int AddDenseDenseTestObj()
{
DenseMatrix A(3, 3, 0.);
A(0, 0) = 1;
A(0, 1) = 1;
A(0, 2) = 1;
A(1, 2) = 5;
A(2, 2) = -1;
DenseMatrix B(3, 3, 1.);
B(0, 0) = 2;
B(0, 1) = -1;
B(0, 2) = 3;
B(1, 2) = -5;
B(2, 2) = -1;
DenseMatrix C = A + B;
DenseMatrix D = (A+B) + B;
DenseMatrix E = move(A) + (B+A);
double expected[9] = {4, 1, 1, 1, 1, 1, 5, 5, -3};
assertEqual(expected, E.getData(), 9);
return 1;
}
int MultiplySparseDenseTestObj(){
SparseMatrix A{3,3, true};
A(0, 0) = 1;
A(0, 1) = 1;
A(0, 2) = 1;
A(1, 2) = 5;
A(2, 2) = -1;
A.build();
DenseMatrix x{3,2, 1.};
x(0,1) = 3;
x(1,1) = 7;
x(2,0) = 9;
DenseMatrix y{1,3};
y(0,0) = 3;
y(0,1) = 7;
y(0,2) = 9;
DenseMatrix res = A*x;
double expected[6] = {11, 46, -3, 11, 8, 37};
assertEqual(expected, res.getData(), 6);
DenseMatrix res2 = y*A;
double expected2[3] = {19, 48, 29};
assertEqual(expected2, res2.getData(), 3);
return 1;
}
int TestCaseFunctionOperatorObj(){
SparseMatrix A{3,3, true};
A(0, 0) = 1;
A(0, 1) = 1;
A(0, 2) = 1;
A(1, 2) = 5;
A(2, 2) = -1;
A.build();
DenseMatrix b{3};
b(0) = 6;
b(1) = -4;
b(2) = 27;
// Ax = b
Factor factor = A.analyze();
bool res = factor.factorize(A);
TINYTEST_ASSERT(res);
DenseMatrix x = solve(factor, b);
double expected[] = {2.78571f,4.57143f,-1.35714f};
assertEqual(expected, x.getData(), 3);
// update values
A.zero();
A(0, 0) = 2;
A(0, 1) = 9;
A(0, 2) = 7;
A(1, 2) = 8;
A(2, 2) = -3;
factor.factorize(A);
x = solve(factor, b);
double expected2[] = {1.0935,1.76937,-1.73019};
assertEqual(expected2, x.getData(), 3);
return 1;
}
int SolveSparseDenseFactorTestObj()
{
SparseMatrix A{3,3, true};
A(0, 0) = 1;
A(0, 1) = 1;
A(0, 2) = 1;
A(1, 2) = 5;
A(2, 2) = -1;
A.build();
DenseMatrix b{3};
b(0) = 6;
b(1) = -4;
b(2) = 27;
Factor F;
F = A.analyze();
bool res = F.factorize(A);
DenseMatrix x = solve(F, b);
double expected[] = {2.78571f,4.57143f,-1.35714f};
assertEqual(expected, x.getData(), 3);
// update values
A.zero();
A(0, 0) = 2;
A(0, 1) = 9;
A(0, 2) = 7;
A(1, 2) = 8;
A(2, 2) = -3;
F.factorize(A);
x = solve(F, b);
double expected2[] = {1.0935,1.76937,-1.73019};
assertEqual(expected2, x.getData(), 3);
return 1;
}
int TransposeDenseTestObj()
{
DenseMatrix b{3};
b(0) = 6;
b(1) = -4;
b(2) = 27;
b.transpose();
DenseMatrix c = transposed(b);
DenseMatrix d = transposed(move(c));
assertEqual(b.getData(), d.getData(), 3)
return 1;
}
int SolveSparseDenseTestObj()
{
SparseMatrix A{3,3, true};
A(0, 0) = 1;
A(0, 1) = 1;
A(0, 2) = 1;
A(1, 2) = 5;
A(2, 2) = -1;
A.build();
DenseMatrix b{3};
b(0) = 6;
b(1) = -4;
b(2) = 27;
// Ax = b
DenseMatrix x = solve(A, b);
double expected[] = {2.78571f,4.57143f,-1.35714f};
assertEqual(expected, x.getData(), 3);
return 1;
}
int MultiplyDenseDenseTestObj(){
DenseMatrix x{3, 2, 1.};
x(0,1) = 3;
x(1,1) = 7;
x(2,0) = 9;
DenseMatrix y{2, 3, 1.};
y(0,0) = -3;
y(0,1) = 7;
y(1,1) = 2;
DenseMatrix res = y*x;
double expected[4] = {13, 12, 41, 18};
assertEqual(expected, res.getData(), 3);
DenseMatrix v{3,1};
v(0) = 3;
v(1) = 7;
v(2) = 9;
DenseMatrix w{1,3};
w(0,0) = -3;
w(0,1) = 7;
w(0,2) = 2;
DenseMatrix res2 = w*v;
TINYTEST_ASSERT(58 == res2(0,0));
DenseMatrix res3 = v*w;
TINYTEST_ASSERT(-9 == res3(0,0));
DenseMatrix res4 = w*x;
double expected2[2] = {22, 42};
assertEqual(expected2, res4.getData(), 2);
return 1;
}
int SolveDenseDenseTestObj()
{
DenseMatrix A{3,3, 1.};
A(0, 0) = -1;
A(0, 1) = 5;
A(0, 2) = -3;
A(1, 2) = 5;
A(2, 0) = -1;
DenseMatrix b{3, 2, 1.};
b(0) = 6;
b(1) = -4;
b(2) = 27;
// Ax = b
DenseMatrix x = solve(A, b);
double expected[6] = {-23.8750, -1.0625, 4.1875, -0.5, 0.25, 0.25};
assertEqual(expected, x.getData(), 6);
DenseMatrix x2 = solve(move(A), move(b));
assertEqual(expected, x2.getData(), 6);
return 1;
}