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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"
// -----------------------------------------------------------------------------
template <typename T>
void test_nrm2_work( Params& params, bool run )
{
using namespace testsweeper;
typedef T scalar_t;
using real_t = blas::real_type< T >;
using std::abs;
// get & mark input values
int64_t n = params.dim.n();
int64_t incx = params.incx();
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
size_t size_x = (n - 1) * std::abs(incx) + 1;
T* x = new T[ size_x ];
int64_t idist = 1;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, size_x, x );
// test error exits
assert_throw( blas::nrm2( -1, x, incx ), blas::Error );
assert_throw( blas::nrm2( n, x, 0 ), blas::Error );
assert_throw( blas::nrm2( n, x, -1 ), blas::Error );
if (verbose >= 1) {
printf( "\n"
"x n=%5lld, inc=%5lld, size=%10lld\n",
llong( n ), llong( incx ), llong( size_x ) );
}
if (verbose >= 2) {
printf( "x = " ); print_vector( n, x, incx );
}
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
real_t result = blas::nrm2( n, x, incx );
time = get_wtime() - time;
double gflop = blas::Gflop< T >::nrm2( n );
double gbyte = blas::Gbyte< T >::nrm2( n );
params.time() = time * 1000; // msec
params.gflops() = gflop / time;
params.gbytes() = gbyte / time;
if (verbose >= 2) {
printf( "result = %.4e\n", result );
}
if (params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
real_t ref = cblas_nrm2( n, x, std::abs(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( "ref = %.4e\n", ref );
}
// relative forward error
real_t error = abs( (ref - result) / (sqrt(n+1) * ref) );
// complex needs extra factor; see Higham, 2002, sec. 3.6.
if (blas::is_complex<scalar_t>::value) {
error /= 2*sqrt(2);
}
real_t u = 0.5 * std::numeric_limits< real_t >::epsilon();
params.error() = error;
params.okay() = (error < u);
}
delete[] x;
}
// -----------------------------------------------------------------------------
void test_nrm2( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_nrm2_work< float >( params, run );
break;
case testsweeper::DataType::Double:
test_nrm2_work< double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_nrm2_work< std::complex<float> >( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_nrm2_work< std::complex<double> >( params, run );
break;
default:
throw std::exception();
break;
}
}
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