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#include "linbox/linbox-config.h"
#include "linbox/util/commentator.h"
#include "test-common.h"
#include <iostream>
#include <fstream>
#include <cstdio>
#include "linbox/matrix/matrix-domain.h"
#include "linbox/blackbox/toeplitz.h"
using namespace LinBox;
typedef NTL_zz_pX PolynomialRing;
typedef typename PolynomialRing::Element Polynomial;
typedef typename PolynomialRing::Coeff Coeff;
typedef typename PolynomialRing::CoeffField Field;
typedef typename Field::Element Element;
typedef typename Field::RandIter RandIter;
typedef BlasMatrixDomain<Field> MatrixDom;
typedef typename MatrixDom::OwnMatrix Matrix;
class Helper {
Field _F;
PolynomialRing _R;
RandIter _RI;
public:
Helper(const Field &F, const PolynomialRing &R) : _F(F), _R(R), _RI(F) {}
void printMatrix(Matrix &M) const {
for (size_t i = 0; i < M.rowdim(); i++) {
for (size_t j = 0; j < M.coldim(); j++) {
Element e;
M.getEntry(e, i, j);
_F.write(std::cout, e) << " ";
}
std::cout << std::endl;
}
std::cout << std::endl;
}
void randomPolynomial(Polynomial &f, size_t degree) const {
_R.assign(f, _R.zero);
for (size_t i = 0; i <= degree; i++) {
Coeff c;
_RI.random(c);
_R.setCoeff(f, i, c);
}
}
void randomVector(BlasVector<Field> &V) const {
for (size_t i = 0; i < V.size(); i++) {
Element e;
_RI.random(e);
V.setEntry(i, e);
}
}
void initToeplitzMatrix(Matrix &M, const Polynomial &f) const {
for (size_t i = 0; i < M.rowdim(); i++) {
for (size_t j = 0; j < M.coldim(); j++) {
Coeff c;
_R.getCoeff(c, f, M.coldim() + i - j - 1);
M.setEntry(i, j, c);
}
}
}
bool testApply(size_t rowdim, size_t coldim) const {
Polynomial f;
randomPolynomial(f, rowdim + coldim - 2);
Toeplitz<Field, PolynomialRing> T(_R, f, rowdim, coldim);
Matrix M(_F, rowdim, coldim);
initToeplitzMatrix(M, f);
BlasVector<Field> vIn(_F, coldim);
BlasVector<Field> vOut1(_F, rowdim), vOut2(_F, rowdim);
randomVector(vIn);
M.apply(vOut1, vIn);
T.apply(vOut2, vIn);
VectorDomain<Field> VD(_F);
if (!VD.areEqual(vOut1, vOut2)) {
return false;
}
return true;
}
bool testApplyTranspose(size_t rowdim, size_t coldim) const {
Polynomial f;
randomPolynomial(f, rowdim + coldim - 2);
Toeplitz<Field, PolynomialRing> T(_R, f, rowdim, coldim);
Matrix M(_F, rowdim, coldim);
initToeplitzMatrix(M, f);
BlasVector<Field> vIn(_F, rowdim);
BlasVector<Field> vOut1(_F, coldim), vOut2(_F, coldim);
randomVector(vIn);
M.applyTranspose(vOut1, vIn);
T.applyTranspose(vOut2, vIn);
VectorDomain<Field> VD(_F);
if (!VD.areEqual(vOut1, vOut2)) {
return false;
}
return true;
}
};
int main(int argc, char **argv) {
size_t rowdim = 3, coldim = 4;
uint64_t p = 10007;
static Argument args[] = {
{ 'n', "-n N", "Set row dimension of test matrices.", TYPE_INT, &rowdim },
{ 'm', "-m M", "Set column dimension of test matrices.", TYPE_INT, &coldim },
{ 'p', "-p P", "Set field cardinality.", TYPE_INT, &p },
END_OF_ARGUMENTS
};
parseArguments (argc, argv, args);
commentator().start("Toeplitz test suite", "toeplitz");
bool pass = true;
Field F(p);
PolynomialRing R(F);
Helper H(F, R);
pass = pass && H.testApply(rowdim, coldim);
pass = pass && H.testApplyTranspose(rowdim, coldim);
commentator().stop(MSG_STATUS (pass),"Toeplitz test suite");
return pass ? 0 : -1;
}
// Local Variables:
// mode: C++
// tab-width: 4
// indent-tabs-mode: nil
// c-basic-offset: 4
// End:
// vim:sts=4:sw=4:ts=4:et:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
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