trustbridge/nss-cmake-static: nss/lib/freebl/ecl/ecp_256

annotate nss/lib/freebl/ecl/ecp_256_32.c @ 4:b513267f632f tip

Build DBM module

author	Andre Heinecke <andre.heinecke@intevation.de>
date	Tue, 05 Aug 2014 18:58:03 +0200
parents	1e5118fa0cb1
children

rev	line source
0 1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1 /* This Source Code Form is subject to the terms of the Mozilla Public
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	2 * License, v. 2.0. If a copy of the MPL was not distributed with this
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	4
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	5 /* A 32-bit implementation of the NIST P-256 elliptic curve. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	6
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	7 #include <string.h>
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	8
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	9 #include "prtypes.h"
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	10 #include "mpi.h"
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	11 #include "mpi-priv.h"
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	12 #include "ecp.h"
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	13
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	14 typedef PRUint8 u8;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	15 typedef PRUint32 u32;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	16 typedef PRUint64 u64;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	17
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	18 /* Our field elements are represented as nine, unsigned 32-bit words. Freebl's
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	19 * MPI library calls them digits, but here they are called limbs, which is
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	20 * GMP's terminology.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	21 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	22 * The value of an felem (field element) is:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	23 * x[0] + (x[1] * 2*29) + (x[2] 2*57) + ... + (x[8] 2**228)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	24 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	25 * That is, each limb is alternately 29 or 28-bits wide in little-endian
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	26 * order.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	27 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	28 * This means that an felem hits 2257, rather than 2256 as we would like. A
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	29 * 28, 29, ... pattern would cause us to hit 2**256, but that causes problems
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	30 * when multiplying as terms end up one bit short of a limb which would require
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	31 * much bit-shifting to correct.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	32 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	33 * Finally, the values stored in an felem are in Montgomery form. So the value
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	34 * \|y\| is stored as (yR) mod p, where p is the P-256 prime and R is 2*257.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	35 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	36 typedef u32 limb;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	37 #define NLIMBS 9
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	38 typedef limb felem[NLIMBS];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	39
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	40 static const limb kBottom28Bits = 0xfffffff;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	41 static const limb kBottom29Bits = 0x1fffffff;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	42
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	43 /* kOne is the number 1 as an felem. It's 2**257 mod p split up into 29 and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	44 * 28-bit words.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	45 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	46 static const felem kOne = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	47 2, 0, 0, 0xffff800,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	48 0x1fffffff, 0xfffffff, 0x1fbfffff, 0x1ffffff,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	49 0
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	50 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	51 static const felem kZero = {0};
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	52 static const felem kP = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	53 0x1fffffff, 0xfffffff, 0x1fffffff, 0x3ff,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	54 0, 0, 0x200000, 0xf000000,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	55 0xfffffff
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	56 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	57 static const felem k2P = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	58 0x1ffffffe, 0xfffffff, 0x1fffffff, 0x7ff,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	59 0, 0, 0x400000, 0xe000000,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	60 0x1fffffff
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	61 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	62
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	63 /* kPrecomputed contains precomputed values to aid the calculation of scalar
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	64 * multiples of the base point, G. It's actually two, equal length, tables
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	65 * concatenated.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	66 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	67 * The first table contains (x,y) felem pairs for 16 multiples of the base
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	68 * point, G.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	69 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	70 * Index \| Index (binary) \| Value
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	71 * 0 \| 0000 \| 0G (all zeros, omitted)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	72 * 1 \| 0001 \| G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	73 * 2 \| 0010 \| 2**64G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	74 * 3 \| 0011 \| 2**64G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	75 * 4 \| 0100 \| 2**128G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	76 * 5 \| 0101 \| 2**128G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	77 * 6 \| 0110 \| 2128G + 264G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	78 * 7 \| 0111 \| 2128G + 264G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	79 * 8 \| 1000 \| 2**192G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	80 * 9 \| 1001 \| 2**192G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	81 * 10 \| 1010 \| 2192G + 264G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	82 * 11 \| 1011 \| 2192G + 264G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	83 * 12 \| 1100 \| 2192G + 2128G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	84 * 13 \| 1101 \| 2192G + 2128G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	85 * 14 \| 1110 \| 2192G + 2128G + 2**64G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	86 * 15 \| 1111 \| 2192G + 2128G + 2**64G + G
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	87 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	88 * The second table follows the same style, but the terms are 2**32G,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	89 * 296G, 2160G, 2**224G.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	90 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	91 * This is ~2KB of data.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	92 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	93 static const limb kPrecomputed[NLIMBS * 2 * 15 * 2] = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	94 0x11522878, 0xe730d41, 0xdb60179, 0x4afe2ff, 0x12883add, 0xcaddd88, 0x119e7edc, 0xd4a6eab, 0x3120bee,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	95 0x1d2aac15, 0xf25357c, 0x19e45cdd, 0x5c721d0, 0x1992c5a5, 0xa237487, 0x154ba21, 0x14b10bb, 0xae3fe3,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	96 0xd41a576, 0x922fc51, 0x234994f, 0x60b60d3, 0x164586ae, 0xce95f18, 0x1fe49073, 0x3fa36cc, 0x5ebcd2c,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	97 0xb402f2f, 0x15c70bf, 0x1561925c, 0x5a26704, 0xda91e90, 0xcdc1c7f, 0x1ea12446, 0xe1ade1e, 0xec91f22,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	98 0x26f7778, 0x566847e, 0xa0bec9e, 0x234f453, 0x1a31f21a, 0xd85e75c, 0x56c7109, 0xa267a00, 0xb57c050,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	99 0x98fb57, 0xaa837cc, 0x60c0792, 0xcfa5e19, 0x61bab9e, 0x589e39b, 0xa324c5, 0x7d6dee7, 0x2976e4b,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	100 0x1fc4124a, 0xa8c244b, 0x1ce86762, 0xcd61c7e, 0x1831c8e0, 0x75774e1, 0x1d96a5a9, 0x843a649, 0xc3ab0fa,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	101 0x6e2e7d5, 0x7673a2a, 0x178b65e8, 0x4003e9b, 0x1a1f11c2, 0x7816ea, 0xf643e11, 0x58c43df, 0xf423fc2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	102 0x19633ffa, 0x891f2b2, 0x123c231c, 0x46add8c, 0x54700dd, 0x59e2b17, 0x172db40f, 0x83e277d, 0xb0dd609,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	103 0xfd1da12, 0x35c6e52, 0x19ede20c, 0xd19e0c0, 0x97d0f40, 0xb015b19, 0x449e3f5, 0xe10c9e, 0x33ab581,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	104 0x56a67ab, 0x577734d, 0x1dddc062, 0xc57b10d, 0x149b39d, 0x26a9e7b, 0xc35df9f, 0x48764cd, 0x76dbcca,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	105 0xca4b366, 0xe9303ab, 0x1a7480e7, 0x57e9e81, 0x1e13eb50, 0xf466cf3, 0x6f16b20, 0x4ba3173, 0xc168c33,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	106 0x15cb5439, 0x6a38e11, 0x73658bd, 0xb29564f, 0x3f6dc5b, 0x53b97e, 0x1322c4c0, 0x65dd7ff, 0x3a1e4f6,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	107 0x14e614aa, 0x9246317, 0x1bc83aca, 0xad97eed, 0xd38ce4a, 0xf82b006, 0x341f077, 0xa6add89, 0x4894acd,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	108 0x9f162d5, 0xf8410ef, 0x1b266a56, 0xd7f223, 0x3e0cb92, 0xe39b672, 0x6a2901a, 0x69a8556, 0x7e7c0,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	109 0x9b7d8d3, 0x309a80, 0x1ad05f7f, 0xc2fb5dd, 0xcbfd41d, 0x9ceb638, 0x1051825c, 0xda0cf5b, 0x812e881,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	110 0x6f35669, 0x6a56f2c, 0x1df8d184, 0x345820, 0x1477d477, 0x1645db1, 0xbe80c51, 0xc22be3e, 0xe35e65a,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	111 0x1aeb7aa0, 0xc375315, 0xf67bc99, 0x7fdd7b9, 0x191fc1be, 0x61235d, 0x2c184e9, 0x1c5a839, 0x47a1e26,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	112 0xb7cb456, 0x93e225d, 0x14f3c6ed, 0xccc1ac9, 0x17fe37f3, 0x4988989, 0x1a90c502, 0x2f32042, 0xa17769b,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	113 0xafd8c7c, 0x8191c6e, 0x1dcdb237, 0x16200c0, 0x107b32a1, 0x66c08db, 0x10d06a02, 0x3fc93, 0x5620023,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	114 0x16722b27, 0x68b5c59, 0x270fcfc, 0xfad0ecc, 0xe5de1c2, 0xeab466b, 0x2fc513c, 0x407f75c, 0xbaab133,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	115 0x9705fe9, 0xb88b8e7, 0x734c993, 0x1e1ff8f, 0x19156970, 0xabd0f00, 0x10469ea7, 0x3293ac0, 0xcdc98aa,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	116 0x1d843fd, 0xe14bfe8, 0x15be825f, 0x8b5212, 0xeb3fb67, 0x81cbd29, 0xbc62f16, 0x2b6fcc7, 0xf5a4e29,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	117 0x13560b66, 0xc0b6ac2, 0x51ae690, 0xd41e271, 0xf3e9bd4, 0x1d70aab, 0x1029f72, 0x73e1c35, 0xee70fbc,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	118 0xad81baf, 0x9ecc49a, 0x86c741e, 0xfe6be30, 0x176752e7, 0x23d416, 0x1f83de85, 0x27de188, 0x66f70b8,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	119 0x181cd51f, 0x96b6e4c, 0x188f2335, 0xa5df759, 0x17a77eb6, 0xfeb0e73, 0x154ae914, 0x2f3ec51, 0x3826b59,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	120 0xb91f17d, 0x1c72949, 0x1362bf0a, 0xe23fddf, 0xa5614b0, 0xf7d8f, 0x79061, 0x823d9d2, 0x8213f39,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	121 0x1128ae0b, 0xd095d05, 0xb85c0c2, 0x1ecb2ef, 0x24ddc84, 0xe35e901, 0x18411a4a, 0xf5ddc3d, 0x3786689,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	122 0x52260e8, 0x5ae3564, 0x542b10d, 0x8d93a45, 0x19952aa4, 0x996cc41, 0x1051a729, 0x4be3499, 0x52b23aa,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	123 0x109f307e, 0x6f5b6bb, 0x1f84e1e7, 0x77a0cfa, 0x10c4df3f, 0x25a02ea, 0xb048035, 0xe31de66, 0xc6ecaa3,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	124 0x28ea335, 0x2886024, 0x1372f020, 0xf55d35, 0x15e4684c, 0xf2a9e17, 0x1a4a7529, 0xcb7beb1, 0xb2a78a1,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	125 0x1ab21f1f, 0x6361ccf, 0x6c9179d, 0xb135627, 0x1267b974, 0x4408bad, 0x1cbff658, 0xe3d6511, 0xc7d76f,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	126 0x1cc7a69, 0xe7ee31b, 0x54fab4f, 0x2b914f, 0x1ad27a30, 0xcd3579e, 0xc50124c, 0x50daa90, 0xb13f72,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	127 0xb06aa75, 0x70f5cc6, 0x1649e5aa, 0x84a5312, 0x329043c, 0x41c4011, 0x13d32411, 0xb04a838, 0xd760d2d,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	128 0x1713b532, 0xbaa0c03, 0x84022ab, 0x6bcf5c1, 0x2f45379, 0x18ae070, 0x18c9e11e, 0x20bca9a, 0x66f496b,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	129 0x3eef294, 0x67500d2, 0xd7f613c, 0x2dbbeb, 0xb741038, 0xe04133f, 0x1582968d, 0xbe985f7, 0x1acbc1a,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	130 0x1a6a939f, 0x33e50f6, 0xd665ed4, 0xb4b7bd6, 0x1e5a3799, 0x6b33847, 0x17fa56ff, 0x65ef930, 0x21dc4a,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	131 0x2b37659, 0x450fe17, 0xb357b65, 0xdf5efac, 0x15397bef, 0x9d35a7f, 0x112ac15f, 0x624e62e, 0xa90ae2f,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	132 0x107eecd2, 0x1f69bbe, 0x77d6bce, 0x5741394, 0x13c684fc, 0x950c910, 0x725522b, 0xdc78583, 0x40eeabb,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	133 0x1fde328a, 0xbd61d96, 0xd28c387, 0x9e77d89, 0x12550c40, 0x759cb7d, 0x367ef34, 0xae2a960, 0x91b8bdc,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	134 0x93462a9, 0xf469ef, 0xb2e9aef, 0xd2ca771, 0x54e1f42, 0x7aaa49, 0x6316abb, 0x2413c8e, 0x5425bf9,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	135 0x1bed3e3a, 0xf272274, 0x1f5e7326, 0x6416517, 0xea27072, 0x9cedea7, 0x6e7633, 0x7c91952, 0xd806dce,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	136 0x8e2a7e1, 0xe421e1a, 0x418c9e1, 0x1dbc890, 0x1b395c36, 0xa1dc175, 0x1dc4ef73, 0x8956f34, 0xe4b5cf2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	137 0x1b0d3a18, 0x3194a36, 0x6c2641f, 0xe44124c, 0xa2f4eaa, 0xa8c25ba, 0xf927ed7, 0x627b614, 0x7371cca,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	138 0xba16694, 0x417bc03, 0x7c0a7e3, 0x9c35c19, 0x1168a205, 0x8b6b00d, 0x10e3edc9, 0x9c19bf2, 0x5882229,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	139 0x1b2b4162, 0xa5cef1a, 0x1543622b, 0x9bd433e, 0x364e04d, 0x7480792, 0x5c9b5b3, 0xe85ff25, 0x408ef57,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	140 0x1814cfa4, 0x121b41b, 0xd248a0f, 0x3b05222, 0x39bb16a, 0xc75966d, 0xa038113, 0xa4a1769, 0x11fbc6c,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	141 0x917e50e, 0xeec3da8, 0x169d6eac, 0x10c1699, 0xa416153, 0xf724912, 0x15cd60b7, 0x4acbad9, 0x5efc5fa,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	142 0xf150ed7, 0x122b51, 0x1104b40a, 0xcb7f442, 0xfbb28ff, 0x6ac53ca, 0x196142cc, 0x7bf0fa9, 0x957651,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	143 0x4e0f215, 0xed439f8, 0x3f46bd5, 0x5ace82f, 0x110916b6, 0x6db078, 0xffd7d57, 0xf2ecaac, 0xca86dec,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	144 0x15d6b2da, 0x965ecc9, 0x1c92b4c2, 0x1f3811, 0x1cb080f5, 0x2d8b804, 0x19d1c12d, 0xf20bd46, 0x1951fa7,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	145 0xa3656c3, 0x523a425, 0xfcd0692, 0xd44ddc8, 0x131f0f5b, 0xaf80e4a, 0xcd9fc74, 0x99bb618, 0x2db944c,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	146 0xa673090, 0x1c210e1, 0x178c8d23, 0x1474383, 0x10b8743d, 0x985a55b, 0x2e74779, 0x576138, 0x9587927,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	147 0x133130fa, 0xbe05516, 0x9f4d619, 0xbb62570, 0x99ec591, 0xd9468fe, 0x1d07782d, 0xfc72e0b, 0x701b298,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	148 0x1863863b, 0x85954b8, 0x121a0c36, 0x9e7fedf, 0xf64b429, 0x9b9d71e, 0x14e2f5d8, 0xf858d3a, 0x942eea8,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	149 0xda5b765, 0x6edafff, 0xa9d18cc, 0xc65e4ba, 0x1c747e86, 0xe4ea915, 0x1981d7a1, 0x8395659, 0x52ed4e2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	150 0x87d43b7, 0x37ab11b, 0x19d292ce, 0xf8d4692, 0x18c3053f, 0x8863e13, 0x4c146c0, 0x6bdf55a, 0x4e4457d,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	151 0x16152289, 0xac78ec2, 0x1a59c5a2, 0x2028b97, 0x71c2d01, 0x295851f, 0x404747b, 0x878558d, 0x7d29aa4,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	152 0x13d8341f, 0x8daefd7, 0x139c972d, 0x6b7ea75, 0xd4a9dde, 0xff163d8, 0x81d55d7, 0xa5bef68, 0xb7b30d8,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	153 0xbe73d6f, 0xaa88141, 0xd976c81, 0x7e7a9cc, 0x18beb771, 0xd773cbd, 0x13f51951, 0x9d0c177, 0x1c49a78,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	154 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	155
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	156 /* Field element operations:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	157 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	158
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	159 /* NON_ZERO_TO_ALL_ONES returns:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	160 * 0xffffffff for 0 < x <= 2**31
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	161 * 0 for x == 0 or x > 2**31.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	162 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	163 * x must be a u32 or an equivalent type such as limb.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	164 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	165 #define NON_ZERO_TO_ALL_ONES(x) ((((u32)(x) - 1) >> 31) - 1)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	166
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	167 /* felem_reduce_carry adds a multiple of p in order to cancel \|carry\|,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	168 * which is a term at 2**257.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	169 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	170 * On entry: carry < 23, inout[0,2,...] < 229, inout[1,3,...] < 2**28.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	171 * On exit: inout[0,2,..] < 230, inout[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	172 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	173 static void felem_reduce_carry(felem inout, limb carry)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	174 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	175 const u32 carry_mask = NON_ZERO_TO_ALL_ONES(carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	176
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	177 inout[0] += carry << 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	178 inout[3] += 0x10000000 & carry_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	179 /* carry < 23 thus (carry << 11) < 214 and we added 2**28 in the
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	180 * previous line therefore this doesn't underflow.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	181 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	182 inout[3] -= carry << 11;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	183 inout[4] += (0x20000000 - 1) & carry_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	184 inout[5] += (0x10000000 - 1) & carry_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	185 inout[6] += (0x20000000 - 1) & carry_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	186 inout[6] -= carry << 22;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	187 /* This may underflow if carry is non-zero but, if so, we'll fix it in the
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	188 * next line.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	189 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	190 inout[7] -= 1 & carry_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	191 inout[7] += carry << 25;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	192 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	193
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	194 /* felem_sum sets out = in+in2.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	195 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	196 * On entry, in[i]+in2[i] must not overflow a 32-bit word.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	197 * On exit: out[0,2,...] < 230, out[1,3,...] < 229
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	198 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	199 static void felem_sum(felem out, const felem in, const felem in2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	200 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	201 limb carry = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	202 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	203 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	204 out[i] = in[i] + in2[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	205 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	206 carry = out[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	207 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	208
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	209 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	210 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	211 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	212
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	213 out[i] = in[i] + in2[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	214 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	215 carry = out[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	216 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	217 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	218
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	219 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	220 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	221
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	222 #define two31m3 (((limb)1) << 31) - (((limb)1) << 3)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	223 #define two30m2 (((limb)1) << 30) - (((limb)1) << 2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	224 #define two30p13m2 (((limb)1) << 30) + (((limb)1) << 13) - (((limb)1) << 2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	225 #define two31m2 (((limb)1) << 31) - (((limb)1) << 2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	226 #define two31p24m2 (((limb)1) << 31) + (((limb)1) << 24) - (((limb)1) << 2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	227 #define two30m27m2 (((limb)1) << 30) - (((limb)1) << 27) - (((limb)1) << 2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	228
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	229 /* zero31 is 0 mod p.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	230 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	231 static const felem zero31 = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	232 two31m3, two30m2, two31m2, two30p13m2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	233 two31m2, two30m2, two31p24m2, two30m27m2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	234 two31m2
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	235 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	236
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	237 /* felem_diff sets out = in-in2.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	238 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	239 * On entry: in[0,2,...] < 230, in[1,3,...] < 229 and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	240 * in2[0,2,...] < 230, in2[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	241 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	242 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	243 static void felem_diff(felem out, const felem in, const felem in2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	244 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	245 limb carry = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	246 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	247
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	248 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	249 out[i] = in[i] - in2[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	250 out[i] += zero31[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	251 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	252 carry = out[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	253 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	254
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	255 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	256 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	257 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	258
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	259 out[i] = in[i] - in2[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	260 out[i] += zero31[i];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	261 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	262 carry = out[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	263 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	264 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	265
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	266 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	267 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	268
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	269 /* felem_reduce_degree sets out = tmp/R mod p where tmp contains 64-bit words
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	270 * with the same 29,28,... bit positions as an felem.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	271 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	272 * The values in felems are in Montgomery form: xR mod p where R = 2*257.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	273 * Since we just multiplied two Montgomery values together, the result is
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	274 * xyR*R mod p. We wish to divide by R in order for the result also to be
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	275 * in Montgomery form.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	276 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	277 * On entry: tmp[i] < 2**64
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	278 * On exit: out[0,2,...] < 230, out[1,3,...] < 229
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	279 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	280 static void felem_reduce_degree(felem out, u64 tmp[17])
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	281 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	282 /* The following table may be helpful when reading this code:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	283 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	284 * Limb number: 0 \| 1 \| 2 \| 3 \| 4 \| 5 \| 6 \| 7 \| 8 \| 9 \| 10...
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	285 * Width (bits): 29\| 28\| 29\| 28\| 29\| 28\| 29\| 28\| 29\| 28\| 29
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	286 * Start bit: 0 \| 29\| 57\| 86\|114\|143\|171\|200\|228\|257\|285
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	287 * (odd phase): 0 \| 28\| 57\| 85\|114\|142\|171\|199\|228\|256\|285
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	288 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	289 limb tmp2[18], carry, x, xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	290 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	291
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	292 /* tmp contains 64-bit words with the same 29,28,29-bit positions as an
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	293 * felem. So the top of an element of tmp might overlap with another
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	294 * element two positions down. The following loop eliminates this
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	295 * overlap.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	296 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	297 tmp2[0] = tmp[0] & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	298
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	299 /* In the following we use "(limb) tmp[x]" and "(limb) (tmp[x]>>32)" to try
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	300 * and hint to the compiler that it can do a single-word shift by selecting
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	301 * the right register rather than doing a double-word shift and truncating
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	302 * afterwards.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	303 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	304 tmp2[1] = ((limb) tmp[0]) >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	305 tmp2[1] \|= (((limb) (tmp[0] >> 32)) << 3) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	306 tmp2[1] += ((limb) tmp[1]) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	307 carry = tmp2[1] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	308 tmp2[1] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	309
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	310 for (i = 2; i < 17; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	311 tmp2[i] = ((limb) (tmp[i - 2] >> 32)) >> 25;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	312 tmp2[i] += ((limb) (tmp[i - 1])) >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	313 tmp2[i] += (((limb) (tmp[i - 1] >> 32)) << 4) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	314 tmp2[i] += ((limb) tmp[i]) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	315 tmp2[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	316 carry = tmp2[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	317 tmp2[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	318
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	319 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	320 if (i == 17)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	321 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	322 tmp2[i] = ((limb) (tmp[i - 2] >> 32)) >> 25;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	323 tmp2[i] += ((limb) (tmp[i - 1])) >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	324 tmp2[i] += (((limb) (tmp[i - 1] >> 32)) << 3) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	325 tmp2[i] += ((limb) tmp[i]) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	326 tmp2[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	327 carry = tmp2[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	328 tmp2[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	329 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	330
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	331 tmp2[17] = ((limb) (tmp[15] >> 32)) >> 25;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	332 tmp2[17] += ((limb) (tmp[16])) >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	333 tmp2[17] += (((limb) (tmp[16] >> 32)) << 3);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	334 tmp2[17] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	335
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	336 /* Montgomery elimination of terms:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	337 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	338 * Since R is 2**257, we can divide by R with a bitwise shift if we can
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	339 * ensure that the right-most 257 bits are all zero. We can make that true
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	340 * by adding multiplies of p without affecting the value.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	341 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	342 * So we eliminate limbs from right to left. Since the bottom 29 bits of p
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	343 * are all ones, then by adding tmp2[0]*p to tmp2 we'll make tmp2[0] == 0.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	344 * We can do that for 8 further limbs and then right shift to eliminate the
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	345 * extra factor of R.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	346 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	347 for (i = 0;; i += 2) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	348 tmp2[i + 1] += tmp2[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	349 x = tmp2[i] & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	350 xMask = NON_ZERO_TO_ALL_ONES(x);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	351 tmp2[i] = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	352
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	353 /* The bounds calculations for this loop are tricky. Each iteration of
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	354 * the loop eliminates two words by adding values to words to their
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	355 * right.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	356 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	357 * The following table contains the amounts added to each word (as an
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	358 * offset from the value of i at the top of the loop). The amounts are
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	359 * accounted for from the first and second half of the loop separately
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	360 * and are written as, for example, 28 to mean a value <2**28.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	361 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	362 * Word: 3 4 5 6 7 8 9 10
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	363 * Added in top half: 28 11 29 21 29 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	364 * 28 29
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	365 * 29
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	366 * Added in bottom half: 29 10 28 21 28 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	367 * 29
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	368 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	369 * The value that is currently offset 7 will be offset 5 for the next
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	370 * iteration and then offset 3 for the iteration after that. Therefore
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	371 * the total value added will be the values added at 7, 5 and 3.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	372 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	373 * The following table accumulates these values. The sums at the bottom
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	374 * are written as, for example, 29+28, to mean a value < 229+228.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	375 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	376 * Word: 3 4 5 6 7 8 9 10 11 12 13
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	377 * 28 11 10 29 21 29 28 28 28 28 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	378 * 29 28 11 28 29 28 29 28 29 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	379 * 29 28 21 21 29 21 29 21
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	380 * 10 29 28 21 28 21 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	381 * 28 29 28 29 28 29 28
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	382 * 11 10 29 10 29 10
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	383 * 29 28 11 28 11
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	384 * 29 29
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	385 * --------------------------------------------
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	386 * 30+ 31+ 30+ 31+ 30+
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	387 * 28+ 29+ 28+ 29+ 21+
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	388 * 21+ 28+ 21+ 28+ 10
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	389 * 10 21+ 10 21+
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	390 * 11 11
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	391 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	392 * So the greatest amount is added to tmp2[10] and tmp2[12]. If
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	393 * tmp2[10/12] has an initial value of <2**29, then the maximum value
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	394 * will be < 231 + 230 + 228 + 221 + 211, which is < 232,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	395 * as required.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	396 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	397 tmp2[i + 3] += (x << 10) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	398 tmp2[i + 4] += (x >> 18);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	399
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	400 tmp2[i + 6] += (x << 21) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	401 tmp2[i + 7] += x >> 8;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	402
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	403 /* At position 200, which is the starting bit position for word 7, we
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	404 * have a factor of 0xf000000 = 228 - 224.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	405 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	406 tmp2[i + 7] += 0x10000000 & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	407 /* Word 7 is 28 bits wide, so the 2*28 term exactly hits word 8. /
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	408 tmp2[i + 8] += (x - 1) & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	409 tmp2[i + 7] -= (x << 24) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	410 tmp2[i + 8] -= x >> 4;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	411
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	412 tmp2[i + 8] += 0x20000000 & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	413 tmp2[i + 8] -= x;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	414 tmp2[i + 8] += (x << 28) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	415 tmp2[i + 9] += ((x >> 1) - 1) & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	416
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	417 if (i+1 == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	418 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	419 tmp2[i + 2] += tmp2[i + 1] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	420 x = tmp2[i + 1] & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	421 xMask = NON_ZERO_TO_ALL_ONES(x);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	422 tmp2[i + 1] = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	423
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	424 tmp2[i + 4] += (x << 11) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	425 tmp2[i + 5] += (x >> 18);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	426
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	427 tmp2[i + 7] += (x << 21) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	428 tmp2[i + 8] += x >> 7;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	429
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	430 /* At position 199, which is the starting bit of the 8th word when
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	431 * dealing with a context starting on an odd word, we have a factor of
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	432 * 0x1e000000 = 229 - 225. Since we have not updated i, the 8th
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	433 * word from i+1 is i+8.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	434 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	435 tmp2[i + 8] += 0x20000000 & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	436 tmp2[i + 9] += (x - 1) & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	437 tmp2[i + 8] -= (x << 25) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	438 tmp2[i + 9] -= x >> 4;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	439
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	440 tmp2[i + 9] += 0x10000000 & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	441 tmp2[i + 9] -= x;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	442 tmp2[i + 10] += (x - 1) & xMask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	443 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	444
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	445 /* We merge the right shift with a carry chain. The words above 2**257 have
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	446 * widths of 28,29,... which we need to correct when copying them down.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	447 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	448 carry = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	449 for (i = 0; i < 8; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	450 /* The maximum value of tmp2[i + 9] occurs on the first iteration and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	451 * is < 230+229+228. Adding 229 (from tmp2[i + 10]) is
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	452 * therefore safe.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	453 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	454 out[i] = tmp2[i + 9];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	455 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	456 out[i] += (tmp2[i + 10] << 28) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	457 carry = out[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	458 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	459
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	460 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	461 out[i] = tmp2[i + 9] >> 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	462 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	463 carry = out[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	464 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	465 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	466
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	467 out[8] = tmp2[17];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	468 out[8] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	469 carry = out[8] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	470 out[8] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	471
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	472 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	473 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	474
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	475 /* felem_square sets out=in*in.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	476 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	477 * On entry: in[0,2,...] < 230, in[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	478 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	479 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	480 static void felem_square(felem out, const felem in)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	481 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	482 u64 tmp[17];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	483
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	484 tmp[0] = ((u64) in[0]) * in[0];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	485 tmp[1] = ((u64) in[0]) * (in[1] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	486 tmp[2] = ((u64) in[0]) * (in[2] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	487 ((u64) in[1]) * (in[1] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	488 tmp[3] = ((u64) in[0]) * (in[3] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	489 ((u64) in[1]) * (in[2] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	490 tmp[4] = ((u64) in[0]) * (in[4] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	491 ((u64) in[1]) * (in[3] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	492 ((u64) in[2]) * in[2];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	493 tmp[5] = ((u64) in[0]) * (in[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	494 ((u64) in[1]) * (in[4] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	495 ((u64) in[2]) * (in[3] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	496 tmp[6] = ((u64) in[0]) * (in[6] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	497 ((u64) in[1]) * (in[5] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	498 ((u64) in[2]) * (in[4] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	499 ((u64) in[3]) * (in[3] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	500 tmp[7] = ((u64) in[0]) * (in[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	501 ((u64) in[1]) * (in[6] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	502 ((u64) in[2]) * (in[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	503 ((u64) in[3]) * (in[4] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	504 /* tmp[8] has the greatest value of 261 + 260 + 261 + 260 + 2**60,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	505 * which is < 2**64 as required.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	506 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	507 tmp[8] = ((u64) in[0]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	508 ((u64) in[1]) * (in[7] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	509 ((u64) in[2]) * (in[6] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	510 ((u64) in[3]) * (in[5] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	511 ((u64) in[4]) * in[4];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	512 tmp[9] = ((u64) in[1]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	513 ((u64) in[2]) * (in[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	514 ((u64) in[3]) * (in[6] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	515 ((u64) in[4]) * (in[5] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	516 tmp[10] = ((u64) in[2]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	517 ((u64) in[3]) * (in[7] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	518 ((u64) in[4]) * (in[6] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	519 ((u64) in[5]) * (in[5] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	520 tmp[11] = ((u64) in[3]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	521 ((u64) in[4]) * (in[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	522 ((u64) in[5]) * (in[6] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	523 tmp[12] = ((u64) in[4]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	524 ((u64) in[5]) * (in[7] << 2) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	525 ((u64) in[6]) * in[6];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	526 tmp[13] = ((u64) in[5]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	527 ((u64) in[6]) * (in[7] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	528 tmp[14] = ((u64) in[6]) * (in[8] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	529 ((u64) in[7]) * (in[7] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	530 tmp[15] = ((u64) in[7]) * (in[8] << 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	531 tmp[16] = ((u64) in[8]) * in[8];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	532
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	533 felem_reduce_degree(out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	534 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	535
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	536 /* felem_mul sets out=in*in2.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	537 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	538 * On entry: in[0,2,...] < 230, in[1,3,...] < 229 and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	539 * in2[0,2,...] < 230, in2[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	540 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	541 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	542 static void felem_mul(felem out, const felem in, const felem in2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	543 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	544 u64 tmp[17];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	545
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	546 tmp[0] = ((u64) in[0]) * in2[0];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	547 tmp[1] = ((u64) in[0]) * (in2[1] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	548 ((u64) in[1]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	549 tmp[2] = ((u64) in[0]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	550 ((u64) in[1]) * (in2[1] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	551 ((u64) in[2]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	552 tmp[3] = ((u64) in[0]) * (in2[3] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	553 ((u64) in[1]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	554 ((u64) in[2]) * (in2[1] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	555 ((u64) in[3]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	556 tmp[4] = ((u64) in[0]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	557 ((u64) in[1]) * (in2[3] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	558 ((u64) in[2]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	559 ((u64) in[3]) * (in2[1] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	560 ((u64) in[4]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	561 tmp[5] = ((u64) in[0]) * (in2[5] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	562 ((u64) in[1]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	563 ((u64) in[2]) * (in2[3] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	564 ((u64) in[3]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	565 ((u64) in[4]) * (in2[1] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	566 ((u64) in[5]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	567 tmp[6] = ((u64) in[0]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	568 ((u64) in[1]) * (in2[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	569 ((u64) in[2]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	570 ((u64) in[3]) * (in2[3] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	571 ((u64) in[4]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	572 ((u64) in[5]) * (in2[1] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	573 ((u64) in[6]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	574 tmp[7] = ((u64) in[0]) * (in2[7] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	575 ((u64) in[1]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	576 ((u64) in[2]) * (in2[5] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	577 ((u64) in[3]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	578 ((u64) in[4]) * (in2[3] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	579 ((u64) in[5]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	580 ((u64) in[6]) * (in2[1] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	581 ((u64) in[7]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	582 /* tmp[8] has the greatest value but doesn't overflow. See logic in
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	583 * felem_square.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	584 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	585 tmp[8] = ((u64) in[0]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	586 ((u64) in[1]) * (in2[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	587 ((u64) in[2]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	588 ((u64) in[3]) * (in2[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	589 ((u64) in[4]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	590 ((u64) in[5]) * (in2[3] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	591 ((u64) in[6]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	592 ((u64) in[7]) * (in2[1] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	593 ((u64) in[8]) * (in2[0] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	594 tmp[9] = ((u64) in[1]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	595 ((u64) in[2]) * (in2[7] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	596 ((u64) in[3]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	597 ((u64) in[4]) * (in2[5] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	598 ((u64) in[5]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	599 ((u64) in[6]) * (in2[3] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	600 ((u64) in[7]) * (in2[2] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	601 ((u64) in[8]) * (in2[1] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	602 tmp[10] = ((u64) in[2]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	603 ((u64) in[3]) * (in2[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	604 ((u64) in[4]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	605 ((u64) in[5]) * (in2[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	606 ((u64) in[6]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	607 ((u64) in[7]) * (in2[3] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	608 ((u64) in[8]) * (in2[2] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	609 tmp[11] = ((u64) in[3]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	610 ((u64) in[4]) * (in2[7] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	611 ((u64) in[5]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	612 ((u64) in[6]) * (in2[5] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	613 ((u64) in[7]) * (in2[4] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	614 ((u64) in[8]) * (in2[3] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	615 tmp[12] = ((u64) in[4]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	616 ((u64) in[5]) * (in2[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	617 ((u64) in[6]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	618 ((u64) in[7]) * (in2[5] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	619 ((u64) in[8]) * (in2[4] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	620 tmp[13] = ((u64) in[5]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	621 ((u64) in[6]) * (in2[7] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	622 ((u64) in[7]) * (in2[6] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	623 ((u64) in[8]) * (in2[5] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	624 tmp[14] = ((u64) in[6]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	625 ((u64) in[7]) * (in2[7] << 1) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	626 ((u64) in[8]) * (in2[6] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	627 tmp[15] = ((u64) in[7]) * (in2[8] << 0) +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	628 ((u64) in[8]) * (in2[7] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	629 tmp[16] = ((u64) in[8]) * (in2[8] << 0);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	630
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	631 felem_reduce_degree(out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	632 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	633
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	634 static void felem_assign(felem out, const felem in)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	635 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	636 memcpy(out, in, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	637 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	638
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	639 /* felem_inv calculates \|out\| = \|in\|^{-1}
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	640 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	641 * Based on Fermat's Little Theorem:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	642 * a^p = a (mod p)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	643 * a^{p-1} = 1 (mod p)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	644 * a^{p-2} = a^{-1} (mod p)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	645 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	646 static void felem_inv(felem out, const felem in)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	647 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	648 felem ftmp, ftmp2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	649 /* each e_I will hold \|in\|^{2^I - 1} */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	650 felem e2, e4, e8, e16, e32, e64;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	651 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	652
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	653 felem_square(ftmp, in); /* 2^1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	654 felem_mul(ftmp, in, ftmp); /* 2^2 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	655 felem_assign(e2, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	656 felem_square(ftmp, ftmp); /* 2^3 - 2^1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	657 felem_square(ftmp, ftmp); /* 2^4 - 2^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	658 felem_mul(ftmp, ftmp, e2); /* 2^4 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	659 felem_assign(e4, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	660 felem_square(ftmp, ftmp); /* 2^5 - 2^1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	661 felem_square(ftmp, ftmp); /* 2^6 - 2^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	662 felem_square(ftmp, ftmp); /* 2^7 - 2^3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	663 felem_square(ftmp, ftmp); /* 2^8 - 2^4 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	664 felem_mul(ftmp, ftmp, e4); /* 2^8 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	665 felem_assign(e8, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	666 for (i = 0; i < 8; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	667 felem_square(ftmp, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	668 } /* 2^16 - 2^8 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	669 felem_mul(ftmp, ftmp, e8); /* 2^16 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	670 felem_assign(e16, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	671 for (i = 0; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	672 felem_square(ftmp, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	673 } /* 2^32 - 2^16 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	674 felem_mul(ftmp, ftmp, e16); /* 2^32 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	675 felem_assign(e32, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	676 for (i = 0; i < 32; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	677 felem_square(ftmp, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	678 } /* 2^64 - 2^32 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	679 felem_assign(e64, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	680 felem_mul(ftmp, ftmp, in); /* 2^64 - 2^32 + 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	681 for (i = 0; i < 192; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	682 felem_square(ftmp, ftmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	683 } /* 2^256 - 2^224 + 2^192 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	684
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	685 felem_mul(ftmp2, e64, e32); /* 2^64 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	686 for (i = 0; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	687 felem_square(ftmp2, ftmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	688 } /* 2^80 - 2^16 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	689 felem_mul(ftmp2, ftmp2, e16); /* 2^80 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	690 for (i = 0; i < 8; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	691 felem_square(ftmp2, ftmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	692 } /* 2^88 - 2^8 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	693 felem_mul(ftmp2, ftmp2, e8); /* 2^88 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	694 for (i = 0; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	695 felem_square(ftmp2, ftmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	696 } /* 2^92 - 2^4 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	697 felem_mul(ftmp2, ftmp2, e4); /* 2^92 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	698 felem_square(ftmp2, ftmp2); /* 2^93 - 2^1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	699 felem_square(ftmp2, ftmp2); /* 2^94 - 2^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	700 felem_mul(ftmp2, ftmp2, e2); /* 2^94 - 2^0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	701 felem_square(ftmp2, ftmp2); /* 2^95 - 2^1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	702 felem_square(ftmp2, ftmp2); /* 2^96 - 2^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	703 felem_mul(ftmp2, ftmp2, in); /* 2^96 - 3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	704
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	705 felem_mul(out, ftmp2, ftmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	706 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	707
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	708 /* felem_scalar_3 sets out=3*out.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	709 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	710 * On entry: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	711 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	712 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	713 static void felem_scalar_3(felem out)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	714 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	715 limb carry = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	716 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	717
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	718 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	719 out[i] *= 3;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	720 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	721 carry = out[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	722 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	723
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	724 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	725 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	726 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	727
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	728 out[i] *= 3;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	729 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	730 carry = out[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	731 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	732 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	733
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	734 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	735 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	736
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	737 /* felem_scalar_4 sets out=4*out.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	738 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	739 * On entry: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	740 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	741 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	742 static void felem_scalar_4(felem out)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	743 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	744 limb carry = 0, next_carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	745 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	746
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	747 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	748 next_carry = out[i] >> 27;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	749 out[i] <<= 2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	750 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	751 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	752 carry = next_carry + (out[i] >> 29);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	753 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	754
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	755 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	756 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	757 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	758 next_carry = out[i] >> 26;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	759 out[i] <<= 2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	760 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	761 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	762 carry = next_carry + (out[i] >> 28);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	763 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	764 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	765
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	766 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	767 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	768
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	769 /* felem_scalar_8 sets out=8*out.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	770 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	771 * On entry: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	772 * On exit: out[0,2,...] < 230, out[1,3,...] < 229.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	773 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	774 static void felem_scalar_8(felem out)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	775 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	776 limb carry = 0, next_carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	777 unsigned int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	778
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	779 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	780 next_carry = out[i] >> 26;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	781 out[i] <<= 3;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	782 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	783 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	784 carry = next_carry + (out[i] >> 29);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	785 out[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	786
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	787 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	788 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	789 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	790 next_carry = out[i] >> 25;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	791 out[i] <<= 3;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	792 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	793 out[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	794 carry = next_carry + (out[i] >> 28);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	795 out[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	796 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	797
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	798 felem_reduce_carry(out, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	799 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	800
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	801 /* felem_is_zero_vartime returns 1 iff \|in\| == 0. It takes a variable amount of
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	802 * time depending on the value of \|in\|.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	803 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	804 static char felem_is_zero_vartime(const felem in)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	805 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	806 limb carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	807 int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	808 limb tmp[NLIMBS];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	809 felem_assign(tmp, in);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	810
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	811 /* First, reduce tmp to a minimal form.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	812 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	813 do {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	814 carry = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	815 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	816 tmp[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	817 carry = tmp[i] >> 29;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	818 tmp[i] &= kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	819
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	820 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	821 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	822 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	823
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	824 tmp[i] += carry;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	825 carry = tmp[i] >> 28;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	826 tmp[i] &= kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	827 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	828
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	829 felem_reduce_carry(tmp, carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	830 } while (carry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	831
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	832 /* tmp < 2**257, so the only possible zero values are 0, p and 2p.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	833 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	834 return memcmp(tmp, kZero, sizeof(tmp)) == 0 \|\|
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	835 memcmp(tmp, kP, sizeof(tmp)) == 0 \|\|
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	836 memcmp(tmp, k2P, sizeof(tmp)) == 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	837 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	838
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	839 /* Group operations:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	840 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	841 * Elements of the elliptic curve group are represented in Jacobian
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	842 * coordinates: (x, y, z). An affine point (x', y') is x'=x/z2, y'=y/z3 in
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	843 * Jacobian form.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	844 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	845
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	846 /* point_double sets {x_out,y_out,z_out} = 2*{x,y,z}.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	847 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	848 * See http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	849 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	850 static void point_double(felem x_out, felem y_out, felem z_out,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	851 const felem x, const felem y, const felem z)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	852 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	853 felem delta, gamma, alpha, beta, tmp, tmp2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	854
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	855 felem_square(delta, z);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	856 felem_square(gamma, y);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	857 felem_mul(beta, x, gamma);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	858
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	859 felem_sum(tmp, x, delta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	860 felem_diff(tmp2, x, delta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	861 felem_mul(alpha, tmp, tmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	862 felem_scalar_3(alpha);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	863
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	864 felem_sum(tmp, y, z);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	865 felem_square(tmp, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	866 felem_diff(tmp, tmp, gamma);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	867 felem_diff(z_out, tmp, delta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	868
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	869 felem_scalar_4(beta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	870 felem_square(x_out, alpha);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	871 felem_diff(x_out, x_out, beta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	872 felem_diff(x_out, x_out, beta);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	873
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	874 felem_diff(tmp, beta, x_out);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	875 felem_mul(tmp, alpha, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	876 felem_square(tmp2, gamma);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	877 felem_scalar_8(tmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	878 felem_diff(y_out, tmp, tmp2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	879 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	880
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	881 /* point_add_mixed sets {x_out,y_out,z_out} = {x1,y1,z1} + {x2,y2,1}.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	882 * (i.e. the second point is affine.)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	883 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	884 * See http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	885 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	886 * Note that this function does not handle P+P, infinity+P nor P+infinity
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	887 * correctly.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	888 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	889 static void point_add_mixed(felem x_out, felem y_out, felem z_out,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	890 const felem x1, const felem y1, const felem z1,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	891 const felem x2, const felem y2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	892 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	893 felem z1z1, z1z1z1, s2, u2, h, i, j, r, rr, v, tmp;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	894
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	895 felem_square(z1z1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	896 felem_sum(tmp, z1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	897
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	898 felem_mul(u2, x2, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	899 felem_mul(z1z1z1, z1, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	900 felem_mul(s2, y2, z1z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	901 felem_diff(h, u2, x1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	902 felem_sum(i, h, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	903 felem_square(i, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	904 felem_mul(j, h, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	905 felem_diff(r, s2, y1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	906 felem_sum(r, r, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	907 felem_mul(v, x1, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	908
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	909 felem_mul(z_out, tmp, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	910 felem_square(rr, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	911 felem_diff(x_out, rr, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	912 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	913 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	914
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	915 felem_diff(tmp, v, x_out);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	916 felem_mul(y_out, tmp, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	917 felem_mul(tmp, y1, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	918 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	919 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	920 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	921
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	922 /* point_add sets {x_out,y_out,z_out} = {x1,y1,z1} + {x2,y2,z2}.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	923 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	924 * See http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	925 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	926 * Note that this function does not handle P+P, infinity+P nor P+infinity
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	927 * correctly.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	928 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	929 static void point_add(felem x_out, felem y_out, felem z_out,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	930 const felem x1, const felem y1, const felem z1,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	931 const felem x2, const felem y2, const felem z2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	932 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	933 felem z1z1, z1z1z1, z2z2, z2z2z2, s1, s2, u1, u2, h, i, j, r, rr, v, tmp;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	934
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	935 felem_square(z1z1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	936 felem_square(z2z2, z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	937 felem_mul(u1, x1, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	938
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	939 felem_sum(tmp, z1, z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	940 felem_square(tmp, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	941 felem_diff(tmp, tmp, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	942 felem_diff(tmp, tmp, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	943
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	944 felem_mul(z2z2z2, z2, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	945 felem_mul(s1, y1, z2z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	946
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	947 felem_mul(u2, x2, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	948 felem_mul(z1z1z1, z1, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	949 felem_mul(s2, y2, z1z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	950 felem_diff(h, u2, u1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	951 felem_sum(i, h, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	952 felem_square(i, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	953 felem_mul(j, h, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	954 felem_diff(r, s2, s1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	955 felem_sum(r, r, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	956 felem_mul(v, u1, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	957
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	958 felem_mul(z_out, tmp, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	959 felem_square(rr, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	960 felem_diff(x_out, rr, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	961 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	962 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	963
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	964 felem_diff(tmp, v, x_out);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	965 felem_mul(y_out, tmp, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	966 felem_mul(tmp, s1, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	967 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	968 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	969 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	970
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	971 /* point_add_or_double_vartime sets {x_out,y_out,z_out} = {x1,y1,z1} +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	972 * {x2,y2,z2}.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	973 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	974 * See http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	975 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	976 * This function handles the case where {x1,y1,z1}={x2,y2,z2}.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	977 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	978 static void point_add_or_double_vartime(
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	979 felem x_out, felem y_out, felem z_out,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	980 const felem x1, const felem y1, const felem z1,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	981 const felem x2, const felem y2, const felem z2)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	982 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	983 felem z1z1, z1z1z1, z2z2, z2z2z2, s1, s2, u1, u2, h, i, j, r, rr, v, tmp;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	984 char x_equal, y_equal;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	985
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	986 felem_square(z1z1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	987 felem_square(z2z2, z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	988 felem_mul(u1, x1, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	989
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	990 felem_sum(tmp, z1, z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	991 felem_square(tmp, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	992 felem_diff(tmp, tmp, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	993 felem_diff(tmp, tmp, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	994
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	995 felem_mul(z2z2z2, z2, z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	996 felem_mul(s1, y1, z2z2z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	997
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	998 felem_mul(u2, x2, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	999 felem_mul(z1z1z1, z1, z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1000 felem_mul(s2, y2, z1z1z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1001 felem_diff(h, u2, u1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1002 x_equal = felem_is_zero_vartime(h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1003 felem_sum(i, h, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1004 felem_square(i, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1005 felem_mul(j, h, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1006 felem_diff(r, s2, s1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1007 y_equal = felem_is_zero_vartime(r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1008 if (x_equal && y_equal) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1009 point_double(x_out, y_out, z_out, x1, y1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1010 return;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1011 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1012 felem_sum(r, r, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1013 felem_mul(v, u1, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1014
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1015 felem_mul(z_out, tmp, h);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1016 felem_square(rr, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1017 felem_diff(x_out, rr, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1018 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1019 felem_diff(x_out, x_out, v);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1020
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1021 felem_diff(tmp, v, x_out);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1022 felem_mul(y_out, tmp, r);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1023 felem_mul(tmp, s1, j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1024 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1025 felem_diff(y_out, y_out, tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1026 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1027
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1028 /* copy_conditional sets out=in if mask = 0xffffffff in constant time.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1029 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1030 * On entry: mask is either 0 or 0xffffffff.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1031 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1032 static void copy_conditional(felem out, const felem in, limb mask)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1033 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1034 int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1035
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1036 for (i = 0; i < NLIMBS; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1037 const limb tmp = mask & (in[i] ^ out[i]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1038 out[i] ^= tmp;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1039 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1040 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1041
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1042 /* select_affine_point sets {out_x,out_y} to the index'th entry of table.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1043 * On entry: index < 16, table[0] must be zero.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1044 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1045 static void select_affine_point(felem out_x, felem out_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1046 const limb *table, limb index)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1047 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1048 limb i, j;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1049
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1050 memset(out_x, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1051 memset(out_y, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1052
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1053 for (i = 1; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1054 limb mask = i ^ index;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1055 mask \|= mask >> 2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1056 mask \|= mask >> 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1057 mask &= 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1058 mask--;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1059 for (j = 0; j < NLIMBS; j++, table++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1060 out_x[j] \|= *table & mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1061 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1062 for (j = 0; j < NLIMBS; j++, table++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1063 out_y[j] \|= *table & mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1064 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1065 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1066 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1067
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1068 /* select_jacobian_point sets {out_x,out_y,out_z} to the index'th entry of
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1069 * table. On entry: index < 16, table[0] must be zero.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1070 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1071 static void select_jacobian_point(felem out_x, felem out_y, felem out_z,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1072 const limb *table, limb index)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1073 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1074 limb i, j;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1075
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1076 memset(out_x, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1077 memset(out_y, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1078 memset(out_z, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1079
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1080 /* The implicit value at index 0 is all zero. We don't need to perform that
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1081 * iteration of the loop because we already set out_* to zero.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1082 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1083 table += 3*NLIMBS;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1084
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1085 for (i = 1; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1086 limb mask = i ^ index;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1087 mask \|= mask >> 2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1088 mask \|= mask >> 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1089 mask &= 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1090 mask--;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1091 for (j = 0; j < NLIMBS; j++, table++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1092 out_x[j] \|= *table & mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1093 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1094 for (j = 0; j < NLIMBS; j++, table++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1095 out_y[j] \|= *table & mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1096 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1097 for (j = 0; j < NLIMBS; j++, table++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1098 out_z[j] \|= *table & mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1099 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1100 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1101 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1102
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1103 /* get_bit returns the bit'th bit of scalar. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1104 static char get_bit(const u8 scalar[32], int bit)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1105 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1106 return ((scalar[bit >> 3]) >> (bit & 7)) & 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1107 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1108
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1109 /* scalar_base_mult sets {nx,ny,nz} = scalar*G where scalar is a little-endian
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1110 * number. Note that the value of scalar must be less than the order of the
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1111 * group.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1112 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1113 static void scalar_base_mult(felem nx, felem ny, felem nz, const u8 scalar[32])
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1114 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1115 int i, j;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1116 limb n_is_infinity_mask = -1, p_is_noninfinite_mask, mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1117 u32 table_offset;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1118
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1119 felem px, py;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1120 felem tx, ty, tz;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1121
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1122 memset(nx, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1123 memset(ny, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1124 memset(nz, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1125
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1126 /* The loop adds bits at positions 0, 64, 128 and 192, followed by
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1127 * positions 32,96,160 and 224 and does this 32 times.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1128 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1129 for (i = 0; i < 32; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1130 if (i) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1131 point_double(nx, ny, nz, nx, ny, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1132 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1133 table_offset = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1134 for (j = 0; j <= 32; j += 32) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1135 char bit0 = get_bit(scalar, 31 - i + j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1136 char bit1 = get_bit(scalar, 95 - i + j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1137 char bit2 = get_bit(scalar, 159 - i + j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1138 char bit3 = get_bit(scalar, 223 - i + j);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1139 limb index = bit0 \| (bit1 << 1) \| (bit2 << 2) \| (bit3 << 3);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1140
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1141 select_affine_point(px, py, kPrecomputed + table_offset, index);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1142 table_offset += 30 * NLIMBS;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1143
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1144 /* Since scalar is less than the order of the group, we know that
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1145 * {nx,ny,nz} != {px,py,1}, unless both are zero, which we handle
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1146 * below.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1147 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1148 point_add_mixed(tx, ty, tz, nx, ny, nz, px, py);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1149 /* The result of point_add_mixed is incorrect if {nx,ny,nz} is zero
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1150 * (a.k.a. the point at infinity). We handle that situation by
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1151 * copying the point from the table.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1152 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1153 copy_conditional(nx, px, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1154 copy_conditional(ny, py, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1155 copy_conditional(nz, kOne, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1156
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1157 /* Equally, the result is also wrong if the point from the table is
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1158 * zero, which happens when the index is zero. We handle that by
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1159 * only copying from {tx,ty,tz} to {nx,ny,nz} if index != 0.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1160 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1161 p_is_noninfinite_mask = NON_ZERO_TO_ALL_ONES(index);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1162 mask = p_is_noninfinite_mask & ~n_is_infinity_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1163 copy_conditional(nx, tx, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1164 copy_conditional(ny, ty, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1165 copy_conditional(nz, tz, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1166 /* If p was not zero, then n is now non-zero. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1167 n_is_infinity_mask &= ~p_is_noninfinite_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1168 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1169 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1170 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1171
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1172 /* point_to_affine converts a Jacobian point to an affine point. If the input
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1173 * is the point at infinity then it returns (0, 0) in constant time.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1174 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1175 static void point_to_affine(felem x_out, felem y_out,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1176 const felem nx, const felem ny, const felem nz) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1177 felem z_inv, z_inv_sq;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1178 felem_inv(z_inv, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1179 felem_square(z_inv_sq, z_inv);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1180 felem_mul(x_out, nx, z_inv_sq);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1181 felem_mul(z_inv, z_inv, z_inv_sq);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1182 felem_mul(y_out, ny, z_inv);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1183 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1184
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1185 /* scalar_mult sets {nx,ny,nz} = scalar{x,y}. /
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1186 static void scalar_mult(felem nx, felem ny, felem nz,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1187 const felem x, const felem y, const u8 scalar[32])
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1188 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1189 int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1190 felem px, py, pz, tx, ty, tz;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1191 felem precomp[16][3];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1192 limb n_is_infinity_mask, index, p_is_noninfinite_mask, mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1193
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1194 /* We precompute 0,1,2,... times {x,y}. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1195 memset(precomp, 0, sizeof(felem) * 3);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1196 memcpy(&precomp[1][0], x, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1197 memcpy(&precomp[1][1], y, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1198 memcpy(&precomp[1][2], kOne, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1199
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1200 for (i = 2; i < 16; i += 2) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1201 point_double(precomp[i][0], precomp[i][1], precomp[i][2],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1202 precomp[i / 2][0], precomp[i / 2][1], precomp[i / 2][2]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1203
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1204 point_add_mixed(precomp[i + 1][0], precomp[i + 1][1], precomp[i + 1][2],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1205 precomp[i][0], precomp[i][1], precomp[i][2], x, y);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1206 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1207
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1208 memset(nx, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1209 memset(ny, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1210 memset(nz, 0, sizeof(felem));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1211 n_is_infinity_mask = -1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1212
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1213 /* We add in a window of four bits each iteration and do this 64 times. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1214 for (i = 0; i < 64; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1215 if (i) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1216 point_double(nx, ny, nz, nx, ny, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1217 point_double(nx, ny, nz, nx, ny, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1218 point_double(nx, ny, nz, nx, ny, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1219 point_double(nx, ny, nz, nx, ny, nz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1220 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1221
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1222 index = scalar[31 - i / 2];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1223 if ((i & 1) == 1) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1224 index &= 15;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1225 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1226 index >>= 4;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1227 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1228
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1229 /* See the comments in scalar_base_mult about handling infinities. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1230 select_jacobian_point(px, py, pz, precomp[0][0], index);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1231 point_add(tx, ty, tz, nx, ny, nz, px, py, pz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1232 copy_conditional(nx, px, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1233 copy_conditional(ny, py, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1234 copy_conditional(nz, pz, n_is_infinity_mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1235
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1236 p_is_noninfinite_mask = NON_ZERO_TO_ALL_ONES(index);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1237 mask = p_is_noninfinite_mask & ~n_is_infinity_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1238 copy_conditional(nx, tx, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1239 copy_conditional(ny, ty, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1240 copy_conditional(nz, tz, mask);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1241 n_is_infinity_mask &= ~p_is_noninfinite_mask;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1242 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1243 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1244
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1245 /* Interface with Freebl: */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1246
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1247 /* BYTESWAP_MP_DIGIT_TO_LE swaps the bytes of a mp_digit to
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1248 * little-endian order.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1249 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1250 #ifdef IS_BIG_ENDIAN
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1251 #ifdef __APPLE__
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1252 #include <libkern/OSByteOrder.h>
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1253 #define BYTESWAP32(x) OSSwapInt32(x)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1254 #define BYTESWAP64(x) OSSwapInt64(x)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1255 #else
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1256 #define BYTESWAP32(x) \
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1257 ((x) >> 24 \| (x) >> 8 & 0xff00 \| ((x) & 0xff00) << 8 \| (x) << 24)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1258 #define BYTESWAP64(x) \
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1259 ((x) >> 56 \| (x) >> 40 & 0xff00 \| \
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1260 (x) >> 24 & 0xff0000 \| (x) >> 8 & 0xff000000 \| \
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1261 ((x) & 0xff000000) << 8 \| ((x) & 0xff0000) << 24 \| \
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1262 ((x) & 0xff00) << 40 \| (x) << 56)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1263 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1264
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1265 #ifdef MP_USE_UINT_DIGIT
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1266 #define BYTESWAP_MP_DIGIT_TO_LE(x) BYTESWAP32(x)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1267 #else
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1268 #define BYTESWAP_MP_DIGIT_TO_LE(x) BYTESWAP64(x)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1269 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1270 #endif /* IS_BIG_ENDIAN */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1271
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1272 #ifdef MP_USE_UINT_DIGIT
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1273 static const mp_digit kRInvDigits[8] = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1274 0x80000000, 1, 0xffffffff, 0,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1275 0x80000001, 0xfffffffe, 1, 0x7fffffff
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1276 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1277 #else
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1278 static const mp_digit kRInvDigits[4] = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1279 PR_UINT64(0x180000000), 0xffffffff,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1280 PR_UINT64(0xfffffffe80000001), PR_UINT64(0x7fffffff00000001)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1281 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1282 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1283 #define MP_DIGITS_IN_256_BITS (32/sizeof(mp_digit))
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1284 static const mp_int kRInv = {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1285 MP_ZPOS,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1286 MP_DIGITS_IN_256_BITS,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1287 MP_DIGITS_IN_256_BITS,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1288 (mp_digit*) kRInvDigits
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1289 };
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1290
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1291 static const limb kTwo28 = 0x10000000;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1292 static const limb kTwo29 = 0x20000000;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1293
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1294 /* to_montgomery sets out = Rin. /
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1295 static mp_err to_montgomery(felem out, const mp_int in, const ECGroup group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1296 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1297 /* There are no MPI functions for bitshift operations and we wish to shift
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1298 * in 257 bits left so we move the digits 256-bits left and then multiply
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1299 * by two.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1300 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1301 mp_int in_shifted;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1302 int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1303 mp_err res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1304
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1305 mp_init(&in_shifted);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1306 s_mp_pad(&in_shifted, MP_USED(in) + MP_DIGITS_IN_256_BITS);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1307 memcpy(&MP_DIGIT(&in_shifted, MP_DIGITS_IN_256_BITS),
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1308 MP_DIGITS(in),
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1309 MP_USED(in)*sizeof(mp_digit));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1310 mp_mul_2(&in_shifted, &in_shifted);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1311 MP_CHECKOK(group->meth->field_mod(&in_shifted, &in_shifted, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1312
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1313 for (i = 0;; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1314 out[i] = MP_DIGIT(&in_shifted, 0) & kBottom29Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1315 mp_div_d(&in_shifted, kTwo29, &in_shifted, NULL);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1316
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1317 i++;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1318 if (i == NLIMBS)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1319 break;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1320 out[i] = MP_DIGIT(&in_shifted, 0) & kBottom28Bits;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1321 mp_div_d(&in_shifted, kTwo28, &in_shifted, NULL);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1322 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1323
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1324 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1325 mp_clear(&in_shifted);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1326 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1327 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1328
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1329 /* from_montgomery sets out=in/R. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1330 static mp_err from_montgomery(mp_int *out, const felem in,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1331 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1332 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1333 mp_int result, tmp;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1334 mp_err res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1335 int i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1336
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1337 mp_init(&result);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1338 mp_init(&tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1339
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1340 MP_CHECKOK(mp_add_d(&tmp, in[NLIMBS-1], &result));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1341 for (i = NLIMBS-2; i >= 0; i--) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1342 if ((i & 1) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1343 MP_CHECKOK(mp_mul_d(&result, kTwo29, &tmp));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1344 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1345 MP_CHECKOK(mp_mul_d(&result, kTwo28, &tmp));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1346 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1347 MP_CHECKOK(mp_add_d(&tmp, in[i], &result));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1348 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1349
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1350 MP_CHECKOK(mp_mul(&result, &kRInv, out));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1351 MP_CHECKOK(group->meth->field_mod(out, out, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1352
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1353 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1354 mp_clear(&result);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1355 mp_clear(&tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1356 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1357 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1358
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1359 /* scalar_from_mp_int sets out_scalar=n, where n < the group order. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1360 static void scalar_from_mp_int(u8 out_scalar[32], const mp_int *n)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1361 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1362 /* We require that \|n\| is less than the order of the group and therefore it
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1363 * will fit into \|out_scalar\|. However, these is a timing side-channel here
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1364 * that we cannot avoid: if \|n\| is sufficiently small it may be one or more
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1365 * words too short and we'll copy less data.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1366 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1367 memset(out_scalar, 0, 32);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1368 #ifdef IS_LITTLE_ENDIAN
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1369 memcpy(out_scalar, MP_DIGITS(n), MP_USED(n) * sizeof(mp_digit));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1370 #else
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1371 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1372 mp_size i;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1373 mp_digit swapped[MP_DIGITS_IN_256_BITS];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1374 for (i = 0; i < MP_USED(n); i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1375 swapped[i] = BYTESWAP_MP_DIGIT_TO_LE(MP_DIGIT(n, i));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1376 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1377 memcpy(out_scalar, swapped, MP_USED(n) * sizeof(mp_digit));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1378 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1379 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1380 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1381
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1382 /* ec_GFp_nistp256_base_point_mul sets {out_x,out_y} = nG, where n is < the
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1383 * order of the group.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1384 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1385 static mp_err ec_GFp_nistp256_base_point_mul(const mp_int *n,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1386 mp_int out_x, mp_int out_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1387 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1388 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1389 u8 scalar[32];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1390 felem x, y, z, x_affine, y_affine;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1391 mp_err res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1392
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1393 /* FIXME(agl): test that n < order. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1394
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1395 scalar_from_mp_int(scalar, n);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1396 scalar_base_mult(x, y, z, scalar);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1397 point_to_affine(x_affine, y_affine, x, y, z);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1398 MP_CHECKOK(from_montgomery(out_x, x_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1399 MP_CHECKOK(from_montgomery(out_y, y_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1400
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1401 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1402 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1403 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1404
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1405 /* ec_GFp_nistp256_point_mul sets {out_x,out_y} = n*{in_x,in_y}, where n is <
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1406 * the order of the group.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1407 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1408 static mp_err ec_GFp_nistp256_point_mul(const mp_int *n,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1409 const mp_int in_x, const mp_int in_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1410 mp_int out_x, mp_int out_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1411 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1412 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1413 u8 scalar[32];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1414 felem x, y, z, x_affine, y_affine, px, py;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1415 mp_err res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1416
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1417 scalar_from_mp_int(scalar, n);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1418
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1419 MP_CHECKOK(to_montgomery(px, in_x, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1420 MP_CHECKOK(to_montgomery(py, in_y, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1421
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1422 scalar_mult(x, y, z, px, py, scalar);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1423 point_to_affine(x_affine, y_affine, x, y, z);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1424 MP_CHECKOK(from_montgomery(out_x, x_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1425 MP_CHECKOK(from_montgomery(out_y, y_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1426
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1427 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1428 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1429 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1430
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1431 /* ec_GFp_nistp256_point_mul_vartime sets {out_x,out_y} = n1*G +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1432 * n2*{in_x,in_y}, where n1 and n2 are < the order of the group.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1433 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1434 * As indicated by the name, this function operates in variable time. This
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1435 * is safe because it's used for signature validation which doesn't deal
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1436 * with secrets.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1437 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1438 static mp_err ec_GFp_nistp256_points_mul_vartime(
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1439 const mp_int n1, const mp_int n2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1440 const mp_int in_x, const mp_int in_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1441 mp_int out_x, mp_int out_y,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1442 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1443 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1444 u8 scalar1[32], scalar2[32];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1445 felem x1, y1, z1, x2, y2, z2, x_affine, y_affine, px, py;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1446 mp_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1447
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1448 /* If n2 == NULL, this is just a base-point multiplication. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1449 if (n2 == NULL) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1450 return ec_GFp_nistp256_base_point_mul(n1, out_x, out_y, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1451 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1452
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1453 /* If n1 == nULL, this is just an arbitary-point multiplication. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1454 if (n1 == NULL) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1455 return ec_GFp_nistp256_point_mul(n2, in_x, in_y, out_x, out_y, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1456 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1457
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1458 /* If both scalars are zero, then the result is the point at infinity. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1459 if (mp_cmp_z(n1) == 0 && mp_cmp_z(n2) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1460 mp_zero(out_x);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1461 mp_zero(out_y);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1462 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1463 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1464
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1465 scalar_from_mp_int(scalar1, n1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1466 scalar_from_mp_int(scalar2, n2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1467
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1468 MP_CHECKOK(to_montgomery(px, in_x, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1469 MP_CHECKOK(to_montgomery(py, in_y, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1470 scalar_base_mult(x1, y1, z1, scalar1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1471 scalar_mult(x2, y2, z2, px, py, scalar2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1472
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1473 if (mp_cmp_z(n2) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1474 /* If n2 == 0, then {x2,y2,z2} is zero and the result is just
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1475 * {x1,y1,z1}. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1476 } else if (mp_cmp_z(n1) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1477 /* If n1 == 0, then {x1,y1,z1} is zero and the result is just
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1478 * {x2,y2,z2}. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1479 memcpy(x1, x2, sizeof(x2));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1480 memcpy(y1, y2, sizeof(y2));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1481 memcpy(z1, z2, sizeof(z2));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1482 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1483 /* This function handles the case where {x1,y1,z1} == {x2,y2,z2}. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1484 point_add_or_double_vartime(x1, y1, z1, x1, y1, z1, x2, y2, z2);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1485 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1486
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1487 point_to_affine(x_affine, y_affine, x1, y1, z1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1488 MP_CHECKOK(from_montgomery(out_x, x_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1489 MP_CHECKOK(from_montgomery(out_y, y_affine, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1490
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1491 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1492 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1493 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1494
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1495 /* Wire in fast point multiplication for named curves. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1496 mp_err ec_group_set_gfp256_32(ECGroup *group, ECCurveName name)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1497 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1498 if (name == ECCurve_NIST_P256) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1499 group->base_point_mul = &ec_GFp_nistp256_base_point_mul;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1500 group->point_mul = &ec_GFp_nistp256_point_mul;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1501 group->points_mul = &ec_GFp_nistp256_points_mul_vartime;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1502 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1503 return MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste Andre Heinecke <andre.heinecke@intevation.de> parents: diff changeset	1504 }

Mercurial > trustbridge > nss-cmake-static

annotate nss/lib/freebl/ecl/ecp_256_32.c @ 4:b513267f632f tip