+++ /dev/null
-// Copyright ©2015 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 blas64
-
-import (
- "math"
- "testing"
-
- "gonum.org/v1/gonum/blas"
-)
-
-func newGeneralFrom(a GeneralCols) General {
- t := General{
- Rows: a.Rows,
- Cols: a.Cols,
- Stride: a.Cols,
- Data: make([]float64, a.Rows*a.Cols),
- }
- t.From(a)
- return t
-}
-
-func (m General) dims() (r, c int) { return m.Rows, m.Cols }
-func (m General) at(i, j int) float64 { return m.Data[i*m.Stride+j] }
-
-func newGeneralColsFrom(a General) GeneralCols {
- t := GeneralCols{
- Rows: a.Rows,
- Cols: a.Cols,
- Stride: a.Rows,
- Data: make([]float64, a.Rows*a.Cols),
- }
- t.From(a)
- return t
-}
-
-func (m GeneralCols) dims() (r, c int) { return m.Rows, m.Cols }
-func (m GeneralCols) at(i, j int) float64 { return m.Data[i+j*m.Stride] }
-
-type general interface {
- dims() (r, c int)
- at(i, j int) float64
-}
-
-func sameGeneral(a, b general) bool {
- ar, ac := a.dims()
- br, bc := b.dims()
- if ar != br || ac != bc {
- return false
- }
- for i := 0; i < ar; i++ {
- for j := 0; j < ac; j++ {
- if a.at(i, j) != b.at(i, j) || math.IsNaN(a.at(i, j)) != math.IsNaN(b.at(i, j)) {
- return false
- }
- }
- }
- return true
-}
-
-var generalTests = []General{
- {Rows: 2, Cols: 3, Stride: 3, Data: []float64{
- 1, 2, 3,
- 4, 5, 6,
- }},
- {Rows: 3, Cols: 2, Stride: 2, Data: []float64{
- 1, 2,
- 3, 4,
- 5, 6,
- }},
- {Rows: 3, Cols: 3, Stride: 3, Data: []float64{
- 1, 2, 3,
- 4, 5, 6,
- 7, 8, 9,
- }},
- {Rows: 2, Cols: 3, Stride: 5, Data: []float64{
- 1, 2, 3, 0, 0,
- 4, 5, 6, 0, 0,
- }},
- {Rows: 3, Cols: 2, Stride: 5, Data: []float64{
- 1, 2, 0, 0, 0,
- 3, 4, 0, 0, 0,
- 5, 6, 0, 0, 0,
- }},
- {Rows: 3, Cols: 3, Stride: 5, Data: []float64{
- 1, 2, 3, 0, 0,
- 4, 5, 6, 0, 0,
- 7, 8, 9, 0, 0,
- }},
-}
-
-func TestConvertGeneral(t *testing.T) {
- for _, test := range generalTests {
- colmajor := newGeneralColsFrom(test)
- if !sameGeneral(colmajor, test) {
- t.Errorf("unexpected result for row major to col major conversion:\n\tgot: %#v\n\tfrom:%#v",
- colmajor, test)
- }
- rowmajor := newGeneralFrom(colmajor)
- if !sameGeneral(rowmajor, test) {
- t.Errorf("unexpected result for col major to row major conversion:\n\tgot: %#v\n\twant:%#v",
- rowmajor, test)
- }
- }
-}
-
-func newTriangularFrom(a TriangularCols) Triangular {
- t := Triangular{
- N: a.N,
- Stride: a.N,
- Data: make([]float64, a.N*a.N),
- Diag: a.Diag,
- Uplo: a.Uplo,
- }
- t.From(a)
- return t
-}
-
-func (m Triangular) n() int { return m.N }
-func (m Triangular) at(i, j int) float64 {
- if m.Diag == blas.Unit && i == j {
- return 1
- }
- if m.Uplo == blas.Lower && i < j && j < m.N {
- return 0
- }
- if m.Uplo == blas.Upper && i > j {
- return 0
- }
- return m.Data[i*m.Stride+j]
-}
-func (m Triangular) uplo() blas.Uplo { return m.Uplo }
-func (m Triangular) diag() blas.Diag { return m.Diag }
-
-func newTriangularColsFrom(a Triangular) TriangularCols {
- t := TriangularCols{
- N: a.N,
- Stride: a.N,
- Data: make([]float64, a.N*a.N),
- Diag: a.Diag,
- Uplo: a.Uplo,
- }
- t.From(a)
- return t
-}
-
-func (m TriangularCols) n() int { return m.N }
-func (m TriangularCols) at(i, j int) float64 {
- if m.Diag == blas.Unit && i == j {
- return 1
- }
- if m.Uplo == blas.Lower && i < j {
- return 0
- }
- if m.Uplo == blas.Upper && i > j && i < m.N {
- return 0
- }
- return m.Data[i+j*m.Stride]
-}
-func (m TriangularCols) uplo() blas.Uplo { return m.Uplo }
-func (m TriangularCols) diag() blas.Diag { return m.Diag }
-
-type triangular interface {
- n() int
- at(i, j int) float64
- uplo() blas.Uplo
- diag() blas.Diag
-}
-
-func sameTriangular(a, b triangular) bool {
- an := a.n()
- bn := b.n()
- if an != bn {
- return false
- }
- for i := 0; i < an; i++ {
- for j := 0; j < an; j++ {
- if a.at(i, j) != b.at(i, j) || math.IsNaN(a.at(i, j)) != math.IsNaN(b.at(i, j)) {
- return false
- }
- }
- }
- return true
-}
-
-var triangularTests = []Triangular{
- {N: 3, Stride: 3, Data: []float64{
- 1, 2, 3,
- 4, 5, 6,
- 7, 8, 9,
- }},
- {N: 3, Stride: 5, Data: []float64{
- 1, 2, 3, 0, 0,
- 4, 5, 6, 0, 0,
- 7, 8, 9, 0, 0,
- }},
-}
-
-func TestConvertTriangular(t *testing.T) {
- for _, test := range triangularTests {
- for _, uplo := range []blas.Uplo{blas.Upper, blas.Lower, blas.All} {
- for _, diag := range []blas.Diag{blas.Unit, blas.NonUnit} {
- test.Uplo = uplo
- test.Diag = diag
- colmajor := newTriangularColsFrom(test)
- if !sameTriangular(colmajor, test) {
- t.Errorf("unexpected result for row major to col major conversion:\n\tgot: %#v\n\tfrom:%#v",
- colmajor, test)
- }
- rowmajor := newTriangularFrom(colmajor)
- if !sameTriangular(rowmajor, test) {
- t.Errorf("unexpected result for col major to row major conversion:\n\tgot: %#v\n\twant:%#v",
- rowmajor, test)
- }
- }
- }
- }
-}
-
-func newBandFrom(a BandCols) Band {
- t := Band{
- Rows: a.Rows,
- Cols: a.Cols,
- KL: a.KL,
- KU: a.KU,
- Stride: a.KL + a.KU + 1,
- Data: make([]float64, a.Rows*(a.KL+a.KU+1)),
- }
- for i := range t.Data {
- t.Data[i] = math.NaN()
- }
- t.From(a)
- return t
-}
-
-func (m Band) dims() (r, c int) { return m.Rows, m.Cols }
-func (m Band) at(i, j int) float64 {
- pj := j + m.KL - i
- if pj < 0 || m.KL+m.KU+1 <= pj {
- return 0
- }
- return m.Data[i*m.Stride+pj]
-}
-func (m Band) bandwidth() (kl, ku int) { return m.KL, m.KU }
-
-func newBandColsFrom(a Band) BandCols {
- t := BandCols{
- Rows: a.Rows,
- Cols: a.Cols,
- KL: a.KL,
- KU: a.KU,
- Stride: a.KL + a.KU + 1,
- Data: make([]float64, a.Cols*(a.KL+a.KU+1)),
- }
- for i := range t.Data {
- t.Data[i] = math.NaN()
- }
- t.From(a)
- return t
-}
-
-func (m BandCols) dims() (r, c int) { return m.Rows, m.Cols }
-func (m BandCols) at(i, j int) float64 {
- pj := i + m.KU - j
- if pj < 0 || m.KL+m.KU+1 <= pj {
- return 0
- }
- return m.Data[j*m.Stride+pj]
-}
-func (m BandCols) bandwidth() (kl, ku int) { return m.KL, m.KU }
-
-type band interface {
- dims() (r, c int)
- at(i, j int) float64
- bandwidth() (kl, ku int)
-}
-
-func sameBand(a, b band) bool {
- ar, ac := a.dims()
- br, bc := b.dims()
- if ar != br || ac != bc {
- return false
- }
- akl, aku := a.bandwidth()
- bkl, bku := b.bandwidth()
- if akl != bkl || aku != bku {
- return false
- }
- for i := 0; i < ar; i++ {
- for j := 0; j < ac; j++ {
- if a.at(i, j) != b.at(i, j) || math.IsNaN(a.at(i, j)) != math.IsNaN(b.at(i, j)) {
- return false
- }
- }
- }
- return true
-}
-
-var bandTests = []Band{
- {Rows: 3, Cols: 4, KL: 0, KU: 0, Stride: 1, Data: []float64{
- 1,
- 2,
- 3,
- }},
- {Rows: 3, Cols: 3, KL: 0, KU: 0, Stride: 1, Data: []float64{
- 1,
- 2,
- 3,
- }},
- {Rows: 4, Cols: 3, KL: 0, KU: 0, Stride: 1, Data: []float64{
- 1,
- 2,
- 3,
- }},
- {Rows: 4, Cols: 3, KL: 0, KU: 1, Stride: 2, Data: []float64{
- 1, 2,
- 3, 4,
- 5, 6,
- }},
- {Rows: 3, Cols: 4, KL: 0, KU: 1, Stride: 2, Data: []float64{
- 1, 2,
- 3, 4,
- 5, 6,
- }},
- {Rows: 3, Cols: 4, KL: 1, KU: 1, Stride: 3, Data: []float64{
- -1, 2, 3,
- 4, 5, 6,
- 7, 8, 9,
- }},
- {Rows: 4, Cols: 3, KL: 1, KU: 1, Stride: 3, Data: []float64{
- -1, 2, 3,
- 4, 5, 6,
- 7, 8, -2,
- 9, -3, -4,
- }},
- {Rows: 3, Cols: 4, KL: 2, KU: 1, Stride: 4, Data: []float64{
- -2, -1, 3, 4,
- -3, 5, 6, 7,
- 8, 9, 10, 11,
- }},
- {Rows: 4, Cols: 3, KL: 2, KU: 1, Stride: 4, Data: []float64{
- -2, -1, 2, 3,
- -3, 4, 5, 6,
- 7, 8, 9, -4,
- 10, 11, -5, -6,
- }},
-
- {Rows: 3, Cols: 4, KL: 0, KU: 0, Stride: 5, Data: []float64{
- 1, 0, 0, 0, 0,
- 2, 0, 0, 0, 0,
- 3, 0, 0, 0, 0,
- }},
- {Rows: 3, Cols: 3, KL: 0, KU: 0, Stride: 5, Data: []float64{
- 1, 0, 0, 0, 0,
- 2, 0, 0, 0, 0,
- 3, 0, 0, 0, 0,
- }},
- {Rows: 4, Cols: 3, KL: 0, KU: 0, Stride: 5, Data: []float64{
- 1, 0, 0, 0, 0,
- 2, 0, 0, 0, 0,
- 3, 0, 0, 0, 0,
- }},
- {Rows: 4, Cols: 3, KL: 0, KU: 1, Stride: 5, Data: []float64{
- 1, 2, 0, 0, 0,
- 3, 4, 0, 0, 0,
- 5, 6, 0, 0, 0,
- }},
- {Rows: 3, Cols: 4, KL: 0, KU: 1, Stride: 5, Data: []float64{
- 1, 2, 0, 0, 0,
- 3, 4, 0, 0, 0,
- 5, 6, 0, 0, 0,
- }},
- {Rows: 3, Cols: 4, KL: 1, KU: 1, Stride: 5, Data: []float64{
- -1, 2, 3, 0, 0,
- 4, 5, 6, 0, 0,
- 7, 8, 9, 0, 0,
- }},
- {Rows: 4, Cols: 3, KL: 1, KU: 1, Stride: 5, Data: []float64{
- -1, 2, 3, 0, 0,
- 4, 5, 6, 0, 0,
- 7, 8, -2, 0, 0,
- 9, -3, -4, 0, 0,
- }},
- {Rows: 3, Cols: 4, KL: 2, KU: 1, Stride: 5, Data: []float64{
- -2, -1, 3, 4, 0,
- -3, 5, 6, 7, 0,
- 8, 9, 10, 11, 0,
- }},
- {Rows: 4, Cols: 3, KL: 2, KU: 1, Stride: 5, Data: []float64{
- -2, -1, 2, 3, 0,
- -3, 4, 5, 6, 0,
- 7, 8, 9, -4, 0,
- 10, 11, -5, -6, 0,
- }},
-}
-
-func TestConvertBand(t *testing.T) {
- for _, test := range bandTests {
- colmajor := newBandColsFrom(test)
- if !sameBand(colmajor, test) {
- t.Errorf("unexpected result for row major to col major conversion:\n\tgot: %#v\n\tfrom:%#v",
- colmajor, test)
- }
- rowmajor := newBandFrom(colmajor)
- if !sameBand(rowmajor, test) {
- t.Errorf("unexpected result for col major to row major conversion:\n\tgot: %#v\n\twant:%#v",
- rowmajor, test)
- }
- }
-}
-
-func newTriangularBandFrom(a TriangularBandCols) TriangularBand {
- t := TriangularBand{
- N: a.N,
- K: a.K,
- Stride: a.K + 1,
- Data: make([]float64, a.N*(a.K+1)),
- Uplo: a.Uplo,
- Diag: a.Diag,
- }
- for i := range t.Data {
- t.Data[i] = math.NaN()
- }
- t.From(a)
- return t
-}
-
-func (m TriangularBand) n() (n int) { return m.N }
-func (m TriangularBand) at(i, j int) float64 {
- if m.Diag == blas.Unit && i == j {
- return 1
- }
- b := Band{
- Rows: m.N, Cols: m.N,
- Stride: m.Stride,
- Data: m.Data,
- }
- switch m.Uplo {
- default:
- panic("blas64: bad BLAS uplo")
- case blas.Upper:
- if i > j {
- return 0
- }
- b.KU = m.K
- case blas.Lower:
- if i < j {
- return 0
- }
- b.KL = m.K
- }
- return b.at(i, j)
-}
-func (m TriangularBand) bandwidth() (k int) { return m.K }
-func (m TriangularBand) uplo() blas.Uplo { return m.Uplo }
-func (m TriangularBand) diag() blas.Diag { return m.Diag }
-
-func newTriangularBandColsFrom(a TriangularBand) TriangularBandCols {
- t := TriangularBandCols{
- N: a.N,
- K: a.K,
- Stride: a.K + 1,
- Data: make([]float64, a.N*(a.K+1)),
- Uplo: a.Uplo,
- Diag: a.Diag,
- }
- for i := range t.Data {
- t.Data[i] = math.NaN()
- }
- t.From(a)
- return t
-}
-
-func (m TriangularBandCols) n() (n int) { return m.N }
-func (m TriangularBandCols) at(i, j int) float64 {
- if m.Diag == blas.Unit && i == j {
- return 1
- }
- b := BandCols{
- Rows: m.N, Cols: m.N,
- Stride: m.Stride,
- Data: m.Data,
- }
- switch m.Uplo {
- default:
- panic("blas64: bad BLAS uplo")
- case blas.Upper:
- if i > j {
- return 0
- }
- b.KU = m.K
- case blas.Lower:
- if i < j {
- return 0
- }
- b.KL = m.K
- }
- return b.at(i, j)
-}
-func (m TriangularBandCols) bandwidth() (k int) { return m.K }
-func (m TriangularBandCols) uplo() blas.Uplo { return m.Uplo }
-func (m TriangularBandCols) diag() blas.Diag { return m.Diag }
-
-type triangularBand interface {
- n() (n int)
- at(i, j int) float64
- bandwidth() (k int)
- uplo() blas.Uplo
- diag() blas.Diag
-}
-
-func sameTriangularBand(a, b triangularBand) bool {
- an := a.n()
- bn := b.n()
- if an != bn {
- return false
- }
- if a.uplo() != b.uplo() {
- return false
- }
- if a.diag() != b.diag() {
- return false
- }
- ak := a.bandwidth()
- bk := b.bandwidth()
- if ak != bk {
- return false
- }
- for i := 0; i < an; i++ {
- for j := 0; j < an; j++ {
- if a.at(i, j) != b.at(i, j) || math.IsNaN(a.at(i, j)) != math.IsNaN(b.at(i, j)) {
- return false
- }
- }
- }
- return true
-}
-
-var triangularBandTests = []TriangularBand{
- {N: 3, K: 0, Stride: 1, Uplo: blas.Upper, Data: []float64{
- 1,
- 2,
- 3,
- }},
- {N: 3, K: 0, Stride: 1, Uplo: blas.Lower, Data: []float64{
- 1,
- 2,
- 3,
- }},
- {N: 3, K: 1, Stride: 2, Uplo: blas.Upper, Data: []float64{
- 1, 2,
- 3, 4,
- 5, -1,
- }},
- {N: 3, K: 1, Stride: 2, Uplo: blas.Lower, Data: []float64{
- -1, 1,
- 2, 3,
- 4, 5,
- }},
- {N: 3, K: 2, Stride: 3, Uplo: blas.Upper, Data: []float64{
- 1, 2, 3,
- 4, 5, -1,
- 6, -2, -3,
- }},
- {N: 3, K: 2, Stride: 3, Uplo: blas.Lower, Data: []float64{
- -2, -1, 1,
- -3, 2, 4,
- 3, 5, 6,
- }},
-
- {N: 3, K: 0, Stride: 5, Uplo: blas.Upper, Data: []float64{
- 1, 0, 0, 0, 0,
- 2, 0, 0, 0, 0,
- 3, 0, 0, 0, 0,
- }},
- {N: 3, K: 0, Stride: 5, Uplo: blas.Lower, Data: []float64{
- 1, 0, 0, 0, 0,
- 2, 0, 0, 0, 0,
- 3, 0, 0, 0, 0,
- }},
- {N: 3, K: 1, Stride: 5, Uplo: blas.Upper, Data: []float64{
- 1, 2, 0, 0, 0,
- 3, 4, 0, 0, 0,
- 5, -1, 0, 0, 0,
- }},
- {N: 3, K: 1, Stride: 5, Uplo: blas.Lower, Data: []float64{
- -1, 1, 0, 0, 0,
- 2, 3, 0, 0, 0,
- 4, 5, 0, 0, 0,
- }},
- {N: 3, K: 2, Stride: 5, Uplo: blas.Upper, Data: []float64{
- 1, 2, 3, 0, 0,
- 4, 5, -1, 0, 0,
- 6, -2, -3, 0, 0,
- }},
- {N: 3, K: 2, Stride: 5, Uplo: blas.Lower, Data: []float64{
- -2, -1, 1, 0, 0,
- -3, 2, 4, 0, 0,
- 3, 5, 6, 0, 0,
- }},
-}
-
-func TestConvertTriBand(t *testing.T) {
- for _, test := range triangularBandTests {
- colmajor := newTriangularBandColsFrom(test)
- if !sameTriangularBand(colmajor, test) {
- t.Errorf("unexpected result for row major to col major conversion:\n\tgot: %#v\n\tfrom:%#v",
- colmajor, test)
- }
- rowmajor := newTriangularBandFrom(colmajor)
- if !sameTriangularBand(rowmajor, test) {
- t.Errorf("unexpected result for col major to row major conversion:\n\tgot: %#v\n\twant:%#v",
- rowmajor, test)
- }
- }
-}
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