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/* ExponentialEhrhart.cpp -- Computing Ehrhart polynomials
using the exponential substitution
Copyright 2006 Matthias Koeppe
This file is part of LattE.
LattE is free software; you can redistribute it and/or modify it
under the terms of the version 2 of the GNU General Public License
as published by the Free Software Foundation.
LattE 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 LattE; if not, write to the Free Software Foundation,
Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
*/
#include <cassert>
#include "ExponentialSubst.h"
#include "ExponentialEhrhart.h"
void
Exponential_Ehrhart_Parameters::InitializeComputation()
{
Generic_Vector_Single_Cone_Parameters::InitializeComputation();
int i;
for (i = 0; i<=Number_of_Variables; i++)
ehrhart_coefficients[i] = 0;
}
int
Exponential_Ehrhart_Parameters::ConsumeCone(listCone *cone)
{
assert(cone->rest == NULL);
int status = 1;
try {
int numOfVars = Number_of_Variables;
mpq_vector weights
= computeExponentialResidueWeights(generic_vector, cone, numOfVars);
mpz_vector sums_of_scalar_powers
= compute_sums_of_scalar_powers_mpz(cone, numOfVars, generic_vector, this);
ZZ ehrhart_vertex_scalar_zz;
InnerProduct(ehrhart_vertex_scalar_zz, generic_vector,
cone->vertex->ehrhart_vertex);
mpz_class ehrhart_vertex_scalar
= convert_ZZ_to_mpz(ehrhart_vertex_scalar_zz);
mpz_class ehrhart_vertex_scalar_power = 1;
int n;
for (n = 0; n<=numOfVars; n++) {
int l;
mpq_class x;
for (l = n; l<=numOfVars; l++) {
mpz_class binomial;
mpz_bin_uiui(binomial.get_mpz_t(), l, n);
x += binomial * weights[l] * sums_of_scalar_powers[l-n];
}
ehrhart_coefficients[n] += cone->coefficient * ehrhart_vertex_scalar_power * x;
ehrhart_vertex_scalar_power *= ehrhart_vertex_scalar;
}
} catch (NotGenericException) {
status = -1;
}
freeListCone(cone);
return status;
}
mpq_vector
decomposeAndComputeEhrhartPolynomial(listCone *cones,
Exponential_Ehrhart_Parameters ¶m)
{
barvinokDecomposition_List(cones, param);
return param.ehrhart_coefficients;
}
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