forked from gonum/gonum
/
zsyr2k.go
155 lines (139 loc) · 4.71 KB
/
zsyr2k.go
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
// Copyright ©2019 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package testblas
import (
"fmt"
"testing"
"golang.org/x/exp/rand"
"gonum.org/v1/gonum/blas"
)
type Zsyr2ker interface {
Zsyr2k(uplo blas.Uplo, trans blas.Transpose, n, k int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta complex128, c []complex128, ldc int)
}
func Zsyr2kTest(t *testing.T, impl Zsyr2ker) {
for _, uplo := range []blas.Uplo{blas.Upper, blas.Lower} {
for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
name := uploString(uplo) + "-" + transString(trans)
t.Run(name, func(t *testing.T) {
for _, n := range []int{0, 1, 2, 3, 4, 5} {
for _, k := range []int{0, 1, 2, 3, 4, 5, 7} {
zsyr2kTest(t, impl, uplo, trans, n, k)
}
}
})
}
}
}
func zsyr2kTest(t *testing.T, impl Zsyr2ker, uplo blas.Uplo, trans blas.Transpose, n, k int) {
const tol = 1e-13
rnd := rand.New(rand.NewSource(1))
row, col := n, k
if trans == blas.Trans {
row, col = k, n
}
for _, lda := range []int{max(1, col), col + 2} {
for _, ldb := range []int{max(1, col), col + 3} {
for _, ldc := range []int{max(1, n), n + 4} {
for _, alpha := range []complex128{0, 1, complex(0.7, -0.9)} {
for _, beta := range []complex128{0, 1, complex(1.3, -1.1)} {
// Allocate the matrix A and fill it with random numbers.
a := make([]complex128, row*lda)
for i := range a {
a[i] = rndComplex128(rnd)
}
// Create a copy of A for checking that
// Zsyr2k does not modify A.
aCopy := make([]complex128, len(a))
copy(aCopy, a)
// Allocate the matrix B and fill it with random numbers.
b := make([]complex128, row*ldb)
for i := range b {
b[i] = rndComplex128(rnd)
}
// Create a copy of B for checking that
// Zsyr2k does not modify B.
bCopy := make([]complex128, len(b))
copy(bCopy, b)
// Allocate the matrix C and fill it with random numbers.
c := make([]complex128, n*ldc)
for i := range c {
c[i] = rndComplex128(rnd)
}
// Create a copy of C for checking that
// Zsyr2k does not modify its triangle
// opposite to uplo.
cCopy := make([]complex128, len(c))
copy(cCopy, c)
// Create a copy of C expanded into a
// full symmetric matrix for computing
// the expected result using zmm.
cSym := make([]complex128, len(c))
copy(cSym, c)
if uplo == blas.Upper {
for i := 0; i < n-1; i++ {
for j := i + 1; j < n; j++ {
cSym[j*ldc+i] = cSym[i*ldc+j]
}
}
} else {
for i := 1; i < n; i++ {
for j := 0; j < i; j++ {
cSym[j*ldc+i] = cSym[i*ldc+j]
}
}
}
// Compute the expected result using an internal Zgemm implementation.
var want []complex128
if trans == blas.NoTrans {
// C = alpha*A*Bᵀ + alpha*B*Aᵀ + beta*C
tmp := zmm(blas.NoTrans, blas.Trans, n, n, k, alpha, a, lda, b, ldb, beta, cSym, ldc)
want = zmm(blas.NoTrans, blas.Trans, n, n, k, alpha, b, ldb, a, lda, 1, tmp, ldc)
} else {
// C = alpha*Aᵀ*B + alpha*Bᵀ*A + beta*C
tmp := zmm(blas.Trans, blas.NoTrans, n, n, k, alpha, a, lda, b, ldb, beta, cSym, ldc)
want = zmm(blas.Trans, blas.NoTrans, n, n, k, alpha, b, ldb, a, lda, 1, tmp, ldc)
}
// Compute the result using Zsyr2k.
impl.Zsyr2k(uplo, trans, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
prefix := fmt.Sprintf("n=%v,k=%v,lda=%v,ldb=%v,ldc=%v,alpha=%v,beta=%v", n, k, lda, ldb, ldc, alpha, beta)
if !zsame(a, aCopy) {
t.Errorf("%v: unexpected modification of A", prefix)
continue
}
if !zsame(b, bCopy) {
t.Errorf("%v: unexpected modification of B", prefix)
continue
}
if uplo == blas.Upper && !zSameLowerTri(n, c, ldc, cCopy, ldc) {
t.Errorf("%v: unexpected modification in lower triangle of C", prefix)
continue
}
if uplo == blas.Lower && !zSameUpperTri(n, c, ldc, cCopy, ldc) {
t.Errorf("%v: unexpected modification in upper triangle of C", prefix)
continue
}
// Expand C into a full symmetric matrix
// for comparison with the result from zmm.
if uplo == blas.Upper {
for i := 0; i < n-1; i++ {
for j := i + 1; j < n; j++ {
c[j*ldc+i] = c[i*ldc+j]
}
}
} else {
for i := 1; i < n; i++ {
for j := 0; j < i; j++ {
c[j*ldc+i] = c[i*ldc+j]
}
}
}
if !zEqualApprox(c, want, tol) {
t.Errorf("%v: unexpected result", prefix)
}
}
}
}
}
}
}