/
dgemv.go
728 lines (695 loc) · 14.7 KB
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dgemv.go
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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 (
"testing"
"gonum.org/v1/gonum/blas"
)
type DgemvCase struct {
Name string
m int
n int
A [][]float64
tA blas.Transpose
x []float64
incX int
y []float64
incY int
Subcases []DgemvSubcase
}
type DgemvSubcase struct {
mulXNeg1 bool
mulYNeg1 bool
alpha float64
beta float64
ans []float64
}
var DgemvCases = []DgemvCase{
{
Name: "M_gt_N_Inc1_NoTrans",
tA: blas.NoTrans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3},
y: []float64{7, 8, 9, 10, 11},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 0, 0, 0, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 8, 9, 10, 11},
},
{
alpha: 1,
beta: 0,
ans: []float64{40.8, 43.9, 33, 9, 28},
},
{
alpha: 8,
beta: -6,
ans: []float64{284.4, 303.2, 210, 12, 158},
},
},
},
{
Name: "M_gt_N_Inc1_Trans",
tA: blas.Trans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3, -4, 5},
y: []float64{7, 8, 9},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 0, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 8, 9},
},
{
alpha: 1,
beta: 0,
ans: []float64{94.3, 40.2, 52.3},
},
{
alpha: 8,
beta: -6,
ans: []float64{712.4, 273.6, 364.4},
},
},
},
{
Name: "M_eq_N_Inc1_NoTrans",
tA: blas.NoTrans,
m: 3,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3},
y: []float64{7, 2, 2},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 0, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 2, 2},
},
{
alpha: 1,
beta: 0,
ans: []float64{40.8, 43.9, 33},
},
{
alpha: 8,
beta: -6,
ans: []float64{40.8*8 - 6*7, 43.9*8 - 6*2, 33*8 - 6*2},
},
},
},
{
Name: "M_eq_N_Inc1_Trans",
tA: blas.Trans,
m: 3,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3},
y: []float64{7, 2, 2},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{384.4, 261.6, 270.4},
},
},
},
{
Name: "M_lt_N_Inc1_NoTrans",
tA: blas.NoTrans,
m: 3,
n: 5,
A: [][]float64{
{4.1, 6.2, 8.1, 10, 7},
{9.6, 3.5, 9.1, -2, 9},
{10, 7, 3, 1, -5},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3, -7.6, 8.1},
y: []float64{7, 2, 2},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 0, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 2, 2},
},
{
alpha: 1,
beta: 0,
ans: []float64{21.5, 132, -15.1},
},
{
alpha: 8,
beta: -6,
ans: []float64{21.5*8 - 6*7, 132*8 - 6*2, -15.1*8 - 6*2},
},
},
},
{
Name: "M_lt_N_Inc1_Trans",
tA: blas.Trans,
m: 3,
n: 5,
A: [][]float64{
{4.1, 6.2, 8.1, 10, 7},
{9.6, 3.5, 9.1, -2, 9},
{10, 7, 3, 1, -5},
},
incX: 1,
incY: 1,
x: []float64{1, 2, 3},
y: []float64{7, 2, 2, -3, 5},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{384.4, 261.6, 270.4, 90, 50},
},
},
},
{
Name: "M_gt_N_Part1_NoTrans",
tA: blas.NoTrans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 1,
incY: 2,
x: []float64{1, 2, 3},
y: []float64{7, 100, 8, 101, 9, 102, 10, 103, 11},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 100, 0, 101, 0, 102, 0, 103, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 100, 8, 101, 9, 102, 10, 103, 11},
},
{
alpha: 1,
beta: 0,
ans: []float64{40.8, 100, 43.9, 101, 33, 102, 9, 103, 28},
},
{
alpha: 8,
beta: -6,
ans: []float64{284.4, 100, 303.2, 101, 210, 102, 12, 103, 158},
},
},
},
{
Name: "M_gt_N_Part1_Trans",
tA: blas.Trans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 1,
incY: 2,
x: []float64{1, 2, 3, -4, 5},
y: []float64{7, 100, 8, 101, 9},
Subcases: []DgemvSubcase{
{
alpha: 0,
beta: 0,
ans: []float64{0, 100, 0, 101, 0},
},
{
alpha: 0,
beta: 1,
ans: []float64{7, 100, 8, 101, 9},
},
{
alpha: 1,
beta: 0,
ans: []float64{94.3, 100, 40.2, 101, 52.3},
},
{
alpha: 8,
beta: -6,
ans: []float64{712.4, 100, 273.6, 101, 364.4},
},
},
},
{
Name: "M_gt_N_IncNot1_NoTrans",
tA: blas.NoTrans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3},
y: []float64{7, 2, 6, 8, -4, -5, 9, 1, 1, 10, 19, 22, 11},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{284.4, 2, 6, 303.2, -4, -5, 210, 1, 1, 12, 19, 22, 158},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{220.4, 2, 6, 311.2, -4, -5, 322, 1, 1, -4, 19, 22, 222},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{182, 2, 6, 24, -4, -5, 210, 1, 1, 291.2, 19, 22, 260.4},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{246, 2, 6, 8, -4, -5, 322, 1, 1, 299.2, 19, 22, 196.4},
},
},
},
{
Name: "M_gt_N_IncNot1_Trans",
tA: blas.Trans,
m: 5,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
{1, 1, 2},
{9, 2, 5},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3, 8, -3, 6, 5},
y: []float64{7, 2, 6, 8, -4, -5, 9},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{720.4, 2, 6, 281.6, -4, -5, 380.4},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{219.6, 2, 6, 316, -4, -5, 195.6},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{392.4, 2, 6, 281.6, -4, -5, 708.4},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{207.6, 2, 6, 316, -4, -5, 207.6},
},
},
},
{
Name: "M_eq_N_IncNot1_NoTrans",
tA: blas.NoTrans,
m: 3,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3},
y: []float64{7, 2, 6, 8, -4, -5, 9},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{284.4, 2, 6, 303.2, -4, -5, 210},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{220.4, 2, 6, 311.2, -4, -5, 322},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{222, 2, 6, 303.2, -4, -5, 272.4},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{334, 2, 6, 311.2, -4, -5, 208.4},
},
},
},
{
Name: "M_eq_N_IncNot1_Trans",
tA: blas.Trans,
m: 3,
n: 3,
A: [][]float64{
{4.1, 6.2, 8.1},
{9.6, 3.5, 9.1},
{10, 7, 3},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3},
y: []float64{7, 2, 6, 8, -4, -5, 9},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{384.4, 2, 6, 225.6, -4, -5, 228.4},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{290, 2, 6, 212.8, -4, -5, 310},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{240.4, 2, 6, 225.6, -4, -5, 372.4},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{322, 2, 6, 212.8, -4, -5, 278},
},
},
},
{
Name: "M_lt_N_IncNot1_NoTrans",
tA: blas.NoTrans,
m: 3,
n: 5,
A: [][]float64{
{4.1, 6.2, 8.1, 10, 11},
{9.6, 3.5, 9.1, -3, -2},
{10, 7, 3, -7, -4},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3, -2, -4, 8, -9},
y: []float64{7, 2, 6, 8, -4, -5, 9},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{-827.6, 2, 6, 543.2, -4, -5, 722},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{-93.2, 2, 6, -696.8, -4, -5, -1070},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{734, 2, 6, 543.2, -4, -5, -839.6},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{-1058, 2, 6, -696.8, -4, -5, -105.2},
},
},
},
{
Name: "M_lt_N_IncNot1_Trans",
tA: blas.Trans,
m: 3,
n: 5,
A: [][]float64{
{4.1, 6.2, 8.1, 10, 11},
{9.6, 3.5, 9.1, -3, -2},
{10, 7, 3, -7, -4},
},
incX: 2,
incY: 3,
x: []float64{1, 15, 2, 150, 3},
y: []float64{7, 2, 6, 8, -4, -5, 9, -4, -1, -9, 1, 1, 2},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{384.4, 2, 6, 225.6, -4, -5, 228.4, -4, -1, -82, 1, 1, -52},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{290, 2, 6, 212.8, -4, -5, 310, -4, -1, 190, 1, 1, 188},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{-82, 2, 6, -184, -4, -5, 228.4, -4, -1, 327.6, 1, 1, 414.4},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{158, 2, 6, 88, -4, -5, 310, -4, -1, 314.8, 1, 1, 320},
},
},
},
{
Name: "M_eq_N_Lg_IncNot1_Trans",
tA: blas.Trans,
m: 7,
n: 7,
A: [][]float64{
{4.1, 6.2, 8.1, 2.5, 3.3, 7.4, 9.3},
{9.6, 3.5, 9.1, 1.2, 5.4, 4.8, 8.7},
{10, 7, 3, 2, 4, 1, 12},
{9.6, 3.5, 9.1, 1.2, 5.4, 4.8, 8.7},
{4.1, 6.2, 8.1, 2.5, 3.3, 7.4, 9.3},
{10, 7, 3, 2, 4, 1, 12},
{9.6, 3.5, 9.1, 1.2, 5.4, 4.8, 8.7},
},
incX: 2,
incY: 3,
x: []float64{1, 105, 2, 150, 3, 200, 4, 300, 5, 600, 6, 700, 7},
y: []float64{7, 200, 600, 8, -400, -500, 9, 600, 700, 10, 500, 400, 11, 200, 300, 12, 100, 200, 13, 300, 400, 14},
Subcases: []DgemvSubcase{
{
alpha: 8,
beta: -6,
ans: []float64{1873.1999999999998, 200, 600, 1117.6, -400, -500, 1497.1999999999998, 600, 700, 328.8, 500, 400, 942, 200, 300, 854.4000000000001, 100, 200, 2137.2, 300, 400, 14},
},
{
mulXNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{1690.8, 200, 600, 1148, -400, -500, 1562.8, 600, 700, 357.6, 500, 400, 897.2, 200, 300, 998.4, 100, 200, 2103.6000000000004, 300, 400, 14},
},
{
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{2173.2, 200, 600, 878.4000000000001, -400, -500, 954, 600, 700, 328.8, 500, 400, 1485.1999999999998, 200, 300, 1093.6, 100, 200, 1837.1999999999998, 300, 400, 14},
},
{
mulXNeg1: true,
mulYNeg1: true,
alpha: 8,
beta: -6,
ans: []float64{2139.6, 200, 600, 1022.4, -400, -500, 909.2, 600, 700, 357.6, 500, 400, 1550.8, 200, 300, 1124, 100, 200, 1654.8, 300, 400, 14},
},
},
},
// TODO: A can be longer than mxn. Add cases where it is longer
// TODO: x and y can also be longer. Add tests for these
// TODO: Add tests for dimension mismatch
// TODO: Add places with a "submatrix view", where lda != m
}
type Dgemver interface {
Dgemv(tA blas.Transpose, m, n int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
}
func DgemvTest(t *testing.T, blasser Dgemver) {
for _, test := range DgemvCases {
for i, cas := range test.Subcases {
// Test that it passes with row-major
dgemvcomp(t, test, cas, i, blasser)
// Test the bad inputs
dgemvbad(t, test, cas, i, blasser)
}
}
}
func dgemvcomp(t *testing.T, test DgemvCase, cas DgemvSubcase, i int, blasser Dgemver) {
x := sliceCopy(test.x)
y := sliceCopy(test.y)
a := sliceOfSliceCopy(test.A)
aFlat := flatten(a)
lda := test.n
incX := test.incX
if cas.mulXNeg1 {
incX *= -1
}
incY := test.incY
if cas.mulYNeg1 {
incY *= -1
}
f := func() {
blasser.Dgemv(test.tA, test.m, test.n, cas.alpha, aFlat, lda, x, incX, cas.beta, y, incY)
}
if panics(f) {
t.Errorf("Test %v case %v: unexpected panic", test.Name, i)
if throwPanic {
blasser.Dgemv(test.tA, test.m, test.n, cas.alpha, aFlat, lda, x, incX, cas.beta, y, incY)
}
return
}
// Check that x and a are unchanged
if !dSliceEqual(x, test.x) {
t.Errorf("Test %v, case %v: x modified during call", test.Name, i)
}
aFlat2 := flatten(sliceOfSliceCopy(test.A))
if !dSliceEqual(aFlat2, aFlat) {
t.Errorf("Test %v, case %v: a modified during call", test.Name, i)
}
// Check that the answer matches
if !dSliceTolEqual(cas.ans, y) {
t.Errorf("Test %v, case %v: answer mismatch: Expected %v, Found %v", test.Name, i, cas.ans, y)
}
}
func dgemvbad(t *testing.T, test DgemvCase, cas DgemvSubcase, i int, blasser Dgemver) {
x := sliceCopy(test.x)
y := sliceCopy(test.y)
a := sliceOfSliceCopy(test.A)
aFlatRow := flatten(a)
ldaRow := test.n
f := func() {
blasser.Dgemv('X', test.m, test.n, cas.alpha, aFlatRow, ldaRow, x, test.incX, cas.beta, y, test.incY)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for bad transpose", test.Name, i)
}
f = func() {
blasser.Dgemv(test.tA, -2, test.n, cas.alpha, aFlatRow, ldaRow, x, test.incX, cas.beta, y, test.incY)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for m negative", test.Name, i)
}
f = func() {
blasser.Dgemv(test.tA, test.m, -4, cas.alpha, aFlatRow, ldaRow, x, test.incX, cas.beta, y, test.incY)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for n negative", test.Name, i)
}
f = func() {
blasser.Dgemv(test.tA, test.m, test.n, cas.alpha, aFlatRow, ldaRow, x, 0, cas.beta, y, test.incY)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for incX zero", test.Name, i)
}
f = func() {
blasser.Dgemv(test.tA, test.m, test.n, cas.alpha, aFlatRow, ldaRow, x, test.incX, cas.beta, y, 0)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for incY zero", test.Name, i)
}
f = func() {
blasser.Dgemv(test.tA, test.m, test.n, cas.alpha, aFlatRow, ldaRow-1, x, test.incX, cas.beta, y, test.incY)
}
if !panics(f) {
t.Errorf("Test %v case %v: no panic for lda too small row major", test.Name, i)
}
}