/* Copyright (C) 2018 Daniel Schultz This file is part of FLINT. FLINT is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License (LGPL) as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. See . */ #include "nmod_mpoly.h" #include "fq_nmod_mpoly.h" void fq_nmod_mpolyun_init( fq_nmod_mpolyun_t A, flint_bitcnt_t bits, const fq_nmod_mpoly_ctx_t ctx) { A->coeffs = NULL; A->exps = NULL; A->alloc = 0; A->length = 0; A->bits = bits; } void fq_nmod_mpolyun_clear( fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { slong i; for (i = 0; i < A->alloc; i++) fq_nmod_mpolyn_clear(A->coeffs + i, ctx); flint_free(A->coeffs); flint_free(A->exps); } int fq_nmod_mpolyun_is_canonical( const fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { slong i; if (A->length > A->alloc) { return 0; } for (i = 0; i < A->length; i++) { if (!fq_nmod_mpolyn_is_canonical(A->coeffs + i, ctx)) { return 0; } if (i > 0 && A->exps[i - 1] <= A->exps[i]) { return 0; } } return 1; } void fq_nmod_mpolyun_print_pretty( const fq_nmod_mpolyun_t poly, const char ** x, const fq_nmod_mpoly_ctx_t ctx) { slong i; if (poly->length == 0) flint_printf("0"); for (i = 0; i < poly->length; i++) { if (i != 0) flint_printf(" + "); flint_printf("("); fq_nmod_mpolyn_print_pretty(poly->coeffs + i,x,ctx); flint_printf(")*X^%wd",poly->exps[i]); } } void fq_nmod_mpolyun_swap( fq_nmod_mpolyun_t A, fq_nmod_mpolyun_t B) { fq_nmod_mpolyun_struct t = *A; *A = *B; *B = t; } void fq_nmod_mpolyun_zero( fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { A->length = 0; } void fq_nmod_mpolyun_fit_length( fq_nmod_mpolyun_t A, slong length, const fq_nmod_mpoly_ctx_t ctx) { slong i; slong old_alloc = A->alloc; slong new_alloc = FLINT_MAX(length, 2*A->alloc); if (length > old_alloc) { A->exps = (ulong *) flint_realloc(A->exps, new_alloc*sizeof(ulong)); A->coeffs = (fq_nmod_mpolyn_struct *) flint_realloc(A->coeffs, new_alloc*sizeof(fq_nmod_mpolyn_struct)); for (i = old_alloc; i < new_alloc; i++) fq_nmod_mpolyn_init(A->coeffs + i, A->bits, ctx); A->alloc = new_alloc; } } void fq_nmod_mpolyun_one( fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { fq_nmod_mpolyun_fit_length(A, 1, ctx); fq_nmod_mpolyn_one(A->coeffs + 0, ctx); A->exps[0] = 0; A->length = 1; } int fq_nmod_mpolyn_is_nonzero_fq_nmod( const fq_nmod_mpolyn_t A, const fq_nmod_mpoly_ctx_t ctx) { slong N; if (A->length != WORD(1)) return 0; if (n_fq_poly_degree(A->coeffs + 0) != 0) return 0; N = mpoly_words_per_exp(A->bits, ctx->minfo); return mpoly_monomial_is_zero(A->exps + N*0, N); } int fq_nmod_mpolyun_is_nonzero_fq_nmod( const fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { if (A->length != 1 || A->exps[0] != 0) return 0; return fq_nmod_mpolyn_is_nonzero_fq_nmod(A->coeffs + 0, ctx); } void fq_nmod_mpolyn_scalar_mul_fq_nmod( fq_nmod_mpolyn_t A, const fq_nmod_t c, const fq_nmod_mpoly_ctx_t ctx) { slong i; mp_limb_t * cc; FLINT_ASSERT(!fq_nmod_is_zero(c, ctx->fqctx)); if (fq_nmod_is_one(c, ctx->fqctx)) return; cc = FLINT_ARRAY_ALLOC(fq_nmod_ctx_degree(ctx->fqctx), mp_limb_t); n_fq_set_fq_nmod(cc, c, ctx->fqctx); for (i = 0; i < A->length; i++) { n_fq_poly_scalar_mul_n_fq(A->coeffs + i, A->coeffs + i, cc, ctx->fqctx); } flint_free(cc); } void fq_nmod_mpolyun_scalar_mul_fq_nmod( fq_nmod_mpolyun_t A, const fq_nmod_t c, const fq_nmod_mpoly_ctx_t ctx) { slong i, j; mp_limb_t * cc; FLINT_ASSERT(!fq_nmod_is_zero(c, ctx->fqctx)); if (fq_nmod_is_one(c, ctx->fqctx)) return; cc = FLINT_ARRAY_ALLOC(fq_nmod_ctx_degree(ctx->fqctx), mp_limb_t); n_fq_set_fq_nmod(cc, c, ctx->fqctx); for (i = 0; i < A->length; i++) { fq_nmod_mpolyn_struct * Ai = A->coeffs + i; for (j = 0; j < Ai->length; j++) { n_fq_poly_scalar_mul_n_fq(Ai->coeffs + j, Ai->coeffs + j, cc, ctx->fqctx); } } flint_free(cc); } void fq_nmod_mpolyun_shift_right( fq_nmod_mpolyun_t A, ulong s) { slong i; for (i = 0; i < A->length; i++) { FLINT_ASSERT(A->exps[i] >= s); A->exps[i] -= s; } } void fq_nmod_mpolyun_shift_left( fq_nmod_mpolyun_t A, ulong s) { slong i; for (i = 0; i < A->length; i++) { A->exps[i] += s; FLINT_ASSERT(A->exps[i] >= s); } } void fq_nmod_mpolyn_mul_poly( fq_nmod_mpolyn_t A, const fq_nmod_mpolyn_t B, const fq_nmod_poly_t c, const fq_nmod_mpoly_ctx_t ctx, fq_nmod_poly_t t /* temp */) { slong i; n_fq_poly_struct * Acoeff, * Bcoeff; ulong * Aexp, * Bexp; slong Blen = B->length; slong N; n_fq_poly_t cc, tt; FLINT_ASSERT(A->bits == B->bits); FLINT_ASSERT(A->bits <= FLINT_BITS); FLINT_ASSERT(!fq_nmod_poly_is_zero(c, ctx->fqctx)); n_fq_poly_init(cc); n_fq_poly_init(tt); n_fq_poly_set_fq_nmod_poly(cc, c, ctx->fqctx); if (A == B) { Acoeff = A->coeffs; for (i = 0; i < Blen; i++) { n_fq_poly_mul(tt, Acoeff + i, cc, ctx->fqctx); n_fq_poly_swap(tt, Acoeff + i); } } else { fq_nmod_mpolyn_fit_length(A, Blen, ctx); Acoeff = A->coeffs; Bcoeff = B->coeffs; Aexp = A->exps; Bexp = B->exps; N = mpoly_words_per_exp_sp(B->bits, ctx->minfo); for (i = 0; i < Blen; i++) { n_fq_poly_mul(Acoeff + i, Bcoeff + i, cc, ctx->fqctx); mpoly_monomial_set(Aexp + N*i, Bexp + N*i, N); } A->length = Blen; } n_fq_poly_clear(cc); n_fq_poly_clear(tt); } void fq_nmod_mpolyun_mul_poly( fq_nmod_mpolyun_t A, const fq_nmod_mpolyun_t B, const fq_nmod_poly_t c, const fq_nmod_mpoly_ctx_t ctx) { slong i, Blen; fq_nmod_mpolyn_struct * Acoeff, * Bcoeff; ulong * Aexp, * Bexp; fq_nmod_poly_t t; FLINT_ASSERT(A->bits == B->bits); FLINT_ASSERT(!fq_nmod_poly_is_zero(c, ctx->fqctx)); fq_nmod_poly_init(t, ctx->fqctx); Blen = B->length; fq_nmod_mpolyun_fit_length(A, Blen, ctx); Acoeff = A->coeffs; Bcoeff = B->coeffs; Aexp = A->exps; Bexp = B->exps; for (i = 0; i < Blen; i++) { fq_nmod_mpolyn_mul_poly(Acoeff + i, Bcoeff + i, c, ctx, t); Aexp[i] = Bexp[i]; } A->length = Blen; fq_nmod_poly_clear(t, ctx->fqctx); } void fq_nmod_mpolyn_divexact_poly( fq_nmod_mpolyn_t A, const fq_nmod_mpolyn_t B, const fq_nmod_poly_t c, const fq_nmod_mpoly_ctx_t ctx, fq_nmod_poly_t q, /* temp */ fq_nmod_poly_t r /* temp */) { slong i; n_fq_poly_struct * Acoeff, * Bcoeff; ulong * Aexp, * Bexp; slong Blen = B->length; slong N; n_fq_poly_t cc, qq, rr; FLINT_ASSERT(A->bits == B->bits); FLINT_ASSERT(A->bits <= FLINT_BITS); FLINT_ASSERT(!fq_nmod_poly_is_zero(c, ctx->fqctx)); n_fq_poly_init(cc); n_fq_poly_init(qq); n_fq_poly_init(rr); n_fq_poly_set_fq_nmod_poly(cc, c, ctx->fqctx); if (A == B) { Acoeff = A->coeffs; for (i = 0; i < Blen; i++) { n_fq_poly_divrem(qq, rr, Acoeff + i, cc, ctx->fqctx); FLINT_ASSERT(n_fq_poly_is_zero(rr)); n_fq_poly_swap(qq, Acoeff + i); } } else { fq_nmod_mpolyn_fit_length(A, Blen, ctx); Acoeff = A->coeffs; Bcoeff = B->coeffs; Aexp = A->exps; Bexp = B->exps; N = mpoly_words_per_exp_sp(B->bits, ctx->minfo); for (i = 0; i < Blen; i++) { n_fq_poly_divrem(Acoeff + i, rr, Bcoeff + i, cc, ctx->fqctx); FLINT_ASSERT(n_fq_poly_is_zero(rr)); mpoly_monomial_set(Aexp + N*i, Bexp + N*i, N); } A->length = Blen; } n_fq_poly_clear(cc); n_fq_poly_clear(qq); n_fq_poly_clear(rr); } void fq_nmod_mpolyun_divexact_poly( fq_nmod_mpolyun_t A, const fq_nmod_mpolyun_t B, const fq_nmod_poly_t c, const fq_nmod_mpoly_ctx_t ctx) { slong i, Blen; fq_nmod_mpolyn_struct * Acoeff, * Bcoeff; ulong * Aexp, * Bexp; fq_nmod_poly_t q, r; FLINT_ASSERT(A->bits == B->bits); FLINT_ASSERT(!fq_nmod_poly_is_zero(c, ctx->fqctx)); fq_nmod_poly_init(q, ctx->fqctx); fq_nmod_poly_init(r, ctx->fqctx); Blen = B->length; fq_nmod_mpolyun_fit_length(A, Blen, ctx); Acoeff = A->coeffs; Bcoeff = B->coeffs; Aexp = A->exps; Bexp = B->exps; for (i = 0; i < Blen; i++) { fq_nmod_mpolyn_divexact_poly(Acoeff + i, Bcoeff + i, c, ctx, q, r); Aexp[i] = Bexp[i]; } A->length = Blen; fq_nmod_poly_clear(q, ctx->fqctx); fq_nmod_poly_clear(r, ctx->fqctx); } void fq_nmod_mpolyn_content_poly( fq_nmod_poly_t g, fq_nmod_mpolyn_t B, const fq_nmod_mpoly_ctx_t ctx) { slong i; n_fq_poly_t gg, tt; n_fq_poly_init(gg); n_fq_poly_init(tt); for (i = 0; i < B->length; i++) { n_fq_poly_gcd(tt, gg, B->coeffs + i, ctx->fqctx); n_fq_poly_swap(tt, gg); if (n_fq_poly_degree(gg) == 0) break; } n_fq_poly_get_fq_nmod_poly(g, gg, ctx->fqctx); n_fq_poly_clear(gg); n_fq_poly_clear(tt); } void fq_nmod_mpolyun_content_poly( fq_nmod_poly_t g, fq_nmod_mpolyun_t B, const fq_nmod_mpoly_ctx_t ctx) { slong i, j; n_fq_poly_t gg, tt; n_fq_poly_init(gg); n_fq_poly_init(tt); for (i = 0; i < B->length; i++) { for (j = 0; j < B->coeffs[i].length; j++) { n_fq_poly_gcd(tt, gg, B->coeffs[i].coeffs + j, ctx->fqctx); n_fq_poly_swap(tt, gg); if (n_fq_poly_degree(gg) == 0) break; } } n_fq_poly_get_fq_nmod_poly(g, gg, ctx->fqctx); n_fq_poly_clear(gg); n_fq_poly_clear(tt); } void fq_nmod_mpoly_to_mpolyn_perm_deflate( fq_nmod_mpolyn_t A, const fq_nmod_mpoly_ctx_t nctx, const fq_nmod_mpoly_t B, const fq_nmod_mpoly_ctx_t ctx, const slong * perm, const ulong * shift, const ulong * stride) { slong d = fq_nmod_ctx_degree(ctx->fqctx); slong j, k, l; slong NA = mpoly_words_per_exp_sp(A->bits, nctx->minfo); slong NB = mpoly_words_per_exp_sp(B->bits, ctx->minfo); slong n = ctx->minfo->nvars; slong m = nctx->minfo->nvars; ulong * Bexps; slong * offs, * shifts; fq_nmod_mpoly_t T; TMP_INIT; FLINT_ASSERT(m <= n); TMP_START; Bexps = (ulong *) TMP_ALLOC(n*sizeof(ulong)); offs = (slong *) TMP_ALLOC(m*sizeof(slong)); shifts = (slong *) TMP_ALLOC(m*sizeof(slong)); for (k = 0; k < m; k++) { mpoly_gen_offset_shift_sp(offs + k, shifts + k, k, A->bits, nctx->minfo); } fq_nmod_mpoly_init3(T, B->length, A->bits, nctx); T->length = B->length; for (j = 0; j < B->length; j++) { mpoly_get_monomial_ui(Bexps, B->exps + NB*j, B->bits, ctx->minfo); _n_fq_set(T->coeffs + d*j, B->coeffs + d*j, d); mpoly_monomial_zero(T->exps + NA*j, NA); for (k = 0; k < m; k++) { l = perm[k]; (T->exps + NA*j)[offs[k]] += ((Bexps[l] - shift[l]) / stride[l]) << shifts[k]; } } fq_nmod_mpoly_sort_terms(T, nctx); fq_nmod_mpoly_cvtto_mpolyn(A, T, nctx->minfo->nvars - 1, nctx); fq_nmod_mpoly_clear(T, nctx); TMP_END; } void fq_nmod_mpoly_from_mpolyn_perm_inflate( fq_nmod_mpoly_t A, flint_bitcnt_t Abits, const fq_nmod_mpoly_ctx_t ctx, const fq_nmod_mpolyn_t B, const fq_nmod_mpoly_ctx_t nctx, const slong * perm, const ulong * shift, const ulong * stride) { slong d = fq_nmod_ctx_degree(ctx->fqctx); slong n = ctx->minfo->nvars; slong m = nctx->minfo->nvars; slong i, h, k, l; slong NA, NB; slong Alen; mp_limb_t * Acoeff; ulong * Aexp; ulong * Bexps; ulong * Aexps, * tAexp, * tAgexp; TMP_INIT; FLINT_ASSERT(B->length > 0); FLINT_ASSERT(Abits <= FLINT_BITS); FLINT_ASSERT(B->bits <= FLINT_BITS); FLINT_ASSERT(m <= n); TMP_START; Bexps = (ulong *) TMP_ALLOC(m*sizeof(ulong)); Aexps = (ulong *) TMP_ALLOC(n*sizeof(ulong)); NA = mpoly_words_per_exp(Abits, ctx->minfo); NB = mpoly_words_per_exp(B->bits, nctx->minfo); tAexp = (ulong *) TMP_ALLOC(NA*sizeof(ulong)); tAgexp = (ulong *) TMP_ALLOC(NA*sizeof(ulong)); mpoly_gen_monomial_sp(tAgexp, perm[m - 1], Abits, ctx->minfo); for (i = 0; i < NA; i++) tAgexp[i] *= stride[perm[m - 1]]; fq_nmod_mpoly_fit_length_reset_bits(A, B->length, Abits, ctx); Acoeff = A->coeffs; Aexp = A->exps; Alen = 0; for (i = 0; i < B->length; i++) { mpoly_get_monomial_ui(Bexps, B->exps + NB*i, B->bits, nctx->minfo); FLINT_ASSERT(Bexps[m - 1] == 0); for (l = 0; l < n; l++) { Aexps[l] = shift[l]; } for (k = 0; k < m; k++) { l = perm[k]; Aexps[l] += stride[l]*Bexps[k]; } mpoly_set_monomial_ui(tAexp, Aexps, Abits, ctx->minfo); h = (B->coeffs + i)->length; _fq_nmod_mpoly_fit_length(&Acoeff, &A->coeffs_alloc, d, &Aexp, &A->exps_alloc, NA, Alen + h); for (h--; h >= 0; h--) { if (_n_fq_is_zero(B->coeffs[i].coeffs + d*h, d)) continue; _n_fq_set(Acoeff + d*Alen, B->coeffs[i].coeffs + d*h, d); mpoly_monomial_madd(Aexp + NA*Alen, tAexp, h, tAgexp, NA); Alen++; } } A->coeffs = Acoeff; A->exps = Aexp; A->length = Alen; fq_nmod_mpoly_sort_terms(A, ctx); TMP_END; } slong fq_nmod_mpolyn_lastdeg( fq_nmod_mpolyn_t A, const fq_nmod_mpoly_ctx_t ctx) { slong i; slong deg = -WORD(1); for (i = 0; i < A->length; i++) deg = FLINT_MAX(deg, n_fq_poly_degree(A->coeffs + i)); return deg; } slong fq_nmod_mpolyun_lastdeg( fq_nmod_mpolyun_t A, const fq_nmod_mpoly_ctx_t ctx) { slong i, j; slong deg = -WORD(1); for (i = 0; i < A->length; i++) { fq_nmod_mpolyn_struct * Ai = A->coeffs + i; for (j = 0; j < Ai->length; j++) deg = FLINT_MAX(deg, n_fq_poly_degree(Ai->coeffs + j)); } return deg; } void fq_nmod_mpolyun_set( fq_nmod_mpolyun_t A, const fq_nmod_mpolyun_t B, const fq_nmod_mpoly_ctx_t ctx) { slong i, Blen; fq_nmod_mpolyn_struct * Acoeff, * Bcoeff; ulong * Aexp, * Bexp; Blen = B->length; fq_nmod_mpolyun_fit_length(A, Blen, ctx); Acoeff = A->coeffs; Bcoeff = B->coeffs; Aexp = A->exps; Bexp = B->exps; for (i = 0; i < Blen; i++) { fq_nmod_mpolyn_set(Acoeff + i, Bcoeff + i, ctx); FLINT_ASSERT((Acoeff + i)->bits == B->bits); Aexp[i] = Bexp[i]; } A->length = Blen; } /* take the last variable of B out */ void fq_nmod_mpoly_cvtto_mpolyn( fq_nmod_mpolyn_t A, const fq_nmod_mpoly_t B, slong var, const fq_nmod_mpoly_ctx_t ctx) { slong d = fq_nmod_ctx_degree(ctx->fqctx); slong i; slong k; ulong * oneexp; slong offset; slong shift; ulong mask; slong N; TMP_INIT; FLINT_ASSERT(B->bits <= FLINT_BITS); FLINT_ASSERT(ctx->minfo->ord == ORD_LEX); FLINT_ASSERT(A->bits == B->bits); TMP_START; N = mpoly_words_per_exp_sp(B->bits, ctx->minfo); oneexp = (ulong *) TMP_ALLOC(N*sizeof(ulong)); mask = (-UWORD(1)) >> (FLINT_BITS - B->bits); mpoly_gen_monomial_offset_shift_sp(oneexp, &offset, &shift, var, B->bits, ctx->minfo); /* fq_nmod_mpolyn_fit_bits(A, B->bits, ctx); A->bits = B->bits; */ k = 0; for (i = 0; i < B->length; i++) { ulong c = (B->exps[N*i + offset] >> shift) & mask; fq_nmod_mpolyn_fit_length(A, k + 1, ctx); mpoly_monomial_msub(A->exps + N*k, B->exps + N*i, c, oneexp, N); if (k > 0 && mpoly_monomial_equal(A->exps + N*k, A->exps + N*(k - 1), N)) { n_fq_poly_set_coeff_n_fq(A->coeffs + k - 1, c, B->coeffs + d*i, ctx->fqctx); } else { n_fq_poly_zero(A->coeffs + k); n_fq_poly_set_coeff_n_fq(A->coeffs + k, c, B->coeffs + d*i, ctx->fqctx); k++; } } A->length = k; TMP_END; } void fq_nmod_mpolyu_cvtto_mpolyun( fq_nmod_mpolyun_t A, const fq_nmod_mpolyu_t B, slong k, const fq_nmod_mpoly_ctx_t ctx) { slong i, Blen = B->length; fq_nmod_mpolyun_fit_length(A, Blen, ctx); A->length = Blen; for (i = 0; i < Blen; i++) { fq_nmod_mpoly_cvtto_mpolyn(A->coeffs + i, B->coeffs + i, k, ctx); A->exps[i] = B->exps[i]; } } /* put the last variable of B back into A */ void fq_nmod_mpoly_cvtfrom_mpolyn( fq_nmod_mpoly_t A, fq_nmod_mpolyn_t B, slong var, const fq_nmod_mpoly_ctx_t ctx) { slong d = fq_nmod_ctx_degree(ctx->fqctx); slong i, j, k; slong N = mpoly_words_per_exp_sp(B->bits, ctx->minfo); ulong * genexp; TMP_INIT; FLINT_ASSERT(B->bits <= FLINT_BITS); FLINT_ASSERT(ctx->minfo->ord == ORD_LEX); TMP_START; genexp = (ulong *) TMP_ALLOC(N*sizeof(ulong)); mpoly_gen_monomial_sp(genexp, var, B->bits, ctx->minfo); fq_nmod_mpoly_fit_length_reset_bits(A, B->length, B->bits, ctx); k = 0; for (i = 0; i < B->length; i++) { for (j = B->coeffs[i].length - 1; j >= 0; j--) { if (_n_fq_is_zero(B->coeffs[i].coeffs + d*j, d)) continue; _fq_nmod_mpoly_fit_length(&A->coeffs, &A->coeffs_alloc, d, &A->exps, &A->exps_alloc, N, k + 1); _n_fq_set(A->coeffs + d*k, B->coeffs[i].coeffs + d*j, d); mpoly_monomial_madd(A->exps + N*k, B->exps + N*i, j, genexp, N); k++; } } A->length = k; TMP_END; } void fq_nmod_mpolyu_cvtfrom_mpolyun( fq_nmod_mpolyu_t A, fq_nmod_mpolyun_t B, slong var, const fq_nmod_mpoly_ctx_t ctx) { slong i; fq_nmod_mpolyu_fit_length(A, B->length, ctx); for (i = 0; i < B->length; i++) { fq_nmod_mpoly_cvtfrom_mpolyn(A->coeffs + i, B->coeffs + i, var, ctx); A->exps[i] = B->exps[i]; } A->length = B->length; }