135 lines
4.1 KiB
C
135 lines
4.1 KiB
C
#include "gf.h"
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//// gf4 := gf2[x]/x^2+x+1
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static inline uint8_t gf4_mul_2(uint8_t a) {
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uint8_t r = (uint8_t)(a << 1);
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r ^= (uint8_t)((a >> 1) * 7);
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return r;
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}
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static inline uint8_t gf4_mul(uint8_t a, uint8_t b) {
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uint8_t r = (uint8_t)(a * (b & 1));
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return r ^ (uint8_t)(gf4_mul_2(a) * (b >> 1));
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}
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static inline uint8_t gf4_squ(uint8_t a) {
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return a ^ (a >> 1);
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}
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static inline uint32_t gf4v_mul_2_u32(uint32_t a) {
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uint32_t bit0 = a & 0x55555555;
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uint32_t bit1 = a & 0xaaaaaaaa;
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return (bit0 << 1) ^ bit1 ^ (bit1 >> 1);
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}
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static inline uint32_t gf4v_mul_u32(uint32_t a, uint8_t b) {
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uint32_t bit0_b = ((uint32_t)0) - ((uint32_t)(b & 1));
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uint32_t bit1_b = ((uint32_t)0) - ((uint32_t)((b >> 1) & 1));
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return (a & bit0_b) ^ (bit1_b & gf4v_mul_2_u32(a));
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}
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//// gf16 := gf4[y]/y^2+y+x
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static inline uint8_t gf16_mul(uint8_t a, uint8_t b) {
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uint8_t a0 = a & 3;
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uint8_t a1 = (a >> 2);
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uint8_t b0 = b & 3;
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uint8_t b1 = (b >> 2);
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uint8_t a0b0 = gf4_mul(a0, b0);
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uint8_t a1b1 = gf4_mul(a1, b1);
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uint8_t a0b1_a1b0 = gf4_mul(a0 ^ a1, b0 ^ b1) ^ a0b0 ^ a1b1;
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uint8_t a1b1_x2 = gf4_mul_2(a1b1);
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return (uint8_t)((a0b1_a1b0 ^ a1b1) << 2 ^ a0b0 ^ a1b1_x2);
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}
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static inline uint8_t gf16_squ(uint8_t a) {
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uint8_t a0 = a & 3;
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uint8_t a1 = (a >> 2);
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a1 = gf4_squ(a1);
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uint8_t a1squ_x2 = gf4_mul_2(a1);
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return (uint8_t)((a1 << 2) ^ a1squ_x2 ^ gf4_squ(a0));
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}
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// gf16 := gf4[y]/y^2+y+x
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uint32_t PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf16v_mul_u32(uint32_t a, uint8_t b) {
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uint32_t axb0 = gf4v_mul_u32(a, b);
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uint32_t axb1 = gf4v_mul_u32(a, b >> 2);
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uint32_t a0b1 = (axb1 << 2) & 0xcccccccc;
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uint32_t a1b1 = axb1 & 0xcccccccc;
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uint32_t a1b1_2 = a1b1 >> 2;
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return axb0 ^ a0b1 ^ a1b1 ^ gf4v_mul_2_u32(a1b1_2);
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}
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uint8_t PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf256_is_nonzero(uint8_t a) {
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unsigned int a8 = a;
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unsigned int r = ((unsigned int)0) - a8;
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r >>= 8;
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return r & 1;
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}
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static inline uint8_t gf4_mul_3(uint8_t a) {
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uint8_t msk = (uint8_t)((a - 2) >> 1);
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return (uint8_t)((msk & ((int)a * 3)) | ((~msk) & ((int)a - 1)));
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}
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static inline uint8_t gf16_mul_8(uint8_t a) {
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uint8_t a0 = a & 3;
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uint8_t a1 = a >> 2;
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return (uint8_t)((gf4_mul_2(a0 ^ a1) << 2) | gf4_mul_3(a1));
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}
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// gf256 := gf16[X]/X^2+X+xy
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static inline uint8_t gf256_mul(uint8_t a, uint8_t b) {
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uint8_t a0 = a & 15;
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uint8_t a1 = (a >> 4);
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uint8_t b0 = b & 15;
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uint8_t b1 = (b >> 4);
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uint8_t a0b0 = gf16_mul(a0, b0);
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uint8_t a1b1 = gf16_mul(a1, b1);
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uint8_t a0b1_a1b0 = gf16_mul(a0 ^ a1, b0 ^ b1) ^ a0b0 ^ a1b1;
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uint8_t a1b1_x8 = gf16_mul_8(a1b1);
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return (uint8_t)((a0b1_a1b0 ^ a1b1) << 4 ^ a0b0 ^ a1b1_x8);
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}
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static inline uint8_t gf256_squ(uint8_t a) {
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uint8_t a0 = a & 15;
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uint8_t a1 = (a >> 4);
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a1 = gf16_squ(a1);
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uint8_t a1squ_x8 = gf16_mul_8(a1);
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return (uint8_t)((a1 << 4) ^ a1squ_x8 ^ gf16_squ(a0));
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}
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uint8_t PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf256_inv(uint8_t a) {
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// 128+64+32+16+8+4+2 = 254
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uint8_t a2 = gf256_squ(a);
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uint8_t a4 = gf256_squ(a2);
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uint8_t a8 = gf256_squ(a4);
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uint8_t a4_2 = gf256_mul(a4, a2);
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uint8_t a8_4_2 = gf256_mul(a4_2, a8);
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uint8_t a64_ = gf256_squ(a8_4_2);
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a64_ = gf256_squ(a64_);
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a64_ = gf256_squ(a64_);
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uint8_t a64_2 = gf256_mul(a64_, a8_4_2);
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uint8_t a128_ = gf256_squ(a64_2);
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return gf256_mul(a2, a128_);
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}
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static inline uint32_t gf4v_mul_3_u32(uint32_t a) {
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uint32_t bit0 = a & 0x55555555;
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uint32_t bit1 = a & 0xaaaaaaaa;
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return (bit0 << 1) ^ bit0 ^ (bit1 >> 1);
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}
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static inline uint32_t gf16v_mul_8_u32(uint32_t a) {
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uint32_t a1 = a & 0xcccccccc;
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uint32_t a0 = (a << 2) & 0xcccccccc;
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return gf4v_mul_2_u32(a0 ^ a1) | gf4v_mul_3_u32(a1 >> 2);
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}
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uint32_t PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf256v_mul_u32(uint32_t a, uint8_t b) {
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uint32_t axb0 = PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf16v_mul_u32(a, b);
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uint32_t axb1 = PQCLEAN_RAINBOWIIICCYCLIC_CLEAN_gf16v_mul_u32(a, b >> 4);
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uint32_t a0b1 = (axb1 << 4) & 0xf0f0f0f0;
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uint32_t a1b1 = axb1 & 0xf0f0f0f0;
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uint32_t a1b1_4 = a1b1 >> 4;
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return axb0 ^ a0b1 ^ a1b1 ^ gf16v_mul_8_u32(a1b1_4);
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}
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