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@@ -3,237 +3,20 @@ |
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#include <stdint.h> |
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#include <string.h> |
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#define SCHB_N 16 |
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#define N_RES (SABER_N << 1) |
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#define N_SB (SABER_N >> 2) |
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#define N_SB_RES (2*N_SB-1) |
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static void karatsuba_simple(const uint16_t *a_1, const uint16_t *b_1, uint16_t *result_final) { //uses 10 registers |
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uint16_t N = 64; |
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uint16_t d01[N / 2 - 1]; |
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uint16_t d0123[N / 2 - 1]; |
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uint16_t d23[N / 2 - 1]; |
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uint16_t result_d01[N - 1]; |
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int32_t i, j; |
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memset(result_d01, 0, (N - 1)*sizeof(uint16_t)); |
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memset(d01, 0, (N / 2 - 1)*sizeof(uint16_t)); |
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memset(d0123, 0, (N / 2 - 1)*sizeof(uint16_t)); |
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memset(d23, 0, (N / 2 - 1)*sizeof(uint16_t)); |
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memset(result_final, 0, (2 * N - 1)*sizeof(uint16_t)); |
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uint16_t acc1, acc2, acc3, acc4, acc5, acc6, acc7, acc8, acc9, acc10; |
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for (i = 0; i < N / 4; i++) { |
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acc1 = a_1[i]; //a0 |
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acc2 = a_1[i + N / 4]; //a1 |
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acc3 = a_1[i + 2 * N / 4]; //a2 |
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acc4 = a_1[i + 3 * N / 4]; //a3 |
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for (j = 0; j < N / 4; j++) { |
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acc5 = b_1[j]; //b0 |
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acc6 = b_1[j + N / 4]; //b1 |
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result_final[i + j + 0 * N / 4] = result_final[i + j + 0 * N / 4] + acc1 * acc5; |
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result_final[i + j + 2 * N / 4] = result_final[i + j + 2 * N / 4] + acc2 * acc6; |
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acc7 = acc5 + acc6; //b01 |
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acc8 = acc1 + acc2; //a01 |
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d01[i + j] = d01[i + j] + acc7 * acc8; |
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//-------------------------------------------------------- |
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acc7 = b_1[j + 2 * N / 4]; //b2 |
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acc8 = b_1[j + 3 * N / 4]; //b3 |
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result_final[i + j + 4 * N / 4] = result_final[i + j + 4 * N / 4] + acc7 * acc3; |
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result_final[i + j + 6 * N / 4] = result_final[i + j + 6 * N / 4] + acc8 * acc4; |
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acc9 = acc3 + acc4; |
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acc10 = acc7 + acc8; |
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d23[i + j] = d23[i + j] + acc9 * acc10; |
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//-------------------------------------------------------- |
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acc5 = acc5 + acc7; //b02 |
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acc7 = acc1 + acc3; //a02 |
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result_d01[i + j + 0 * N / 4] = result_d01[i + j + 0 * N / 4] + acc5 * acc7; |
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acc6 = acc6 + acc8; //b13 |
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acc8 = acc2 + acc4; |
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result_d01[i + j + 2 * N / 4] = result_d01[i + j + 2 * N / 4] + acc6 * acc8; |
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acc5 = acc5 + acc6; |
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acc7 = acc7 + acc8; |
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d0123[i + j] = d0123[i + j] + acc5 * acc7; |
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} |
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} |
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//------------------2nd last stage------------------------- |
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for (i = 0; i < N / 2 - 1; i++) { |
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d0123[i] = d0123[i] - result_d01[i + 0 * N / 4] - result_d01[i + 2 * N / 4]; |
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d01[i] = d01[i] - result_final[i + 0 * N / 4] - result_final[i + 2 * N / 4]; |
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d23[i] = d23[i] - result_final[i + 4 * N / 4] - result_final[i + 6 * N / 4]; |
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} |
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for (i = 0; i < N / 2 - 1; i++) { |
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result_d01[i + 1 * N / 4] = result_d01[i + 1 * N / 4] + d0123[i]; |
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result_final[i + 1 * N / 4] = result_final[i + 1 * N / 4] + d01[i]; |
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result_final[i + 5 * N / 4] = result_final[i + 5 * N / 4] + d23[i]; |
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} |
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//------------Last stage--------------------------- |
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for (i = 0; i < N - 1; i++) { |
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result_d01[i] = result_d01[i] - result_final[i] - result_final[i + N]; |
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} |
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for (i = 0; i < N - 1; i++) { |
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result_final[i + 1 * N / 2] = result_final[i + 1 * N / 2] + result_d01[i]; //-result_d0[i]-result_d1[i]; |
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} |
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} |
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static void toom_cook_4way (const uint16_t *a1, const uint16_t *b1, uint16_t *result) { |
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uint16_t inv3 = 43691, inv9 = 36409, inv15 = 61167; |
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uint16_t aw1[N_SB], aw2[N_SB], aw3[N_SB], aw4[N_SB], aw5[N_SB], aw6[N_SB], aw7[N_SB]; |
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uint16_t bw1[N_SB], bw2[N_SB], bw3[N_SB], bw4[N_SB], bw5[N_SB], bw6[N_SB], bw7[N_SB]; |
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uint16_t w1[N_SB_RES] = {0}, w2[N_SB_RES] = {0}, w3[N_SB_RES] = {0}, w4[N_SB_RES] = {0}, |
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w5[N_SB_RES] = {0}, w6[N_SB_RES] = {0}, w7[N_SB_RES] = {0}; |
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uint16_t r0, r1, r2, r3, r4, r5, r6, r7; |
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uint16_t *A0, *A1, *A2, *A3, *B0, *B1, *B2, *B3; |
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A0 = (uint16_t *)a1; |
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A1 = (uint16_t *)&a1[N_SB]; |
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A2 = (uint16_t *)&a1[2 * N_SB]; |
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A3 = (uint16_t *)&a1[3 * N_SB]; |
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B0 = (uint16_t *)b1; |
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B1 = (uint16_t *)&b1[N_SB]; |
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B2 = (uint16_t *)&b1[2 * N_SB]; |
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B3 = (uint16_t *)&b1[3 * N_SB]; |
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uint16_t *C; |
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C = result; |
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int i, j; |
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// EVALUATION |
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for (j = 0; j < N_SB; ++j) { |
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r0 = A0[j]; |
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r1 = A1[j]; |
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r2 = A2[j]; |
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r3 = A3[j]; |
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r4 = r0 + r2; |
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r5 = r1 + r3; |
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r6 = r4 + r5; |
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r7 = r4 - r5; |
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aw3[j] = r6; |
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aw4[j] = r7; |
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r4 = ((r0 << 2) + r2) << 1; |
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r5 = (r1 << 2) + r3; |
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r6 = r4 + r5; |
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r7 = r4 - r5; |
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aw5[j] = r6; |
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aw6[j] = r7; |
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r4 = (r3 << 3) + (r2 << 2) + (r1 << 1) + r0; |
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aw2[j] = r4; |
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aw7[j] = r0; |
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aw1[j] = r3; |
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} |
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for (j = 0; j < N_SB; ++j) { |
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r0 = B0[j]; |
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r1 = B1[j]; |
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r2 = B2[j]; |
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r3 = B3[j]; |
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r4 = r0 + r2; |
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r5 = r1 + r3; |
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r6 = r4 + r5; |
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r7 = r4 - r5; |
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bw3[j] = r6; |
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bw4[j] = r7; |
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r4 = ((r0 << 2) + r2) << 1; |
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r5 = (r1 << 2) + r3; |
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r6 = r4 + r5; |
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r7 = r4 - r5; |
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bw5[j] = r6; |
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bw6[j] = r7; |
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r4 = (r3 << 3) + (r2 << 2) + (r1 << 1) + r0; |
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bw2[j] = r4; |
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bw7[j] = r0; |
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bw1[j] = r3; |
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} |
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// MULTIPLICATION |
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karatsuba_simple(aw1, bw1, w1); |
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karatsuba_simple(aw2, bw2, w2); |
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karatsuba_simple(aw3, bw3, w3); |
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karatsuba_simple(aw4, bw4, w4); |
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karatsuba_simple(aw5, bw5, w5); |
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karatsuba_simple(aw6, bw6, w6); |
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karatsuba_simple(aw7, bw7, w7); |
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// INTERPOLATION |
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for (i = 0; i < N_SB_RES; ++i) { |
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r0 = w1[i]; |
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r1 = w2[i]; |
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r2 = w3[i]; |
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r3 = w4[i]; |
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r4 = w5[i]; |
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r5 = w6[i]; |
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r6 = w7[i]; |
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r1 = r1 + r4; |
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r5 = r5 - r4; |
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r3 = ((r3 - r2) >> 1); |
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r4 = r4 - r0; |
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r4 = r4 - (r6 << 6); |
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r4 = (r4 << 1) + r5; |
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r2 = r2 + r3; |
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r1 = r1 - (r2 << 6) - r2; |
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r2 = r2 - r6; |
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r2 = r2 - r0; |
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r1 = r1 + 45 * r2; |
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r4 = (((r4 - (r2 << 3)) * inv3) >> 3); |
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r5 = r5 + r1; |
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r1 = (((r1 + (r3 << 4)) * inv9) >> 1); |
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r3 = -(r3 + r1); |
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r5 = (((30 * r1 - r5) * inv15) >> 2); |
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r2 = r2 - r4; |
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r1 = r1 - r5; |
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C[i] += r6; |
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C[i + 64] += r5; |
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C[i + 128] += r4; |
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C[i + 192] += r3; |
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C[i + 256] += r2; |
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C[i + 320] += r1; |
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C[i + 384] += r0; |
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} |
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} |
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void PQCLEAN_SABER_CLEAN_pol_mul(uint16_t *a, uint16_t *b, uint16_t *res, uint16_t p, uint32_t n) { |
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void PQCLEAN_SABER_CLEAN_pol_mul(const uint16_t *a, const uint16_t *b, uint16_t *res, uint16_t p, uint32_t n) { |
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// Polynomial multiplication using the schoolbook method, c[x] = a[x]*b[x] |
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// SECURITY NOTE: TO BE USED FOR TESTING ONLY. |
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uint32_t i; |
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//-------------------normal multiplication----------------- |
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uint16_t c[512]; |
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for (i = 0; i < 512; i++) { |
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c[i] = 0; |
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// normal multiplication |
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uint16_t c[2 * SABER_N] = {0}; |
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for (size_t i = 0; i < SABER_N; i++) { |
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for (size_t j = 0; j < SABER_N; j++) { |
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c[i + j] += a[i] * b[j]; |
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} |
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} |
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toom_cook_4way(a, b, c); |
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//---------------reduction------- |
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for (i = n; i < 2 * n; i++) { |
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// reduction |
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for (size_t i = n; i < 2 * n; i++) { |
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res[i - n] = (c[i - n] - c[i]) & (p - 1); |
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} |
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} |