1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
|
// 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 TX, typename TY>
void test_axpy_work( Params& params, bool run )
{
using namespace testsweeper;
using std::abs;
using std::real;
using std::imag;
using scalar_t = blas::scalar_type< TX, TY >;
using real_t = blas::real_type< scalar_t >;
// get & mark input values
scalar_t alpha = params.alpha.get<scalar_t>();
int64_t n = params.dim.n();
int64_t incx = params.incx();
int64_t incy = params.incy();
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;
size_t size_y = (n - 1) * std::abs(incy) + 1;
TX* x = new TX[ size_x ];
TY* y = new TY[ size_y ];
TY* yref = new TY[ size_y ];
TY* y0 = new TY[ size_y ];
int64_t idist = 1;
int iseed[4] = { 0, 0, 0, 1 };
lapack_larnv( idist, iseed, size_x, x );
lapack_larnv( idist, iseed, size_y, y );
cblas_copy( n, y, incy, yref, incy );
cblas_copy( n, y, incy, y0, incy );
// test error exits
assert_throw( blas::axpy( -1, alpha, x, incx, y, incy ), blas::Error );
assert_throw( blas::axpy( n, alpha, x, 0, y, incy ), blas::Error );
assert_throw( blas::axpy( n, alpha, x, incx, y, 0 ), blas::Error );
if (verbose >= 1) {
printf( "\n"
"x n=%5lld, inc=%5lld, size=%10lld\n"
"y n=%5lld, inc=%5lld, size=%10lld\n",
llong( n ), llong( incx ), llong( size_x ),
llong( n ), llong( incy ), llong( size_y ) );
}
if (verbose >= 2) {
printf( "alpha = %.4e + %.4ei;\n",
real(alpha), imag(alpha) );
printf( "x = " ); print_vector( n, x, incx );
printf( "y = " ); print_vector( n, y, incy );
}
// run test
testsweeper::flush_cache( params.cache() );
double time = get_wtime();
blas::axpy( n, alpha, x, incx, y, incy );
time = get_wtime() - time;
double gflop = blas::Gflop< scalar_t >::axpy( n );
double gbyte = blas::Gbyte< scalar_t >::axpy( n );
params.time() = time * 1000; // msec
params.gflops() = gflop / time;
params.gbytes() = gbyte / time;
if (verbose >= 2) {
printf( "y2 = " ); print_vector( n, y, incy );
}
if (params.check() == 'y') {
// run reference
testsweeper::flush_cache( params.cache() );
time = get_wtime();
cblas_axpy( n, alpha, x, incx, yref, incy );
time = get_wtime() - time;
params.ref_time() = time * 1000; // msec
params.ref_gflops() = gflop / time;
params.ref_gbytes() = gbyte / time;
if (verbose >= 2) {
printf( "yref = " ); print_vector( n, yref, incy );
}
// maximum component-wise forward error:
// | fl(yi) - yi | / (2 |alpha xi| + |y0_i|)
real_t error = 0;
int64_t ix = (incx > 0 ? 0 : (-n + 1)*incx);
int64_t iy = (incy > 0 ? 0 : (-n + 1)*incy);
for (int64_t i = 0; i < n; ++i) {
y[iy] = abs( y[iy] - yref[iy] )
/ (2*(abs( alpha * x[ix] ) + abs( y0[iy] )));
error = std::max( error, real( y[iy] ) );
ix += incx;
iy += incy;
}
if (verbose >= 2) {
printf( "err = " ); print_vector( n, y, incy, "%9.2e" );
}
// 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;
delete[] y;
delete[] yref;
}
// -----------------------------------------------------------------------------
void test_axpy( Params& params, bool run )
{
switch (params.datatype()) {
case testsweeper::DataType::Single:
test_axpy_work< float, float >( params, run );
break;
case testsweeper::DataType::Double:
test_axpy_work< double, double >( params, run );
break;
case testsweeper::DataType::SingleComplex:
test_axpy_work< std::complex<float>, std::complex<float> >
( params, run );
break;
case testsweeper::DataType::DoubleComplex:
test_axpy_work< std::complex<double>, std::complex<double> >
( params, run );
break;
default:
throw std::exception();
break;
}
}
|
