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-rw-r--r--crypto/ec/ecp_nistp256.c789
1 files changed, 385 insertions, 404 deletions
diff --git a/crypto/ec/ecp_nistp256.c b/crypto/ec/ecp_nistp256.c
index 4a55f925c465..3e2b72824ad6 100644
--- a/crypto/ec/ecp_nistp256.c
+++ b/crypto/ec/ecp_nistp256.c
@@ -47,7 +47,7 @@
#include "internal/numbers.h"
#ifndef INT128_MAX
-# error "Your compiler doesn't appear to support 128-bit integer types"
+#error "Your compiler doesn't appear to support 128-bit integer types"
#endif
typedef uint8_t u8;
@@ -67,26 +67,26 @@ typedef u8 felem_bytearray[32];
* values are big-endian.
*/
static const felem_bytearray nistp256_curve_params[5] = {
- {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* p */
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
- {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* a = -3 */
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc},
- {0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, /* b */
- 0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
- 0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
- 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b},
- {0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, /* x */
- 0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
- 0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
- 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96},
- {0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, /* y */
- 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
- 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
- 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5}
+ { 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* p */
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff },
+ { 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* a = -3 */
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc },
+ { 0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, /* b */
+ 0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
+ 0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
+ 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b },
+ { 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, /* x */
+ 0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
+ 0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
+ 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96 },
+ { 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, /* y */
+ 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
+ 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
+ 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5 }
};
/*-
@@ -118,8 +118,7 @@ typedef limb longfelem[NLIMBS * 2];
typedef u64 smallfelem[NLIMBS];
/* This is the value of the prime as four 64-bit words, little-endian. */
-static const u64 kPrime[4] =
- { 0xfffffffffffffffful, 0xffffffff, 0, 0xffffffff00000001ul };
+static const u64 kPrime[4] = { 0xfffffffffffffffful, 0xffffffff, 0, 0xffffffff00000001ul };
static const u64 bottom63bits = 0x7ffffffffffffffful;
/*
@@ -247,8 +246,7 @@ static void longfelem_scalar(longfelem out, const u64 scalar)
#define two105m41p9 (((limb)1) << 105) - (((limb)1) << 41) + (((limb)1) << 9)
/* zero105 is 0 mod p */
-static const felem zero105 =
- { two105m41m9, two105, two105m41p9, two105m41p9 };
+static const felem zero105 = { two105m41m9, two105, two105m41p9, two105m41p9 };
/*-
* smallfelem_neg sets |out| to |-small|
@@ -292,8 +290,7 @@ static void felem_diff(felem out, const felem in)
#define two107m43p11 (((limb)1) << 107) - (((limb)1) << 43) + (((limb)1) << 11)
/* zero107 is 0 mod p */
-static const felem zero107 =
- { two107m43m11, two107, two107m43p11, two107m43p11 };
+static const felem zero107 = { two107m43m11, two107, two107m43p11, two107m43p11 };
/*-
* An alternative felem_diff for larger inputs |in|
@@ -328,14 +325,11 @@ static void felem_diff_zero107(felem out, const felem in)
*/
static void longfelem_diff(longfelem out, const longfelem in)
{
- static const limb two70m8p6 =
- (((limb) 1) << 70) - (((limb) 1) << 8) + (((limb) 1) << 6);
- static const limb two70p40 = (((limb) 1) << 70) + (((limb) 1) << 40);
- static const limb two70 = (((limb) 1) << 70);
- static const limb two70m40m38p6 =
- (((limb) 1) << 70) - (((limb) 1) << 40) - (((limb) 1) << 38) +
- (((limb) 1) << 6);
- static const limb two70m6 = (((limb) 1) << 70) - (((limb) 1) << 6);
+ static const limb two70m8p6 = (((limb)1) << 70) - (((limb)1) << 8) + (((limb)1) << 6);
+ static const limb two70p40 = (((limb)1) << 70) + (((limb)1) << 40);
+ static const limb two70 = (((limb)1) << 70);
+ static const limb two70m40m38p6 = (((limb)1) << 70) - (((limb)1) << 40) - (((limb)1) << 38) + (((limb)1) << 6);
+ static const limb two70m6 = (((limb)1) << 70) - (((limb)1) << 6);
/* add 0 mod p to avoid underflow */
out[0] += two70m8p6;
@@ -395,18 +389,18 @@ static void felem_shrink(smallfelem out, const felem in)
* We perform two partial reductions where we eliminate the high-word of
* tmp[3]. We don't update the other words till the end.
*/
- a = tmp[3] >> 64; /* a < 2^46 */
+ a = tmp[3] >> 64; /* a < 2^46 */
tmp[3] = (u64)tmp[3];
tmp[3] -= a;
- tmp[3] += ((limb) a) << 32;
+ tmp[3] += ((limb)a) << 32;
/* tmp[3] < 2^79 */
b = a;
- a = tmp[3] >> 64; /* a < 2^15 */
- b += a; /* b < 2^46 + 2^15 < 2^47 */
+ a = tmp[3] >> 64; /* a < 2^15 */
+ b += a; /* b < 2^46 + 2^15 < 2^47 */
tmp[3] = (u64)tmp[3];
tmp[3] -= a;
- tmp[3] += ((limb) a) << 32;
+ tmp[3] += ((limb)a) << 32;
/* tmp[3] < 2^64 + 2^47 */
/*
@@ -414,7 +408,7 @@ static void felem_shrink(smallfelem out, const felem in)
* reductions.
*/
tmp[0] += b;
- tmp[1] -= (((limb) b) << 32);
+ tmp[1] -= (((limb)b) << 32);
/*
* In order to make space in tmp[3] for the carry from 2 -> 3, we
@@ -487,53 +481,53 @@ static void smallfelem_square(longfelem out, const smallfelem small)
limb a;
u64 high, low;
- a = ((uint128_t) small[0]) * small[0];
+ a = ((uint128_t)small[0]) * small[0];
low = a;
high = a >> 64;
out[0] = low;
out[1] = high;
- a = ((uint128_t) small[0]) * small[1];
+ a = ((uint128_t)small[0]) * small[1];
low = a;
high = a >> 64;
out[1] += low;
out[1] += low;
out[2] = high;
- a = ((uint128_t) small[0]) * small[2];
+ a = ((uint128_t)small[0]) * small[2];
low = a;
high = a >> 64;
out[2] += low;
out[2] *= 2;
out[3] = high;
- a = ((uint128_t) small[0]) * small[3];
+ a = ((uint128_t)small[0]) * small[3];
low = a;
high = a >> 64;
out[3] += low;
out[4] = high;
- a = ((uint128_t) small[1]) * small[2];
+ a = ((uint128_t)small[1]) * small[2];
low = a;
high = a >> 64;
out[3] += low;
out[3] *= 2;
out[4] += high;
- a = ((uint128_t) small[1]) * small[1];
+ a = ((uint128_t)small[1]) * small[1];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
- a = ((uint128_t) small[1]) * small[3];
+ a = ((uint128_t)small[1]) * small[3];
low = a;
high = a >> 64;
out[4] += low;
out[4] *= 2;
out[5] = high;
- a = ((uint128_t) small[2]) * small[3];
+ a = ((uint128_t)small[2]) * small[3];
low = a;
high = a >> 64;
out[5] += low;
@@ -541,13 +535,13 @@ static void smallfelem_square(longfelem out, const smallfelem small)
out[6] = high;
out[6] += high;
- a = ((uint128_t) small[2]) * small[2];
+ a = ((uint128_t)small[2]) * small[2];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
- a = ((uint128_t) small[3]) * small[3];
+ a = ((uint128_t)small[3]) * small[3];
low = a;
high = a >> 64;
out[6] += low;
@@ -577,102 +571,102 @@ static void felem_square(longfelem out, const felem in)
* out[i] < 7 * 2^64 < 2^67
*/
static void smallfelem_mul(longfelem out, const smallfelem small1,
- const smallfelem small2)
+ const smallfelem small2)
{
limb a;
u64 high, low;
- a = ((uint128_t) small1[0]) * small2[0];
+ a = ((uint128_t)small1[0]) * small2[0];
low = a;
high = a >> 64;
out[0] = low;
out[1] = high;
- a = ((uint128_t) small1[0]) * small2[1];
+ a = ((uint128_t)small1[0]) * small2[1];
low = a;
high = a >> 64;
out[1] += low;
out[2] = high;
- a = ((uint128_t) small1[1]) * small2[0];
+ a = ((uint128_t)small1[1]) * small2[0];
low = a;
high = a >> 64;
out[1] += low;
out[2] += high;
- a = ((uint128_t) small1[0]) * small2[2];
+ a = ((uint128_t)small1[0]) * small2[2];
low = a;
high = a >> 64;
out[2] += low;
out[3] = high;
- a = ((uint128_t) small1[1]) * small2[1];
+ a = ((uint128_t)small1[1]) * small2[1];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
- a = ((uint128_t) small1[2]) * small2[0];
+ a = ((uint128_t)small1[2]) * small2[0];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
- a = ((uint128_t) small1[0]) * small2[3];
+ a = ((uint128_t)small1[0]) * small2[3];
low = a;
high = a >> 64;
out[3] += low;
out[4] = high;
- a = ((uint128_t) small1[1]) * small2[2];
+ a = ((uint128_t)small1[1]) * small2[2];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
- a = ((uint128_t) small1[2]) * small2[1];
+ a = ((uint128_t)small1[2]) * small2[1];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
- a = ((uint128_t) small1[3]) * small2[0];
+ a = ((uint128_t)small1[3]) * small2[0];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
- a = ((uint128_t) small1[1]) * small2[3];
+ a = ((uint128_t)small1[1]) * small2[3];
low = a;
high = a >> 64;
out[4] += low;
out[5] = high;
- a = ((uint128_t) small1[2]) * small2[2];
+ a = ((uint128_t)small1[2]) * small2[2];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
- a = ((uint128_t) small1[3]) * small2[1];
+ a = ((uint128_t)small1[3]) * small2[1];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
- a = ((uint128_t) small1[2]) * small2[3];
+ a = ((uint128_t)small1[2]) * small2[3];
low = a;
high = a >> 64;
out[5] += low;
out[6] = high;
- a = ((uint128_t) small1[3]) * small2[2];
+ a = ((uint128_t)small1[3]) * small2[2];
low = a;
high = a >> 64;
out[5] += low;
out[6] += high;
- a = ((uint128_t) small1[3]) * small2[3];
+ a = ((uint128_t)small1[3]) * small2[3];
low = a;
high = a >> 64;
out[6] += low;
@@ -704,7 +698,7 @@ static void felem_mul(longfelem out, const felem in1, const felem in2)
* out[i] < 7 * 2^64 < 2^67
*/
static void felem_small_mul(longfelem out, const smallfelem small1,
- const felem in2)
+ const felem in2)
{
smallfelem small2;
felem_shrink(small2, in2);
@@ -715,8 +709,7 @@ static void felem_small_mul(longfelem out, const smallfelem small1,
#define two100 (((limb)1) << 100)
#define two100m36p4 (((limb)1) << 100) - (((limb)1) << 36) + (((limb)1) << 4)
/* zero100 is 0 mod p */
-static const felem zero100 =
- { two100m36m4, two100, two100m36p4, two100m36p4 };
+static const felem zero100 = { two100m36m4, two100, two100m36p4, two100m36p4 };
/*-
* Internal function for the different flavours of felem_reduce.
@@ -859,7 +852,7 @@ static void felem_contract(smallfelem out, const felem in)
*/
for (i = 3; i < 4; i--) {
u64 equal;
- uint128_t a = ((uint128_t) kPrime[i]) - out[i];
+ uint128_t a = ((uint128_t)kPrime[i]) - out[i];
/*
* if out[i] > kPrime[i] then a will underflow and the high 64-bits
* will all be set.
@@ -916,7 +909,7 @@ static void smallfelem_square_contract(smallfelem out, const smallfelem in)
}
static void smallfelem_mul_contract(smallfelem out, const smallfelem in1,
- const smallfelem in2)
+ const smallfelem in2)
{
longfelem longtmp;
felem tmp;
@@ -947,9 +940,7 @@ static limb smallfelem_is_zero(const smallfelem small)
is_zero &= is_zero << 1;
is_zero = 0 - (is_zero >> 63);
- is_p = (small[0] ^ kPrime[0]) |
- (small[1] ^ kPrime[1]) |
- (small[2] ^ kPrime[2]) | (small[3] ^ kPrime[3]);
+ is_p = (small[0] ^ kPrime[0]) | (small[1] ^ kPrime[1]) | (small[2] ^ kPrime[2]) | (small[3] ^ kPrime[3]);
is_p--;
is_p &= is_p << 32;
is_p &= is_p << 16;
@@ -962,13 +953,13 @@ static limb smallfelem_is_zero(const smallfelem small)
is_zero |= is_p;
result = is_zero;
- result |= ((limb) is_zero) << 64;
+ result |= ((limb)is_zero) << 64;
return result;
}
static int smallfelem_is_zero_int(const void *small)
{
- return (int)(smallfelem_is_zero(small) & ((limb) 1));
+ return (int)(smallfelem_is_zero(small) & ((limb)1));
}
/*-
@@ -988,89 +979,89 @@ static void felem_inv(felem out, const felem in)
unsigned i;
felem_square(tmp, in);
- felem_reduce(ftmp, tmp); /* 2^1 */
+ felem_reduce(ftmp, tmp); /* 2^1 */
felem_mul(tmp, in, ftmp);
- felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */
felem_assign(e2, ftmp);
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */
+ felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^4 - 2^2 */
+ felem_reduce(ftmp, tmp); /* 2^4 - 2^2 */
felem_mul(tmp, ftmp, e2);
- felem_reduce(ftmp, tmp); /* 2^4 - 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^4 - 2^0 */
felem_assign(e4, ftmp);
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^5 - 2^1 */
+ felem_reduce(ftmp, tmp); /* 2^5 - 2^1 */
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^6 - 2^2 */
+ felem_reduce(ftmp, tmp); /* 2^6 - 2^2 */
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^7 - 2^3 */
+ felem_reduce(ftmp, tmp); /* 2^7 - 2^3 */
felem_square(tmp, ftmp);
- felem_reduce(ftmp, tmp); /* 2^8 - 2^4 */
+ felem_reduce(ftmp, tmp); /* 2^8 - 2^4 */
felem_mul(tmp, ftmp, e4);
- felem_reduce(ftmp, tmp); /* 2^8 - 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^8 - 2^0 */
felem_assign(e8, ftmp);
for (i = 0; i < 8; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
- } /* 2^16 - 2^8 */
+ } /* 2^16 - 2^8 */
felem_mul(tmp, ftmp, e8);
- felem_reduce(ftmp, tmp); /* 2^16 - 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^16 - 2^0 */
felem_assign(e16, ftmp);
for (i = 0; i < 16; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
- } /* 2^32 - 2^16 */
+ } /* 2^32 - 2^16 */
felem_mul(tmp, ftmp, e16);
- felem_reduce(ftmp, tmp); /* 2^32 - 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^32 - 2^0 */
felem_assign(e32, ftmp);
for (i = 0; i < 32; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
- } /* 2^64 - 2^32 */
+ } /* 2^64 - 2^32 */
felem_assign(e64, ftmp);
felem_mul(tmp, ftmp, in);
- felem_reduce(ftmp, tmp); /* 2^64 - 2^32 + 2^0 */
+ felem_reduce(ftmp, tmp); /* 2^64 - 2^32 + 2^0 */
for (i = 0; i < 192; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
- } /* 2^256 - 2^224 + 2^192 */
+ } /* 2^256 - 2^224 + 2^192 */
felem_mul(tmp, e64, e32);
- felem_reduce(ftmp2, tmp); /* 2^64 - 2^0 */
+ felem_reduce(ftmp2, tmp); /* 2^64 - 2^0 */
for (i = 0; i < 16; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
- } /* 2^80 - 2^16 */
+ } /* 2^80 - 2^16 */
felem_mul(tmp, ftmp2, e16);
- felem_reduce(ftmp2, tmp); /* 2^80 - 2^0 */
+ felem_reduce(ftmp2, tmp); /* 2^80 - 2^0 */
for (i = 0; i < 8; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
- } /* 2^88 - 2^8 */
+ } /* 2^88 - 2^8 */
felem_mul(tmp, ftmp2, e8);
- felem_reduce(ftmp2, tmp); /* 2^88 - 2^0 */
+ felem_reduce(ftmp2, tmp); /* 2^88 - 2^0 */
for (i = 0; i < 4; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
- } /* 2^92 - 2^4 */
+ } /* 2^92 - 2^4 */
felem_mul(tmp, ftmp2, e4);
- felem_reduce(ftmp2, tmp); /* 2^92 - 2^0 */
+ felem_reduce(ftmp2, tmp); /* 2^92 - 2^0 */
felem_square(tmp, ftmp2);
- felem_reduce(ftmp2, tmp); /* 2^93 - 2^1 */
+ felem_reduce(ftmp2, tmp); /* 2^93 - 2^1 */
felem_square(tmp, ftmp2);
- felem_reduce(ftmp2, tmp); /* 2^94 - 2^2 */
+ felem_reduce(ftmp2, tmp); /* 2^94 - 2^2 */
felem_mul(tmp, ftmp2, e2);
- felem_reduce(ftmp2, tmp); /* 2^94 - 2^0 */
+ felem_reduce(ftmp2, tmp); /* 2^94 - 2^0 */
felem_square(tmp, ftmp2);
- felem_reduce(ftmp2, tmp); /* 2^95 - 2^1 */
+ felem_reduce(ftmp2, tmp); /* 2^95 - 2^1 */
felem_square(tmp, ftmp2);
- felem_reduce(ftmp2, tmp); /* 2^96 - 2^2 */
+ felem_reduce(ftmp2, tmp); /* 2^96 - 2^2 */
felem_mul(tmp, ftmp2, in);
- felem_reduce(ftmp2, tmp); /* 2^96 - 3 */
+ felem_reduce(ftmp2, tmp); /* 2^96 - 3 */
felem_mul(tmp, ftmp2, ftmp);
- felem_reduce(out, tmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */
+ felem_reduce(out, tmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */
}
static void smallfelem_inv_contract(smallfelem out, const smallfelem in)
@@ -1102,7 +1093,7 @@ static void smallfelem_inv_contract(smallfelem out, const smallfelem in)
*/
static void
point_double(felem x_out, felem y_out, felem z_out,
- const felem x_in, const felem y_in, const felem z_in)
+ const felem x_in, const felem y_in, const felem z_in)
{
longfelem tmp, tmp2;
felem delta, gamma, beta, alpha, ftmp, ftmp2;
@@ -1184,8 +1175,8 @@ point_double(felem x_out, felem y_out, felem z_out,
*/
static void
point_double_small(smallfelem x_out, smallfelem y_out, smallfelem z_out,
- const smallfelem x_in, const smallfelem y_in,
- const smallfelem z_in)
+ const smallfelem x_in, const smallfelem y_in,
+ const smallfelem z_in)
{
felem felem_x_out, felem_y_out, felem_z_out;
felem felem_x_in, felem_y_in, felem_z_in;
@@ -1194,7 +1185,7 @@ point_double_small(smallfelem x_out, smallfelem y_out, smallfelem z_out,
smallfelem_expand(felem_y_in, y_in);
smallfelem_expand(felem_z_in, z_in);
point_double(felem_x_out, felem_y_out, felem_z_out,
- felem_x_in, felem_y_in, felem_z_in);
+ felem_x_in, felem_y_in, felem_z_in);
felem_shrink(x_out, felem_x_out);
felem_shrink(y_out, felem_y_out);
felem_shrink(z_out, felem_z_out);
@@ -1216,7 +1207,7 @@ static void copy_small_conditional(felem out, const smallfelem in, limb mask)
unsigned i;
const u64 mask64 = mask;
for (i = 0; i < NLIMBS; ++i) {
- out[i] = ((limb) (in[i] & mask64)) | (out[i] & ~mask);
+ out[i] = ((limb)(in[i] & mask64)) | (out[i] & ~mask);
}
}
@@ -1233,9 +1224,9 @@ static void copy_small_conditional(felem out, const smallfelem in, limb mask)
* ECDH or ECDSA signing.
*/
static void point_add(felem x3, felem y3, felem z3,
- const felem x1, const felem y1, const felem z1,
- const int mixed, const smallfelem x2,
- const smallfelem y2, const smallfelem z2)
+ const felem x1, const felem y1, const felem z1,
+ const int mixed, const smallfelem x2,
+ const smallfelem y2, const smallfelem z2)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out;
longfelem tmp, tmp2;
@@ -1418,8 +1409,8 @@ static void point_add(felem x3, felem y3, felem z3,
* smallfelems
*/
static void point_add_small(smallfelem x3, smallfelem y3, smallfelem z3,
- smallfelem x1, smallfelem y1, smallfelem z1,
- smallfelem x2, smallfelem y2, smallfelem z2)
+ smallfelem x1, smallfelem y1, smallfelem z1,
+ smallfelem x2, smallfelem y2, smallfelem z2)
{
felem felem_x3, felem_y3, felem_z3;
felem felem_x1, felem_y1, felem_z1;
@@ -1427,7 +1418,7 @@ static void point_add_small(smallfelem x3, smallfelem y3, smallfelem z3,
smallfelem_expand(felem_y1, y1);
smallfelem_expand(felem_z1, z1);
point_add(felem_x3, felem_y3, felem_z3, felem_x1, felem_y1, felem_z1, 0,
- x2, y2, z2);
+ x2, y2, z2);
felem_shrink(x3, felem_x3);
felem_shrink(y3, felem_y3);
felem_shrink(z3, felem_z3);
@@ -1471,162 +1462,162 @@ static void point_add_small(smallfelem x3, smallfelem y3, smallfelem z3,
/* gmul is the table of precomputed base points */
static const smallfelem gmul[2][16][3] = {
- {{{0, 0, 0, 0},
- {0, 0, 0, 0},
- {0, 0, 0, 0}},
- {{0xf4a13945d898c296, 0x77037d812deb33a0, 0xf8bce6e563a440f2,
- 0x6b17d1f2e12c4247},
- {0xcbb6406837bf51f5, 0x2bce33576b315ece, 0x8ee7eb4a7c0f9e16,
- 0x4fe342e2fe1a7f9b},
- {1, 0, 0, 0}},
- {{0x90e75cb48e14db63, 0x29493baaad651f7e, 0x8492592e326e25de,
- 0x0fa822bc2811aaa5},
- {0xe41124545f462ee7, 0x34b1a65050fe82f5, 0x6f4ad4bcb3df188b,
- 0xbff44ae8f5dba80d},
- {1, 0, 0, 0}},
- {{0x93391ce2097992af, 0xe96c98fd0d35f1fa, 0xb257c0de95e02789,
- 0x300a4bbc89d6726f},
- {0xaa54a291c08127a0, 0x5bb1eeada9d806a5, 0x7f1ddb25ff1e3c6f,
- 0x72aac7e0d09b4644},
- {1, 0, 0, 0}},
- {{0x57c84fc9d789bd85, 0xfc35ff7dc297eac3, 0xfb982fd588c6766e,
- 0x447d739beedb5e67},
- {0x0c7e33c972e25b32, 0x3d349b95a7fae500, 0xe12e9d953a4aaff7,
- 0x2d4825ab834131ee},
- {1, 0, 0, 0}},
- {{0x13949c932a1d367f, 0xef7fbd2b1a0a11b7, 0xddc6068bb91dfc60,
- 0xef9519328a9c72ff},
- {0x196035a77376d8a8, 0x23183b0895ca1740, 0xc1ee9807022c219c,
- 0x611e9fc37dbb2c9b},
- {1, 0, 0, 0}},
- {{0xcae2b1920b57f4bc, 0x2936df5ec6c9bc36, 0x7dea6482e11238bf,
- 0x550663797b51f5d8},
- {0x44ffe216348a964c, 0x9fb3d576dbdefbe1, 0x0afa40018d9d50e5,
- 0x157164848aecb851},
- {1, 0, 0, 0}},
- {{0xe48ecafffc5cde01, 0x7ccd84e70d715f26, 0xa2e8f483f43e4391,
- 0xeb5d7745b21141ea},
- {0xcac917e2731a3479, 0x85f22cfe2844b645, 0x0990e6a158006cee,
- 0xeafd72ebdbecc17b},
- {1, 0, 0, 0}},
- {{0x6cf20ffb313728be, 0x96439591a3c6b94a, 0x2736ff8344315fc5,
- 0xa6d39677a7849276},
- {0xf2bab833c357f5f4, 0x824a920c2284059b, 0x66b8babd2d27ecdf,
- 0x674f84749b0b8816},
- {1, 0, 0, 0}},
- {{0x2df48c04677c8a3e, 0x74e02f080203a56b, 0x31855f7db8c7fedb,
- 0x4e769e7672c9ddad},
- {0xa4c36165b824bbb0, 0xfb9ae16f3b9122a5, 0x1ec0057206947281,
- 0x42b99082de830663},
- {1, 0, 0, 0}},
- {{0x6ef95150dda868b9, 0xd1f89e799c0ce131, 0x7fdc1ca008a1c478,
- 0x78878ef61c6ce04d},
- {0x9c62b9121fe0d976, 0x6ace570ebde08d4f, 0xde53142c12309def,
- 0xb6cb3f5d7b72c321},
- {1, 0, 0, 0}},
- {{0x7f991ed2c31a3573, 0x5b82dd5bd54fb496, 0x595c5220812ffcae,
- 0x0c88bc4d716b1287},
- {0x3a57bf635f48aca8, 0x7c8181f4df2564f3, 0x18d1b5b39c04e6aa,
- 0xdd5ddea3f3901dc6},
- {1, 0, 0, 0}},
- {{0xe96a79fb3e72ad0c, 0x43a0a28c42ba792f, 0xefe0a423083e49f3,
- 0x68f344af6b317466},
- {0xcdfe17db3fb24d4a, 0x668bfc2271f5c626, 0x604ed93c24d67ff3,
- 0x31b9c405f8540a20},
- {1, 0, 0, 0}},
- {{0xd36b4789a2582e7f, 0x0d1a10144ec39c28, 0x663c62c3edbad7a0,
- 0x4052bf4b6f461db9},
- {0x235a27c3188d25eb, 0xe724f33999bfcc5b, 0x862be6bd71d70cc8,
- 0xfecf4d5190b0fc61},
- {1, 0, 0, 0}},
- {{0x74346c10a1d4cfac, 0xafdf5cc08526a7a4, 0x123202a8f62bff7a,
- 0x1eddbae2c802e41a},
- {0x8fa0af2dd603f844, 0x36e06b7e4c701917, 0x0c45f45273db33a0,
- 0x43104d86560ebcfc},
- {1, 0, 0, 0}},
- {{0x9615b5110d1d78e5, 0x66b0de3225c4744b, 0x0a4a46fb6aaf363a,
- 0xb48e26b484f7a21c},
- {0x06ebb0f621a01b2d, 0xc004e4048b7b0f98, 0x64131bcdfed6f668,
- 0xfac015404d4d3dab},
- {1, 0, 0, 0}}},
- {{{0, 0, 0, 0},
- {0, 0, 0, 0},
- {0, 0, 0, 0}},
- {{0x3a5a9e22185a5943, 0x1ab919365c65dfb6, 0x21656b32262c71da,
- 0x7fe36b40af22af89},
- {0xd50d152c699ca101, 0x74b3d5867b8af212, 0x9f09f40407dca6f1,
- 0xe697d45825b63624},
- {1, 0, 0, 0}},
- {{0xa84aa9397512218e, 0xe9a521b074ca0141, 0x57880b3a18a2e902,
- 0x4a5b506612a677a6},
- {0x0beada7a4c4f3840, 0x626db15419e26d9d, 0xc42604fbe1627d40,
- 0xeb13461ceac089f1},
- {1, 0, 0, 0}},
- {{0xf9faed0927a43281, 0x5e52c4144103ecbc, 0xc342967aa815c857,
- 0x0781b8291c6a220a},
- {0x5a8343ceeac55f80, 0x88f80eeee54a05e3, 0x97b2a14f12916434,
- 0x690cde8df0151593},
- {1, 0, 0, 0}},
- {{0xaee9c75df7f82f2a, 0x9e4c35874afdf43a, 0xf5622df437371326,
- 0x8a535f566ec73617},
- {0xc5f9a0ac223094b7, 0xcde533864c8c7669, 0x37e02819085a92bf,
- 0x0455c08468b08bd7},
- {1, 0, 0, 0}},
- {{0x0c0a6e2c9477b5d9, 0xf9a4bf62876dc444, 0x5050a949b6cdc279,
- 0x06bada7ab77f8276},
- {0xc8b4aed1ea48dac9, 0xdebd8a4b7ea1070f, 0x427d49101366eb70,
- 0x5b476dfd0e6cb18a},
- {1, 0, 0, 0}},
- {{0x7c5c3e44278c340a, 0x4d54606812d66f3b, 0x29a751b1ae23c5d8,
- 0x3e29864e8a2ec908},
- {0x142d2a6626dbb850, 0xad1744c4765bd780, 0x1f150e68e322d1ed,
- 0x239b90ea3dc31e7e},
- {1, 0, 0, 0}},
- {{0x78c416527a53322a, 0x305dde6709776f8e, 0xdbcab759f8862ed4,
- 0x820f4dd949f72ff7},
- {0x6cc544a62b5debd4, 0x75be5d937b4e8cc4, 0x1b481b1b215c14d3,
- 0x140406ec783a05ec},
- {1, 0, 0, 0}},
- {{0x6a703f10e895df07, 0xfd75f3fa01876bd8, 0xeb5b06e70ce08ffe,
- 0x68f6b8542783dfee},
- {0x90c76f8a78712655, 0xcf5293d2f310bf7f, 0xfbc8044dfda45028,
- 0xcbe1feba92e40ce6},
- {1, 0, 0, 0}},
- {{0xe998ceea4396e4c1, 0xfc82ef0b6acea274, 0x230f729f2250e927,
- 0xd0b2f94d2f420109},
- {0x4305adddb38d4966, 0x10b838f8624c3b45, 0x7db2636658954e7a,
- 0x971459828b0719e5},
- {1, 0, 0, 0}},
- {{0x4bd6b72623369fc9, 0x57f2929e53d0b876, 0xc2d5cba4f2340687,
- 0x961610004a866aba},
- {0x49997bcd2e407a5e, 0x69ab197d92ddcb24, 0x2cf1f2438fe5131c,
- 0x7acb9fadcee75e44},
- {1, 0, 0, 0}},
- {{0x254e839423d2d4c0, 0xf57f0c917aea685b, 0xa60d880f6f75aaea,
- 0x24eb9acca333bf5b},
- {0xe3de4ccb1cda5dea, 0xfeef9341c51a6b4f, 0x743125f88bac4c4d,
- 0x69f891c5acd079cc},
- {1, 0, 0, 0}},
- {{0xeee44b35702476b5, 0x7ed031a0e45c2258, 0xb422d1e7bd6f8514,
- 0xe51f547c5972a107},
- {0xa25bcd6fc9cf343d, 0x8ca922ee097c184e, 0xa62f98b3a9fe9a06,
- 0x1c309a2b25bb1387},
- {1, 0, 0, 0}},
- {{0x9295dbeb1967c459, 0xb00148833472c98e, 0xc504977708011828,
- 0x20b87b8aa2c4e503},
- {0x3063175de057c277, 0x1bd539338fe582dd, 0x0d11adef5f69a044,
- 0xf5c6fa49919776be},
- {1, 0, 0, 0}},
- {{0x8c944e760fd59e11, 0x3876cba1102fad5f, 0xa454c3fad83faa56,
- 0x1ed7d1b9332010b9},
- {0xa1011a270024b889, 0x05e4d0dcac0cd344, 0x52b520f0eb6a2a24,
- 0x3a2b03f03217257a},
- {1, 0, 0, 0}},
- {{0xf20fc2afdf1d043d, 0xf330240db58d5a62, 0xfc7d229ca0058c3b,
- 0x15fee545c78dd9f6},
- {0x501e82885bc98cda, 0x41ef80e5d046ac04, 0x557d9f49461210fb,
- 0x4ab5b6b2b8753f81},
- {1, 0, 0, 0}}}
+ { { { 0, 0, 0, 0 },
+ { 0, 0, 0, 0 },
+ { 0, 0, 0, 0 } },
+ { { 0xf4a13945d898c296, 0x77037d812deb33a0, 0xf8bce6e563a440f2,
+ 0x6b17d1f2e12c4247 },
+ { 0xcbb6406837bf51f5, 0x2bce33576b315ece, 0x8ee7eb4a7c0f9e16,
+ 0x4fe342e2fe1a7f9b },
+ { 1, 0, 0, 0 } },
+ { { 0x90e75cb48e14db63, 0x29493baaad651f7e, 0x8492592e326e25de,
+ 0x0fa822bc2811aaa5 },
+ { 0xe41124545f462ee7, 0x34b1a65050fe82f5, 0x6f4ad4bcb3df188b,
+ 0xbff44ae8f5dba80d },
+ { 1, 0, 0, 0 } },
+ { { 0x93391ce2097992af, 0xe96c98fd0d35f1fa, 0xb257c0de95e02789,
+ 0x300a4bbc89d6726f },
+ { 0xaa54a291c08127a0, 0x5bb1eeada9d806a5, 0x7f1ddb25ff1e3c6f,
+ 0x72aac7e0d09b4644 },
+ { 1, 0, 0, 0 } },
+ { { 0x57c84fc9d789bd85, 0xfc35ff7dc297eac3, 0xfb982fd588c6766e,
+ 0x447d739beedb5e67 },
+ { 0x0c7e33c972e25b32, 0x3d349b95a7fae500, 0xe12e9d953a4aaff7,
+ 0x2d4825ab834131ee },
+ { 1, 0, 0, 0 } },
+ { { 0x13949c932a1d367f, 0xef7fbd2b1a0a11b7, 0xddc6068bb91dfc60,
+ 0xef9519328a9c72ff },
+ { 0x196035a77376d8a8, 0x23183b0895ca1740, 0xc1ee9807022c219c,
+ 0x611e9fc37dbb2c9b },
+ { 1, 0, 0, 0 } },
+ { { 0xcae2b1920b57f4bc, 0x2936df5ec6c9bc36, 0x7dea6482e11238bf,
+ 0x550663797b51f5d8 },
+ { 0x44ffe216348a964c, 0x9fb3d576dbdefbe1, 0x0afa40018d9d50e5,
+ 0x157164848aecb851 },
+ { 1, 0, 0, 0 } },
+ { { 0xe48ecafffc5cde01, 0x7ccd84e70d715f26, 0xa2e8f483f43e4391,
+ 0xeb5d7745b21141ea },
+ { 0xcac917e2731a3479, 0x85f22cfe2844b645, 0x0990e6a158006cee,
+ 0xeafd72ebdbecc17b },
+ { 1, 0, 0, 0 } },
+ { { 0x6cf20ffb313728be, 0x96439591a3c6b94a, 0x2736ff8344315fc5,
+ 0xa6d39677a7849276 },
+ { 0xf2bab833c357f5f4, 0x824a920c2284059b, 0x66b8babd2d27ecdf,
+ 0x674f84749b0b8816 },
+ { 1, 0, 0, 0 } },
+ { { 0x2df48c04677c8a3e, 0x74e02f080203a56b, 0x31855f7db8c7fedb,
+ 0x4e769e7672c9ddad },
+ { 0xa4c36165b824bbb0, 0xfb9ae16f3b9122a5, 0x1ec0057206947281,
+ 0x42b99082de830663 },
+ { 1, 0, 0, 0 } },
+ { { 0x6ef95150dda868b9, 0xd1f89e799c0ce131, 0x7fdc1ca008a1c478,
+ 0x78878ef61c6ce04d },
+ { 0x9c62b9121fe0d976, 0x6ace570ebde08d4f, 0xde53142c12309def,
+ 0xb6cb3f5d7b72c321 },
+ { 1, 0, 0, 0 } },
+ { { 0x7f991ed2c31a3573, 0x5b82dd5bd54fb496, 0x595c5220812ffcae,
+ 0x0c88bc4d716b1287 },
+ { 0x3a57bf635f48aca8, 0x7c8181f4df2564f3, 0x18d1b5b39c04e6aa,
+ 0xdd5ddea3f3901dc6 },
+ { 1, 0, 0, 0 } },
+ { { 0xe96a79fb3e72ad0c, 0x43a0a28c42ba792f, 0xefe0a423083e49f3,
+ 0x68f344af6b317466 },
+ { 0xcdfe17db3fb24d4a, 0x668bfc2271f5c626, 0x604ed93c24d67ff3,
+ 0x31b9c405f8540a20 },
+ { 1, 0, 0, 0 } },
+ { { 0xd36b4789a2582e7f, 0x0d1a10144ec39c28, 0x663c62c3edbad7a0,
+ 0x4052bf4b6f461db9 },
+ { 0x235a27c3188d25eb, 0xe724f33999bfcc5b, 0x862be6bd71d70cc8,
+ 0xfecf4d5190b0fc61 },
+ { 1, 0, 0, 0 } },
+ { { 0x74346c10a1d4cfac, 0xafdf5cc08526a7a4, 0x123202a8f62bff7a,
+ 0x1eddbae2c802e41a },
+ { 0x8fa0af2dd603f844, 0x36e06b7e4c701917, 0x0c45f45273db33a0,
+ 0x43104d86560ebcfc },
+ { 1, 0, 0, 0 } },
+ { { 0x9615b5110d1d78e5, 0x66b0de3225c4744b, 0x0a4a46fb6aaf363a,
+ 0xb48e26b484f7a21c },
+ { 0x06ebb0f621a01b2d, 0xc004e4048b7b0f98, 0x64131bcdfed6f668,
+ 0xfac015404d4d3dab },
+ { 1, 0, 0, 0 } } },
+ { { { 0, 0, 0, 0 },
+ { 0, 0, 0, 0 },
+ { 0, 0, 0, 0 } },
+ { { 0x3a5a9e22185a5943, 0x1ab919365c65dfb6, 0x21656b32262c71da,
+ 0x7fe36b40af22af89 },
+ { 0xd50d152c699ca101, 0x74b3d5867b8af212, 0x9f09f40407dca6f1,
+ 0xe697d45825b63624 },
+ { 1, 0, 0, 0 } },
+ { { 0xa84aa9397512218e, 0xe9a521b074ca0141, 0x57880b3a18a2e902,
+ 0x4a5b506612a677a6 },
+ { 0x0beada7a4c4f3840, 0x626db15419e26d9d, 0xc42604fbe1627d40,
+ 0xeb13461ceac089f1 },
+ { 1, 0, 0, 0 } },
+ { { 0xf9faed0927a43281, 0x5e52c4144103ecbc, 0xc342967aa815c857,
+ 0x0781b8291c6a220a },
+ { 0x5a8343ceeac55f80, 0x88f80eeee54a05e3, 0x97b2a14f12916434,
+ 0x690cde8df0151593 },
+ { 1, 0, 0, 0 } },
+ { { 0xaee9c75df7f82f2a, 0x9e4c35874afdf43a, 0xf5622df437371326,
+ 0x8a535f566ec73617 },
+ { 0xc5f9a0ac223094b7, 0xcde533864c8c7669, 0x37e02819085a92bf,
+ 0x0455c08468b08bd7 },
+ { 1, 0, 0, 0 } },
+ { { 0x0c0a6e2c9477b5d9, 0xf9a4bf62876dc444, 0x5050a949b6cdc279,
+ 0x06bada7ab77f8276 },
+ { 0xc8b4aed1ea48dac9, 0xdebd8a4b7ea1070f, 0x427d49101366eb70,
+ 0x5b476dfd0e6cb18a },
+ { 1, 0, 0, 0 } },
+ { { 0x7c5c3e44278c340a, 0x4d54606812d66f3b, 0x29a751b1ae23c5d8,
+ 0x3e29864e8a2ec908 },
+ { 0x142d2a6626dbb850, 0xad1744c4765bd780, 0x1f150e68e322d1ed,
+ 0x239b90ea3dc31e7e },
+ { 1, 0, 0, 0 } },
+ { { 0x78c416527a53322a, 0x305dde6709776f8e, 0xdbcab759f8862ed4,
+ 0x820f4dd949f72ff7 },
+ { 0x6cc544a62b5debd4, 0x75be5d937b4e8cc4, 0x1b481b1b215c14d3,
+ 0x140406ec783a05ec },
+ { 1, 0, 0, 0 } },
+ { { 0x6a703f10e895df07, 0xfd75f3fa01876bd8, 0xeb5b06e70ce08ffe,
+ 0x68f6b8542783dfee },
+ { 0x90c76f8a78712655, 0xcf5293d2f310bf7f, 0xfbc8044dfda45028,
+ 0xcbe1feba92e40ce6 },
+ { 1, 0, 0, 0 } },
+ { { 0xe998ceea4396e4c1, 0xfc82ef0b6acea274, 0x230f729f2250e927,
+ 0xd0b2f94d2f420109 },
+ { 0x4305adddb38d4966, 0x10b838f8624c3b45, 0x7db2636658954e7a,
+ 0x971459828b0719e5 },
+ { 1, 0, 0, 0 } },
+ { { 0x4bd6b72623369fc9, 0x57f2929e53d0b876, 0xc2d5cba4f2340687,
+ 0x961610004a866aba },
+ { 0x49997bcd2e407a5e, 0x69ab197d92ddcb24, 0x2cf1f2438fe5131c,
+ 0x7acb9fadcee75e44 },
+ { 1, 0, 0, 0 } },
+ { { 0x254e839423d2d4c0, 0xf57f0c917aea685b, 0xa60d880f6f75aaea,
+ 0x24eb9acca333bf5b },
+ { 0xe3de4ccb1cda5dea, 0xfeef9341c51a6b4f, 0x743125f88bac4c4d,
+ 0x69f891c5acd079cc },
+ { 1, 0, 0, 0 } },
+ { { 0xeee44b35702476b5, 0x7ed031a0e45c2258, 0xb422d1e7bd6f8514,
+ 0xe51f547c5972a107 },
+ { 0xa25bcd6fc9cf343d, 0x8ca922ee097c184e, 0xa62f98b3a9fe9a06,
+ 0x1c309a2b25bb1387 },
+ { 1, 0, 0, 0 } },
+ { { 0x9295dbeb1967c459, 0xb00148833472c98e, 0xc504977708011828,
+ 0x20b87b8aa2c4e503 },
+ { 0x3063175de057c277, 0x1bd539338fe582dd, 0x0d11adef5f69a044,
+ 0xf5c6fa49919776be },
+ { 1, 0, 0, 0 } },
+ { { 0x8c944e760fd59e11, 0x3876cba1102fad5f, 0xa454c3fad83faa56,
+ 0x1ed7d1b9332010b9 },
+ { 0xa1011a270024b889, 0x05e4d0dcac0cd344, 0x52b520f0eb6a2a24,
+ 0x3a2b03f03217257a },
+ { 1, 0, 0, 0 } },
+ { { 0xf20fc2afdf1d043d, 0xf330240db58d5a62, 0xfc7d229ca0058c3b,
+ 0x15fee545c78dd9f6 },
+ { 0x501e82885bc98cda, 0x41ef80e5d046ac04, 0x557d9f49461210fb,
+ 0x4ab5b6b2b8753f81 },
+ { 1, 0, 0, 0 } } }
};
/*
@@ -1634,7 +1625,7 @@ static const smallfelem gmul[2][16][3] = {
* copies it to out.
*/
static void select_point(const u64 idx, unsigned int size,
- const smallfelem pre_comp[16][3], smallfelem out[3])
+ const smallfelem pre_comp[16][3], smallfelem out[3])
{
unsigned i, j;
u64 *outlimbs = &out[0][0];
@@ -1670,10 +1661,10 @@ static char get_bit(const felem_bytearray in, int i)
* Output point (X, Y, Z) is stored in x_out, y_out, z_out
*/
static void batch_mul(felem x_out, felem y_out, felem z_out,
- const felem_bytearray scalars[],
- const unsigned num_points, const u8 *g_scalar,
- const int mixed, const smallfelem pre_comp[][17][3],
- const smallfelem g_pre_comp[2][16][3])
+ const felem_bytearray scalars[],
+ const unsigned num_points, const u8 *g_scalar,
+ const int mixed, const smallfelem pre_comp[][17][3],
+ const smallfelem g_pre_comp[2][16][3])
{
int i, skip;
unsigned num, gen_mul = (g_scalar != NULL);
@@ -1690,8 +1681,8 @@ static void batch_mul(felem x_out, felem y_out, felem z_out,
* of the generator (two in each of the last 32 rounds) and additions of
* other points multiples (every 5th round).
*/
- skip = 1; /* save two point operations in the first
- * round */
+ skip = 1; /* save two point operations in the first
+ * round */
for (i = (num_points ? 255 : 31); i >= 0; --i) {
/* double */
if (!skip)
@@ -1710,7 +1701,7 @@ static void batch_mul(felem x_out, felem y_out, felem z_out,
if (!skip) {
/* Arg 1 below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
- nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
+ nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
} else {
smallfelem_expand(nq[0], tmp[0]);
smallfelem_expand(nq[1], tmp[1]);
@@ -1727,7 +1718,7 @@ static void batch_mul(felem x_out, felem y_out, felem z_out,
select_point(bits, 16, g_pre_comp[0], tmp);
/* Arg 1 below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
- nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
+ nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
}
/* do other additions every 5 doublings */
@@ -1748,13 +1739,13 @@ static void batch_mul(felem x_out, felem y_out, felem z_out,
select_point(digit, 17, pre_comp[num], tmp);
smallfelem_neg(ftmp, tmp[1]); /* (X, -Y, Z) is the negative
* point */
- copy_small_conditional(ftmp, tmp[1], (((limb) sign) - 1));
+ copy_small_conditional(ftmp, tmp[1], (((limb)sign) - 1));
felem_contract(tmp[1], ftmp);
if (!skip) {
point_add(nq[0], nq[1], nq[2],
- nq[0], nq[1], nq[2],
- mixed, tmp[0], tmp[1], tmp[2]);
+ nq[0], nq[1], nq[2],
+ mixed, tmp[0], tmp[1], tmp[2]);
} else {
smallfelem_expand(nq[0], tmp[0]);
smallfelem_expand(nq[1], tmp[1]);
@@ -1797,9 +1788,9 @@ const EC_METHOD *EC_GFp_nistp256_method(void)
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_nistp256_point_get_affine_coordinates,
- 0 /* point_set_compressed_coordinates */ ,
- 0 /* point2oct */ ,
- 0 /* oct2point */ ,
+ 0 /* point_set_compressed_coordinates */,
+ 0 /* point2oct */,
+ 0 /* oct2point */,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
@@ -1813,11 +1804,11 @@ const EC_METHOD *EC_GFp_nistp256_method(void)
ossl_ec_GFp_nistp256_have_precompute_mult,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
- 0 /* field_div */ ,
+ 0 /* field_div */,
ossl_ec_GFp_simple_field_inv,
- 0 /* field_encode */ ,
- 0 /* field_decode */ ,
- 0, /* field_set_to_one */
+ 0 /* field_encode */,
+ 0 /* field_decode */,
+ 0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
@@ -1834,7 +1825,7 @@ const EC_METHOD *EC_GFp_nistp256_method(void)
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
- 0 /* ladder_post */
+ 0 /* ladder_post */
};
return &ret;
@@ -1904,8 +1895,8 @@ int ossl_ec_GFp_nistp256_group_init(EC_GROUP *group)
}
int ossl_ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
- const BIGNUM *a, const BIGNUM *b,
- BN_CTX *ctx)
+ const BIGNUM *a, const BIGNUM *b,
+ BN_CTX *ctx)
{
int ret = 0;
BIGNUM *curve_p, *curve_a, *curve_b;
@@ -1933,7 +1924,7 @@ int ossl_ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
}
group->field_mod_func = BN_nist_mod_256;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
- err:
+err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
@@ -1946,9 +1937,9 @@ int ossl_ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
* (X/Z^2, Y/Z^3)
*/
int ossl_ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
- const EC_POINT *point,
- BIGNUM *x, BIGNUM *y,
- BN_CTX *ctx)
+ const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y,
+ BN_CTX *ctx)
{
felem z1, z2, x_in, y_in;
smallfelem x_out, y_out;
@@ -1958,8 +1949,7 @@ int ossl_ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
- if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
- (!BN_to_felem(z1, point->Z)))
+ if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) || (!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
@@ -1989,31 +1979,30 @@ int ossl_ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
/* points below is of size |num|, and tmp_smallfelems is of size |num+1| */
static void make_points_affine(size_t num, smallfelem points[][3],
- smallfelem tmp_smallfelems[])
+ smallfelem tmp_smallfelems[])
{
/*
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
ossl_ec_GFp_nistp_points_make_affine_internal(num,
- points,
- sizeof(smallfelem),
- tmp_smallfelems,
- (void (*)(void *))smallfelem_one,
- smallfelem_is_zero_int,
- (void (*)(void *, const void *))
- smallfelem_assign,
- (void (*)(void *, const void *))
- smallfelem_square_contract,
- (void (*)
- (void *, const void *,
- const void *))
- smallfelem_mul_contract,
- (void (*)(void *, const void *))
- smallfelem_inv_contract,
- /* nothing to contract */
- (void (*)(void *, const void *))
- smallfelem_assign);
+ points,
+ sizeof(smallfelem),
+ tmp_smallfelems,
+ (void (*)(void *))smallfelem_one,
+ smallfelem_is_zero_int,
+ (void (*)(void *, const void *))
+ smallfelem_assign,
+ (void (*)(void *, const void *))
+ smallfelem_square_contract,
+ (void (*)(void *, const void *,
+ const void *))
+ smallfelem_mul_contract,
+ (void (*)(void *, const void *))
+ smallfelem_inv_contract,
+ /* nothing to contract */
+ (void (*)(void *, const void *))
+ smallfelem_assign);
}
/*
@@ -2021,9 +2010,9 @@ static void make_points_affine(size_t num, smallfelem points[][3],
* values Result is stored in r (r can equal one of the inputs).
*/
int ossl_ec_GFp_nistp256_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 BIGNUM *scalar, size_t num,
+ const EC_POINT *points[],
+ const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
@@ -2031,7 +2020,7 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
- smallfelem (*pre_comp)[17][3] = NULL;
+ smallfelem(*pre_comp)[17][3] = NULL;
smallfelem *tmp_smallfelems = NULL;
unsigned i;
int num_bytes;
@@ -2065,15 +2054,13 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
if (generator == NULL)
goto err;
/* get the generator from precomputation */
- if (!smallfelem_to_BN(x, g_pre_comp[0][1][0]) ||
- !smallfelem_to_BN(y, g_pre_comp[0][1][1]) ||
- !smallfelem_to_BN(z, g_pre_comp[0][1][2])) {
+ if (!smallfelem_to_BN(x, g_pre_comp[0][1][0]) || !smallfelem_to_BN(y, g_pre_comp[0][1][1]) || !smallfelem_to_BN(z, g_pre_comp[0][1][2])) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
- generator,
- x, y, z, ctx))
+ generator,
+ x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
@@ -2096,8 +2083,7 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
secrets = OPENSSL_malloc(sizeof(*secrets) * num_points);
pre_comp = OPENSSL_malloc(sizeof(*pre_comp) * num_points);
if (mixed)
- tmp_smallfelems =
- OPENSSL_malloc(sizeof(*tmp_smallfelems) * (num_points * 17 + 1));
+ tmp_smallfelems = OPENSSL_malloc(sizeof(*tmp_smallfelems) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_smallfelems == NULL))) {
ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
@@ -2136,19 +2122,17 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar,
- secrets[i], sizeof(secrets[i]));
+ secrets[i], sizeof(secrets[i]));
} else {
num_bytes = BN_bn2lebinpad(p_scalar,
- secrets[i], sizeof(secrets[i]));
+ secrets[i], sizeof(secrets[i]));
}
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* precompute multiples */
- if ((!BN_to_felem(x_out, p->X)) ||
- (!BN_to_felem(y_out, p->Y)) ||
- (!BN_to_felem(z_out, p->Z)))
+ if ((!BN_to_felem(x_out, p->X)) || (!BN_to_felem(y_out, p->Y)) || (!BN_to_felem(z_out, p->Z)))
goto err;
felem_shrink(pre_comp[i][1][0], x_out);
felem_shrink(pre_comp[i][1][1], y_out);
@@ -2156,18 +2140,18 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
for (j = 2; j <= 16; ++j) {
if (j & 1) {
point_add_small(pre_comp[i][j][0], pre_comp[i][j][1],
- pre_comp[i][j][2], pre_comp[i][1][0],
- pre_comp[i][1][1], pre_comp[i][1][2],
- pre_comp[i][j - 1][0],
- pre_comp[i][j - 1][1],
- pre_comp[i][j - 1][2]);
+ pre_comp[i][j][2], pre_comp[i][1][0],
+ pre_comp[i][1][1], pre_comp[i][1][2],
+ pre_comp[i][j - 1][0],
+ pre_comp[i][j - 1][1],
+ pre_comp[i][j - 1][2]);
} else {
point_double_small(pre_comp[i][j][0],
- pre_comp[i][j][1],
- pre_comp[i][j][2],
- pre_comp[i][j / 2][0],
- pre_comp[i][j / 2][1],
- pre_comp[i][j / 2][2]);
+ pre_comp[i][j][1],
+ pre_comp[i][j][2],
+ pre_comp[i][j / 2][0],
+ pre_comp[i][j / 2][1],
+ pre_comp[i][j / 2][2]);
}
}
}
@@ -2195,28 +2179,27 @@ int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
}
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
- (const felem_bytearray(*))secrets, num_points,
- g_secret,
- mixed, (const smallfelem(*)[17][3])pre_comp, g_pre_comp);
+ (const felem_bytearray(*))secrets, num_points,
+ g_secret,
+ mixed, (const smallfelem(*)[17][3])pre_comp, g_pre_comp);
} else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
- (const felem_bytearray(*))secrets, num_points,
- NULL, mixed, (const smallfelem(*)[17][3])pre_comp, NULL);
+ (const felem_bytearray(*))secrets, num_points,
+ NULL, mixed, (const smallfelem(*)[17][3])pre_comp, NULL);
}
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
- if ((!smallfelem_to_BN(x, x_in)) || (!smallfelem_to_BN(y, y_in)) ||
- (!smallfelem_to_BN(z, z_in))) {
+ if ((!smallfelem_to_BN(x, x_in)) || (!smallfelem_to_BN(y, y_in)) || (!smallfelem_to_BN(z, z_in))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
- ctx);
+ ctx);
- err:
+err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
OPENSSL_free(secrets);
@@ -2272,9 +2255,7 @@ int ossl_ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
goto done;
}
- if ((!BN_to_felem(x_tmp, group->generator->X)) ||
- (!BN_to_felem(y_tmp, group->generator->Y)) ||
- (!BN_to_felem(z_tmp, group->generator->Z)))
+ if ((!BN_to_felem(x_tmp, group->generator->X)) || (!BN_to_felem(y_tmp, group->generator->Y)) || (!BN_to_felem(z_tmp, group->generator->Z)))
goto err;
felem_shrink(pre->g_pre_comp[0][1][0], x_tmp);
felem_shrink(pre->g_pre_comp[0][1][1], y_tmp);
@@ -2285,31 +2266,31 @@ int ossl_ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
*/
for (i = 1; i <= 8; i <<= 1) {
point_double_small(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
- pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0],
- pre->g_pre_comp[0][i][1],
- pre->g_pre_comp[0][i][2]);
+ pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0],
+ pre->g_pre_comp[0][i][1],
+ pre->g_pre_comp[0][i][2]);
for (j = 0; j < 31; ++j) {
point_double_small(pre->g_pre_comp[1][i][0],
- pre->g_pre_comp[1][i][1],
- pre->g_pre_comp[1][i][2],
- pre->g_pre_comp[1][i][0],
- pre->g_pre_comp[1][i][1],
- pre->g_pre_comp[1][i][2]);
+ pre->g_pre_comp[1][i][1],
+ pre->g_pre_comp[1][i][2],
+ pre->g_pre_comp[1][i][0],
+ pre->g_pre_comp[1][i][1],
+ pre->g_pre_comp[1][i][2]);
}
if (i == 8)
break;
point_double_small(pre->g_pre_comp[0][2 * i][0],
- pre->g_pre_comp[0][2 * i][1],
- pre->g_pre_comp[0][2 * i][2],
- pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
- pre->g_pre_comp[1][i][2]);
+ pre->g_pre_comp[0][2 * i][1],
+ pre->g_pre_comp[0][2 * i][2],
+ pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
+ pre->g_pre_comp[1][i][2]);
for (j = 0; j < 31; ++j) {
point_double_small(pre->g_pre_comp[0][2 * i][0],
- pre->g_pre_comp[0][2 * i][1],
- pre->g_pre_comp[0][2 * i][2],
- pre->g_pre_comp[0][2 * i][0],
- pre->g_pre_comp[0][2 * i][1],
- pre->g_pre_comp[0][2 * i][2]);
+ pre->g_pre_comp[0][2 * i][1],
+ pre->g_pre_comp[0][2 * i][2],
+ pre->g_pre_comp[0][2 * i][0],
+ pre->g_pre_comp[0][2 * i][1],
+ pre->g_pre_comp[0][2 * i][2]);
}
}
for (i = 0; i < 2; i++) {
@@ -2318,51 +2299,51 @@ int ossl_ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
/* the remaining multiples */
/* 2^64*G + 2^128*G resp. 2^96*G + 2^160*G */
point_add_small(pre->g_pre_comp[i][6][0], pre->g_pre_comp[i][6][1],
- pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0],
- pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2],
- pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
- pre->g_pre_comp[i][2][2]);
+ pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0],
+ pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2],
+ pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
+ pre->g_pre_comp[i][2][2]);
/* 2^64*G + 2^192*G resp. 2^96*G + 2^224*G */
point_add_small(pre->g_pre_comp[i][10][0], pre->g_pre_comp[i][10][1],
- pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0],
- pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
- pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
- pre->g_pre_comp[i][2][2]);
+ pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0],
+ pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
+ pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
+ pre->g_pre_comp[i][2][2]);
/* 2^128*G + 2^192*G resp. 2^160*G + 2^224*G */
point_add_small(pre->g_pre_comp[i][12][0], pre->g_pre_comp[i][12][1],
- pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0],
- pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
- pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1],
- pre->g_pre_comp[i][4][2]);
+ pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0],
+ pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
+ pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1],
+ pre->g_pre_comp[i][4][2]);
/*
* 2^64*G + 2^128*G + 2^192*G resp. 2^96*G + 2^160*G + 2^224*G
*/
point_add_small(pre->g_pre_comp[i][14][0], pre->g_pre_comp[i][14][1],
- pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0],
- pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2],
- pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
- pre->g_pre_comp[i][2][2]);
+ pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0],
+ pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2],
+ pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
+ pre->g_pre_comp[i][2][2]);
for (j = 1; j < 8; ++j) {
/* odd multiples: add G resp. 2^32*G */
point_add_small(pre->g_pre_comp[i][2 * j + 1][0],
- pre->g_pre_comp[i][2 * j + 1][1],
- pre->g_pre_comp[i][2 * j + 1][2],
- pre->g_pre_comp[i][2 * j][0],
- pre->g_pre_comp[i][2 * j][1],
- pre->g_pre_comp[i][2 * j][2],
- pre->g_pre_comp[i][1][0],
- pre->g_pre_comp[i][1][1],
- pre->g_pre_comp[i][1][2]);
+ pre->g_pre_comp[i][2 * j + 1][1],
+ pre->g_pre_comp[i][2 * j + 1][2],
+ pre->g_pre_comp[i][2 * j][0],
+ pre->g_pre_comp[i][2 * j][1],
+ pre->g_pre_comp[i][2 * j][2],
+ pre->g_pre_comp[i][1][0],
+ pre->g_pre_comp[i][1][1],
+ pre->g_pre_comp[i][1][2]);
}
}
make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_smallfelems);
- done:
+done:
SETPRECOMP(group, nistp256, pre);
pre = NULL;
ret = 1;
- err:
+err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
#ifndef FIPS_MODULE
generated by cgit v1.3 (git 2.53.0) at 2026-04-20 02:26:36 +0000