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#include "config.h"
#include "fenv.h"
#include "SparseMatrix.h"
using namespace std;
using namespace psurface;
template<typename ctype>
void check_result(const Vector<ctype>& result,
const Vector<ctype>& trueResult,
const ctype& tolerance, char const * const message) {
const size_t n = trueResult.size();
Vector<ctype> res(n);
if ((result - trueResult).length() > tolerance)
throw runtime_error(message);
}
template<typename ctype>
void check_result_by_mult(const SparseMatrix<ctype>& matrix,
const Vector<ctype>& result,
const Vector<ctype>& b,
const ctype& tolerance, char const * const message) {
if ((matrix.multVec(result) - b).length() > tolerance)
throw runtime_error(message);
}
template<typename ctype>
void test(const ctype tolerance, const int n, const int maxIter) {
//// setup for n-dimensional tests
// id matrix test
Vector<ctype> residue(n);
Vector<ctype> result(n);
// setup first rhs
Vector<ctype> b(n);
for (size_t i = 0; i < n; ++i)
b[i] = StaticVector<ctype, 2>(i+1, i+1+n);
SparseMatrix<ctype> id(n);
for (size_t i = 0; i < n; ++i)
id.setEntry(i, i, 1);
id.BiCGSTAB(b, result, residue, maxIter, tolerance);
check_result<ctype>(result, b, tolerance, "id matrix check 1 failed");
// setup another rhs
for (size_t i = 0; i < n; ++i)
b[i] = StaticVector<ctype, 2>(0, 0);
id.BiCGSTAB(b, result, residue, maxIter, tolerance);
check_result<ctype>(result, b, tolerance, "id matrix check 2 failed");
// ladder matrix test
SparseMatrix<ctype> ladder(n);
for (size_t i = 0; i < n; ++i)
ladder.setEntry(i, i, i+1);
for (size_t i = 0; i < n; ++i)
b[i] = StaticVector<ctype, 2>(i+1, (i+1)*2);
// obtain solutions
ladder.BiCGSTAB(b, result, residue, maxIter, tolerance);
Vector<ctype> trueLadder(n);
for (size_t i = 0; i < n; ++i)
trueLadder[i] = StaticVector<ctype, 2>(1, 2);
// check results
check_result<ctype>(result, b, tolerance, "ladder matrix check failed");
///////////////////////////////////////////////////////////////////////
//// setup specific tests
///////////////////////////////////////////////////////////////////////
Vector<ctype> residue1(3);
Vector<ctype> result1(3);
Vector<ctype> b1(3);
SparseMatrix<ctype> test1(3);
/*
1 2 3 0 5 -7 -1
0 2 0 (x, y) = 4 0 ==> (x, y) = ( 2, 0 )
0 0 3 3 6 1 2
*/
test1.setEntry(0, 0, 1);
test1.setEntry(0, 1, 2);
test1.setEntry(0, 2, 3);
test1.setEntry(1, 1, 2);
test1.setEntry(2, 2, 3);
b1[0] = StaticVector<ctype, 2>(0, 5);
b1[1] = StaticVector<ctype, 2>(4, 0);
b1[2] = StaticVector<ctype, 2>(3, 6);
// solutions
test1.BiCGSTAB(b1, result1, residue1, maxIter, tolerance);
Vector<ctype> trueTest1(3);
trueTest1[0] = StaticVector<ctype, 2>(-7, -1);
trueTest1[1] = StaticVector<ctype, 2>(2, 0);
trueTest1[2] = StaticVector<ctype, 2>(1, 2);
// check results
check_result<ctype>(result1, trueTest1, tolerance, "specific matrix check 1 failed");
// second specific matrix
Vector<ctype> residue2(6);
Vector<ctype> result2(6);
Vector<ctype> b2(6);
SparseMatrix<ctype> test2(6);
test2.setEntry(0, 0, 1);
test2.setEntry(1, 1, 1);
test2.setEntry(2, 2, 1);
test2.setEntry(3, 3, 1);
test2.setEntry(4, 4, 1);
test2.setEntry(5, 5, 1);
test2.setEntry(1, 2, -0.0666667);
test2.setEntry(1, 3, -0.312071);
test2.setEntry(1, 4, -0.312071);
test2.setEntry(1, 0, -0.154595);
test2.setEntry(1, 5, -0.154595);
b2[0] = StaticVector<ctype, 2>(0.5,0.866025);
b2[1] = StaticVector<ctype, 2>(0,0);
b2[2] = StaticVector<ctype, 2>(1,0);
b2[3] = StaticVector<ctype, 2>(-0.5,0.866025);
b2[4] = StaticVector<ctype, 2>(-0.5,-0.866025);
b2[5] = StaticVector<ctype, 2>(0.5,-0.866025);
// solutions
test2.BiCGSTAB(b2, result2, residue2, maxIter, tolerance);
// check results
check_result_by_mult(test2, result2, b2, tolerance, "specific matrix check 2 failed");
// third specific matrix -- the identity!
Vector<ctype> residual3(2);
Vector<ctype> result3(2);
Vector<ctype> b3(2);
SparseMatrix<ctype> test3(2);
test3.setEntry(0, 0, 1);
test3.setEntry(1, 1, 1);
b3[0] = StaticVector<ctype, 2>(0,0);
b3[1] = StaticVector<ctype, 2>(0,0);
// solutions
test3.BiCGSTAB(b3, result3, residual3, maxIter, tolerance);
// check results
check_result_by_mult(test3, result3, b3, tolerance, "specific matrix check 3 failed");
}
int main (int argc, char* argv[]) {
feenableexcept(FE_INVALID);
const int n = 1, maxIter = 3000;
const double tolerance = 1e-3;
try {
test<float>(tolerance, n, maxIter);
test<double>(tolerance, n, maxIter);
test<long double>(tolerance, n, maxIter);
} catch (const exception& e) {
cout << e.what() << endl;
return 1;
}
return 0;
}
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