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F_mpz_mpoly.c
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F_mpz_mpoly.c
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/*============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
===============================================================================*/
/*
F_mpz_mpoly.c: Multivariable polynomials over Z (FLINT 2.0 polynomials)
Copyright (C) 2008, 2009 William Hart
*/
#include <stdint.h>
#include <string.h>
#include <math.h>
#include "flint.h"
#include "F_mpz.h"
#include "mpn_extras.h"
#include "longlong_wrapper.h"
#include "longlong.h"
#include "memory-manager.h"
#include "long_extras.h"
#include "packed_vec.h"
#include "F_mpz_mpoly.h"
/*===============================================================================
Memory management
================================================================================*/
void F_mpz_mpoly_init(F_mpz_mpoly_t poly, ord_t ordering)
{
poly->coeffs = NULL;
poly->exps = NULL;
poly->packed = NULL;
poly->alloc = 0;
poly->length = 0;
poly->vars = 0;
poly->ordering = ordering;
poly->small = 1; // start with packed exponents
poly->packed_bits = 8; // of 8 bits each
}
void F_mpz_mpoly_init2(F_mpz_mpoly_t poly, const ulong alloc,
const ulong vars, ord_t ordering)
{
if (alloc) // allocate space for alloc small coeffs
{
poly->coeffs = (F_mpz *) flint_heap_alloc(alloc);
poly->packed = (ulong *) flint_heap_alloc(alloc);
F_mpn_clear(poly->coeffs, alloc);
F_mpn_clear(poly->packed, alloc);
}
else poly->coeffs = NULL;
/*if (vars)
{
poly->exps = (pv_s *) flint_heap_alloc_bytes(vars*sizeof(pv_s));
ulong i;
for (i = 0; i < vars; i++) pv_init(poly->exps + i, alloc, 0);
} else poly->exps = NULL;*/
poly->alloc = alloc;
poly->vars = vars;
poly->length = 0;
poly->ordering = ordering;
poly->small = 1; // start with packed exponents
poly->packed_bits = 8; // of 8 bits each
}
void F_mpz_mpoly_realloc(F_mpz_mpoly_t poly, const ulong alloc, const ulong vars)
{
if (!alloc || !vars) // alloc == 0, clear up
{
F_mpz_mpoly_clear(poly);
return;
}
if (poly->alloc != alloc)
{
if (poly->alloc) // realloc
{
_F_mpz_mpoly_truncate(poly, alloc);
poly->coeffs = (F_mpz *) flint_heap_realloc(poly->coeffs, alloc);
poly->packed = (ulong *) flint_heap_realloc(poly->packed, alloc);
if (alloc > poly->alloc)
{
F_mpn_clear(poly->coeffs + poly->alloc, alloc - poly->alloc);
F_mpn_clear(poly->packed + poly->alloc, alloc - poly->alloc);
}
} else // nothing allocated already so do it now
{
poly->coeffs = (F_mpz *) flint_heap_alloc(alloc);
poly->packed = (ulong *) flint_heap_alloc(alloc);
F_mpn_clear(poly->coeffs, alloc);
F_mpn_clear(poly->packed, alloc);
}
if (!poly->small)
ulong i;
for (i = 0; i < FLINT_MIN(vars, poly->vars); i++)
pv_realloc(poly->exps + i, alloc);
}
poly->alloc = alloc;
if (vars != poly->vars)
{
if (poly->vars) // realloc
{
if (vars < poly->vars)
ulong i;
for (i = vars; i < poly->vars; i++)
pv_clear(poly->exps + i);
poly->exps = (pv_s *) flint_heap_realloc(poly->exps, vars*sizeof(pv_s));
if (vars > poly->vars)
ulong i;
for (i = poly->vars; i < vars; i++)
pv_init(poly->exps + i, alloc, 0);
} else // nothing allocated already so do it now
{
poly->exps = (pv_s *) flint_heap_alloc_bytes(vars*sizeof(pv_s));
ulong i;
for (i = 0; i < vars; i++)
pv_init(poly->exps, alloc, 0);
}
}
poly->vars = vars;
}
void F_mpz_mpoly_fit_length(F_mpz_mpoly_t poly, const ulong length)
{
ulong alloc = length;
if (alloc <= poly->alloc) return;
// at least double number of allocated coeffs
if (alloc < 2*poly->alloc) alloc = 2*poly->alloc;
F_mpz_mpoly_realloc(poly, alloc, poly->vars);
}
void F_mpz_mpoly_clear(F_mpz_mpoly_t poly)
{
ulong i;
for (i = 0; i < poly->alloc; i++) // Clean up any mpz_t's
_F_mpz_demote(poly->coeffs + i);
if (poly->coeffs) flint_heap_free(poly->coeffs); // clean up coeffs
if (poly->coeffs) flint_heap_free(poly->packed); // and packed
if (!poly->small)
{
ulong i;
for (i = 0; i < poly->vars; i++) // and vars
pv_clear(poly->exps + i);
if (poly->vars) flint_heap_free(poly->exps);
}
}
/*===============================================================================
Set/get
================================================================================*/
void F_mpz_mpoly_set_coeff_ui(F_mpz_mpoly_t poly, const ulong n, const ulong x)
{
F_mpz_mpoly_fit_length(poly, n+1);
if (n + 1 > poly->length) // insert zeroes between end of poly and new coeff if needed
{
long i;
for (i = poly->length; i + 1 < n; i++)
F_mpz_zero(poly->coeffs + i);
poly->length = n+1;
}
F_mpz_set_ui(poly->coeffs + n, x);
}
ulong F_mpz_mpoly_get_coeff_ui(const F_mpz_mpoly_t poly, const ulong n)
{
if (n + 1 > poly->length) // coefficient is beyond end of polynomial
return 0;
return F_mpz_get_ui(poly->coeffs + n);
}
void F_mpz_mpoly_set_var_exp_packed_grlex(F_mpz_mpoly_t poly, const ulong n, const ulong var,
const ulong exp)
{
int bits = poly->packed_bits;
ulong shift = FLINT_BITS - bits*(var + 2); // first spot is for total degree, second spot is variable we are touching
ulong mask = ~(((1L << bits) - 1L) << shift);
poly->packed[n] &= mask; // clear the relevant bits
poly->packed[n] += ((exp << (FLINT_BITS - bits)) + (exp << shift)); // update total degree and relevant exponent
}
void F_mpz_mpoly_set_var_exp(F_mpz_mpoly_t poly, const ulong n, const ulong var,
const ulong exp)
{
F_mpz_mpoly_fit_length(poly, n+1);
F_mpz_mpoly_fit_vars(poly, var+1);
if ((poly->small) && (FLINT_BIT_COUNT(exp) <= poly->packed_bits)) // monomials can be packed
{
switch (poly->ordering)
{
case GRLEX:
F_mpz_mpoly_set_var_exp_packed_grlex(poly, n, var, exp);
break;
default:
abort(); // not implemented
}
} else if (poly->small)
{
abort(); // changing packed_bits or converting to big poly not yet implemented
} else // poly is not small (exponents aren't packed)
{
int bits = pv_bit_fit(FLINT_BIT_COUNT(exp));
pv_s * expt = poly->exps + var;
if (bits > expt->bits) pv_set_bits(expt, bits);
PV_SET_ENTRY(*expt, n, exp);
}
}
ulong F_mpz_mpoly_get_var_exp_packed_grlex(F_mpz_mpoly_t poly, const ulong n, const ulong var)
{
int bits = poly->packed_bits;
ulong shift = FLINT_BITS - bits*(var + 2); // first spot is for total degree, second spot is variable we are touching
return ((poly->packed[n] >> shift) & ((1L << bits) - 1L));
}
ulong F_mpz_mpoly_get_var_exp(F_mpz_mpoly_t poly, const ulong n, const ulong var)
{
if (poly->small)
{
switch (poly->ordering)
{
case GRLEX:
return F_mpz_mpoly_get_var_exp_packed_grlex(poly, n, var);
break;
default:
abort(); // not implemented yet
}
} else
{
if (var > poly->vars) return 0;
if (poly->exps[var].bits == 0) return 0;
if (n > poly->length) return 0;
ulong val;
pv_s * expt = poly->exps + var;
PV_GET_ENTRY(val, *expt, n);
return val;
}
}
/*===============================================================================
Print/read
================================================================================*/
void F_mpz_mpoly_print_pretty(F_mpz_mpoly_t poly, char ** var_syms)
{
if (poly->small)
{
if (poly->length == 0)
{
printf("0");
return;
}
ulong bits = poly->packed_bits;
ulong mask = ((1L << bits) - 1L);
switch (poly->ordering)
{
case GRLEX:
long i;
for (i = poly->length - 1; i >= 0; i--)
{
if ((i != poly->length - 1) && (F_mpz_sgn(poly->coeffs + i) > 0))
printf("+");
ulong exp = ((poly->packed[i] >> (FLINT_BITS - bits)) & mask);
if ((poly->coeffs[i] == 1L) || (poly->coeffs[i] == -1L))
{
if (!exp) F_mpz_print(poly->coeffs + i);
} else
{
F_mpz_print(poly->coeffs + i);
if (exp) printf("*");
}
int first = 1;
ulong j;
for (j = 0; j < poly->vars; j++)
{
exp = ((poly->packed[i] >> (FLINT_BITS - (j+2)*bits)) & mask);
if (exp)
{
if (!first) printf("*");
first = 0;
if (exp == 1) printf("%s", var_syms[j]);
else printf("%s^%ld", var_syms[j], exp);
}
}
}
break;
default: abort(); // not implemented yet
}
} else
{
abort(); // printing not implemented for large polys
}
}
/*===============================================================================
Arithmetic
================================================================================*/
void _F_mpz_mpoly_add_inplace(F_mpz_mpoly_t res, ulong n, F_mpz_mpoly_t poly)
{
if ((poly->small) && (res->small))
{
ulong len = res->length - n;
F_mpz * temp_c;
ulong * temp_e;
ulong z = len;
if (len < 2100) z = 2100;
if (len < 300) z = 300;
if (len < 50) z = 50;
if (z == 50)
{
temp_c = (F_mpz *) flint_stack_alloc_small(2*z);
temp_e = (F_mpz *) temp_c + z;
} else
{
temp_c = (F_mpz *) flint_stack_alloc(2*z);
temp_e = (F_mpz *) temp_c + z;
}
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly_c = poly->coeffs;
ulong * poly_e = poly->packed;
ulong r_length = res->length;
ulong p_length = poly->length;
ulong extras = 0; // index of next temporary spot for a coefficient we have to pull out of res
ulong start = 0; // first coefficient we haven't placed back in res
ulong poly_i = 0; // index into poly
ulong res_i = n; // index into res
for ( ; poly_i < p_length; res_i++)
{
//printf("res_i = %ld, poly_i = %ld, start = %ld, extras = %ld\n", res_i, poly_i, start, extras);
if (extras != start) // we have coefficients to place
{
if (res_i < r_length) // check we actually have something to save
{
temp_c[extras] = res_c[res_i]; // we save the existing coefficient
res_c[res_i] = 0L;
temp_e[extras] = res_e[res_i];
extras++;
}
if (temp_e[start] < poly_e[poly_i]) // temp coeff goes in next
{
res_c[res_i] = temp_c[start];
res_e[res_i] = temp_e[start];
start++;
} else if (temp_e[start] == poly_e[poly_i]) // add coefficients
{
F_mpz_add(res_c + res_i, temp_c + start, poly_c + poly_i);
_F_mpz_demote(poly_c + poly_i);
_F_mpz_demote(temp_c + start);
res_e[res_i] = temp_e[start];
poly_i++;
start++;
if (res_c[res_i] == 0) // addition cancelled
{
if (start + 1 != extras) // we have more spare, so we can fix this
{
extras--; // we will remove the last spare and place it back in the poly
res_c[res_i] = temp_c[extras];
res_e[res_i] = temp_e[start];
} else if (res_i + 1 < r_length) // we need to shift subsequent coeffs back one
{
F_mpn_copy_forward(res_c + res_i, res_c + res_i + 1, r_length - res_i - 1);
res_c[r_length - 1] = 0L;
F_mpn_copy_forward(res_e + res_i, res_e + res_i + 1, r_length - res_i - 1);
res_e[r_length - 1] = 0L;
r_length--;
}
// else we have no more coefficients from res to worry about
res_i--; // we need to revisit this coefficient
}
} else // poly coeff goes in next
{
res_c[res_i] = poly_c[poly_i];
poly_c[poly_i] = 0;
//F_mpz_set(res_c + res_i, poly_c + poly_i);
res_e[res_i] = poly_e[poly_i];
poly_i++;
}
} else // it's either the poly coefficient or the existing one (if there is one)
{
//printf("%ld, %ld\n", poly_e[poly_i], res_e[res_i]);
if (res_i >= r_length) // we've run out of coeffs in res
{
res_c[res_i] = poly_c[poly_i]; // copy poly coeff over
poly_c[poly_i] = 0;
//F_mpz_set(res_c + res_i, poly_c + poly_i);
res_e[res_i] = poly_e[poly_i];
poly_i++;
} else if (poly_e[poly_i] < res_e[res_i]) // poly coeff goes in next
{
//printf("res_i = %ld, r_length = %ld\n", res_i, r_length);
if (res_i < r_length) // check we have something to save
{
temp_c[extras] = res_c[res_i]; // save the existing coefficient
res_c[res_i] = 0L;
temp_e[extras] = res_e[res_i];
extras++;
}
res_c[res_i] = poly_c[poly_i];
poly_c[poly_i] = 0;
//F_mpz_set(res_c + res_i, poly_c + poly_i);
res_e[res_i] = poly_e[poly_i];
poly_i++;
} else if (poly_e[poly_i] == res_e[res_i]) // add coefficients
{
F_mpz_add(res_c + res_i, res_c + res_i, poly_c + poly_i);
_F_mpz_demote(poly_c + poly_i);
poly_i++;
if (res_c[res_i] == 0L) // addition cancelled
{
if (res_i + 1 < r_length) // we need to shift subsequent coeffs back one
{
F_mpn_copy_forward(res_c + res_i, res_c + res_i + 1, r_length - res_i - 1);
res_c[r_length - 1] = 0L;
F_mpn_copy_forward(res_e + res_i, res_e + res_i + 1, r_length - res_i - 1);
res_e[r_length - 1] = 0L;
r_length--;
}
res_i--; // we need to revisit this coefficient
}
}
}
}
for ( ; extras != start; res_i++) // place remaining extras
{
if (res_i < r_length) // check we actually have something to save
{
temp_c[extras] = res_c[res_i]; // we save the existing coefficient
res_c[res_i] = 0;
temp_e[extras] = res_e[res_i];
extras++;
}
res_c[res_i] = temp_c[start];
res_e[res_i] = temp_e[start];
start++;
}
if (z == 50)
{
flint_stack_release_small(); // temp_e
} else
{
flint_stack_release(); // temp_e
}
//flint_stack_release(); // temp_c
res->length = FLINT_MAX(res_i, r_length); // All coeffs of poly may have added to res
} else
{
abort(); // merge not implemented for large polynomials
}
}
void F_mpz_mpoly_add_inplace(F_mpz_mpoly_t res, ulong n, F_mpz_mpoly_t poly)
{
if (poly->length == 0) return; // nothing to merge
F_mpz_mpoly_fit_length(res, res->length + poly->length);
_F_mpz_mpoly_add_inplace(res, n, poly);
}
void _F_mpz_mpoly_mul_small_1(ulong * res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
ulong c1 = poly1->coeffs[n1];
ulong c2 = poly2->coeffs[n2];
umul_ppmm(res[1], res[0], c1, c2);
res[2] = 0L;
}
void _F_mpz_mpoly_addmul_small_1(ulong * res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
ulong arr[2];
ulong cry;
ulong c1 = poly1->coeffs[n1];
ulong c2 = poly2->coeffs[n2];
umul_ppmm(arr[1], arr[0], c1, c2);
add_ssaaaa(cry, res[0], 0, res[0], 0, arr[0]);
add_ssaaaa(res[2], res[1], res[2], res[1], 0, cry);
add_ssaaaa(res[2], res[1], res[2], res[1], 0, arr[1]);
}
void _F_mpz_mpoly_mul_small_1x1(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res->length = 1;
}
void _F_mpz_mpoly_mul_small_2x1(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res->length = 2;
}
void _F_mpz_mpoly_mul_small_2x2(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
ulong p01 = poly1_e[0] + poly2_e[1];
ulong p10 = poly1_e[1] + poly2_e[0];
if (p01 < p10)
{
res_e[1] = p01;
res_e[2] = p10;
res_e[3] = poly1_e[1] + poly2_e[1];
F_mpz_mul2(res_c + 1, poly1_c, poly2_c + 1);
F_mpz_mul2(res_c + 2, poly1_c + 1, poly2_c);
F_mpz_mul2(res_c + 3, poly1_c + 1, poly2_c + 1);
res->length = 4;
} else if (p01 > p10)
{
res_e[1] = p10;
res_e[2] = p01;
res_e[3] = poly1_e[1] + poly2_e[1];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
F_mpz_mul2(res_c + 2, poly1_c, poly2_c + 1);
F_mpz_mul2(res_c + 3, poly1_c + 1, poly2_c + 1);
res->length = 4;
} else
{
res_e[1] = p10;
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
F_mpz_addmul(res_c + 1, poly1_c, poly2_c + 1);
if (res_c[1] == 0) // cancellation of middle terms occurred
{
res_e[1] = poly1_e[1] + poly2_e[1];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c + 1);
res->length = 2;
} else
{
res_e[2] = poly1_e[1] + poly2_e[1];
F_mpz_mul2(res_c + 2, poly1_c + 1, poly2_c + 1);
res->length = 3;
}
}
}
void _F_mpz_mpoly_mul_small_3x1(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res_e[2] = poly1_e[2] + poly2_e[0];
F_mpz_mul2(res_c + 2, poly1_c + 2, poly2_c);
res->length = 3;
}
void _F_mpz_mpoly_mul_small_3x2(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
_F_mpz_mpoly_mul_small_3x1(res, poly1, n1, poly2, n2);
F_mpz_mpoly_t temp;
temp->packed = (ulong *) flint_stack_alloc(3);
//F_mpn_clear(temp->packed, 3);
temp->coeffs = (F_mpz *) flint_stack_alloc(3);
F_mpn_clear(temp->coeffs, 3);
temp->small = 1;
_F_mpz_mpoly_mul_small_3x1(temp, poly1, n1, poly2, n2 + 1);
_F_mpz_mpoly_add_inplace(res, 1, temp);
//ulong i;
for (i = 0; i < temp->length; i++)
// _F_mpz_demote(temp->coeffs + i);
flint_stack_release(); // coeffs
flint_stack_release(); // packed
}
void _F_mpz_mpoly_mul_small_3x3(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res_e[2] = poly1_e[2] + poly2_e[0];
F_mpz_mul2(res_c + 2, poly1_c + 2, poly2_c);
res_e[3] = poly1_e[2] + poly2_e[1];
F_mpz_mul2(res_c + 3, poly1_c + 2, poly2_c + 1);
res_e[4] = poly1_e[2] + poly2_e[2];
F_mpz_mul2(res_c + 4, poly1_c + 2, poly2_c + 2);
res->length = 5;
ulong temp1[4];
ulong temp2[4];
F_mpz_mpoly_t temp;
temp->packed = temp1;//(ulong *) flint_stack_alloc_small(4);
//F_mpn_clear(temp->packed, 4);
temp->coeffs = temp2;//(F_mpz *) flint_stack_alloc_small(4);
F_mpn_clear(temp->coeffs, 4);
temp->small = 1;
_F_mpz_mpoly_mul_small_2x2(temp, poly1, n1, poly2, n2 + 1);
_F_mpz_mpoly_add_inplace(res, 1, temp);
//ulong i;
for (i = 0; i < temp->length; i++)
// _F_mpz_demote(temp->coeffs + i);
//flint_stack_release_small(); // coeffs
//flint_stack_release_small(); // packed
}
void _F_mpz_mpoly_mul_small_4x1(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res_e[2] = poly1_e[2] + poly2_e[0];
F_mpz_mul2(res_c + 2, poly1_c + 2, poly2_c);
res_e[3] = poly1_e[3] + poly2_e[0];
F_mpz_mul2(res_c + 3, poly1_c + 3, poly2_c);
res->length = 4;
}
void _F_mpz_mpoly_mul_small_4x2(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
_F_mpz_mpoly_mul_small_4x1(res, poly1, n1, poly2, n2);
F_mpz_mpoly_t temp;
temp->packed = (ulong *) flint_stack_alloc(4);
//F_mpn_clear(temp->packed, 4);
temp->coeffs = (F_mpz *) flint_stack_alloc(4);
F_mpn_clear(temp->coeffs, 4);
temp->small = 1;
_F_mpz_mpoly_mul_small_4x1(temp, poly1, n1, poly2, n2 + 1);
_F_mpz_mpoly_add_inplace(res, 1, temp);
//ulong i;
for (i = 0; i < temp->length; i++)
// _F_mpz_demote(temp->coeffs + i);
flint_stack_release(); // coeffs
flint_stack_release(); // packed
}
void _F_mpz_mpoly_mul_small_4x3(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res_e[2] = poly1_e[2] + poly2_e[0];
F_mpz_mul2(res_c + 2, poly1_c + 2, poly2_c);
res_e[3] = poly1_e[3] + poly2_e[0];
F_mpz_mul2(res_c + 3, poly1_c + 3, poly2_c);
res_e[4] = poly1_e[3] + poly2_e[1];
F_mpz_mul2(res_c + 4, poly1_c + 3, poly2_c + 1);
res_e[5] = poly1_e[3] + poly2_e[2];
F_mpz_mul2(res_c + 5, poly1_c + 3, poly2_c + 2);
res->length = 6;
F_mpz_mpoly_t temp;
temp->packed = (ulong *) flint_stack_alloc(6);
//F_mpn_clear(temp->packed, 6);
temp->coeffs = (F_mpz *) flint_stack_alloc(6);
temp->small = 1;
F_mpn_clear(temp->coeffs, 6);
_F_mpz_mpoly_mul_small_3x2(temp, poly1, n1, poly2, n2 + 1);
/*char * syms[4];
syms[0] = "t";
syms[1] = "x";
syms[2] = "y";
syms[3] = "z";
temp->packed_bits = 8;
temp->vars = 4;
temp->ordering = GRLEX;
temp->small = 1;
printf("********-->length temp = %ld\n", temp->length);
F_mpz_mpoly_print_pretty(temp, syms);printf("\n");
ulong s;
for (s = 0; s < res->length; s++)
{
F_mpz_print(res_c + s);printf("\n");
}
printf("\n");*/
_F_mpz_mpoly_add_inplace(res, 1, temp);
//ulong i;
for (i = 0; i < temp->length; i++)
// _F_mpz_demote(temp->coeffs + i);
flint_stack_release(); // coeffs
flint_stack_release(); // packed
}
void _F_mpz_mpoly_mul_small_4x4(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
F_mpz * res_c = res->coeffs;
ulong * res_e = res->packed;
F_mpz * poly1_c = poly1->coeffs + n1;
ulong * poly1_e = poly1->packed + n1;
F_mpz * poly2_c = poly2->coeffs + n2;
ulong * poly2_e = poly2->packed + n2;
res_e[0] = poly1_e[0] + poly2_e[0];
F_mpz_mul2(res_c, poly1_c, poly2_c);
res_e[1] = poly1_e[1] + poly2_e[0];
F_mpz_mul2(res_c + 1, poly1_c + 1, poly2_c);
res_e[2] = poly1_e[2] + poly2_e[0];
F_mpz_mul2(res_c + 2, poly1_c + 2, poly2_c);
res_e[3] = poly1_e[3] + poly2_e[0];
F_mpz_mul2(res_c + 3, poly1_c + 3, poly2_c);
res_e[4] = poly1_e[3] + poly2_e[1];
F_mpz_mul2(res_c + 4, poly1_c + 3, poly2_c + 1);
res_e[5] = poly1_e[3] + poly2_e[2];
F_mpz_mul2(res_c + 5, poly1_c + 3, poly2_c + 2);
res_e[6] = poly1_e[3] + poly2_e[3];
F_mpz_mul2(res_c + 6, poly1_c + 3, poly2_c + 3);
res->length = 7;
ulong temp1[9];
ulong temp2[9];
F_mpz_mpoly_t temp;
temp->packed = temp1;//(ulong *) flint_stack_alloc_small(9);
//F_mpn_clear(temp->packed, 9);
temp->coeffs = temp2;//(F_mpz *) flint_stack_alloc_small(9);
F_mpn_clear(temp->coeffs, 9);
temp->small = 1;
_F_mpz_mpoly_mul_small_3x3(temp, poly1, n1, poly2, n2 + 1);
_F_mpz_mpoly_add_inplace(res, 1, temp);
//ulong i;
for (i = 0; i < temp->length; i++)
// _F_mpz_demote(temp->coeffs + i);
//flint_stack_release_small(); // coeffs
//flint_stack_release_small(); // packed
}
void _F_mpz_mpoly_mul_small_mxn(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2)
{
if (poly2->length - n2 == 1)
{
switch (poly1->length - n1)
{
case 1: _F_mpz_mpoly_mul_small_1x1(res, poly1, n1, poly2, n2); break;
case 2: _F_mpz_mpoly_mul_small_2x1(res, poly1, n1, poly2, n2); break;
case 3: _F_mpz_mpoly_mul_small_3x1(res, poly1, n1, poly2, n2); break;
case 4: _F_mpz_mpoly_mul_small_4x1(res, poly1, n1, poly2, n2); break;
}
} else if (poly1->length - n1 == 1)
{
switch (poly2->length - n2)
{
case 2: _F_mpz_mpoly_mul_small_2x1(res, poly2, n2, poly1, n1); break;
case 3: _F_mpz_mpoly_mul_small_3x1(res, poly2, n2, poly1, n1); break;
case 4: _F_mpz_mpoly_mul_small_4x1(res, poly2, n2, poly1, n1); break;
}
} else if (poly2->length - n2 == 2)
{
switch (poly1->length - n1)
{
case 2: _F_mpz_mpoly_mul_small_2x2(res, poly1, n1, poly2, n2); break;
case 3: _F_mpz_mpoly_mul_small_3x2(res, poly1, n1, poly2, n2); break;
case 4: _F_mpz_mpoly_mul_small_4x2(res, poly1, n1, poly2, n2); break;
}
} else if (poly1->length - n1 == 2)
{
switch (poly2->length - n2)
{
case 3: _F_mpz_mpoly_mul_small_3x2(res, poly2, n2, poly1, n1); break;
case 4: _F_mpz_mpoly_mul_small_4x2(res, poly2, n2, poly1, n1); break;
}
} else if (poly2->length - n2 == 3)
{
switch (poly1->length - n1)
{
case 3: _F_mpz_mpoly_mul_small_3x3(res, poly1, n1, poly2, n2); break;
case 4: _F_mpz_mpoly_mul_small_4x3(res, poly1, n1, poly2, n2); break;
}
} else if (poly1->length - n1 == 3)
{
_F_mpz_mpoly_mul_small_4x3(res, poly2, n2, poly1, n1);
} else _F_mpz_mpoly_mul_small_4x4(res, poly1, n1, poly2, n2);
}
void _F_mpz_mpoly_mul_small_mxn_2(F_mpz_mpoly_t res, F_mpz_mpoly_t poly1,
ulong n1, F_mpz_mpoly_t poly2, ulong n2, ulong m, ulong n)
{
if (n == 1)
{
switch (m)
{
case 1: _F_mpz_mpoly_mul_small_1x1(res, poly1, n1, poly2, n2); break;
case 2: _F_mpz_mpoly_mul_small_2x1(res, poly1, n1, poly2, n2); break;
case 3: _F_mpz_mpoly_mul_small_3x1(res, poly1, n1, poly2, n2); break;
case 4: _F_mpz_mpoly_mul_small_4x1(res, poly1, n1, poly2, n2); break;
}
} else if (m == 1)
{
switch (n)
{
case 2: _F_mpz_mpoly_mul_small_2x1(res, poly2, n2, poly1, n1); break;
case 3: _F_mpz_mpoly_mul_small_3x1(res, poly2, n2, poly1, n1); break;
case 4: _F_mpz_mpoly_mul_small_4x1(res, poly2, n2, poly1, n1); break;
}
} else if (n == 2)
{
switch (m)
{
case 2: _F_mpz_mpoly_mul_small_2x2(res, poly1, n1, poly2, n2); break;
case 3: _F_mpz_mpoly_mul_small_3x2(res, poly1, n1, poly2, n2); break;
case 4: _F_mpz_mpoly_mul_small_4x2(res, poly1, n1, poly2, n2); break;