More C language police work.
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1 changed files with 53 additions and 43 deletions
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@ -68,27 +68,15 @@
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#include <openssl/err.h>
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#include "ec_lcl.h"
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#if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1))
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/* even with gcc, the typedef won't work for 32-bit platforms */
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typedef __uint128_t uint128_t; /* nonstandard; implemented by gcc on 64-bit platforms */
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#else
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#error "Need GCC 3.1 or later to define type uint128_t"
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#endif
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typedef uint8_t u8;
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static const u8 nistp224_curve_params[5*28] = {
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
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0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
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0xB4,0x05,0x0A,0x85,0x0C,0x04,0xB3,0xAB,0xF5,0x41, /* b */
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0x32,0x56,0x50,0x44,0xB0,0xB7,0xD7,0xBF,0xD8,0xBA,
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0x27,0x0B,0x39,0x43,0x23,0x55,0xFF,0xB4,
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0xB7,0x0E,0x0C,0xBD,0x6B,0xB4,0xBF,0x7F,0x32,0x13, /* x */
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0x90,0xB9,0x4A,0x03,0xC1,0xD3,0x56,0xC2,0x11,0x22,
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0x34,0x32,0x80,0xD6,0x11,0x5C,0x1D,0x21,
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0xbd,0x37,0x63,0x88,0xb5,0xf7,0x23,0xfb,0x4c,0x22, /* y */
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0xdf,0xe6,0xcd,0x43,0x75,0xa0,0x5a,0x07,0x47,0x64,
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0x44,0xd5,0x81,0x99,0x85,0x00,0x7e,0x34
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};
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/******************************************************************************/
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/* INTERNAL REPRESENTATION OF FIELD ELEMENTS
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@ -108,8 +96,27 @@ static const u8 nistp224_curve_params[5*28] = {
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typedef uint64_t fslice;
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/* Field element size (and group order size), in bytes: 28*8 = 224 */
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static const unsigned fElemSize = 28;
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/* Field element represented as a byte arrary.
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* 28*8 = 224 bits is also the group order size for the elliptic curve. */
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typedef u8 felem_bytearray[28];
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static const felem_bytearray nistp224_curve_params[5] = {
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{0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
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0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01},
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{0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE},
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{0xB4,0x05,0x0A,0x85,0x0C,0x04,0xB3,0xAB,0xF5,0x41, /* b */
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0x32,0x56,0x50,0x44,0xB0,0xB7,0xD7,0xBF,0xD8,0xBA,
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0x27,0x0B,0x39,0x43,0x23,0x55,0xFF,0xB4},
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{0xB7,0x0E,0x0C,0xBD,0x6B,0xB4,0xBF,0x7F,0x32,0x13, /* x */
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0x90,0xB9,0x4A,0x03,0xC1,0xD3,0x56,0xC2,0x11,0x22,
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0x34,0x32,0x80,0xD6,0x11,0x5C,0x1D,0x21},
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{0xbd,0x37,0x63,0x88,0xb5,0xf7,0x23,0xfb,0x4c,0x22, /* y */
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0xdf,0xe6,0xcd,0x43,0x75,0xa0,0x5a,0x07,0x47,0x64,
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0x44,0xd5,0x81,0x99,0x85,0x00,0x7e,0x34}
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};
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/* Precomputed multiples of the standard generator
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* b_0*G + b_1*2^56*G + b_2*2^112*G + b_3*2^168*G for
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@ -252,14 +259,14 @@ static void flip_endian(u8 *out, const u8 *in, unsigned len)
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/* From OpenSSL BIGNUM to internal representation */
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static int BN_to_felem(fslice out[4], const BIGNUM *bn)
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{
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u8 b_in[fElemSize];
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u8 b_out[fElemSize];
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felem_bytearray b_in;
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felem_bytearray b_out;
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unsigned num_bytes;
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/* BN_bn2bin eats leading zeroes */
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memset(b_out, 0, fElemSize);
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memset(b_out, 0, sizeof b_out);
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num_bytes = BN_num_bytes(bn);
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if (num_bytes > fElemSize)
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if (num_bytes > sizeof b_out)
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{
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ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE);
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return 0;
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@ -278,10 +285,10 @@ static int BN_to_felem(fslice out[4], const BIGNUM *bn)
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/* From internal representation to OpenSSL BIGNUM */
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static BIGNUM *felem_to_BN(BIGNUM *out, const fslice in[4])
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{
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u8 b_in[fElemSize], b_out[fElemSize];
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felem_bytearray b_in, b_out;
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felem_to_bin28(b_in, in);
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flip_endian(b_out, b_in, fElemSize);
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return BN_bin2bn(b_out, fElemSize, out);
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flip_endian(b_out, b_in, sizeof b_out);
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return BN_bin2bn(b_out, sizeof b_out, out);
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}
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/******************************************************************************/
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@ -959,7 +966,7 @@ static void select_point(const fslice bits[4], const fslice pre_comp[16][3][4],
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* of the generator, using certain (large) precomputed multiples in g_pre_comp.
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* Output point (X, Y, Z) is stored in x_out, y_out, z_out */
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static void batch_mul(fslice x_out[4], fslice y_out[4], fslice z_out[4],
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const u8 scalars[][fElemSize], const unsigned num_points, const u8 *g_scalar,
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const felem_bytearray scalars[], const unsigned num_points, const u8 *g_scalar,
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const fslice pre_comp[][16][3][4], const fslice g_pre_comp[16][3][4])
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{
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unsigned i, j, num;
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@ -1104,9 +1111,9 @@ int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
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if (((curve_p = BN_CTX_get(ctx)) == NULL) ||
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((curve_a = BN_CTX_get(ctx)) == NULL) ||
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((curve_b = BN_CTX_get(ctx)) == NULL)) goto err;
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BN_bin2bn(nistp224_curve_params, fElemSize, curve_p);
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BN_bin2bn(nistp224_curve_params + 28, fElemSize, curve_a);
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BN_bin2bn(nistp224_curve_params + 56, fElemSize, curve_b);
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BN_bin2bn(nistp224_curve_params[0], sizeof(felem_bytearray), curve_p);
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BN_bin2bn(nistp224_curve_params[1], sizeof(felem_bytearray), curve_a);
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BN_bin2bn(nistp224_curve_params[2], sizeof(felem_bytearray), curve_b);
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if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) ||
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(BN_cmp(curve_b, b)))
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{
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@ -1175,10 +1182,10 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
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int i, j;
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BN_CTX *new_ctx = NULL;
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BIGNUM *x, *y, *z, *tmp_scalar;
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u8 g_secret[fElemSize];
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u8 (*secrets)[fElemSize] = NULL;
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felem_bytearray g_secret;
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felem_bytearray *secrets = NULL;
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fslice (*pre_comp)[16][3][4] = NULL;
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u8 tmp[fElemSize];
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felem_bytearray tmp;
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unsigned num_bytes;
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int have_pre_comp = 0;
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size_t num_points = num;
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@ -1231,7 +1238,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
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* treat the generator as a random point */
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num_points = num_points + 1;
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}
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secrets = OPENSSL_malloc(num_points * fElemSize);
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secrets = OPENSSL_malloc(num_points * sizeof(felem_bytearray));
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pre_comp = OPENSSL_malloc(num_points * 16 * 3 * 4 * sizeof(fslice));
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if ((num_points) && ((secrets == NULL) || (pre_comp == NULL)))
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@ -1242,7 +1249,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
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/* we treat NULL scalars as 0, and NULL points as points at infinity,
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* i.e., they contribute nothing to the linear combination */
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memset(secrets, 0, num_points * fElemSize);
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memset(secrets, 0, num_points * sizeof(felem_bytearray));
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memset(pre_comp, 0, num_points * 16 * 3 * 4 * sizeof(fslice));
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for (i = 0; i < num_points; ++i)
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{
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@ -1262,7 +1269,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
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{
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num_bytes = BN_num_bytes(p_scalar);
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/* reduce scalar to 0 <= scalar < 2^224 */
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if ((num_bytes > fElemSize) || (BN_is_negative(p_scalar)))
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if ((num_bytes > sizeof(felem_bytearray)) || (BN_is_negative(p_scalar)))
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{
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/* this is an unusual input, and we don't guarantee
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* constant-timeness */
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/* the scalar for the generator */
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if ((scalar != NULL) && (have_pre_comp))
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{
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memset(g_secret, 0, fElemSize);
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memset(g_secret, 0, sizeof g_secret);
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num_bytes = BN_num_bytes(scalar);
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/* reduce scalar to 0 <= scalar < 2^224 */
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if ((num_bytes > fElemSize) || (BN_is_negative(scalar)))
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if ((num_bytes > sizeof(felem_bytearray)) || (BN_is_negative(scalar)))
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{
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/* this is an unusual input, and we don't guarantee
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* constant-timeness */
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flip_endian(g_secret, tmp, num_bytes);
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/* do the multiplication with generator precomputation*/
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batch_mul(x_out, y_out, z_out,
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(const u8 (*)[fElemSize]) secrets, num_points,
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(const felem_bytearray (*)) secrets, num_points,
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g_secret, (const fslice (*)[16][3][4]) pre_comp,
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(const fslice (*)[3][4]) g_pre_comp);
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}
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else
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/* do the multiplication without generator precomputation */
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batch_mul(x_out, y_out, z_out,
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(const u8 (*)[fElemSize]) secrets, num_points,
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(const felem_bytearray (*)) secrets, num_points,
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NULL, (const fslice (*)[16][3][4]) pre_comp, NULL);
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/* reduce the output to its unique minimal representation */
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felem_contract(x_in, x_out);
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generator = EC_POINT_new(group);
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if (generator == NULL)
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goto err;
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BN_bin2bn(nistp224_curve_params + 84, fElemSize, x);
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BN_bin2bn(nistp224_curve_params + 112, fElemSize, y);
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BN_bin2bn(nistp224_curve_params[3], sizeof (felem_bytearray), x);
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BN_bin2bn(nistp224_curve_params[4], sizeof (felem_bytearray), y);
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if (!EC_POINT_set_affine_coordinates_GFp(group, generator, x, y, ctx))
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goto err;
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if ((pre = nistp224_pre_comp_new()) == NULL)
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@ -1478,4 +1485,7 @@ int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
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else
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return 0;
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}
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#else
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static void *dummy=&dummy;
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#endif
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