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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 "cblas_wrappers.hh"
#include "lapack_wrappers.hh"
#include "blas/flops.hh"
#include "print_matrix.hh"
#include "check_gemm.hh"
// -----------------------------------------------------------------------------
template <typename TA, typename TX>
void test_trsv_work( Params& params, bool run )
{
#define A(i_, j_) (A + (i_) + (j_)*lda)
using namespace testsweeper;
using blas::Uplo;
using blas::Op;
using blas::Layout;
using blas::Diag;
using scalar_t = blas::scalar_type< TA, TX >;
using real_t = blas::real_type< scalar_t >;
using std::swap;
// get & mark input values
blas::Layout layout = params.layout();
blas::Uplo uplo = params.uplo();
blas::Op trans = params.trans();
blas::Diag diag = params.diag();
int64_t n = params.dim.n();
int64_t incx = params.incx();
int64_t align = params.align();
int64_t verbose = params.verbose();
// mark non-standard output values
params.gflops();
params.gbytes();
params.ref_time();
params.ref_gflops();
params.ref_gbytes();
// adjust header to msec
params.time.name( "time (ms)" );
params.ref_time.name( "ref time (ms)" );
params.ref_time.width( 13 );
if (! run)
return;
// setup
int64_t lda = roundup( n, align );
size_t size_A = size_t(lda)*n;
size_t size_x = size_t(n - 1) * std::abs(incx) + 1;
TA* A = new TA[ size_A ];
TX* x = new TX[ size_x ];
TX* xref = new TX[ size_x ];
int64_t idist = 1;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, size_A, A );
lapack_larnv( idist, iseed, size_x, x );
cblas_copy( n, x, incx, xref, incx );
// set unused data to nan
if (uplo == Uplo::Lower) {
for (int64_t j = 0; j < n; ++j)
for (int64_t i = 0; i < j; ++i) // upper
A[ i + j*lda ] = nan("");
}
else {
for (int64_t j = 0; j < n; ++j)
for (int64_t i = j+1; i < n; ++i) // lower
A[ i + j*lda ] = nan("");
}
// Factor A into L L^H or U U^H to get a well-conditioned triangular matrix.
// If diag == Unit, the diagonal is replaced; this is still well-conditioned.
// First, brute force positive definiteness.
for (int64_t i = 0; i < n; ++i) {
A[ i + i*lda ] += n;
}
int64_t info = 0;
lapack_potrf( to_c_string( uplo ), n, A, lda, &info );
require( info == 0 );
// norms for error check
real_t work[1];
real_t Anorm = lapack_lantr( "f", to_c_string( uplo ), to_c_string( diag ),
n, n, A, lda, work );
real_t Xnorm = cblas_nrm2( n, x, std::abs(incx) );
// if row-major, transpose A
if (layout == Layout::RowMajor) {
for (int64_t j = 0; j < n; ++j) {
for (int64_t i = 0; i < j; ++i) {
swap( A[ i + j*lda ], A[ j + i*lda ] );
}
}
}
// test error exits
assert_throw( blas::trsv( Layout(0), uplo, trans, diag, n, A, lda, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, Uplo(0), trans, diag, n, A, lda, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, uplo, Op(0), diag, n, A, lda, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, uplo, trans, Diag(0), n, A, lda, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, uplo, trans, diag, -1, A, lda, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, uplo, trans, diag, n, A, n-1, x, incx ), blas::Error );
assert_throw( blas::trsv( layout, uplo, trans, diag, n, A, lda, x, 0 ), blas::Error );
if (verbose >= 1) {
printf( "\n"
"A n=%5lld, lda=%5lld, size=%10lld, norm=%.2e\n"
"x n=%5lld, inc=%5lld, size=%10lld, norm=%.2e\n",
llong( n ), llong( lda ), llong( size_A ), Anorm,
llong( n ), llong( incx ), llong( size_x ), Xnorm );
}
if (verbose >= 2) {
printf( "A = " ); print_matrix( n, n, A, lda );
printf( "x = " ); print_vector( n, x, incx );
}
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
blas::trsv( layout, uplo, trans, diag, n, A, lda, x, incx );
time = get_wtime() - time;
double gflop = blas::Gflop< scalar_t >::trsv( n );
double gbyte = blas::Gbyte< scalar_t >::trsv( n );
params.time() = time * 1000; // msec
params.gflops() = gflop / time;
params.gbytes() = gbyte / time;
if (verbose >= 2) {
printf( "x2 = " ); print_vector( n, x, incx );
}
if (params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
cblas_trsv( cblas_layout_const(layout),
cblas_uplo_const(uplo),
cblas_trans_const(trans),
cblas_diag_const(diag),
n, A, lda, xref, incx );
time = get_wtime() - time;
params.ref_time() = time * 1000; // msec
params.ref_gflops() = gflop / time;
params.ref_gbytes() = gbyte / time;
if (verbose >= 2) {
printf( "xref = " ); print_vector( n, xref, incx );
}
// check error compared to reference
// treat x as 1 x n matrix with ld = incx; k = n is reduction dimension
// alpha = 1, beta = 0.
real_t error;
bool okay;
check_gemm( 1, n, n, scalar_t(1), scalar_t(0), Anorm, Xnorm, real_t(0),
xref, std::abs(incx), x, std::abs(incx), verbose, &error, &okay );
params.error() = error;
params.okay() = okay;
}
delete[] A;
delete[] x;
delete[] xref;
#undef A
}
// -----------------------------------------------------------------------------
void test_trsv( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_trsv_work< float, float >( params, run );
break;
case testsweeper::DataType::Double:
test_trsv_work< double, double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_trsv_work< std::complex<float>, std::complex<float> >
( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_trsv_work< std::complex<double>, std::complex<double> >
( params, run );
break;
default:
throw std::exception();
break;
}
}
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