DOC: improve inline comments in pb_inverse_poly_q()
These should also match the actual mathematical computations.
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12b8b08700
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777a086c53
11
src/poly.c
11
src/poly.c
@ -136,7 +136,7 @@ pb_poly *build_polynom(int const * const c,
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if (sign == true)
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mp_neg(&(new_poly->terms[i]), &(new_poly->terms[i]));
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}
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} else { /* fill with zeros */
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} else { /* fill with 0 */
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for (unsigned int i = 0; i < len; i++)
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MP_SET(&(new_poly->terms[i]), 0);
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}
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@ -311,7 +311,6 @@ static void pb_mod2_to_modq(pb_poly * const a,
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pb_tmp2 = build_polynom(NULL, ctx->N, ctx);
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MP_SET_INT(&(pb_tmp2->terms[0]), 2);
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/* mod after sub or before? */
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pb_starmultiply(a, Fq, pb_tmp, ctx, v);
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PB_SUB(pb_tmp2, pb_tmp, pb_tmp);
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PB_MOD(pb_tmp, &tmp_v, pb_tmp, ctx->N);
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@ -338,15 +337,19 @@ bool pb_inverse_poly_q(pb_poly * const a,
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j = 0;
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pb_poly *a_tmp, *b, *c, *f, *g;
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/* general initialization of temp variables */
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b = build_polynom(NULL, ctx->N + 1, ctx);
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MP_SET(&(b->terms[0]), 1);
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c = build_polynom(NULL, ctx->N + 1, ctx);
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f = build_polynom(NULL, ctx->N + 1, ctx);
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PB_COPY(a, f);
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/* set g(x) = x^N − 1 */
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g = build_polynom(NULL, ctx->N + 1, ctx);
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MP_SET(&(g->terms[0]), 1);
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mp_neg(&(g->terms[0]), &(g->terms[0]));
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MP_SET(&(g->terms[ctx->N]), 1);
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/* avoid side effects */
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a_tmp = build_polynom(NULL, ctx->N, ctx);
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PB_COPY(a, a_tmp);
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@ -355,7 +358,9 @@ bool pb_inverse_poly_q(pb_poly * const a,
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while (1) {
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while (mp_cmp_d(&(f->terms[0]), 0) == MP_EQ) {
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for (unsigned int i = 1; i <= ctx->N; i++) {
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/* f(x) = f(x) / x */
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MP_COPY(&(f->terms[i]), &(f->terms[i - 1]));
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/* c(x) = c(x) * x */
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MP_COPY(&(c->terms[ctx->N - i]), &(c->terms[ctx->N + 1 - i]));
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}
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MP_SET(&(f->terms[ctx->N]), 0);
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@ -378,6 +383,7 @@ bool pb_inverse_poly_q(pb_poly * const a,
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OUT_OF_LOOP:
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k = k % ctx->N;
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/* Fq(x) = x^(N-k) * b(x) */
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for (int i = ctx->N - 1; i >= 0; i--) {
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j = i - k;
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if (j < 0)
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@ -387,6 +393,7 @@ OUT_OF_LOOP:
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pb_mod2_to_modq(a_tmp, Fq, ctx);
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/* pull into positive space */
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for (int i = ctx->N - 1; i >= 0; i--)
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if (mp_cmp_d(&(Fq->terms[i]), 0) == MP_LT) {
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mp_int mp_tmp;
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