gonum/blas/testblas/dsyr2k.go

// 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"
	"testing"

	"gonum.org/v1/gonum/blas"
	"gonum.org/v1/gonum/floats"
)

type Dsyr2ker interface {
	Dsyr2k(ul blas.Uplo, tA blas.Transpose, n, k int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int)
}

func Dsyr2kTest(t *testing.T, blasser Dsyr2ker) {
	for i, test := range []struct {
		ul    blas.Uplo
		tA    blas.Transpose
		n     int
		k     int
		alpha float64
		a     [][]float64
		b     [][]float64
		c     [][]float64
		beta  float64
		ans   [][]float64
	}{
		{
			ul:    blas.Upper,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 0,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{1, 2, 3},
				{0, 5, 6},
				{0, 0, 9},
			},
			beta: 2,
			ans: [][]float64{
				{2, 4, 6},
				{0, 10, 12},
				{0, 0, 18},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 0,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{1, 0, 0},
				{2, 3, 0},
				{4, 5, 6},
			},
			beta: 2,
			ans: [][]float64{
				{2, 0, 0},
				{4, 6, 0},
				{8, 10, 12},
			},
		},
		{
			ul:    blas.Upper,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{1, 2, 3},
				{0, 4, 5},
				{0, 0, 6},
			},
			beta: 2,
			ans: [][]float64{
				{140, 250, 360},
				{0, 410, 568},
				{0, 0, 774},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{1, 0, 0},
				{2, 4, 0},
				{3, 5, 6},
			},
			beta: 2,
			ans: [][]float64{
				{140, 0, 0},
				{250, 410, 0},
				{360, 568, 774},
			},
		},
		{
			ul:    blas.Upper,
			tA:    blas.Trans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 3, 5},
				{2, 4, 6},
			},
			b: [][]float64{
				{7, 9, 11},
				{8, 10, 12},
			},
			c: [][]float64{
				{1, 2, 3},
				{0, 4, 5},
				{0, 0, 6},
			},
			beta: 2,
			ans: [][]float64{
				{140, 250, 360},
				{0, 410, 568},
				{0, 0, 774},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.Trans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 3, 5},
				{2, 4, 6},
			},
			b: [][]float64{
				{7, 9, 11},
				{8, 10, 12},
			},
			c: [][]float64{
				{1, 0, 0},
				{2, 4, 0},
				{3, 5, 6},
			},
			beta: 2,
			ans: [][]float64{
				{140, 0, 0},
				{250, 410, 0},
				{360, 568, 774},
			},
		},

		{
			ul:    blas.Upper,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 0,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{math.NaN(), math.NaN(), math.NaN()},
				{math.Inf(-1), math.NaN(), math.NaN()},
				{math.Inf(-1), math.Inf(-1), math.NaN()},
			},
			ans: [][]float64{
				{0, 0, 0},
				{math.Inf(-1), 0, 0},
				{math.Inf(-1), math.Inf(-1), 0},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 0,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{math.NaN(), math.Inf(-1), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.NaN()},
			},
			ans: [][]float64{
				{0, math.Inf(-1), math.Inf(-1)},
				{0, 0, math.Inf(-1)},
				{0, 0, 0},
			},
		},
		{
			ul:    blas.Upper,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{math.NaN(), math.NaN(), math.NaN()},
				{math.Inf(-1), math.NaN(), math.NaN()},
				{math.Inf(-1), math.Inf(-1), math.NaN()},
			},
			ans: [][]float64{
				{138, 246, 354},
				{math.Inf(-1), 402, 558},
				{math.Inf(-1), math.Inf(-1), 762},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.NoTrans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 2},
				{3, 4},
				{5, 6},
			},
			b: [][]float64{
				{7, 8},
				{9, 10},
				{11, 12},
			},
			c: [][]float64{
				{math.NaN(), math.Inf(-1), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.NaN()},
			},
			ans: [][]float64{
				{138, math.Inf(-1), math.Inf(-1)},
				{246, 402, math.Inf(-1)},
				{354, 558, 762},
			},
		},
		{
			ul:    blas.Upper,
			tA:    blas.Trans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 3, 5},
				{2, 4, 6},
			},
			b: [][]float64{
				{7, 9, 11},
				{8, 10, 12},
			},
			c: [][]float64{
				{math.NaN(), math.NaN(), math.NaN()},
				{math.Inf(-1), math.NaN(), math.NaN()},
				{math.Inf(-1), math.Inf(-1), math.NaN()},
			},
			ans: [][]float64{
				{138, 246, 354},
				{math.Inf(-1), 402, 558},
				{math.Inf(-1), math.Inf(-1), 762},
			},
		},
		{
			ul:    blas.Lower,
			tA:    blas.Trans,
			n:     3,
			k:     2,
			alpha: 3,
			a: [][]float64{
				{1, 3, 5},
				{2, 4, 6},
			},
			b: [][]float64{
				{7, 9, 11},
				{8, 10, 12},
			},
			c: [][]float64{
				{math.NaN(), math.Inf(-1), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.Inf(-1)},
				{math.NaN(), math.NaN(), math.NaN()},
			},
			ans: [][]float64{
				{138, math.Inf(-1), math.Inf(-1)},
				{246, 402, math.Inf(-1)},
				{354, 558, 762},
			},
		},
	} {
		aFlat := flatten(test.a)
		bFlat := flatten(test.b)
		cFlat := flatten(test.c)
		ansFlat := flatten(test.ans)
		blasser.Dsyr2k(test.ul, test.tA, test.n, test.k, test.alpha, aFlat, len(test.a[0]), bFlat, len(test.b[0]), test.beta, cFlat, len(test.c[0]))
		if !floats.EqualApprox(ansFlat, cFlat, 1e-14) {
			t.Errorf("Case %v. Want %v, got %v.", i, ansFlat, cFlat)
		}
	}
}