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-rw-r--r--CHANGES8
-rw-r--r--crypto/bn/bn.h20
-rw-r--r--crypto/bn/bn_gf2m.c77
-rw-r--r--crypto/bn/bntest.c32
-rw-r--r--crypto/ec/ec2_smpl.c4
-rw-r--r--crypto/ec/ec_lcl.h13
6 files changed, 84 insertions, 70 deletions
diff --git a/CHANGES b/CHANGES
index 0d4435913c..55331b9d1d 100644
--- a/CHANGES
+++ b/CHANGES
@@ -4,6 +4,14 @@
Changes between 0.9.8b and 0.9.9 [xx XXX xxxx]
+ *) Change the array representation of binary polynomials: the list
+ of degrees of non-zero coefficients is now terminated with -1.
+ Previously it was terminated with 0, which was also part of the
+ value; thus, the array representation was not applicable to
+ polynomials where t^0 has coefficient zero. This change makes
+ the array representation useful in a more general context.
+ [Douglas Stebila]
+
*) Various modifications and fixes to SSL/TLS cipher string
handling. For ECC, the code now distinguishes between fixed ECDH
with RSA certificates on the one hand and with ECDSA certificates
diff --git a/crypto/bn/bn.h b/crypto/bn/bn.h
index 0a9aa78d8b..a2472b7d28 100644
--- a/crypto/bn/bn.h
+++ b/crypto/bn/bn.h
@@ -558,24 +558,24 @@ int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
* t^p[0] + t^p[1] + ... + t^p[k]
* where m = p[0] > p[1] > ... > p[k] = 0.
*/
-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[]);
/* r = a mod p */
int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */
-int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
+ const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
BN_CTX *ctx); /* r = (a * a) mod p */
-int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[],
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
BN_CTX *ctx); /* r = (1 / b) mod p */
int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */
+ const int p[], BN_CTX *ctx); /* r = (a / b) mod p */
int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
+ const int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
- const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
+ const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
- const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
-int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max);
-int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a);
+ const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
+int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
+int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
/* faster mod functions for the 'NIST primes'
* 0 <= a < p^2 */
diff --git a/crypto/bn/bn_gf2m.c b/crypto/bn/bn_gf2m.c
index 3953b9890d..e962e4f799 100644
--- a/crypto/bn/bn_gf2m.c
+++ b/crypto/bn/bn_gf2m.c
@@ -258,7 +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;
@@ -355,11 +355,11 @@ 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)
{
@@ -377,7 +377,7 @@ 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;
@@ -433,12 +433,12 @@ 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)
{
@@ -454,7 +454,7 @@ 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;
@@ -489,12 +489,12 @@ 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)
{
@@ -576,7 +576,7 @@ 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;
@@ -702,7 +702,7 @@ 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;
@@ -727,7 +727,7 @@ 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;
@@ -773,12 +773,12 @@ 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)
{
@@ -796,7 +796,7 @@ 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;
@@ -832,11 +832,11 @@ 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)
{
@@ -853,7 +853,7 @@ 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;
@@ -951,11 +951,11 @@ 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)
@@ -971,20 +971,17 @@ 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--)
@@ -1004,24 +1001,28 @@ 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++)
{
if (BN_set_bit(a, p[i]) == 0)
return 0;
}
- BN_set_bit(a, 0);
bn_check_top(a);
return 1;
diff --git a/crypto/bn/bntest.c b/crypto/bn/bntest.c
index 5a3c3d1d2e..fd5e21cbe6 100644
--- a/crypto/bn/bntest.c
+++ b/crypto/bn/bntest.c
@@ -1118,8 +1118,8 @@ int test_gf2m_mod(BIO *bp)
{
BIGNUM *a,*b[2],*c,*d,*e;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1176,8 +1176,8 @@ int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1247,8 +1247,8 @@ int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1306,8 +1306,8 @@ int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1361,8 +1361,8 @@ int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1424,8 +1424,8 @@ int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1495,8 +1495,8 @@ int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
@@ -1554,8 +1554,8 @@ int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e;
int i, j, s = 0, t, ret = 0;
- unsigned int p0[] = {163,7,6,3,0};
- unsigned int p1[] = {193,15,0};
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
diff --git a/crypto/ec/ec2_smpl.c b/crypto/ec/ec2_smpl.c
index 527e6d8147..01d8483c3a 100644
--- a/crypto/ec/ec2_smpl.c
+++ b/crypto/ec/ec2_smpl.c
@@ -157,6 +157,7 @@ void ec_GF2m_simple_group_clear_finish(EC_GROUP *group)
group->poly[2] = 0;
group->poly[3] = 0;
group->poly[4] = 0;
+ group->poly[5] = -1;
}
@@ -174,6 +175,7 @@ int ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
dest->poly[2] = src->poly[2];
dest->poly[3] = src->poly[3];
dest->poly[4] = src->poly[4];
+ dest->poly[5] = src->poly[5];
bn_wexpand(&dest->a, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2);
bn_wexpand(&dest->b, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2);
for (i = dest->a.top; i < dest->a.dmax; i++) dest->a.d[i] = 0;
@@ -190,7 +192,7 @@ int ec_GF2m_simple_group_set_curve(EC_GROUP *group,
/* group->field */
if (!BN_copy(&group->field, p)) goto err;
- i = BN_GF2m_poly2arr(&group->field, group->poly, 5);
+ i = BN_GF2m_poly2arr(&group->field, group->poly, 6) - 1;
if ((i != 5) && (i != 3))
{
ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE, EC_R_UNSUPPORTED_FIELD);
diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h
index fdd7aa2755..3e2c34b0bc 100644
--- a/crypto/ec/ec_lcl.h
+++ b/crypto/ec/ec_lcl.h
@@ -205,11 +205,14 @@ struct ec_group_st {
* irreducible polynomial defining the field.
*/
- unsigned int poly[5]; /* Field specification for curves over GF(2^m).
- * The irreducible f(t) is then of the form:
- * t^poly[0] + t^poly[1] + ... + t^poly[k]
- * where m = poly[0] > poly[1] > ... > poly[k] = 0.
- */
+ int poly[6]; /* Field specification for curves over GF(2^m).
+ * The irreducible f(t) is then of the form:
+ * t^poly[0] + t^poly[1] + ... + t^poly[k]
+ * where m = poly[0] > poly[1] > ... > poly[k] = 0.
+ * The array is terminated with poly[k+1]=-1.
+ * All elliptic curve irreducibles have at most 5
+ * non-zero terms.
+ */
BIGNUM a, b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used