ h ^= s >> 24;
+ s = tab[b >> 44 & 0xF];
+ l ^= s << 44;
+ h ^= s >> 20;
+ s = tab[b >> 48 & 0xF];
+ l ^= s << 48;
+ h ^= s >> 16;
+ s = tab[b >> 52 & 0xF];
+ l ^= s << 52;
+ h ^= s >> 12;
+ s = tab[b >> 56 & 0xF];
+ l ^= s << 56;
+ h ^= s >> 8;
+ s = tab[b >> 60];
+ l ^= s << 60;
+ h ^= s >> 4;
+
+ /* compensate for the top three bits of a */
+
+ if (top3b & 01) {
+ l ^= b << 61;
+ h ^= b >> 3;
+ }
+ if (top3b & 02) {
+ l ^= b << 62;
+ h ^= b >> 2;
+ }
+ if (top3b & 04) {
+ l ^= b << 63;
+ h ^= b >> 1;
+ }
+
+ *r1 = h;
+ *r0 = l;
+}
#endif
-/* Product of two polynomials a, b each with degree < 2 * BN_BITS2 - 1,
- * result is a polynomial r with degree < 4 * BN_BITS2 - 1
- * The caller MUST ensure that the variables have the right amount
- * of space allocated.
+/*
+ * Product of two polynomials a, b each with degree < 2 * BN_BITS2 - 1,
+ * result is a polynomial r with degree < 4 * BN_BITS2 - 1 The caller MUST
+ * ensure that the variables have the right amount of space allocated.
*/
-static void bn_GF2m_mul_2x2(BN_ULONG *r, const BN_ULONG a1, const BN_ULONG a0, const BN_ULONG b1, const BN_ULONG b0)
- {
- BN_ULONG m1, m0;
- /* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */
- bn_GF2m_mul_1x1(r+3, r+2, a1, b1);
- bn_GF2m_mul_1x1(r+1, r, a0, b0);
- bn_GF2m_mul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1);
- /* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */
- r[2] ^= m1 ^ r[1] ^ r[3]; /* h0 ^= m1 ^ l1 ^ h1; */
- r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0; /* l1 ^= l0 ^ h0 ^ m0; */
- }
-
-
-/* Add polynomials a and b and store result in r; r could be a or b, a and b
+static void bn_GF2m_mul_2x2(BN_ULONG *r, const BN_ULONG a1, const BN_ULONG a0,
+ const BN_ULONG b1, const BN_ULONG b0)
+{
+ BN_ULONG m1, m0;
+ /* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */
+ bn_GF2m_mul_1x1(r + 3, r + 2, a1, b1);
+ bn_GF2m_mul_1x1(r + 1, r, a0, b0);
+ bn_GF2m_mul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1);
+ /* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */
+ r[2] ^= m1 ^ r[1] ^ r[3]; /* h0 ^= m1 ^ l1 ^ h1; */
+ r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0; /* l1 ^= l0 ^ h0 ^ m0; */
+}
+
+/*
+ * Add polynomials a and b and store result in r; r could be a or b, a and b
* could be equal; r is the bitwise XOR of a and b.
*/
-int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
- {
- int i;
- const BIGNUM *at, *bt;
-
- bn_check_top(a);
- bn_check_top(b);
-
- if (a->top < b->top) { at = b; bt = a; }
- else { at = a; bt = b; }
-
- if(bn_wexpand(r, at->top) == NULL)
- return 0;
-
- for (i = 0; i < bt->top; i++)
- {
- r->d[i] = at->d[i] ^ bt->d[i];
- }
- for (; i < at->top; i++)
- {
- r->d[i] = at->d[i];
- }
-
- r->top = at->top;
- bn_correct_top(r);
-
- return 1;
- }
-
-
-/* Some functions allow for representation of the irreducible polynomials
+int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+{
+ int i;
+ const BIGNUM *at, *bt;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->top < b->top) {
+ at = b;
+ bt = a;
+ } else {
+ at = a;
+ bt = b;
+ }
+
+ if (bn_wexpand(r, at->top) == NULL)
+ return 0;
+
+ for (i = 0; i < bt->top; i++) {
+ r->d[i] = at->d[i] ^ bt->d[i];
+ }
+ for (; i < at->top; i++) {
+ r->d[i] = at->d[i];
+ }
+
+ r->top = at->top;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+/*-
+ * Some functions allow for representation of the irreducible polynomials
* as an int[], say p. The irreducible f(t) is then of the form:
* t^p[0] + t^p[1] + ... + t^p[k]
* where m = p[0] > p[1] > ... > p[k] = 0.
*/
-
/* Performs modular reduction of a and store result in r. r could be a. */
int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[])
- {
- int j, k;
- int n, dN, d0, d1;
- BN_ULONG zz, *z;
-
- bn_check_top(a);
-
- if (!p[0])
- {
- /* reduction mod 1 => return 0 */
- BN_zero(r);
- return 1;
- }
-
- /* Since the algorithm does reduction in the r value, if a != r, copy
- * the contents of a into r so we can do reduction in r.
- */
- if (a != r)
- {
- if (!bn_wexpand(r, a->top)) return 0;
- for (j = 0; j < a->top; j++)
- {
- r->d[j] = a->d[j];
- }
- r->top = a->top;
- }
- z = r->d;
-
- /* start reduction */
- dN = p[0] / BN_BITS2;
- for (j = r->top - 1; j > dN;)
- {
- zz = z[j];
- if (z[j] == 0) { j--; continue; }
- z[j] = 0;
-
- for (k = 1; p[k] != 0; k++)
- {
- /* reducing component t^p[k] */
- n = p[0] - p[k];
- d0 = n % BN_BITS2; d1 = BN_BITS2 - d0;
- n /= BN_BITS2;
- z[j-n] ^= (zz>>d0);
- if (d0) z[j-n-1] ^= (zz<<d1);
- }
-
- /* reducing component t^0 */
- n = dN;
- d0 = p[0] % BN_BITS2;
- d1 = BN_BITS2 - d0;
- z[j-n] ^= (zz >> d0);
- if (d0) z[j-n-1] ^= (zz << d1);
- }
-
- /* final round of reduction */
- while (j == dN)
- {
-
- d0 = p[0] % BN_BITS2;
- zz = z[dN] >> d0;
- if (zz == 0) break;
- d1 = BN_BITS2 - d0;
-
- /* clear up the top d1 bits */
- if (d0)
- z[dN] = (z[dN] << d1) >> d1;
- else
- z[dN] = 0;
- z[0] ^= zz; /* reduction t^0 component */
-
- for (k = 1; p[k] != 0; k++)
- {
- BN_ULONG tmp_ulong;
-
- /* reducing component t^p[k]*/
- n = p[k] / BN_BITS2;
- d0 = p[k] % BN_BITS2;
- d1 = BN_BITS2 - d0;
- z[n] ^= (zz << d0);
- tmp_ulong = zz >> d1;
- if (d0 && tmp_ulong)
- z[n+1] ^= tmp_ulong;
- }
-
-
- }
-
- bn_correct_top(r);
- return 1;
- }
-
-/* Performs modular reduction of a by p and store result in r. r could be a.
- *
+{
+ int j, k;
+ int n, dN, d0, d1;
+ BN_ULONG zz, *z;
+
+ bn_check_top(a);
+
+ if (!p[0]) {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ /*
+ * Since the algorithm does reduction in the r value, if a != r, copy the
+ * contents of a into r so we can do reduction in r.
+ */
+ if (a != r) {
+ if (!bn_wexpand(r, a->top))
+ return 0;
+ for (j = 0; j < a->top; j++) {
+ r->d[j] = a->d[j];
+ }
+ r->top = a->top;
+ }
+ z = r->d;
+
+ /* start reduction */
+ dN = p[0] / BN_BITS2;
+ for (j = r->top - 1; j > dN;) {
+ zz = z[j];
+ if (z[j] == 0) {
+ j--;
+ continue;
+ }
+ z[j] = 0;
+
+ for (k = 1; p[k] != 0; k++) {
+ /* reducing component t^p[k] */
+ n = p[0] - p[k];
+ d0 = n % BN_BITS2;
+ d1 = BN_BITS2 - d0;
+ n /= BN_BITS2;
+ z[j - n] ^= (zz >> d0);
+ if (d0)
+ z[j - n - 1] ^= (zz << d1);
+ }
+
+ /* reducing component t^0 */
+ n = dN;
+ d0 = p[0] % BN_BITS2;
+ d1 = BN_BITS2 - d0;
+ z[j - n] ^= (zz >> d0);
+ if (d0)
+ z[j - n - 1] ^= (zz << d1);
+ }
+
+ /* final round of reduction */
+ while (j == dN) {
+
+ d0 = p[0] % BN_BITS2;
+ zz = z[dN] >> d0;
+ if (zz == 0)
+ break;
+ d1 = BN_BITS2 - d0;
+
+ /* clear up the top d1 bits */
+ if (d0)
+ z[dN] = (z[dN] << d1) >> d1;
+ else
+ z[dN] = 0;
+ z[0] ^= zz; /* reduction t^0 component */
+
+ for (k = 1; p[k] != 0; k++) {
+ BN_ULONG tmp_ulong;
+
+ /* reducing component t^p[k] */
+ n = p[k] / BN_BITS2;
+ d0 = p[k] % BN_BITS2;
+ d1 = BN_BITS2 - d0;
+ z[n] ^= (zz << d0);
+ tmp_ulong = zz >> d1;
+ if (d0 && tmp_ulong)
+ z[n + 1] ^= tmp_ulong;
+ }
+
+ }
+
+ bn_correct_top(r);
+ return 1;
+}
+
+/*
+ * Performs modular reduction of a by p and store result in r. r could be a.
* This function calls down to the BN_GF2m_mod_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
+ * function is only provided for convenience; for best performance, use the
* BN_GF2m_mod_arr function.
*/
-int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
- bn_check_top(a);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_arr(r, a, arr);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
-
-/* Compute the product of two polynomials a and b, reduce modulo p, and store
+int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p)
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr =
+ (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_arr(r, a, arr);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
+
+/*
+ * Compute the product of two polynomials a and b, reduce modulo p, and store
* the result in r. r could be a or b; a could be b.
*/
-int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const unsigned int p[], BN_CTX *ctx)
- {
- int zlen, i, j, k, ret = 0;
- BIGNUM *s;
- BN_ULONG x1, x0, y1, y0, zz[4];
-
- bn_check_top(a);
- bn_check_top(b);
-
- if (a == b)
- {
- return BN_GF2m_mod_sqr_arr(r, a, p, ctx);
- }
-
- BN_CTX_start(ctx);
- if ((s = BN_CTX_get(ctx)) == NULL) goto err;
-
- zlen = a->top + b->top + 4;
- if (!bn_wexpand(s, zlen)) goto err;
- s->top = zlen;
-
- for (i = 0; i < zlen; i++) s->d[i] = 0;
-
- for (j = 0; j < b->top; j += 2)
- {
- y0 = b->d[j];
- y1 = ((j+1) == b->top) ? 0 : b->d[j+1];
- for (i = 0; i < a->top; i += 2)
- {
- x0 = a->d[i];
- x1 = ((i+1) == a->top) ? 0 : a->d[i+1];
- bn_GF2m_mul_2x2(zz, x1, x0, y1, y0);
- for (k = 0; k < 4; k++) s->d[i+j+k] ^= zz[k];
- }
- }
-
- bn_correct_top(s);
- if (BN_GF2m_mod_arr(r, s, p))
- ret = 1;
- bn_check_top(r);
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Compute the product of two polynomials a and b, reduce modulo p, and store
- * the result in r. r could be a or b; a could equal b.
- *
- * This function calls down to the BN_GF2m_mod_mul_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
+int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const unsigned int p[], BN_CTX *ctx)
+{
+ int zlen, i, j, k, ret = 0;
+ BIGNUM *s;
+ BN_ULONG x1, x0, y1, y0, zz[4];
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a == b) {
+ return BN_GF2m_mod_sqr_arr(r, a, p, ctx);
+ }
+
+ BN_CTX_start(ctx);
+ if ((s = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ zlen = a->top + b->top + 4;
+ if (!bn_wexpand(s, zlen))
+ goto err;
+ s->top = zlen;
+
+ for (i = 0; i < zlen; i++)
+ s->d[i] = 0;
+
+ for (j = 0; j < b->top; j += 2) {
+ y0 = b->d[j];
+ y1 = ((j + 1) == b->top) ? 0 : b->d[j + 1];
+ for (i = 0; i < a->top; i += 2) {
+ x0 = a->d[i];
+ x1 = ((i + 1) == a->top) ? 0 : a->d[i + 1];
+ bn_GF2m_mul_2x2(zz, x1, x0, y1, y0);
+ for (k = 0; k < 4; k++)
+ s->d[i + j + k] ^= zz[k];
+ }
+ }
+
+ bn_correct_top(s);
+ if (BN_GF2m_mod_arr(r, s, p))
+ ret = 1;
+ bn_check_top(r);
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Compute the product of two polynomials a and b, reduce modulo p, and store
+ * the result in r. r could be a or b; a could equal b. This function calls
+ * down to the BN_GF2m_mod_mul_arr implementation; this wrapper function is
+ * only provided for convenience; for best performance, use the
* BN_GF2m_mod_mul_arr function.
*/
-int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
- bn_check_top(a);
- bn_check_top(b);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD_MUL,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
+int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx)
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(p);
+ if ((arr =
+ (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD_MUL, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
/* Square a, reduce the result mod p, and store it in a. r could be a. */
-int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], BN_CTX *ctx)
- {
- int i, ret = 0;
- BIGNUM *s;
-
- bn_check_top(a);
- BN_CTX_start(ctx);
- if ((s = BN_CTX_get(ctx)) == NULL) return 0;
- if (!bn_wexpand(s, 2 * a->top)) goto err;
-
- for (i = a->top - 1; i >= 0; i--)
- {
- s->d[2*i+1] = SQR1(a->d[i]);
- s->d[2*i ] = SQR0(a->d[i]);
- }
-
- s->top = 2 * a->top;
- bn_correct_top(s);
- if (!BN_GF2m_mod_arr(r, s, p)) goto err;
- bn_check_top(r);
- ret = 1;
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Square a, reduce the result mod p, and store it in a. r could be a.
- *
- * This function calls down to the BN_GF2m_mod_sqr_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_sqr_arr function.
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
+ BN_CTX *ctx)
+{
+ int i, ret = 0;
+ BIGNUM *s;
+
+ bn_check_top(a);
+ BN_CTX_start(ctx);
+ if ((s = BN_CTX_get(ctx)) == NULL)
+ return 0;
+ if (!bn_wexpand(s, 2 * a->top))
+ goto err;
+
+ for (i = a->top - 1; i >= 0; i--) {
+ s->d[2 * i + 1] = SQR1(a->d[i]);
+ s->d[2 * i] = SQR0(a->d[i]);
+ }
+
+ s->top = 2 * a->top;
+ bn_correct_top(s);
+ if (!BN_GF2m_mod_arr(r, s, p))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Square a, reduce the result mod p, and store it in a. r could be a. This
+ * function calls down to the BN_GF2m_mod_sqr_arr implementation; this
+ * wrapper function is only provided for convenience; for best performance,
+ * use the BN_GF2m_mod_sqr_arr function.
*/
-int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
-
- bn_check_top(a);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD_SQR,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
-
-/* Invert a, reduce modulo p, and store the result in r. r could be a.
- * Uses Modified Almost Inverse Algorithm (Algorithm 10) from
- * Hankerson, D., Hernandez, J.L., and Menezes, A. "Software Implementation
- * of Elliptic Curve Cryptography Over Binary Fields".
+int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr =
+ (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD_SQR, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
+
+/*
+ * Invert a, reduce modulo p, and store the result in r. r could be a. Uses
+ * Modified Almost Inverse Algorithm (Algorithm 10) from Hankerson, D.,
+ * Hernandez, J.L., and Menezes, A. "Software Implementation of Elliptic
+ * Curve Cryptography Over Binary Fields".
*/
int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
- {
- BIGNUM *b, *c, *u, *v, *tmp;
- int ret = 0;
-
- bn_check_top(a);
- bn_check_top(p);
-
- BN_CTX_start(ctx);
-
- b = BN_CTX_get(ctx);
- c = BN_CTX_get(ctx);
- u = BN_CTX_get(ctx);
- v = BN_CTX_get(ctx);
- if (v == NULL) goto err;
-
- if (!BN_one(b)) goto err;
- if (!BN_GF2m_mod(u, a, p)) goto err;
- if (!BN_copy(v, p)) goto err;
-
- if (BN_is_zero(u)) goto err;
-
- while (1)
- {
- while (!BN_is_odd(u))
- {
- if (BN_is_zero(u)) goto err;
- if (!BN_rshift1(u, u)) goto err;
- if (BN_is_odd(b))
- {
- if (!BN_GF2m_add(b, b, p)) goto err;
- }
- if (!BN_rshift1(b, b)) goto err;
- }
-
- if (BN_abs_is_word(u, 1)) break;
-
- if (BN_num_bits(u) < BN_num_bits(v))
- {
- tmp = u; u = v; v = tmp;
- tmp = b; b = c; c = tmp;
- }
-
- if (!BN_GF2m_add(u, u, v)) goto err;
- if (!BN_GF2m_add(b, b, c)) goto err;
- }
-
-
- if (!BN_copy(r, b)) goto err;
- bn_check_top(r);
- ret = 1;
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Invert xx, reduce modulo p, and store the result in r. r could be xx.
- *
- * This function calls down to the BN_GF2m_mod_inv implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_inv function.
- */
-int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const unsigned int p[], BN_CTX *ctx)
- {
- BIGNUM *field;
- int ret = 0;
-
- bn_check_top(xx);
- BN_CTX_start(ctx);
- if ((field = BN_CTX_get(ctx)) == NULL) goto err;
- if (!BN_GF2m_arr2poly(p, field)) goto err;
-
- ret = BN_GF2m_mod_inv(r, xx, field, ctx);
- bn_check_top(r);
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
+{
+ BIGNUM *b, *c, *u, *v, *tmp;
+ int ret = 0;
+
+ bn_check_top(a);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+
+ b = BN_CTX_get(ctx);
+ c = BN_CTX_get(ctx);
+ u = BN_CTX_get(ctx);
+ v = BN_CTX_get(ctx);
+ if (v == NULL)
+ goto err;
+
+ if (!BN_one(b))
+ goto err;
+ if (!BN_GF2m_mod(u, a, p))
+ goto err;
+ if (!BN_copy(v, p))
+ goto err;
+
+ if (BN_is_zero(u))
+ goto err;
+
+ while (1) {
+ while (!BN_is_odd(u)) {
+ if (BN_is_zero(u))
+ goto err;
+ if (!BN_rshift1(u, u))
+ goto err;
+ if (BN_is_odd(b)) {
+ if (!BN_GF2m_add(b, b, p))
+ goto err;
+ }
+ if (!BN_rshift1(b, b))
+ goto err;
+ }
+
+ if (BN_abs_is_word(u, 1))
+ break;
+
+ if (BN_num_bits(u) < BN_num_bits(v)) {
+ tmp = u;
+ u = v;
+ v = tmp;
+ tmp = b;
+ b = c;
+ c = tmp;
+ }
+
+ if (!BN_GF2m_add(u, u, v))
+ goto err;
+ if (!BN_GF2m_add(b, b, c))
+ goto err;
+ }
+
+ if (!BN_copy(r, b))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+/*
+ * Invert xx, reduce modulo p, and store the result in r. r could be xx.
+ * This function calls down to the BN_GF2m_mod_inv implementation; this
+ * wrapper function is only provided for convenience; for best performance,
+ * use the BN_GF2m_mod_inv function.
+ */
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const unsigned int p[],
+ BN_CTX *ctx)
+{
+ BIGNUM *field;
+ int ret = 0;
+
+ bn_check_top(xx);
+ BN_CTX_start(ctx);
+ if ((field = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ if (!BN_GF2m_arr2poly(p, field))
+ goto err;
+
+ ret = BN_GF2m_mod_inv(r, xx, field, ctx);
+ bn_check_top(r);
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
#ifndef OPENSSL_SUN_GF2M_DIV
-/* Divide y by x, reduce modulo p, and store the result in r. r could be x
+/*
+ * Divide y by x, reduce modulo p, and store the result in r. r could be x
* or y, x could equal y.
*/
-int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
- {
- BIGNUM *xinv = NULL;
- int ret = 0;
-
- bn_check_top(y);
- bn_check_top(x);
- bn_check_top(p);
-
- BN_CTX_start(ctx);
- xinv = BN_CTX_get(ctx);
- if (xinv == NULL) goto err;
-
- if (!BN_GF2m_mod_inv(xinv, x, p, ctx)) goto err;
- if (!BN_GF2m_mod_mul(r, y, xinv, p, ctx)) goto err;
- bn_check_top(r);
- ret = 1;
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x,
+ const BIGNUM *p, BN_CTX *ctx)
+{
+ BIGNUM *xinv = NULL;
+ int ret = 0;
+
+ bn_check_top(y);
+ bn_check_top(x);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+ xinv = BN_CTX_get(ctx);
+ if (xinv == NULL)
+ goto err;
+
+ if (!BN_GF2m_mod_inv(xinv, x, p, ctx))
+ goto err;
+ if (!BN_GF2m_mod_mul(r, y, xinv, p, ctx))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
#else
-/* Divide y by x, reduce modulo p, and store the result in r. r could be x
- * or y, x could equal y.
- * Uses algorithm Modular_Division_GF(2^m) from
- * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to
- * the Great Divide".
+/*
+ * Divide y by x, reduce modulo p, and store the result in r. r could be x
+ * or y, x could equal y. Uses algorithm Modular_Division_GF(2^m) from
+ * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to the
+ * Great Divide".
*/
-int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
- {
- BIGNUM *a, *b, *u, *v;
- int ret = 0;
-
- bn_check_top(y);
- bn_check_top(x);
- bn_check_top(p);
-
- BN_CTX_start(ctx);
-
- a = BN_CTX_get(ctx);
- b = BN_CTX_get(ctx);
- u = BN_CTX_get(ctx);
- v = BN_CTX_get(ctx);
- if (v == NULL) goto err;
-
- /* reduce x and y mod p */
- if (!BN_GF2m_mod(u, y, p)) goto err;
- if (!BN_GF2m_mod(a, x, p)) goto err;
- if (!BN_copy(b, p)) goto err;
-
- while (!BN_is_odd(a))
- {
- if (!BN_rshift1(a, a)) goto err;
- if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
- if (!BN_rshift1(u, u)) goto err;
- }
-
- do
- {
- if (BN_GF2m_cmp(b, a) > 0)
- {
- if (!BN_GF2m_add(b, b, a)) goto err;
- if (!BN_GF2m_add(v, v, u)) goto err;
- do
- {
- if (!BN_rshift1(b, b)) goto err;
- if (BN_is_odd(v)) if (!BN_GF2m_add(v, v, p)) goto err;
- if (!BN_rshift1(v, v)) goto err;
- } while (!BN_is_odd(b));
- }
- else if (BN_abs_is_word(a, 1))
- break;
- else
- {
- if (!BN_GF2m_add(a, a, b)) goto err;
- if (!BN_GF2m_add(u, u, v)) goto err;
- do
- {
- if (!BN_rshift1(a, a)) goto err;
- if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
- if (!BN_rshift1(u, u)) goto err;
- } while (!BN_is_odd(a));
- }
- } while (1);
-
- if (!BN_copy(r, u)) goto err;
- bn_check_top(r);
- ret = 1;
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x,
+ const BIGNUM *p, BN_CTX *ctx)
+{
+ BIGNUM *a, *b, *u, *v;
+ int ret = 0;
+
+ bn_check_top(y);
+ bn_check_top(x);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ u = BN_CTX_get(ctx);
+ v = BN_CTX_get(ctx);
+ if (v == NULL)
+ goto err;
+
+ /* reduce x and y mod p */
+ if (!BN_GF2m_mod(u, y, p))
+ goto err;
+ if (!BN_GF2m_mod(a, x, p))
+ goto err;
+ if (!BN_copy(b, p))
+ goto err;
+
+ while (!BN_is_odd(a)) {
+ if (!BN_rshift1(a, a))
+ goto err;
+ if (BN_is_odd(u))
+ if (!BN_GF2m_add(u, u, p))
+ goto err;
+ if (!BN_rshift1(u, u))
+ goto err;
+ }
+
+ do {
+ if (BN_GF2m_cmp(b, a) > 0) {
+ if (!BN_GF2m_add(b, b, a))
+ goto err;
+ if (!BN_GF2m_add(v, v, u))
+ goto err;
+ do {
+ if (!BN_rshift1(b, b))
+ goto err;
+ if (BN_is_odd(v))
+ if (!BN_GF2m_add(v, v, p))
+ goto err;
+ if (!BN_rshift1(v, v))
+ goto err;
+ } while (!BN_is_odd(b));
+ } else if (BN_abs_is_word(a, 1))
+ break;
+ else {
+ if (!BN_GF2m_add(a, a, b))
+ goto err;
+ if (!BN_GF2m_add(u, u, v))
+ goto err;
+ do {
+ if (!BN_rshift1(a, a))
+ goto err;
+ if (BN_is_odd(u))
+ if (!BN_GF2m_add(u, u, p))
+ goto err;
+ if (!BN_rshift1(u, u))
+ goto err;
+ } while (!BN_is_odd(a));
+ }
+ } while (1);
+
+ if (!BN_copy(r, u))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
#endif
-/* Divide yy by xx, reduce modulo p, and store the result in r. r could be xx
- * or yy, xx could equal yy.
- *
- * This function calls down to the BN_GF2m_mod_div implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_div function.
+/*
+ * Divide yy by xx, reduce modulo p, and store the result in r. r could be xx
+ * * or yy, xx could equal yy. This function calls down to the
+ * BN_GF2m_mod_div implementation; this wrapper function is only provided for
+ * convenience; for best performance, use the BN_GF2m_mod_div function.
*/
-int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx, const unsigned int p[], BN_CTX *ctx)
- {
- BIGNUM *field;
- int ret = 0;
-
- bn_check_top(yy);
- bn_check_top(xx);
-
- BN_CTX_start(ctx);
- if ((field = BN_CTX_get(ctx)) == NULL) goto err;
- if (!BN_GF2m_arr2poly(p, field)) goto err;
-
- ret = BN_GF2m_mod_div(r, yy, xx, field, ctx);
- bn_check_top(r);
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-
-/* Compute the bth power of a, reduce modulo p, and store
- * the result in r. r could be a.
- * Uses simple square-and-multiply algorithm A.5.1 from IEEE P1363.
+int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx,
+ const unsigned int p[], BN_CTX *ctx)
+{
+ BIGNUM *field;
+ int ret = 0;
+
+ bn_check_top(yy);
+ bn_check_top(xx);
+
+ BN_CTX_start(ctx);
+ if ((field = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ if (!BN_GF2m_arr2poly(p, field))
+ goto err;
+
+ ret = BN_GF2m_mod_div(r, yy, xx, field, ctx);
+ bn_check_top(r);
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Compute the bth power of a, reduce modulo p, and store the result in r. r
+ * could be a. Uses simple square-and-multiply algorithm A.5.1 from IEEE
+ * P1363.
*/
-int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const unsigned int p[], BN_CTX *ctx)
- {
- int ret = 0, i, n;
- BIGNUM *u;
-
- bn_check_top(a);
- bn_check_top(b);
-
- if (BN_is_zero(b))
- return(BN_one(r));
-
- if (BN_abs_is_word(b, 1))
- return (BN_copy(r, a) != NULL);
-
- BN_CTX_start(ctx);
- if ((u = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_GF2m_mod_arr(u, a, p)) goto err;
-
- n = BN_num_bits(b) - 1;
- for (i = n - 1; i >= 0; i--)
- {
- if (!BN_GF2m_mod_sqr_arr(u, u, p, ctx)) goto err;
- if (BN_is_bit_set(b, i))
- {
- if (!BN_GF2m_mod_mul_arr(u, u, a, p, ctx)) goto err;
- }
- }
- if (!BN_copy(r, u)) goto err;
- bn_check_top(r);
- ret = 1;
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Compute the bth power of a, reduce modulo p, and store
- * the result in r. r could be a.
- *
- * This function calls down to the BN_GF2m_mod_exp_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_exp_arr function.
+int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const unsigned int p[], BN_CTX *ctx)
+{
+ int ret = 0, i, n;
+ BIGNUM *u;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (BN_is_zero(b))
+ return (BN_one(r));
+
+ if (BN_abs_is_word(b, 1))
+ return (BN_copy(r, a) != NULL);
+
+ BN_CTX_start(ctx);
+ if ((u = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ if (!BN_GF2m_mod_arr(u, a, p))
+ goto err;
+
+ n = BN_num_bits(b) - 1;
+ for (i = n - 1; i >= 0; i--) {
+ if (!BN_GF2m_mod_sqr_arr(u, u, p, ctx))
+ goto err;
+ if (BN_is_bit_set(b, i)) {
+ if (!BN_GF2m_mod_mul_arr(u, u, a, p, ctx))
+ goto err;
+ }
+ }
+ if (!BN_copy(r, u))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Compute the bth power of a, reduce modulo p, and store the result in r. r
+ * could be a. This function calls down to the BN_GF2m_mod_exp_arr
+ * implementation; this wrapper function is only provided for convenience;
+ * for best performance, use the BN_GF2m_mod_exp_arr function.
*/
-int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
- bn_check_top(a);
- bn_check_top(b);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD_EXP,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
-/* Compute the square root of a, reduce modulo p, and store
- * the result in r. r could be a.
- * Uses exponentiation as in algorithm A.4.1 from IEEE P1363.
+int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx)
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(p);
+ if ((arr =
+ (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD_EXP, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
+
+/*
+ * Compute the square root of a, reduce modulo p, and store the result in r.
+ * r could be a. Uses exponentiation as in algorithm A.4.1 from IEEE P1363.
*/
-int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], BN_CTX *ctx)
- {
- int ret = 0;
- BIGNUM *u;
-
- bn_check_top(a);
-
- if (!p[0])
- {
- /* reduction mod 1 => return 0 */
- BN_zero(r);
- return 1;
- }
-
- BN_CTX_start(ctx);
- if ((u = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_set_bit(u, p[0] - 1)) goto err;
- ret = BN_GF2m_mod_exp_arr(r, a, u, p, ctx);
- bn_check_top(r);
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Compute the square root of a, reduce modulo p, and store
- * the result in r. r could be a.
- *
- * This function calls down to the BN_GF2m_mod_sqrt_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_sqrt_arr function.
+int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
+ BN_CTX *ctx)
+{
+ int ret = 0;
+ BIGNUM *u;
+
+ bn_check_top(a);
+
+ if (!p[0]) {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ if ((u = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ if (!BN_set_bit(u, p[0] - 1))
+ goto err;
+ ret = BN_GF2m_mod_exp_arr(r, a, u, p, ctx);
+ bn_check_top(r);
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Compute the square root of a, reduce modulo p, and store the result in r.
+ * r could be a. This function calls down to the BN_GF2m_mod_sqrt_arr
+ * implementation; this wrapper function is only provided for convenience;
+ * for best performance, use the BN_GF2m_mod_sqrt_arr function.
*/
int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
- bn_check_top(a);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD_SQRT,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
-/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0.
- * Uses algorithms A.4.7 and A.4.6 from IEEE P1363.
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr =
+ (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD_SQRT, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
+
+/*
+ * Find r such that r^2 + r = a mod p. r could be a. If no r exists returns
+ * 0. Uses algorithms A.4.7 and A.4.6 from IEEE P1363.
*/
-int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_, const unsigned int p[], BN_CTX *ctx)
- {
- int ret = 0, count = 0;
- unsigned int j;
- BIGNUM *a, *z, *rho, *w, *w2, *tmp;
-
- bn_check_top(a_);
-
- if (!p[0])
- {
- /* reduction mod 1 => return 0 */
- BN_zero(r);
- return 1;
- }
-
- BN_CTX_start(ctx);
- a = BN_CTX_get(ctx);
- z = BN_CTX_get(ctx);
- w = BN_CTX_get(ctx);
- if (w == NULL) goto err;
-
- if (!BN_GF2m_mod_arr(a, a_, p)) goto err;
-
- if (BN_is_zero(a))
- {
- BN_zero(r);
- ret = 1;
- goto err;
- }
-
- if (p[0] & 0x1) /* m is odd */
- {
- /* compute half-trace of a */
- if (!BN_copy(z, a)) goto err;
- for (j = 1; j <= (p[0] - 1) / 2; j++)
- {
- if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
- if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
- if (!BN_GF2m_add(z, z, a)) goto err;
- }
-
- }
- else /* m is even */
- {
- rho = BN_CTX_get(ctx);
- w2 = BN_CTX_get(ctx);
- tmp = BN_CTX_get(ctx);
- if (tmp == NULL) goto err;
- do
- {
- if (!BN_rand(rho, p[0], 0, 0)) goto err;
- if (!BN_GF2m_mod_arr(rho, rho, p)) goto err;
- BN_zero(z);
- if (!BN_copy(w, rho)) goto err;
- for (j = 1; j <= p[0] - 1; j++)
- {
- if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
- if (!BN_GF2m_mod_sqr_arr(w2, w, p, ctx)) goto err;
- if (!BN_GF2m_mod_mul_arr(tmp, w2, a, p, ctx)) goto err;
- if (!BN_GF2m_add(z, z, tmp)) goto err;
- if (!BN_GF2m_add(w, w2, rho)) goto err;
- }
- count++;
- } while (BN_is_zero(w) && (count < MAX_ITERATIONS));
- if (BN_is_zero(w))
- {
- BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR,BN_R_TOO_MANY_ITERATIONS);
- goto err;
- }
- }
-
- if (!BN_GF2m_mod_sqr_arr(w, z, p, ctx)) goto err;
- if (!BN_GF2m_add(w, z, w)) goto err;
- if (BN_GF2m_cmp(w, a))
- {
- BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_NO_SOLUTION);
- goto err;
- }
-
- if (!BN_copy(r, z)) goto err;
- bn_check_top(r);
-
- ret = 1;
-
-err:
- BN_CTX_end(ctx);
- return ret;
- }
-
-/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0.
- *
- * This function calls down to the BN_GF2m_mod_solve_quad_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the
- * BN_GF2m_mod_solve_quad_arr function.
+int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_,
+ const unsigned int p[], BN_CTX *ctx)
+{
+ int ret = 0, count = 0;
+ unsigned int j;
+ BIGNUM *a, *z, *rho, *w, *w2, *tmp;
+
+ bn_check_top(a_);
+
+ if (!p[0]) {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ z = BN_CTX_get(ctx);
+ w = BN_CTX_get(ctx);
+ if (w == NULL)
+ goto err;
+
+ if (!BN_GF2m_mod_arr(a, a_, p))
+ goto err;
+
+ if (BN_is_zero(a)) {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ if (p[0] & 0x1) { /* m is odd */
+ /* compute half-trace of a */
+ if (!BN_copy(z, a))
+ goto err;
+ for (j = 1; j <= (p[0] - 1) / 2; j++) {
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx))
+ goto err;
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx))
+ goto err;
+ if (!BN_GF2m_add(z, z, a))
+ goto err;
+ }
+
+ } else { /* m is even */
+
+ rho = BN_CTX_get(ctx);
+ w2 = BN_CTX_get(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL)
+ goto err;
+ do {
+ if (!BN_rand(rho, p[0], 0, 0))
+ goto err;
+ if (!BN_GF2m_mod_arr(rho, rho, p))
+ goto err;
+ BN_zero(z);
+ if (!BN_copy(w, rho))
+ goto err;
+ for (j = 1; j <= p[0] - 1; j++) {
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx))
+ goto err;
+ if (!BN_GF2m_mod_sqr_arr(w2, w, p, ctx))
+ goto err;
+ if (!BN_GF2m_mod_mul_arr(tmp, w2, a, p, ctx))
+ goto err;
+ if (!BN_GF2m_add(z, z, tmp))
+ goto err;
+ if (!BN_GF2m_add(w, w2, rho))
+ goto err;
+ }
+ count++;
+ } while (BN_is_zero(w) && (count < MAX_ITERATIONS));
+ if (BN_is_zero(w)) {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_TOO_MANY_ITERATIONS);
+ goto err;
+ }
+ }
+
+ if (!BN_GF2m_mod_sqr_arr(w, z, p, ctx))
+ goto err;
+ if (!BN_GF2m_add(w, z, w))
+ goto err;
+ if (BN_GF2m_cmp(w, a)) {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_NO_SOLUTION);
+ goto err;
+ }
+
+ if (!BN_copy(r, z))
+ goto err;
+ bn_check_top(r);
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
+/*
+ * Find r such that r^2 + r = a mod p. r could be a. If no r exists returns
+ * 0. This function calls down to the BN_GF2m_mod_solve_quad_arr
+ * implementation; this wrapper function is only provided for convenience;
+ * for best performance, use the BN_GF2m_mod_solve_quad_arr function.
*/
-int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
- {
- int ret = 0;
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL;
- bn_check_top(a);
- bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) *
- max)) == NULL) goto err;
- ret = BN_GF2m_poly2arr(p, arr, max);
- if (!ret || ret > max)
- {
- BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD,BN_R_INVALID_LENGTH);
- goto err;
- }
- ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx);
- bn_check_top(r);
-err:
- if (arr) OPENSSL_free(arr);
- return ret;
- }
-
-/* Convert the bit-string representation of a polynomial
- * ( \sum_{i=0}^n a_i * x^i , where a_0 is *not* zero) into an array
- * of integers corresponding to the bits with non-zero coefficient.
- * Up to max elements of the array will be filled. Return value is total
- * number of coefficients that would be extracted if array was large enough.
+int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx)
+{
+ int ret = 0;
+ const int max = BN_num_bits(p);
+ unsigned int *arr = NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) *
+ max)) == NULL)
+ goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max) {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD, BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx);
+ bn_check_top(r);
+ err:
+ if (arr)
+ OPENSSL_free(arr);
+ return ret;
+}
+
+/*
+ * Convert the bit-string representation of a polynomial ( \sum_{i=0}^n a_i *
+ * x^i , where a_0 is *not* zero) into an array of integers corresponding to
+ * the bits with non-zero coefficient. Up to max elements of the array will
+ * be filled. Return value is total number of coefficients that would be
+ * extracted if array was large enough.
*/
int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max)
- {
- int i, j, k = 0;
- BN_ULONG mask;
-
- if (BN_is_zero(a) || !BN_is_bit_set(a, 0))
- /* a_0 == 0 => return error (the unsigned int array
- * must be terminated by 0)
- */
- return 0;
-
- for (i = a->top - 1; i >= 0; i--)
- {
- if (!a->d[i])
- /* skip word if a->d[i] == 0 */
- continue;
- mask = BN_TBIT;
- for (j = BN_BITS2 - 1; j >= 0; j--)
- {
- if (a->d[i] & mask)
- {
- if (k < max) p[k] = BN_BITS2 * i + j;
- k++;
- }
- mask >>= 1;
- }
- }
-
- return k;
- }
-
-/* Convert the coefficient array representation of a polynomial to a
+{
+ int i, j, k = 0;
+ BN_ULONG mask;
+
+ if (BN_is_zero(a) || !BN_is_bit_set(a, 0))
+ /*
+ * a_0 == 0 => return error (the unsigned int array must be
+ * terminated by 0)
+ */
+ return 0;
+
+ for (i = a->top - 1; i >= 0; i--) {
+ if (!a->d[i])
+ /* skip word if a->d[i] == 0 */
+ continue;
+ mask = BN_TBIT;
+ for (j = BN_BITS2 - 1; j >= 0; j--) {
+ if (a->d[i] & mask) {
+ if (k < max)
+ p[k] = BN_BITS2 * i + j;
+ k++;
+ }
+ mask >>= 1;
+ }
+ }
+
+ return k;
+}
+
+/*
+ * Convert the coefficient array representation of a polynomial to a
* bit-string. The array must be terminated by 0.
*/
int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a)
- {
- int i;
-
- bn_check_top(a);
- BN_zero(a);
- for (i = 0; p[i] != 0; i++)
- {
- if (BN_set_bit(a, p[i]) == 0)
- return 0;
- }
- BN_set_bit(a, 0);
- bn_check_top(a);
-
- return 1;
- }
-
-/*
- * Constant-time conditional swap of a and b.
+{
+ int i;
+
+ bn_check_top(a);
+ BN_zero(a);
+ for (i = 0; p[i] != 0; i++) {
+ if (BN_set_bit(a, p[i]) == 0)
+ return 0;
+ }
+ BN_set_bit(a, 0);
+ bn_check_top(a);
+
+ return 1;
+}
+
+/*
+ * Constant-time conditional swap of a and b.
* a and b are swapped if condition is not 0. The code assumes that at most one bit of condition is set.
* nwords is the number of words to swap. The code assumes that at least nwords are allocated in both a and b,
* and that no more than nwords are used by either a or b.
* a and b cannot be the same number
*/
void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords)
- {
- BN_ULONG t;
- int i;
+{
+ BN_ULONG t;
+ int i;
- bn_wcheck_size(a, nwords);
- bn_wcheck_size(b, nwords);
+ bn_wcheck_size(a, nwords);
+ bn_wcheck_size(b, nwords);
- assert(a != b);
- assert((condition & (condition - 1)) == 0);
- assert(sizeof(BN_ULONG) >= sizeof(int));
+ assert(a != b);
+ assert((condition & (condition - 1)) == 0);
+ assert(sizeof(BN_ULONG) >= sizeof(int));
- condition = ((condition - 1) >> (BN_BITS2 - 1)) - 1;
+ condition = ((condition - 1) >> (BN_BITS2 - 1)) - 1;
- t = (a->top^b->top) & condition;
- a->top ^= t;
- b->top ^= t;
+ t = (a->top ^ b->top) & condition;
+ a->top ^= t;
+ b->top ^= t;
#define BN_CONSTTIME_SWAP(ind) \
- do { \
- t = (a->d[ind] ^ b->d[ind]) & condition; \
- a->d[ind] ^= t; \
- b->d[ind] ^= t; \
- } while (0)
-
-
- switch (nwords) {
- default:
- for (i = 10; i < nwords; i++)
- BN_CONSTTIME_SWAP(i);
- /* Fallthrough */
- case 10: BN_CONSTTIME_SWAP(9); /* Fallthrough */
- case 9: BN_CONSTTIME_SWAP(8); /* Fallthrough */
- case 8: BN_CONSTTIME_SWAP(7); /* Fallthrough */
- case 7: BN_CONSTTIME_SWAP(6); /* Fallthrough */
- case 6: BN_CONSTTIME_SWAP(5); /* Fallthrough */
- case 5: BN_CONSTTIME_SWAP(4); /* Fallthrough */
- case 4: BN_CONSTTIME_SWAP(3); /* Fallthrough */
- case 3: BN_CONSTTIME_SWAP(2); /* Fallthrough */
- case 2: BN_CONSTTIME_SWAP(1); /* Fallthrough */
- case 1: BN_CONSTTIME_SWAP(0);
- }
+ do { \
+ t = (a->d[ind] ^ b->d[ind]) & condition; \
+ a->d[ind] ^= t; \
+ b->d[ind] ^= t; \
+ } while (0)
+
+ switch (nwords) {
+ default:
+ for (i = 10; i < nwords; i++)
+ BN_CONSTTIME_SWAP(i);
+ /* Fallthrough */
+ case 10:
+ BN_CONSTTIME_SWAP(9); /* Fallthrough */
+ case 9:
+ BN_CONSTTIME_SWAP(8); /* Fallthrough */
+ case 8:
+ BN_CONSTTIME_SWAP(7); /* Fallthrough */
+ case 7:
+ BN_CONSTTIME_SWAP(6); /* Fallthrough */
+ case 6:
+ BN_CONSTTIME_SWAP(5); /* Fallthrough */
+ case 5:
+ BN_CONSTTIME_SWAP(4); /* Fallthrough */
+ case 4:
+ BN_CONSTTIME_SWAP(3); /* Fallthrough */
+ case 3:
+ BN_CONSTTIME_SWAP(2); /* Fallthrough */
+ case 2:
+ BN_CONSTTIME_SWAP(1); /* Fallthrough */
+ case 1:
+ BN_CONSTTIME_SWAP(0);
+ }
#undef BN_CONSTTIME_SWAP
}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_kron.c b/Cryptlib/OpenSSL/crypto/bn/bn_kron.c
index 740359b7..88d731ac 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_kron.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_kron.c
@@ -7,7 +7,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -61,124 +61,126 @@
/* Returns -2 for errors because both -1 and 0 are valid results. */
int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
- {
- int i;
- int ret = -2; /* avoid 'uninitialized' warning */
- int err = 0;
- BIGNUM *A, *B, *tmp;
- /* In 'tab', only odd-indexed entries are relevant:
- * For any odd BIGNUM n,
- * tab[BN_lsw(n) & 7]
- * is $(-1)^{(n^2-1)/8}$ (using TeX notation).
- * Note that the sign of n does not matter.
- */
- static const int tab[8] = {0, 1, 0, -1, 0, -1, 0, 1};
-
- bn_check_top(a);
- bn_check_top(b);
-
- BN_CTX_start(ctx);
- A = BN_CTX_get(ctx);
- B = BN_CTX_get(ctx);
- if (B == NULL) goto end;
-
- err = !BN_copy(A, a);
- if (err) goto end;
- err = !BN_copy(B, b);
- if (err) goto end;
-
- /*
- * Kronecker symbol, imlemented according to Henri Cohen,
- * "A Course in Computational Algebraic Number Theory"
- * (algorithm 1.4.10).
- */
-
- /* Cohen's step 1: */
-
- if (BN_is_zero(B))
- {
- ret = BN_abs_is_word(A, 1);
- goto end;
- }
-
- /* Cohen's step 2: */
-
- if (!BN_is_odd(A) && !BN_is_odd(B))
- {
- ret = 0;
- goto end;
- }
-
- /* now B is non-zero */
- i = 0;
- while (!BN_is_bit_set(B, i))
- i++;
- err = !BN_rshift(B, B, i);
- if (err) goto end;
- if (i & 1)
- {
- /* i is odd */
- /* (thus B was even, thus A must be odd!) */
-
- /* set 'ret' to $(-1)^{(A^2-1)/8}$ */
- ret = tab[BN_lsw(A) & 7];
- }
- else
- {
- /* i is even */
- ret = 1;
- }
-
- if (B->neg)
- {
- B->neg = 0;
- if (A->neg)
- ret = -ret;
- }
-
- /* now B is positive and odd, so what remains to be done is
- * to compute the Jacobi symbol (A/B) and multiply it by 'ret' */
-
- while (1)
- {
- /* Cohen's step 3: */
-
- /* B is positive and odd */
-
- if (BN_is_zero(A))
- {
- ret = BN_is_one(B) ? ret : 0;
- goto end;
- }
-
- /* now A is non-zero */
- i = 0;
- while (!BN_is_bit_set(A, i))
- i++;
- err = !BN_rshift(A, A, i);
- if (err) goto end;
- if (i & 1)
- {
- /* i is odd */
- /* multiply 'ret' by $(-1)^{(B^2-1)/8}$ */
- ret = ret * tab[BN_lsw(B) & 7];
- }
-
- /* Cohen's step 4: */
- /* multiply 'ret' by $(-1)^{(A-1)(B-1)/4}$ */
- if ((A->neg ? ~BN_lsw(A) : BN_lsw(A)) & BN_lsw(B) & 2)
- ret = -ret;
-
- /* (A, B) := (B mod |A|, |A|) */
- err = !BN_nnmod(B, B, A, ctx);
- if (err) goto end;
- tmp = A; A = B; B = tmp;
- tmp->neg = 0;
- }
-end:
- BN_CTX_end(ctx);
- if (err)
- return -2;
- else
- return ret;
- }
+{
+ int i;
+ int ret = -2; /* avoid 'uninitialized' warning */
+ int err = 0;
+ BIGNUM *A, *B, *tmp;
+ /*-
+ * In 'tab', only odd-indexed entries are relevant:
+ * For any odd BIGNUM n,
+ * tab[BN_lsw(n) & 7]
+ * is $(-1)^{(n^2-1)/8}$ (using TeX notation).
+ * Note that the sign of n does not matter.
+ */
+ static const int tab[8] = { 0, 1, 0, -1, 0, -1, 0, 1 };
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ if (B == NULL)
+ goto end;
+
+ err = !BN_copy(A, a);
+ if (err)
+ goto end;
+ err = !BN_copy(B, b);
+ if (err)
+ goto end;
+
+ /*
+ * Kronecker symbol, imlemented according to Henri Cohen,
+ * "A Course in Computational Algebraic Number Theory"
+ * (algorithm 1.4.10).
+ */
+
+ /* Cohen's step 1: */
+
+ if (BN_is_zero(B)) {
+ ret = BN_abs_is_word(A, 1);
+ goto end;
+ }
+
+ /* Cohen's step 2: */
+
+ if (!BN_is_odd(A) && !BN_is_odd(B)) {
+ ret = 0;
+ goto end;
+ }
+
+ /* now B is non-zero */
+ i = 0;
+ while (!BN_is_bit_set(B, i))
+ i++;
+ err = !BN_rshift(B, B, i);
+ if (err)
+ goto end;
+ if (i & 1) {
+ /* i is odd */
+ /* (thus B was even, thus A must be odd!) */
+
+ /* set 'ret' to $(-1)^{(A^2-1)/8}$ */
+ ret = tab[BN_lsw(A) & 7];
+ } else {
+ /* i is even */
+ ret = 1;
+ }
+
+ if (B->neg) {
+ B->neg = 0;
+ if (A->neg)
+ ret = -ret;
+ }
+
+ /*
+ * now B is positive and odd, so what remains to be done is to compute
+ * the Jacobi symbol (A/B) and multiply it by 'ret'
+ */
+
+ while (1) {
+ /* Cohen's step 3: */
+
+ /* B is positive and odd */
+
+ if (BN_is_zero(A)) {
+ ret = BN_is_one(B) ? ret : 0;
+ goto end;
+ }
+
+ /* now A is non-zero */
+ i = 0;
+ while (!BN_is_bit_set(A, i))
+ i++;
+ err = !BN_rshift(A, A, i);
+ if (err)
+ goto end;
+ if (i & 1) {
+ /* i is odd */
+ /* multiply 'ret' by $(-1)^{(B^2-1)/8}$ */
+ ret = ret * tab[BN_lsw(B) & 7];
+ }
+
+ /* Cohen's step 4: */
+ /* multiply 'ret' by $(-1)^{(A-1)(B-1)/4}$ */
+ if ((A->neg ? ~BN_lsw(A) : BN_lsw(A)) & BN_lsw(B) & 2)
+ ret = -ret;
+
+ /* (A, B) := (B mod |A|, |A|) */
+ err = !BN_nnmod(B, B, A, ctx);
+ if (err)
+ goto end;
+ tmp = A;
+ A = B;
+ B = tmp;
+ tmp->neg = 0;
+ }
+ end:
+ BN_CTX_end(ctx);
+ if (err)
+ return -2;
+ else
+ return ret;
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_lib.c b/Cryptlib/OpenSSL/crypto/bn/bn_lib.c
index c288844a..becb9571 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_lib.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_lib.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -57,7 +57,7 @@
*/
#ifndef BN_DEBUG
-# undef NDEBUG /* avoid conflicting definitions */
+# undef NDEBUG /* avoid conflicting definitions */
# define NDEBUG
#endif
@@ -67,11 +67,12 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT;
+const char BN_version[] = "Big Number" OPENSSL_VERSION_PTEXT;
/* This stuff appears to be completely unused, so is deprecated */
#ifndef OPENSSL_NO_DEPRECATED
-/* For a 32 bit machine
+/*-
+ * For a 32 bit machine
* 2 - 4 == 128
* 3 - 8 == 256
* 4 - 16 == 512
@@ -80,756 +81,774 @@ const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT;
* 7 - 128 == 4096
* 8 - 256 == 8192
*/
-static int bn_limit_bits=0;
-static int bn_limit_num=8; /* (1<<bn_limit_bits) */
-static int bn_limit_bits_low=0;
-static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */
-static int bn_limit_bits_high=0;
-static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */
-static int bn_limit_bits_mont=0;
-static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */
+static int bn_limit_bits = 0;
+static int bn_limit_num = 8; /* (1<<bn_limit_bits) */
+static int bn_limit_bits_low = 0;
+static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
+static int bn_limit_bits_high = 0;
+static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
+static int bn_limit_bits_mont = 0;
+static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
void BN_set_params(int mult, int high, int low, int mont)
- {
- if (mult >= 0)
- {
- if (mult > (int)(sizeof(int)*8)-1)
- mult=sizeof(int)*8-1;
- bn_limit_bits=mult;
- bn_limit_num=1<<mult;
- }
- if (high >= 0)
- {
- if (high > (int)(sizeof(int)*8)-1)
- high=sizeof(int)*8-1;
- bn_limit_bits_high=high;
- bn_limit_num_high=1<<high;
- }
- if (low >= 0)
- {
- if (low > (int)(sizeof(int)*8)-1)
- low=sizeof(int)*8-1;
- bn_limit_bits_low=low;
- bn_limit_num_low=1<<low;
- }
- if (mont >= 0)
- {
- if (mont > (int)(sizeof(int)*8)-1)
- mont=sizeof(int)*8-1;
- bn_limit_bits_mont=mont;
- bn_limit_num_mont=1<<mont;
- }
- }
+{
+ if (mult >= 0) {
+ if (mult > (int)(sizeof(int) * 8) - 1)
+ mult = sizeof(int) * 8 - 1;
+ bn_limit_bits = mult;
+ bn_limit_num = 1 << mult;
+ }
+ if (high >= 0) {
+ if (high > (int)(sizeof(int) * 8) - 1)
+ high = sizeof(int) * 8 - 1;
+ bn_limit_bits_high = high;
+ bn_limit_num_high = 1 << high;
+ }
+ if (low >= 0) {
+ if (low > (int)(sizeof(int) * 8) - 1)
+ low = sizeof(int) * 8 - 1;
+ bn_limit_bits_low = low;
+ bn_limit_num_low = 1 << low;
+ }
+ if (mont >= 0) {
+ if (mont > (int)(sizeof(int) * 8) - 1)
+ mont = sizeof(int) * 8 - 1;
+ bn_limit_bits_mont = mont;
+ bn_limit_num_mont = 1 << mont;
+ }
+}
int BN_get_params(int which)
- {
- if (which == 0) return(bn_limit_bits);
- else if (which == 1) return(bn_limit_bits_high);
- else if (which == 2) return(bn_limit_bits_low);
- else if (which == 3) return(bn_limit_bits_mont);
- else return(0);
- }
+{
+ if (which == 0)
+ return (bn_limit_bits);
+ else if (which == 1)
+ return (bn_limit_bits_high);
+ else if (which == 2)
+ return (bn_limit_bits_low);
+ else if (which == 3)
+ return (bn_limit_bits_mont);
+ else
+ return (0);
+}
#endif
const BIGNUM *BN_value_one(void)
- {
- static BN_ULONG data_one=1L;
- static BIGNUM const_one={&data_one,1,1,0,BN_FLG_STATIC_DATA};
+{
+ static BN_ULONG data_one = 1L;
+ static BIGNUM const_one = { &data_one, 1, 1, 0, BN_FLG_STATIC_DATA };
- return(&const_one);
- }
+ return (&const_one);
+}
int BN_num_bits_word(BN_ULONG l)
- {
- static const char bits[256]={
- 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
- 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
- 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
- 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
- 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
- 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
- 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
- 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
- };
+{
+ static const char bits[256] = {
+ 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
+ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
+ 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+ 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
+ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
+ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
+ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
+ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
+ };
#if defined(SIXTY_FOUR_BIT_LONG)
- if (l & 0xffffffff00000000L)
- {
- if (l & 0xffff000000000000L)
- {
- if (l & 0xff00000000000000L)
- {
- return(bits[(int)(l>>56)]+56);
- }
- else return(bits[(int)(l>>48)]+48);
- }
- else
- {
- if (l & 0x0000ff0000000000L)
- {
- return(bits[(int)(l>>40)]+40);
- }
- else return(bits[(int)(l>>32)]+32);
- }
- }
- else
+ if (l & 0xffffffff00000000L) {
+ if (l & 0xffff000000000000L) {
+ if (l & 0xff00000000000000L) {
+ return (bits[(int)(l >> 56)] + 56);
+ } else
+ return (bits[(int)(l >> 48)] + 48);
+ } else {
+ if (l & 0x0000ff0000000000L) {
+ return (bits[(int)(l >> 40)] + 40);
+ } else
+ return (bits[(int)(l >> 32)] + 32);
+ }
+ } else
#else
-#ifdef SIXTY_FOUR_BIT
- if (l & 0xffffffff00000000LL)
- {
- if (l & 0xffff000000000000LL)
- {
- if (l & 0xff00000000000000LL)
- {
- return(bits[(int)(l>>56)]+56);
- }
- else return(bits[(int)(l>>48)]+48);
- }
- else
- {
- if (l & 0x0000ff0000000000LL)
- {
- return(bits[(int)(l>>40)]+40);
- }
- else return(bits[(int)(l>>32)]+32);
- }
- }
- else
-#endif
+# ifdef SIXTY_FOUR_BIT
+ if (l & 0xffffffff00000000LL) {
+ if (l & 0xffff000000000000LL) {
+ if (l & 0xff00000000000000LL) {
+ return (bits[(int)(l >> 56)] + 56);
+ } else
+ return (bits[(int)(l >> 48)] + 48);
+ } else {
+ if (l & 0x0000ff0000000000LL) {
+ return (bits[(int)(l >> 40)] + 40);
+ } else
+ return (bits[(int)(l >> 32)] + 32);
+ }
+ } else
+# endif
#endif
- {
+ {
#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
- if (l & 0xffff0000L)
- {
- if (l & 0xff000000L)
- return(bits[(int)(l>>24L)]+24);
- else return(bits[(int)(l>>16L)]+16);
- }
- else
+ if (l & 0xffff0000L) {
+ if (l & 0xff000000L)
+ return (bits[(int)(l >> 24L)] + 24);
+ else
+ return (bits[(int)(l >> 16L)] + 16);
+ } else
#endif
- {
+ {
#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
- if (l & 0xff00L)
- return(bits[(int)(l>>8)]+8);
- else
+ if (l & 0xff00L)
+ return (bits[(int)(l >> 8)] + 8);
+ else
#endif
- return(bits[(int)(l )] );
- }
- }
- }
+ return (bits[(int)(l)]);
+ }
+ }
+}
int BN_num_bits(const BIGNUM *a)
- {
- int i = a->top - 1;
- bn_check_top(a);
+{
+ int i = a->top - 1;
+ bn_check_top(a);
- if (BN_is_zero(a)) return 0;
- return ((i*BN_BITS2) + BN_num_bits_word(a->d[i]));
- }
+ if (BN_is_zero(a))
+ return 0;
+ return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));
+}
void BN_clear_free(BIGNUM *a)
- {
- int i;
-
- if (a == NULL) return;
- bn_check_top(a);
- if (a->d != NULL)
- {
- OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0]));
- if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
- OPENSSL_free(a->d);
- }
- i=BN_get_flags(a,BN_FLG_MALLOCED);
- OPENSSL_cleanse(a,sizeof(BIGNUM));
- if (i)
- OPENSSL_free(a);
- }
+{
+ int i;
+
+ if (a == NULL)
+ return;
+ bn_check_top(a);
+ if (a->d != NULL) {
+ OPENSSL_cleanse(a->d, a->dmax * sizeof(a->d[0]));
+ if (!(BN_get_flags(a, BN_FLG_STATIC_DATA)))
+ OPENSSL_free(a->d);
+ }
+ i = BN_get_flags(a, BN_FLG_MALLOCED);
+ OPENSSL_cleanse(a, sizeof(BIGNUM));
+ if (i)
+ OPENSSL_free(a);
+}
void BN_free(BIGNUM *a)
- {
- if (a == NULL) return;
- bn_check_top(a);
- if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
- OPENSSL_free(a->d);
- if (a->flags & BN_FLG_MALLOCED)
- OPENSSL_free(a);
- else
- {
+{
+ if (a == NULL)
+ return;
+ bn_check_top(a);
+ if ((a->d != NULL) && !(BN_get_flags(a, BN_FLG_STATIC_DATA)))
+ OPENSSL_free(a->d);
+ if (a->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(a);
+ else {
#ifndef OPENSSL_NO_DEPRECATED
- a->flags|=BN_FLG_FREE;
+ a->flags |= BN_FLG_FREE;
#endif
- a->d = NULL;
- }
- }
+ a->d = NULL;
+ }
+}
void BN_init(BIGNUM *a)
- {
- memset(a,0,sizeof(BIGNUM));
- bn_check_top(a);
- }
+{
+ memset(a, 0, sizeof(BIGNUM));
+ bn_check_top(a);
+}
BIGNUM *BN_new(void)
- {
- BIGNUM *ret;
-
- if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
- {
- BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE);
- return(NULL);
- }
- ret->flags=BN_FLG_MALLOCED;
- ret->top=0;
- ret->neg=0;
- ret->dmax=0;
- ret->d=NULL;
- bn_check_top(ret);
- return(ret);
- }
+{
+ BIGNUM *ret;
+
+ if ((ret = (BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL) {
+ BNerr(BN_F_BN_NEW, ERR_R_MALLOC_FAILURE);
+ return (NULL);
+ }
+ ret->flags = BN_FLG_MALLOCED;
+ ret->top = 0;
+ ret->neg = 0;
+ ret->dmax = 0;
+ ret->d = NULL;
+ bn_check_top(ret);
+ return (ret);
+}
/* This is used both by bn_expand2() and bn_dup_expand() */
/* The caller MUST check that words > b->dmax before calling this */
static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
- {
- BN_ULONG *A,*a = NULL;
- const BN_ULONG *B;
- int i;
-
- bn_check_top(b);
-
- if (words > (INT_MAX/(4*BN_BITS2)))
- {
- BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG);
- return NULL;
- }
- if (BN_get_flags(b,BN_FLG_STATIC_DATA))
- {
- BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
- return(NULL);
- }
- a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words);
- if (A == NULL)
- {
- BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE);
- return(NULL);
- }
+{
+ BN_ULONG *A, *a = NULL;
+ const BN_ULONG *B;
+ int i;
+
+ bn_check_top(b);
+
+ if (words > (INT_MAX / (4 * BN_BITS2))) {
+ BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);
+ return NULL;
+ }
+ if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {
+ BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
+ return (NULL);
+ }
+ a = A = (BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG) * words);
+ if (A == NULL) {
+ BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);
+ return (NULL);
+ }
#ifdef PURIFY
- /* Valgrind complains in BN_consttime_swap because we process the whole
- * array even if it's not initialised yet. This doesn't matter in that
- * function - what's important is constant time operation (we're not
- * actually going to use the data)
- */
- memset(a, 0, sizeof(BN_ULONG)*words);
+ /*
+ * Valgrind complains in BN_consttime_swap because we process the whole
+ * array even if it's not initialised yet. This doesn't matter in that
+ * function - what's important is constant time operation (we're not
+ * actually going to use the data)
+ */
+ memset(a, 0, sizeof(BN_ULONG) * words);
#endif
#if 1
- B=b->d;
- /* Check if the previous number needs to be copied */
- if (B != NULL)
- {
- for (i=b->top>>2; i>0; i--,A+=4,B+=4)
- {
- /*
- * The fact that the loop is unrolled
- * 4-wise is a tribute to Intel. It's
- * the one that doesn't have enough
- * registers to accomodate more data.
- * I'd unroll it 8-wise otherwise:-)
- *
- * <appro@fy.chalmers.se>
- */
- BN_ULONG a0,a1,a2,a3;
- a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
- A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
- }
- switch (b->top&3)
- {
- case 3: A[2]=B[2];
- case 2: A[1]=B[1];
- case 1: A[0]=B[0];
- case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does
- * the switch table by doing a=top&3; a--; goto jump_table[a];
- * which fails for top== 0 */
- ;
- }
- }
-
+ B = b->d;
+ /* Check if the previous number needs to be copied */
+ if (B != NULL) {
+ for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {
+ /*
+ * The fact that the loop is unrolled
+ * 4-wise is a tribute to Intel. It's
+ * the one that doesn't have enough
+ * registers to accomodate more data.
+ * I'd unroll it 8-wise otherwise:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+ BN_ULONG a0, a1, a2, a3;
+ a0 = B[0];
+ a1 = B[1];
+ a2 = B[2];
+ a3 = B[3];
+ A[0] = a0;
+ A[1] = a1;
+ A[2] = a2;
+ A[3] = a3;
+ }
+ /*
+ * workaround for ultrix cc: without 'case 0', the optimizer does
+ * the switch table by doing a=top&3; a--; goto jump_table[a];
+ * which fails for top== 0
+ */
+ switch (b->top & 3) {
+ case 3:
+ A[2] = B[2];
+ case 2:
+ A[1] = B[1];
+ case 1:
+ A[0] = B[0];
+ case 0:
+ ;
+ }
+ }
#else
- memset(A,0,sizeof(BN_ULONG)*words);
- memcpy(A,b->d,sizeof(b->d[0])*b->top);
+ memset(A, 0, sizeof(BN_ULONG) * words);
+ memcpy(A, b->d, sizeof(b->d[0]) * b->top);
#endif
-
- return(a);
- }
-
-/* This is an internal function that can be used instead of bn_expand2()
- * when there is a need to copy BIGNUMs instead of only expanding the
- * data part, while still expanding them.
- * Especially useful when needing to expand BIGNUMs that are declared
- * 'const' and should therefore not be changed.
- * The reason to use this instead of a BN_dup() followed by a bn_expand2()
- * is memory allocation overhead. A BN_dup() followed by a bn_expand2()
- * will allocate new memory for the BIGNUM data twice, and free it once,
- * while bn_dup_expand() makes sure allocation is made only once.
+
+ return (a);
+}
+
+/*
+ * This is an internal function that can be used instead of bn_expand2() when
+ * there is a need to copy BIGNUMs instead of only expanding the data part,
+ * while still expanding them. Especially useful when needing to expand
+ * BIGNUMs that are declared 'const' and should therefore not be changed. The
+ * reason to use this instead of a BN_dup() followed by a bn_expand2() is
+ * memory allocation overhead. A BN_dup() followed by a bn_expand2() will
+ * allocate new memory for the BIGNUM data twice, and free it once, while
+ * bn_dup_expand() makes sure allocation is made only once.
*/
#ifndef OPENSSL_NO_DEPRECATED
BIGNUM *bn_dup_expand(const BIGNUM *b, int words)
- {
- BIGNUM *r = NULL;
-
- bn_check_top(b);
-
- /* This function does not work if
- * words <= b->dmax && top < words
- * because BN_dup() does not preserve 'dmax'!
- * (But bn_dup_expand() is not used anywhere yet.)
- */
-
- if (words > b->dmax)
- {
- BN_ULONG *a = bn_expand_internal(b, words);
-
- if (a)
- {
- r = BN_new();
- if (r)
- {
- r->top = b->top;
- r->dmax = words;
- r->neg = b->neg;
- r->d = a;
- }
- else
- {
- /* r == NULL, BN_new failure */
- OPENSSL_free(a);
- }
- }
- /* If a == NULL, there was an error in allocation in
- bn_expand_internal(), and NULL should be returned */
- }
- else
- {
- r = BN_dup(b);
- }
-
- bn_check_top(r);
- return r;
- }
+{
+ BIGNUM *r = NULL;
+
+ bn_check_top(b);
+
+ /*
+ * This function does not work if words <= b->dmax && top < words because
+ * BN_dup() does not preserve 'dmax'! (But bn_dup_expand() is not used
+ * anywhere yet.)
+ */
+
+ if (words > b->dmax) {
+ BN_ULONG *a = bn_expand_internal(b, words);
+
+ if (a) {
+ r = BN_new();
+ if (r) {
+ r->top = b->top;
+ r->dmax = words;
+ r->neg = b->neg;
+ r->d = a;
+ } else {
+ /* r == NULL, BN_new failure */
+ OPENSSL_free(a);
+ }
+ }
+ /*
+ * If a == NULL, there was an error in allocation in
+ * bn_expand_internal(), and NULL should be returned
+ */
+ } else {
+ r = BN_dup(b);
+ }
+
+ bn_check_top(r);
+ return r;
+}
#endif
-/* This is an internal function that should not be used in applications.
- * It ensures that 'b' has enough room for a 'words' word number
- * and initialises any unused part of b->d with leading zeros.
- * It is mostly used by the various BIGNUM routines. If there is an error,
- * NULL is returned. If not, 'b' is returned. */
+/*
+ * This is an internal function that should not be used in applications. It
+ * ensures that 'b' has enough room for a 'words' word number and initialises
+ * any unused part of b->d with leading zeros. It is mostly used by the
+ * various BIGNUM routines. If there is an error, NULL is returned. If not,
+ * 'b' is returned.
+ */
BIGNUM *bn_expand2(BIGNUM *b, int words)
- {
- bn_check_top(b);
-
- if (words > b->dmax)
- {
- BN_ULONG *a = bn_expand_internal(b, words);
- if(!a) return NULL;
- if(b->d) OPENSSL_free(b->d);
- b->d=a;
- b->dmax=words;
- }
+{
+ bn_check_top(b);
+
+ if (words > b->dmax) {
+ BN_ULONG *a = bn_expand_internal(b, words);
+ if (!a)
+ return NULL;
+ if (b->d)
+ OPENSSL_free(b->d);
+ b->d = a;
+ b->dmax = words;
+ }
/* None of this should be necessary because of what b->top means! */
#if 0
- /* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */
- if (b->top < b->dmax)
- {
- int i;
- BN_ULONG *A = &(b->d[b->top]);
- for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8)
- {
- A[0]=0; A[1]=0; A[2]=0; A[3]=0;
- A[4]=0; A[5]=0; A[6]=0; A[7]=0;
- }
- for (i=(b->dmax - b->top)&7; i>0; i--,A++)
- A[0]=0;
- assert(A == &(b->d[b->dmax]));
- }
+ /*
+ * NB: bn_wexpand() calls this only if the BIGNUM really has to grow
+ */
+ if (b->top < b->dmax) {
+ int i;
+ BN_ULONG *A = &(b->d[b->top]);
+ for (i = (b->dmax - b->top) >> 3; i > 0; i--, A += 8) {
+ A[0] = 0;
+ A[1] = 0;
+ A[2] = 0;
+ A[3] = 0;
+ A[4] = 0;
+ A[5] = 0;
+ A[6] = 0;
+ A[7] = 0;
+ }
+ for (i = (b->dmax - b->top) & 7; i > 0; i--, A++)
+ A[0] = 0;
+ assert(A == &(b->d[b->dmax]));
+ }
#endif
- bn_check_top(b);
- return b;
- }
+ bn_check_top(b);
+ return b;
+}
BIGNUM *BN_dup(const BIGNUM *a)
- {
- BIGNUM *t;
-
- if (a == NULL) return NULL;
- bn_check_top(a);
-
- t = BN_new();
- if (t == NULL) return NULL;
- if(!BN_copy(t, a))
- {
- BN_free(t);
- return NULL;
- }
- bn_check_top(t);
- return t;
- }
+{
+ BIGNUM *t;
+
+ if (a == NULL)
+ return NULL;
+ bn_check_top(a);
+
+ t = BN_new();
+ if (t == NULL)
+ return NULL;
+ if (!BN_copy(t, a)) {
+ BN_free(t);
+ return NULL;
+ }
+ bn_check_top(t);
+ return t;
+}
BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
- {
- int i;
- BN_ULONG *A;
- const BN_ULONG *B;
+{
+ int i;
+ BN_ULONG *A;
+ const BN_ULONG *B;
- bn_check_top(b);
+ bn_check_top(b);
- if (a == b) return(a);
- if (bn_wexpand(a,b->top) == NULL) return(NULL);
+ if (a == b)
+ return (a);
+ if (bn_wexpand(a, b->top) == NULL)
+ return (NULL);
#if 1
- A=a->d;
- B=b->d;
- for (i=b->top>>2; i>0; i--,A+=4,B+=4)
- {
- BN_ULONG a0,a1,a2,a3;
- a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
- A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
- }
- switch (b->top&3)
- {
- case 3: A[2]=B[2];
- case 2: A[1]=B[1];
- case 1: A[0]=B[0];
- case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */
- }
+ A = a->d;
+ B = b->d;
+ for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {
+ BN_ULONG a0, a1, a2, a3;
+ a0 = B[0];
+ a1 = B[1];
+ a2 = B[2];
+ a3 = B[3];
+ A[0] = a0;
+ A[1] = a1;
+ A[2] = a2;
+ A[3] = a3;
+ }
+ /* ultrix cc workaround, see comments in bn_expand_internal */
+ switch (b->top & 3) {
+ case 3:
+ A[2] = B[2];
+ case 2:
+ A[1] = B[1];
+ case 1:
+ A[0] = B[0];
+ case 0:;
+ }
#else
- memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
+ memcpy(a->d, b->d, sizeof(b->d[0]) * b->top);
#endif
- a->top=b->top;
- a->neg=b->neg;
- bn_check_top(a);
- return(a);
- }
+ a->top = b->top;
+ a->neg = b->neg;
+ bn_check_top(a);
+ return (a);
+}
void BN_swap(BIGNUM *a, BIGNUM *b)
- {
- int flags_old_a, flags_old_b;
- BN_ULONG *tmp_d;
- int tmp_top, tmp_dmax, tmp_neg;
-
- bn_check_top(a);
- bn_check_top(b);
-
- flags_old_a = a->flags;
- flags_old_b = b->flags;
-
- tmp_d = a->d;
- tmp_top = a->top;
- tmp_dmax = a->dmax;
- tmp_neg = a->neg;
-
- a->d = b->d;
- a->top = b->top;
- a->dmax = b->dmax;
- a->neg = b->neg;
-
- b->d = tmp_d;
- b->top = tmp_top;
- b->dmax = tmp_dmax;
- b->neg = tmp_neg;
-
- a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
- b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
- bn_check_top(a);
- bn_check_top(b);
- }
+{
+ int flags_old_a, flags_old_b;
+ BN_ULONG *tmp_d;
+ int tmp_top, tmp_dmax, tmp_neg;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ flags_old_a = a->flags;
+ flags_old_b = b->flags;
+
+ tmp_d = a->d;
+ tmp_top = a->top;
+ tmp_dmax = a->dmax;
+ tmp_neg = a->neg;
+
+ a->d = b->d;
+ a->top = b->top;
+ a->dmax = b->dmax;
+ a->neg = b->neg;
+
+ b->d = tmp_d;
+ b->top = tmp_top;
+ b->dmax = tmp_dmax;
+ b->neg = tmp_neg;
+
+ a->flags =
+ (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
+ b->flags =
+ (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
+ bn_check_top(a);
+ bn_check_top(b);
+}
void BN_clear(BIGNUM *a)
- {
- bn_check_top(a);
- if (a->d != NULL)
- memset(a->d,0,a->dmax*sizeof(a->d[0]));
- a->top=0;
- a->neg=0;
- }
+{
+ bn_check_top(a);
+ if (a->d != NULL)
+ memset(a->d, 0, a->dmax * sizeof(a->d[0]));
+ a->top = 0;
+ a->neg = 0;
+}
BN_ULONG BN_get_word(const BIGNUM *a)
- {
- if (a->top > 1)
- return BN_MASK2;
- else if (a->top == 1)
- return a->d[0];
- /* a->top == 0 */
- return 0;
- }
+{
+ if (a->top > 1)
+ return BN_MASK2;
+ else if (a->top == 1)
+ return a->d[0];
+ /* a->top == 0 */
+ return 0;
+}
int BN_set_word(BIGNUM *a, BN_ULONG w)
- {
- bn_check_top(a);
- if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0);
- a->neg = 0;
- a->d[0] = w;
- a->top = (w ? 1 : 0);
- bn_check_top(a);
- return(1);
- }
+{
+ bn_check_top(a);
+ if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL)
+ return (0);
+ a->neg = 0;
+ a->d[0] = w;
+ a->top = (w ? 1 : 0);
+ bn_check_top(a);
+ return (1);
+}
BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
- {
- unsigned int i,m;
- unsigned int n;
- BN_ULONG l;
- BIGNUM *bn = NULL;
-
- if (ret == NULL)
- ret = bn = BN_new();
- if (ret == NULL) return(NULL);
- bn_check_top(ret);
- l=0;
- n=len;
- if (n == 0)
- {
- ret->top=0;
- return(ret);
- }
- i=((n-1)/BN_BYTES)+1;
- m=((n-1)%(BN_BYTES));
- if (bn_wexpand(ret, (int)i) == NULL)
- {
- if (bn) BN_free(bn);
- return NULL;
- }
- ret->top=i;
- ret->neg=0;
- while (n--)
- {
- l=(l<<8L)| *(s++);
- if (m-- == 0)
- {
- ret->d[--i]=l;
- l=0;
- m=BN_BYTES-1;
- }
- }
- /* need to call this due to clear byte at top if avoiding
- * having the top bit set (-ve number) */
- bn_correct_top(ret);
- return(ret);
- }
+{
+ unsigned int i, m;
+ unsigned int n;
+ BN_ULONG l;
+ BIGNUM *bn = NULL;
+
+ if (ret == NULL)
+ ret = bn = BN_new();
+ if (ret == NULL)
+ return (NULL);
+ bn_check_top(ret);
+ l = 0;
+ n = len;
+ if (n == 0) {
+ ret->top = 0;
+ return (ret);
+ }
+ i = ((n - 1) / BN_BYTES) + 1;
+ m = ((n - 1) % (BN_BYTES));
+ if (bn_wexpand(ret, (int)i) == NULL) {
+ if (bn)
+ BN_free(bn);
+ return NULL;
+ }
+ ret->top = i;
+ ret->neg = 0;
+ while (n--) {
+ l = (l << 8L) | *(s++);
+ if (m-- == 0) {
+ ret->d[--i] = l;
+ l = 0;
+ m = BN_BYTES - 1;
+ }
+ }
+ /*
+ * need to call this due to clear byte at top if avoiding having the top
+ * bit set (-ve number)
+ */
+ bn_correct_top(ret);
+ return (ret);
+}
/* ignore negative */
int BN_bn2bin(const BIGNUM *a, unsigned char *to)
- {
- int n,i;
- BN_ULONG l;
-
- bn_check_top(a);
- n=i=BN_num_bytes(a);
- while (i--)
- {
- l=a->d[i/BN_BYTES];
- *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
- }
- return(n);
- }
+{
+ int n, i;
+ BN_ULONG l;
+
+ bn_check_top(a);
+ n = i = BN_num_bytes(a);
+ while (i--) {
+ l = a->d[i / BN_BYTES];
+ *(to++) = (unsigned char)(l >> (8 * (i % BN_BYTES))) & 0xff;
+ }
+ return (n);
+}
int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
- {
- int i;
- BN_ULONG t1,t2,*ap,*bp;
-
- bn_check_top(a);
- bn_check_top(b);
-
- i=a->top-b->top;
- if (i != 0) return(i);
- ap=a->d;
- bp=b->d;
- for (i=a->top-1; i>=0; i--)
- {
- t1= ap[i];
- t2= bp[i];
- if (t1 != t2)
- return((t1 > t2) ? 1 : -1);
- }
- return(0);
- }
+{
+ int i;
+ BN_ULONG t1, t2, *ap, *bp;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ i = a->top - b->top;
+ if (i != 0)
+ return (i);
+ ap = a->d;
+ bp = b->d;
+ for (i = a->top - 1; i >= 0; i--) {
+ t1 = ap[i];
+ t2 = bp[i];
+ if (t1 != t2)
+ return ((t1 > t2) ? 1 : -1);
+ }
+ return (0);
+}
int BN_cmp(const BIGNUM *a, const BIGNUM *b)
- {
- int i;
- int gt,lt;
- BN_ULONG t1,t2;
-
- if ((a == NULL) || (b == NULL))
- {
- if (a != NULL)
- return(-1);
- else if (b != NULL)
- return(1);
- else
- return(0);
- }
-
- bn_check_top(a);
- bn_check_top(b);
-
- if (a->neg != b->neg)
- {
- if (a->neg)
- return(-1);
- else return(1);
- }
- if (a->neg == 0)
- { gt=1; lt= -1; }
- else { gt= -1; lt=1; }
-
- if (a->top > b->top) return(gt);
- if (a->top < b->top) return(lt);
- for (i=a->top-1; i>=0; i--)
- {
- t1=a->d[i];
- t2=b->d[i];
- if (t1 > t2) return(gt);
- if (t1 < t2) return(lt);
- }
- return(0);
- }
+{
+ int i;
+ int gt, lt;
+ BN_ULONG t1, t2;
+
+ if ((a == NULL) || (b == NULL)) {
+ if (a != NULL)
+ return (-1);
+ else if (b != NULL)
+ return (1);
+ else
+ return (0);
+ }
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->neg != b->neg) {
+ if (a->neg)
+ return (-1);
+ else
+ return (1);
+ }
+ if (a->neg == 0) {
+ gt = 1;
+ lt = -1;
+ } else {
+ gt = -1;
+ lt = 1;
+ }
+
+ if (a->top > b->top)
+ return (gt);
+ if (a->top < b->top)
+ return (lt);
+ for (i = a->top - 1; i >= 0; i--) {
+ t1 = a->d[i];
+ t2 = b->d[i];
+ if (t1 > t2)
+ return (gt);
+ if (t1 < t2)
+ return (lt);
+ }
+ return (0);
+}
int BN_set_bit(BIGNUM *a, int n)
- {
- int i,j,k;
-
- if (n < 0)
- return 0;
-
- i=n/BN_BITS2;
- j=n%BN_BITS2;
- if (a->top <= i)
- {
- if (bn_wexpand(a,i+1) == NULL) return(0);
- for(k=a->top; k<i+1; k++)
- a->d[k]=0;
- a->top=i+1;
- }
-
- a->d[i]|=(((BN_ULONG)1)<<j);
- bn_check_top(a);
- return(1);
- }
+{
+ int i, j, k;
+
+ if (n < 0)
+ return 0;
+
+ i = n / BN_BITS2;
+ j = n % BN_BITS2;
+ if (a->top <= i) {
+ if (bn_wexpand(a, i + 1) == NULL)
+ return (0);
+ for (k = a->top; k < i + 1; k++)
+ a->d[k] = 0;
+ a->top = i + 1;
+ }
+
+ a->d[i] |= (((BN_ULONG)1) << j);
+ bn_check_top(a);
+ return (1);
+}
int BN_clear_bit(BIGNUM *a, int n)
- {
- int i,j;
+{
+ int i, j;
- bn_check_top(a);
- if (n < 0) return 0;
+ bn_check_top(a);
+ if (n < 0)
+ return 0;
- i=n/BN_BITS2;
- j=n%BN_BITS2;
- if (a->top <= i) return(0);
+ i = n / BN_BITS2;
+ j = n % BN_BITS2;
+ if (a->top <= i)
+ return (0);
- a->d[i]&=(~(((BN_ULONG)1)<<j));
- bn_correct_top(a);
- return(1);
- }
+ a->d[i] &= (~(((BN_ULONG)1) << j));
+ bn_correct_top(a);
+ return (1);
+}
int BN_is_bit_set(const BIGNUM *a, int n)
- {
- int i,j;
-
- bn_check_top(a);
- if (n < 0) return 0;
- i=n/BN_BITS2;
- j=n%BN_BITS2;
- if (a->top <= i) return 0;
- return(((a->d[i])>>j)&((BN_ULONG)1));
- }
+{
+ int i, j;
+
+ bn_check_top(a);
+ if (n < 0)
+ return 0;
+ i = n / BN_BITS2;
+ j = n % BN_BITS2;
+ if (a->top <= i)
+ return 0;
+ return (((a->d[i]) >> j) & ((BN_ULONG)1));
+}
int BN_mask_bits(BIGNUM *a, int n)
- {
- int b,w;
-
- bn_check_top(a);
- if (n < 0) return 0;
-
- w=n/BN_BITS2;
- b=n%BN_BITS2;
- if (w >= a->top) return 0;
- if (b == 0)
- a->top=w;
- else
- {
- a->top=w+1;
- a->d[w]&= ~(BN_MASK2<<b);
- }
- bn_correct_top(a);
- return(1);
- }
+{
+ int b, w;
+
+ bn_check_top(a);
+ if (n < 0)
+ return 0;
+
+ w = n / BN_BITS2;
+ b = n % BN_BITS2;
+ if (w >= a->top)
+ return 0;
+ if (b == 0)
+ a->top = w;
+ else {
+ a->top = w + 1;
+ a->d[w] &= ~(BN_MASK2 << b);
+ }
+ bn_correct_top(a);
+ return (1);
+}
void BN_set_negative(BIGNUM *a, int b)
- {
- if (b && !BN_is_zero(a))
- a->neg = 1;
- else
- a->neg = 0;
- }
+{
+ if (b && !BN_is_zero(a))
+ a->neg = 1;
+ else
+ a->neg = 0;
+}
int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- int i;
- BN_ULONG aa,bb;
-
- aa=a[n-1];
- bb=b[n-1];
- if (aa != bb) return((aa > bb)?1:-1);
- for (i=n-2; i>=0; i--)
- {
- aa=a[i];
- bb=b[i];
- if (aa != bb) return((aa > bb)?1:-1);
- }
- return(0);
- }
-
-/* Here follows a specialised variants of bn_cmp_words(). It has the
- property of performing the operation on arrays of different sizes.
- The sizes of those arrays is expressed through cl, which is the
- common length ( basicall, min(len(a),len(b)) ), and dl, which is the
- delta between the two lengths, calculated as len(a)-len(b).
- All lengths are the number of BN_ULONGs... */
-
-int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
- int cl, int dl)
- {
- int n,i;
- n = cl-1;
-
- if (dl < 0)
- {
- for (i=dl; i<0; i++)
- {
- if (b[n-i] != 0)
- return -1; /* a < b */
- }
- }
- if (dl > 0)
- {
- for (i=dl; i>0; i--)
- {
- if (a[n+i] != 0)
- return 1; /* a > b */
- }
- }
- return bn_cmp_words(a,b,cl);
- }
+{
+ int i;
+ BN_ULONG aa, bb;
+
+ aa = a[n - 1];
+ bb = b[n - 1];
+ if (aa != bb)
+ return ((aa > bb) ? 1 : -1);
+ for (i = n - 2; i >= 0; i--) {
+ aa = a[i];
+ bb = b[i];
+ if (aa != bb)
+ return ((aa > bb) ? 1 : -1);
+ }
+ return (0);
+}
+
+/*
+ * Here follows a specialised variants of bn_cmp_words(). It has the
+ * property of performing the operation on arrays of different sizes. The
+ * sizes of those arrays is expressed through cl, which is the common length
+ * ( basicall, min(len(a),len(b)) ), and dl, which is the delta between the
+ * two lengths, calculated as len(a)-len(b). All lengths are the number of
+ * BN_ULONGs...
+ */
+
+int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
+{
+ int n, i;
+ n = cl - 1;
+
+ if (dl < 0) {
+ for (i = dl; i < 0; i++) {
+ if (b[n - i] != 0)
+ return -1; /* a < b */
+ }
+ }
+ if (dl > 0) {
+ for (i = dl; i > 0; i--) {
+ if (a[n + i] != 0)
+ return 1; /* a > b */
+ }
+ }
+ return bn_cmp_words(a, b, cl);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mod.c b/Cryptlib/OpenSSL/crypto/bn/bn_mod.c
index 77d6ddb9..ffbce890 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_mod.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_mod.c
@@ -1,6 +1,8 @@
/* crypto/bn/bn_mod.c */
-/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
- * for the OpenSSL project. */
+/*
+ * Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
+ * for the OpenSSL project.
+ */
/* ====================================================================
* Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
*
@@ -9,7 +11,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -60,21 +62,21 @@
* 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:
@@ -89,10 +91,10 @@
* 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
+ * 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
@@ -104,7 +106,7 @@
* 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
@@ -114,188 +116,201 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-
-#if 0 /* now just a #define */
+#if 0 /* now just a #define */
int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
- {
- return(BN_div(NULL,rem,m,d,ctx));
- /* note that rem->neg == m->neg (unless the remainder is zero) */
- }
+{
+ return (BN_div(NULL, rem, m, d, ctx));
+ /* note that rem->neg == m->neg (unless the remainder is zero) */
+}
#endif
-
int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
- {
- /* like BN_mod, but returns non-negative remainder
- * (i.e., 0 <= r < |d| always holds) */
-
- if (!(BN_mod(r,m,d,ctx)))
- return 0;
- if (!r->neg)
- return 1;
- /* now -|d| < r < 0, so we have to set r := r + |d| */
- return (d->neg ? BN_sub : BN_add)(r, r, d);
+{
+ /*
+ * like BN_mod, but returns non-negative remainder (i.e., 0 <= r < |d|
+ * always holds)
+ */
+
+ if (!(BN_mod(r, m, d, ctx)))
+ return 0;
+ if (!r->neg)
+ return 1;
+ /* now -|d| < r < 0, so we have to set r := r + |d| */
+ return (d->neg ? BN_sub : BN_add) (r, r, d);
}
+int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
+ BN_CTX *ctx)
+{
+ if (!BN_add(r, a, b))
+ return 0;
+ return BN_nnmod(r, r, m, ctx);
+}
-int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
- {
- if (!BN_add(r, a, b)) return 0;
- return BN_nnmod(r, r, m, ctx);
- }
-
-
-/* BN_mod_add variant that may be used if both a and b are non-negative
- * and less than m */
-int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
- {
- if (!BN_uadd(r, a, b)) return 0;
- if (BN_ucmp(r, m) >= 0)
- return BN_usub(r, r, m);
- return 1;
- }
-
-
-int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
- {
- if (!BN_sub(r, a, b)) return 0;
- return BN_nnmod(r, r, m, ctx);
- }
-
+/*
+ * BN_mod_add variant that may be used if both a and b are non-negative and
+ * less than m
+ */
+int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *m)
+{
+ if (!BN_uadd(r, a, b))
+ return 0;
+ if (BN_ucmp(r, m) >= 0)
+ return BN_usub(r, r, m);
+ return 1;
+}
-/* BN_mod_sub variant that may be used if both a and b are non-negative
- * and less than m */
-int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
- {
- if (!BN_sub(r, a, b)) return 0;
- if (r->neg)
- return BN_add(r, r, m);
- return 1;
- }
+int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
+ BN_CTX *ctx)
+{
+ if (!BN_sub(r, a, b))
+ return 0;
+ return BN_nnmod(r, r, m, ctx);
+}
+/*
+ * BN_mod_sub variant that may be used if both a and b are non-negative and
+ * less than m
+ */
+int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *m)
+{
+ if (!BN_sub(r, a, b))
+ return 0;
+ if (r->neg)
+ return BN_add(r, r, m);
+ return 1;
+}
/* slow but works */
int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
- BN_CTX *ctx)
- {
- BIGNUM *t;
- int ret=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_nnmod(r,t,m,ctx)) goto err;
- bn_check_top(r);
- ret=1;
-err:
- BN_CTX_end(ctx);
- return(ret);
- }
-
+ BN_CTX *ctx)
+{
+ BIGNUM *t;
+ int ret = 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_nnmod(r, t, m, ctx))
+ goto err;
+ bn_check_top(r);
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return (ret);
+}
int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
- {
- if (!BN_sqr(r, a, ctx)) return 0;
- /* r->neg == 0, thus we don't need BN_nnmod */
- return BN_mod(r, r, m, ctx);
- }
-
+{
+ if (!BN_sqr(r, a, ctx))
+ return 0;
+ /* r->neg == 0, thus we don't need BN_nnmod */
+ return BN_mod(r, r, m, ctx);
+}
int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
- {
- if (!BN_lshift1(r, a)) return 0;
- bn_check_top(r);
- return BN_nnmod(r, r, m, ctx);
- }
-
+{
+ if (!BN_lshift1(r, a))
+ return 0;
+ bn_check_top(r);
+ return BN_nnmod(r, r, m, ctx);
+}
-/* BN_mod_lshift1 variant that may be used if a is non-negative
- * and less than m */
+/*
+ * BN_mod_lshift1 variant that may be used if a is non-negative and less than
+ * m
+ */
int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m)
- {
- if (!BN_lshift1(r, a)) return 0;
- bn_check_top(r);
- if (BN_cmp(r, m) >= 0)
- return BN_sub(r, r, m);
- return 1;
- }
-
+{
+ if (!BN_lshift1(r, a))
+ return 0;
+ bn_check_top(r);
+ if (BN_cmp(r, m) >= 0)
+ return BN_sub(r, r, m);
+ return 1;
+}
-int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx)
- {
- BIGNUM *abs_m = NULL;
- int ret;
+int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m,
+ BN_CTX *ctx)
+{
+ BIGNUM *abs_m = NULL;
+ int ret;
- if (!BN_nnmod(r, a, m, ctx)) return 0;
+ if (!BN_nnmod(r, a, m, ctx))
+ return 0;
- if (m->neg)
- {
- abs_m = BN_dup(m);
- if (abs_m == NULL) return 0;
- abs_m->neg = 0;
- }
-
- ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m));
- bn_check_top(r);
+ if (m->neg) {
+ abs_m = BN_dup(m);
+ if (abs_m == NULL)
+ return 0;
+ abs_m->neg = 0;
+ }
- if (abs_m)
- BN_free(abs_m);
- return ret;
- }
+ ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m));
+ bn_check_top(r);
+ if (abs_m)
+ BN_free(abs_m);
+ return ret;
+}
-/* BN_mod_lshift variant that may be used if a is non-negative
- * and less than m */
+/*
+ * BN_mod_lshift variant that may be used if a is non-negative and less than
+ * m
+ */
int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m)
- {
- if (r != a)
- {
- if (BN_copy(r, a) == NULL) return 0;
- }
-
- while (n > 0)
- {
- int max_shift;
-
- /* 0 < r < m */
- max_shift = BN_num_bits(m) - BN_num_bits(r);
- /* max_shift >= 0 */
-
- if (max_shift < 0)
- {
- BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED);
- return 0;
- }
-
- if (max_shift > n)
- max_shift = n;
-
- if (max_shift)
- {
- if (!BN_lshift(r, r, max_shift)) return 0;
- n -= max_shift;
- }
- else
- {
- if (!BN_lshift1(r, r)) return 0;
- --n;
- }
-
- /* BN_num_bits(r) <= BN_num_bits(m) */
-
- if (BN_cmp(r, m) >= 0)
- {
- if (!BN_sub(r, r, m)) return 0;
- }
- }
- bn_check_top(r);
-
- return 1;
- }
+{
+ if (r != a) {
+ if (BN_copy(r, a) == NULL)
+ return 0;
+ }
+
+ while (n > 0) {
+ int max_shift;
+
+ /* 0 < r < m */
+ max_shift = BN_num_bits(m) - BN_num_bits(r);
+ /* max_shift >= 0 */
+
+ if (max_shift < 0) {
+ BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED);
+ return 0;
+ }
+
+ if (max_shift > n)
+ max_shift = n;
+
+ if (max_shift) {
+ if (!BN_lshift(r, r, max_shift))
+ return 0;
+ n -= max_shift;
+ } else {
+ if (!BN_lshift1(r, r))
+ return 0;
+ --n;
+ }
+
+ /* BN_num_bits(r) <= BN_num_bits(m) */
+
+ if (BN_cmp(r, m) >= 0) {
+ if (!BN_sub(r, r, m))
+ return 0;
+ }
+ }
+ bn_check_top(r);
+
+ return 1;
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mont.c b/Cryptlib/OpenSSL/crypto/bn/bn_mont.c
index 27cafb1f..bf40e823 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_mont.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_mont.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -120,619 +120,682 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-#define MONT_WORD /* use the faster word-based algorithm */
+#define MONT_WORD /* use the faster word-based algorithm */
#if defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)
-/* This condition means we have a specific non-default build:
- * In the 0.9.8 branch, OPENSSL_BN_ASM_MONT is normally not set for any
- * BN_BITS2<=32 platform; an explicit "enable-montasm" is required.
- * I.e., if we are here, the user intentionally deviates from the
- * normal stable build to get better Montgomery performance from
- * the 0.9.9-dev backport.
- *
- * In this case only, we also enable BN_from_montgomery_word()
- * (another non-stable feature from 0.9.9-dev).
+/*
+ * This condition means we have a specific non-default build: In the 0.9.8
+ * branch, OPENSSL_BN_ASM_MONT is normally not set for any BN_BITS2<=32
+ * platform; an explicit "enable-montasm" is required. I.e., if we are here,
+ * the user intentionally deviates from the normal stable build to get better
+ * Montgomery performance from the 0.9.9-dev backport. In this case only, we
+ * also enable BN_from_montgomery_word() (another non-stable feature from
+ * 0.9.9-dev).
*/
-#define MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD
+# define MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD
#endif
#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD
static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont);
#endif
-
-
int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- BN_MONT_CTX *mont, BN_CTX *ctx)
- {
- BIGNUM *tmp;
- int ret=0;
+ BN_MONT_CTX *mont, BN_CTX *ctx)
+{
+ BIGNUM *tmp;
+ int ret = 0;
#if defined(OPENSSL_BN_ASM_MONT) && defined(MONT_WORD)
- int num = mont->N.top;
+ int num = mont->N.top;
- if (num>1 && a->top==num && b->top==num)
- {
- if (bn_wexpand(r,num) == NULL) return(0);
-#if 0 /* for OpenSSL 0.9.9 mont->n0 */
- if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,mont->n0,num))
-#else
- if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,&mont->n0,num))
-#endif
- {
- r->neg = a->neg^b->neg;
- r->top = num;
- bn_correct_top(r);
- return(1);
- }
- }
+ if (num > 1 && a->top == num && b->top == num) {
+ if (bn_wexpand(r, num) == NULL)
+ return (0);
+# if 0 /* for OpenSSL 0.9.9 mont->n0 */
+ if (bn_mul_mont(r->d, a->d, b->d, mont->N.d, mont->n0, num))
+# else
+ if (bn_mul_mont(r->d, a->d, b->d, mont->N.d, &mont->n0, num))
+# endif
+ {
+ 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;
-
- bn_check_top(tmp);
- 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 */
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL)
+ goto err;
+
+ bn_check_top(tmp);
+ 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 */
#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD
- if (!BN_from_montgomery_word(r,tmp,mont)) goto err;
+ if (!BN_from_montgomery_word(r, tmp, mont))
+ goto err;
#else
- if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err;
+ if (!BN_from_montgomery(r, tmp, mont, ctx))
+ goto err;
#endif
- bn_check_top(r);
- ret=1;
-err:
- BN_CTX_end(ctx);
- return(ret);
- }
+ bn_check_top(r);
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return (ret);
+}
#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD
static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
- {
- BIGNUM *n;
- BN_ULONG *ap,*np,*rp,n0,v,*nrp;
- int al,nl,max,i,x,ri;
-
- n= &(mont->N);
- /* mont->ri is the size of mont->N in bits (rounded up
- to the word size) */
- al=ri=mont->ri/BN_BITS2;
-
- nl=n->top;
- if ((al == 0) || (nl == 0)) { ret->top=0; return(1); }
-
- max=(nl+al+1); /* allow for overflow (no?) XXX */
- if (bn_wexpand(r,max) == NULL) return(0);
-
- r->neg^=n->neg;
- np=n->d;
- rp=r->d;
- nrp= &(r->d[nl]);
-
- /* clear the top words of T */
- for (i=r->top; i<max; i++) /* memset? XXX */
- r->d[i]=0;
-
- r->top=max;
-#if 0 /* for OpenSSL 0.9.9 mont->n0 */
- n0=mont->n0[0];
-#else
- n0=mont->n0;
-#endif
+{
+ BIGNUM *n;
+ BN_ULONG *ap, *np, *rp, n0, v, *nrp;
+ int al, nl, max, i, x, ri;
+
+ n = &(mont->N);
+ /*
+ * mont->ri is the size of mont->N in bits (rounded up to the word size)
+ */
+ al = ri = mont->ri / BN_BITS2;
+
+ nl = n->top;
+ if ((al == 0) || (nl == 0)) {
+ ret->top = 0;
+ return (1);
+ }
+
+ max = (nl + al + 1); /* allow for overflow (no?) XXX */
+ if (bn_wexpand(r, max) == NULL)
+ return (0);
+
+ r->neg ^= n->neg;
+ np = n->d;
+ rp = r->d;
+ nrp = &(r->d[nl]);
+
+ /* clear the top words of T */
+ for (i = r->top; i < max; i++) /* memset? XXX */
+ r->d[i] = 0;
+
+ r->top = max;
+# if 0 /* for OpenSSL 0.9.9 mont->n0 */
+ n0 = mont->n0[0];
+# else
+ n0 = mont->n0;
+# endif
-#ifdef BN_COUNT
- fprintf(stderr,"word BN_from_montgomery_word %d * %d\n",nl,nl);
-#endif
- for (i=0; i<nl; i++)
- {
-#ifdef __TANDEM
- {
- long long t1;
- long long t2;
- long long t3;
- t1 = rp[0] * (n0 & 0177777);
- t2 = 037777600000l;
- t2 = n0 & t2;
- t3 = rp[0] & 0177777;
- t2 = (t3 * t2) & BN_MASK2;
- t1 = t1 + t2;
- v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1);
- }
-#else
- v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
-#endif
- nrp++;
- rp++;
- if (((nrp[-1]+=v)&BN_MASK2) >= v)
- continue;
- else
- {
- if (((++nrp[0])&BN_MASK2) != 0) continue;
- if (((++nrp[1])&BN_MASK2) != 0) continue;
- for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ;
- }
- }
- bn_correct_top(r);
-
- /* mont->ri will be a multiple of the word size and below code
- * is kind of BN_rshift(ret,r,mont->ri) equivalent */
- if (r->top <= ri)
- {
- ret->top=0;
- return(1);
- }
- al=r->top-ri;
-
- if (bn_wexpand(ret,ri) == NULL) return(0);
- x=0-(((al-ri)>>(sizeof(al)*8-1))&1);
- ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */
- ret->neg=r->neg;
-
- rp=ret->d;
- ap=&(r->d[ri]);
-
- {
- size_t m1,m2;
-
- v=bn_sub_words(rp,ap,np,ri);
- /* this ----------------^^ works even in al<ri case
- * thanks to zealous zeroing of top of the vector in the
- * beginning. */
-
- /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
- /* in other words if subtraction result is real, then
- * trick unconditional memcpy below to perform in-place
- * "refresh" instead of actual copy. */
- m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */
- m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */
- m1|=m2; /* (al!=ri) */
- m1|=(0-(size_t)v); /* (al!=ri || v) */
- m1&=~m2; /* (al!=ri || v) && !al>ri */
- nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1));
- }
-
- /* 'i<ri' is chosen to eliminate dependency on input data, even
- * though it results in redundant copy in al<ri case. */
- for (i=0,ri-=4; i<ri; 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 (ri+=4; i<ri; i++)
- rp[i]=nrp[i], ap[i]=0;
- bn_correct_top(r);
- bn_correct_top(ret);
- bn_check_top(ret);
-
- return(1);
- }
+# ifdef BN_COUNT
+ fprintf(stderr, "word BN_from_montgomery_word %d * %d\n", nl, nl);
+# endif
+ for (i = 0; i < nl; i++) {
+# ifdef __TANDEM
+ {
+ long long t1;
+ long long t2;
+ long long t3;
+ t1 = rp[0] * (n0 & 0177777);
+ t2 = 037777600000l;
+ t2 = n0 & t2;
+ t3 = rp[0] & 0177777;
+ t2 = (t3 * t2) & BN_MASK2;
+ t1 = t1 + t2;
+ v = bn_mul_add_words(rp, np, nl, (BN_ULONG)t1);
+ }
+# else
+ v = bn_mul_add_words(rp, np, nl, (rp[0] * n0) & BN_MASK2);
+# endif
+ nrp++;
+ rp++;
+ if (((nrp[-1] += v) & BN_MASK2) >= v)
+ continue;
+ else {
+ if (((++nrp[0]) & BN_MASK2) != 0)
+ continue;
+ if (((++nrp[1]) & BN_MASK2) != 0)
+ continue;
+ for (x = 2; (((++nrp[x]) & BN_MASK2) == 0); x++) ;
+ }
+ }
+ bn_correct_top(r);
+
+ /*
+ * mont->ri will be a multiple of the word size and below code is kind of
+ * BN_rshift(ret,r,mont->ri) equivalent
+ */
+ if (r->top <= ri) {
+ ret->top = 0;
+ return (1);
+ }
+ al = r->top - ri;
+
+ if (bn_wexpand(ret, ri) == NULL)
+ return (0);
+ x = 0 - (((al - ri) >> (sizeof(al) * 8 - 1)) & 1);
+ ret->top = x = (ri & ~x) | (al & x); /* min(ri,al) */
+ ret->neg = r->neg;
+
+ rp = ret->d;
+ ap = &(r->d[ri]);
+
+ {
+ size_t m1, m2;
+
+ v = bn_sub_words(rp, ap, np, ri);
+ /*
+ * this ----------------^^ works even in al<ri case thanks to zealous
+ * zeroing of top of the vector in the beginning.
+ */
+
+ /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
+ /*
+ * in other words if subtraction result is real, then trick
+ * unconditional memcpy below to perform in-place "refresh" instead
+ * of actual copy.
+ */
+ m1 = 0 - (size_t)(((al - ri) >> (sizeof(al) * 8 - 1)) & 1); /* al<ri */
+ m2 = 0 - (size_t)(((ri - al) >> (sizeof(al) * 8 - 1)) & 1); /* al>ri */
+ m1 |= m2; /* (al!=ri) */
+ m1 |= (0 - (size_t)v); /* (al!=ri || v) */
+ m1 &= ~m2; /* (al!=ri || v) && !al>ri */
+ nrp = (BN_ULONG *)(((size_t)rp & ~m1) | ((size_t)ap & m1));
+ }
+
+ /*
+ * 'i<ri' is chosen to eliminate dependency on input data, even though it
+ * results in redundant copy in al<ri case.
+ */
+ for (i = 0, ri -= 4; i < ri; 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 (ri += 4; i < ri; i++)
+ rp[i] = nrp[i], ap[i] = 0;
+ bn_correct_top(r);
+ bn_correct_top(ret);
+ bn_check_top(ret);
+
+ return (1);
+}
int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
- BN_CTX *ctx)
- {
- int retn=0;
- BIGNUM *t;
+ BN_CTX *ctx)
+{
+ int retn = 0;
+ BIGNUM *t;
- BN_CTX_start(ctx);
- if ((t = BN_CTX_get(ctx)) && BN_copy(t,a))
- retn = BN_from_montgomery_word(ret,t,mont);
- BN_CTX_end(ctx);
- return retn;
- }
+ BN_CTX_start(ctx);
+ if ((t = BN_CTX_get(ctx)) && BN_copy(t, a))
+ retn = BN_from_montgomery_word(ret, t, mont);
+ BN_CTX_end(ctx);
+ return retn;
+}
-#else /* !MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */
+#else /* !MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */
int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
- BN_CTX *ctx)
- {
- int retn=0;
-
-#ifdef MONT_WORD
- BIGNUM *n,*r;
- BN_ULONG *ap,*np,*rp,n0,v,*nrp;
- int al,nl,max,i,x,ri;
-
- BN_CTX_start(ctx);
- if ((r = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_copy(r,a)) goto err;
- n= &(mont->N);
-
- ap=a->d;
- /* mont->ri is the size of mont->N in bits (rounded up
- to the word size) */
- al=ri=mont->ri/BN_BITS2;
-
- nl=n->top;
- if ((al == 0) || (nl == 0)) { r->top=0; return(1); }
-
- max=(nl+al+1); /* allow for overflow (no?) XXX */
- if (bn_wexpand(r,max) == NULL) goto err;
-
- r->neg=a->neg^n->neg;
- np=n->d;
- rp=r->d;
- nrp= &(r->d[nl]);
-
- /* clear the top words of T */
-#if 1
- for (i=r->top; i<max; i++) /* memset? XXX */
- r->d[i]=0;
-#else
- memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG));
-#endif
-
- r->top=max;
- n0=mont->n0;
-
-#ifdef BN_COUNT
- fprintf(stderr,"word BN_from_montgomery %d * %d\n",nl,nl);
-#endif
- for (i=0; i<nl; i++)
- {
-#ifdef __TANDEM
- {
- long long t1;
- long long t2;
- long long t3;
- t1 = rp[0] * (n0 & 0177777);
- t2 = 037777600000l;
- t2 = n0 & t2;
- t3 = rp[0] & 0177777;
- t2 = (t3 * t2) & BN_MASK2;
- t1 = t1 + t2;
- v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1);
- }
-#else
- v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
-#endif
- nrp++;
- rp++;
- if (((nrp[-1]+=v)&BN_MASK2) >= v)
- continue;
- else
- {
- if (((++nrp[0])&BN_MASK2) != 0) continue;
- if (((++nrp[1])&BN_MASK2) != 0) continue;
- for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ;
- }
- }
- bn_correct_top(r);
-
- /* mont->ri will be a multiple of the word size and below code
- * is kind of BN_rshift(ret,r,mont->ri) equivalent */
- if (r->top <= ri)
- {
- ret->top=0;
- retn=1;
- goto err;
- }
- al=r->top-ri;
-
-# define BRANCH_FREE 1
-# if BRANCH_FREE
- if (bn_wexpand(ret,ri) == NULL) goto err;
- x=0-(((al-ri)>>(sizeof(al)*8-1))&1);
- ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */
- ret->neg=r->neg;
-
- rp=ret->d;
- ap=&(r->d[ri]);
-
- {
- size_t m1,m2;
-
- v=bn_sub_words(rp,ap,np,ri);
- /* this ----------------^^ works even in al<ri case
- * thanks to zealous zeroing of top of the vector in the
- * beginning. */
-
- /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
- /* in other words if subtraction result is real, then
- * trick unconditional memcpy below to perform in-place
- * "refresh" instead of actual copy. */
- m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */
- m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */
- m1|=m2; /* (al!=ri) */
- m1|=(0-(size_t)v); /* (al!=ri || v) */
- m1&=~m2; /* (al!=ri || v) && !al>ri */
- nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1));
- }
-
- /* 'i<ri' is chosen to eliminate dependency on input data, even
- * though it results in redundant copy in al<ri case. */
- for (i=0,ri-=4; i<ri; 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 (ri+=4; i<ri; i++)
- rp[i]=nrp[i], ap[i]=0;
- bn_correct_top(r);
- bn_correct_top(ret);
-# else
- if (bn_wexpand(ret,al) == NULL) goto err;
- ret->top=al;
- ret->neg=r->neg;
-
- rp=ret->d;
- ap=&(r->d[ri]);
- al-=4;
- for (i=0; i<al; i+=4)
- {
- BN_ULONG t1,t2,t3,t4;
-
- t1=ap[i+0];
- t2=ap[i+1];
- t3=ap[i+2];
- t4=ap[i+3];
- rp[i+0]=t1;
- rp[i+1]=t2;
- rp[i+2]=t3;
- rp[i+3]=t4;
- }
- al+=4;
- for (; i<al; i++)
- rp[i]=ap[i];
+ BN_CTX *ctx)
+{
+ int retn = 0;
+
+# ifdef MONT_WORD
+ BIGNUM *n, *r;
+ BN_ULONG *ap, *np, *rp, n0, v, *nrp;
+ int al, nl, max, i, x, ri;
+
+ BN_CTX_start(ctx);
+ if ((r = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ if (!BN_copy(r, a))
+ goto err;
+ n = &(mont->N);
+
+ ap = a->d;
+ /*
+ * mont->ri is the size of mont->N in bits (rounded up to the word size)
+ */
+ al = ri = mont->ri / BN_BITS2;
+
+ nl = n->top;
+ if ((al == 0) || (nl == 0)) {
+ r->top = 0;
+ return (1);
+ }
+
+ max = (nl + al + 1); /* allow for overflow (no?) XXX */
+ if (bn_wexpand(r, max) == NULL)
+ goto err;
+
+ r->neg = a->neg ^ n->neg;
+ np = n->d;
+ rp = r->d;
+ nrp = &(r->d[nl]);
+
+ /* clear the top words of T */
+# if 1
+ for (i = r->top; i < max; i++) /* memset? XXX */
+ r->d[i] = 0;
+# else
+ memset(&(r->d[r->top]), 0, (max - r->top) * sizeof(BN_ULONG));
+# endif
+
+ r->top = max;
+ n0 = mont->n0;
+
+# ifdef BN_COUNT
+ fprintf(stderr, "word BN_from_montgomery %d * %d\n", nl, nl);
+# endif
+ for (i = 0; i < nl; i++) {
+# ifdef __TANDEM
+ {
+ long long t1;
+ long long t2;
+ long long t3;
+ t1 = rp[0] * (n0 & 0177777);
+ t2 = 037777600000l;
+ t2 = n0 & t2;
+ t3 = rp[0] & 0177777;
+ t2 = (t3 * t2) & BN_MASK2;
+ t1 = t1 + t2;
+ v = bn_mul_add_words(rp, np, nl, (BN_ULONG)t1);
+ }
+# else
+ v = bn_mul_add_words(rp, np, nl, (rp[0] * n0) & BN_MASK2);
+# endif
+ nrp++;
+ rp++;
+ if (((nrp[-1] += v) & BN_MASK2) >= v)
+ continue;
+ else {
+ if (((++nrp[0]) & BN_MASK2) != 0)
+ continue;
+ if (((++nrp[1]) & BN_MASK2) != 0)
+ continue;
+ for (x = 2; (((++nrp[x]) & BN_MASK2) == 0); x++) ;
+ }
+ }
+ bn_correct_top(r);
+
+ /*
+ * mont->ri will be a multiple of the word size and below code is kind of
+ * BN_rshift(ret,r,mont->ri) equivalent
+ */
+ if (r->top <= ri) {
+ ret->top = 0;
+ retn = 1;
+ goto err;
+ }
+ al = r->top - ri;
+
+# define BRANCH_FREE 1
+# if BRANCH_FREE
+ if (bn_wexpand(ret, ri) == NULL)
+ goto err;
+ x = 0 - (((al - ri) >> (sizeof(al) * 8 - 1)) & 1);
+ ret->top = x = (ri & ~x) | (al & x); /* min(ri,al) */
+ ret->neg = r->neg;
+
+ rp = ret->d;
+ ap = &(r->d[ri]);
+
+ {
+ size_t m1, m2;
+
+ v = bn_sub_words(rp, ap, np, ri);
+ /*
+ * this ----------------^^ works even in al<ri case thanks to zealous
+ * zeroing of top of the vector in the beginning.
+ */
+
+ /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
+ /*
+ * in other words if subtraction result is real, then trick
+ * unconditional memcpy below to perform in-place "refresh" instead
+ * of actual copy.
+ */
+ m1 = 0 - (size_t)(((al - ri) >> (sizeof(al) * 8 - 1)) & 1); /* al<ri */
+ m2 = 0 - (size_t)(((ri - al) >> (sizeof(al) * 8 - 1)) & 1); /* al>ri */
+ m1 |= m2; /* (al!=ri) */
+ m1 |= (0 - (size_t)v); /* (al!=ri || v) */
+ m1 &= ~m2; /* (al!=ri || v) && !al>ri */
+ nrp = (BN_ULONG *)(((size_t)rp & ~m1) | ((size_t)ap & m1));
+ }
+
+ /*
+ * 'i<ri' is chosen to eliminate dependency on input data, even though it
+ * results in redundant copy in al<ri case.
+ */
+ for (i = 0, ri -= 4; i < ri; 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 (ri += 4; i < ri; i++)
+ rp[i] = nrp[i], ap[i] = 0;
+ bn_correct_top(r);
+ bn_correct_top(ret);
+# else
+ if (bn_wexpand(ret, al) == NULL)
+ goto err;
+ ret->top = al;
+ ret->neg = r->neg;
+
+ rp = ret->d;
+ ap = &(r->d[ri]);
+ al -= 4;
+ for (i = 0; i < al; i += 4) {
+ BN_ULONG t1, t2, t3, t4;
+
+ t1 = ap[i + 0];
+ t2 = ap[i + 1];
+ t3 = ap[i + 2];
+ t4 = ap[i + 3];
+ rp[i + 0] = t1;
+ rp[i + 1] = t2;
+ rp[i + 2] = t3;
+ rp[i + 3] = t4;
+ }
+ al += 4;
+ for (; i < al; i++)
+ rp[i] = ap[i];
+# endif
+# else /* !MONT_WORD */
+ BIGNUM *t1, *t2;
+
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ t2 = BN_CTX_get(ctx);
+ if (t1 == NULL || t2 == NULL)
+ goto err;
+
+ if (!BN_copy(t1, a))
+ goto err;
+ BN_mask_bits(t1, mont->ri);
+
+ if (!BN_mul(t2, t1, &mont->Ni, ctx))
+ goto err;
+ BN_mask_bits(t2, mont->ri);
+
+ if (!BN_mul(t1, t2, &mont->N, ctx))
+ goto err;
+ if (!BN_add(t2, a, t1))
+ goto err;
+ if (!BN_rshift(ret, t2, mont->ri))
+ goto err;
+# endif /* MONT_WORD */
+
+# if !defined(BRANCH_FREE) || BRANCH_FREE==0
+ if (BN_ucmp(ret, &(mont->N)) >= 0) {
+ if (!BN_usub(ret, ret, &(mont->N)))
+ goto err;
+ }
# endif
-#else /* !MONT_WORD */
- BIGNUM *t1,*t2;
-
- BN_CTX_start(ctx);
- t1 = BN_CTX_get(ctx);
- t2 = BN_CTX_get(ctx);
- if (t1 == NULL || t2 == NULL) goto err;
-
- if (!BN_copy(t1,a)) goto err;
- BN_mask_bits(t1,mont->ri);
-
- if (!BN_mul(t2,t1,&mont->Ni,ctx)) goto err;
- BN_mask_bits(t2,mont->ri);
-
- if (!BN_mul(t1,t2,&mont->N,ctx)) goto err;
- if (!BN_add(t2,a,t1)) goto err;
- if (!BN_rshift(ret,t2,mont->ri)) goto err;
-#endif /* MONT_WORD */
-
-#if !defined(BRANCH_FREE) || BRANCH_FREE==0
- if (BN_ucmp(ret, &(mont->N)) >= 0)
- {
- if (!BN_usub(ret,ret,&(mont->N))) goto err;
- }
-#endif
- retn=1;
- bn_check_top(ret);
+ retn = 1;
+ bn_check_top(ret);
err:
- BN_CTX_end(ctx);
- return(retn);
- }
-#endif /* MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */
+ BN_CTX_end(ctx);
+ return (retn);
+}
+#endif /* MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */
BN_MONT_CTX *BN_MONT_CTX_new(void)
- {
- BN_MONT_CTX *ret;
+{
+ BN_MONT_CTX *ret;
- if ((ret=(BN_MONT_CTX *)OPENSSL_malloc(sizeof(BN_MONT_CTX))) == NULL)
- return(NULL);
+ if ((ret = (BN_MONT_CTX *)OPENSSL_malloc(sizeof(BN_MONT_CTX))) == NULL)
+ return (NULL);
- BN_MONT_CTX_init(ret);
- ret->flags=BN_FLG_MALLOCED;
- return(ret);
- }
+ BN_MONT_CTX_init(ret);
+ ret->flags = BN_FLG_MALLOCED;
+ return (ret);
+}
void BN_MONT_CTX_init(BN_MONT_CTX *ctx)
- {
- ctx->ri=0;
- BN_init(&(ctx->RR));
- BN_init(&(ctx->N));
- BN_init(&(ctx->Ni));
-#if 0 /* for OpenSSL 0.9.9 mont->n0 */
- ctx->n0[0] = ctx->n0[1] = 0;
+{
+ ctx->ri = 0;
+ BN_init(&(ctx->RR));
+ BN_init(&(ctx->N));
+ BN_init(&(ctx->Ni));
+#if 0 /* for OpenSSL 0.9.9 mont->n0 */
+ ctx->n0[0] = ctx->n0[1] = 0;
#else
- ctx->n0 = 0;
+ ctx->n0 = 0;
#endif
- ctx->flags=0;
- }
+ ctx->flags = 0;
+}
void BN_MONT_CTX_free(BN_MONT_CTX *mont)
- {
- if(mont == NULL)
- return;
+{
+ 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_free(&(mont->RR));
+ BN_free(&(mont->N));
+ BN_free(&(mont->Ni));
+ if (mont->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(mont);
+}
int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)
- {
- int ret = 0;
- BIGNUM *Ri,*R;
-
- BN_CTX_start(ctx);
- if((Ri = BN_CTX_get(ctx)) == 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;
+{
+ int ret = 0;
+ BIGNUM *Ri, *R;
+
+ BN_CTX_start(ctx);
+ if ((Ri = BN_CTX_get(ctx)) == 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;
#ifdef MONT_WORD
- {
- BIGNUM tmod;
- BN_ULONG buf[2];
-
- mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2;
- BN_zero(R);
-#if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)",
- only certain BN_BITS2<=32 platforms actually need this */
- if (!(BN_set_bit(R,2*BN_BITS2))) goto err; /* R */
-#else
- if (!(BN_set_bit(R,BN_BITS2))) goto err; /* R */
-#endif
+ {
+ BIGNUM tmod;
+ BN_ULONG buf[2];
+
+ mont->ri = (BN_num_bits(mod) + (BN_BITS2 - 1)) / BN_BITS2 * BN_BITS2;
+ BN_zero(R);
+# if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if
+ * defined(OPENSSL_BN_ASM_MONT) &&
+ * (BN_BITS2<=32)", only certain BN_BITS2<=32
+ * platforms actually need this */
+ if (!(BN_set_bit(R, 2 * BN_BITS2)))
+ goto err; /* R */
+# else
+ if (!(BN_set_bit(R, BN_BITS2)))
+ goto err; /* R */
+# endif
- buf[0]=mod->d[0]; /* tmod = N mod word size */
- buf[1]=0;
-
- BN_init(&tmod);
- tmod.d=buf;
- tmod.top = buf[0] != 0 ? 1 : 0;
- tmod.dmax=2;
- tmod.neg=0;
-
-#if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)";
- only certain BN_BITS2<=32 platforms actually need this */
- 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
- /* 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: */
-# if 0 /* for OpenSSL 0.9.9 mont->n0 */
- mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
- mont->n0[1] = 0;
+ buf[0] = mod->d[0]; /* tmod = N mod word size */
+ buf[1] = 0;
+
+ BN_init(&tmod);
+ tmod.d = buf;
+ tmod.top = buf[0] != 0 ? 1 : 0;
+ tmod.dmax = 2;
+ tmod.neg = 0;
+
+# if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if
+ * defined(OPENSSL_BN_ASM_MONT) &&
+ * (BN_BITS2<=32)"; only certain BN_BITS2<=32
+ * platforms actually need this */
+ 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
- mont->n0 = (Ri->top > 0) ? Ri->d[0] : 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:
+ */
+# if 0 /* for OpenSSL 0.9.9 mont->n0 */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = 0;
+# else
+ mont->n0 = (Ri->top > 0) ? Ri->d[0] : 0;
+# endif
# endif
-#endif
- }
-#else /* !MONT_WORD */
- { /* bignum version */
- mont->ri=BN_num_bits(&mont->N);
- BN_zero(R);
- if (!BN_set_bit(R,mont->ri)) goto err; /* R = 2^ri */
- /* Ri = R^-1 mod N*/
- if ((BN_mod_inverse(Ri,R,&mont->N,ctx)) == NULL)
- goto err;
- if (!BN_lshift(Ri,Ri,mont->ri)) goto err; /* R*Ri */
- if (!BN_sub_word(Ri,1)) goto err;
- /* Ni = (R*Ri-1) / N */
- if (!BN_div(&(mont->Ni),NULL,Ri,&mont->N,ctx)) goto err;
- }
+ }
+#else /* !MONT_WORD */
+ { /* bignum version */
+ mont->ri = BN_num_bits(&mont->N);
+ BN_zero(R);
+ if (!BN_set_bit(R, mont->ri))
+ goto err; /* R = 2^ri */
+ /* Ri = R^-1 mod N */
+ if ((BN_mod_inverse(Ri, R, &mont->N, ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri, Ri, mont->ri))
+ goto err; /* R*Ri */
+ if (!BN_sub_word(Ri, 1))
+ goto err;
+ /*
+ * Ni = (R*Ri-1) / N
+ */
+ if (!BN_div(&(mont->Ni), NULL, Ri, &mont->N, ctx))
+ goto err;
+ }
#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;
+ /* 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;
- }
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
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))) return NULL;
- if (!BN_copy(&(to->N),&(from->N))) return NULL;
- if (!BN_copy(&(to->Ni),&(from->Ni))) return NULL;
- to->ri=from->ri;
-#if 0 /* for OpenSSL 0.9.9 mont->n0 */
- to->n0[0]=from->n0[0];
- to->n0[1]=from->n0[1];
+{
+ if (to == from)
+ return (to);
+
+ if (!BN_copy(&(to->RR), &(from->RR)))
+ return NULL;
+ if (!BN_copy(&(to->N), &(from->N)))
+ return NULL;
+ if (!BN_copy(&(to->Ni), &(from->Ni)))
+ return NULL;
+ to->ri = from->ri;
+#if 0 /* for OpenSSL 0.9.9 mont->n0 */
+ to->n0[0] = from->n0[0];
+ to->n0[1] = from->n0[1];
#else
- to->n0=from->n0;
+ to->n0 = from->n0;
#endif
- return(to);
- }
+ return (to);
+}
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;
- }
+ 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;
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c b/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c
index a054d21a..3bd40bbd 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,70 +61,68 @@
#include "bn_lcl.h"
int BN_bn2mpi(const BIGNUM *a, unsigned char *d)
- {
- int bits;
- int num=0;
- int ext=0;
- long l;
+{
+ int bits;
+ int num = 0;
+ int ext = 0;
+ long l;
- bits=BN_num_bits(a);
- num=(bits+7)/8;
- if (bits > 0)
- {
- ext=((bits & 0x07) == 0);
- }
- if (d == NULL)
- return(num+4+ext);
+ bits = BN_num_bits(a);
+ num = (bits + 7) / 8;
+ if (bits > 0) {
+ ext = ((bits & 0x07) == 0);
+ }
+ if (d == NULL)
+ return (num + 4 + ext);
- l=num+ext;
- d[0]=(unsigned char)(l>>24)&0xff;
- d[1]=(unsigned char)(l>>16)&0xff;
- d[2]=(unsigned char)(l>> 8)&0xff;
- d[3]=(unsigned char)(l )&0xff;
- if (ext) d[4]=0;
- num=BN_bn2bin(a,&(d[4+ext]));
- if (a->neg)
- d[4]|=0x80;
- return(num+4+ext);
- }
+ l = num + ext;
+ d[0] = (unsigned char)(l >> 24) & 0xff;
+ d[1] = (unsigned char)(l >> 16) & 0xff;
+ d[2] = (unsigned char)(l >> 8) & 0xff;
+ d[3] = (unsigned char)(l) & 0xff;
+ if (ext)
+ d[4] = 0;
+ num = BN_bn2bin(a, &(d[4 + ext]));
+ if (a->neg)
+ d[4] |= 0x80;
+ return (num + 4 + ext);
+}
BIGNUM *BN_mpi2bn(const unsigned char *d, int n, BIGNUM *a)
- {
- long len;
- int neg=0;
-
- if (n < 4)
- {
- BNerr(BN_F_BN_MPI2BN,BN_R_INVALID_LENGTH);
- return(NULL);
- }
- len=((long)d[0]<<24)|((long)d[1]<<16)|((int)d[2]<<8)|(int)d[3];
- if ((len+4) != n)
- {
- BNerr(BN_F_BN_MPI2BN,BN_R_ENCODING_ERROR);
- return(NULL);
- }
+{
+ long len;
+ int neg = 0;
- if (a == NULL) a=BN_new();
- if (a == NULL) return(NULL);
+ if (n < 4) {
+ BNerr(BN_F_BN_MPI2BN, BN_R_INVALID_LENGTH);
+ return (NULL);
+ }
+ len = ((long)d[0] << 24) | ((long)d[1] << 16) | ((int)d[2] << 8) | (int)
+ d[3];
+ if ((len + 4) != n) {
+ BNerr(BN_F_BN_MPI2BN, BN_R_ENCODING_ERROR);
+ return (NULL);
+ }
- if (len == 0)
- {
- a->neg=0;
- a->top=0;
- return(a);
- }
- d+=4;
- if ((*d) & 0x80)
- neg=1;
- if (BN_bin2bn(d,(int)len,a) == NULL)
- return(NULL);
- a->neg=neg;
- if (neg)
- {
- BN_clear_bit(a,BN_num_bits(a)-1);
- }
- bn_check_top(a);
- return(a);
- }
+ if (a == NULL)
+ a = BN_new();
+ if (a == NULL)
+ return (NULL);
+ if (len == 0) {
+ a->neg = 0;
+ a->top = 0;
+ return (a);
+ }
+ d += 4;
+ if ((*d) & 0x80)
+ neg = 1;
+ if (BN_bin2bn(d, (int)len, a) == NULL)
+ return (NULL);
+ a->neg = neg;
+ if (neg) {
+ BN_clear_bit(a, BN_num_bits(a) - 1);
+ }
+ bn_check_top(a);
+ return (a);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mul.c b/Cryptlib/OpenSSL/crypto/bn/bn_mul.c
index 12e5be80..b174850b 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_mul.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_mul.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -57,7 +57,7 @@
*/
#ifndef BN_DEBUG
-# undef NDEBUG /* avoid conflicting definitions */
+# undef NDEBUG /* avoid conflicting definitions */
# define NDEBUG
#endif
@@ -67,319 +67,353 @@
#include "bn_lcl.h"
#if defined(OPENSSL_NO_ASM) || !defined(OPENSSL_BN_ASM_PART_WORDS)
-/* Here follows specialised variants of bn_add_words() and
- bn_sub_words(). They have the property performing operations on
- arrays of different sizes. The sizes of those arrays is expressed through
- cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl,
- which is the delta between the two lengths, calculated as len(a)-len(b).
- All lengths are the number of BN_ULONGs... For the operations that require
- a result array as parameter, it must have the length cl+abs(dl).
- These functions should probably end up in bn_asm.c as soon as there are
- assembler counterparts for the systems that use assembler files. */
+/*
+ * Here follows specialised variants of bn_add_words() and bn_sub_words().
+ * They have the property performing operations on arrays of different sizes.
+ * The sizes of those arrays is expressed through cl, which is the common
+ * length ( basicall, min(len(a),len(b)) ), and dl, which is the delta
+ * between the two lengths, calculated as len(a)-len(b). All lengths are the
+ * number of BN_ULONGs... For the operations that require a result array as
+ * parameter, it must have the length cl+abs(dl). These functions should
+ * probably end up in bn_asm.c as soon as there are assembler counterparts
+ * for the systems that use assembler files.
+ */
BN_ULONG bn_sub_part_words(BN_ULONG *r,
- const BN_ULONG *a, const BN_ULONG *b,
- int cl, int dl)
- {
- BN_ULONG c, t;
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+{
+ BN_ULONG c, t;
- assert(cl >= 0);
- c = bn_sub_words(r, a, b, cl);
+ assert(cl >= 0);
+ c = bn_sub_words(r, a, b, cl);
- if (dl == 0)
- return c;
+ if (dl == 0)
+ return c;
- r += cl;
- a += cl;
- b += cl;
+ r += cl;
+ a += cl;
+ b += cl;
- if (dl < 0)
- {
-#ifdef BN_COUNT
- fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
-#endif
- for (;;)
- {
- t = b[0];
- r[0] = (0-t-c)&BN_MASK2;
- if (t != 0) c=1;
- if (++dl >= 0) break;
-
- t = b[1];
- r[1] = (0-t-c)&BN_MASK2;
- if (t != 0) c=1;
- if (++dl >= 0) break;
-
- t = b[2];
- r[2] = (0-t-c)&BN_MASK2;
- if (t != 0) c=1;
- if (++dl >= 0) break;
-
- t = b[3];
- r[3] = (0-t-c)&BN_MASK2;
- if (t != 0) c=1;
- if (++dl >= 0) break;
-
- b += 4;
- r += 4;
- }
- }
- else
- {
- int save_dl = dl;
-#ifdef BN_COUNT
- fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl, dl, c);
-#endif
- while(c)
- {
- t = a[0];
- r[0] = (t-c)&BN_MASK2;
- if (t != 0) c=0;
- if (--dl <= 0) break;
-
- t = a[1];
- r[1] = (t-c)&BN_MASK2;
- if (t != 0) c=0;
- if (--dl <= 0) break;
-
- t = a[2];
- r[2] = (t-c)&BN_MASK2;
- if (t != 0) c=0;
- if (--dl <= 0) break;
-
- t = a[3];
- r[3] = (t-c)&BN_MASK2;
- if (t != 0) c=0;
- if (--dl <= 0) break;
-
- save_dl = dl;
- a += 4;
- r += 4;
- }
- if (dl > 0)
- {
-#ifdef BN_COUNT
- fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
-#endif
- if (save_dl > dl)
- {
- switch (save_dl - dl)
- {
- case 1:
- r[1] = a[1];
- if (--dl <= 0) break;
- case 2:
- r[2] = a[2];
- if (--dl <= 0) break;
- case 3:
- r[3] = a[3];
- if (--dl <= 0) break;
- }
- a += 4;
- r += 4;
- }
- }
- if (dl > 0)
- {
-#ifdef BN_COUNT
- fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n", cl, dl);
-#endif
- for(;;)
- {
- r[0] = a[0];
- if (--dl <= 0) break;
- r[1] = a[1];
- if (--dl <= 0) break;
- r[2] = a[2];
- if (--dl <= 0) break;
- r[3] = a[3];
- if (--dl <= 0) break;
-
- a += 4;
- r += 4;
- }
- }
- }
- return c;
- }
+ if (dl < 0) {
+# ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl,
+ dl, c);
+# endif
+ for (;;) {
+ t = b[0];
+ r[0] = (0 - t - c) & BN_MASK2;
+ if (t != 0)
+ c = 1;
+ if (++dl >= 0)
+ break;
+
+ t = b[1];
+ r[1] = (0 - t - c) & BN_MASK2;
+ if (t != 0)
+ c = 1;
+ if (++dl >= 0)
+ break;
+
+ t = b[2];
+ r[2] = (0 - t - c) & BN_MASK2;
+ if (t != 0)
+ c = 1;
+ if (++dl >= 0)
+ break;
+
+ t = b[3];
+ r[3] = (0 - t - c) & BN_MASK2;
+ if (t != 0)
+ c = 1;
+ if (++dl >= 0)
+ break;
+
+ b += 4;
+ r += 4;
+ }
+ } else {
+ int save_dl = dl;
+# ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl,
+ dl, c);
+# endif
+ while (c) {
+ t = a[0];
+ r[0] = (t - c) & BN_MASK2;
+ if (t != 0)
+ c = 0;
+ if (--dl <= 0)
+ break;
+
+ t = a[1];
+ r[1] = (t - c) & BN_MASK2;
+ if (t != 0)
+ c = 0;
+ if (--dl <= 0)
+ break;
+
+ t = a[2];
+ r[2] = (t - c) & BN_MASK2;
+ if (t != 0)
+ c = 0;
+ if (--dl <= 0)
+ break;
+
+ t = a[3];
+ r[3] = (t - c) & BN_MASK2;
+ if (t != 0)
+ c = 0;
+ if (--dl <= 0)
+ break;
+
+ save_dl = dl;
+ a += 4;
+ r += 4;
+ }
+ if (dl > 0) {
+# ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n",
+ cl, dl);
+# endif
+ if (save_dl > dl) {
+ switch (save_dl - dl) {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0)
+ break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0)
+ break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0)
+ break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0) {
+# ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n",
+ cl, dl);
+# endif
+ for (;;) {
+ r[0] = a[0];
+ if (--dl <= 0)
+ break;
+ r[1] = a[1];
+ if (--dl <= 0)
+ break;
+ r[2] = a[2];
+ if (--dl <= 0)
+ break;
+ r[3] = a[3];
+ if (--dl <= 0)
+ break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+}
#endif
BN_ULONG bn_add_part_words(BN_ULONG *r,
- const BN_ULONG *a, const BN_ULONG *b,
- int cl, int dl)
- {
- BN_ULONG c, l, t;
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+{
+ BN_ULONG c, l, t;
- assert(cl >= 0);
- c = bn_add_words(r, a, b, cl);
+ assert(cl >= 0);
+ c = bn_add_words(r, a, b, cl);
- if (dl == 0)
- return c;
+ if (dl == 0)
+ return c;
- r += cl;
- a += cl;
- b += cl;
+ r += cl;
+ a += cl;
+ b += cl;
- if (dl < 0)
- {
- int save_dl = dl;
+ if (dl < 0) {
+ int save_dl = dl;
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl,
+ dl, c);
#endif
- while (c)
- {
- l=(c+b[0])&BN_MASK2;
- c=(l < c);
- r[0]=l;
- if (++dl >= 0) break;
-
- l=(c+b[1])&BN_MASK2;
- c=(l < c);
- r[1]=l;
- if (++dl >= 0) break;
-
- l=(c+b[2])&BN_MASK2;
- c=(l < c);
- r[2]=l;
- if (++dl >= 0) break;
-
- l=(c+b[3])&BN_MASK2;
- c=(l < c);
- r[3]=l;
- if (++dl >= 0) break;
-
- save_dl = dl;
- b+=4;
- r+=4;
- }
- if (dl < 0)
- {
+ while (c) {
+ l = (c + b[0]) & BN_MASK2;
+ c = (l < c);
+ r[0] = l;
+ if (++dl >= 0)
+ break;
+
+ l = (c + b[1]) & BN_MASK2;
+ c = (l < c);
+ r[1] = l;
+ if (++dl >= 0)
+ break;
+
+ l = (c + b[2]) & BN_MASK2;
+ c = (l < c);
+ r[2] = l;
+ if (++dl >= 0)
+ break;
+
+ l = (c + b[3]) & BN_MASK2;
+ c = (l < c);
+ r[3] = l;
+ if (++dl >= 0)
+ break;
+
+ save_dl = dl;
+ b += 4;
+ r += 4;
+ }
+ if (dl < 0) {
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n", cl, dl);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n",
+ cl, dl);
#endif
- if (save_dl < dl)
- {
- switch (dl - save_dl)
- {
- case 1:
- r[1] = b[1];
- if (++dl >= 0) break;
- case 2:
- r[2] = b[2];
- if (++dl >= 0) break;
- case 3:
- r[3] = b[3];
- if (++dl >= 0) break;
- }
- b += 4;
- r += 4;
- }
- }
- if (dl < 0)
- {
+ if (save_dl < dl) {
+ switch (dl - save_dl) {
+ case 1:
+ r[1] = b[1];
+ if (++dl >= 0)
+ break;
+ case 2:
+ r[2] = b[2];
+ if (++dl >= 0)
+ break;
+ case 3:
+ r[3] = b[3];
+ if (++dl >= 0)
+ break;
+ }
+ b += 4;
+ r += 4;
+ }
+ }
+ if (dl < 0) {
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n", cl, dl);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n",
+ cl, dl);
#endif
- for(;;)
- {
- r[0] = b[0];
- if (++dl >= 0) break;
- r[1] = b[1];
- if (++dl >= 0) break;
- r[2] = b[2];
- if (++dl >= 0) break;
- r[3] = b[3];
- if (++dl >= 0) break;
-
- b += 4;
- r += 4;
- }
- }
- }
- else
- {
- int save_dl = dl;
+ for (;;) {
+ r[0] = b[0];
+ if (++dl >= 0)
+ break;
+ r[1] = b[1];
+ if (++dl >= 0)
+ break;
+ r[2] = b[2];
+ if (++dl >= 0)
+ break;
+ r[3] = b[3];
+ if (++dl >= 0)
+ break;
+
+ b += 4;
+ r += 4;
+ }
+ }
+ } else {
+ int save_dl = dl;
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl);
#endif
- while (c)
- {
- t=(a[0]+c)&BN_MASK2;
- c=(t < c);
- r[0]=t;
- if (--dl <= 0) break;
-
- t=(a[1]+c)&BN_MASK2;
- c=(t < c);
- r[1]=t;
- if (--dl <= 0) break;
-
- t=(a[2]+c)&BN_MASK2;
- c=(t < c);
- r[2]=t;
- if (--dl <= 0) break;
-
- t=(a[3]+c)&BN_MASK2;
- c=(t < c);
- r[3]=t;
- if (--dl <= 0) break;
-
- save_dl = dl;
- a+=4;
- r+=4;
- }
+ while (c) {
+ t = (a[0] + c) & BN_MASK2;
+ c = (t < c);
+ r[0] = t;
+ if (--dl <= 0)
+ break;
+
+ t = (a[1] + c) & BN_MASK2;
+ c = (t < c);
+ r[1] = t;
+ if (--dl <= 0)
+ break;
+
+ t = (a[2] + c) & BN_MASK2;
+ c = (t < c);
+ r[2] = t;
+ if (--dl <= 0)
+ break;
+
+ t = (a[3] + c) & BN_MASK2;
+ c = (t < c);
+ r[3] = t;
+ if (--dl <= 0)
+ break;
+
+ save_dl = dl;
+ a += 4;
+ r += 4;
+ }
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl,
+ dl);
#endif
- if (dl > 0)
- {
- if (save_dl > dl)
- {
- switch (save_dl - dl)
- {
- case 1:
- r[1] = a[1];
- if (--dl <= 0) break;
- case 2:
- r[2] = a[2];
- if (--dl <= 0) break;
- case 3:
- r[3] = a[3];
- if (--dl <= 0) break;
- }
- a += 4;
- r += 4;
- }
- }
- if (dl > 0)
- {
+ if (dl > 0) {
+ if (save_dl > dl) {
+ switch (save_dl - dl) {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0)
+ break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0)
+ break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0)
+ break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0) {
#ifdef BN_COUNT
- fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n", cl, dl);
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n",
+ cl, dl);
#endif
- for(;;)
- {
- r[0] = a[0];
- if (--dl <= 0) break;
- r[1] = a[1];
- if (--dl <= 0) break;
- r[2] = a[2];
- if (--dl <= 0) break;
- r[3] = a[3];
- if (--dl <= 0) break;
-
- a += 4;
- r += 4;
- }
- }
- }
- return c;
- }
+ for (;;) {
+ r[0] = a[0];
+ if (--dl <= 0)
+ break;
+ r[1] = a[1];
+ if (--dl <= 0)
+ break;
+ r[2] = a[2];
+ if (--dl <= 0)
+ break;
+ r[3] = a[3];
+ if (--dl <= 0)
+ break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+}
#ifdef BN_RECURSION
-/* Karatsuba recursive multiplication algorithm
- * (cf. Knuth, The Art of Computer Programming, Vol. 2) */
+/*
+ * Karatsuba recursive multiplication algorithm (cf. Knuth, The Art of
+ * Computer Programming, Vol. 2)
+ */
-/* r is 2*n2 words in size,
+/*-
+ * r is 2*n2 words in size,
* a and b are both n2 words in size.
* n2 must be a power of 2.
* We multiply and return the result.
@@ -391,776 +425,740 @@ BN_ULONG bn_add_part_words(BN_ULONG *r,
*/
/* dnX may not be positive, but n2/2+dnX has to be */
void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
- int dna, int dnb, BN_ULONG *t)
- {
- int n=n2/2,c1,c2;
- int tna=n+dna, tnb=n+dnb;
- unsigned int neg,zero;
- BN_ULONG ln,lo,*p;
+ int dna, int dnb, BN_ULONG *t)
+{
+ int n = n2 / 2, c1, c2;
+ int tna = n + dna, tnb = n + dnb;
+ unsigned int neg, zero;
+ BN_ULONG ln, lo, *p;
# ifdef BN_COUNT
- fprintf(stderr," bn_mul_recursive %d%+d * %d%+d\n",n2,dna,n2,dnb);
+ fprintf(stderr, " bn_mul_recursive %d%+d * %d%+d\n", n2, dna, n2, dnb);
# endif
# ifdef BN_MUL_COMBA
# if 0
- if (n2 == 4)
- {
- bn_mul_comba4(r,a,b);
- return;
- }
+ if (n2 == 4) {
+ bn_mul_comba4(r, a, b);
+ return;
+ }
# endif
- /* Only call bn_mul_comba 8 if n2 == 8 and the
- * two arrays are complete [steve]
- */
- if (n2 == 8 && dna == 0 && dnb == 0)
- {
- bn_mul_comba8(r,a,b);
- return;
- }
-# endif /* BN_MUL_COMBA */
- /* Else do normal multiply */
- if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL)
- {
- bn_mul_normal(r,a,n2+dna,b,n2+dnb);
- if ((dna + dnb) < 0)
- memset(&r[2*n2 + dna + dnb], 0,
- sizeof(BN_ULONG) * -(dna + dnb));
- return;
- }
- /* r=(a[0]-a[1])*(b[1]-b[0]) */
- c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
- c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
- zero=neg=0;
- switch (c1*3+c2)
- {
- case -4:
- bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
- bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
- break;
- case -3:
- zero=1;
- break;
- case -2:
- bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
- bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
- neg=1;
- break;
- case -1:
- case 0:
- case 1:
- zero=1;
- break;
- case 2:
- bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
- bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
- neg=1;
- break;
- case 3:
- zero=1;
- break;
- case 4:
- bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
- bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
- break;
- }
+ /*
+ * Only call bn_mul_comba 8 if n2 == 8 and the two arrays are complete
+ * [steve]
+ */
+ if (n2 == 8 && dna == 0 && dnb == 0) {
+ bn_mul_comba8(r, a, b);
+ return;
+ }
+# endif /* BN_MUL_COMBA */
+ /* Else do normal multiply */
+ if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL) {
+ bn_mul_normal(r, a, n2 + dna, b, n2 + dnb);
+ if ((dna + dnb) < 0)
+ memset(&r[2 * n2 + dna + dnb], 0,
+ sizeof(BN_ULONG) * -(dna + dnb));
+ return;
+ }
+ /* r=(a[0]-a[1])*(b[1]-b[0]) */
+ c1 = bn_cmp_part_words(a, &(a[n]), tna, n - tna);
+ c2 = bn_cmp_part_words(&(b[n]), b, tnb, tnb - n);
+ zero = neg = 0;
+ switch (c1 * 3 + c2) {
+ case -4:
+ bn_sub_part_words(t, &(a[n]), a, tna, tna - n); /* - */
+ bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb); /* - */
+ break;
+ case -3:
+ zero = 1;
+ break;
+ case -2:
+ bn_sub_part_words(t, &(a[n]), a, tna, tna - n); /* - */
+ bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n); /* + */
+ neg = 1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ zero = 1;
+ break;
+ case 2:
+ bn_sub_part_words(t, a, &(a[n]), tna, n - tna); /* + */
+ bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb); /* - */
+ neg = 1;
+ break;
+ case 3:
+ zero = 1;
+ break;
+ case 4:
+ bn_sub_part_words(t, a, &(a[n]), tna, n - tna);
+ bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n);
+ break;
+ }
# ifdef BN_MUL_COMBA
- if (n == 4 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba4 could take
- extra args to do this well */
- {
- if (!zero)
- bn_mul_comba4(&(t[n2]),t,&(t[n]));
- else
- memset(&(t[n2]),0,8*sizeof(BN_ULONG));
-
- bn_mul_comba4(r,a,b);
- bn_mul_comba4(&(r[n2]),&(a[n]),&(b[n]));
- }
- else if (n == 8 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba8 could
- take extra args to do this
- well */
- {
- if (!zero)
- bn_mul_comba8(&(t[n2]),t,&(t[n]));
- else
- memset(&(t[n2]),0,16*sizeof(BN_ULONG));
-
- bn_mul_comba8(r,a,b);
- bn_mul_comba8(&(r[n2]),&(a[n]),&(b[n]));
- }
- else
-# endif /* BN_MUL_COMBA */
- {
- p= &(t[n2*2]);
- if (!zero)
- bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
- else
- memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
- bn_mul_recursive(r,a,b,n,0,0,p);
- bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),n,dna,dnb,p);
- }
-
- /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- */
-
- c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
-
- if (neg) /* if t[32] is negative */
- {
- c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
- }
- else
- {
- /* Might have a carry */
- c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2));
- }
-
- /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- * c1 holds the carry bits
- */
- c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
- if (c1)
- {
- p= &(r[n+n2]);
- lo= *p;
- ln=(lo+c1)&BN_MASK2;
- *p=ln;
-
- /* The overflow will stop before we over write
- * words we should not overwrite */
- if (ln < (BN_ULONG)c1)
- {
- do {
- p++;
- lo= *p;
- ln=(lo+1)&BN_MASK2;
- *p=ln;
- } while (ln == 0);
- }
- }
- }
-
-/* n+tn is the word length
- * t needs to be n*4 is size, as does r */
+ if (n == 4 && dna == 0 && dnb == 0) { /* XXX: bn_mul_comba4 could take
+ * extra args to do this well */
+ if (!zero)
+ bn_mul_comba4(&(t[n2]), t, &(t[n]));
+ else
+ memset(&(t[n2]), 0, 8 * sizeof(BN_ULONG));
+
+ bn_mul_comba4(r, a, b);
+ bn_mul_comba4(&(r[n2]), &(a[n]), &(b[n]));
+ } else if (n == 8 && dna == 0 && dnb == 0) { /* XXX: bn_mul_comba8 could
+ * take extra args to do
+ * this well */
+ if (!zero)
+ bn_mul_comba8(&(t[n2]), t, &(t[n]));
+ else
+ memset(&(t[n2]), 0, 16 * sizeof(BN_ULONG));
+
+ bn_mul_comba8(r, a, b);
+ bn_mul_comba8(&(r[n2]), &(a[n]), &(b[n]));
+ } else
+# endif /* BN_MUL_COMBA */
+ {
+ p = &(t[n2 * 2]);
+ if (!zero)
+ bn_mul_recursive(&(t[n2]), t, &(t[n]), n, 0, 0, p);
+ else
+ memset(&(t[n2]), 0, n2 * sizeof(BN_ULONG));
+ bn_mul_recursive(r, a, b, n, 0, 0, p);
+ bn_mul_recursive(&(r[n2]), &(a[n]), &(b[n]), n, dna, dnb, p);
+ }
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
+
+ if (neg) { /* if t[32] is negative */
+ c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
+ } else {
+ /* Might have a carry */
+ c1 += (int)(bn_add_words(&(t[n2]), &(t[n2]), t, n2));
+ }
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ * c1 holds the carry bits
+ */
+ c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
+ if (c1) {
+ p = &(r[n + n2]);
+ lo = *p;
+ ln = (lo + c1) & BN_MASK2;
+ *p = ln;
+
+ /*
+ * The overflow will stop before we over write words we should not
+ * overwrite
+ */
+ if (ln < (BN_ULONG)c1) {
+ do {
+ p++;
+ lo = *p;
+ ln = (lo + 1) & BN_MASK2;
+ *p = ln;
+ } while (ln == 0);
+ }
+ }
+}
+
+/*
+ * n+tn is the word length t needs to be n*4 is size, as does r
+ */
/* tnX may not be negative but less than n */
void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,
- int tna, int tnb, BN_ULONG *t)
- {
- int i,j,n2=n*2;
- int c1,c2,neg;
- BN_ULONG ln,lo,*p;
+ int tna, int tnb, BN_ULONG *t)
+{
+ int i, j, n2 = n * 2;
+ int c1, c2, neg;
+ BN_ULONG ln, lo, *p;
# ifdef BN_COUNT
- fprintf(stderr," bn_mul_part_recursive (%d%+d) * (%d%+d)\n",
- n, tna, n, tnb);
+ fprintf(stderr, " bn_mul_part_recursive (%d%+d) * (%d%+d)\n",
+ n, tna, n, tnb);
# endif
- if (n < 8)
- {
- bn_mul_normal(r,a,n+tna,b,n+tnb);
- return;
- }
-
- /* r=(a[0]-a[1])*(b[1]-b[0]) */
- c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
- c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
- neg=0;
- switch (c1*3+c2)
- {
- case -4:
- bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
- bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
- break;
- case -3:
- /* break; */
- case -2:
- bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
- bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
- neg=1;
- break;
- case -1:
- case 0:
- case 1:
- /* break; */
- case 2:
- bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
- bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
- neg=1;
- break;
- case 3:
- /* break; */
- case 4:
- bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
- bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
- break;
- }
- /* The zero case isn't yet implemented here. The speedup
- would probably be negligible. */
+ if (n < 8) {
+ bn_mul_normal(r, a, n + tna, b, n + tnb);
+ return;
+ }
+
+ /* r=(a[0]-a[1])*(b[1]-b[0]) */
+ c1 = bn_cmp_part_words(a, &(a[n]), tna, n - tna);
+ c2 = bn_cmp_part_words(&(b[n]), b, tnb, tnb - n);
+ neg = 0;
+ switch (c1 * 3 + c2) {
+ case -4:
+ bn_sub_part_words(t, &(a[n]), a, tna, tna - n); /* - */
+ bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb); /* - */
+ break;
+ case -3:
+ /* break; */
+ case -2:
+ bn_sub_part_words(t, &(a[n]), a, tna, tna - n); /* - */
+ bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n); /* + */
+ neg = 1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ /* break; */
+ case 2:
+ bn_sub_part_words(t, a, &(a[n]), tna, n - tna); /* + */
+ bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb); /* - */
+ neg = 1;
+ break;
+ case 3:
+ /* break; */
+ case 4:
+ bn_sub_part_words(t, a, &(a[n]), tna, n - tna);
+ bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n);
+ break;
+ }
+ /*
+ * The zero case isn't yet implemented here. The speedup would probably
+ * be negligible.
+ */
# if 0
- if (n == 4)
- {
- bn_mul_comba4(&(t[n2]),t,&(t[n]));
- bn_mul_comba4(r,a,b);
- bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn);
- memset(&(r[n2+tn*2]),0,sizeof(BN_ULONG)*(n2-tn*2));
- }
- else
+ if (n == 4) {
+ bn_mul_comba4(&(t[n2]), t, &(t[n]));
+ bn_mul_comba4(r, a, b);
+ bn_mul_normal(&(r[n2]), &(a[n]), tn, &(b[n]), tn);
+ memset(&(r[n2 + tn * 2]), 0, sizeof(BN_ULONG) * (n2 - tn * 2));
+ } else
# endif
- if (n == 8)
- {
- bn_mul_comba8(&(t[n2]),t,&(t[n]));
- bn_mul_comba8(r,a,b);
- bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
- memset(&(r[n2+tna+tnb]),0,sizeof(BN_ULONG)*(n2-tna-tnb));
- }
- else
- {
- p= &(t[n2*2]);
- bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
- bn_mul_recursive(r,a,b,n,0,0,p);
- i=n/2;
- /* If there is only a bottom half to the number,
- * just do it */
- if (tna > tnb)
- j = tna - i;
- else
- j = tnb - i;
- if (j == 0)
- {
- bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),
- i,tna-i,tnb-i,p);
- memset(&(r[n2+i*2]),0,sizeof(BN_ULONG)*(n2-i*2));
- }
- else if (j > 0) /* eg, n == 16, i == 8 and tn == 11 */
- {
- bn_mul_part_recursive(&(r[n2]),&(a[n]),&(b[n]),
- i,tna-i,tnb-i,p);
- memset(&(r[n2+tna+tnb]),0,
- sizeof(BN_ULONG)*(n2-tna-tnb));
- }
- else /* (j < 0) eg, n == 16, i == 8 and tn == 5 */
- {
- memset(&(r[n2]),0,sizeof(BN_ULONG)*n2);
- if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL
- && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL)
- {
- bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
- }
- else
- {
- for (;;)
- {
- i/=2;
- /* these simplified conditions work
- * exclusively because difference
- * between tna and tnb is 1 or 0 */
- if (i < tna || i < tnb)
- {
- bn_mul_part_recursive(&(r[n2]),
- &(a[n]),&(b[n]),
- i,tna-i,tnb-i,p);
- break;
- }
- else if (i == tna || i == tnb)
- {
- bn_mul_recursive(&(r[n2]),
- &(a[n]),&(b[n]),
- i,tna-i,tnb-i,p);
- break;
- }
- }
- }
- }
- }
-
- /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- */
-
- c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
-
- if (neg) /* if t[32] is negative */
- {
- c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
- }
- else
- {
- /* Might have a carry */
- c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2));
- }
-
- /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- * c1 holds the carry bits
- */
- c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
- if (c1)
- {
- p= &(r[n+n2]);
- lo= *p;
- ln=(lo+c1)&BN_MASK2;
- *p=ln;
-
- /* The overflow will stop before we over write
- * words we should not overwrite */
- if (ln < (BN_ULONG)c1)
- {
- do {
- p++;
- lo= *p;
- ln=(lo+1)&BN_MASK2;
- *p=ln;
- } while (ln == 0);
- }
- }
- }
-
-/* a and b must be the same size, which is n2.
+ if (n == 8) {
+ bn_mul_comba8(&(t[n2]), t, &(t[n]));
+ bn_mul_comba8(r, a, b);
+ bn_mul_normal(&(r[n2]), &(a[n]), tna, &(b[n]), tnb);
+ memset(&(r[n2 + tna + tnb]), 0, sizeof(BN_ULONG) * (n2 - tna - tnb));
+ } else {
+ p = &(t[n2 * 2]);
+ bn_mul_recursive(&(t[n2]), t, &(t[n]), n, 0, 0, p);
+ bn_mul_recursive(r, a, b, n, 0, 0, p);
+ i = n / 2;
+ /*
+ * If there is only a bottom half to the number, just do it
+ */
+ if (tna > tnb)
+ j = tna - i;
+ else
+ j = tnb - i;
+ if (j == 0) {
+ bn_mul_recursive(&(r[n2]), &(a[n]), &(b[n]),
+ i, tna - i, tnb - i, p);
+ memset(&(r[n2 + i * 2]), 0, sizeof(BN_ULONG) * (n2 - i * 2));
+ } else if (j > 0) { /* eg, n == 16, i == 8 and tn == 11 */
+ bn_mul_part_recursive(&(r[n2]), &(a[n]), &(b[n]),
+ i, tna - i, tnb - i, p);
+ memset(&(r[n2 + tna + tnb]), 0,
+ sizeof(BN_ULONG) * (n2 - tna - tnb));
+ } else { /* (j < 0) eg, n == 16, i == 8 and tn == 5 */
+
+ memset(&(r[n2]), 0, sizeof(BN_ULONG) * n2);
+ if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL
+ && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL) {
+ bn_mul_normal(&(r[n2]), &(a[n]), tna, &(b[n]), tnb);
+ } else {
+ for (;;) {
+ i /= 2;
+ /*
+ * these simplified conditions work exclusively because
+ * difference between tna and tnb is 1 or 0
+ */
+ if (i < tna || i < tnb) {
+ bn_mul_part_recursive(&(r[n2]),
+ &(a[n]), &(b[n]),
+ i, tna - i, tnb - i, p);
+ break;
+ } else if (i == tna || i == tnb) {
+ bn_mul_recursive(&(r[n2]),
+ &(a[n]), &(b[n]),
+ i, tna - i, tnb - i, p);
+ break;
+ }
+ }
+ }
+ }
+ }
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
+
+ if (neg) { /* if t[32] is negative */
+ c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
+ } else {
+ /* Might have a carry */
+ c1 += (int)(bn_add_words(&(t[n2]), &(t[n2]), t, n2));
+ }
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ * c1 holds the carry bits
+ */
+ c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
+ if (c1) {
+ p = &(r[n + n2]);
+ lo = *p;
+ ln = (lo + c1) & BN_MASK2;
+ *p = ln;
+
+ /*
+ * The overflow will stop before we over write words we should not
+ * overwrite
+ */
+ if (ln < (BN_ULONG)c1) {
+ do {
+ p++;
+ lo = *p;
+ ln = (lo + 1) & BN_MASK2;
+ *p = ln;
+ } while (ln == 0);
+ }
+ }
+}
+
+/*-
+ * a and b must be the same size, which is n2.
* r needs to be n2 words and t needs to be n2*2
*/
void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
- BN_ULONG *t)
- {
- int n=n2/2;
+ BN_ULONG *t)
+{
+ int n = n2 / 2;
# ifdef BN_COUNT
- fprintf(stderr," bn_mul_low_recursive %d * %d\n",n2,n2);
+ fprintf(stderr, " bn_mul_low_recursive %d * %d\n", n2, n2);
# endif
- bn_mul_recursive(r,a,b,n,0,0,&(t[0]));
- if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL)
- {
- bn_mul_low_recursive(&(t[0]),&(a[0]),&(b[n]),n,&(t[n2]));
- bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
- bn_mul_low_recursive(&(t[0]),&(a[n]),&(b[0]),n,&(t[n2]));
- bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
- }
- else
- {
- bn_mul_low_normal(&(t[0]),&(a[0]),&(b[n]),n);
- bn_mul_low_normal(&(t[n]),&(a[n]),&(b[0]),n);
- bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
- bn_add_words(&(r[n]),&(r[n]),&(t[n]),n);
- }
- }
-
-/* a and b must be the same size, which is n2.
+ bn_mul_recursive(r, a, b, n, 0, 0, &(t[0]));
+ if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL) {
+ bn_mul_low_recursive(&(t[0]), &(a[0]), &(b[n]), n, &(t[n2]));
+ bn_add_words(&(r[n]), &(r[n]), &(t[0]), n);
+ bn_mul_low_recursive(&(t[0]), &(a[n]), &(b[0]), n, &(t[n2]));
+ bn_add_words(&(r[n]), &(r[n]), &(t[0]), n);
+ } else {
+ bn_mul_low_normal(&(t[0]), &(a[0]), &(b[n]), n);
+ bn_mul_low_normal(&(t[n]), &(a[n]), &(b[0]), n);
+ bn_add_words(&(r[n]), &(r[n]), &(t[0]), n);
+ bn_add_words(&(r[n]), &(r[n]), &(t[n]), n);
+ }
+}
+
+/*-
+ * a and b must be the same size, which is n2.
* r needs to be n2 words and t needs to be n2*2
* l is the low words of the output.
* t needs to be n2*3
*/
void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2,
- BN_ULONG *t)
- {
- int i,n;
- int c1,c2;
- int neg,oneg,zero;
- BN_ULONG ll,lc,*lp,*mp;
+ BN_ULONG *t)
+{
+ int i, n;
+ int c1, c2;
+ int neg, oneg, zero;
+ BN_ULONG ll, lc, *lp, *mp;
# ifdef BN_COUNT
- fprintf(stderr," bn_mul_high %d * %d\n",n2,n2);
+ fprintf(stderr, " bn_mul_high %d * %d\n", n2, n2);
# endif
- n=n2/2;
-
- /* Calculate (al-ah)*(bh-bl) */
- neg=zero=0;
- c1=bn_cmp_words(&(a[0]),&(a[n]),n);
- c2=bn_cmp_words(&(b[n]),&(b[0]),n);
- switch (c1*3+c2)
- {
- case -4:
- bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n);
- bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n);
- break;
- case -3:
- zero=1;
- break;
- case -2:
- bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n);
- bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n);
- neg=1;
- break;
- case -1:
- case 0:
- case 1:
- zero=1;
- break;
- case 2:
- bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n);
- bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n);
- neg=1;
- break;
- case 3:
- zero=1;
- break;
- case 4:
- bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n);
- bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n);
- break;
- }
-
- oneg=neg;
- /* t[10] = (a[0]-a[1])*(b[1]-b[0]) */
- /* r[10] = (a[1]*b[1]) */
+ n = n2 / 2;
+
+ /* Calculate (al-ah)*(bh-bl) */
+ neg = zero = 0;
+ c1 = bn_cmp_words(&(a[0]), &(a[n]), n);
+ c2 = bn_cmp_words(&(b[n]), &(b[0]), n);
+ switch (c1 * 3 + c2) {
+ case -4:
+ bn_sub_words(&(r[0]), &(a[n]), &(a[0]), n);
+ bn_sub_words(&(r[n]), &(b[0]), &(b[n]), n);
+ break;
+ case -3:
+ zero = 1;
+ break;
+ case -2:
+ bn_sub_words(&(r[0]), &(a[n]), &(a[0]), n);
+ bn_sub_words(&(r[n]), &(b[n]), &(b[0]), n);
+ neg = 1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ zero = 1;
+ break;
+ case 2:
+ bn_sub_words(&(r[0]), &(a[0]), &(a[n]), n);
+ bn_sub_words(&(r[n]), &(b[0]), &(b[n]), n);
+ neg = 1;
+ break;
+ case 3:
+ zero = 1;
+ break;
+ case 4:
+ bn_sub_words(&(r[0]), &(a[0]), &(a[n]), n);
+ bn_sub_words(&(r[n]), &(b[n]), &(b[0]), n);
+ break;
+ }
+
+ oneg = neg;
+ /* t[10] = (a[0]-a[1])*(b[1]-b[0]) */
+ /* r[10] = (a[1]*b[1]) */
# ifdef BN_MUL_COMBA
- if (n == 8)
- {
- bn_mul_comba8(&(t[0]),&(r[0]),&(r[n]));
- bn_mul_comba8(r,&(a[n]),&(b[n]));
- }
- else
+ if (n == 8) {
+ bn_mul_comba8(&(t[0]), &(r[0]), &(r[n]));
+ bn_mul_comba8(r, &(a[n]), &(b[n]));
+ } else
# endif
- {
- bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,0,0,&(t[n2]));
- bn_mul_recursive(r,&(a[n]),&(b[n]),n,0,0,&(t[n2]));
- }
-
- /* s0 == low(al*bl)
- * s1 == low(ah*bh)+low((al-ah)*(bh-bl))+low(al*bl)+high(al*bl)
- * We know s0 and s1 so the only unknown is high(al*bl)
- * high(al*bl) == s1 - low(ah*bh+s0+(al-ah)*(bh-bl))
- * high(al*bl) == s1 - (r[0]+l[0]+t[0])
- */
- if (l != NULL)
- {
- lp= &(t[n2+n]);
- c1=(int)(bn_add_words(lp,&(r[0]),&(l[0]),n));
- }
- else
- {
- c1=0;
- lp= &(r[0]);
- }
-
- if (neg)
- neg=(int)(bn_sub_words(&(t[n2]),lp,&(t[0]),n));
- else
- {
- bn_add_words(&(t[n2]),lp,&(t[0]),n);
- neg=0;
- }
-
- if (l != NULL)
- {
- bn_sub_words(&(t[n2+n]),&(l[n]),&(t[n2]),n);
- }
- else
- {
- lp= &(t[n2+n]);
- mp= &(t[n2]);
- for (i=0; i<n; i++)
- lp[i]=((~mp[i])+1)&BN_MASK2;
- }
-
- /* s[0] = low(al*bl)
- * t[3] = high(al*bl)
- * t[10] = (a[0]-a[1])*(b[1]-b[0]) neg is the sign
- * r[10] = (a[1]*b[1])
- */
- /* R[10] = al*bl
- * R[21] = al*bl + ah*bh + (a[0]-a[1])*(b[1]-b[0])
- * R[32] = ah*bh
- */
- /* R[1]=t[3]+l[0]+r[0](+-)t[0] (have carry/borrow)
- * R[2]=r[0]+t[3]+r[1](+-)t[1] (have carry/borrow)
- * R[3]=r[1]+(carry/borrow)
- */
- if (l != NULL)
- {
- lp= &(t[n2]);
- c1= (int)(bn_add_words(lp,&(t[n2+n]),&(l[0]),n));
- }
- else
- {
- lp= &(t[n2+n]);
- c1=0;
- }
- c1+=(int)(bn_add_words(&(t[n2]),lp, &(r[0]),n));
- if (oneg)
- c1-=(int)(bn_sub_words(&(t[n2]),&(t[n2]),&(t[0]),n));
- else
- c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),&(t[0]),n));
-
- c2 =(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n2+n]),n));
- c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(r[n]),n));
- if (oneg)
- c2-=(int)(bn_sub_words(&(r[0]),&(r[0]),&(t[n]),n));
- else
- c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n]),n));
-
- if (c1 != 0) /* Add starting at r[0], could be +ve or -ve */
- {
- i=0;
- if (c1 > 0)
- {
- lc=c1;
- do {
- ll=(r[i]+lc)&BN_MASK2;
- r[i++]=ll;
- lc=(lc > ll);
- } while (lc);
- }
- else
- {
- lc= -c1;
- do {
- ll=r[i];
- r[i++]=(ll-lc)&BN_MASK2;
- lc=(lc > ll);
- } while (lc);
- }
- }
- if (c2 != 0) /* Add starting at r[1] */
- {
- i=n;
- if (c2 > 0)
- {
- lc=c2;
- do {
- ll=(r[i]+lc)&BN_MASK2;
- r[i++]=ll;
- lc=(lc > ll);
- } while (lc);
- }
- else
- {
- lc= -c2;
- do {
- ll=r[i];
- r[i++]=(ll-lc)&BN_MASK2;
- lc=(lc > ll);
- } while (lc);
- }
- }
- }
-#endif /* BN_RECURSION */
+ {
+ bn_mul_recursive(&(t[0]), &(r[0]), &(r[n]), n, 0, 0, &(t[n2]));
+ bn_mul_recursive(r, &(a[n]), &(b[n]), n, 0, 0, &(t[n2]));
+ }
+
+ /*-
+ * s0 == low(al*bl)
+ * s1 == low(ah*bh)+low((al-ah)*(bh-bl))+low(al*bl)+high(al*bl)
+ * We know s0 and s1 so the only unknown is high(al*bl)
+ * high(al*bl) == s1 - low(ah*bh+s0+(al-ah)*(bh-bl))
+ * high(al*bl) == s1 - (r[0]+l[0]+t[0])
+ */
+ if (l != NULL) {
+ lp = &(t[n2 + n]);
+ c1 = (int)(bn_add_words(lp, &(r[0]), &(l[0]), n));
+ } else {
+ c1 = 0;
+ lp = &(r[0]);
+ }
+
+ if (neg)
+ neg = (int)(bn_sub_words(&(t[n2]), lp, &(t[0]), n));
+ else {
+ bn_add_words(&(t[n2]), lp, &(t[0]), n);
+ neg = 0;
+ }
+
+ if (l != NULL) {
+ bn_sub_words(&(t[n2 + n]), &(l[n]), &(t[n2]), n);
+ } else {
+ lp = &(t[n2 + n]);
+ mp = &(t[n2]);
+ for (i = 0; i < n; i++)
+ lp[i] = ((~mp[i]) + 1) & BN_MASK2;
+ }
+
+ /*-
+ * s[0] = low(al*bl)
+ * t[3] = high(al*bl)
+ * t[10] = (a[0]-a[1])*(b[1]-b[0]) neg is the sign
+ * r[10] = (a[1]*b[1])
+ */
+ /*-
+ * R[10] = al*bl
+ * R[21] = al*bl + ah*bh + (a[0]-a[1])*(b[1]-b[0])
+ * R[32] = ah*bh
+ */
+ /*-
+ * R[1]=t[3]+l[0]+r[0](+-)t[0] (have carry/borrow)
+ * R[2]=r[0]+t[3]+r[1](+-)t[1] (have carry/borrow)
+ * R[3]=r[1]+(carry/borrow)
+ */
+ if (l != NULL) {
+ lp = &(t[n2]);
+ c1 = (int)(bn_add_words(lp, &(t[n2 + n]), &(l[0]), n));
+ } else {
+ lp = &(t[n2 + n]);
+ c1 = 0;
+ }
+ c1 += (int)(bn_add_words(&(t[n2]), lp, &(r[0]), n));
+ if (oneg)
+ c1 -= (int)(bn_sub_words(&(t[n2]), &(t[n2]), &(t[0]), n));
+ else
+ c1 += (int)(bn_add_words(&(t[n2]), &(t[n2]), &(t[0]), n));
+
+ c2 = (int)(bn_add_words(&(r[0]), &(r[0]), &(t[n2 + n]), n));
+ c2 += (int)(bn_add_words(&(r[0]), &(r[0]), &(r[n]), n));
+ if (oneg)
+ c2 -= (int)(bn_sub_words(&(r[0]), &(r[0]), &(t[n]), n));
+ else
+ c2 += (int)(bn_add_words(&(r[0]), &(r[0]), &(t[n]), n));
+
+ if (c1 != 0) { /* Add starting at r[0], could be +ve or -ve */
+ i = 0;
+ if (c1 > 0) {
+ lc = c1;
+ do {
+ ll = (r[i] + lc) & BN_MASK2;
+ r[i++] = ll;
+ lc = (lc > ll);
+ } while (lc);
+ } else {
+ lc = -c1;
+ do {
+ ll = r[i];
+ r[i++] = (ll - lc) & BN_MASK2;
+ lc = (lc > ll);
+ } while (lc);
+ }
+ }
+ if (c2 != 0) { /* Add starting at r[1] */
+ i = n;
+ if (c2 > 0) {
+ lc = c2;
+ do {
+ ll = (r[i] + lc) & BN_MASK2;
+ r[i++] = ll;
+ lc = (lc > ll);
+ } while (lc);
+ } else {
+ lc = -c2;
+ do {
+ ll = r[i];
+ r[i++] = (ll - lc) & BN_MASK2;
+ lc = (lc > ll);
+ } while (lc);
+ }
+ }
+}
+#endif /* BN_RECURSION */
int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
- {
- int ret=0;
- int top,al,bl;
- BIGNUM *rr;
+{
+ int ret = 0;
+ int top, al, bl;
+ BIGNUM *rr;
#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
- int i;
+ int i;
#endif
#ifdef BN_RECURSION
- BIGNUM *t=NULL;
- int j=0,k;
+ BIGNUM *t = NULL;
+ int j = 0, k;
#endif
#ifdef BN_COUNT
- fprintf(stderr,"BN_mul %d * %d\n",a->top,b->top);
+ fprintf(stderr, "BN_mul %d * %d\n", a->top, b->top);
#endif
- bn_check_top(a);
- bn_check_top(b);
- bn_check_top(r);
-
- al=a->top;
- bl=b->top;
-
- if ((al == 0) || (bl == 0))
- {
- BN_zero(r);
- return(1);
- }
- top=al+bl;
-
- BN_CTX_start(ctx);
- if ((r == a) || (r == b))
- {
- if ((rr = BN_CTX_get(ctx)) == NULL) goto err;
- }
- else
- rr = r;
- rr->neg=a->neg^b->neg;
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(r);
+
+ al = a->top;
+ bl = b->top;
+
+ if ((al == 0) || (bl == 0)) {
+ BN_zero(r);
+ return (1);
+ }
+ top = al + bl;
+
+ BN_CTX_start(ctx);
+ if ((r == a) || (r == b)) {
+ if ((rr = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ } else
+ rr = r;
+ rr->neg = a->neg ^ b->neg;
#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
- i = al-bl;
+ i = al - bl;
#endif
#ifdef BN_MUL_COMBA
- if (i == 0)
- {
+ if (i == 0) {
# if 0
- if (al == 4)
- {
- if (bn_wexpand(rr,8) == NULL) goto err;
- rr->top=8;
- bn_mul_comba4(rr->d,a->d,b->d);
- goto end;
- }
+ if (al == 4) {
+ if (bn_wexpand(rr, 8) == NULL)
+ goto err;
+ rr->top = 8;
+ bn_mul_comba4(rr->d, a->d, b->d);
+ goto end;
+ }
# endif
- if (al == 8)
- {
- if (bn_wexpand(rr,16) == NULL) goto err;
- rr->top=16;
- bn_mul_comba8(rr->d,a->d,b->d);
- goto end;
- }
- }
-#endif /* BN_MUL_COMBA */
+ if (al == 8) {
+ if (bn_wexpand(rr, 16) == NULL)
+ goto err;
+ rr->top = 16;
+ bn_mul_comba8(rr->d, a->d, b->d);
+ goto end;
+ }
+ }
+#endif /* BN_MUL_COMBA */
#ifdef BN_RECURSION
- if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL))
- {
- if (i >= -1 && i <= 1)
- {
- /* Find out the power of two lower or equal
- to the longest of the two numbers */
- if (i >= 0)
- {
- j = BN_num_bits_word((BN_ULONG)al);
- }
- if (i == -1)
- {
- j = BN_num_bits_word((BN_ULONG)bl);
- }
- j = 1<<(j-1);
- assert(j <= al || j <= bl);
- k = j+j;
- t = BN_CTX_get(ctx);
- if (t == NULL)
- goto err;
- if (al > j || bl > j)
- {
- if (bn_wexpand(t,k*4) == NULL) goto err;
- if (bn_wexpand(rr,k*4) == NULL) goto err;
- bn_mul_part_recursive(rr->d,a->d,b->d,
- j,al-j,bl-j,t->d);
- }
- else /* al <= j || bl <= j */
- {
- if (bn_wexpand(t,k*2) == NULL) goto err;
- if (bn_wexpand(rr,k*2) == NULL) goto err;
- bn_mul_recursive(rr->d,a->d,b->d,
- j,al-j,bl-j,t->d);
- }
- rr->top=top;
- goto end;
- }
-#if 0
- if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA))
- {
- BIGNUM *tmp_bn = (BIGNUM *)b;
- if (bn_wexpand(tmp_bn,al) == NULL) goto err;
- tmp_bn->d[bl]=0;
- bl++;
- i--;
- }
- else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA))
- {
- BIGNUM *tmp_bn = (BIGNUM *)a;
- if (bn_wexpand(tmp_bn,bl) == NULL) goto err;
- tmp_bn->d[al]=0;
- al++;
- i++;
- }
- if (i == 0)
- {
- /* symmetric and > 4 */
- /* 16 or larger */
- j=BN_num_bits_word((BN_ULONG)al);
- j=1<<(j-1);
- k=j+j;
- t = BN_CTX_get(ctx);
- if (al == j) /* exact multiple */
- {
- if (bn_wexpand(t,k*2) == NULL) goto err;
- if (bn_wexpand(rr,k*2) == NULL) goto err;
- bn_mul_recursive(rr->d,a->d,b->d,al,t->d);
- }
- else
- {
- if (bn_wexpand(t,k*4) == NULL) goto err;
- if (bn_wexpand(rr,k*4) == NULL) goto err;
- bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d);
- }
- rr->top=top;
- goto end;
- }
-#endif
- }
-#endif /* BN_RECURSION */
- if (bn_wexpand(rr,top) == NULL) goto err;
- rr->top=top;
- bn_mul_normal(rr->d,a->d,al,b->d,bl);
+ if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL)) {
+ if (i >= -1 && i <= 1) {
+ /*
+ * Find out the power of two lower or equal to the longest of the
+ * two numbers
+ */
+ if (i >= 0) {
+ j = BN_num_bits_word((BN_ULONG)al);
+ }
+ if (i == -1) {
+ j = BN_num_bits_word((BN_ULONG)bl);
+ }
+ j = 1 << (j - 1);
+ assert(j <= al || j <= bl);
+ k = j + j;
+ t = BN_CTX_get(ctx);
+ if (t == NULL)
+ goto err;
+ if (al > j || bl > j) {
+ if (bn_wexpand(t, k * 4) == NULL)
+ goto err;
+ if (bn_wexpand(rr, k * 4) == NULL)
+ goto err;
+ bn_mul_part_recursive(rr->d, a->d, b->d,
+ j, al - j, bl - j, t->d);
+ } else { /* al <= j || bl <= j */
+
+ if (bn_wexpand(t, k * 2) == NULL)
+ goto err;
+ if (bn_wexpand(rr, k * 2) == NULL)
+ goto err;
+ bn_mul_recursive(rr->d, a->d, b->d, j, al - j, bl - j, t->d);
+ }
+ rr->top = top;
+ goto end;
+ }
+# if 0
+ if (i == 1 && !BN_get_flags(b, BN_FLG_STATIC_DATA)) {
+ BIGNUM *tmp_bn = (BIGNUM *)b;
+ if (bn_wexpand(tmp_bn, al) == NULL)
+ goto err;
+ tmp_bn->d[bl] = 0;
+ bl++;
+ i--;
+ } else if (i == -1 && !BN_get_flags(a, BN_FLG_STATIC_DATA)) {
+ BIGNUM *tmp_bn = (BIGNUM *)a;
+ if (bn_wexpand(tmp_bn, bl) == NULL)
+ goto err;
+ tmp_bn->d[al] = 0;
+ al++;
+ i++;
+ }
+ if (i == 0) {
+ /* symmetric and > 4 */
+ /* 16 or larger */
+ j = BN_num_bits_word((BN_ULONG)al);
+ j = 1 << (j - 1);
+ k = j + j;
+ t = BN_CTX_get(ctx);
+ if (al == j) { /* exact multiple */
+ if (bn_wexpand(t, k * 2) == NULL)
+ goto err;
+ if (bn_wexpand(rr, k * 2) == NULL)
+ goto err;
+ bn_mul_recursive(rr->d, a->d, b->d, al, t->d);
+ } else {
+ if (bn_wexpand(t, k * 4) == NULL)
+ goto err;
+ if (bn_wexpand(rr, k * 4) == NULL)
+ goto err;
+ bn_mul_part_recursive(rr->d, a->d, b->d, al - j, j, t->d);
+ }
+ rr->top = top;
+ goto end;
+ }
+# endif
+ }
+#endif /* BN_RECURSION */
+ if (bn_wexpand(rr, top) == NULL)
+ goto err;
+ rr->top = top;
+ bn_mul_normal(rr->d, a->d, al, b->d, bl);
#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
-end:
+ end:
#endif
- bn_correct_top(rr);
- if (r != rr) BN_copy(r,rr);
- ret=1;
-err:
- bn_check_top(r);
- BN_CTX_end(ctx);
- return(ret);
- }
+ bn_correct_top(rr);
+ if (r != rr)
+ BN_copy(r, rr);
+ ret = 1;
+ err:
+ bn_check_top(r);
+ BN_CTX_end(ctx);
+ return (ret);
+}
void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)
- {
- BN_ULONG *rr;
+{
+ BN_ULONG *rr;
#ifdef BN_COUNT
- fprintf(stderr," bn_mul_normal %d * %d\n",na,nb);
+ fprintf(stderr, " bn_mul_normal %d * %d\n", na, nb);
#endif
- if (na < nb)
- {
- int itmp;
- BN_ULONG *ltmp;
-
- itmp=na; na=nb; nb=itmp;
- ltmp=a; a=b; b=ltmp;
-
- }
- rr= &(r[na]);
- if (nb <= 0)
- {
- (void)bn_mul_words(r,a,na,0);
- return;
- }
- else
- rr[0]=bn_mul_words(r,a,na,b[0]);
-
- for (;;)
- {
- if (--nb <= 0) return;
- rr[1]=bn_mul_add_words(&(r[1]),a,na,b[1]);
- if (--nb <= 0) return;
- rr[2]=bn_mul_add_words(&(r[2]),a,na,b[2]);
- if (--nb <= 0) return;
- rr[3]=bn_mul_add_words(&(r[3]),a,na,b[3]);
- if (--nb <= 0) return;
- rr[4]=bn_mul_add_words(&(r[4]),a,na,b[4]);
- rr+=4;
- r+=4;
- b+=4;
- }
- }
+ if (na < nb) {
+ int itmp;
+ BN_ULONG *ltmp;
+
+ itmp = na;
+ na = nb;
+ nb = itmp;
+ ltmp = a;
+ a = b;
+ b = ltmp;
+
+ }
+ rr = &(r[na]);
+ if (nb <= 0) {
+ (void)bn_mul_words(r, a, na, 0);
+ return;
+ } else
+ rr[0] = bn_mul_words(r, a, na, b[0]);
+
+ for (;;) {
+ if (--nb <= 0)
+ return;
+ rr[1] = bn_mul_add_words(&(r[1]), a, na, b[1]);
+ if (--nb <= 0)
+ return;
+ rr[2] = bn_mul_add_words(&(r[2]), a, na, b[2]);
+ if (--nb <= 0)
+ return;
+ rr[3] = bn_mul_add_words(&(r[3]), a, na, b[3]);
+ if (--nb <= 0)
+ return;
+ rr[4] = bn_mul_add_words(&(r[4]), a, na, b[4]);
+ rr += 4;
+ r += 4;
+ b += 4;
+ }
+}
void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
- {
+{
#ifdef BN_COUNT
- fprintf(stderr," bn_mul_low_normal %d * %d\n",n,n);
+ fprintf(stderr, " bn_mul_low_normal %d * %d\n", n, n);
#endif
- bn_mul_words(r,a,n,b[0]);
-
- for (;;)
- {
- if (--n <= 0) return;
- bn_mul_add_words(&(r[1]),a,n,b[1]);
- if (--n <= 0) return;
- bn_mul_add_words(&(r[2]),a,n,b[2]);
- if (--n <= 0) return;
- bn_mul_add_words(&(r[3]),a,n,b[3]);
- if (--n <= 0) return;
- bn_mul_add_words(&(r[4]),a,n,b[4]);
- r+=4;
- b+=4;
- }
- }
+ bn_mul_words(r, a, n, b[0]);
+
+ for (;;) {
+ if (--n <= 0)
+ return;
+ bn_mul_add_words(&(r[1]), a, n, b[1]);
+ if (--n <= 0)
+ return;
+ bn_mul_add_words(&(r[2]), a, n, b[2]);
+ if (--n <= 0)
+ return;
+ bn_mul_add_words(&(r[3]), a, n, b[3]);
+ if (--n <= 0)
+ return;
+ bn_mul_add_words(&(r[4]), a, n, b[4]);
+ r += 4;
+ b += 4;
+ }
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_nist.c b/Cryptlib/OpenSSL/crypto/bn/bn_nist.c
index 2ca5b013..66b2eb6f 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_nist.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_nist.c
@@ -10,7 +10,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -59,778 +59,817 @@
#include "bn_lcl.h"
#include "cryptlib.h"
-
-#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
/* pre-computed tables are "carry-less" values of modulus*(i+1) */
#if BN_BITS2 == 64
static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
- {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
- {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
- {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
- };
+ {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL}
+};
+
static const BN_ULONG _nist_p_192_sqr[] = {
- 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
- 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
- };
+ 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL
+};
+
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
- {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
- {0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
- };
+ {0x0000000000000001ULL, 0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL},
+ {0x0000000000000002ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL} /* this one is
+ * "carry-full" */
+};
+
static const BN_ULONG _nist_p_224_sqr[] = {
- 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
- 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
- 0xFFFFFFFFFFFFFFFFULL
- };
+ 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL,
+ 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+};
+
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
- {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
- {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
- {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
- {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
- {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
- };
+ {0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL},
+};
+
static const BN_ULONG _nist_p_256_sqr[] = {
- 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
- 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
- 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
- };
+ 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL
+};
+
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
- {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
- {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
- {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
- {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
- {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
- };
+ {0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, 0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, 0xFFFFFFFFFFFFFFFCULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, 0xFFFFFFFFFFFFFFFBULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, 0xFFFFFFFFFFFFFFFAULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+};
+
static const BN_ULONG _nist_p_384_sqr[] = {
- 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
- 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
- 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
- };
+ 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
+};
+
static const BN_ULONG _nist_p_521[] =
- {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0x00000000000001FFULL};
+ { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL
+};
+
static const BN_ULONG _nist_p_521_sqr[] = {
- 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL,
- 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL,
- 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL
- };
+ 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
+ 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
+ 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL
+};
#elif BN_BITS2 == 32
static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
- {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
- };
+ {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
+};
+
static const BN_ULONG _nist_p_192_sqr[] = {
- 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
- 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
- };
+ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000,
+ 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
+};
+
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
- {0x00000001,0x00000000,0x00000000,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0x00000002,0x00000000,0x00000000,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
- };
+ {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
+};
+
static const BN_ULONG _nist_p_224_sqr[] = {
- 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
- 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF
- };
+ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002,
+ 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF
+};
+
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
- {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
- 0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
- {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001,
- 0x00000000,0x00000000,0x00000002,0xFFFFFFFE},
- {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002,
- 0x00000000,0x00000000,0x00000003,0xFFFFFFFD},
- {0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003,
- 0x00000000,0x00000000,0x00000004,0xFFFFFFFC},
- {0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
- 0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
- };
+ {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001,
+ 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE},
+ {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002,
+ 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD},
+ {0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003,
+ 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC},
+ {0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004,
+ 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB},
+};
+
static const BN_ULONG _nist_p_256_sqr[] = {
- 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
- 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
- 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
- };
+ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001,
+ 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001,
+ 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE
+};
+
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
- {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- {0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
- };
+ {0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+};
+
static const BN_ULONG _nist_p_384_sqr[] = {
- 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE,
- 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000,
- 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
- };
-static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0x000001FF};
+ 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE,
+ 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000,
+ 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
+};
+
+static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0x000001FF
+};
+
static const BN_ULONG _nist_p_521_sqr[] = {
- 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
- 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
- 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF
- };
+ 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF
+};
#else
-#error "unsupported BN_BITS2"
+# error "unsupported BN_BITS2"
#endif
-
-static const BIGNUM _bignum_nist_p_192 =
- {
- (BN_ULONG *)_nist_p_192[0],
- BN_NIST_192_TOP,
- BN_NIST_192_TOP,
- 0,
- BN_FLG_STATIC_DATA
- };
-
-static const BIGNUM _bignum_nist_p_224 =
- {
- (BN_ULONG *)_nist_p_224[0],
- BN_NIST_224_TOP,
- BN_NIST_224_TOP,
- 0,
- BN_FLG_STATIC_DATA
- };
-
-static const BIGNUM _bignum_nist_p_256 =
- {
- (BN_ULONG *)_nist_p_256[0],
- BN_NIST_256_TOP,
- BN_NIST_256_TOP,
- 0,
- BN_FLG_STATIC_DATA
- };
-
-static const BIGNUM _bignum_nist_p_384 =
- {
- (BN_ULONG *)_nist_p_384[0],
- BN_NIST_384_TOP,
- BN_NIST_384_TOP,
- 0,
- BN_FLG_STATIC_DATA
- };
-
-static const BIGNUM _bignum_nist_p_521 =
- {
- (BN_ULONG *)_nist_p_521,
- BN_NIST_521_TOP,
- BN_NIST_521_TOP,
- 0,
- BN_FLG_STATIC_DATA
- };
-
+static const BIGNUM _bignum_nist_p_192 = {
+ (BN_ULONG *)_nist_p_192[0],
+ BN_NIST_192_TOP,
+ BN_NIST_192_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_224 = {
+ (BN_ULONG *)_nist_p_224[0],
+ BN_NIST_224_TOP,
+ BN_NIST_224_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_256 = {
+ (BN_ULONG *)_nist_p_256[0],
+ BN_NIST_256_TOP,
+ BN_NIST_256_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_384 = {
+ (BN_ULONG *)_nist_p_384[0],
+ BN_NIST_384_TOP,
+ BN_NIST_384_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_521 = {
+ (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP,
+ BN_NIST_521_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
const BIGNUM *BN_get0_nist_prime_192(void)
- {
- return &_bignum_nist_p_192;
- }
+{
+ return &_bignum_nist_p_192;
+}
const BIGNUM *BN_get0_nist_prime_224(void)
- {
- return &_bignum_nist_p_224;
- }
+{
+ return &_bignum_nist_p_224;
+}
const BIGNUM *BN_get0_nist_prime_256(void)
- {
- return &_bignum_nist_p_256;
- }
+{
+ return &_bignum_nist_p_256;
+}
const BIGNUM *BN_get0_nist_prime_384(void)
- {
- return &_bignum_nist_p_384;
- }
+{
+ return &_bignum_nist_p_384;
+}
const BIGNUM *BN_get0_nist_prime_521(void)
- {
- return &_bignum_nist_p_521;
- }
-
+{
+ return &_bignum_nist_p_521;
+}
static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
- {
- int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+{
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
#ifdef BN_DEBUG
- OPENSSL_assert(top <= max);
+ OPENSSL_assert(top <= max);
#endif
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- for (i = (max) - (top); i != 0; i--)
- *_tmp1++ = (BN_ULONG) 0;
- }
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ for (i = (max) - (top); i != 0; i--)
+ *_tmp1++ = (BN_ULONG)0;
+}
static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
- {
- int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- }
+{
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+}
#if BN_BITS2 == 64
-#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
-#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
+# define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+# define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
/*
* two following macros are implemented under assumption that they
* are called in a sequence with *ascending* n, i.e. as they are...
*/
-#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
- :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
-#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
-#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
+# define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
+ :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
+# define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
+# define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
#else
-#define bn_cp_64(to, n, from, m) \
- { \
- bn_cp_32(to, (n)*2, from, (m)*2); \
- bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
- }
-#define bn_64_set_0(to, n) \
- { \
- bn_32_set_0(to, (n)*2); \
- bn_32_set_0(to, (n)*2+1); \
- }
-#if BN_BITS2 == 32
-#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
-#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
-#endif
-#endif /* BN_BITS2 != 64 */
-
+# define bn_cp_64(to, n, from, m) \
+ { \
+ bn_cp_32(to, (n)*2, from, (m)*2); \
+ bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
+ }
+# define bn_64_set_0(to, n) \
+ { \
+ bn_32_set_0(to, (n)*2); \
+ bn_32_set_0(to, (n)*2+1); \
+ }
+# if BN_BITS2 == 32
+# define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+# define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+# endif
+#endif /* BN_BITS2 != 64 */
#define nist_set_192(to, from, a1, a2, a3) \
- { \
- bn_cp_64(to, 0, from, (a3) - 3) \
- bn_cp_64(to, 1, from, (a2) - 3) \
- bn_cp_64(to, 2, from, (a1) - 3) \
- }
+ { \
+ bn_cp_64(to, 0, from, (a3) - 3) \
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ bn_cp_64(to, 2, from, (a1) - 3) \
+ }
int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int top = a->top, i;
- int carry;
- register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_192_TOP],
- buf[BN_NIST_192_TOP],
- c_d[BN_NIST_192_TOP],
- *res;
- size_t mask;
- static const BIGNUM _bignum_nist_p_192_sqr = {
- (BN_ULONG *)_nist_p_192_sqr,
- sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
- sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
- 0,BN_FLG_STATIC_DATA };
-
- field = &_bignum_nist_p_192; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_192_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
-
- nist_set_192(t_d, buf, 0, 3, 3);
- carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, buf, 4, 4, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, buf, 5, 5, 5)
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
-
- if (carry > 0)
- carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
- else
- carry = 1;
-
- /*
- * we need 'if (carry==0 || result>=modulus) result-=modulus;'
- * as comparison implies subtraction, we can write
- * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
- * this is what happens below, but without explicit if:-) a.
- */
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
- mask &= 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
- nist_cp_bn(r_d, res, BN_NIST_192_TOP);
- r->top = BN_NIST_192_TOP;
- bn_correct_top(r);
-
- return 1;
- }
-
-typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_192_TOP],
+ buf[BN_NIST_192_TOP], c_d[BN_NIST_192_TOP], *res;
+ size_t mask;
+ static const BIGNUM _bignum_nist_p_192_sqr = {
+ (BN_ULONG *)_nist_p_192_sqr,
+ sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]),
+ sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_192; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_192_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP,
+ BN_NIST_192_TOP);
+
+ nist_set_192(t_d, buf, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1],
+ BN_NIST_192_TOP);
+ else
+ carry = 1;
+
+ /*
+ * we need 'if (carry==0 || result>=modulus) result-=modulus;'
+ * as comparison implies subtraction, we can write
+ * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
+ * this is what happens below, but without explicit if:-) a.
+ */
+ mask =
+ 0 - (size_t)bn_sub_words(c_d, r_d, _nist_p_192[0], BN_NIST_192_TOP);
+ mask &= 0 - (size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d & ~mask) | ((size_t)r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
+ r->top = BN_NIST_192_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+typedef BN_ULONG (*bn_addsub_f) (BN_ULONG *, const BN_ULONG *,
+ const BN_ULONG *, int);
#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
- { \
- bn_cp_32(to, 0, from, (a7) - 7) \
- bn_cp_32(to, 1, from, (a6) - 7) \
- bn_cp_32(to, 2, from, (a5) - 7) \
- bn_cp_32(to, 3, from, (a4) - 7) \
- bn_cp_32(to, 4, from, (a3) - 7) \
- bn_cp_32(to, 5, from, (a2) - 7) \
- bn_cp_32(to, 6, from, (a1) - 7) \
- }
+ { \
+ bn_cp_32(to, 0, from, (a7) - 7) \
+ bn_cp_32(to, 1, from, (a6) - 7) \
+ bn_cp_32(to, 2, from, (a5) - 7) \
+ bn_cp_32(to, 3, from, (a4) - 7) \
+ bn_cp_32(to, 4, from, (a3) - 7) \
+ bn_cp_32(to, 5, from, (a2) - 7) \
+ bn_cp_32(to, 6, from, (a1) - 7) \
+ }
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int top = a->top, i;
- int carry;
- BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_224_TOP],
- buf[BN_NIST_224_TOP],
- c_d[BN_NIST_224_TOP],
- *res;
- size_t mask;
- union { bn_addsub_f f; size_t p; } u;
- static const BIGNUM _bignum_nist_p_224_sqr = {
- (BN_ULONG *)_nist_p_224_sqr,
- sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
- sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
- 0,BN_FLG_STATIC_DATA };
-
-
- field = &_bignum_nist_p_224; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_224_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
- }
- else
- r_d = a_d;
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_224_TOP],
+ buf[BN_NIST_224_TOP], c_d[BN_NIST_224_TOP], *res;
+ size_t mask;
+ union {
+ bn_addsub_f f;
+ size_t p;
+ } u;
+ static const BIGNUM _bignum_nist_p_224_sqr = {
+ (BN_ULONG *)_nist_p_224_sqr,
+ sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]),
+ sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_224; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_224_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
+ } else
+ r_d = a_d;
#if BN_BITS2==64
- /* copy upper 256 bits of 448 bit number ... */
- nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
- /* ... and right shift by 32 to obtain upper 224 bits */
- nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
- /* truncate lower part to 224 bits too */
- r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP - 1),
+ top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP);
+ /* ... and right shift by 32 to obtain upper 224 bits */
+ nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
+ /* truncate lower part to 224 bits too */
+ r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l;
#else
- nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
+ nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP,
+ BN_NIST_224_TOP);
#endif
- nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
- carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
#if BN_BITS2==64
- carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
+ carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32);
#endif
- u.f = bn_sub_words;
- if (carry > 0)
- {
- carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
+ u.f = bn_sub_words;
+ if (carry > 0) {
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1],
+ BN_NIST_224_TOP);
#if BN_BITS2==64
- carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
+ carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1;
#endif
- }
- else if (carry < 0)
- {
- /* it's a bit more comlicated logic in this case.
- * if bn_add_words yields no carry, then result
- * has to be adjusted by unconditionally *adding*
- * the modulus. but if it does, then result has
- * to be compared to the modulus and conditionally
- * adjusted by *subtracting* the latter. */
- carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
- mask = 0-(size_t)carry;
- u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- /* otherwise it's effectively same as in BN_nist_mod_192... */
- mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
- mask &= 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
- nist_cp_bn(r_d, res, BN_NIST_224_TOP);
- r->top = BN_NIST_224_TOP;
- bn_correct_top(r);
-
- return 1;
- }
+ } else if (carry < 0) {
+ /*
+ * it's a bit more comlicated logic in this case. if bn_add_words
+ * yields no carry, then result has to be adjusted by unconditionally
+ * *adding* the modulus. but if it does, then result has to be
+ * compared to the modulus and conditionally adjusted by
+ * *subtracting* the latter.
+ */
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1],
+ BN_NIST_224_TOP);
+ mask = 0 - (size_t)carry;
+ u.p = ((size_t)bn_sub_words & mask) | ((size_t)bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask = 0 - (size_t)(*u.f) (c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP);
+ mask &= 0 - (size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d & ~mask) | ((size_t)r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
- { \
- bn_cp_32(to, 0, from, (a8) - 8) \
- bn_cp_32(to, 1, from, (a7) - 8) \
- bn_cp_32(to, 2, from, (a6) - 8) \
- bn_cp_32(to, 3, from, (a5) - 8) \
- bn_cp_32(to, 4, from, (a4) - 8) \
- bn_cp_32(to, 5, from, (a3) - 8) \
- bn_cp_32(to, 6, from, (a2) - 8) \
- bn_cp_32(to, 7, from, (a1) - 8) \
- }
+ { \
+ bn_cp_32(to, 0, from, (a8) - 8) \
+ bn_cp_32(to, 1, from, (a7) - 8) \
+ bn_cp_32(to, 2, from, (a6) - 8) \
+ bn_cp_32(to, 3, from, (a5) - 8) \
+ bn_cp_32(to, 4, from, (a4) - 8) \
+ bn_cp_32(to, 5, from, (a3) - 8) \
+ bn_cp_32(to, 6, from, (a2) - 8) \
+ bn_cp_32(to, 7, from, (a1) - 8) \
+ }
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int i, top = a->top;
- int carry = 0;
- register BN_ULONG *a_d = a->d, *r_d;
- BN_ULONG t_d[BN_NIST_256_TOP],
- buf[BN_NIST_256_TOP],
- c_d[BN_NIST_256_TOP],
- *res;
- size_t mask;
- union { bn_addsub_f f; size_t p; } u;
- static const BIGNUM _bignum_nist_p_256_sqr = {
- (BN_ULONG *)_nist_p_256_sqr,
- sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
- sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
- 0,BN_FLG_STATIC_DATA };
-
- field = &_bignum_nist_p_256; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_256_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
-
- /*S1*/
- nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
- /*S2*/
- nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
- carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
- /* left shift */
- {
- register BN_ULONG *ap,t,c;
- ap = t_d;
- c=0;
- for (i = BN_NIST_256_TOP; i != 0; --i)
- {
- t= *ap;
- *(ap++)=((t<<1)|c)&BN_MASK2;
- c=(t & BN_TBIT)?1:0;
- }
- carry <<= 1;
- carry |= c;
- }
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*S3*/
- nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*S4*/
- nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D1*/
- nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D2*/
- nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D3*/
- nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
- /*D4*/
- nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
-
- /* see BN_nist_mod_224 for explanation */
- u.f = bn_sub_words;
- if (carry > 0)
- carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
- else if (carry < 0)
- {
- carry = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
- mask = 0-(size_t)carry;
- u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
- mask &= 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
- nist_cp_bn(r_d, res, BN_NIST_256_TOP);
- r->top = BN_NIST_256_TOP;
- bn_correct_top(r);
-
- return 1;
- }
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *a_d = a->d, *r_d;
+ BN_ULONG t_d[BN_NIST_256_TOP],
+ buf[BN_NIST_256_TOP], c_d[BN_NIST_256_TOP], *res;
+ size_t mask;
+ union {
+ bn_addsub_f f;
+ size_t p;
+ } u;
+ static const BIGNUM _bignum_nist_p_256_sqr = {
+ (BN_ULONG *)_nist_p_256_sqr,
+ sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]),
+ sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_256; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_256_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP,
+ BN_NIST_256_TOP);
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
+ /*
+ * S2
+ */
+ nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
+ /* left shift */
+ {
+ register BN_ULONG *ap, t, c;
+ ap = t_d;
+ c = 0;
+ for (i = BN_NIST_256_TOP; i != 0; --i) {
+ t = *ap;
+ *(ap++) = ((t << 1) | c) & BN_MASK2;
+ c = (t & BN_TBIT) ? 1 : 0;
+ }
+ carry <<= 1;
+ carry |= c;
+ }
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * S3
+ */
+ nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * S4
+ */
+ nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D1
+ */
+ nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D2
+ */
+ nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D3
+ */
+ nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D4
+ */
+ nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1],
+ BN_NIST_256_TOP);
+ else if (carry < 0) {
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1],
+ BN_NIST_256_TOP);
+ mask = 0 - (size_t)carry;
+ u.p = ((size_t)bn_sub_words & mask) | ((size_t)bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask = 0 - (size_t)(*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP);
+ mask &= 0 - (size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d & ~mask) | ((size_t)r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
+ r->top = BN_NIST_256_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
- { \
- bn_cp_32(to, 0, from, (a12) - 12) \
- bn_cp_32(to, 1, from, (a11) - 12) \
- bn_cp_32(to, 2, from, (a10) - 12) \
- bn_cp_32(to, 3, from, (a9) - 12) \
- bn_cp_32(to, 4, from, (a8) - 12) \
- bn_cp_32(to, 5, from, (a7) - 12) \
- bn_cp_32(to, 6, from, (a6) - 12) \
- bn_cp_32(to, 7, from, (a5) - 12) \
- bn_cp_32(to, 8, from, (a4) - 12) \
- bn_cp_32(to, 9, from, (a3) - 12) \
- bn_cp_32(to, 10, from, (a2) - 12) \
- bn_cp_32(to, 11, from, (a1) - 12) \
- }
+ { \
+ bn_cp_32(to, 0, from, (a12) - 12) \
+ bn_cp_32(to, 1, from, (a11) - 12) \
+ bn_cp_32(to, 2, from, (a10) - 12) \
+ bn_cp_32(to, 3, from, (a9) - 12) \
+ bn_cp_32(to, 4, from, (a8) - 12) \
+ bn_cp_32(to, 5, from, (a7) - 12) \
+ bn_cp_32(to, 6, from, (a6) - 12) \
+ bn_cp_32(to, 7, from, (a5) - 12) \
+ bn_cp_32(to, 8, from, (a4) - 12) \
+ bn_cp_32(to, 9, from, (a3) - 12) \
+ bn_cp_32(to, 10, from, (a2) - 12) \
+ bn_cp_32(to, 11, from, (a1) - 12) \
+ }
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int i, top = a->top;
- int carry = 0;
- register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_384_TOP],
- buf[BN_NIST_384_TOP],
- c_d[BN_NIST_384_TOP],
- *res;
- size_t mask;
- union { bn_addsub_f f; size_t p; } u;
- static const BIGNUM _bignum_nist_p_384_sqr = {
- (BN_ULONG *)_nist_p_384_sqr,
- sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
- sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
- 0,BN_FLG_STATIC_DATA };
-
-
- field = &_bignum_nist_p_384; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_384_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
-
- /*S1*/
- nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
- /* left shift */
- {
- register BN_ULONG *ap,t,c;
- ap = t_d;
- c=0;
- for (i = 3; i != 0; --i)
- {
- t= *ap;
- *(ap++)=((t<<1)|c)&BN_MASK2;
- c=(t & BN_TBIT)?1:0;
- }
- *ap=c;
- }
- carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
- t_d, BN_NIST_256_TOP);
- /*S2 */
- carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
- /*S3*/
- nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S4*/
- nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S5*/
- nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*S6*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D1*/
- nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D2*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
- /*D3*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
-
- /* see BN_nist_mod_224 for explanation */
- u.f = bn_sub_words;
- if (carry > 0)
- carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
- else if (carry < 0)
- {
- carry = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
- mask = 0-(size_t)carry;
- u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
- mask &= 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
- nist_cp_bn(r_d, res, BN_NIST_384_TOP);
- r->top = BN_NIST_384_TOP;
- bn_correct_top(r);
-
- return 1;
- }
-
-#define BN_NIST_521_RSHIFT (521%BN_BITS2)
-#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
-#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_384_TOP],
+ buf[BN_NIST_384_TOP], c_d[BN_NIST_384_TOP], *res;
+ size_t mask;
+ union {
+ bn_addsub_f f;
+ size_t p;
+ } u;
+ static const BIGNUM _bignum_nist_p_384_sqr = {
+ (BN_ULONG *)_nist_p_384_sqr,
+ sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]),
+ sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_384; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_384_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP,
+ BN_NIST_384_TOP);
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4);
+ /* left shift */
+ {
+ register BN_ULONG *ap, t, c;
+ ap = t_d;
+ c = 0;
+ for (i = 3; i != 0; --i) {
+ t = *ap;
+ *(ap++) = ((t << 1) | c) & BN_MASK2;
+ c = (t & BN_TBIT) ? 1 : 0;
+ }
+ *ap = c;
+ }
+ carry = (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2),
+ t_d, BN_NIST_256_TOP);
+ /*
+ * S2
+ */
+ carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
+ /*
+ * S3
+ */
+ nist_set_384(t_d, buf, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 21);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S4
+ */
+ nist_set_384(t_d, buf, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S5
+ */
+ nist_set_384(t_d, buf, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S6
+ */
+ nist_set_384(t_d, buf, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D1
+ */
+ nist_set_384(t_d, buf, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D2
+ */
+ nist_set_384(t_d, buf, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D3
+ */
+ nist_set_384(t_d, buf, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1],
+ BN_NIST_384_TOP);
+ else if (carry < 0) {
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1],
+ BN_NIST_384_TOP);
+ mask = 0 - (size_t)carry;
+ u.p = ((size_t)bn_sub_words & mask) | ((size_t)bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask = 0 - (size_t)(*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP);
+ mask &= 0 - (size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d & ~mask) | ((size_t)r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
+ r->top = BN_NIST_384_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+#define BN_NIST_521_RSHIFT (521%BN_BITS2)
+#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
+#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int top = a->top, i;
- BN_ULONG *r_d, *a_d = a->d,
- t_d[BN_NIST_521_TOP],
- val,tmp,*res;
- size_t mask;
- static const BIGNUM _bignum_nist_p_521_sqr = {
- (BN_ULONG *)_nist_p_521_sqr,
- sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
- sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
- 0,BN_FLG_STATIC_DATA };
-
- field = &_bignum_nist_p_521; /* just to make sure */
-
- if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
- return BN_nnmod(r, a, field, ctx);
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (r != a)
- {
- if (!bn_wexpand(r,BN_NIST_521_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
- }
- else
- r_d = a_d;
-
- /* upper 521 bits, copy ... */
- nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
- /* ... and right shift */
- for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
- {
- tmp = val>>BN_NIST_521_RSHIFT;
- val = t_d[i+1];
- t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
- }
- t_d[i] = val>>BN_NIST_521_RSHIFT;
- /* lower 521 bits */
- r_d[i] &= BN_NIST_521_TOP_MASK;
-
- bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP);
- mask = 0-(size_t)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
- res = (BN_ULONG *)(((size_t)t_d&~mask) | ((size_t)r_d&mask));
- nist_cp_bn(r_d,res,BN_NIST_521_TOP);
- r->top = BN_NIST_521_TOP;
- bn_correct_top(r);
-
- return 1;
- }
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res;
+ size_t mask;
+ static const BIGNUM _bignum_nist_p_521_sqr = {
+ (BN_ULONG *)_nist_p_521_sqr,
+ sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]),
+ sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_521; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_521_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_521_TOP);
+ } else
+ r_d = a_d;
+
+ /* upper 521 bits, copy ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1),
+ top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP);
+ /* ... and right shift */
+ for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) {
+ tmp = val >> BN_NIST_521_RSHIFT;
+ val = t_d[i + 1];
+ t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2;
+ }
+ t_d[i] = val >> BN_NIST_521_RSHIFT;
+ /* lower 521 bits */
+ r_d[i] &= BN_NIST_521_TOP_MASK;
+
+ bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP);
+ mask = 0 - (size_t)bn_sub_words(t_d, r_d, _nist_p_521, BN_NIST_521_TOP);
+ res = (BN_ULONG *)(((size_t)t_d & ~mask) | ((size_t)r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_521_TOP);
+ r->top = BN_NIST_521_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_opt.c b/Cryptlib/OpenSSL/crypto/bn/bn_opt.c
index 21cbb38f..efdebdd6 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_opt.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_opt.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -57,7 +57,7 @@
*/
#ifndef BN_DEBUG
-# undef NDEBUG /* avoid conflicting definitions */
+# undef NDEBUG /* avoid conflicting definitions */
# define NDEBUG
#endif
@@ -68,20 +68,19 @@
#include "bn_lcl.h"
char *BN_options(void)
- {
- static int init=0;
- static char data[16];
+{
+ static int init = 0;
+ static char data[16];
- if (!init)
- {
- init++;
+ if (!init) {
+ init++;
#ifdef BN_LLONG
- BIO_snprintf(data,sizeof data,"bn(%d,%d)",
- (int)sizeof(BN_ULLONG)*8,(int)sizeof(BN_ULONG)*8);
+ BIO_snprintf(data, sizeof data, "bn(%d,%d)",
+ (int)sizeof(BN_ULLONG) * 8, (int)sizeof(BN_ULONG) * 8);
#else
- BIO_snprintf(data,sizeof data,"bn(%d,%d)",
- (int)sizeof(BN_ULONG)*8,(int)sizeof(BN_ULONG)*8);
+ BIO_snprintf(data, sizeof data, "bn(%d,%d)",
+ (int)sizeof(BN_ULONG) * 8, (int)sizeof(BN_ULONG) * 8);
#endif
- }
- return(data);
- }
+ }
+ return (data);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_prime.c b/Cryptlib/OpenSSL/crypto/bn/bn_prime.c
index 7b25979d..1d256874 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_prime.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_prime.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -115,380 +115,401 @@
#include "bn_lcl.h"
#include <openssl/rand.h>
-/* NB: these functions have been "upgraded", the deprecated versions (which are
- * compatibility wrappers using these functions) are in bn_depr.c.
- * - Geoff
+/*
+ * NB: these functions have been "upgraded", the deprecated versions (which
+ * are compatibility wrappers using these functions) are in bn_depr.c. -
+ * Geoff
*/
-/* The quick sieve algorithm approach to weeding out primes is
- * Philip Zimmermann's, as implemented in PGP. I have had a read of
- * his comments and implemented my own version.
+/*
+ * The quick sieve algorithm approach to weeding out primes is Philip
+ * Zimmermann's, as implemented in PGP. I have had a read of his comments
+ * and implemented my own version.
*/
#include "bn_prime.h"
static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
- const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont);
+ const BIGNUM *a1_odd, int k, BN_CTX *ctx,
+ BN_MONT_CTX *mont);
static int probable_prime(BIGNUM *rnd, int bits);
static int probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
-static int probable_prime_dh_safe(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
+ const BIGNUM *add, const BIGNUM *rem,
+ BN_CTX *ctx);
+static int probable_prime_dh_safe(BIGNUM *rnd, int bits, const BIGNUM *add,
+ const BIGNUM *rem, BN_CTX *ctx);
int BN_GENCB_call(BN_GENCB *cb, int a, int b)
- {
- /* No callback means continue */
- if(!cb) return 1;
- switch(cb->ver)
- {
- case 1:
- /* Deprecated-style callbacks */
- if(!cb->cb.cb_1)
- return 1;
- cb->cb.cb_1(a, b, cb->arg);
- return 1;
- case 2:
- /* New-style callbacks */
- return cb->cb.cb_2(a, b, cb);
- default:
- break;
- }
- /* Unrecognised callback type */
- return 0;
- }
+{
+ /* No callback means continue */
+ if (!cb)
+ return 1;
+ switch (cb->ver) {
+ case 1:
+ /* Deprecated-style callbacks */
+ if (!cb->cb.cb_1)
+ return 1;
+ cb->cb.cb_1(a, b, cb->arg);
+ return 1;
+ case 2:
+ /* New-style callbacks */
+ return cb->cb.cb_2(a, b, cb);
+ default:
+ break;
+ }
+ /* Unrecognised callback type */
+ return 0;
+}
int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe,
- const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb)
- {
- BIGNUM *t;
- int found=0;
- int i,j,c1=0;
- BN_CTX *ctx;
- int checks = BN_prime_checks_for_size(bits);
-
- ctx=BN_CTX_new();
- if (ctx == NULL) goto err;
- BN_CTX_start(ctx);
- t = BN_CTX_get(ctx);
- if(!t) goto err;
-loop:
- /* make a random number and set the top and bottom bits */
- if (add == NULL)
- {
- if (!probable_prime(ret,bits)) goto err;
- }
- else
- {
- if (safe)
- {
- if (!probable_prime_dh_safe(ret,bits,add,rem,ctx))
- goto err;
- }
- else
- {
- if (!probable_prime_dh(ret,bits,add,rem,ctx))
- goto err;
- }
- }
- /* if (BN_mod_word(ret,(BN_ULONG)3) == 1) goto loop; */
- if(!BN_GENCB_call(cb, 0, c1++))
- /* aborted */
- goto err;
-
- if (!safe)
- {
- i=BN_is_prime_fasttest_ex(ret,checks,ctx,0,cb);
- if (i == -1) goto err;
- if (i == 0) goto loop;
- }
- else
- {
- /* for "safe prime" generation,
- * check that (p-1)/2 is prime.
- * Since a prime is odd, We just
- * need to divide by 2 */
- if (!BN_rshift1(t,ret)) goto err;
-
- for (i=0; i<checks; i++)
- {
- j=BN_is_prime_fasttest_ex(ret,1,ctx,0,cb);
- if (j == -1) goto err;
- if (j == 0) goto loop;
-
- j=BN_is_prime_fasttest_ex(t,1,ctx,0,cb);
- if (j == -1) goto err;
- if (j == 0) goto loop;
-
- if(!BN_GENCB_call(cb, 2, c1-1))
- goto err;
- /* We have a safe prime test pass */
- }
- }
- /* we have a prime :-) */
- found = 1;
-err:
- if (ctx != NULL)
- {
- BN_CTX_end(ctx);
- BN_CTX_free(ctx);
- }
- bn_check_top(ret);
- return found;
- }
-
-int BN_is_prime_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed, BN_GENCB *cb)
- {
- return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb);
- }
+ const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb)
+{
+ BIGNUM *t;
+ int found = 0;
+ int i, j, c1 = 0;
+ BN_CTX *ctx;
+ int checks = BN_prime_checks_for_size(bits);
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ goto err;
+ BN_CTX_start(ctx);
+ t = BN_CTX_get(ctx);
+ if (!t)
+ goto err;
+ loop:
+ /* make a random number and set the top and bottom bits */
+ if (add == NULL) {
+ if (!probable_prime(ret, bits))
+ goto err;
+ } else {
+ if (safe) {
+ if (!probable_prime_dh_safe(ret, bits, add, rem, ctx))
+ goto err;
+ } else {
+ if (!probable_prime_dh(ret, bits, add, rem, ctx))
+ goto err;
+ }
+ }
+ /* if (BN_mod_word(ret,(BN_ULONG)3) == 1) goto loop; */
+ if (!BN_GENCB_call(cb, 0, c1++))
+ /* aborted */
+ goto err;
+
+ if (!safe) {
+ i = BN_is_prime_fasttest_ex(ret, checks, ctx, 0, cb);
+ if (i == -1)
+ goto err;
+ if (i == 0)
+ goto loop;
+ } else {
+ /*
+ * for "safe prime" generation, check that (p-1)/2 is prime. Since a
+ * prime is odd, We just need to divide by 2
+ */
+ if (!BN_rshift1(t, ret))
+ goto err;
+
+ for (i = 0; i < checks; i++) {
+ j = BN_is_prime_fasttest_ex(ret, 1, ctx, 0, cb);
+ if (j == -1)
+ goto err;
+ if (j == 0)
+ goto loop;
+
+ j = BN_is_prime_fasttest_ex(t, 1, ctx, 0, cb);
+ if (j == -1)
+ goto err;
+ if (j == 0)
+ goto loop;
+
+ if (!BN_GENCB_call(cb, 2, c1 - 1))
+ goto err;
+ /* We have a safe prime test pass */
+ }
+ }
+ /* we have a prime :-) */
+ found = 1;
+ err:
+ if (ctx != NULL) {
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+ }
+ bn_check_top(ret);
+ return found;
+}
+
+int BN_is_prime_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
+ BN_GENCB *cb)
+{
+ return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb);
+}
int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
- int do_trial_division, BN_GENCB *cb)
- {
- int i, j, ret = -1;
- int k;
- BN_CTX *ctx = NULL;
- BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
- BN_MONT_CTX *mont = NULL;
- const BIGNUM *A = NULL;
-
- if (BN_cmp(a, BN_value_one()) <= 0)
- return 0;
-
- if (checks == BN_prime_checks)
- checks = BN_prime_checks_for_size(BN_num_bits(a));
-
- /* first look for small factors */
- if (!BN_is_odd(a))
- /* a is even => a is prime if and only if a == 2 */
- return BN_is_word(a, 2);
- if (do_trial_division)
- {
- for (i = 1; i < NUMPRIMES; i++)
- if (BN_mod_word(a, primes[i]) == 0)
- return 0;
- if(!BN_GENCB_call(cb, 1, -1))
- goto err;
- }
-
- if (ctx_passed != NULL)
- ctx = ctx_passed;
- else
- if ((ctx=BN_CTX_new()) == NULL)
- goto err;
- BN_CTX_start(ctx);
-
- /* A := abs(a) */
- if (a->neg)
- {
- BIGNUM *t;
- if ((t = BN_CTX_get(ctx)) == NULL) goto err;
- BN_copy(t, a);
- t->neg = 0;
- A = t;
- }
- else
- A = a;
- A1 = BN_CTX_get(ctx);
- A1_odd = BN_CTX_get(ctx);
- check = BN_CTX_get(ctx);
- if (check == NULL) goto err;
-
- /* compute A1 := A - 1 */
- if (!BN_copy(A1, A))
- goto err;
- if (!BN_sub_word(A1, 1))
- goto err;
- if (BN_is_zero(A1))
- {
- ret = 0;
- goto err;
- }
-
- /* write A1 as A1_odd * 2^k */
- k = 1;
- while (!BN_is_bit_set(A1, k))
- k++;
- if (!BN_rshift(A1_odd, A1, k))
- goto err;
-
- /* Montgomery setup for computations mod A */
- mont = BN_MONT_CTX_new();
- if (mont == NULL)
- goto err;
- if (!BN_MONT_CTX_set(mont, A, ctx))
- goto err;
-
- for (i = 0; i < checks; i++)
- {
- if (!BN_pseudo_rand_range(check, A1))
- goto err;
- if (!BN_add_word(check, 1))
- goto err;
- /* now 1 <= check < A */
-
- j = witness(check, A, A1, A1_odd, k, ctx, mont);
- if (j == -1) goto err;
- if (j)
- {
- ret=0;
- goto err;
- }
- if(!BN_GENCB_call(cb, 1, i))
- goto err;
- }
- ret=1;
-err:
- if (ctx != NULL)
- {
- BN_CTX_end(ctx);
- if (ctx_passed == NULL)
- BN_CTX_free(ctx);
- }
- if (mont != NULL)
- BN_MONT_CTX_free(mont);
-
- return(ret);
- }
+ int do_trial_division, BN_GENCB *cb)
+{
+ int i, j, ret = -1;
+ int k;
+ BN_CTX *ctx = NULL;
+ BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
+ BN_MONT_CTX *mont = NULL;
+ const BIGNUM *A = NULL;
+
+ if (BN_cmp(a, BN_value_one()) <= 0)
+ return 0;
+
+ if (checks == BN_prime_checks)
+ checks = BN_prime_checks_for_size(BN_num_bits(a));
+
+ /* first look for small factors */
+ if (!BN_is_odd(a))
+ /* a is even => a is prime if and only if a == 2 */
+ return BN_is_word(a, 2);
+ if (do_trial_division) {
+ for (i = 1; i < NUMPRIMES; i++)
+ if (BN_mod_word(a, primes[i]) == 0)
+ return 0;
+ if (!BN_GENCB_call(cb, 1, -1))
+ goto err;
+ }
+
+ if (ctx_passed != NULL)
+ ctx = ctx_passed;
+ else if ((ctx = BN_CTX_new()) == NULL)
+ goto err;
+ BN_CTX_start(ctx);
+
+ /* A := abs(a) */
+ if (a->neg) {
+ BIGNUM *t;
+ if ((t = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ BN_copy(t, a);
+ t->neg = 0;
+ A = t;
+ } else
+ A = a;
+ A1 = BN_CTX_get(ctx);
+ A1_odd = BN_CTX_get(ctx);
+ check = BN_CTX_get(ctx);
+ if (check == NULL)
+ goto err;
+
+ /* compute A1 := A - 1 */
+ if (!BN_copy(A1, A))
+ goto err;
+ if (!BN_sub_word(A1, 1))
+ goto err;
+ if (BN_is_zero(A1)) {
+ ret = 0;
+ goto err;
+ }
+
+ /* write A1 as A1_odd * 2^k */
+ k = 1;
+ while (!BN_is_bit_set(A1, k))
+ k++;
+ if (!BN_rshift(A1_odd, A1, k))
+ goto err;
+
+ /* Montgomery setup for computations mod A */
+ mont = BN_MONT_CTX_new();
+ if (mont == NULL)
+ goto err;
+ if (!BN_MONT_CTX_set(mont, A, ctx))
+ goto err;
+
+ for (i = 0; i < checks; i++) {
+ if (!BN_pseudo_rand_range(check, A1))
+ goto err;
+ if (!BN_add_word(check, 1))
+ goto err;
+ /* now 1 <= check < A */
+
+ j = witness(check, A, A1, A1_odd, k, ctx, mont);
+ if (j == -1)
+ goto err;
+ if (j) {
+ ret = 0;
+ goto err;
+ }
+ if (!BN_GENCB_call(cb, 1, i))
+ goto err;
+ }
+ ret = 1;
+ err:
+ if (ctx != NULL) {
+ BN_CTX_end(ctx);
+ if (ctx_passed == NULL)
+ BN_CTX_free(ctx);
+ }
+ if (mont != NULL)
+ BN_MONT_CTX_free(mont);
+
+ return (ret);
+}
static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
- const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont)
- {
- if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */
- return -1;
- if (BN_is_one(w))
- return 0; /* probably prime */
- if (BN_cmp(w, a1) == 0)
- return 0; /* w == -1 (mod a), 'a' is probably prime */
- while (--k)
- {
- if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */
- return -1;
- if (BN_is_one(w))
- return 1; /* 'a' is composite, otherwise a previous 'w' would
- * have been == -1 (mod 'a') */
- if (BN_cmp(w, a1) == 0)
- return 0; /* w == -1 (mod a), 'a' is probably prime */
- }
- /* If we get here, 'w' is the (a-1)/2-th power of the original 'w',
- * and it is neither -1 nor +1 -- so 'a' cannot be prime */
- bn_check_top(w);
- return 1;
- }
+ const BIGNUM *a1_odd, int k, BN_CTX *ctx,
+ BN_MONT_CTX *mont)
+{
+ if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */
+ return -1;
+ if (BN_is_one(w))
+ return 0; /* probably prime */
+ if (BN_cmp(w, a1) == 0)
+ return 0; /* w == -1 (mod a), 'a' is probably prime */
+ while (--k) {
+ if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */
+ return -1;
+ if (BN_is_one(w))
+ return 1; /* 'a' is composite, otherwise a previous 'w'
+ * would have been == -1 (mod 'a') */
+ if (BN_cmp(w, a1) == 0)
+ return 0; /* w == -1 (mod a), 'a' is probably prime */
+ }
+ /*
+ * If we get here, 'w' is the (a-1)/2-th power of the original 'w', and
+ * it is neither -1 nor +1 -- so 'a' cannot be prime
+ */
+ bn_check_top(w);
+ return 1;
+}
static int probable_prime(BIGNUM *rnd, int bits)
- {
- int i;
- prime_t mods[NUMPRIMES];
- BN_ULONG delta,maxdelta;
-
-again:
- if (!BN_rand(rnd,bits,1,1)) return(0);
- /* we now have a random number 'rand' to test. */
- for (i=1; i<NUMPRIMES; i++)
- mods[i]=(prime_t)BN_mod_word(rnd,(BN_ULONG)primes[i]);
- maxdelta=BN_MASK2 - primes[NUMPRIMES-1];
- delta=0;
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that rnd is not a prime and also
- * that gcd(rnd-1,primes) == 1 (except for 2) */
- if (((mods[i]+delta)%primes[i]) <= 1)
- {
- delta+=2;
- if (delta > maxdelta) goto again;
- goto loop;
- }
- }
- if (!BN_add_word(rnd,delta)) return(0);
- bn_check_top(rnd);
- return(1);
- }
+{
+ int i;
+ prime_t mods[NUMPRIMES];
+ BN_ULONG delta, maxdelta;
+
+ again:
+ if (!BN_rand(rnd, bits, 1, 1))
+ return (0);
+ /* we now have a random number 'rand' to test. */
+ for (i = 1; i < NUMPRIMES; i++)
+ mods[i] = (prime_t) BN_mod_word(rnd, (BN_ULONG)primes[i]);
+ maxdelta = BN_MASK2 - primes[NUMPRIMES - 1];
+ delta = 0;
+ loop:for (i = 1; i < NUMPRIMES; i++) {
+ /*
+ * check that rnd is not a prime and also that gcd(rnd-1,primes) == 1
+ * (except for 2)
+ */
+ if (((mods[i] + delta) % primes[i]) <= 1) {
+ delta += 2;
+ if (delta > maxdelta)
+ goto again;
+ goto loop;
+ }
+ }
+ if (!BN_add_word(rnd, delta))
+ return (0);
+ bn_check_top(rnd);
+ return (1);
+}
static int probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx)
- {
- int i,ret=0;
- BIGNUM *t1;
-
- BN_CTX_start(ctx);
- if ((t1 = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_rand(rnd,bits,0,1)) goto err;
-
- /* we need ((rnd-rem) % add) == 0 */
-
- if (!BN_mod(t1,rnd,add,ctx)) goto err;
- if (!BN_sub(rnd,rnd,t1)) goto err;
- if (rem == NULL)
- { if (!BN_add_word(rnd,1)) goto err; }
- else
- { if (!BN_add(rnd,rnd,rem)) goto err; }
-
- /* we now have a random number 'rand' to test. */
-
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that rnd is a prime */
- if (BN_mod_word(rnd,(BN_ULONG)primes[i]) <= 1)
- {
- if (!BN_add(rnd,rnd,add)) goto err;
- goto loop;
- }
- }
- ret=1;
-err:
- BN_CTX_end(ctx);
- bn_check_top(rnd);
- return(ret);
- }
+ const BIGNUM *add, const BIGNUM *rem,
+ BN_CTX *ctx)
+{
+ int i, ret = 0;
+ BIGNUM *t1;
+
+ BN_CTX_start(ctx);
+ if ((t1 = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ if (!BN_rand(rnd, bits, 0, 1))
+ goto err;
+
+ /* we need ((rnd-rem) % add) == 0 */
+
+ if (!BN_mod(t1, rnd, add, ctx))
+ goto err;
+ if (!BN_sub(rnd, rnd, t1))
+ goto err;
+ if (rem == NULL) {
+ if (!BN_add_word(rnd, 1))
+ goto err;
+ } else {
+ if (!BN_add(rnd, rnd, rem))
+ goto err;
+ }
+
+ /* we now have a random number 'rand' to test. */
+
+ loop:for (i = 1; i < NUMPRIMES; i++) {
+ /* check that rnd is a prime */
+ if (BN_mod_word(rnd, (BN_ULONG)primes[i]) <= 1) {
+ if (!BN_add(rnd, rnd, add))
+ goto err;
+ goto loop;
+ }
+ }
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ bn_check_top(rnd);
+ return (ret);
+}
static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd,
- const BIGNUM *rem, BN_CTX *ctx)
- {
- int i,ret=0;
- BIGNUM *t1,*qadd,*q;
-
- bits--;
- BN_CTX_start(ctx);
- t1 = BN_CTX_get(ctx);
- q = BN_CTX_get(ctx);
- qadd = BN_CTX_get(ctx);
- if (qadd == NULL) goto err;
-
- if (!BN_rshift1(qadd,padd)) goto err;
-
- if (!BN_rand(q,bits,0,1)) goto err;
-
- /* we need ((rnd-rem) % add) == 0 */
- if (!BN_mod(t1,q,qadd,ctx)) goto err;
- if (!BN_sub(q,q,t1)) goto err;
- if (rem == NULL)
- { if (!BN_add_word(q,1)) goto err; }
- else
- {
- if (!BN_rshift1(t1,rem)) goto err;
- if (!BN_add(q,q,t1)) goto err;
- }
-
- /* we now have a random number 'rand' to test. */
- if (!BN_lshift1(p,q)) goto err;
- if (!BN_add_word(p,1)) goto err;
-
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that p and q are prime */
- /* check that for p and q
- * gcd(p-1,primes) == 1 (except for 2) */
- if ( (BN_mod_word(p,(BN_ULONG)primes[i]) == 0) ||
- (BN_mod_word(q,(BN_ULONG)primes[i]) == 0))
- {
- if (!BN_add(p,p,padd)) goto err;
- if (!BN_add(q,q,qadd)) goto err;
- goto loop;
- }
- }
- ret=1;
-err:
- BN_CTX_end(ctx);
- bn_check_top(p);
- return(ret);
- }
+ const BIGNUM *rem, BN_CTX *ctx)
+{
+ int i, ret = 0;
+ BIGNUM *t1, *qadd, *q;
+
+ bits--;
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ q = BN_CTX_get(ctx);
+ qadd = BN_CTX_get(ctx);
+ if (qadd == NULL)
+ goto err;
+
+ if (!BN_rshift1(qadd, padd))
+ goto err;
+
+ if (!BN_rand(q, bits, 0, 1))
+ goto err;
+
+ /* we need ((rnd-rem) % add) == 0 */
+ if (!BN_mod(t1, q, qadd, ctx))
+ goto err;
+ if (!BN_sub(q, q, t1))
+ goto err;
+ if (rem == NULL) {
+ if (!BN_add_word(q, 1))
+ goto err;
+ } else {
+ if (!BN_rshift1(t1, rem))
+ goto err;
+ if (!BN_add(q, q, t1))
+ goto err;
+ }
+
+ /* we now have a random number 'rand' to test. */
+ if (!BN_lshift1(p, q))
+ goto err;
+ if (!BN_add_word(p, 1))
+ goto err;
+
+ loop:for (i = 1; i < NUMPRIMES; i++) {
+ /* check that p and q are prime */
+ /*
+ * check that for p and q gcd(p-1,primes) == 1 (except for 2)
+ */
+ if ((BN_mod_word(p, (BN_ULONG)primes[i]) == 0) ||
+ (BN_mod_word(q, (BN_ULONG)primes[i]) == 0)) {
+ if (!BN_add(p, p, padd))
+ goto err;
+ if (!BN_add(q, q, qadd))
+ goto err;
+ goto loop;
+ }
+ }
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ bn_check_top(p);
+ return (ret);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_print.c b/Cryptlib/OpenSSL/crypto/bn/bn_print.c
index 810dde34..15bc51af 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_print.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_print.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -62,277 +62,286 @@
#include <openssl/buffer.h>
#include "bn_lcl.h"
-static const char Hex[]="0123456789ABCDEF";
+static const char Hex[] = "0123456789ABCDEF";
/* Must 'OPENSSL_free' the returned data */
char *BN_bn2hex(const BIGNUM *a)
- {
- int i,j,v,z=0;
- char *buf;
- char *p;
+{
+ int i, j, v, z = 0;
+ char *buf;
+ char *p;
- buf=(char *)OPENSSL_malloc(a->top*BN_BYTES*2+2);
- if (buf == NULL)
- {
- BNerr(BN_F_BN_BN2HEX,ERR_R_MALLOC_FAILURE);
- goto err;
- }
- p=buf;
- if (a->neg) *(p++)='-';
- if (BN_is_zero(a)) *(p++)='0';
- for (i=a->top-1; i >=0; i--)
- {
- for (j=BN_BITS2-8; j >= 0; j-=8)
- {
- /* strip leading zeros */
- v=((int)(a->d[i]>>(long)j))&0xff;
- if (z || (v != 0))
- {
- *(p++)=Hex[v>>4];
- *(p++)=Hex[v&0x0f];
- z=1;
- }
- }
- }
- *p='\0';
-err:
- return(buf);
- }
+ buf = (char *)OPENSSL_malloc(a->top * BN_BYTES * 2 + 2);
+ if (buf == NULL) {
+ BNerr(BN_F_BN_BN2HEX, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ p = buf;
+ if (a->neg)
+ *(p++) = '-';
+ if (BN_is_zero(a))
+ *(p++) = '0';
+ for (i = a->top - 1; i >= 0; i--) {
+ for (j = BN_BITS2 - 8; j >= 0; j -= 8) {
+ /* strip leading zeros */
+ v = ((int)(a->d[i] >> (long)j)) & 0xff;
+ if (z || (v != 0)) {
+ *(p++) = Hex[v >> 4];
+ *(p++) = Hex[v & 0x0f];
+ z = 1;
+ }
+ }
+ }
+ *p = '\0';
+ err:
+ return (buf);
+}
/* Must 'OPENSSL_free' the returned data */
char *BN_bn2dec(const BIGNUM *a)
- {
- int i=0,num, ok = 0;
- char *buf=NULL;
- char *p;
- BIGNUM *t=NULL;
- BN_ULONG *bn_data=NULL,*lp;
+{
+ int i = 0, num, ok = 0;
+ char *buf = NULL;
+ char *p;
+ BIGNUM *t = NULL;
+ BN_ULONG *bn_data = NULL, *lp;
- /* get an upper bound for the length of the decimal integer
- * num <= (BN_num_bits(a) + 1) * log(2)
- * <= 3 * BN_num_bits(a) * 0.1001 + log(2) + 1 (rounding error)
- * <= BN_num_bits(a)/10 + BN_num_bits/1000 + 1 + 1
- */
- i=BN_num_bits(a)*3;
- num=(i/10+i/1000+1)+1;
- bn_data=(BN_ULONG *)OPENSSL_malloc((num/BN_DEC_NUM+1)*sizeof(BN_ULONG));
- buf=(char *)OPENSSL_malloc(num+3);
- if ((buf == NULL) || (bn_data == NULL))
- {
- BNerr(BN_F_BN_BN2DEC,ERR_R_MALLOC_FAILURE);
- goto err;
- }
- if ((t=BN_dup(a)) == NULL) goto err;
+ /*-
+ * get an upper bound for the length of the decimal integer
+ * num <= (BN_num_bits(a) + 1) * log(2)
+ * <= 3 * BN_num_bits(a) * 0.1001 + log(2) + 1 (rounding error)
+ * <= BN_num_bits(a)/10 + BN_num_bits/1000 + 1 + 1
+ */
+ i = BN_num_bits(a) * 3;
+ num = (i / 10 + i / 1000 + 1) + 1;
+ bn_data =
+ (BN_ULONG *)OPENSSL_malloc((num / BN_DEC_NUM + 1) * sizeof(BN_ULONG));
+ buf = (char *)OPENSSL_malloc(num + 3);
+ if ((buf == NULL) || (bn_data == NULL)) {
+ BNerr(BN_F_BN_BN2DEC, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if ((t = BN_dup(a)) == NULL)
+ goto err;
#define BUF_REMAIN (num+3 - (size_t)(p - buf))
- p=buf;
- lp=bn_data;
- if (BN_is_zero(t))
- {
- *(p++)='0';
- *(p++)='\0';
- }
- else
- {
- if (BN_is_negative(t))
- *p++ = '-';
+ p = buf;
+ lp = bn_data;
+ if (BN_is_zero(t)) {
+ *(p++) = '0';
+ *(p++) = '\0';
+ } else {
+ if (BN_is_negative(t))
+ *p++ = '-';
- i=0;
- while (!BN_is_zero(t))
- {
- *lp=BN_div_word(t,BN_DEC_CONV);
- lp++;
- }
- lp--;
- /* We now have a series of blocks, BN_DEC_NUM chars
- * in length, where the last one needs truncation.
- * The blocks need to be reversed in order. */
- BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT1,*lp);
- while (*p) p++;
- while (lp != bn_data)
- {
- lp--;
- BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT2,*lp);
- while (*p) p++;
- }
- }
- ok = 1;
-err:
- if (bn_data != NULL) OPENSSL_free(bn_data);
- if (t != NULL) BN_free(t);
- if (!ok && buf)
- {
- OPENSSL_free(buf);
- buf = NULL;
- }
+ i = 0;
+ while (!BN_is_zero(t)) {
+ *lp = BN_div_word(t, BN_DEC_CONV);
+ lp++;
+ }
+ lp--;
+ /*
+ * We now have a series of blocks, BN_DEC_NUM chars in length, where
+ * the last one needs truncation. The blocks need to be reversed in
+ * order.
+ */
+ BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT1, *lp);
+ while (*p)
+ p++;
+ while (lp != bn_data) {
+ lp--;
+ BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT2, *lp);
+ while (*p)
+ p++;
+ }
+ }
+ ok = 1;
+ err:
+ if (bn_data != NULL)
+ OPENSSL_free(bn_data);
+ if (t != NULL)
+ BN_free(t);
+ if (!ok && buf) {
+ OPENSSL_free(buf);
+ buf = NULL;
+ }
- return(buf);
- }
+ return (buf);
+}
int BN_hex2bn(BIGNUM **bn, const char *a)
- {
- BIGNUM *ret=NULL;
- BN_ULONG l=0;
- int neg=0,h,m,i,j,k,c;
- int num;
+{
+ BIGNUM *ret = NULL;
+ BN_ULONG l = 0;
+ int neg = 0, h, m, i, j, k, c;
+ int num;
- if ((a == NULL) || (*a == '\0')) return(0);
+ if ((a == NULL) || (*a == '\0'))
+ return (0);
- if (*a == '-') { neg=1; a++; }
+ if (*a == '-') {
+ neg = 1;
+ a++;
+ }
- for (i=0; isxdigit((unsigned char) a[i]); i++)
- ;
+ for (i = 0; isxdigit((unsigned char)a[i]); i++) ;
- num=i+neg;
- if (bn == NULL) return(num);
+ num = i + neg;
+ if (bn == NULL)
+ return (num);
- /* a is the start of the hex digits, and it is 'i' long */
- if (*bn == NULL)
- {
- if ((ret=BN_new()) == NULL) return(0);
- }
- else
- {
- ret= *bn;
- BN_zero(ret);
- }
+ /* a is the start of the hex digits, and it is 'i' long */
+ if (*bn == NULL) {
+ if ((ret = BN_new()) == NULL)
+ return (0);
+ } else {
+ ret = *bn;
+ BN_zero(ret);
+ }
- /* i is the number of hex digests; */
- if (bn_expand(ret,i*4) == NULL) goto err;
+ /* i is the number of hex digests; */
+ if (bn_expand(ret, i * 4) == NULL)
+ goto err;
- j=i; /* least significant 'hex' */
- m=0;
- h=0;
- while (j > 0)
- {
- m=((BN_BYTES*2) <= j)?(BN_BYTES*2):j;
- l=0;
- for (;;)
- {
- c=a[j-m];
- if ((c >= '0') && (c <= '9')) k=c-'0';
- else if ((c >= 'a') && (c <= 'f')) k=c-'a'+10;
- else if ((c >= 'A') && (c <= 'F')) k=c-'A'+10;
- else k=0; /* paranoia */
- l=(l<<4)|k;
+ j = i; /* least significant 'hex' */
+ m = 0;
+ h = 0;
+ while (j > 0) {
+ m = ((BN_BYTES * 2) <= j) ? (BN_BYTES * 2) : j;
+ l = 0;
+ for (;;) {
+ c = a[j - m];
+ if ((c >= '0') && (c <= '9'))
+ k = c - '0';
+ else if ((c >= 'a') && (c <= 'f'))
+ k = c - 'a' + 10;
+ else if ((c >= 'A') && (c <= 'F'))
+ k = c - 'A' + 10;
+ else
+ k = 0; /* paranoia */
+ l = (l << 4) | k;
- if (--m <= 0)
- {
- ret->d[h++]=l;
- break;
- }
- }
- j-=(BN_BYTES*2);
- }
- ret->top=h;
- bn_correct_top(ret);
- ret->neg=neg;
+ if (--m <= 0) {
+ ret->d[h++] = l;
+ break;
+ }
+ }
+ j -= (BN_BYTES * 2);
+ }
+ ret->top = h;
+ bn_correct_top(ret);
+ ret->neg = neg;
- *bn=ret;
- bn_check_top(ret);
- return(num);
-err:
- if (*bn == NULL) BN_free(ret);
- return(0);
- }
+ *bn = ret;
+ bn_check_top(ret);
+ return (num);
+ err:
+ if (*bn == NULL)
+ BN_free(ret);
+ return (0);
+}
int BN_dec2bn(BIGNUM **bn, const char *a)
- {
- BIGNUM *ret=NULL;
- BN_ULONG l=0;
- int neg=0,i,j;
- int num;
+{
+ BIGNUM *ret = NULL;
+ BN_ULONG l = 0;
+ int neg = 0, i, j;
+ int num;
- if ((a == NULL) || (*a == '\0')) return(0);
- if (*a == '-') { neg=1; a++; }
+ if ((a == NULL) || (*a == '\0'))
+ return (0);
+ if (*a == '-') {
+ neg = 1;
+ a++;
+ }
- for (i=0; isdigit((unsigned char) a[i]); i++)
- ;
+ for (i = 0; isdigit((unsigned char)a[i]); i++) ;
- num=i+neg;
- if (bn == NULL) return(num);
+ num = i + neg;
+ if (bn == NULL)
+ return (num);
- /* a is the start of the digits, and it is 'i' long.
- * We chop it into BN_DEC_NUM digits at a time */
- if (*bn == NULL)
- {
- if ((ret=BN_new()) == NULL) return(0);
- }
- else
- {
- ret= *bn;
- BN_zero(ret);
- }
+ /*
+ * a is the start of the digits, and it is 'i' long. We chop it into
+ * BN_DEC_NUM digits at a time
+ */
+ if (*bn == NULL) {
+ if ((ret = BN_new()) == NULL)
+ return (0);
+ } else {
+ ret = *bn;
+ BN_zero(ret);
+ }
- /* i is the number of digests, a bit of an over expand; */
- if (bn_expand(ret,i*4) == NULL) goto err;
+ /* i is the number of digests, a bit of an over expand; */
+ if (bn_expand(ret, i * 4) == NULL)
+ goto err;
- j=BN_DEC_NUM-(i%BN_DEC_NUM);
- if (j == BN_DEC_NUM) j=0;
- l=0;
- while (*a)
- {
- l*=10;
- l+= *a-'0';
- a++;
- if (++j == BN_DEC_NUM)
- {
- BN_mul_word(ret,BN_DEC_CONV);
- BN_add_word(ret,l);
- l=0;
- j=0;
- }
- }
- ret->neg=neg;
+ j = BN_DEC_NUM - (i % BN_DEC_NUM);
+ if (j == BN_DEC_NUM)
+ j = 0;
+ l = 0;
+ while (*a) {
+ l *= 10;
+ l += *a - '0';
+ a++;
+ if (++j == BN_DEC_NUM) {
+ BN_mul_word(ret, BN_DEC_CONV);
+ BN_add_word(ret, l);
+ l = 0;
+ j = 0;
+ }
+ }
+ ret->neg = neg;
- bn_correct_top(ret);
- *bn=ret;
- bn_check_top(ret);
- return(num);
-err:
- if (*bn == NULL) BN_free(ret);
- return(0);
- }
+ bn_correct_top(ret);
+ *bn = ret;
+ bn_check_top(ret);
+ return (num);
+ err:
+ if (*bn == NULL)
+ BN_free(ret);
+ return (0);
+}
#ifndef OPENSSL_NO_BIO
-#ifndef OPENSSL_NO_FP_API
+# ifndef OPENSSL_NO_FP_API
int BN_print_fp(FILE *fp, const BIGNUM *a)
- {
- BIO *b;
- int ret;
+{
+ BIO *b;
+ int ret;
- if ((b=BIO_new(BIO_s_file())) == NULL)
- return(0);
- BIO_set_fp(b,fp,BIO_NOCLOSE);
- ret=BN_print(b,a);
- BIO_free(b);
- return(ret);
- }
-#endif
+ if ((b = BIO_new(BIO_s_file())) == NULL)
+ return (0);
+ BIO_set_fp(b, fp, BIO_NOCLOSE);
+ ret = BN_print(b, a);
+ BIO_free(b);
+ return (ret);
+}
+# endif
int BN_print(BIO *bp, const BIGNUM *a)
- {
- int i,j,v,z=0;
- int ret=0;
+{
+ int i, j, v, z = 0;
+ int ret = 0;
- if ((a->neg) && (BIO_write(bp,"-",1) != 1)) goto end;
- if (BN_is_zero(a) && (BIO_write(bp,"0",1) != 1)) goto end;
- for (i=a->top-1; i >=0; i--)
- {
- for (j=BN_BITS2-4; j >= 0; j-=4)
- {
- /* strip leading zeros */
- v=((int)(a->d[i]>>(long)j))&0x0f;
- if (z || (v != 0))
- {
- if (BIO_write(bp,&(Hex[v]),1) != 1)
- goto end;
- z=1;
- }
- }
- }
- ret=1;
-end:
- return(ret);
- }
+ if ((a->neg) && (BIO_write(bp, "-", 1) != 1))
+ goto end;
+ if (BN_is_zero(a) && (BIO_write(bp, "0", 1) != 1))
+ goto end;
+ for (i = a->top - 1; i >= 0; i--) {
+ for (j = BN_BITS2 - 4; j >= 0; j -= 4) {
+ /* strip leading zeros */
+ v = ((int)(a->d[i] >> (long)j)) & 0x0f;
+ if (z || (v != 0)) {
+ if (BIO_write(bp, &(Hex[v]), 1) != 1)
+ goto end;
+ z = 1;
+ }
+ }
+ }
+ ret = 1;
+ end:
+ return (ret);
+}
#endif
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_rand.c b/Cryptlib/OpenSSL/crypto/bn/bn_rand.c
index b376c28f..7ac71ec8 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_rand.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_rand.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -63,7 +63,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -116,190 +116,174 @@
#include <openssl/rand.h>
static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
- {
- unsigned char *buf=NULL;
- int ret=0,bit,bytes,mask;
- time_t tim;
+{
+ unsigned char *buf = NULL;
+ int ret = 0, bit, bytes, mask;
+ time_t tim;
- if (bits == 0)
- {
- BN_zero(rnd);
- return 1;
- }
+ if (bits == 0) {
+ BN_zero(rnd);
+ return 1;
+ }
- bytes=(bits+7)/8;
- bit=(bits-1)%8;
- mask=0xff<<(bit+1);
+ bytes = (bits + 7) / 8;
+ bit = (bits - 1) % 8;
+ mask = 0xff << (bit + 1);
- buf=(unsigned char *)OPENSSL_malloc(bytes);
- if (buf == NULL)
- {
- BNerr(BN_F_BNRAND,ERR_R_MALLOC_FAILURE);
- goto err;
- }
+ buf = (unsigned char *)OPENSSL_malloc(bytes);
+ if (buf == NULL) {
+ BNerr(BN_F_BNRAND, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
- /* make a random number and set the top and bottom bits */
- time(&tim);
- RAND_add(&tim,sizeof(tim),0.0);
+ /* make a random number and set the top and bottom bits */
+ time(&tim);
+ RAND_add(&tim, sizeof(tim), 0.0);
- if (pseudorand)
- {
- if (RAND_pseudo_bytes(buf, bytes) == -1)
- goto err;
- }
- else
- {
- if (RAND_bytes(buf, bytes) <= 0)
- goto err;
- }
+ if (pseudorand) {
+ if (RAND_pseudo_bytes(buf, bytes) == -1)
+ goto err;
+ } else {
+ if (RAND_bytes(buf, bytes) <= 0)
+ goto err;
+ }
#if 1
- if (pseudorand == 2)
- {
- /* generate patterns that are more likely to trigger BN
- library bugs */
- int i;
- unsigned char c;
+ if (pseudorand == 2) {
+ /*
+ * generate patterns that are more likely to trigger BN library bugs
+ */
+ int i;
+ unsigned char c;
- for (i = 0; i < bytes; i++)
- {
- RAND_pseudo_bytes(&c, 1);
- if (c >= 128 && i > 0)
- buf[i] = buf[i-1];
- else if (c < 42)
- buf[i] = 0;
- else if (c < 84)
- buf[i] = 255;
- }
- }
+ for (i = 0; i < bytes; i++) {
+ RAND_pseudo_bytes(&c, 1);
+ if (c >= 128 && i > 0)
+ buf[i] = buf[i - 1];
+ else if (c < 42)
+ buf[i] = 0;
+ else if (c < 84)
+ buf[i] = 255;
+ }
+ }
#endif
- if (top != -1)
- {
- if (top)
- {
- if (bit == 0)
- {
- buf[0]=1;
- buf[1]|=0x80;
- }
- else
- {
- buf[0]|=(3<<(bit-1));
- }
- }
- else
- {
- buf[0]|=(1<<bit);
- }
- }
- buf[0] &= ~mask;
- if (bottom) /* set bottom bit if requested */
- buf[bytes-1]|=1;
- if (!BN_bin2bn(buf,bytes,rnd)) goto err;
- ret=1;
-err:
- if (buf != NULL)
- {
- OPENSSL_cleanse(buf,bytes);
- OPENSSL_free(buf);
- }
- bn_check_top(rnd);
- return(ret);
- }
+ if (top != -1) {
+ if (top) {
+ if (bit == 0) {
+ buf[0] = 1;
+ buf[1] |= 0x80;
+ } else {
+ buf[0] |= (3 << (bit - 1));
+ }
+ } else {
+ buf[0] |= (1 << bit);
+ }
+ }
+ buf[0] &= ~mask;
+ if (bottom) /* set bottom bit if requested */
+ buf[bytes - 1] |= 1;
+ if (!BN_bin2bn(buf, bytes, rnd))
+ goto err;
+ ret = 1;
+ err:
+ if (buf != NULL) {
+ OPENSSL_cleanse(buf, bytes);
+ OPENSSL_free(buf);
+ }
+ bn_check_top(rnd);
+ return (ret);
+}
-int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
- {
- return bnrand(0, rnd, bits, top, bottom);
- }
+int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
+{
+ return bnrand(0, rnd, bits, top, bottom);
+}
-int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
- {
- return bnrand(1, rnd, bits, top, bottom);
- }
+int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
+{
+ return bnrand(1, rnd, bits, top, bottom);
+}
#if 1
-int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
- {
- return bnrand(2, rnd, bits, top, bottom);
- }
+int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
+{
+ return bnrand(2, rnd, bits, top, bottom);
+}
#endif
-
/* random number r: 0 <= r < range */
static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
- {
- int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand;
- int n;
- int count = 100;
+{
+ int (*bn_rand) (BIGNUM *, int, int, int) =
+ pseudo ? BN_pseudo_rand : BN_rand;
+ int n;
+ int count = 100;
- if (range->neg || BN_is_zero(range))
- {
- BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
- return 0;
- }
+ if (range->neg || BN_is_zero(range)) {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
+ return 0;
+ }
- n = BN_num_bits(range); /* n > 0 */
+ n = BN_num_bits(range); /* n > 0 */
- /* BN_is_bit_set(range, n - 1) always holds */
+ /* BN_is_bit_set(range, n - 1) always holds */
- if (n == 1)
- BN_zero(r);
- else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
- {
- /* range = 100..._2,
- * so 3*range (= 11..._2) is exactly one bit longer than range */
- do
- {
- if (!bn_rand(r, n + 1, -1, 0)) return 0;
- /* If r < 3*range, use r := r MOD range
- * (which is either r, r - range, or r - 2*range).
- * Otherwise, iterate once more.
- * Since 3*range = 11..._2, each iteration succeeds with
- * probability >= .75. */
- if (BN_cmp(r ,range) >= 0)
- {
- if (!BN_sub(r, r, range)) return 0;
- if (BN_cmp(r, range) >= 0)
- if (!BN_sub(r, r, range)) return 0;
- }
+ if (n == 1)
+ BN_zero(r);
+ else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3)) {
+ /*
+ * range = 100..._2, so 3*range (= 11..._2) is exactly one bit longer
+ * than range
+ */
+ do {
+ if (!bn_rand(r, n + 1, -1, 0))
+ return 0;
+ /*
+ * If r < 3*range, use r := r MOD range (which is either r, r -
+ * range, or r - 2*range). Otherwise, iterate once more. Since
+ * 3*range = 11..._2, each iteration succeeds with probability >=
+ * .75.
+ */
+ if (BN_cmp(r, range) >= 0) {
+ if (!BN_sub(r, r, range))
+ return 0;
+ if (BN_cmp(r, range) >= 0)
+ if (!BN_sub(r, r, range))
+ return 0;
+ }
- if (!--count)
- {
- BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
- return 0;
- }
-
- }
- while (BN_cmp(r, range) >= 0);
- }
- else
- {
- do
- {
- /* range = 11..._2 or range = 101..._2 */
- if (!bn_rand(r, n, -1, 0)) return 0;
+ if (!--count) {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
+ return 0;
+ }
- if (!--count)
- {
- BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
- return 0;
- }
- }
- while (BN_cmp(r, range) >= 0);
- }
+ }
+ while (BN_cmp(r, range) >= 0);
+ } else {
+ do {
+ /* range = 11..._2 or range = 101..._2 */
+ if (!bn_rand(r, n, -1, 0))
+ return 0;
- bn_check_top(r);
- return 1;
- }
+ if (!--count) {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
+ return 0;
+ }
+ }
+ while (BN_cmp(r, range) >= 0);
+ }
+ bn_check_top(r);
+ return 1;
+}
-int BN_rand_range(BIGNUM *r, const BIGNUM *range)
- {
- return bn_rand_range(0, r, range);
- }
+int BN_rand_range(BIGNUM *r, const BIGNUM *range)
+{
+ return bn_rand_range(0, r, range);
+}
-int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
- {
- return bn_rand_range(1, r, range);
- }
+int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
+{
+ return bn_rand_range(1, r, range);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_recp.c b/Cryptlib/OpenSSL/crypto/bn/bn_recp.c
index 2e8efb8d..6826f93b 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_recp.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_recp.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,174 +61,189 @@
#include "bn_lcl.h"
void BN_RECP_CTX_init(BN_RECP_CTX *recp)
- {
- BN_init(&(recp->N));
- BN_init(&(recp->Nr));
- recp->num_bits=0;
- recp->flags=0;
- }
+{
+ BN_init(&(recp->N));
+ BN_init(&(recp->Nr));
+ recp->num_bits = 0;
+ recp->flags = 0;
+}
BN_RECP_CTX *BN_RECP_CTX_new(void)
- {
- BN_RECP_CTX *ret;
+{
+ BN_RECP_CTX *ret;
- if ((ret=(BN_RECP_CTX *)OPENSSL_malloc(sizeof(BN_RECP_CTX))) == NULL)
- return(NULL);
+ if ((ret = (BN_RECP_CTX *)OPENSSL_malloc(sizeof(BN_RECP_CTX))) == NULL)
+ return (NULL);
- BN_RECP_CTX_init(ret);
- ret->flags=BN_FLG_MALLOCED;
- return(ret);
- }
+ BN_RECP_CTX_init(ret);
+ ret->flags = BN_FLG_MALLOCED;
+ return (ret);
+}
void BN_RECP_CTX_free(BN_RECP_CTX *recp)
- {
- if(recp == NULL)
- return;
+{
+ if (recp == NULL)
+ return;
- BN_free(&(recp->N));
- BN_free(&(recp->Nr));
- if (recp->flags & BN_FLG_MALLOCED)
- OPENSSL_free(recp);
- }
+ BN_free(&(recp->N));
+ BN_free(&(recp->Nr));
+ if (recp->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(recp);
+}
int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
- {
- if (!BN_copy(&(recp->N),d)) return 0;
- BN_zero(&(recp->Nr));
- recp->num_bits=BN_num_bits(d);
- recp->shift=0;
- return(1);
- }
+{
+ if (!BN_copy(&(recp->N), d))
+ return 0;
+ BN_zero(&(recp->Nr));
+ recp->num_bits = BN_num_bits(d);
+ recp->shift = 0;
+ return (1);
+}
int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
- BN_RECP_CTX *recp, BN_CTX *ctx)
- {
- int ret=0;
- BIGNUM *a;
- const BIGNUM *ca;
-
- BN_CTX_start(ctx);
- if ((a = BN_CTX_get(ctx)) == NULL) goto err;
- if (y != NULL)
- {
- if (x == y)
- { if (!BN_sqr(a,x,ctx)) goto err; }
- else
- { if (!BN_mul(a,x,y,ctx)) goto err; }
- ca = a;
- }
- else
- ca=x; /* Just do the mod */
-
- ret = BN_div_recp(NULL,r,ca,recp,ctx);
-err:
- BN_CTX_end(ctx);
- bn_check_top(r);
- return(ret);
- }
+ BN_RECP_CTX *recp, BN_CTX *ctx)
+{
+ int ret = 0;
+ BIGNUM *a;
+ const BIGNUM *ca;
+
+ BN_CTX_start(ctx);
+ if ((a = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ if (y != NULL) {
+ if (x == y) {
+ if (!BN_sqr(a, x, ctx))
+ goto err;
+ } else {
+ if (!BN_mul(a, x, y, ctx))
+ goto err;
+ }
+ ca = a;
+ } else
+ ca = x; /* Just do the mod */
+
+ ret = BN_div_recp(NULL, r, ca, recp, ctx);
+ err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return (ret);
+}
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
- BN_RECP_CTX *recp, BN_CTX *ctx)
- {
- int i,j,ret=0;
- BIGNUM *a,*b,*d,*r;
-
- BN_CTX_start(ctx);
- a=BN_CTX_get(ctx);
- b=BN_CTX_get(ctx);
- if (dv != NULL)
- d=dv;
- else
- d=BN_CTX_get(ctx);
- if (rem != NULL)
- r=rem;
- else
- r=BN_CTX_get(ctx);
- if (a == NULL || b == NULL || d == NULL || r == NULL) goto err;
-
- if (BN_ucmp(m,&(recp->N)) < 0)
- {
- BN_zero(d);
- if (!BN_copy(r,m)) return 0;
- BN_CTX_end(ctx);
- return(1);
- }
-
- /* We want the remainder
- * Given input of ABCDEF / ab
- * we need multiply ABCDEF by 3 digests of the reciprocal of ab
- *
- */
-
- /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */
- i=BN_num_bits(m);
- j=recp->num_bits<<1;
- if (j>i) i=j;
-
- /* Nr := round(2^i / N) */
- if (i != recp->shift)
- recp->shift=BN_reciprocal(&(recp->Nr),&(recp->N),
- i,ctx); /* BN_reciprocal returns i, or -1 for an error */
- if (recp->shift == -1) goto err;
-
- /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))|
- * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))|
- * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)|
- * = |m/N|
- */
- if (!BN_rshift(a,m,recp->num_bits)) goto err;
- if (!BN_mul(b,a,&(recp->Nr),ctx)) goto err;
- if (!BN_rshift(d,b,i-recp->num_bits)) goto err;
- d->neg=0;
-
- if (!BN_mul(b,&(recp->N),d,ctx)) goto err;
- if (!BN_usub(r,m,b)) goto err;
- r->neg=0;
+ BN_RECP_CTX *recp, BN_CTX *ctx)
+{
+ int i, j, ret = 0;
+ BIGNUM *a, *b, *d, *r;
+
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ if (dv != NULL)
+ d = dv;
+ else
+ d = BN_CTX_get(ctx);
+ if (rem != NULL)
+ r = rem;
+ else
+ r = BN_CTX_get(ctx);
+ if (a == NULL || b == NULL || d == NULL || r == NULL)
+ goto err;
+
+ if (BN_ucmp(m, &(recp->N)) < 0) {
+ BN_zero(d);
+ if (!BN_copy(r, m))
+ return 0;
+ BN_CTX_end(ctx);
+ return (1);
+ }
+
+ /*
+ * We want the remainder Given input of ABCDEF / ab we need multiply
+ * ABCDEF by 3 digests of the reciprocal of ab
+ */
+
+ /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */
+ i = BN_num_bits(m);
+ j = recp->num_bits << 1;
+ if (j > i)
+ i = j;
+
+ /* Nr := round(2^i / N) */
+ if (i != recp->shift)
+ recp->shift = BN_reciprocal(&(recp->Nr), &(recp->N), i, ctx);
+ /* BN_reciprocal could have returned -1 for an error */
+ if (recp->shift == -1)
+ goto err;
+
+ /*-
+ * d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))|
+ * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))|
+ * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)|
+ * = |m/N|
+ */
+ if (!BN_rshift(a, m, recp->num_bits))
+ goto err;
+ if (!BN_mul(b, a, &(recp->Nr), ctx))
+ goto err;
+ if (!BN_rshift(d, b, i - recp->num_bits))
+ goto err;
+ d->neg = 0;
+
+ if (!BN_mul(b, &(recp->N), d, ctx))
+ goto err;
+ if (!BN_usub(r, m, b))
+ goto err;
+ r->neg = 0;
#if 1
- j=0;
- while (BN_ucmp(r,&(recp->N)) >= 0)
- {
- if (j++ > 2)
- {
- BNerr(BN_F_BN_DIV_RECP,BN_R_BAD_RECIPROCAL);
- goto err;
- }
- if (!BN_usub(r,r,&(recp->N))) goto err;
- if (!BN_add_word(d,1)) goto err;
- }
+ j = 0;
+ while (BN_ucmp(r, &(recp->N)) >= 0) {
+ if (j++ > 2) {
+ BNerr(BN_F_BN_DIV_RECP, BN_R_BAD_RECIPROCAL);
+ goto err;
+ }
+ if (!BN_usub(r, r, &(recp->N)))
+ goto err;
+ if (!BN_add_word(d, 1))
+ goto err;
+ }
#endif
- r->neg=BN_is_zero(r)?0:m->neg;
- d->neg=m->neg^recp->N.neg;
- ret=1;
-err:
- BN_CTX_end(ctx);
- bn_check_top(dv);
- bn_check_top(rem);
- return(ret);
- }
-
-/* len is the expected size of the result
- * We actually calculate with an extra word of precision, so
- * we can do faster division if the remainder is not required.
+ r->neg = BN_is_zero(r) ? 0 : m->neg;
+ d->neg = m->neg ^ recp->N.neg;
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ bn_check_top(dv);
+ bn_check_top(rem);
+ return (ret);
+}
+
+/*
+ * len is the expected size of the result We actually calculate with an extra
+ * word of precision, so we can do faster division if the remainder is not
+ * required.
*/
/* r := 2^len / m */
int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx)
- {
- int ret= -1;
- BIGNUM *t;
-
- BN_CTX_start(ctx);
- if((t = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_set_bit(t,len)) goto err;
-
- if (!BN_div(r,NULL,t,m,ctx)) goto err;
-
- ret=len;
-err:
- bn_check_top(r);
- BN_CTX_end(ctx);
- return(ret);
- }
+{
+ int ret = -1;
+ BIGNUM *t;
+
+ BN_CTX_start(ctx);
+ if ((t = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ if (!BN_set_bit(t, len))
+ goto err;
+
+ if (!BN_div(r, NULL, t, m, ctx))
+ goto err;
+
+ ret = len;
+ err:
+ bn_check_top(r);
+ BN_CTX_end(ctx);
+ return (ret);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_shift.c b/Cryptlib/OpenSSL/crypto/bn/bn_shift.c
index c4d301af..67904c99 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_shift.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_shift.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,160 +61,149 @@
#include "bn_lcl.h"
int BN_lshift1(BIGNUM *r, const BIGNUM *a)
- {
- register BN_ULONG *ap,*rp,t,c;
- int i;
+{
+ register BN_ULONG *ap, *rp, t, c;
+ int i;
- bn_check_top(r);
- bn_check_top(a);
+ bn_check_top(r);
+ bn_check_top(a);
- if (r != a)
- {
- r->neg=a->neg;
- if (bn_wexpand(r,a->top+1) == NULL) return(0);
- r->top=a->top;
- }
- else
- {
- if (bn_wexpand(r,a->top+1) == NULL) return(0);
- }
- ap=a->d;
- rp=r->d;
- c=0;
- for (i=0; i<a->top; i++)
- {
- t= *(ap++);
- *(rp++)=((t<<1)|c)&BN_MASK2;
- c=(t & BN_TBIT)?1:0;
- }
- if (c)
- {
- *rp=1;
- r->top++;
- }
- bn_check_top(r);
- return(1);
- }
+ if (r != a) {
+ r->neg = a->neg;
+ if (bn_wexpand(r, a->top + 1) == NULL)
+ return (0);
+ r->top = a->top;
+ } else {
+ if (bn_wexpand(r, a->top + 1) == NULL)
+ return (0);
+ }
+ ap = a->d;
+ rp = r->d;
+ c = 0;
+ for (i = 0; i < a->top; i++) {
+ t = *(ap++);
+ *(rp++) = ((t << 1) | c) & BN_MASK2;
+ c = (t & BN_TBIT) ? 1 : 0;
+ }
+ if (c) {
+ *rp = 1;
+ r->top++;
+ }
+ bn_check_top(r);
+ return (1);
+}
int BN_rshift1(BIGNUM *r, const BIGNUM *a)
- {
- BN_ULONG *ap,*rp,t,c;
- int i;
+{
+ BN_ULONG *ap, *rp, t, c;
+ int i;
- bn_check_top(r);
- bn_check_top(a);
+ bn_check_top(r);
+ bn_check_top(a);
- if (BN_is_zero(a))
- {
- BN_zero(r);
- return(1);
- }
- if (a != r)
- {
- if (bn_wexpand(r,a->top) == NULL) return(0);
- r->top=a->top;
- r->neg=a->neg;
- }
- ap=a->d;
- rp=r->d;
- c=0;
- for (i=a->top-1; i>=0; i--)
- {
- t=ap[i];
- rp[i]=((t>>1)&BN_MASK2)|c;
- c=(t&1)?BN_TBIT:0;
- }
- bn_correct_top(r);
- bn_check_top(r);
- return(1);
- }
+ if (BN_is_zero(a)) {
+ BN_zero(r);
+ return (1);
+ }
+ if (a != r) {
+ if (bn_wexpand(r, a->top) == NULL)
+ return (0);
+ r->top = a->top;
+ r->neg = a->neg;
+ }
+ ap = a->d;
+ rp = r->d;
+ c = 0;
+ for (i = a->top - 1; i >= 0; i--) {
+ t = ap[i];
+ rp[i] = ((t >> 1) & BN_MASK2) | c;
+ c = (t & 1) ? BN_TBIT : 0;
+ }
+ bn_correct_top(r);
+ bn_check_top(r);
+ return (1);
+}
int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
- {
- int i,nw,lb,rb;
- BN_ULONG *t,*f;
- BN_ULONG l;
+{
+ int i, nw, lb, rb;
+ BN_ULONG *t, *f;
+ BN_ULONG l;
- bn_check_top(r);
- bn_check_top(a);
+ bn_check_top(r);
+ bn_check_top(a);
- r->neg=a->neg;
- nw=n/BN_BITS2;
- if (bn_wexpand(r,a->top+nw+1) == NULL) return(0);
- lb=n%BN_BITS2;
- rb=BN_BITS2-lb;
- f=a->d;
- t=r->d;
- t[a->top+nw]=0;
- if (lb == 0)
- for (i=a->top-1; i>=0; i--)
- t[nw+i]=f[i];
- else
- for (i=a->top-1; i>=0; i--)
- {
- l=f[i];
- t[nw+i+1]|=(l>>rb)&BN_MASK2;
- t[nw+i]=(l<<lb)&BN_MASK2;
- }
- memset(t,0,nw*sizeof(t[0]));
-/* for (i=0; i<nw; i++)
- t[i]=0;*/
- r->top=a->top+nw+1;
- bn_correct_top(r);
- bn_check_top(r);
- return(1);
- }
+ r->neg = a->neg;
+ nw = n / BN_BITS2;
+ if (bn_wexpand(r, a->top + nw + 1) == NULL)
+ return (0);
+ lb = n % BN_BITS2;
+ rb = BN_BITS2 - lb;
+ f = a->d;
+ t = r->d;
+ t[a->top + nw] = 0;
+ if (lb == 0)
+ for (i = a->top - 1; i >= 0; i--)
+ t[nw + i] = f[i];
+ else
+ for (i = a->top - 1; i >= 0; i--) {
+ l = f[i];
+ t[nw + i + 1] |= (l >> rb) & BN_MASK2;
+ t[nw + i] = (l << lb) & BN_MASK2;
+ }
+ memset(t, 0, nw * sizeof(t[0]));
+ /*
+ * for (i=0; i<nw; i++) t[i]=0;
+ */
+ r->top = a->top + nw + 1;
+ bn_correct_top(r);
+ bn_check_top(r);
+ return (1);
+}
int BN_rshift(BIGNUM *r, const BIGNUM *a, int n)
- {
- int i,j,nw,lb,rb;
- BN_ULONG *t,*f;
- BN_ULONG l,tmp;
+{
+ int i, j, nw, lb, rb;
+ BN_ULONG *t, *f;
+ BN_ULONG l, tmp;
- bn_check_top(r);
- bn_check_top(a);
+ bn_check_top(r);
+ bn_check_top(a);
- nw=n/BN_BITS2;
- rb=n%BN_BITS2;
- lb=BN_BITS2-rb;
- if (nw >= a->top || a->top == 0)
- {
- BN_zero(r);
- return(1);
- }
- if (r != a)
- {
- r->neg=a->neg;
- if (bn_wexpand(r,a->top-nw+1) == NULL) return(0);
- }
- else
- {
- if (n == 0)
- return 1; /* or the copying loop will go berserk */
- }
+ nw = n / BN_BITS2;
+ rb = n % BN_BITS2;
+ lb = BN_BITS2 - rb;
+ if (nw >= a->top || a->top == 0) {
+ BN_zero(r);
+ return (1);
+ }
+ if (r != a) {
+ r->neg = a->neg;
+ if (bn_wexpand(r, a->top - nw + 1) == NULL)
+ return (0);
+ } else {
+ if (n == 0)
+ return 1; /* or the copying loop will go berserk */
+ }
- f= &(a->d[nw]);
- t=r->d;
- j=a->top-nw;
- r->top=j;
+ f = &(a->d[nw]);
+ t = r->d;
+ j = a->top - nw;
+ r->top = j;
- if (rb == 0)
- {
- for (i=j; i != 0; i--)
- *(t++)= *(f++);
- }
- else
- {
- l= *(f++);
- for (i=j-1; i != 0; i--)
- {
- tmp =(l>>rb)&BN_MASK2;
- l= *(f++);
- *(t++) =(tmp|(l<<lb))&BN_MASK2;
- }
- *(t++) =(l>>rb)&BN_MASK2;
- }
- bn_correct_top(r);
- bn_check_top(r);
- return(1);
- }
+ if (rb == 0) {
+ for (i = j; i != 0; i--)
+ *(t++) = *(f++);
+ } else {
+ l = *(f++);
+ for (i = j - 1; i != 0; i--) {
+ tmp = (l >> rb) & BN_MASK2;
+ l = *(f++);
+ *(t++) = (tmp | (l << lb)) & BN_MASK2;
+ }
+ *(t++) = (l >> rb) & BN_MASK2;
+ }
+ bn_correct_top(r);
+ bn_check_top(r);
+ return (1);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c b/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c
index 65bbf165..3ca69879 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,140 +61,137 @@
#include "bn_lcl.h"
/* r must not be a */
-/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */
+/*
+ * I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96
+ */
int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
- {
- int max,al;
- int ret = 0;
- BIGNUM *tmp,*rr;
+{
+ int max, al;
+ int ret = 0;
+ BIGNUM *tmp, *rr;
#ifdef BN_COUNT
- fprintf(stderr,"BN_sqr %d * %d\n",a->top,a->top);
+ fprintf(stderr, "BN_sqr %d * %d\n", a->top, a->top);
#endif
- bn_check_top(a);
+ bn_check_top(a);
- al=a->top;
- if (al <= 0)
- {
- r->top=0;
- r->neg = 0;
- return 1;
- }
+ al = a->top;
+ if (al <= 0) {
+ r->top = 0;
+ r->neg = 0;
+ return 1;
+ }
- BN_CTX_start(ctx);
- rr=(a != r) ? r : BN_CTX_get(ctx);
- tmp=BN_CTX_get(ctx);
- if (!rr || !tmp) goto err;
+ BN_CTX_start(ctx);
+ rr = (a != r) ? r : BN_CTX_get(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (!rr || !tmp)
+ goto err;
- max = 2 * al; /* Non-zero (from above) */
- if (bn_wexpand(rr,max) == NULL) goto err;
+ max = 2 * al; /* Non-zero (from above) */
+ if (bn_wexpand(rr, max) == NULL)
+ goto err;
- if (al == 4)
- {
+ if (al == 4) {
#ifndef BN_SQR_COMBA
- BN_ULONG t[8];
- bn_sqr_normal(rr->d,a->d,4,t);
+ BN_ULONG t[8];
+ bn_sqr_normal(rr->d, a->d, 4, t);
#else
- bn_sqr_comba4(rr->d,a->d);
+ bn_sqr_comba4(rr->d, a->d);
#endif
- }
- else if (al == 8)
- {
+ } else if (al == 8) {
#ifndef BN_SQR_COMBA
- BN_ULONG t[16];
- bn_sqr_normal(rr->d,a->d,8,t);
+ BN_ULONG t[16];
+ bn_sqr_normal(rr->d, a->d, 8, t);
#else
- bn_sqr_comba8(rr->d,a->d);
+ bn_sqr_comba8(rr->d, a->d);
#endif
- }
- else
- {
+ } else {
#if defined(BN_RECURSION)
- if (al < BN_SQR_RECURSIVE_SIZE_NORMAL)
- {
- BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL*2];
- bn_sqr_normal(rr->d,a->d,al,t);
- }
- else
- {
- int j,k;
+ if (al < BN_SQR_RECURSIVE_SIZE_NORMAL) {
+ BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL * 2];
+ bn_sqr_normal(rr->d, a->d, al, t);
+ } else {
+ int j, k;
- j=BN_num_bits_word((BN_ULONG)al);
- j=1<<(j-1);
- k=j+j;
- if (al == j)
- {
- if (bn_wexpand(tmp,k*2) == NULL) goto err;
- bn_sqr_recursive(rr->d,a->d,al,tmp->d);
- }
- else
- {
- if (bn_wexpand(tmp,max) == NULL) goto err;
- bn_sqr_normal(rr->d,a->d,al,tmp->d);
- }
- }
+ j = BN_num_bits_word((BN_ULONG)al);
+ j = 1 << (j - 1);
+ k = j + j;
+ if (al == j) {
+ if (bn_wexpand(tmp, k * 2) == NULL)
+ goto err;
+ bn_sqr_recursive(rr->d, a->d, al, tmp->d);
+ } else {
+ if (bn_wexpand(tmp, max) == NULL)
+ goto err;
+ bn_sqr_normal(rr->d, a->d, al, tmp->d);
+ }
+ }
#else
- if (bn_wexpand(tmp,max) == NULL) goto err;
- bn_sqr_normal(rr->d,a->d,al,tmp->d);
+ if (bn_wexpand(tmp, max) == NULL)
+ goto err;
+ bn_sqr_normal(rr->d, a->d, al, tmp->d);
#endif
- }
+ }
- rr->neg=0;
- /* If the most-significant half of the top word of 'a' is zero, then
- * the square of 'a' will max-1 words. */
- if(a->d[al - 1] == (a->d[al - 1] & BN_MASK2l))
- rr->top = max - 1;
- else
- rr->top = max;
- if (rr != r) BN_copy(r,rr);
- ret = 1;
+ rr->neg = 0;
+ /*
+ * If the most-significant half of the top word of 'a' is zero, then the
+ * square of 'a' will max-1 words.
+ */
+ if (a->d[al - 1] == (a->d[al - 1] & BN_MASK2l))
+ rr->top = max - 1;
+ else
+ rr->top = max;
+ if (rr != r)
+ BN_copy(r, rr);
+ ret = 1;
err:
- bn_check_top(rr);
- bn_check_top(tmp);
- BN_CTX_end(ctx);
- return(ret);
- }
+ bn_check_top(rr);
+ bn_check_top(tmp);
+ BN_CTX_end(ctx);
+ return (ret);
+}
/* tmp must have 2*n words */
void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
- {
- int i,j,max;
- const BN_ULONG *ap;
- BN_ULONG *rp;
+{
+ int i, j, max;
+ const BN_ULONG *ap;
+ BN_ULONG *rp;
- max=n*2;
- ap=a;
- rp=r;
- rp[0]=rp[max-1]=0;
- rp++;
- j=n;
+ max = n * 2;
+ ap = a;
+ rp = r;
+ rp[0] = rp[max - 1] = 0;
+ rp++;
+ j = n;
- if (--j > 0)
- {
- ap++;
- rp[j]=bn_mul_words(rp,ap,j,ap[-1]);
- rp+=2;
- }
+ if (--j > 0) {
+ ap++;
+ rp[j] = bn_mul_words(rp, ap, j, ap[-1]);
+ rp += 2;
+ }
- for (i=n-2; i>0; i--)
- {
- j--;
- ap++;
- rp[j]=bn_mul_add_words(rp,ap,j,ap[-1]);
- rp+=2;
- }
+ for (i = n - 2; i > 0; i--) {
+ j--;
+ ap++;
+ rp[j] = bn_mul_add_words(rp, ap, j, ap[-1]);
+ rp += 2;
+ }
- bn_add_words(r,r,r,max);
+ bn_add_words(r, r, r, max);
- /* There will not be a carry */
+ /* There will not be a carry */
- bn_sqr_words(tmp,a,n);
+ bn_sqr_words(tmp, a, n);
- bn_add_words(r,r,tmp,max);
- }
+ bn_add_words(r, r, tmp, max);
+}
#ifdef BN_RECURSION
-/* r is 2*n words in size,
+/*-
+ * r is 2*n words in size,
* a and b are both n words in size. (There's not actually a 'b' here ...)
* n must be a power of 2.
* We multiply and return the result.
@@ -205,91 +202,89 @@ void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
* a[1]*b[1]
*/
void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
- {
- int n=n2/2;
- int zero,c1;
- BN_ULONG ln,lo,*p;
+{
+ int n = n2 / 2;
+ int zero, c1;
+ BN_ULONG ln, lo, *p;
-#ifdef BN_COUNT
- fprintf(stderr," bn_sqr_recursive %d * %d\n",n2,n2);
-#endif
- if (n2 == 4)
- {
-#ifndef BN_SQR_COMBA
- bn_sqr_normal(r,a,4,t);
-#else
- bn_sqr_comba4(r,a);
-#endif
- return;
- }
- else if (n2 == 8)
- {
-#ifndef BN_SQR_COMBA
- bn_sqr_normal(r,a,8,t);
-#else
- bn_sqr_comba8(r,a);
-#endif
- return;
- }
- if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL)
- {
- bn_sqr_normal(r,a,n2,t);
- return;
- }
- /* r=(a[0]-a[1])*(a[1]-a[0]) */
- c1=bn_cmp_words(a,&(a[n]),n);
- zero=0;
- if (c1 > 0)
- bn_sub_words(t,a,&(a[n]),n);
- else if (c1 < 0)
- bn_sub_words(t,&(a[n]),a,n);
- else
- zero=1;
+# ifdef BN_COUNT
+ fprintf(stderr, " bn_sqr_recursive %d * %d\n", n2, n2);
+# endif
+ if (n2 == 4) {
+# ifndef BN_SQR_COMBA
+ bn_sqr_normal(r, a, 4, t);
+# else
+ bn_sqr_comba4(r, a);
+# endif
+ return;
+ } else if (n2 == 8) {
+# ifndef BN_SQR_COMBA
+ bn_sqr_normal(r, a, 8, t);
+# else
+ bn_sqr_comba8(r, a);
+# endif
+ return;
+ }
+ if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL) {
+ bn_sqr_normal(r, a, n2, t);
+ return;
+ }
+ /* r=(a[0]-a[1])*(a[1]-a[0]) */
+ c1 = bn_cmp_words(a, &(a[n]), n);
+ zero = 0;
+ if (c1 > 0)
+ bn_sub_words(t, a, &(a[n]), n);
+ else if (c1 < 0)
+ bn_sub_words(t, &(a[n]), a, n);
+ else
+ zero = 1;
- /* The result will always be negative unless it is zero */
- p= &(t[n2*2]);
+ /* The result will always be negative unless it is zero */
+ p = &(t[n2 * 2]);
- if (!zero)
- bn_sqr_recursive(&(t[n2]),t,n,p);
- else
- memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
- bn_sqr_recursive(r,a,n,p);
- bn_sqr_recursive(&(r[n2]),&(a[n]),n,p);
+ if (!zero)
+ bn_sqr_recursive(&(t[n2]), t, n, p);
+ else
+ memset(&(t[n2]), 0, n2 * sizeof(BN_ULONG));
+ bn_sqr_recursive(r, a, n, p);
+ bn_sqr_recursive(&(r[n2]), &(a[n]), n, p);
- /* t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- */
+ /*-
+ * t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
- c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
+ c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
- /* t[32] is negative */
- c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+ /* t[32] is negative */
+ c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
- /* t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
- * r[10] holds (a[0]*a[0])
- * r[32] holds (a[1]*a[1])
- * c1 holds the carry bits
- */
- c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
- if (c1)
- {
- p= &(r[n+n2]);
- lo= *p;
- ln=(lo+c1)&BN_MASK2;
- *p=ln;
+ /*-
+ * t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
+ * r[10] holds (a[0]*a[0])
+ * r[32] holds (a[1]*a[1])
+ * c1 holds the carry bits
+ */
+ c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
+ if (c1) {
+ p = &(r[n + n2]);
+ lo = *p;
+ ln = (lo + c1) & BN_MASK2;
+ *p = ln;
- /* The overflow will stop before we over write
- * words we should not overwrite */
- if (ln < (BN_ULONG)c1)
- {
- do {
- p++;
- lo= *p;
- ln=(lo+1)&BN_MASK2;
- *p=ln;
- } while (ln == 0);
- }
- }
- }
+ /*
+ * The overflow will stop before we over write words we should not
+ * overwrite
+ */
+ if (ln < (BN_ULONG)c1) {
+ do {
+ p++;
+ lo = *p;
+ ln = (lo + 1) & BN_MASK2;
+ *p = ln;
+ } while (ln == 0);
+ }
+ }
+}
#endif
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c b/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c
index 6beaf9e5..232af99a 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c
@@ -1,6 +1,8 @@
/* crypto/bn/bn_sqrt.c */
-/* Written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
- * and Bodo Moeller for the OpenSSL project. */
+/*
+ * Written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> and Bodo
+ * Moeller for the OpenSSL project.
+ */
/* ====================================================================
* Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
*
@@ -9,7 +11,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -58,336 +60,350 @@
#include "cryptlib.h"
#include "bn_lcl.h"
-
-BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
-/* Returns 'ret' such that
- * ret^2 == a (mod p),
- * using the Tonelli/Shanks algorithm (cf. Henri Cohen, "A Course
- * in Algebraic Computational Number Theory", algorithm 1.5.1).
- * 'p' must be prime!
+BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+/*
+ * Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks
+ * algorithm (cf. Henri Cohen, "A Course in Algebraic Computational Number
+ * Theory", algorithm 1.5.1). 'p' must be prime!
*/
- {
- BIGNUM *ret = in;
- int err = 1;
- int r;
- BIGNUM *A, *b, *q, *t, *x, *y;
- int e, i, j;
-
- if (!BN_is_odd(p) || BN_abs_is_word(p, 1))
- {
- if (BN_abs_is_word(p, 2))
- {
- if (ret == NULL)
- ret = BN_new();
- if (ret == NULL)
- goto end;
- if (!BN_set_word(ret, BN_is_bit_set(a, 0)))
- {
- if (ret != in)
- BN_free(ret);
- return NULL;
- }
- bn_check_top(ret);
- return ret;
- }
-
- BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
- return(NULL);
- }
-
- if (BN_is_zero(a) || BN_is_one(a))
- {
- if (ret == NULL)
- ret = BN_new();
- if (ret == NULL)
- goto end;
- if (!BN_set_word(ret, BN_is_one(a)))
- {
- if (ret != in)
- BN_free(ret);
- return NULL;
- }
- bn_check_top(ret);
- return ret;
- }
-
- BN_CTX_start(ctx);
- A = BN_CTX_get(ctx);
- b = BN_CTX_get(ctx);
- q = BN_CTX_get(ctx);
- t = BN_CTX_get(ctx);
- x = BN_CTX_get(ctx);
- y = BN_CTX_get(ctx);
- if (y == NULL) goto end;
-
- if (ret == NULL)
- ret = BN_new();
- if (ret == NULL) goto end;
-
- /* A = a mod p */
- if (!BN_nnmod(A, a, p, ctx)) goto end;
-
- /* now write |p| - 1 as 2^e*q where q is odd */
- e = 1;
- while (!BN_is_bit_set(p, e))
- e++;
- /* we'll set q later (if needed) */
-
- if (e == 1)
- {
- /* The easy case: (|p|-1)/2 is odd, so 2 has an inverse
- * modulo (|p|-1)/2, and square roots can be computed
- * directly by modular exponentiation.
- * We have
- * 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2),
- * so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1.
- */
- if (!BN_rshift(q, p, 2)) goto end;
- q->neg = 0;
- if (!BN_add_word(q, 1)) goto end;
- if (!BN_mod_exp(ret, A, q, p, ctx)) goto end;
- err = 0;
- goto vrfy;
- }
-
- if (e == 2)
- {
- /* |p| == 5 (mod 8)
- *
- * In this case 2 is always a non-square since
- * Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime.
- * So if a really is a square, then 2*a is a non-square.
- * Thus for
- * b := (2*a)^((|p|-5)/8),
- * i := (2*a)*b^2
- * we have
- * i^2 = (2*a)^((1 + (|p|-5)/4)*2)
- * = (2*a)^((p-1)/2)
- * = -1;
- * so if we set
- * x := a*b*(i-1),
- * then
- * x^2 = a^2 * b^2 * (i^2 - 2*i + 1)
- * = a^2 * b^2 * (-2*i)
- * = a*(-i)*(2*a*b^2)
- * = a*(-i)*i
- * = a.
- *
- * (This is due to A.O.L. Atkin,
- * <URL: http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>,
- * November 1992.)
- */
-
- /* t := 2*a */
- if (!BN_mod_lshift1_quick(t, A, p)) goto end;
-
- /* b := (2*a)^((|p|-5)/8) */
- if (!BN_rshift(q, p, 3)) goto end;
- q->neg = 0;
- if (!BN_mod_exp(b, t, q, p, ctx)) goto end;
-
- /* y := b^2 */
- if (!BN_mod_sqr(y, b, p, ctx)) goto end;
-
- /* t := (2*a)*b^2 - 1*/
- if (!BN_mod_mul(t, t, y, p, ctx)) goto end;
- if (!BN_sub_word(t, 1)) goto end;
-
- /* x = a*b*t */
- if (!BN_mod_mul(x, A, b, p, ctx)) goto end;
- if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
-
- if (!BN_copy(ret, x)) goto end;
- err = 0;
- goto vrfy;
- }
-
- /* e > 2, so we really have to use the Tonelli/Shanks algorithm.
- * First, find some y that is not a square. */
- if (!BN_copy(q, p)) goto end; /* use 'q' as temp */
- q->neg = 0;
- i = 2;
- do
- {
- /* For efficiency, try small numbers first;
- * if this fails, try random numbers.
- */
- if (i < 22)
- {
- if (!BN_set_word(y, i)) goto end;
- }
- else
- {
- if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0)) goto end;
- if (BN_ucmp(y, p) >= 0)
- {
- if (!(p->neg ? BN_add : BN_sub)(y, y, p)) goto end;
- }
- /* now 0 <= y < |p| */
- if (BN_is_zero(y))
- if (!BN_set_word(y, i)) goto end;
- }
-
- r = BN_kronecker(y, q, ctx); /* here 'q' is |p| */
- if (r < -1) goto end;
- if (r == 0)
- {
- /* m divides p */
- BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
- goto end;
- }
- }
- while (r == 1 && ++i < 82);
-
- if (r != -1)
- {
- /* Many rounds and still no non-square -- this is more likely
- * a bug than just bad luck.
- * Even if p is not prime, we should have found some y
- * such that r == -1.
- */
- BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);
- goto end;
- }
-
- /* Here's our actual 'q': */
- if (!BN_rshift(q, q, e)) goto end;
-
- /* Now that we have some non-square, we can find an element
- * of order 2^e by computing its q'th power. */
- if (!BN_mod_exp(y, y, q, p, ctx)) goto end;
- if (BN_is_one(y))
- {
- BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
- goto end;
- }
-
- /* Now we know that (if p is indeed prime) there is an integer
- * k, 0 <= k < 2^e, such that
- *
- * a^q * y^k == 1 (mod p).
- *
- * As a^q is a square and y is not, k must be even.
- * q+1 is even, too, so there is an element
- *
- * X := a^((q+1)/2) * y^(k/2),
- *
- * and it satisfies
- *
- * X^2 = a^q * a * y^k
- * = a,
- *
- * so it is the square root that we are looking for.
- */
-
- /* t := (q-1)/2 (note that q is odd) */
- if (!BN_rshift1(t, q)) goto end;
-
- /* x := a^((q-1)/2) */
- if (BN_is_zero(t)) /* special case: p = 2^e + 1 */
- {
- if (!BN_nnmod(t, A, p, ctx)) goto end;
- if (BN_is_zero(t))
- {
- /* special case: a == 0 (mod p) */
- BN_zero(ret);
- err = 0;
- goto end;
- }
- else
- if (!BN_one(x)) goto end;
- }
- else
- {
- if (!BN_mod_exp(x, A, t, p, ctx)) goto end;
- if (BN_is_zero(x))
- {
- /* special case: a == 0 (mod p) */
- BN_zero(ret);
- err = 0;
- goto end;
- }
- }
-
- /* b := a*x^2 (= a^q) */
- if (!BN_mod_sqr(b, x, p, ctx)) goto end;
- if (!BN_mod_mul(b, b, A, p, ctx)) goto end;
-
- /* x := a*x (= a^((q+1)/2)) */
- if (!BN_mod_mul(x, x, A, p, ctx)) goto end;
-
- while (1)
- {
- /* Now b is a^q * y^k for some even k (0 <= k < 2^E
- * where E refers to the original value of e, which we
- * don't keep in a variable), and x is a^((q+1)/2) * y^(k/2).
- *
- * We have a*b = x^2,
- * y^2^(e-1) = -1,
- * b^2^(e-1) = 1.
- */
-
- if (BN_is_one(b))
- {
- if (!BN_copy(ret, x)) goto end;
- err = 0;
- goto vrfy;
- }
-
-
- /* find smallest i such that b^(2^i) = 1 */
- i = 1;
- if (!BN_mod_sqr(t, b, p, ctx)) goto end;
- while (!BN_is_one(t))
- {
- i++;
- if (i == e)
- {
- BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
- goto end;
- }
- if (!BN_mod_mul(t, t, t, p, ctx)) goto end;
- }
-
-
- /* t := y^2^(e - i - 1) */
- if (!BN_copy(t, y)) goto end;
- for (j = e - i - 1; j > 0; j--)
- {
- if (!BN_mod_sqr(t, t, p, ctx)) goto end;
- }
- if (!BN_mod_mul(y, t, t, p, ctx)) goto end;
- if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
- if (!BN_mod_mul(b, b, y, p, ctx)) goto end;
- e = i;
- }
+{
+ BIGNUM *ret = in;
+ int err = 1;
+ int r;
+ BIGNUM *A, *b, *q, *t, *x, *y;
+ int e, i, j;
+
+ if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {
+ if (BN_abs_is_word(p, 2)) {
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL)
+ goto end;
+ if (!BN_set_word(ret, BN_is_bit_set(a, 0))) {
+ if (ret != in)
+ BN_free(ret);
+ return NULL;
+ }
+ bn_check_top(ret);
+ return ret;
+ }
+
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ return (NULL);
+ }
+
+ if (BN_is_zero(a) || BN_is_one(a)) {
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL)
+ goto end;
+ if (!BN_set_word(ret, BN_is_one(a))) {
+ if (ret != in)
+ BN_free(ret);
+ return NULL;
+ }
+ bn_check_top(ret);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ q = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL)
+ goto end;
+
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL)
+ goto end;
+
+ /* A = a mod p */
+ if (!BN_nnmod(A, a, p, ctx))
+ goto end;
+
+ /* now write |p| - 1 as 2^e*q where q is odd */
+ e = 1;
+ while (!BN_is_bit_set(p, e))
+ e++;
+ /* we'll set q later (if needed) */
+
+ if (e == 1) {
+ /*-
+ * The easy case: (|p|-1)/2 is odd, so 2 has an inverse
+ * modulo (|p|-1)/2, and square roots can be computed
+ * directly by modular exponentiation.
+ * We have
+ * 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2),
+ * so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1.
+ */
+ if (!BN_rshift(q, p, 2))
+ goto end;
+ q->neg = 0;
+ if (!BN_add_word(q, 1))
+ goto end;
+ if (!BN_mod_exp(ret, A, q, p, ctx))
+ goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+ if (e == 2) {
+ /*-
+ * |p| == 5 (mod 8)
+ *
+ * In this case 2 is always a non-square since
+ * Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime.
+ * So if a really is a square, then 2*a is a non-square.
+ * Thus for
+ * b := (2*a)^((|p|-5)/8),
+ * i := (2*a)*b^2
+ * we have
+ * i^2 = (2*a)^((1 + (|p|-5)/4)*2)
+ * = (2*a)^((p-1)/2)
+ * = -1;
+ * so if we set
+ * x := a*b*(i-1),
+ * then
+ * x^2 = a^2 * b^2 * (i^2 - 2*i + 1)
+ * = a^2 * b^2 * (-2*i)
+ * = a*(-i)*(2*a*b^2)
+ * = a*(-i)*i
+ * = a.
+ *
+ * (This is due to A.O.L. Atkin,
+ * <URL: http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>,
+ * November 1992.)
+ */
+
+ /* t := 2*a */
+ if (!BN_mod_lshift1_quick(t, A, p))
+ goto end;
+
+ /* b := (2*a)^((|p|-5)/8) */
+ if (!BN_rshift(q, p, 3))
+ goto end;
+ q->neg = 0;
+ if (!BN_mod_exp(b, t, q, p, ctx))
+ goto end;
+
+ /* y := b^2 */
+ if (!BN_mod_sqr(y, b, p, ctx))
+ goto end;
+
+ /* t := (2*a)*b^2 - 1 */
+ if (!BN_mod_mul(t, t, y, p, ctx))
+ goto end;
+ if (!BN_sub_word(t, 1))
+ goto end;
+
+ /* x = a*b*t */
+ if (!BN_mod_mul(x, A, b, p, ctx))
+ goto end;
+ if (!BN_mod_mul(x, x, t, p, ctx))
+ goto end;
+
+ if (!BN_copy(ret, x))
+ goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+ /*
+ * e > 2, so we really have to use the Tonelli/Shanks algorithm. First,
+ * find some y that is not a square.
+ */
+ if (!BN_copy(q, p))
+ goto end; /* use 'q' as temp */
+ q->neg = 0;
+ i = 2;
+ do {
+ /*
+ * For efficiency, try small numbers first; if this fails, try random
+ * numbers.
+ */
+ if (i < 22) {
+ if (!BN_set_word(y, i))
+ goto end;
+ } else {
+ if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0))
+ goto end;
+ if (BN_ucmp(y, p) >= 0) {
+ if (!(p->neg ? BN_add : BN_sub) (y, y, p))
+ goto end;
+ }
+ /* now 0 <= y < |p| */
+ if (BN_is_zero(y))
+ if (!BN_set_word(y, i))
+ goto end;
+ }
+
+ r = BN_kronecker(y, q, ctx); /* here 'q' is |p| */
+ if (r < -1)
+ goto end;
+ if (r == 0) {
+ /* m divides p */
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ goto end;
+ }
+ }
+ while (r == 1 && ++i < 82);
+
+ if (r != -1) {
+ /*
+ * Many rounds and still no non-square -- this is more likely a bug
+ * than just bad luck. Even if p is not prime, we should have found
+ * some y such that r == -1.
+ */
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);
+ goto end;
+ }
+
+ /* Here's our actual 'q': */
+ if (!BN_rshift(q, q, e))
+ goto end;
+
+ /*
+ * Now that we have some non-square, we can find an element of order 2^e
+ * by computing its q'th power.
+ */
+ if (!BN_mod_exp(y, y, q, p, ctx))
+ goto end;
+ if (BN_is_one(y)) {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ goto end;
+ }
+
+ /*-
+ * Now we know that (if p is indeed prime) there is an integer
+ * k, 0 <= k < 2^e, such that
+ *
+ * a^q * y^k == 1 (mod p).
+ *
+ * As a^q is a square and y is not, k must be even.
+ * q+1 is even, too, so there is an element
+ *
+ * X := a^((q+1)/2) * y^(k/2),
+ *
+ * and it satisfies
+ *
+ * X^2 = a^q * a * y^k
+ * = a,
+ *
+ * so it is the square root that we are looking for.
+ */
+
+ /* t := (q-1)/2 (note that q is odd) */
+ if (!BN_rshift1(t, q))
+ goto end;
+
+ /* x := a^((q-1)/2) */
+ if (BN_is_zero(t)) { /* special case: p = 2^e + 1 */
+ if (!BN_nnmod(t, A, p, ctx))
+ goto end;
+ if (BN_is_zero(t)) {
+ /* special case: a == 0 (mod p) */
+ BN_zero(ret);
+ err = 0;
+ goto end;
+ } else if (!BN_one(x))
+ goto end;
+ } else {
+ if (!BN_mod_exp(x, A, t, p, ctx))
+ goto end;
+ if (BN_is_zero(x)) {
+ /* special case: a == 0 (mod p) */
+ BN_zero(ret);
+ err = 0;
+ goto end;
+ }
+ }
+
+ /* b := a*x^2 (= a^q) */
+ if (!BN_mod_sqr(b, x, p, ctx))
+ goto end;
+ if (!BN_mod_mul(b, b, A, p, ctx))
+ goto end;
+
+ /* x := a*x (= a^((q+1)/2)) */
+ if (!BN_mod_mul(x, x, A, p, ctx))
+ goto end;
+
+ while (1) {
+ /*-
+ * Now b is a^q * y^k for some even k (0 <= k < 2^E
+ * where E refers to the original value of e, which we
+ * don't keep in a variable), and x is a^((q+1)/2) * y^(k/2).
+ *
+ * We have a*b = x^2,
+ * y^2^(e-1) = -1,
+ * b^2^(e-1) = 1.
+ */
+
+ if (BN_is_one(b)) {
+ if (!BN_copy(ret, x))
+ goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+ /* find smallest i such that b^(2^i) = 1 */
+ i = 1;
+ if (!BN_mod_sqr(t, b, p, ctx))
+ goto end;
+ while (!BN_is_one(t)) {
+ i++;
+ if (i == e) {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+ goto end;
+ }
+ if (!BN_mod_mul(t, t, t, p, ctx))
+ goto end;
+ }
+
+ /* t := y^2^(e - i - 1) */
+ if (!BN_copy(t, y))
+ goto end;
+ for (j = e - i - 1; j > 0; j--) {
+ if (!BN_mod_sqr(t, t, p, ctx))
+ goto end;
+ }
+ if (!BN_mod_mul(y, t, t, p, ctx))
+ goto end;
+ if (!BN_mod_mul(x, x, t, p, ctx))
+ goto end;
+ if (!BN_mod_mul(b, b, y, p, ctx))
+ goto end;
+ e = i;
+ }
vrfy:
- if (!err)
- {
- /* verify the result -- the input might have been not a square
- * (test added in 0.9.8) */
-
- if (!BN_mod_sqr(x, ret, p, ctx))
- err = 1;
-
- if (!err && 0 != BN_cmp(x, A))
- {
- BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
- err = 1;
- }
- }
+ if (!err) {
+ /*
+ * verify the result -- the input might have been not a square (test
+ * added in 0.9.8)
+ */
+
+ if (!BN_mod_sqr(x, ret, p, ctx))
+ err = 1;
+
+ if (!err && 0 != BN_cmp(x, A)) {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+ err = 1;
+ }
+ }
end:
- if (err)
- {
- if (ret != NULL && ret != in)
- {
- BN_clear_free(ret);
- }
- ret = NULL;
- }
- BN_CTX_end(ctx);
- bn_check_top(ret);
- return ret;
- }
+ if (err) {
+ if (ret != NULL && ret != in) {
+ BN_clear_free(ret);
+ }
+ ret = NULL;
+ }
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return ret;
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_word.c b/Cryptlib/OpenSSL/crypto/bn/bn_word.c
index de83a15b..b031a60b 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_word.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_word.c
@@ -5,21 +5,21 @@
* 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:
@@ -34,10 +34,10 @@
* 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
+ * 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
@@ -49,7 +49,7 @@
* 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
@@ -61,178 +61,167 @@
#include "bn_lcl.h"
BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
- {
+{
#ifndef BN_LLONG
- BN_ULONG ret=0;
+ BN_ULONG ret = 0;
#else
- BN_ULLONG ret=0;
+ BN_ULLONG ret = 0;
#endif
- int i;
+ int i;
- if (w == 0)
- return (BN_ULONG)-1;
+ if (w == 0)
+ return (BN_ULONG)-1;
- bn_check_top(a);
- w&=BN_MASK2;
- for (i=a->top-1; i>=0; i--)
- {
+ bn_check_top(a);
+ w &= BN_MASK2;
+ for (i = a->top - 1; i >= 0; i--) {
#ifndef BN_LLONG
- ret=((ret<<BN_BITS4)|((a->d[i]>>BN_BITS4)&BN_MASK2l))%w;
- ret=((ret<<BN_BITS4)|(a->d[i]&BN_MASK2l))%w;
+ ret = ((ret << BN_BITS4) | ((a->d[i] >> BN_BITS4) & BN_MASK2l)) % w;
+ ret = ((ret << BN_BITS4) | (a->d[i] & BN_MASK2l)) % w;
#else
- ret=(BN_ULLONG)(((ret<<(BN_ULLONG)BN_BITS2)|a->d[i])%
- (BN_ULLONG)w);
+ ret = (BN_ULLONG) (((ret << (BN_ULLONG) BN_BITS2) | a->d[i]) %
+ (BN_ULLONG) w);
#endif
- }
- return((BN_ULONG)ret);
- }
+ }
+ return ((BN_ULONG)ret);
+}
BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w)
- {
- BN_ULONG ret = 0;
- int i, j;
-
- bn_check_top(a);
- w &= BN_MASK2;
-
- if (!w)
- /* actually this an error (division by zero) */
- return (BN_ULONG)-1;
- if (a->top == 0)
- return 0;
-
- /* normalize input (so bn_div_words doesn't complain) */
- j = BN_BITS2 - BN_num_bits_word(w);
- w <<= j;
- if (!BN_lshift(a, a, j))
- return (BN_ULONG)-1;
-
- for (i=a->top-1; i>=0; i--)
- {
- BN_ULONG l,d;
-
- l=a->d[i];
- d=bn_div_words(ret,l,w);
- ret=(l-((d*w)&BN_MASK2))&BN_MASK2;
- a->d[i]=d;
- }
- if ((a->top > 0) && (a->d[a->top-1] == 0))
- a->top--;
- ret >>= j;
- bn_check_top(a);
- return(ret);
- }
+{
+ BN_ULONG ret = 0;
+ int i, j;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ if (!w)
+ /* actually this an error (division by zero) */
+ return (BN_ULONG)-1;
+ if (a->top == 0)
+ return 0;
+
+ /* normalize input (so bn_div_words doesn't complain) */
+ j = BN_BITS2 - BN_num_bits_word(w);
+ w <<= j;
+ if (!BN_lshift(a, a, j))
+ return (BN_ULONG)-1;
+
+ for (i = a->top - 1; i >= 0; i--) {
+ BN_ULONG l, d;
+
+ l = a->d[i];
+ d = bn_div_words(ret, l, w);
+ ret = (l - ((d * w) & BN_MASK2)) & BN_MASK2;
+ a->d[i] = d;
+ }
+ if ((a->top > 0) && (a->d[a->top - 1] == 0))
+ a->top--;
+ ret >>= j;
+ bn_check_top(a);
+ return (ret);
+}
int BN_add_word(BIGNUM *a, BN_ULONG w)
- {
- BN_ULONG l;
- int i;
-
- bn_check_top(a);
- w &= BN_MASK2;
-
- /* degenerate case: w is zero */
- if (!w) return 1;
- /* degenerate case: a is zero */
- if(BN_is_zero(a)) return BN_set_word(a, w);
- /* handle 'a' when negative */
- if (a->neg)
- {
- a->neg=0;
- i=BN_sub_word(a,w);
- if (!BN_is_zero(a))
- a->neg=!(a->neg);
- return(i);
- }
- for (i=0;w!=0 && i<a->top;i++)
- {
- a->d[i] = l = (a->d[i]+w)&BN_MASK2;
- w = (w>l)?1:0;
- }
- if (w && i==a->top)
- {
- if (bn_wexpand(a,a->top+1) == NULL) return 0;
- a->top++;
- a->d[i]=w;
- }
- bn_check_top(a);
- return(1);
- }
+{
+ BN_ULONG l;
+ int i;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ /* degenerate case: w is zero */
+ if (!w)
+ return 1;
+ /* degenerate case: a is zero */
+ if (BN_is_zero(a))
+ return BN_set_word(a, w);
+ /* handle 'a' when negative */
+ if (a->neg) {
+ a->neg = 0;
+ i = BN_sub_word(a, w);
+ if (!BN_is_zero(a))
+ a->neg = !(a->neg);
+ return (i);
+ }
+ for (i = 0; w != 0 && i < a->top; i++) {
+ a->d[i] = l = (a->d[i] + w) & BN_MASK2;
+ w = (w > l) ? 1 : 0;
+ }
+ if (w && i == a->top) {
+ if (bn_wexpand(a, a->top + 1) == NULL)
+ return 0;
+ a->top++;
+ a->d[i] = w;
+ }
+ bn_check_top(a);
+ return (1);
+}
int BN_sub_word(BIGNUM *a, BN_ULONG w)
- {
- int i;
-
- bn_check_top(a);
- w &= BN_MASK2;
-
- /* degenerate case: w is zero */
- if (!w) return 1;
- /* degenerate case: a is zero */
- if(BN_is_zero(a))
- {
- i = BN_set_word(a,w);
- if (i != 0)
- BN_set_negative(a, 1);
- return i;
- }
- /* handle 'a' when negative */
- if (a->neg)
- {
- a->neg=0;
- i=BN_add_word(a,w);
- a->neg=1;
- return(i);
- }
-
- if ((a->top == 1) && (a->d[0] < w))
- {
- a->d[0]=w-a->d[0];
- a->neg=1;
- return(1);
- }
- i=0;
- for (;;)
- {
- if (a->d[i] >= w)
- {
- a->d[i]-=w;
- break;
- }
- else
- {
- a->d[i]=(a->d[i]-w)&BN_MASK2;
- i++;
- w=1;
- }
- }
- if ((a->d[i] == 0) && (i == (a->top-1)))
- a->top--;
- bn_check_top(a);
- return(1);
- }
+{
+ int i;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ /* degenerate case: w is zero */
+ if (!w)
+ return 1;
+ /* degenerate case: a is zero */
+ if (BN_is_zero(a)) {
+ i = BN_set_word(a, w);
+ if (i != 0)
+ BN_set_negative(a, 1);
+ return i;
+ }
+ /* handle 'a' when negative */
+ if (a->neg) {
+ a->neg = 0;
+ i = BN_add_word(a, w);
+ a->neg = 1;
+ return (i);
+ }
+
+ if ((a->top == 1) && (a->d[0] < w)) {
+ a->d[0] = w - a->d[0];
+ a->neg = 1;
+ return (1);
+ }
+ i = 0;
+ for (;;) {
+ if (a->d[i] >= w) {
+ a->d[i] -= w;
+ break;
+ } else {
+ a->d[i] = (a->d[i] - w) & BN_MASK2;
+ i++;
+ w = 1;
+ }
+ }
+ if ((a->d[i] == 0) && (i == (a->top - 1)))
+ a->top--;
+ bn_check_top(a);
+ return (1);
+}
int BN_mul_word(BIGNUM *a, BN_ULONG w)
- {
- BN_ULONG ll;
-
- bn_check_top(a);
- w&=BN_MASK2;
- if (a->top)
- {
- if (w == 0)
- BN_zero(a);
- else
- {
- ll=bn_mul_words(a->d,a->d,a->top,w);
- if (ll)
- {
- if (bn_wexpand(a,a->top+1) == NULL) return(0);
- a->d[a->top++]=ll;
- }
- }
- }
- bn_check_top(a);
- return(1);
- }
-
+{
+ BN_ULONG ll;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+ if (a->top) {
+ if (w == 0)
+ BN_zero(a);
+ else {
+ ll = bn_mul_words(a->d, a->d, a->top, w);
+ if (ll) {
+ if (bn_wexpand(a, a->top + 1) == NULL)
+ return (0);
+ a->d[a->top++] = ll;
+ }
+ }
+ }
+ bn_check_top(a);
+ return (1);
+}
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c b/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c
index 04c5c874..6d76b128 100644
--- a/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c
+++ b/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c
@@ -1,6 +1,7 @@
/* bn_x931p.c */
-/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL
- * project 2005.
+/*
+ * Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL project
+ * 2005.
*/
/* ====================================================================
* Copyright (c) 2005 The OpenSSL Project. All rights reserved.
@@ -10,7 +11,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -61,212 +62,213 @@
/* X9.31 routines for prime derivation */
-/* X9.31 prime derivation. This is used to generate the primes pi
- * (p1, p2, q1, q2) from a parameter Xpi by checking successive odd
- * integers.
+/*
+ * X9.31 prime derivation. This is used to generate the primes pi (p1, p2,
+ * q1, q2) from a parameter Xpi by checking successive odd integers.
*/
static int bn_x931_derive_pi(BIGNUM *pi, const BIGNUM *Xpi, BN_CTX *ctx,
- BN_GENCB *cb)
- {
- int i = 0;
- if (!BN_copy(pi, Xpi))
- return 0;
- if (!BN_is_odd(pi) && !BN_add_word(pi, 1))
- return 0;
- for(;;)
- {
- i++;
- BN_GENCB_call(cb, 0, i);
- /* NB 27 MR is specificed in X9.31 */
- if (BN_is_prime_fasttest_ex(pi, 27, ctx, 1, cb))
- break;
- if (!BN_add_word(pi, 2))
- return 0;
- }
- BN_GENCB_call(cb, 2, i);
- return 1;
- }
-
-/* This is the main X9.31 prime derivation function. From parameters
- * Xp1, Xp2 and Xp derive the prime p. If the parameters p1 or p2 are
- * not NULL they will be returned too: this is needed for testing.
+ BN_GENCB *cb)
+{
+ int i = 0;
+ if (!BN_copy(pi, Xpi))
+ return 0;
+ if (!BN_is_odd(pi) && !BN_add_word(pi, 1))
+ return 0;
+ for (;;) {
+ i++;
+ BN_GENCB_call(cb, 0, i);
+ /* NB 27 MR is specificed in X9.31 */
+ if (BN_is_prime_fasttest_ex(pi, 27, ctx, 1, cb))
+ break;
+ if (!BN_add_word(pi, 2))
+ return 0;
+ }
+ BN_GENCB_call(cb, 2, i);
+ return 1;
+}
+
+/*
+ * This is the main X9.31 prime derivation function. From parameters Xp1, Xp2
+ * and Xp derive the prime p. If the parameters p1 or p2 are not NULL they
+ * will be returned too: this is needed for testing.
*/
int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
- const BIGNUM *Xp, const BIGNUM *Xp1, const BIGNUM *Xp2,
- const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb)
- {
- int ret = 0;
+ const BIGNUM *Xp, const BIGNUM *Xp1,
+ const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx,
+ BN_GENCB *cb)
+{
+ int ret = 0;
- BIGNUM *t, *p1p2, *pm1;
+ BIGNUM *t, *p1p2, *pm1;
- /* Only even e supported */
- if (!BN_is_odd(e))
- return 0;
+ /* Only even e supported */
+ if (!BN_is_odd(e))
+ return 0;
- BN_CTX_start(ctx);
- if (!p1)
- p1 = BN_CTX_get(ctx);
+ BN_CTX_start(ctx);
+ if (!p1)
+ p1 = BN_CTX_get(ctx);
- if (!p2)
- p2 = BN_CTX_get(ctx);
+ if (!p2)
+ p2 = BN_CTX_get(ctx);
- t = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
- p1p2 = BN_CTX_get(ctx);
+ p1p2 = BN_CTX_get(ctx);
- pm1 = BN_CTX_get(ctx);
+ pm1 = BN_CTX_get(ctx);
- if (!bn_x931_derive_pi(p1, Xp1, ctx, cb))
- goto err;
+ if (!bn_x931_derive_pi(p1, Xp1, ctx, cb))
+ goto err;
- if (!bn_x931_derive_pi(p2, Xp2, ctx, cb))
- goto err;
+ if (!bn_x931_derive_pi(p2, Xp2, ctx, cb))
+ goto err;
- if (!BN_mul(p1p2, p1, p2, ctx))
- goto err;
+ if (!BN_mul(p1p2, p1, p2, ctx))
+ goto err;
- /* First set p to value of Rp */
+ /* First set p to value of Rp */
- if (!BN_mod_inverse(p, p2, p1, ctx))
- goto err;
+ if (!BN_mod_inverse(p, p2, p1, ctx))
+ goto err;
- if (!BN_mul(p, p, p2, ctx))
- goto err;
+ if (!BN_mul(p, p, p2, ctx))
+ goto err;
- if (!BN_mod_inverse(t, p1, p2, ctx))
- goto err;
+ if (!BN_mod_inverse(t, p1, p2, ctx))
+ goto err;
- if (!BN_mul(t, t, p1, ctx))
- goto err;
+ if (!BN_mul(t, t, p1, ctx))
+ goto err;
- if (!BN_sub(p, p, t))
- goto err;
+ if (!BN_sub(p, p, t))
+ goto err;
- if (p->neg && !BN_add(p, p, p1p2))
- goto err;
+ if (p->neg && !BN_add(p, p, p1p2))
+ goto err;
- /* p now equals Rp */
+ /* p now equals Rp */
- if (!BN_mod_sub(p, p, Xp, p1p2, ctx))
- goto err;
+ if (!BN_mod_sub(p, p, Xp, p1p2, ctx))
+ goto err;
- if (!BN_add(p, p, Xp))
- goto err;
+ if (!BN_add(p, p, Xp))
+ goto err;
- /* p now equals Yp0 */
+ /* p now equals Yp0 */
- for (;;)
- {
- int i = 1;
- BN_GENCB_call(cb, 0, i++);
- if (!BN_copy(pm1, p))
- goto err;
- if (!BN_sub_word(pm1, 1))
- goto err;
- if (!BN_gcd(t, pm1, e, ctx))
- goto err;
- if (BN_is_one(t)
- /* X9.31 specifies 8 MR and 1 Lucas test or any prime test
- * offering similar or better guarantees 50 MR is considerably
- * better.
- */
- && BN_is_prime_fasttest_ex(p, 50, ctx, 1, cb))
- break;
- if (!BN_add(p, p, p1p2))
- goto err;
- }
+ for (;;) {
+ int i = 1;
+ BN_GENCB_call(cb, 0, i++);
+ if (!BN_copy(pm1, p))
+ goto err;
+ if (!BN_sub_word(pm1, 1))
+ goto err;
+ if (!BN_gcd(t, pm1, e, ctx))
+ goto err;
+ if (BN_is_one(t)
+ /*
+ * X9.31 specifies 8 MR and 1 Lucas test or any prime test
+ * offering similar or better guarantees 50 MR is considerably
+ * better.
+ */
+ && BN_is_prime_fasttest_ex(p, 50, ctx, 1, cb))
+ break;
+ if (!BN_add(p, p, p1p2))
+ goto err;
+ }
- BN_GENCB_call(cb, 3, 0);
+ BN_GENCB_call(cb, 3, 0);
- ret = 1;
+ ret = 1;
- err:
+ err:
- BN_CTX_end(ctx);
+ BN_CTX_end(ctx);
- return ret;
- }
+ return ret;
+}
-/* Generate pair of paramters Xp, Xq for X9.31 prime generation.
- * Note: nbits paramter is sum of number of bits in both.
+/*
+ * Generate pair of paramters Xp, Xq for X9.31 prime generation. Note: nbits
+ * paramter is sum of number of bits in both.
*/
int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx)
- {
- BIGNUM *t;
- int i;
- /* Number of bits for each prime is of the form
- * 512+128s for s = 0, 1, ...
- */
- if ((nbits < 1024) || (nbits & 0xff))
- return 0;
- nbits >>= 1;
- /* The random value Xp must be between sqrt(2) * 2^(nbits-1) and
- * 2^nbits - 1. By setting the top two bits we ensure that the lower
- * bound is exceeded.
- */
- if (!BN_rand(Xp, nbits, 1, 0))
- return 0;
-
- BN_CTX_start(ctx);
- t = BN_CTX_get(ctx);
-
- for (i = 0; i < 1000; i++)
- {
- if (!BN_rand(Xq, nbits, 1, 0))
- return 0;
- /* Check that |Xp - Xq| > 2^(nbits - 100) */
- BN_sub(t, Xp, Xq);
- if (BN_num_bits(t) > (nbits - 100))
- break;
- }
-
- BN_CTX_end(ctx);
-
- if (i < 1000)
- return 1;
-
- return 0;
-
- }
-
-/* Generate primes using X9.31 algorithm. Of the values p, p1, p2, Xp1
- * and Xp2 only 'p' needs to be non-NULL. If any of the others are not NULL
- * the relevant parameter will be stored in it.
- *
- * Due to the fact that |Xp - Xq| > 2^(nbits - 100) must be satisfied Xp and Xq
- * are generated using the previous function and supplied as input.
+{
+ BIGNUM *t;
+ int i;
+ /*
+ * Number of bits for each prime is of the form 512+128s for s = 0, 1,
+ * ...
+ */
+ if ((nbits < 1024) || (nbits & 0xff))
+ return 0;
+ nbits >>= 1;
+ /*
+ * The random value Xp must be between sqrt(2) * 2^(nbits-1) and 2^nbits
+ * - 1. By setting the top two bits we ensure that the lower bound is
+ * exceeded.
+ */
+ if (!BN_rand(Xp, nbits, 1, 0))
+ return 0;
+
+ BN_CTX_start(ctx);
+ t = BN_CTX_get(ctx);
+
+ for (i = 0; i < 1000; i++) {
+ if (!BN_rand(Xq, nbits, 1, 0))
+ return 0;
+ /* Check that |Xp - Xq| > 2^(nbits - 100) */
+ BN_sub(t, Xp, Xq);
+ if (BN_num_bits(t) > (nbits - 100))
+ break;
+ }
+
+ BN_CTX_end(ctx);
+
+ if (i < 1000)
+ return 1;
+
+ return 0;
+
+}
+
+/*
+ * Generate primes using X9.31 algorithm. Of the values p, p1, p2, Xp1 and
+ * Xp2 only 'p' needs to be non-NULL. If any of the others are not NULL the
+ * relevant parameter will be stored in it. Due to the fact that |Xp - Xq| >
+ * 2^(nbits - 100) must be satisfied Xp and Xq are generated using the
+ * previous function and supplied as input.
*/
int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
- BIGNUM *Xp1, BIGNUM *Xp2,
- const BIGNUM *Xp,
- const BIGNUM *e, BN_CTX *ctx,
- BN_GENCB *cb)
- {
- int ret = 0;
-
- BN_CTX_start(ctx);
- if (!Xp1)
- Xp1 = BN_CTX_get(ctx);
- if (!Xp2)
- Xp2 = BN_CTX_get(ctx);
+ BIGNUM *Xp1, BIGNUM *Xp2,
+ const BIGNUM *Xp,
+ const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb)
+{
+ int ret = 0;
- if (!BN_rand(Xp1, 101, 0, 0))
- goto error;
- if (!BN_rand(Xp2, 101, 0, 0))
- goto error;
- if (!BN_X931_derive_prime_ex(p, p1, p2, Xp, Xp1, Xp2, e, ctx, cb))
- goto error;
+ BN_CTX_start(ctx);
+ if (!Xp1)
+ Xp1 = BN_CTX_get(ctx);
+ if (!Xp2)
+ Xp2 = BN_CTX_get(ctx);
- ret = 1;
+ if (!BN_rand(Xp1, 101, 0, 0))
+ goto error;
+ if (!BN_rand(Xp2, 101, 0, 0))
+ goto error;
+ if (!BN_X931_derive_prime_ex(p, p1, p2, Xp, Xp1, Xp2, e, ctx, cb))
+ goto error;
- error:
- BN_CTX_end(ctx);
+ ret = 1;
- return ret;
+ error:
+ BN_CTX_end(ctx);
- }
+ return ret;
+}