| // Copyright ©2018 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 Zgbmver interface { |
| Zgbmv(trans blas.Transpose, m, n, kL, kU int, alpha complex128, ab []complex128, ldab int, x []complex128, incX int, beta complex128, y []complex128, incY int) |
| |
| Zgemver |
| } |
| |
| func ZgbmvTest(t *testing.T, impl Zgbmver) { |
| rnd := rand.New(rand.NewSource(1)) |
| for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans, blas.ConjTrans} { |
| // Generate all possible size combinations. |
| for _, mn := range allPairs([]int{1, 2, 3, 5}, []int{1, 2, 3, 5}) { |
| m := mn[0] |
| n := mn[1] |
| // Generate all possible numbers of lower and upper |
| // diagonals. Use slices to reduce indentation. |
| kLs := make([]int, max(1, m)) |
| for i := range kLs { |
| kLs[i] = i |
| } |
| kUs := make([]int, max(1, n)) |
| for i := range kUs { |
| kUs[i] = i |
| } |
| for _, ks := range allPairs(kLs, kUs) { |
| kL := ks[0] |
| kU := ks[1] |
| for _, ab := range []struct { |
| alpha complex128 |
| beta complex128 |
| }{ |
| // All potentially relevant values of |
| // alpha and beta. |
| {0, 0}, |
| {0, 1}, |
| {0, complex(rnd.NormFloat64(), rnd.NormFloat64())}, |
| {complex(rnd.NormFloat64(), rnd.NormFloat64()), 0}, |
| {complex(rnd.NormFloat64(), rnd.NormFloat64()), 1}, |
| {complex(rnd.NormFloat64(), rnd.NormFloat64()), complex(rnd.NormFloat64(), rnd.NormFloat64())}, |
| } { |
| for _, ldab := range []int{kL + kU + 1, kL + kU + 20} { |
| for _, inc := range allPairs([]int{-3, -2, -1, 1, 2, 3}, []int{-3, -2, -1, 1, 2, 3}) { |
| incX := inc[0] |
| incY := inc[1] |
| testZgbmv(t, impl, rnd, trans, m, n, kL, kU, ab.alpha, ab.beta, ldab, incX, incY) |
| } |
| } |
| } |
| } |
| } |
| } |
| } |
| |
| // testZgbmv tests Zgbmv by comparing its output to that of Zgemv. |
| func testZgbmv(t *testing.T, impl Zgbmver, rnd *rand.Rand, trans blas.Transpose, m, n, kL, kU int, alpha, beta complex128, ldab, incX, incY int) { |
| const tol = 1e-13 |
| |
| // Allocate a dense-storage band matrix filled with NaNs that will be |
| // used as the reference matrix for Zgemv. |
| lda := max(1, n) |
| a := makeZGeneral(nil, m, n, lda) |
| // Fill the matrix with zeros. |
| for i := 0; i < m; i++ { |
| for j := 0; j < n; j++ { |
| a[i*lda+j] = 0 |
| } |
| } |
| // Fill the band with random data. |
| for i := 0; i < m; i++ { |
| for j := max(0, i-kL); j < min(n, i+kU+1); j++ { |
| re := rnd.NormFloat64() |
| im := rnd.NormFloat64() |
| a[i*lda+j] = complex(re, im) |
| } |
| } |
| // Create the actual band matrix. |
| ab := zPackBand(kL, kU, ldab, m, n, a, lda) |
| abCopy := make([]complex128, len(ab)) |
| copy(abCopy, ab) |
| |
| // Compute correct lengths of vectors x and y. |
| var lenX, lenY int |
| switch trans { |
| case blas.NoTrans: |
| lenX = n |
| lenY = m |
| case blas.Trans, blas.ConjTrans: |
| lenX = m |
| lenY = n |
| } |
| |
| // Generate a random complex vector x. |
| xtest := make([]complex128, lenX) |
| for i := range xtest { |
| re := rnd.NormFloat64() |
| im := rnd.NormFloat64() |
| xtest[i] = complex(re, im) |
| } |
| x := makeZVector(xtest, incX) |
| xCopy := make([]complex128, len(x)) |
| copy(xCopy, x) |
| |
| // Generate a random complex vector y. |
| ytest := make([]complex128, lenY) |
| for i := range ytest { |
| re := rnd.NormFloat64() |
| im := rnd.NormFloat64() |
| ytest[i] = complex(re, im) |
| } |
| y := makeZVector(ytest, incY) |
| |
| want := make([]complex128, len(y)) |
| copy(want, y) |
| |
| // Compute the reference result of alpha*op(A)*x + beta*y, storing it |
| // into want. |
| impl.Zgemv(trans, m, n, alpha, a, lda, x, incX, beta, want, incY) |
| // Compute alpha*op(A)*x + beta*y, storing the result in-place into y. |
| impl.Zgbmv(trans, m, n, kL, kU, alpha, ab, ldab, x, incX, beta, y, incY) |
| |
| name := fmt.Sprintf("trans=%v,m=%v,n=%v,kL=%v,kU=%v,lda=%v,incX=%v,incY=%v", trans, m, n, kL, kU, lda, incX, incY) |
| if !zsame(ab, abCopy) { |
| t.Errorf("%v: unexpected modification of ab", name) |
| } |
| if !zsame(x, xCopy) { |
| t.Errorf("%v: unexpected modification of x", name) |
| } |
| if !zSameAtNonstrided(y, want, incY) { |
| t.Errorf("%v: unexpected modification of y", name) |
| } |
| if !zEqualApproxAtStrided(y, want, incY, tol) { |
| t.Errorf("%v: unexpected result\ngot %v\nwant %v\n", name, y, want) |
| } |
| } |