130 lines
5.1 KiB
C
130 lines
5.1 KiB
C
#ifndef GF2X_ARITH_MOD_XPLUSONE_H
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#define GF2X_ARITH_MOD_XPLUSONE_H
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#include "qc_ldpc_parameters.h"
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#include "gf2x_arith.h"
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#include "rng.h"
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#define NUM_BITS_GF2X_ELEMENT (P) // 52147
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#define NUM_DIGITS_GF2X_ELEMENT ((P+DIGIT_SIZE_b-1)/DIGIT_SIZE_b)
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#define MSb_POSITION_IN_MSB_DIGIT_OF_ELEMENT ((P % DIGIT_SIZE_b) ? (P % DIGIT_SIZE_b)-1 : DIGIT_SIZE_b-1)
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#define NUM_BITS_GF2X_MODULUS (P+1)
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#define NUM_DIGITS_GF2X_MODULUS ((P+1+DIGIT_SIZE_b-1)/DIGIT_SIZE_b)
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#define MSb_POSITION_IN_MSB_DIGIT_OF_MODULUS (P-DIGIT_SIZE_b*(NUM_DIGITS_GF2X_MODULUS-1))
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#define INVALID_POS_VALUE (P)
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#define P_BITS (16) // log_2(p) = 15.6703
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static inline void gf2x_copy(DIGIT dest[], const DIGIT in[]) {
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for (int i = NUM_DIGITS_GF2X_ELEMENT - 1; i >= 0; i--) {
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dest[i] = in[i];
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}
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}
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/* returns the coefficient of the x^exponent term as the LSB of a digit */
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static inline DIGIT gf2x_get_coeff(const DIGIT poly[], unsigned int exponent) {
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unsigned int straightIdx = (NUM_DIGITS_GF2X_ELEMENT * DIGIT_SIZE_b - 1) - exponent;
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unsigned int digitIdx = straightIdx / DIGIT_SIZE_b;
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unsigned int inDigitIdx = straightIdx % DIGIT_SIZE_b;
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return (poly[digitIdx] >> (DIGIT_SIZE_b - 1 - inDigitIdx)) & ((DIGIT) 1) ;
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}
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/* sets the coefficient of the x^exponent term as the LSB of a digit */
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static inline void gf2x_set_coeff(DIGIT poly[], unsigned int exponent, DIGIT value) {
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unsigned int straightIdx = (NUM_DIGITS_GF2X_ELEMENT * DIGIT_SIZE_b - 1) - exponent;
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unsigned int digitIdx = straightIdx / DIGIT_SIZE_b;
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unsigned int inDigitIdx = straightIdx % DIGIT_SIZE_b;
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/* clear given coefficient */
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DIGIT mask = ~( ((DIGIT) 1) << (DIGIT_SIZE_b - 1 - inDigitIdx));
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poly[digitIdx] = poly[digitIdx] & mask;
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poly[digitIdx] = poly[digitIdx] | (( value & ((DIGIT) 1)) << (DIGIT_SIZE_b - 1 - inDigitIdx));
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}
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/* toggles (flips) the coefficient of the x^exponent term as the LSB of a digit */
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static inline void gf2x_toggle_coeff(DIGIT poly[], unsigned int exponent) {
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unsigned int straightIdx = (NUM_DIGITS_GF2X_ELEMENT * DIGIT_SIZE_b - 1) - exponent;
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unsigned int digitIdx = straightIdx / DIGIT_SIZE_b;
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unsigned int inDigitIdx = straightIdx % DIGIT_SIZE_b;
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/* clear given coefficient */
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DIGIT mask = ( ((DIGIT) 1) << (DIGIT_SIZE_b - 1 - inDigitIdx));
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poly[digitIdx] = poly[digitIdx] ^ mask;
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}
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/* population count for an unsigned 64-bit integer
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Source: Hacker's delight, p.66 */
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static int popcount_uint64t(uint64_t x) {
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x -= (x >> 1) & 0x5555555555555555;
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x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
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x = (x + (x >> 4)) & 0x0f0f0f0f0f0f0f0f;
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return (int)((x * 0x0101010101010101) >> 56);
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}
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/* population count for a single polynomial */
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static inline int population_count(DIGIT *poly) {
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int ret = 0;
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for (int i = NUM_DIGITS_GF2X_ELEMENT - 1; i >= 0; i--) {
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ret += popcount_uint64t(poly[i]);
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}
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return ret;
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}
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static inline void gf2x_mod_add(DIGIT Res[], const DIGIT A[], const DIGIT B[]) {
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gf2x_add(Res, A, B, NUM_DIGITS_GF2X_ELEMENT);
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}
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static inline int partition(POSITION_T arr[], int lo, int hi) {
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POSITION_T x = arr[hi];
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POSITION_T tmp;
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int i = (lo - 1);
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for (int j = lo; j <= hi - 1; j++) {
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if (arr[j] <= x) {
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i++;
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tmp = arr[i];
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arr[i] = arr[j];
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arr[j] = tmp;
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}
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}
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tmp = arr[i + 1];
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arr[i + 1] = arr[hi];
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arr[hi] = tmp;
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return i + 1;
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}
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static inline void quicksort_sparse(POSITION_T Res[]) {
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int stack[DV * M];
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int hi, lo, pivot, tos = -1;
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stack[++tos] = 0;
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stack[++tos] = (DV * M) - 1;
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while (tos >= 0 ) {
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hi = stack[tos--];
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lo = stack[tos--];
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pivot = partition(Res, lo, hi);
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if ( (pivot - 1) > lo) {
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stack[++tos] = lo;
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stack[++tos] = pivot - 1;
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}
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if ( (pivot + 1) < hi) {
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stack[++tos] = pivot + 1;
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stack[++tos] = hi;
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}
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}
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}
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_mod_mul(DIGIT Res[], const DIGIT A[], const DIGIT B[]);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_transpose_in_place(DIGIT A[]);
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void PQCLEAN_LEDAKEMLT12_CLEAN_rand_circulant_sparse_block(POSITION_T *pos_ones, int countOnes, AES_XOF_struct *seed_expander_ctx);
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void PQCLEAN_LEDAKEMLT12_CLEAN_rand_circulant_blocks_sequence(DIGIT *sequence, AES_XOF_struct *seed_expander_ctx);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_mod_add_sparse(int sizeR, POSITION_T Res[], int sizeA, const POSITION_T A[], int sizeB, const POSITION_T B[]);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_transpose_in_place_sparse(int sizeA, POSITION_T A[]);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_mod_mul_sparse(size_t sizeR, POSITION_T Res[], size_t sizeA, const POSITION_T A[], size_t sizeB, const POSITION_T B[]);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_mod_mul_dense_to_sparse(DIGIT Res[], const DIGIT dense[], POSITION_T sparse[], unsigned int nPos);
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void PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_tobytes(uint8_t *bytes, const DIGIT *poly);
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int PQCLEAN_LEDAKEMLT12_CLEAN_gf2x_mod_inverse(DIGIT out[], const DIGIT in[]);
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#endif
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