#include "fq_nmod.h"
#include "fq_nmod_poly.h"
#include "n_poly.h"
#include "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 FLINT_UNUSED(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 FLINT_UNUSED(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;
ulong * 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), ulong);
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;
ulong * 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), ulong);
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)
{
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;
FLINT_ASSERT(A->bits == B->bits);
FLINT_ASSERT(!fq_nmod_poly_is_zero(c, 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);
Aexp[i] = Bexp[i];
}
A->length = Blen;
}
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)
{
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;
FLINT_ASSERT(A->bits == B->bits);
FLINT_ASSERT(!fq_nmod_poly_is_zero(c, 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);
Aexp[i] = Bexp[i];
}
A->length = Blen;
}
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;
ulong * 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 FLINT_UNUSED(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 FLINT_UNUSED(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;
}
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);
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];
}
}
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;
}