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Diffstat (limited to 'crypto/bn/bn_gf2m.c')
-rw-r--r--crypto/bn/bn_gf2m.c153
1 files changed, 48 insertions, 105 deletions
diff --git a/crypto/bn/bn_gf2m.c b/crypto/bn/bn_gf2m.c
index 8a945f043f..f7551dacd9 100644
--- a/crypto/bn/bn_gf2m.c
+++ b/crypto/bn/bn_gf2m.c
@@ -121,74 +121,12 @@ static const BN_ULONG SQR_tb[16] =
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) \
- SQR_tb[(w) >> 12 & 0xF] << 8 | SQR_tb[(w) >> 8 & 0xF]
-#define SQR0(w) \
- SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
-#endif
-#ifdef EIGHT_BIT
-#define SQR1(w) \
- SQR_tb[(w) >> 4 & 0xF]
-#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.
*/
-#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;
- }
-#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;
- }
-#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)
{
@@ -320,7 +258,7 @@ int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
/* 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 BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[])
{
int j, k;
int n, dN, d0, d1;
@@ -384,7 +322,11 @@ int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[])
if (zz == 0) break;
d1 = BN_BITS2 - d0;
- if (d0) z[dN] = (z[dN] << d1) >> d1; /* clear up the top d1 bits */
+ /* 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++)
@@ -417,11 +359,11 @@ int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[])
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;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
bn_check_top(a);
bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
ret = BN_GF2m_poly2arr(p, arr, max);
if (!ret || ret > max)
{
@@ -439,7 +381,7 @@ err:
/* 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 BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
{
int zlen, i, j, k, ret = 0;
BIGNUM *s;
@@ -495,12 +437,12 @@ err:
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;
+ const int max = BN_num_bits(p) + 1;
+ 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;
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
ret = BN_GF2m_poly2arr(p, arr, max);
if (!ret || ret > max)
{
@@ -516,7 +458,7 @@ err:
/* 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 BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
{
int i, ret = 0;
BIGNUM *s;
@@ -551,12 +493,12 @@ err:
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;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
bn_check_top(a);
bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
ret = BN_GF2m_poly2arr(p, arr, max);
if (!ret || ret > max)
{
@@ -638,7 +580,7 @@ err:
* 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)
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const int p[], BN_CTX *ctx)
{
BIGNUM *field;
int ret = 0;
@@ -764,7 +706,7 @@ err:
* 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)
+int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx, const int p[], BN_CTX *ctx)
{
BIGNUM *field;
int ret = 0;
@@ -789,7 +731,7 @@ err:
* 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 BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
{
int ret = 0, i, n;
BIGNUM *u;
@@ -835,12 +777,12 @@ err:
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;
+ const int max = BN_num_bits(p) + 1;
+ 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;
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
ret = BN_GF2m_poly2arr(p, arr, max);
if (!ret || ret > max)
{
@@ -858,7 +800,7 @@ err:
* 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 BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
{
int ret = 0;
BIGNUM *u;
@@ -894,15 +836,15 @@ err:
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;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
bn_check_top(a);
bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
+ if ((arr = (int *)OPENSSL_malloc(sizeof(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);
+ BNerr(BN_F_BN_GF2M_MOD_SQRT,BN_R_INVALID_LENGTH);
goto err;
}
ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx);
@@ -915,10 +857,9 @@ err:
/* 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 BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_, const int p[], BN_CTX *ctx)
{
- int ret = 0, count = 0;
- unsigned int j;
+ int ret = 0, count = 0, j;
BIGNUM *a, *z, *rho, *w, *w2, *tmp;
bn_check_top(a_);
@@ -1013,11 +954,11 @@ err:
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;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
bn_check_top(a);
bn_check_top(p);
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) *
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) *
max)) == NULL) goto err;
ret = BN_GF2m_poly2arr(p, arr, max);
if (!ret || ret > max)
@@ -1033,20 +974,17 @@ err:
}
/* 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.
+ * ( \sum_{i=0}^n a_i * x^i) into an array of integers corresponding
+ * to the bits with non-zero coefficient. Array is terminated with -1.
* 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.
+ * number of array elements that would be filled if array was large enough.
*/
-int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max)
+int BN_GF2m_poly2arr(const BIGNUM *a, 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)
- */
+ if (BN_is_zero(a))
return 0;
for (i = a->top - 1; i >= 0; i--)
@@ -1066,23 +1004,28 @@ int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max)
}
}
+ if (k < max) {
+ p[k] = -1;
+ k++;
+ }
+
return k;
}
/* Convert the coefficient array representation of a polynomial to a
- * bit-string. The array must be terminated by 0.
+ * bit-string. The array must be terminated by -1.
*/
-int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a)
+int BN_GF2m_arr2poly(const int p[], BIGNUM *a)
{
int i;
bn_check_top(a);
BN_zero(a);
- for (i = 0; p[i] != 0; i++)
+ for (i = 0; p[i] != -1; i++)
{
- BN_set_bit(a, p[i]);
+ if (BN_set_bit(a, p[i]) == 0)
+ return 0;
}
- BN_set_bit(a, 0);
bn_check_top(a);
return 1;
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