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Use Plantard arithmetic for NTT_769 in Dilithium
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/** | ||
* Copyright (c) 2023 Junhao Huang ([email protected]) | ||
* | ||
* Licensed under the Apache License, Version 2.0(the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*/ | ||
#ifndef MACROS_SMALLNTT_I | ||
#define MACROS_SMALLNTT_I | ||
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// general macros | ||
.macro load a, a0, a1, a2, a3, mem0, mem1, mem2, mem3 | ||
ldr.w \a0, [\a, \mem0] | ||
ldr.w \a1, [\a, \mem1] | ||
ldr.w \a2, [\a, \mem2] | ||
ldr.w \a3, [\a, \mem3] | ||
.endm | ||
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.macro store a, a0, a1, a2, a3, mem0, mem1, mem2, mem3 | ||
str.w \a0, [\a, \mem0] | ||
str.w \a1, [\a, \mem1] | ||
str.w \a2, [\a, \mem2] | ||
str.w \a3, [\a, \mem3] | ||
.endm | ||
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.macro doubleplant a, tmp, q, qa, plantconst | ||
smulwb \tmp, \plantconst, \a | ||
smulwt \a, \plantconst, \a | ||
smlabt \tmp, \tmp, \q, \qa | ||
smlabt \a, \a, \q, \qa | ||
pkhtb \a, \a, \tmp, asr#16 | ||
.endm | ||
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.macro doublebarrett a, tmp, tmp2, q, barrettconst | ||
smulbb \tmp, \a, \barrettconst | ||
smultb \tmp2, \a, \barrettconst | ||
asr \tmp, \tmp, #26 | ||
asr \tmp2, \tmp2, #26 | ||
smulbb \tmp, \tmp, \q | ||
smulbb \tmp2, \tmp2, \q | ||
pkhbt \tmp, \tmp, \tmp2, lsl#16 | ||
usub16 \a, \a, \tmp | ||
.endm | ||
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// q locate in the top half of the register | ||
.macro plant_red q, qa, qinv, tmp | ||
mul \tmp, \tmp, \qinv | ||
//tmp*qinv mod 2^2n/ 2^n; in high half | ||
smlatt \tmp, \tmp, \q, \qa | ||
// result in high half | ||
.endm | ||
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.macro mul_twiddle_plant a, twiddle, tmp, q, qa | ||
smulwb \tmp, \twiddle, \a | ||
smulwt \a, \twiddle, \a | ||
smlabt \tmp, \tmp, \q, \qa | ||
smlabt \a, \a, \q, \qa | ||
pkhtb \a, \a, \tmp, asr#16 | ||
.endm | ||
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.macro doublebutterfly_plant a0, a1, twiddle, tmp, q, qa | ||
smulwb \tmp, \twiddle, \a1 | ||
smulwt \a1, \twiddle, \a1 | ||
smlabt \tmp, \tmp, \q, \qa | ||
smlabt \a1, \a1, \q, \qa | ||
pkhtb \tmp, \a1, \tmp, asr#16 | ||
usub16 \a1, \a0, \tmp | ||
uadd16 \a0, \a0, \tmp | ||
.endm | ||
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.macro two_doublebutterfly_plant a0, a1, a2, a3, twiddle0, twiddle1, tmp, q, qa | ||
doublebutterfly_plant \a0, \a1, \twiddle0, \tmp, \q, \qa | ||
doublebutterfly_plant \a2, \a3, \twiddle1, \tmp, \q, \qa | ||
.endm | ||
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//For 3329 | ||
.macro fullplant a0, a1, a2, a3, a4, a5, a6, a7, tmp, q, qa, plantconst | ||
movw \plantconst, #44984 | ||
movt \plantconst, #19 | ||
doubleplant \a0, \tmp, \q, \qa, \plantconst | ||
doubleplant \a1, \tmp, \q, \qa, \plantconst | ||
doubleplant \a2, \tmp, \q, \qa, \plantconst | ||
doubleplant \a3, \tmp, \q, \qa, \plantconst | ||
doubleplant \a4, \tmp, \q, \qa, \plantconst | ||
doubleplant \a5, \tmp, \q, \qa, \plantconst | ||
doubleplant \a6, \tmp, \q, \qa, \plantconst | ||
doubleplant \a7, \tmp, \q, \qa, \plantconst | ||
.endm | ||
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#endif |
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/** | ||
* Copyright (c) 2023 Junhao Huang ([email protected]) | ||
* | ||
* Licensed under the Apache License, Version 2.0(the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*/ | ||
#ifndef SMALLNTT_H | ||
#define SMALLNTT_H | ||
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#include <stdint.h> | ||
#include "params.h" | ||
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static const int16_t zetas[64] = { | ||
-23, 112, -151, -134, -52, -148, 227, 232, | ||
-71, 212, 236, 21, 341, 379, -202, -220, | ||
352, 292, 238, 145, 194, -276, 70, -274, | ||
117, 333, 66, 247, -237, -83, -252, -244, | ||
331, -241, 167, 357, -355, 291, -358, 105, -115, -209, 14, 99, -260, 29, 366, -378, -318, 278, 353, 354, -184, 127, 330, -303, 222, -78, -348, -44, 201, 158, 350, 168 | ||
}; | ||
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static const int16_t zetas_asm[128] = { | ||
0, -164, -81, 361, 186, -3, -250, -120, -308, 129, -16, -223, -362, -143, 131, -337, | ||
-76, 147, -114, -23, 112, -151, -134, | ||
-98, -272, 54, -52, -148, 227, 232, | ||
36, -2, -124, -71, 212, 236, 21, | ||
-75, -80, -346, 341, 379, -202, -220, | ||
-339, 86, -51, 352, 292, 238, 145, | ||
-255, 364, 267, 194, -276, 70, -274, | ||
282, 161, -15, 117, 333, 66, 247, | ||
-203, 288, 169, -237, -83, -252, -244, | ||
-34, 191, 307, 331, -241, 167, 357, | ||
199, -50, -24, -355, 291, -358, 105, | ||
178, -170, 226, -115, -209, 14, 99, | ||
270, 121, -188, -260, 29, 366, -378, | ||
-10, -380, 279, -318, 278, 353, 354, | ||
149, 180, -375, -184, 127, 330, -303, | ||
369, -157, 263, 222, -78, -348, -44, | ||
-192, -128, -246, 201, 158, 350, 168 | ||
}; | ||
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static const int16_t zetas_inv_CT_asm[256] = { | ||
0, 171, 171, 164, 171, -361, 164, 81, 171, 120, -361, 3, 164, 250, 81, -186, | ||
171, 164, 171, -361, 164, 81, -257, 49, -141, -18, -215, 38, 283, 347, 337, 192, -369, 246, -263, 128, 157, 239, -264, 179, 301, -207, 219, -332, -206, 120, 337, -131, 192, -149, -369, 10, 62, 57, 40, 136, 1, 311, -173, 27, 223, 203, -282, -169, 15, -288, -161, 74, -56, 271, -309, 26, -373, 116, -67, -361, 120, 250, 337, 143, -131, 362, -383, 82, 125, -344, -93, 299, -60, -204, 143, -270, -178, 188, -226, -121, 170, 39, -175, 174, 284, -111, 84, -22, 79, 3, 223, 16, 203, 255, -282, 339, 245, 64, -90, -306, 190, -123, 197, -253, -129, 75, -36, 346, 124, 80, 2, 218, 126, -33, -266, 326, -122, -261, 343, 164, -361, 81, 120, 3, 250, -186, 285, 200, -89, 5, 17, -96, 135, -310, -131, -149, 10, 375, -279, -180, 380, -280, -183, -7, 130, -327, -189, -335, -370, 250, 143, 362, -270, -199, -178, 34, -359, -144, -182, 304, -43, -300, -251, 377, 16, 255, 339, -267, 51, -364, -86, -106, 101, -118, 214, -349, -110, -374, -195, 81, 3, -186, 223, -129, 16, 308, 320, 319, 8, 181, 154, 216, 273, 313, 362, -199, 34, 24, -307, 50, -191, -139, -165, 208, 92, 159, 233, 177, -321, -186, -129, 308, 75, 98, -36, 76, 231, 324, 25, 85, 289, -94, -12, 113, 308, 98, 76, -54, 114, 272, -147, -146, -35, -119, -97, -176, -137, -312, -138, | ||
}; | ||
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#define SMALL_Q 769 | ||
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void small_ntt_asm(int16_t a[N], const int16_t * zetas); | ||
void small_invntt_tomont_asm(int16_t a[N], const int16_t * zetas); | ||
void small_pointmul_asm(int16_t out[N], const int16_t in[N], const int16_t *zetas); | ||
void small_asymmetric_mul_asm(int16_t c[256], const int16_t a[256], const int16_t b[256], const int16_t b_prime[256]); | ||
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#define small_ntt(a) small_ntt_asm(a, zetas_asm) | ||
#define small_invntt_tomont(a) small_invntt_tomont_asm(a, zetas_inv_CT_asm) | ||
#define small_point_mul(out, in) small_pointmul_asm(out, in, zetas) | ||
#define small_asymmetric_mul(c, a, b, b_prime) small_asymmetric_mul_asm(c, a, b, b_prime); | ||
#define SMALL_Q 769 | ||
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static const int32_t zetas_769[64] = { | ||
3138844760, 1334846793, 999738812, 1854264165, 1681125041, 1150537404, 2820492178, 3071823164, 726067294, 2066499220, 3272887953, 1055590142, 4255871365, 1871019564, 2731130050, 1826338500, 513832239, 1792827701, 3373420347, 2993631302, 1161707670, 3306398751, 3518633806, 3406931146, 1586177780, 3853741788, 3317569017, 3825816122, 971813147, 122872927, 217820188, 619949766, 3753209393, 770748358, 4099487641, 765163225, 3630336467, 1742561504, 3479537875, 982983413, 2809321912, 2379266669, 703726762, 681386230, 4110657907, 1457719720, 1217559000, 2474213930, 1195218468, 1089100940, 564098436, 614364633, 3635921600, 2088839752, 3702943196, 1949211426, 2569161192, 374203913, 3982199847, 2083254619, 1513571050, 3647091866, 413299844, 4149753838}; | ||
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static const int32_t zetas_asm_769[128] = { | ||
346278248, 223405321, 966228013, 759578091, -150798592, 318352582, -1736976371, 1697880440, -2105595150, -804259156, 1675539907, -1016494210, 1401868389, -2005062756, 240160720, 474736307, -1200803600, -1435379187, -1156122536, 1334846793, 999738811, 1854264164, -631120032, -787503756, -1580592646, 1681125040, 1150537403, -1474475119, -1223144132, 1809583100, -100532394, -1938041160, 726067293, 2066499219, -1022079344, 1055590142, 525002504, 273671518, -212235055, -39095931, 1871019563, -1563837247, 1826338499, 139628326, 27925665, 1731391238, 513832238, 1792827701, -921546949, -1301335995, 67021596, 1117026605, 536172770, 1161707669, -988568545, -776333490, -888036151, 1290165729, -497076839, -753992958, 1586177779, -441225509, -977398279, -469151174, -1614103444, 1591762912, -94947261, 971813146, 122872927, 217820188, 619949766, -1709050706, 1010909077, -1748146637, -541757903, 770748357, -195479656, 765163224, 1413038655, 1781657435, -1206388733, -664630830, 1742561504, -815429422, 982983412, 357448514, 44681064, -1524741316, -1485645385, -1915700627, 703726761, 681386229, 686971362, 1787242568, -860110486, -184309390, 1457719719, 1217558999, -1820753366, -502661972, -1921285760, 1139367137, 1195218467, 1089100940, 564098435, 614364633, -1100271206, 457980908, -1669954774, -659045697, 2088839751, -592024101, 1949211426, 1368357591, 698141628, 335107981, -1725806105, 374203913, -312767449, 2083254618, -1061175275, -2139105948, 519417371, 1513571050, -647875431, 413299844, -145213459, 0}; | ||
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// INTT with CT butterfly | ||
static const int32_t zetas_inv_asm_769[256] = { | ||
5585134, 5585134, -346278248, 5585134, -966228013, -346278248, -223405321, 5585134, 1736976371, -966228013, 150798592, -346278248, -318352582, -223405321, -759578091, | ||
// removed first "2285" + LAYER 3+2+1 - 1 - butterfly | ||
5585134, -346278248, 5585134, -966228013, -346278248, -223405321, 636705165, 446810642, 1519156183, 11170266, -821014555, -1932456027, 301597183, -692556495, -240160720, 1061175275, -1368357591, -519417371, -335107981, 2139105948, -698141628, -625534899, -1267825197, 843355087, 290426917, 128458060, 1295750862, -748407825, -826599688, 1736976371, -240160720, 2005062756, 1061175275, 1100271206, -1368357591, 502661972, 915961816, 1396283256, 452395775, -1038834743, -955057747, -670215963, 2016233022, -16755399, -1675539907, 1614103444, -1290165729, 94947261, 753992958, -1591762912, 497076839, -1954796559, 1943626293, -1122611738, -1239899531, 938302348, -245745853, 882451018, -435640376, -966228013, 1736976371, -318352582, -240160720, -1401868389, 2005062756, 1016494210, 714897027, -1005323944, 876865885, 2122350549, -1373942724, -2094424884, 1468889985, 1558252114, -1401868389, -686971362, -357448514, 860110486, 1524741316, -1787242568, -44681064, 1407453522, -368618780, 1323676527, -653460564, -1362772458, 1379527857, -463566041, 1859849297, 150798592, -1675539907, 804259156, 1614103444, -67021596, -1290165729, -139628326, -2060914086, -994153678, 55851330, 189894523, -1072345541, 1507985917, 832184821, 1111441472, 2105595150, -525002504, -1809583100, 212235055, 1938041160, -273671518, 100532394, -2044158687, -78191862, 1452134586, 642290298, -2111180283, 552928169, 161968858, -1167292802, -346278248, -966228013, -223405321, 1736976371, 150798592, -318352582, -759578091, -1608518311, -2032988421, -899206417, -480321440, 943887481, 1491230518, -83776995, -284841784, 2005062756, 1100271206, 502661972, 1669954774, -1139367137, -457980908, 1921285760, 1128196871, -1318091394, -1904530361, 396544445, -1228729265, 117287794, 2116765416, 1184048201, -318352582, -1401868389, 1016494210, -686971362, -1413038655, -357448514, 1709050706, -731652426, 89362128, 2021818155, 1720220972, -1882189829, -1245484665, -798674023, 720482160, 804259156, -67021596, -139628326, -536172770, -1731391238, -1117026605, -27925665, -1843093898, -1971551958, 1027664477, 1776072302, -1692295306, 1977137091, 709311894, 1552666981, -223405321, 150798592, -759578091, -1675539907, 2105595150, 804259156, -1697880440, -675801096, 279256651, 949472614, -1066760408, -1050005009, -134043193, 1262240064, 1714635839, 1016494210, -1413038655, 1709050706, 1206388733, 1748146637, -1781657435, -1010909077, -390959312, -1329261660, -1083515807, -1965966825, -1530326449, 809844289, -1541496715, 1630858843, -759578091, 2105595150, -1697880440, -525002504, 631120032, -1809583100, -474736307, -1575007513, -201064789, 1893360095, 424470110, -1133782004, -418884977, -1424208921, -547343036, -1697880440, 631120032, -474736307, 1580592646, 1435379187, 787503756, 1200803600, 1999477623, -932717215, 1982722224, -1848679031, 586438968, 1993892490, 1625273710, -1346017059, 0}; | ||
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// Q1=769 | ||
void small_ntt_asm_769(int16_t a[N], const int32_t *zetas); | ||
void small_invntt_asm_769(int16_t a[N], const int32_t *zetas); | ||
void small_pointmul_asm_769(int16_t out[N], const int16_t in[N], const int32_t *zetas); | ||
void small_asymmetric_mul_asm_769(int16_t c[N], const int16_t a[N], const int16_t b[N], const int16_t b_prime[N]); | ||
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// small NTT for computing cs0 and cs1; default use 769 as modulus. | ||
#define small_ntt(a) small_ntt_asm_769(a, zetas_asm_769) | ||
#define small_invntt_tomont(a) small_invntt_asm_769(a, zetas_inv_asm_769) | ||
#define small_point_mul(out, in) small_pointmul_asm_769(out, in, zetas_769) | ||
#define small_asymmetric_mul(c, a, b, b_prime) small_asymmetric_mul_asm_769(c, a, b, b_prime); | ||
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#endif |
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