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// Copyright (c) 2017-2023, University of Tennessee. All rights reserved.
// SPDX-License-Identifier: BSD-3-Clause
// This program is free software: you can redistribute it and/or modify it under
// the terms of the BSD 3-Clause license. See the accompanying LICENSE file.
#include "test.hh"
#include "lapack.hh"
#include "lapack/flops.hh"
#include "print_matrix.hh"
#include "error.hh"
#include "lapacke_wrappers.hh"
#include <vector>
// -----------------------------------------------------------------------------
template< typename scalar_t >
void test_pprfs_work( Params& params, bool run )
{
using real_t = blas::real_type< scalar_t >;
// get & mark input values
lapack::Uplo uplo = params.uplo();
int64_t n = params.dim.n();
int64_t nrhs = params.nrhs();
int64_t align = params.align();
real_t eps = std::numeric_limits< real_t >::epsilon();
// mark non-standard output values
params.ref_time();
//params.ref_gflops();
//params.gflops();
if (! run)
return;
// ---------- setup
int64_t ldb = roundup( blas::max( 1, n ), align );
int64_t ldx = roundup( blas::max( 1, n ), align );
size_t size_AP = (size_t) (n*(n+1)/2);
size_t size_AFP = (size_t) (n*(n+1)/2);
size_t size_B = (size_t) ldb * nrhs;
size_t size_X = (size_t) ldx * nrhs;
size_t size_ferr = (size_t) (nrhs);
size_t size_berr = (size_t) (nrhs);
std::vector< scalar_t > AP( size_AP );
std::vector< scalar_t > AFP( size_AFP );
std::vector< scalar_t > B( size_B );
std::vector< scalar_t > X_tst( size_X );
std::vector< scalar_t > X_ref( size_X );
std::vector< real_t > ferr_tst( size_ferr );
std::vector< real_t > ferr_ref( size_ferr );
std::vector< real_t > berr_tst( size_berr );
std::vector< real_t > berr_ref( size_berr );
int64_t idist = 1;
int64_t iseed[4] = { 0, 1, 2, 3 };
lapack::larnv( idist, iseed, AP.size(), &AP[0] );
lapack::larnv( idist, iseed, AFP.size(), &AFP[0] );
lapack::larnv( idist, iseed, B.size(), &B[0] );
lapack::larnv( idist, iseed, X_tst.size(), &X_tst[0] );
X_ref = X_tst;
// diagonally dominant -> positive definite
if (uplo == lapack::Uplo::Upper) {
for (int64_t i = 0; i < n; ++i) {
AP[ i + 0.5*(i+1)*i ] += n;
}
}
else { // lower
for (int64_t i = 0; i < n; ++i) {
AP[ i + n*i - 0.5*i*(i+1) ] += n;
}
}
AFP = AP;
// factor AFP
int64_t info = lapack::pptrf( uplo, n, &AFP[0] );
if (info != 0) {
fprintf( stderr, "lapack::pptrf returned error %lld\n", llong( info ) );
}
// compute solution
info = lapack::pptrs( uplo, n, nrhs, &AFP[0], &B[0], ldb );
if (info != 0) {
fprintf( stderr, "lapack::pptrs returned error %lld\n", llong( info ) );
}
// ---------- run test
testsweeper::flush_cache( params.cache() );
double time = testsweeper::get_wtime();
int64_t info_tst = lapack::pprfs( uplo, n, nrhs, &AP[0], &AFP[0], &B[0], ldb, &X_tst[0], ldx, &ferr_tst[0], &berr_tst[0] );
time = testsweeper::get_wtime() - time;
if (info_tst != 0) {
fprintf( stderr, "lapack::pprfs returned error %lld\n", llong( info_tst ) );
}
params.time() = time;
//double gflop = lapack::Gflop< scalar_t >::pprfs( n, nrhs );
//params.gflops() = gflop / time;
if (params.ref() == 'y' || params.check() == 'y') {
// ---------- run reference
testsweeper::flush_cache( params.cache() );
time = testsweeper::get_wtime();
int64_t info_ref = LAPACKE_pprfs( to_char( uplo ), n, nrhs, &AP[0], &AFP[0], &B[0], ldb, &X_ref[0], ldx, &ferr_ref[0], &berr_ref[0] );
time = testsweeper::get_wtime() - time;
if (info_ref != 0) {
fprintf( stderr, "LAPACKE_pprfs returned error %lld\n", llong( info_ref ) );
}
params.ref_time() = time;
//params.ref_gflops() = gflop / time;
// ---------- check error compared to reference
real_t error = 0;
if (info_tst != info_ref) {
error = 1;
}
error += abs_error( X_tst, X_ref );
error += abs_error( ferr_tst, ferr_ref );
error += abs_error( berr_tst, berr_ref );
params.error() = error;
params.okay() = (error < 3*eps);
}
}
// -----------------------------------------------------------------------------
void test_pprfs( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_pprfs_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_pprfs_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_pprfs_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_pprfs_work< std::complex<double> >( params, run );
break;
default:
throw std::runtime_error( "unknown datatype" );
break;
}
}
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