#include <string.h>
-#include <openssl/bn.h>
-#include <openssl/err.h>
-#include <openssl/ec.h>
#include "cryptlib.h"
-
+#include "internal/bn_int.h"
#include "ec_lcl.h"
#if BN_BITS2 != 64
-# define TOBN(hi,lo) lo,hi
+# define TOBN(hi,lo) lo,hi
#else
-# define TOBN(hi,lo) ((BN_ULONG)hi<<32|lo)
+# define TOBN(hi,lo) ((BN_ULONG)hi<<32|lo)
#endif
#if defined(__GNUC__)
-# define ALIGN32 __attribute((aligned(32)))
+# define ALIGN32 __attribute((aligned(32)))
#elif defined(_MSC_VER)
-# define ALIGN32 __declspec(align(32))
+# define ALIGN32 __declspec(align(32))
#else
# define ALIGN32
#endif
-#define ALIGNPTR(p,N) ((unsigned char *)p+N-(size_t)p%N)
-#define P256_LIMBS (256/BN_BITS2)
+#define ALIGNPTR(p,N) ((unsigned char *)p+N-(size_t)p%N)
+#define P256_LIMBS (256/BN_BITS2)
typedef unsigned short u16;
typedef struct ec_pre_comp_st {
const EC_GROUP *group; /* Parent EC_GROUP object */
size_t w; /* Window size */
- /* Constant time access to the X and Y coordinates of the pre-computed,
+ /*
+ * Constant time access to the X and Y coordinates of the pre-computed,
* generator multiplies, in the Montgomery domain. Pre-calculated
- * multiplies are stored in affine form. */
+ * multiplies are stored in affine form.
+ */
PRECOMP256_ROW *precomp;
void *precomp_storage;
int references;
/* Modular mul by 3: res = 3*a mod P */
void ecp_nistz256_mul_by_3(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS]);
-/* Modular add: res = a+b mod P */
+/* Modular add: res = a+b mod P */
void ecp_nistz256_add(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
-/* Modular sub: res = a-b mod P */
+/* Modular sub: res = a-b mod P */
void ecp_nistz256_sub(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
-/* Modular neg: res = -a mod P */
+/* Modular neg: res = -a mod P */
void ecp_nistz256_neg(BN_ULONG res[P256_LIMBS], const BN_ULONG a[P256_LIMBS]);
/* Montgomery mul: res = a*b*2^-256 mod P */
void ecp_nistz256_mul_mont(BN_ULONG res[P256_LIMBS],
void ecp_nistz256_to_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG in[P256_LIMBS]);
/* Functions that perform constant time access to the precomputed tables */
-void ecp_nistz256_scatter_w5(P256_POINT * val,
- const P256_POINT * in_t, int index);
-void ecp_nistz256_gather_w5(P256_POINT * val,
- const P256_POINT * in_t, int index);
-void ecp_nistz256_scatter_w7(P256_POINT_AFFINE * val,
- const P256_POINT_AFFINE * in_t, int index);
-void ecp_nistz256_gather_w7(P256_POINT_AFFINE * val,
- const P256_POINT_AFFINE * in_t, int index);
+void ecp_nistz256_scatter_w5(P256_POINT *val,
+ const P256_POINT *in_t, int idx);
+void ecp_nistz256_gather_w5(P256_POINT *val,
+ const P256_POINT *in_t, int idx);
+void ecp_nistz256_scatter_w7(P256_POINT_AFFINE *val,
+ const P256_POINT_AFFINE *in_t, int idx);
+void ecp_nistz256_gather_w7(P256_POINT_AFFINE *val,
+ const P256_POINT_AFFINE *in_t, int idx);
/* One converted into the Montgomery domain */
static const BN_ULONG ONE[P256_LIMBS] = {
static void *ecp_nistz256_pre_comp_dup(void *);
static void ecp_nistz256_pre_comp_free(void *);
static void ecp_nistz256_pre_comp_clear_free(void *);
-static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP * group);
+static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group);
/* Precomputed tables for the default generator */
extern const PRECOMP256_ROW ecp_nistz256_precomputed[37];
static void copy_conditional(BN_ULONG dst[P256_LIMBS],
const BN_ULONG src[P256_LIMBS], BN_ULONG move)
{
- BN_ULONG mask1 = -move;
+ BN_ULONG mask1 = 0-move;
BN_ULONG mask2 = ~mask1;
dst[0] = (src[0] & mask1) ^ (dst[0] & mask2);
}
#ifndef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
-void ecp_nistz256_point_double(P256_POINT * r, const P256_POINT * a);
-void ecp_nistz256_point_add(P256_POINT * r,
- const P256_POINT * a, const P256_POINT * b);
-void ecp_nistz256_point_add_affine(P256_POINT * r,
- const P256_POINT * a,
- const P256_POINT_AFFINE * b);
+void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a);
+void ecp_nistz256_point_add(P256_POINT *r,
+ const P256_POINT *a, const P256_POINT *b);
+void ecp_nistz256_point_add_affine(P256_POINT *r,
+ const P256_POINT *a,
+ const P256_POINT_AFFINE *b);
#else
/* Point double: r = 2*a */
-static void ecp_nistz256_point_double(P256_POINT * r, const P256_POINT * a)
+static void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a)
{
BN_ULONG S[P256_LIMBS];
BN_ULONG M[P256_LIMBS];
}
/* Point addition: r = a+b */
-static void ecp_nistz256_point_add(P256_POINT * r,
- const P256_POINT * a, const P256_POINT * b)
+static void ecp_nistz256_point_add(P256_POINT *r,
+ const P256_POINT *a, const P256_POINT *b)
{
BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS];
BN_ULONG U1[P256_LIMBS], S1[P256_LIMBS];
/* We encode infinity as (0,0), which is not on the curve,
* so it is OK. */
- in1infty = in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
- in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3];
+ in1infty = (in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
+ in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]);
if (P256_LIMBS == 8)
- in1infty |= in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
- in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7];
+ in1infty |= (in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
+ in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]);
- in2infty = in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
- in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3];
+ in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
+ in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]);
if (P256_LIMBS == 8)
- in2infty |= in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
- in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7];
+ in2infty |= (in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
+ in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]);
in1infty = is_zero(in1infty);
in2infty = is_zero(in2infty);
ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */
ecp_nistz256_sub(H, U2, U1); /* H = U2 - U1 */
- /* This should not happen during sign/ecdh,
- * so no constant time violation */
+ /*
+ * This should not happen during sign/ecdh, so no constant time violation
+ */
if (is_equal(U1, U2) && !in1infty && !in2infty) {
if (is_equal(S1, S2)) {
ecp_nistz256_point_double(r, a);
}
/* Point addition when b is known to be affine: r = a+b */
-static void ecp_nistz256_point_add_affine(P256_POINT * r,
- const P256_POINT * a,
- const P256_POINT_AFFINE * b)
+static void ecp_nistz256_point_add_affine(P256_POINT *r,
+ const P256_POINT *a,
+ const P256_POINT_AFFINE *b)
{
BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS];
BN_ULONG Z1sqr[P256_LIMBS];
const BN_ULONG *in2_x = b->X;
const BN_ULONG *in2_y = b->Y;
- /* In affine representation we encode infty as (0,0),
- * which is not on the curve, so it is OK */
- in1infty = in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
- in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3];
+ /*
+ * In affine representation we encode infty as (0,0), which is not on the
+ * curve, so it is OK
+ */
+ in1infty = (in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
+ in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]);
if (P256_LIMBS == 8)
- in1infty |= in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
- in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7];
+ in1infty |= (in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
+ in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]);
- in2infty = in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
- in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3];
+ in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
+ in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]);
if (P256_LIMBS == 8)
- in2infty |= in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
- in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7];
+ in2infty |= (in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
+ in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]);
in1infty = is_zero(in1infty);
in2infty = is_zero(in2infty);
static void ecp_nistz256_mod_inverse(BN_ULONG r[P256_LIMBS],
const BN_ULONG in[P256_LIMBS])
{
- /* The poly is ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff
- We use FLT and used poly-2 as exponent */
+ /*
+ * The poly is ffffffff 00000001 00000000 00000000 00000000 ffffffff
+ * ffffffff ffffffff We use FLT and used poly-2 as exponent
+ */
BN_ULONG p2[P256_LIMBS];
BN_ULONG p4[P256_LIMBS];
BN_ULONG p8[P256_LIMBS];
memcpy(r, res, sizeof(res));
}
-/* ecp_nistz256_bignum_to_field_elem copies the contents of |in| to |out| and
- * returns one if it fits. Otherwise it returns zero. */
+/*
+ * ecp_nistz256_bignum_to_field_elem copies the contents of |in| to |out| and
+ * returns one if it fits. Otherwise it returns zero.
+ */
static int ecp_nistz256_bignum_to_field_elem(BN_ULONG out[P256_LIMBS],
- const BIGNUM * in)
+ const BIGNUM *in)
{
- if (in->top > P256_LIMBS)
- return 0;
-
- memset(out, 0, sizeof(BN_ULONG) * P256_LIMBS);
- memcpy(out, in->d, sizeof(BN_ULONG) * in->top);
- return 1;
+ return bn_copy_words(out, in, P256_LIMBS);
}
/* r = sum(scalar[i]*point[i]) */
-static void ecp_nistz256_windowed_mul(const EC_GROUP * group,
- P256_POINT * r,
- const BIGNUM ** scalar,
- const EC_POINT ** point,
- int num, BN_CTX * ctx)
+static void ecp_nistz256_windowed_mul(const EC_GROUP *group,
+ P256_POINT *r,
+ const BIGNUM **scalar,
+ const EC_POINT **point,
+ size_t num, BN_CTX *ctx)
{
- int i, j;
- unsigned int index;
+ size_t i;
+ int j;
+ unsigned int idx;
unsigned char (*p_str)[33] = NULL;
const unsigned int window_size = 5;
const unsigned int mask = (1 << (window_size + 1)) - 1;
unsigned int wvalue;
- P256_POINT *temp; /* place for 5 temporary points */
+ P256_POINT *temp; /* place for 5 temporary points */
const BIGNUM **scalars = NULL;
- P256_POINT(*table)[16] = NULL;
+ P256_POINT (*table)[16] = NULL;
void *table_storage = NULL;
- if ((table_storage =
- OPENSSL_malloc((num * 16 + 5) * sizeof(P256_POINT) + 64)) == NULL
+ if ((num * 16 + 6) > OPENSSL_MALLOC_MAX_NELEMS(P256_POINT)
+ || (table_storage =
+ OPENSSL_malloc((num * 16 + 5) * sizeof(P256_POINT) + 64)) == NULL
|| (p_str =
OPENSSL_malloc(num * 33 * sizeof(unsigned char))) == NULL
|| (scalars = OPENSSL_malloc(num * sizeof(BIGNUM *))) == NULL) {
}
table = (void *)ALIGNPTR(table_storage, 64);
- temp = (P256_POINT *)(table + num);
+ temp = (P256_POINT *)(table + num);
for (i = 0; i < num; i++) {
P256_POINT *row = table[i];
+ /* This is an unusual input, we don't guarantee constant-timeness. */
if ((BN_num_bits(scalar[i]) > 256) || BN_is_negative(scalar[i])) {
BIGNUM *mod;
if ((mod = BN_CTX_get(ctx)) == NULL)
goto err;
- if (!BN_nnmod(mod, scalar[i], &group->order, ctx)) {
+ if (!BN_nnmod(mod, scalar[i], group->order, ctx)) {
ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL, ERR_R_BN_LIB);
goto err;
}
} else
scalars[i] = scalar[i];
- for (j = 0; j < scalars[i]->top * BN_BYTES; j += BN_BYTES) {
- BN_ULONG d = scalars[i]->d[j / BN_BYTES];
+ for (j = 0; j < bn_get_top(scalars[i]) * BN_BYTES; j += BN_BYTES) {
+ BN_ULONG d = bn_get_words(scalars[i])[j / BN_BYTES];
- p_str[i][j + 0] = d & 0xff;
- p_str[i][j + 1] = (d >> 8) & 0xff;
- p_str[i][j + 2] = (d >> 16) & 0xff;
- p_str[i][j + 3] = (d >>= 24) & 0xff;
+ p_str[i][j + 0] = (unsigned char)d;
+ p_str[i][j + 1] = (unsigned char)(d >> 8);
+ p_str[i][j + 2] = (unsigned char)(d >> 16);
+ p_str[i][j + 3] = (unsigned char)(d >>= 24);
if (BN_BYTES == 8) {
d >>= 8;
- p_str[i][j + 4] = d & 0xff;
- p_str[i][j + 5] = (d >> 8) & 0xff;
- p_str[i][j + 6] = (d >> 16) & 0xff;
- p_str[i][j + 7] = (d >> 24) & 0xff;
+ p_str[i][j + 4] = (unsigned char)d;
+ p_str[i][j + 5] = (unsigned char)(d >> 8);
+ p_str[i][j + 6] = (unsigned char)(d >> 16);
+ p_str[i][j + 7] = (unsigned char)(d >> 24);
}
}
for (; j < 33; j++)
p_str[i][j] = 0;
- if (!ecp_nistz256_bignum_to_field_elem(temp[0].X, &point[i]->X)
- || !ecp_nistz256_bignum_to_field_elem(temp[0].Y, &point[i]->Y)
- || !ecp_nistz256_bignum_to_field_elem(temp[0].Z, &point[i]->Z)) {
- ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL, EC_R_COORDINATES_OUT_OF_RANGE);
+ if (!ecp_nistz256_bignum_to_field_elem(temp[0].X, point[i]->X)
+ || !ecp_nistz256_bignum_to_field_elem(temp[0].Y, point[i]->Y)
+ || !ecp_nistz256_bignum_to_field_elem(temp[0].Z, point[i]->Z)) {
+ ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL,
+ EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
- /* row[0] is implicitly (0,0,0) (the point at infinity),
- * therefore it is not stored. All other values are actually
- * stored with an offset of -1 in table.
+ /*
+ * row[0] is implicitly (0,0,0) (the point at infinity), therefore it
+ * is not stored. All other values are actually stored with an offset
+ * of -1 in table.
*/
ecp_nistz256_scatter_w5 (row, &temp[0], 1);
ecp_nistz256_scatter_w5 (row, &temp[1], 16);
}
- index = 255;
+ idx = 255;
- wvalue = p_str[0][(index - 1) / 8];
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
+ wvalue = p_str[0][(idx - 1) / 8];
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
/*
* We gather to temp[0], because we know it's position relative
ecp_nistz256_gather_w5(&temp[0], table[0], _booth_recode_w5(wvalue) >> 1);
memcpy(r, &temp[0], sizeof(temp[0]));
- while (index >= 5) {
- for (i = (index == 255 ? 1 : 0); i < num; i++) {
- unsigned int off = (index - 1) / 8;
+ while (idx >= 5) {
+ for (i = (idx == 255 ? 1 : 0); i < num; i++) {
+ unsigned int off = (idx - 1) / 8;
wvalue = p_str[i][off] | p_str[i][off + 1] << 8;
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
wvalue = _booth_recode_w5(wvalue);
ecp_nistz256_point_add(r, r, &temp[0]);
}
- index -= window_size;
+ idx -= window_size;
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_add(r, r, &temp[0]);
}
-err:
+ err:
if (table_storage)
OPENSSL_free(table_storage);
if (p_str)
TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85)
};
-/* ecp_nistz256_is_affine_G returns one if |generator| is the standard,
- * P-256 generator. */
-static int ecp_nistz256_is_affine_G(const EC_POINT * generator)
+/*
+ * ecp_nistz256_is_affine_G returns one if |generator| is the standard, P-256
+ * generator.
+ */
+static int ecp_nistz256_is_affine_G(const EC_POINT *generator)
{
- return (generator->X.top == P256_LIMBS) &&
- (generator->Y.top == P256_LIMBS) &&
- (generator->Z.top == (P256_LIMBS - P256_LIMBS / 8)) &&
- is_equal(generator->X.d, def_xG) &&
- is_equal(generator->Y.d, def_yG) && is_one(generator->Z.d);
+ return (bn_get_top(generator->X) == P256_LIMBS) &&
+ (bn_get_top(generator->Y) == P256_LIMBS) &&
+ (bn_get_top(generator->Z) == (P256_LIMBS - P256_LIMBS / 8)) &&
+ is_equal(bn_get_words(generator->X), def_xG) &&
+ is_equal(bn_get_words(generator->Y), def_yG) &&
+ is_one(bn_get_words(generator->Z));
}
-static int ecp_nistz256_mult_precompute(EC_GROUP * group, BN_CTX * ctx)
+static int ecp_nistz256_mult_precompute(EC_GROUP *group, BN_CTX *ctx)
{
- /* We precompute a table for a Booth encoded exponent (wNAF) based
+ /*
+ * We precompute a table for a Booth encoded exponent (wNAF) based
* computation. Each table holds 64 values for safe access, with an
- * implicit value of infinity at index zero. We use window of size 7,
- * and therefore require ceil(256/7) = 37 tables. */
+ * implicit value of infinity at index zero. We use window of size 7, and
+ * therefore require ceil(256/7) = 37 tables.
+ */
BIGNUM *order;
EC_POINT *P = NULL, *T = NULL;
const EC_POINT *generator;
EC_PRE_COMP *pre_comp;
+ BN_CTX *new_ctx = NULL;
int i, j, k, ret = 0;
size_t w;
}
if (ecp_nistz256_is_affine_G(generator)) {
- /* No need to calculate tables for the standard generator
- * because we have them statically. */
+ /*
+ * No need to calculate tables for the standard generator because we
+ * have them statically.
+ */
return 1;
}
return 0;
if (ctx == NULL) {
- ctx = BN_CTX_new();
+ ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
goto err;
}
P = EC_POINT_new(group);
T = EC_POINT_new(group);
+ if (P == NULL || T == NULL)
+ goto err;
- /* The zero entry is implicitly infinity, and we skip it,
- * storing other values with -1 offset. */
- EC_POINT_copy(T, generator);
+ /*
+ * The zero entry is implicitly infinity, and we skip it, storing other
+ * values with -1 offset.
+ */
+ if (!EC_POINT_copy(T, generator))
+ goto err;
for (k = 0; k < 64; k++) {
- EC_POINT_copy(P, T);
+ if (!EC_POINT_copy(P, T))
+ goto err;
for (j = 0; j < 37; j++) {
P256_POINT_AFFINE temp;
- /* It would be faster to use
- * ec_GFp_simple_points_make_affine and make multiple
- * points affine at the same time. */
+ /*
+ * It would be faster to use ec_GFp_simple_points_make_affine and
+ * make multiple points affine at the same time.
+ */
ec_GFp_simple_make_affine(group, P, ctx);
- ecp_nistz256_bignum_to_field_elem(temp.X, &P->X);
- ecp_nistz256_bignum_to_field_elem(temp.Y, &P->Y);
+ ecp_nistz256_bignum_to_field_elem(temp.X, P->X);
+ ecp_nistz256_bignum_to_field_elem(temp.Y, P->Y);
ecp_nistz256_scatter_w7(preComputedTable[j], &temp, k);
for (i = 0; i < 7; i++)
ec_GFp_simple_dbl(group, P, P, ctx);
ret = 1;
-err:
+ err:
if (ctx != NULL)
BN_CTX_end(ctx);
- if (pre_comp)
- ecp_nistz256_pre_comp_free(pre_comp);
+ BN_CTX_free(new_ctx);
+
+ ecp_nistz256_pre_comp_free(pre_comp);
if (precomp_storage)
OPENSSL_free(precomp_storage);
- if (P)
- EC_POINT_free(P);
- if (T)
- EC_POINT_free(T);
+ EC_POINT_free(P);
+ EC_POINT_free(T);
return ret;
}
# undef ECP_NISTZ256_AVX2
# else
/* Constant time access, loading four values, from four consecutive tables */
-void ecp_nistz256_avx2_multi_gather_w7(void *result, const void *in, int index0,
- int index1, int index2, int index3);
+void ecp_nistz256_avx2_multi_gather_w7(void *result, const void *in,
+ int index0, int index1, int index2,
+ int index3);
void ecp_nistz256_avx2_transpose_convert(void *RESULTx4, const void *in);
void ecp_nistz256_avx2_convert_transpose_back(void *result, const void *Ax4);
void ecp_nistz256_avx2_point_add_affine_x4(void *RESULTx4, const void *Ax4,
*digit = d;
}
-/* ecp_nistz256_avx2_mul_g performs multiplication by G, using only the
+/*
+ * ecp_nistz256_avx2_mul_g performs multiplication by G, using only the
* precomputed table. It does 4 affine point additions in parallel,
- * significantly speeding up point multiplication for a fixed value. */
-static void ecp_nistz256_avx2_mul_g(P256_POINT * r,
+ * significantly speeding up point multiplication for a fixed value.
+ */
+static void ecp_nistz256_avx2_mul_g(P256_POINT *r,
unsigned char p_str[33],
- const
- P256_POINT_AFFINE(*preComputedTable)[64])
+ const P256_POINT_AFFINE(*preComputedTable)[64])
{
const unsigned int window_size = 7;
const unsigned int mask = (1 << (window_size + 1)) - 1;
unsigned char sign1, digit1;
unsigned char sign2, digit2;
unsigned char sign3, digit3;
- unsigned int index = 0;
+ unsigned int idx = 0;
BN_ULONG tmp[P256_LIMBS];
int i;
/* Initial four windows */
wvalue = *((u16 *) & p_str[0]);
wvalue = (wvalue << 1) & mask;
- index += window_size;
+ idx += window_size;
booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign3, &digit3, wvalue);
ecp_nistz256_avx2_multi_gather_w7(point_arr, preComputedTable[0],
ecp_nistz256_avx2_to_mont(&aX4[4 * 9], &aX4[4 * 9]);
ecp_nistz256_avx2_set1(&aX4[4 * 9 * 2]);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign3, &digit3, wvalue);
ecp_nistz256_avx2_multi_gather_w7(point_arr, preComputedTable[4 * 1],
ecp_nistz256_avx2_point_add_affines_x4(aX4, aX4, bX4);
for (i = 2; i < 9; i++) {
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
booth_recode_w7(&sign3, &digit3, wvalue);
ecp_nistz256_avx2_multi_gather_w7(point_arr,
ecp_nistz256_avx2_convert_transpose_back(res_point_arr, aX4);
/* Last window is performed serially */
- wvalue = *((u16 *) & p_str[(index - 1) / 8]);
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
+ wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
booth_recode_w7(&sign0, &digit0, wvalue);
- ecp_nistz256_gather_w7((P256_POINT_AFFINE *) r,
- preComputedTable[36], digit0);
+ ecp_nistz256_gather_w7((P256_POINT_AFFINE *)r,
+ preComputedTable[36], digit0);
ecp_nistz256_neg(tmp, r->Y);
copy_conditional(r->Y, tmp, sign0);
memcpy(r->Z, ONE, sizeof(ONE));
# endif
#endif
-static int ecp_nistz256_set_from_affine(EC_POINT * out, const EC_GROUP * group,
- const P256_POINT_AFFINE * in,
- BN_CTX * ctx)
+static int ecp_nistz256_set_from_affine(EC_POINT *out, const EC_GROUP *group,
+ const P256_POINT_AFFINE *in,
+ BN_CTX *ctx)
{
- BIGNUM x, y;
+ BIGNUM *x, *y;
BN_ULONG d_x[P256_LIMBS], d_y[P256_LIMBS];
int ret = 0;
+ x = BN_new();
+ if (!x)
+ return 0;
+ y = BN_new();
+ if (!y) {
+ BN_free(x);
+ return 0;
+ }
memcpy(d_x, in->X, sizeof(d_x));
- x.d = d_x;
- x.dmax = x.top = P256_LIMBS;
- x.neg = 0;
- x.flags = BN_FLG_STATIC_DATA;
+ bn_set_static_words(x, d_x, P256_LIMBS);
memcpy(d_y, in->Y, sizeof(d_y));
- y.d = d_y;
- y.dmax = y.top = P256_LIMBS;
- y.neg = 0;
- y.flags = BN_FLG_STATIC_DATA;
+ bn_set_static_words(y, d_y, P256_LIMBS);
+
+ ret = EC_POINT_set_affine_coordinates_GFp(group, out, x, y, ctx);
- ret = EC_POINT_set_affine_coordinates_GFp(group, out, &x, &y, ctx);
+ if (x)
+ BN_free(x);
+ if (y)
+ BN_free(y);
return ret;
}
/* r = scalar*G + sum(scalars[i]*points[i]) */
-static int ecp_nistz256_points_mul(const EC_GROUP * group,
- EC_POINT * r,
- const BIGNUM * scalar,
+static int ecp_nistz256_points_mul(const EC_GROUP *group,
+ EC_POINT *r,
+ const BIGNUM *scalar,
size_t num,
- const EC_POINT * points[],
- const BIGNUM * scalars[], BN_CTX * ctx)
+ const EC_POINT *points[],
+ const BIGNUM *scalars[], BN_CTX *ctx)
{
int i = 0, ret = 0, no_precomp_for_generator = 0, p_is_infinity = 0;
size_t j;
const PRECOMP256_ROW *preComputedTable = NULL;
const EC_PRE_COMP *pre_comp = NULL;
const EC_POINT *generator = NULL;
- unsigned int index = 0;
+ BN_CTX *new_ctx = NULL;
+ unsigned int idx = 0;
const unsigned int window_size = 7;
const unsigned int mask = (1 << (window_size + 1)) - 1;
unsigned int wvalue;
} t, p;
BIGNUM *tmp_scalar;
- if ((num+1) == 0 || (num+1) > OPENSSL_MALLOC_MAX_NELEMS(void *)) {
+ if ((num + 1) == 0 || (num + 1) > OPENSSL_MALLOC_MAX_NELEMS(void *)) {
ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE);
return 0;
}
ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
+
if ((scalar == NULL) && (num == 0))
return EC_POINT_set_to_infinity(group, r);
}
}
- /* Need 256 bits for space for all coordinates. */
- bn_wexpand(&r->X, P256_LIMBS);
- bn_wexpand(&r->Y, P256_LIMBS);
- bn_wexpand(&r->Z, P256_LIMBS);
- r->X.top = P256_LIMBS;
- r->Y.top = P256_LIMBS;
- r->Z.top = P256_LIMBS;
+ if (ctx == NULL) {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ goto err;
+ }
+
+ BN_CTX_start(ctx);
if (scalar) {
generator = EC_GROUP_get0_generator(group);
ecp_nistz256_pre_comp_clear_free);
if (pre_comp) {
- /* If there is a precomputed table for the generator,
- * check that it was generated with the same
- * generator. */
+ /*
+ * If there is a precomputed table for the generator, check that
+ * it was generated with the same generator.
+ */
EC_POINT *pre_comp_generator = EC_POINT_new(group);
if (pre_comp_generator == NULL)
goto err;
if (!ecp_nistz256_set_from_affine(pre_comp_generator,
group, pre_comp->precomp[0],
- ctx))
+ ctx)) {
+ EC_POINT_free(pre_comp_generator);
goto err;
+ }
if (0 == EC_POINT_cmp(group, generator, pre_comp_generator, ctx))
preComputedTable = (const PRECOMP256_ROW *)pre_comp->precomp;
}
if (preComputedTable == NULL && ecp_nistz256_is_affine_G(generator)) {
- /* If there is no precomputed data, but the generator
- * is the default, a hardcoded table of precomputed
- * data is used. This is because applications, such as
- * Apache, do not use EC_KEY_precompute_mult. */
+ /*
+ * If there is no precomputed data, but the generator is the
+ * default, a hardcoded table of precomputed data is used. This
+ * is because applications, such as Apache, do not use
+ * EC_KEY_precompute_mult.
+ */
preComputedTable = ecp_nistz256_precomputed;
}
if ((tmp_scalar = BN_CTX_get(ctx)) == NULL)
goto err;
- if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) {
+ if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_BN_LIB);
goto err;
}
scalar = tmp_scalar;
}
- for (i = 0; i < scalar->top * BN_BYTES; i += BN_BYTES) {
- BN_ULONG d = scalar->d[i / BN_BYTES];
+ for (i = 0; i < bn_get_top(scalar) * BN_BYTES; i += BN_BYTES) {
+ BN_ULONG d = bn_get_words(scalar)[i / BN_BYTES];
- p_str[i + 0] = d & 0xff;
- p_str[i + 1] = (d >> 8) & 0xff;
- p_str[i + 2] = (d >> 16) & 0xff;
- p_str[i + 3] = (d >>= 24) & 0xff;
+ p_str[i + 0] = (unsigned char)d;
+ p_str[i + 1] = (unsigned char)(d >> 8);
+ p_str[i + 2] = (unsigned char)(d >> 16);
+ p_str[i + 3] = (unsigned char)(d >>= 24);
if (BN_BYTES == 8) {
d >>= 8;
- p_str[i + 4] = d & 0xff;
- p_str[i + 5] = (d >> 8) & 0xff;
- p_str[i + 6] = (d >> 16) & 0xff;
- p_str[i + 7] = (d >> 24) & 0xff;
+ p_str[i + 4] = (unsigned char)d;
+ p_str[i + 5] = (unsigned char)(d >> 8);
+ p_str[i + 6] = (unsigned char)(d >> 16);
+ p_str[i + 7] = (unsigned char)(d >> 24);
}
}
{
/* First window */
wvalue = (p_str[0] << 1) & mask;
- index += window_size;
+ idx += window_size;
wvalue = _booth_recode_w7(wvalue);
- ecp_nistz256_gather_w7(&p.a, preComputedTable[0], wvalue >> 1);
+ ecp_nistz256_gather_w7(&p.a, preComputedTable[0],
+ wvalue >> 1);
ecp_nistz256_neg(p.p.Z, p.p.Y);
copy_conditional(p.p.Y, p.p.Z, wvalue & 1);
memcpy(p.p.Z, ONE, sizeof(ONE));
for (i = 1; i < 37; i++) {
- unsigned int off = (index - 1) / 8;
+ unsigned int off = (idx - 1) / 8;
wvalue = p_str[off] | p_str[off + 1] << 8;
- wvalue = (wvalue >> ((index - 1) % 8)) & mask;
- index += window_size;
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
wvalue = _booth_recode_w7(wvalue);
p_is_infinity = 1;
if (no_precomp_for_generator) {
- /* Without a precomputed table for the generator, it has to be
- * handled like a normal point. */
+ /*
+ * Without a precomputed table for the generator, it has to be
+ * handled like a normal point.
+ */
const BIGNUM **new_scalars;
const EC_POINT **new_points;
new_scalars = OPENSSL_malloc((num + 1) * sizeof(BIGNUM *));
if (!new_scalars) {
ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE);
- return 0;
+ goto err;
}
new_points = OPENSSL_malloc((num + 1) * sizeof(EC_POINT *));
if (!new_points) {
OPENSSL_free(new_scalars);
ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE);
- return 0;
+ goto err;
}
memcpy(new_scalars, scalars, num * sizeof(BIGNUM *));
OPENSSL_free(scalars);
}
- memcpy(r->X.d, p.p.X, sizeof(p.p.X));
- memcpy(r->Y.d, p.p.Y, sizeof(p.p.Y));
- memcpy(r->Z.d, p.p.Z, sizeof(p.p.Z));
- bn_correct_top(&r->X);
- bn_correct_top(&r->Y);
- bn_correct_top(&r->Z);
+ /* Not constant-time, but we're only operating on the public output. */
+ if (!bn_set_words(r->X, p.p.X, P256_LIMBS) ||
+ !bn_set_words(r->Y, p.p.Y, P256_LIMBS) ||
+ !bn_set_words(r->Z, p.p.Z, P256_LIMBS)) {
+ goto err;
+ }
+ r->Z_is_one = is_one(p.p.Z);
ret = 1;
err:
+ if (ctx)
+ BN_CTX_end(ctx);
+ BN_CTX_free(new_ctx);
return ret;
}
-static int ecp_nistz256_get_affine(const EC_GROUP * group,
- const EC_POINT * point,
- BIGNUM * x, BIGNUM * y, BN_CTX * ctx)
+static int ecp_nistz256_get_affine(const EC_GROUP *group,
+ const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
BN_ULONG z_inv2[P256_LIMBS];
BN_ULONG z_inv3[P256_LIMBS];
BN_ULONG x_aff[P256_LIMBS];
BN_ULONG y_aff[P256_LIMBS];
BN_ULONG point_x[P256_LIMBS], point_y[P256_LIMBS], point_z[P256_LIMBS];
+ BN_ULONG x_ret[P256_LIMBS], y_ret[P256_LIMBS];
if (EC_POINT_is_at_infinity(group, point)) {
ECerr(EC_F_ECP_NISTZ256_GET_AFFINE, EC_R_POINT_AT_INFINITY);
return 0;
}
- if (!ecp_nistz256_bignum_to_field_elem(point_x, &point->X) ||
- !ecp_nistz256_bignum_to_field_elem(point_y, &point->Y) ||
- !ecp_nistz256_bignum_to_field_elem(point_z, &point->Z)) {
+ if (!ecp_nistz256_bignum_to_field_elem(point_x, point->X) ||
+ !ecp_nistz256_bignum_to_field_elem(point_y, point->Y) ||
+ !ecp_nistz256_bignum_to_field_elem(point_z, point->Z)) {
ECerr(EC_F_ECP_NISTZ256_GET_AFFINE, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
ecp_nistz256_mul_mont(x_aff, z_inv2, point_x);
if (x != NULL) {
- bn_wexpand(x, P256_LIMBS);
- x->top = P256_LIMBS;
- ecp_nistz256_from_mont(x->d, x_aff);
- bn_correct_top(x);
+ ecp_nistz256_from_mont(x_ret, x_aff);
+ if (!bn_set_words(x, x_ret, P256_LIMBS))
+ return 0;
}
if (y != NULL) {
ecp_nistz256_mul_mont(z_inv3, z_inv3, z_inv2);
ecp_nistz256_mul_mont(y_aff, z_inv3, point_y);
- bn_wexpand(y, P256_LIMBS);
- y->top = P256_LIMBS;
- ecp_nistz256_from_mont(y->d, y_aff);
- bn_correct_top(y);
+ ecp_nistz256_from_mont(y_ret, y_aff);
+ if (!bn_set_words(y, y_ret, P256_LIMBS))
+ return 0;
}
return 1;
}
-static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP * group)
+static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group)
{
EC_PRE_COMP *ret = NULL;
if (!group)
return NULL;
- ret = (EC_PRE_COMP *) OPENSSL_malloc(sizeof(EC_PRE_COMP));
+ ret = (EC_PRE_COMP *)OPENSSL_malloc(sizeof(EC_PRE_COMP));
if (!ret) {
ECerr(EC_F_ECP_NISTZ256_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE);
OPENSSL_free(pre);
}
-static int ecp_nistz256_window_have_precompute_mult(const EC_GROUP * group)
+static int ecp_nistz256_window_have_precompute_mult(const EC_GROUP *group)
{
/* There is a hard-coded table for the default generator. */
const EC_POINT *generator = EC_GROUP_get0_generator(group);