| // Copyright ©2014 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 ( |
| "math" |
| "math/cmplx" |
| "testing" |
| |
| "golang.org/x/exp/rand" |
| |
| "gonum.org/v1/gonum/blas" |
| "gonum.org/v1/gonum/floats" |
| ) |
| |
| func TestFlattenBanded(t *testing.T) { |
| for i, test := range []struct { |
| dense [][]float64 |
| ku int |
| kl int |
| condensed [][]float64 |
| }{ |
| { |
| dense: [][]float64{{3}}, |
| ku: 0, |
| kl: 0, |
| condensed: [][]float64{{3}}, |
| }, |
| { |
| dense: [][]float64{ |
| {3, 4, 0}, |
| }, |
| ku: 1, |
| kl: 0, |
| condensed: [][]float64{ |
| {3, 4}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {3, 4, 0, 0, 0}, |
| }, |
| ku: 1, |
| kl: 0, |
| condensed: [][]float64{ |
| {3, 4}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {3, 4, 0}, |
| {0, 5, 8}, |
| {0, 0, 2}, |
| {0, 0, 0}, |
| {0, 0, 0}, |
| }, |
| ku: 1, |
| kl: 0, |
| condensed: [][]float64{ |
| {3, 4}, |
| {5, 8}, |
| {2, math.NaN()}, |
| {math.NaN(), math.NaN()}, |
| {math.NaN(), math.NaN()}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {3, 4, 6}, |
| {0, 5, 8}, |
| {0, 0, 2}, |
| {0, 0, 0}, |
| {0, 0, 0}, |
| }, |
| ku: 2, |
| kl: 0, |
| condensed: [][]float64{ |
| {3, 4, 6}, |
| {5, 8, math.NaN()}, |
| {2, math.NaN(), math.NaN()}, |
| {math.NaN(), math.NaN(), math.NaN()}, |
| {math.NaN(), math.NaN(), math.NaN()}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {3, 4, 6}, |
| {1, 5, 8}, |
| {0, 6, 2}, |
| {0, 0, 7}, |
| {0, 0, 0}, |
| }, |
| ku: 2, |
| kl: 1, |
| condensed: [][]float64{ |
| {math.NaN(), 3, 4, 6}, |
| {1, 5, 8, math.NaN()}, |
| {6, 2, math.NaN(), math.NaN()}, |
| {7, math.NaN(), math.NaN(), math.NaN()}, |
| {math.NaN(), math.NaN(), math.NaN(), math.NaN()}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {1, 2, 0}, |
| {3, 4, 5}, |
| {6, 7, 8}, |
| {0, 9, 10}, |
| {0, 0, 11}, |
| }, |
| ku: 1, |
| kl: 2, |
| condensed: [][]float64{ |
| {math.NaN(), math.NaN(), 1, 2}, |
| {math.NaN(), 3, 4, 5}, |
| {6, 7, 8, math.NaN()}, |
| {9, 10, math.NaN(), math.NaN()}, |
| {11, math.NaN(), math.NaN(), math.NaN()}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {1, 0, 0}, |
| {3, 4, 0}, |
| {6, 7, 8}, |
| {0, 9, 10}, |
| {0, 0, 11}, |
| }, |
| ku: 0, |
| kl: 2, |
| condensed: [][]float64{ |
| {math.NaN(), math.NaN(), 1}, |
| {math.NaN(), 3, 4}, |
| {6, 7, 8}, |
| {9, 10, math.NaN()}, |
| {11, math.NaN(), math.NaN()}, |
| }, |
| }, |
| { |
| dense: [][]float64{ |
| {1, 0, 0, 0, 0}, |
| {3, 4, 0, 0, 0}, |
| {1, 3, 5, 0, 0}, |
| }, |
| ku: 0, |
| kl: 2, |
| condensed: [][]float64{ |
| {math.NaN(), math.NaN(), 1}, |
| {math.NaN(), 3, 4}, |
| {1, 3, 5}, |
| }, |
| }, |
| } { |
| condensed := flattenBanded(test.dense, test.ku, test.kl) |
| correct := flatten(test.condensed) |
| if !floats.Same(condensed, correct) { |
| t.Errorf("Case %v mismatch. Want %v, got %v.", i, correct, condensed) |
| } |
| } |
| } |
| |
| func TestFlattenTriangular(t *testing.T) { |
| for i, test := range []struct { |
| a [][]float64 |
| ans []float64 |
| ul blas.Uplo |
| }{ |
| { |
| a: [][]float64{ |
| {1, 2, 3}, |
| {0, 4, 5}, |
| {0, 0, 6}, |
| }, |
| ul: blas.Upper, |
| ans: []float64{1, 2, 3, 4, 5, 6}, |
| }, |
| { |
| a: [][]float64{ |
| {1, 0, 0}, |
| {2, 3, 0}, |
| {4, 5, 6}, |
| }, |
| ul: blas.Lower, |
| ans: []float64{1, 2, 3, 4, 5, 6}, |
| }, |
| } { |
| a := flattenTriangular(test.a, test.ul) |
| if !floats.Equal(a, test.ans) { |
| t.Errorf("Case %v. Want %v, got %v.", i, test.ans, a) |
| } |
| } |
| } |
| |
| func TestPackUnpackAsHermitian(t *testing.T) { |
| rnd := rand.New(rand.NewSource(1)) |
| for _, uplo := range []blas.Uplo{blas.Upper, blas.Lower} { |
| for _, n := range []int{1, 2, 5, 50} { |
| for _, lda := range []int{max(1, n), n + 11} { |
| a := makeZGeneral(nil, n, n, lda) |
| for i := 0; i < n; i++ { |
| for j := i; j < n; j++ { |
| a[i*lda+j] = complex(rnd.NormFloat64(), rnd.NormFloat64()) |
| if i != j { |
| a[j*lda+i] = cmplx.Conj(a[i*lda+j]) |
| } |
| } |
| } |
| aCopy := make([]complex128, len(a)) |
| copy(aCopy, a) |
| |
| ap := zPack(uplo, n, a, lda) |
| if !zsame(a, aCopy) { |
| t.Errorf("Case uplo=%v,n=%v,lda=%v: zPack modified a", uplo, n, lda) |
| } |
| |
| apCopy := make([]complex128, len(ap)) |
| copy(apCopy, ap) |
| |
| art := zUnpackAsHermitian(uplo, n, ap) |
| if !zsame(ap, apCopy) { |
| t.Errorf("Case uplo=%v,n=%v,lda=%v: zUnpackAsHermitian modified ap", uplo, n, lda) |
| } |
| |
| // Copy the round-tripped A into a matrix with the same stride |
| // as the original. |
| got := makeZGeneral(nil, n, n, lda) |
| for i := 0; i < n; i++ { |
| copy(got[i*lda:i*lda+n], art[i*n:i*n+n]) |
| } |
| if !zsame(got, a) { |
| t.Errorf("Case uplo=%v,n=%v,lda=%v: zPack and zUnpackAsHermitian do not roundtrip", uplo, n, lda) |
| } |
| } |
| } |
| } |
| } |