public void Test_BLAS2_TPSV()
{
// Solve Ax = y, and x overwrites y.
ClearBuffer(hiMatrixANN);
ClearBuffer(hiMatrixAPS);
ClearBuffer(hiVectorXN);
ClearBuffer(hiVectorYN);
diMatrixA = _gpu.Allocate(hiMatrixAPS);
diVectorYN = _gpu.Allocate(hiVectorYN);
// Because of there is no singular test, set matrix A to simple maindiagonal only matrix.
CreateMainDiagonalOnlyMatrix(hiMatrixANN, N);
FillBuffer(hiVectorYN);
// Lower fill mode
PackSymmetricMatrix(hiMatrixANN, hiMatrixAPS, N, cublasFillMode.Lower);
_gpu.CopyToDevice(hiMatrixAPS, diMatrixA);
// Test without transpose
_gpu.CopyToDevice(hiVectorYN, diVectorYN);
_blas.TPSV(N, diMatrixA, diVectorYN);
_gpu.CopyFromDevice(diVectorYN, hiVectorXN);
// Check solution error : y - Ax by elemental wise.
double maxError = 0.0;
for (int i = 0; i < N; i++)
{
double ax = 0.0;
for (int j = 0; j < N; j++)
{
ax += hiMatrixANN[GetIndexColumnMajor(i, j, N)] * hiVectorXN[j];
}
double error = Math.Abs(ax - hiVectorYN[i]);
if (maxError < error)
{
maxError = error;
}
}
Console.WriteLine("max error : {0} (lower fill mode, without transpose)", maxError);
// Test with transpose
_gpu.CopyToDevice(hiVectorYN, diVectorYN);
_blas.TPSV(N, diMatrixA, diVectorYN, cublasOperation.T);
_gpu.CopyFromDevice(diVectorYN, hiVectorXN);
// Check solution error : y - Ax by elemental wise.
maxError = 0.0;
for (int j = 0; j < N; j++)
{
double ax = 0.0;
for (int i = 0; i < N; i++)
{
ax += hiMatrixANN[GetIndexColumnMajor(i, j, N)] * hiVectorXN[i];
}
double error = Math.Abs(ax - hiVectorYN[j]);
if (maxError < error)
{
maxError = error;
}
}
Console.WriteLine("max error : {0} (lower fill mode, with transpose)", maxError);
// Upper fill mode
PackSymmetricMatrix(hiMatrixANN, hiMatrixAPS, N, cublasFillMode.Upper);
_gpu.CopyToDevice(hiMatrixAPS, diMatrixA);
// Test without transpose
_gpu.CopyToDevice(hiVectorYN, diVectorYN);
_blas.TPSV(N, diMatrixA, diVectorYN, cublasOperation.N, cublasFillMode.Upper);
_gpu.CopyFromDevice(diVectorYN, hiVectorXN);
// Check solution error : y - Ax by elemental wise.
maxError = 0.0;
for (int i = 0; i < N; i++)
{
double ax = 0.0;
for (int j = 0; j < N; j++)
{
ax += hiMatrixANN[GetIndexColumnMajor(i, j, N)] * hiVectorXN[j];
}
double error = Math.Abs(ax - hiVectorYN[i]);
if (maxError < error)
{
maxError = error;
}
}
Console.WriteLine("max error : {0} (upper fill mode, without transpose)", maxError);
// Test with transpose
_gpu.CopyToDevice(hiVectorYN, diVectorYN);
_blas.TPSV(N, diMatrixA, diVectorYN, cublasOperation.T, cublasFillMode.Upper);
_gpu.CopyFromDevice(diVectorYN, hiVectorXN);
// Check solution error : y - Ax by elemental wise.
maxError = 0.0;
for (int j = 0; j < N; j++)
{
double ax = 0.0;
for (int i = 0; i < N; i++)
{
ax += hiMatrixANN[GetIndexColumnMajor(i, j, N)] * hiVectorXN[i];
}
double error = Math.Abs(ax - hiVectorYN[j]);
if (maxError < error)
{
maxError = error;
}
}
Console.WriteLine("max error : {0} (upper fill mode, with transpose)", maxError);
_gpu.FreeAll();
}