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)
{
BN_ULONG tab[16], top3b = a >> 61;
register BN_ULONG a1, a2, a4, a8;
- a1 = a & (0x1FFFFFFFFFFFFFFF); a2 = a1 << 1; a4 = a2 << 1; a8 = a4 << 1;
+ 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;
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; }
/* 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;
BN_ULONG zz, *z;
-
- /* 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.
+
+ 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 (z[j] == 0) { j--; continue; }
z[j] = 0;
- for (k = 1; p[k] > 0; k++)
+ for (k = 1; p[k] != 0; k++)
{
/* reducing component t^p[k] */
n = p[0] - p[k];
if (d0) z[dN] = (z[dN] << d1) >> d1; /* clear up the top d1 bits */
z[0] ^= zz; /* reduction t^0 component */
- for (k = 1; p[k] > 0; k++)
+ for (k = 1; p[k] != 0; k++)
{
BN_ULONG tmp_ulong;
}
bn_correct_top(r);
-
return 1;
}
*/
int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ 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,BN_R_INVALID_LENGTH);
goto err;
}
ret = BN_GF2m_mod_arr(r, a, arr);
bn_check_top(r);
- err:
+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 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;
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;
}
bn_correct_top(s);
- BN_GF2m_mod_arr(r, s, p);
+ if (BN_GF2m_mod_arr(r, s, p))
+ ret = 1;
bn_check_top(r);
- ret = 1;
- err:
+err:
BN_CTX_end(ctx);
return ret;
-
}
/* Compute the product of two polynomials a and b, reduce modulo p, and store
*/
int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ 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 = (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_MUL,BN_R_INVALID_LENGTH);
goto err;
}
ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx);
bn_check_top(r);
- err:
+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 BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const 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;
if (!BN_GF2m_mod_arr(r, s, p)) goto err;
bn_check_top(r);
ret = 1;
- err:
+err:
BN_CTX_end(ctx);
return ret;
}
*/
int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+
+ bn_check_top(a);
+ bn_check_top(p);
+ 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_SQR,BN_R_INVALID_LENGTH);
goto err;
}
ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx);
bn_check_top(r);
- err:
+err:
if (arr) OPENSSL_free(arr);
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);
if (v == NULL) goto err;
if (!BN_one(b)) goto err;
- if (!BN_zero(c)) goto err;
if (!BN_GF2m_mod(u, a, p)) goto err;
if (!BN_copy(v, p)) goto err;
- u->neg = 0; /* Need to set u->neg = 0 because BN_is_one(u) checks
- * the neg flag of the bignum.
- */
-
if (BN_is_zero(u)) goto err;
while (1)
if (!BN_rshift1(b, b)) goto err;
}
- if (BN_is_one(u)) break;
+ if (BN_abs_is_word(u, 1)) break;
if (BN_num_bits(u) < BN_num_bits(v))
{
bn_check_top(r);
ret = 1;
- err:
+err:
BN_CTX_end(ctx);
return ret;
}
* 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;
+ 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:
+err:
BN_CTX_end(ctx);
return ret;
}
{
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;
bn_check_top(r);
ret = 1;
- err:
+err:
BN_CTX_end(ctx);
return ret;
}
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);
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;
- if (!BN_zero(v)) goto err;
- a->neg = 0; /* Need to set a->neg = 0 because BN_is_one(a) checks
- * the neg flag of the bignum.
- */
-
while (!BN_is_odd(a))
{
if (!BN_rshift1(a, a)) goto err;
if (!BN_rshift1(v, v)) goto err;
} while (!BN_is_odd(b));
}
- else if (BN_is_one(a))
+ else if (BN_abs_is_word(a, 1))
break;
else
{
bn_check_top(r);
ret = 1;
- err:
+err:
BN_CTX_end(ctx);
return ret;
}
* 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;
+ 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:
+err:
BN_CTX_end(ctx);
return ret;
}
* 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;
-
+
+ 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_copy(r, u)) goto err;
bn_check_top(r);
-
ret = 1;
-
- err:
+err:
BN_CTX_end(ctx);
return ret;
}
*/
int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ 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 = (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);
goto err;
}
ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx);
bn_check_top(r);
- err:
+err:
if (arr) OPENSSL_free(arr);
return ret;
}
* 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;
-
+
+ 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_zero(u)) 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:
+err:
BN_CTX_end(ctx);
return ret;
}
*/
int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ 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);
bn_check_top(r);
- err:
+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 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;
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);
if (BN_is_zero(a))
{
- ret = BN_zero(r);
+ BN_zero(r);
+ ret = 1;
goto err;
}
{
if (!BN_rand(rho, p[0], 0, 0)) goto err;
if (!BN_GF2m_mod_arr(rho, rho, p)) goto err;
- if (!BN_zero(z)) 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(w, z, p, ctx)) goto err;
if (!BN_GF2m_add(w, z, w)) goto err;
- if (BN_GF2m_cmp(w, a)) 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:
+err:
BN_CTX_end(ctx);
return ret;
}
*/
int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
{
- const int max = BN_num_bits(p);
- unsigned int *arr=NULL, ret = 0;
- if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err;
- if (BN_GF2m_poly2arr(p, arr, max) > max)
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ 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_SOLVE_QUAD,BN_R_INVALID_LENGTH);
goto err;
}
ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx);
bn_check_top(r);
- err:
+err:
if (arr) OPENSSL_free(arr);
return ret;
}
-/* Convert the bit-string representation of a polynomial a into an array
- * of integers corresponding to the bits with non-zero coefficient.
+/* Convert the bit-string representation of a polynomial
+ * ( \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;
+ int i, j, k = 0;
BN_ULONG mask;
- for (k = 0; k < max; k++) p[k] = 0;
- k = 0;
+ if (BN_is_zero(a))
+ 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 (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;
}
projects / openssl.git / blobdiff