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#include <linbox/linbox-config.h>
#include <iostream>
#include <string>
#include <vector>
#include <list>
#include <linbox/util/timer.h>
#include <linbox/ring/modular.h>
#include <linbox/ring/pir-modular-int32.h>
#include <linbox/ring/givaro-poly.h>
#include <linbox/ring/givaro-poly-local.h>
#include <linbox/ring/givaro-poly-quotient.h>
#include <linbox/randiter/givaro-poly.h>
using namespace LinBox;
using namespace std;
typedef Givaro::Modular<double> Field;
typedef typename Field::Element Element;
typedef Givaro::Poly1Dom<Field,Givaro::Dense> PolyDom;
typedef GivaroPoly<Field> PolyRing;
typedef GivaroPolyQuotient<PolyDom> QuotRing;
typedef typename QuotRing::Element QElm;
typedef GivaroPolyLocal<PolyDom> LocalRing;
typedef typename LocalRing::Element LElm;
typedef GivaroPolyRandIter<PolyRing> PolyRandIter;
typedef typename PolyRing::Element PolyElement;
bool testMul(QuotRing QR, LocalRing LR, QElm qa, QElm qb, LElm la, LElm lb) {
QElm qc;
QR.mul(qc, qa, qb);
LElm lc;
LR.mul(lc, la, lb);
if (LR.areEqual(lc, qc)) {
return true;
}
QR.write(cout << "(", qa) << ") * (";
QR.write(cout, qb) << ") = ";
QR.write(cout, qc) << endl;
LR.write(cout << "(", la) << ") * (";
LR.write(cout, lb) << ") = ";
LR.write(cout, lc) << endl << endl;
LR.write2(cout, la) << endl;
LR.write2(cout, lb) << endl;
return false;
}
bool testAdd(QuotRing QR, LocalRing LR, QElm qa, QElm qb, LElm la, LElm lb) {
QElm qc;
QR.add(qc, qa, qb);
LElm lc;
LR.add(lc, la, lb);
if (LR.areEqual(lc, qc)) {
return true;
}
QR.write(cout << "(", qa) << ") + (";
QR.write(cout, qb) << ") = ";
QR.write(cout, qc) << endl;
LR.write(cout << "(", la) << ") + (";
LR.write(cout, lb) << ") = ";
LR.write(cout, lc) << endl << endl;
LR.write2(cout, la) << endl;
LR.write2(cout, lb) << endl;
return false;
}
bool testAxpy(
QuotRing QR, LocalRing LR,
QElm qa, QElm qb, QElm qc,
LElm la, LElm lb, LElm lc
) {
QElm qd;
QR.axpy(qd, qa, qb, qc);
LElm ld;
LR.axpy(ld, la, lb, lc);
if (LR.areEqual(ld, qd)) {
return true;
}
QR.write(cout << "(", qa) << ") * (";
QR.write(cout, qb) << ") + (";
QR.write(cout, qc) << ") = ";
QR.write(cout, qd) << endl;
LR.write(cout << "(", la) << ") * (";
LR.write(cout, lb) << ") + (";
LR.write(cout, lc) << ") = ";
LR.write(cout, ld) << endl;
LR.write2(cout, la) << endl;
LR.write2(cout, lb) << endl;
LR.write2(cout, lc) << endl;
return false;
}
int main(int argc, char* argv[]) {
size_t p = 3;
size_t e = 3;
Field F(p);
PolyRing R(F, "x");
PolyRandIter PRI(R, 0, 10);
PolyElement g, f;
R.init(g, {2, 1, 1});
R.write(cout << "irred: ", g) << endl;
R.pow(f, g, e);
R.write(cout << "quotient: ", f) << endl;
integer max;
R.convert(max, f);
QuotRing QR(R, f);
LocalRing LR(R, g, e);
QElm qa, qb, qc;
LElm la, lb, lc;
for (integer i = 1; i <= max; i++) {
QR.init(qa, i);
LR.init(la, i);
for (integer j = 1; j <= max; j++) {
cout << i << ", " << j << ":" << endl;
QR.init(qb, j);
LR.init(lb, j);
//if (!QR.isDivisor(qa, qb)) {
// continue;
//}
if (!testMul(QR, LR, qa, qb, la, lb)) {
return 0;
}
if (!testAdd(QR, LR, qa, qb, la, lb)) {
return 0;
}
for (integer k = 1; k <= max; k++) {
QR.init(qc, k);
LR.init(lc, k);
if (!testAxpy(QR, LR, qa, qb, qc, la, lb, lc)) {
return 0;
}
}
}
}
}
// 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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