mirror of
https://github.com/gonum/gonum.git
synced 2025-09-27 19:42:12 +08:00
90 lines
2.2 KiB
Go
90 lines
2.2 KiB
Go
// Copyright ©2016 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 testlapack
|
|
|
|
import (
|
|
"fmt"
|
|
"math/rand/v2"
|
|
"testing"
|
|
|
|
"gonum.org/v1/gonum/blas"
|
|
"gonum.org/v1/gonum/blas/blas64"
|
|
)
|
|
|
|
type Dlarfxer interface {
|
|
Dlarfx(side blas.Side, m, n int, v []float64, tau float64, c []float64, ldc int, work []float64)
|
|
}
|
|
|
|
func DlarfxTest(t *testing.T, impl Dlarfxer) {
|
|
rnd := rand.New(rand.NewPCG(1, 1))
|
|
for _, side := range []blas.Side{blas.Right, blas.Left} {
|
|
// For m and n greater than 10 we are testing Dlarf, so avoid unnecessary work.
|
|
for m := 1; m < 12; m++ {
|
|
for n := 1; n < 12; n++ {
|
|
for _, extra := range []int{0, 1, 11} {
|
|
for cas := 0; cas < 10; cas++ {
|
|
testDlarfx(t, impl, side, m, n, extra, rnd)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func testDlarfx(t *testing.T, impl Dlarfxer, side blas.Side, m, n, extra int, rnd *rand.Rand) {
|
|
const tol = 1e-13
|
|
|
|
// Generate random input data.
|
|
var v []float64
|
|
if side == blas.Left {
|
|
v = randomSlice(m, rnd)
|
|
} else {
|
|
v = randomSlice(n, rnd)
|
|
}
|
|
tau := rnd.NormFloat64()
|
|
ldc := n + extra
|
|
c := randomGeneral(m, n, ldc, rnd)
|
|
|
|
// Compute the matrix H explicitly as H := I - tau * v * vᵀ.
|
|
var h blas64.General
|
|
if side == blas.Left {
|
|
h = eye(m, m+extra)
|
|
} else {
|
|
h = eye(n, n+extra)
|
|
}
|
|
blas64.Ger(-tau, blas64.Vector{Inc: 1, Data: v}, blas64.Vector{Inc: 1, Data: v}, h)
|
|
|
|
// Compute the product H * C or C * H explicitly.
|
|
cWant := nanGeneral(m, n, ldc)
|
|
if side == blas.Left {
|
|
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, h, c, 0, cWant)
|
|
} else {
|
|
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, c, h, 0, cWant)
|
|
}
|
|
|
|
var work []float64
|
|
if h.Rows > 10 {
|
|
// Allocate work only if H has order > 10.
|
|
if side == blas.Left {
|
|
work = make([]float64, n)
|
|
} else {
|
|
work = make([]float64, m)
|
|
}
|
|
}
|
|
|
|
impl.Dlarfx(side, m, n, v, tau, c.Data, c.Stride, work)
|
|
|
|
prefix := fmt.Sprintf("Case side=%c, m=%v, n=%v, extra=%v", side, m, n, extra)
|
|
|
|
// Check any invalid modifications of c.
|
|
if !generalOutsideAllNaN(c) {
|
|
t.Errorf("%v: out-of-range write to C\n%v", prefix, c.Data)
|
|
}
|
|
|
|
if !equalApproxGeneral(c, cWant, tol) {
|
|
t.Errorf("%v: unexpected C\n%v", prefix, c.Data)
|
|
}
|
|
}
|