/* This file is for the Gao-Mateer FFT sse http://www.math.clemson.edu/~sgao/papers/GM10.pdf */ #include "fft.h" #include "transpose.h" #include "vec256.h" #include <stdint.h> /* input: in, polynomial in bitsliced form */ /* output: in, result of applying the radix conversions on in */ static void radix_conversions(vec128 *in) { int i, j, k; vec128 t; uint64_t v0, v1; const vec128 mask[5][2] = { { PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x8888888888888888, 0x8888888888888888), PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x4444444444444444, 0x4444444444444444) }, { PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0xC0C0C0C0C0C0C0C0, 0xC0C0C0C0C0C0C0C0), PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x3030303030303030, 0x3030303030303030) }, { PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0xF000F000F000F000, 0xF000F000F000F000), PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x0F000F000F000F00, 0x0F000F000F000F00) }, { PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0xFF000000FF000000, 0xFF000000FF000000), PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x00FF000000FF0000, 0x00FF000000FF0000) }, { PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0xFFFF000000000000, 0xFFFF000000000000), PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(0x0000FFFF00000000, 0x0000FFFF00000000) } }; const vec128 s[5][GFBITS] = { #include "scalars_2x.inc" }; // for (j = 0; j <= 5; j++) { for (i = 0; i < GFBITS; i++) { v1 = PQCLEAN_MCELIECE8192128_AVX_vec128_extract(in[i], 1); v1 ^= v1 >> 32; v0 = PQCLEAN_MCELIECE8192128_AVX_vec128_extract(in[i], 0); v0 ^= v1 << 32; in[i] = PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(v0, v1); } for (i = 0; i < GFBITS; i++) { for (k = 4; k >= j; k--) { t = PQCLEAN_MCELIECE8192128_AVX_vec128_and(in[i], mask[k][0]); t = PQCLEAN_MCELIECE8192128_AVX_vec128_srl_2x(t, 1 << k); in[i] = PQCLEAN_MCELIECE8192128_AVX_vec128_xor(in[i], t); t = PQCLEAN_MCELIECE8192128_AVX_vec128_and(in[i], mask[k][1]); t = PQCLEAN_MCELIECE8192128_AVX_vec128_srl_2x(t, 1 << k); in[i] = PQCLEAN_MCELIECE8192128_AVX_vec128_xor(in[i], t); } } if (j < 5) { PQCLEAN_MCELIECE8192128_AVX_vec128_mul(in, in, s[j]); // scaling } } } /* input: in, result of applying the radix conversions to the input polynomial */ /* output: out, evaluation results (by applying the FFT butterflies) */ static void butterflies(vec256 out[][ GFBITS ], vec128 *in) { int i, j, k, s, b; vec128 tmp[ GFBITS ]; vec256 tmp0[ GFBITS ]; vec256 tmp1[ GFBITS ]; vec128 t[ GFBITS ]; union { vec128 v[8][ GFBITS + 1 ]; vec256 V[8][ (GFBITS + 1) / 2 ]; } pre; union { vec128 v[64][ 2 ]; vec256 V[64]; } buf; uint64_t v0, v1; const vec256 consts[ 33 ][ GFBITS ] = { #include "consts.inc" }; const vec256 powers[ 32 ][ GFBITS ] = { #include "powers.inc" }; uint64_t consts_ptr = 2; const unsigned char reversal[64] = { 0, 32, 16, 48, 8, 40, 24, 56, 4, 36, 20, 52, 12, 44, 28, 60, 2, 34, 18, 50, 10, 42, 26, 58, 6, 38, 22, 54, 14, 46, 30, 62, 1, 33, 17, 49, 9, 41, 25, 57, 5, 37, 21, 53, 13, 45, 29, 61, 3, 35, 19, 51, 11, 43, 27, 59, 7, 39, 23, 55, 15, 47, 31, 63 }; const uint16_t beta[8] = {2522, 7827, 7801, 8035, 6897, 8167, 3476, 0}; // boradcast for (j = 0; j < GFBITS; j++) { t[j] = PQCLEAN_MCELIECE8192128_AVX_vec128_unpack_high(in[j], in[j]); } for (i = 0; i < 8; i += 2) { for (j = 0; j < GFBITS; j++) { v0 = (beta[i + 0] >> j) & 1; v0 = -v0; v1 = (beta[i + 1] >> j) & 1; v1 = -v1; tmp[j] = PQCLEAN_MCELIECE8192128_AVX_vec128_set2x(v0, v1); } PQCLEAN_MCELIECE8192128_AVX_vec128_mul(tmp, t, tmp); for (j = 0; j < GFBITS; j++) { pre.v[i + 0][j] = PQCLEAN_MCELIECE8192128_AVX_vec128_unpack_low(tmp[j], tmp[j]); pre.v[i + 1][j] = PQCLEAN_MCELIECE8192128_AVX_vec128_unpack_high(tmp[j], tmp[j]); } } for (i = 0; i < GFBITS; i += 2) { if (i != GFBITS - 1) { buf.v[0][1] = PQCLEAN_MCELIECE8192128_AVX_vec128_unpack_low(in[i + 1], in[i + 1] ^ pre.v[6][i + 1]); } buf.v[0][0] = PQCLEAN_MCELIECE8192128_AVX_vec128_unpack_low(in[i + 0], in[i + 0] ^ pre.v[6][i + 0]); buf.V[1] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[0], pre.V[0][i / 2]); buf.V[16] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[0], pre.V[4][i / 2]); buf.V[3] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[1], pre.V[1][i / 2]); buf.V[48] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[16], pre.V[5][i / 2]); buf.V[49] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[48], pre.V[0][i / 2]); buf.V[2] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[0], pre.V[1][i / 2]); buf.V[51] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[49], pre.V[1][i / 2]); buf.V[6] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[2], pre.V[2][i / 2]); buf.V[50] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[51], pre.V[0][i / 2]); buf.V[7] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[6], pre.V[0][i / 2]); buf.V[54] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[50], pre.V[2][i / 2]); buf.V[5] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[7], pre.V[1][i / 2]); buf.V[55] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[54], pre.V[0][i / 2]); buf.V[53] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[55], pre.V[1][i / 2]); buf.V[4] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[0], pre.V[2][i / 2]); buf.V[52] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[53], pre.V[0][i / 2]); buf.V[12] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[4], pre.V[3][i / 2]); buf.V[60] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[52], pre.V[3][i / 2]); buf.V[13] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[12], pre.V[0][i / 2]); buf.V[61] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[60], pre.V[0][i / 2]); buf.V[15] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[13], pre.V[1][i / 2]); buf.V[63] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[61], pre.V[1][i / 2]); buf.V[14] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[15], pre.V[0][i / 2]); buf.V[62] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[63], pre.V[0][i / 2]); buf.V[10] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[14], pre.V[2][i / 2]); buf.V[58] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[62], pre.V[2][i / 2]); buf.V[11] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[10], pre.V[0][i / 2]); buf.V[59] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[58], pre.V[0][i / 2]); buf.V[9] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[11], pre.V[1][i / 2]); buf.V[57] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[59], pre.V[1][i / 2]); buf.V[56] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[57], pre.V[0][i / 2]); buf.V[8] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[0], pre.V[3][i / 2]); buf.V[40] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[56], pre.V[4][i / 2]); buf.V[24] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[8], pre.V[4][i / 2]); buf.V[41] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[40], pre.V[0][i / 2]); buf.V[25] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[24], pre.V[0][i / 2]); buf.V[43] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[41], pre.V[1][i / 2]); buf.V[27] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[25], pre.V[1][i / 2]); buf.V[42] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[43], pre.V[0][i / 2]); buf.V[26] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[27], pre.V[0][i / 2]); buf.V[46] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[42], pre.V[2][i / 2]); buf.V[30] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[26], pre.V[2][i / 2]); buf.V[47] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[46], pre.V[0][i / 2]); buf.V[31] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[30], pre.V[0][i / 2]); buf.V[45] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[47], pre.V[1][i / 2]); buf.V[29] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[31], pre.V[1][i / 2]); buf.V[44] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[45], pre.V[0][i / 2]); buf.V[28] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[29], pre.V[0][i / 2]); buf.V[36] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[44], pre.V[3][i / 2]); buf.V[20] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[28], pre.V[3][i / 2]); buf.V[37] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[36], pre.V[0][i / 2]); buf.V[21] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[20], pre.V[0][i / 2]); buf.V[39] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[37], pre.V[1][i / 2]); buf.V[23] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[21], pre.V[1][i / 2]); buf.V[38] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[39], pre.V[0][i / 2]); buf.V[22] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[23], pre.V[0][i / 2]); buf.V[34] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[38], pre.V[2][i / 2]); buf.V[18] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[22], pre.V[2][i / 2]); buf.V[35] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[34], pre.V[0][i / 2]); buf.V[19] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[18], pre.V[0][i / 2]); buf.V[33] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[35], pre.V[1][i / 2]); buf.V[17] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[19], pre.V[1][i / 2]); buf.V[32] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(buf.V[33], pre.V[0][i / 2]); // transpose PQCLEAN_MCELIECE8192128_AVX_transpose_64x256_sp(buf.V); for (j = 0; j < 32; j++) { if (i != GFBITS - 1) { out[j][i + 1] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_high(buf.V[ reversal[2 * j + 0] ], buf.V[ reversal[2 * j + 1] ]); } out[j][i + 0] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_low (buf.V[ reversal[2 * j + 0] ], buf.V[ reversal[2 * j + 1] ]); } } // butterflies for (k = 0; k < 32; k += 2) { for (b = 0; b < GFBITS; b++) { tmp0[b] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_low (out[k][b], out[k + 1][b]); } for (b = 0; b < GFBITS; b++) { tmp1[b] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_high (out[k][b], out[k + 1][b]); } PQCLEAN_MCELIECE8192128_AVX_vec256_maa_asm(tmp0, tmp1, consts[1]); for (b = 0; b < GFBITS; b++) { out[k][b] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_low (tmp0[b], tmp1[b]); } for (b = 0; b < GFBITS; b++) { out[k + 1][b] = PQCLEAN_MCELIECE8192128_AVX_vec256_unpack_high (tmp0[b], tmp1[b]); } } for (i = 0; i <= 4; i++) { s = 1 << i; for (j = 0; j < 32; j += 2 * s) { for (k = j; k < j + s; k++) { PQCLEAN_MCELIECE8192128_AVX_vec256_maa_asm(out[k], out[k + s], consts[ consts_ptr + (k - j) ]); } } consts_ptr += (1 << i); } // adding the part contributed by x^128 for (i = 0; i < 32; i++) { for (b = 0; b < GFBITS; b++) { out[i][b] = PQCLEAN_MCELIECE8192128_AVX_vec256_xor(out[i][b], powers[i][b]); } } } /* input: in, polynomial in bitsliced form */ /* output: out, bitsliced results of evaluating in all the field elements */ void PQCLEAN_MCELIECE8192128_AVX_fft(vec256 out[][GFBITS], vec128 *in) { radix_conversions(in); butterflies(out, in); }