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// 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"
)
type Dgerer interface {
Dger(m, n int, alpha float64, x []float64, incX int, y []float64, incY int, a []float64, lda int)
}
func DgerTest(t *testing.T, blasser Dgerer) {
for _, test := range []struct {
name string
a [][]float64
m int
n int
x []float64
y []float64
incX int
incY int
want [][]float64
}{
{
name: "M gt N inc 1",
m: 5,
n: 3,
a: [][]float64{
{1.3, 2.4, 3.5},
{2.6, 2.8, 3.3},
{-1.3, -4.3, -9.7},
{8, 9, -10},
{-12, -14, -6},
},
x: []float64{-2, -3, 0, 1, 2},
y: []float64{-1.1, 5, 0},
incX: 1,
incY: 1,
want: [][]float64{{3.5, -7.6, 3.5}, {5.9, -12.2, 3.3}, {-1.3, -4.3, -9.7}, {6.9, 14, -10}, {-14.2, -4, -6}},
},
{
name: "M eq N inc 1",
m: 3,
n: 3,
a: [][]float64{
{1.3, 2.4, 3.5},
{2.6, 2.8, 3.3},
{-1.3, -4.3, -9.7},
},
x: []float64{-2, -3, 0},
y: []float64{-1.1, 5, 0},
incX: 1,
incY: 1,
want: [][]float64{{3.5, -7.6, 3.5}, {5.9, -12.2, 3.3}, {-1.3, -4.3, -9.7}},
},
{
name: "M lt N inc 1",
m: 3,
n: 6,
a: [][]float64{
{1.3, 2.4, 3.5, 4.8, 1.11, -9},
{2.6, 2.8, 3.3, -3.4, 6.2, -8.7},
{-1.3, -4.3, -9.7, -3.1, 8.9, 8.9},
},
x: []float64{-2, -3, 0},
y: []float64{-1.1, 5, 0, 9, 19, 22},
incX: 1,
incY: 1,
want: [][]float64{{3.5, -7.6, 3.5, -13.2, -36.89, -53}, {5.9, -12.2, 3.3, -30.4, -50.8, -74.7}, {-1.3, -4.3, -9.7, -3.1, 8.9, 8.9}},
},
{
name: "M gt N inc not 1",
m: 5,
n: 3,
a: [][]float64{
{1.3, 2.4, 3.5},
{2.6, 2.8, 3.3},
{-1.3, -4.3, -9.7},
{8, 9, -10},
{-12, -14, -6},
},
x: []float64{-2, -3, 0, 1, 2, 6, 0, 9, 7},
y: []float64{-1.1, 5, 0, 8, 7, -5, 7},
incX: 2,
incY: 3,
want: [][]float64{{3.5, -13.6, -10.5}, {2.6, 2.8, 3.3}, {-3.5, 11.7, 4.3}, {8, 9, -10}, {-19.700000000000003, 42, 43}},
},
{
name: "M eq N inc not 1",
m: 3,
n: 3,
a: [][]float64{
{1.3, 2.4, 3.5},
{2.6, 2.8, 3.3},
{-1.3, -4.3, -9.7},
},
x: []float64{-2, -3, 0, 8, 7, -9, 7, -6, 12, 6, 6, 6, -11},
y: []float64{-1.1, 5, 0, 0, 9, 8, 6},
incX: 4,
incY: 3,
want: [][]float64{{3.5, 2.4, -8.5}, {-5.1, 2.8, 45.3}, {-14.5, -4.3, 62.3}},
},
{
name: "M lt N inc not 1",
m: 3,
n: 6,
a: [][]float64{
{1.3, 2.4, 3.5, 4.8, 1.11, -9},
{2.6, 2.8, 3.3, -3.4, 6.2, -8.7},
{-1.3, -4.3, -9.7, -3.1, 8.9, 8.9},
},
x: []float64{-2, -3, 0, 0, 8, 0, 9, -3},
y: []float64{-1.1, 5, 0, 9, 19, 22, 11, -8.11, -9.22, 9.87, 7},
incX: 3,
incY: 2,
want: [][]float64{{3.5, 2.4, -34.5, -17.2, 19.55, -23}, {2.6, 2.8, 3.3, -3.4, 6.2, -8.7}, {-11.2, -4.3, 161.3, 95.9, -74.08, 71.9}},
},
{
name: "Y NaN element",
m: 1,
n: 1,
a: [][]float64{{1.3}},
x: []float64{1.3},
y: []float64{math.NaN()},
incX: 1,
incY: 1,
want: [][]float64{{math.NaN()}},
},
{
name: "M eq N large inc 1",
m: 7,
n: 7,
x: []float64{6.2, -5, 88.68, 43.4, -30.5, -40.2, 19.9},
y: []float64{1.5, 21.7, -28.7, -11.9, 18.1, 3.1, 21},
a: [][]float64{
{-20.5, 17.1, -8.4, -23.8, 3.9, 7.7, 6.25},
{2.9, -0.29, 25.6, -9.4, 36.5, 9.7, 2.3},
{4.1, -34.1, 10.3, 4.5, -42.05, 9.4, 4},
{19.2, 9.8, -32.7, 4.1, 4.4, -22.5, -7.8},
{3.6, -24.5, 21.7, 8.6, -13.82, 38.05, -2.29},
{39.4, -40.5, 7.9, -2.5, -7.7, 18.1, -25.5},
{-18.5, 43.2, 2.1, 30.1, 3.02, -31.1, -7.6},
},
incX: 1,
incY: 1,
want: [][]float64{
{-11.2, 151.64, -186.34, -97.58, 116.12, 26.92, 136.45},
{-4.6, -108.79, 169.1, 50.1, -54, -5.8, -102.7},
{137.12, 1890.256, -2534.816, -1050.792, 1563.058, 284.308, 1866.28},
{84.3, 951.58, -1278.28, -512.36, 789.94, 112.04, 903.6},
{-42.15, -686.35, 897.05, 371.55, -565.87, -56.5, -642.79},
{-20.9, -912.84, 1161.64, 475.88, -735.32, -106.52, -869.7},
{11.35, 475.03, -569.03, -206.71, 363.21, 30.59, 410.3},
},
},
{
name: "M eq N large inc not 1",
m: 7,
n: 7,
x: []float64{6.2, 100, 200, -5, 300, 400, 88.68, 100, 200, 43.4, 300, 400, -30.5, 100, 200, -40.2, 300, 400, 19.9},
y: []float64{1.5, 100, 200, 300, 21.7, 100, 200, 300, -28.7, 100, 200, 300, -11.9, 100, 200, 300, 18.1, 100, 200, 300, 3.1, 100, 200, 300, 21},
a: [][]float64{
{-20.5, 17.1, -8.4, -23.8, 3.9, 7.7, 6.25},
{2.9, -0.29, 25.6, -9.4, 36.5, 9.7, 2.3},
{4.1, -34.1, 10.3, 4.5, -42.05, 9.4, 4},
{19.2, 9.8, -32.7, 4.1, 4.4, -22.5, -7.8},
{3.6, -24.5, 21.7, 8.6, -13.82, 38.05, -2.29},
{39.4, -40.5, 7.9, -2.5, -7.7, 18.1, -25.5},
{-18.5, 43.2, 2.1, 30.1, 3.02, -31.1, -7.6},
},
incX: 3,
incY: 4,
want: [][]float64{
{-11.2, 151.64, -186.34, -97.58, 116.12, 26.92, 136.45},
{-4.6, -108.79, 169.1, 50.1, -54, -5.8, -102.7},
{137.12, 1890.256, -2534.816, -1050.792, 1563.058, 284.308, 1866.28},
{84.3, 951.58, -1278.28, -512.36, 789.94, 112.04, 903.6},
{-42.15, -686.35, 897.05, 371.55, -565.87, -56.5, -642.79},
{-20.9, -912.84, 1161.64, 475.88, -735.32, -106.52, -869.7},
{11.35, 475.03, -569.03, -206.71, 363.21, 30.59, 410.3},
},
},
} {
// TODO: Add tests where a is longer
// TODO: Add panic tests
// TODO: Add negative increment tests
x := sliceCopy(test.x)
y := sliceCopy(test.y)
a := sliceOfSliceCopy(test.a)
// Test with row major
alpha := 1.0
aFlat := flatten(a)
blasser.Dger(test.m, test.n, alpha, x, test.incX, y, test.incY, aFlat, test.n)
ans := unflatten(aFlat, test.m, test.n)
dgercomp(t, x, test.x, y, test.y, ans, test.want, test.name+" row maj")
// Test with different alpha
alpha = 4.0
aFlat = flatten(a)
blasser.Dger(test.m, test.n, alpha, x, test.incX, y, test.incY, aFlat, test.n)
ans = unflatten(aFlat, test.m, test.n)
trueCopy := sliceOfSliceCopy(test.want)
for i := range trueCopy {
for j := range trueCopy[i] {
trueCopy[i][j] = alpha*(trueCopy[i][j]-a[i][j]) + a[i][j]
}
}
dgercomp(t, x, test.x, y, test.y, ans, trueCopy, test.name+" row maj alpha")
}
}
func dgercomp(t *testing.T, x, xCopy, y, yCopy []float64, ans [][]float64, trueAns [][]float64, name string) {
if !dSliceEqual(x, xCopy) {
t.Errorf("case %v: x modified during call to dger\n%v\n%v", name, x, xCopy)
}
if !dSliceEqual(y, yCopy) {
t.Errorf("case %v: y modified during call to dger\n%v\n%v", name, y, yCopy)
}
for i := range ans {
if !dSliceTolEqual(ans[i], trueAns[i]) {
t.Errorf("case %v: answer mismatch at %v.\nExpected %v,\nFound %v", name, i, trueAns, ans)
break
}
}
}
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