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// Copyright ©2016 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 f64_test
import (
"testing"
"gonum.org/v1/gonum/floats/scalar"
. "gonum.org/v1/gonum/internal/asm/f64"
)
func TestL1Norm(t *testing.T) {
var src_gd float64 = 1
for j, v := range []struct {
want float64
x []float64
}{
{want: 0, x: []float64{}},
{want: 2, x: []float64{2}},
{want: 6, x: []float64{1, 2, 3}},
{want: 6, x: []float64{-1, -2, -3}},
{want: nan, x: []float64{nan}},
{want: 40, x: []float64{8, -8, 8, -8, 8}},
{want: 5, x: []float64{0, 1, 0, -1, 0, 1, 0, -1, 0, 1}},
} {
g_ln := 4 + j%2
v.x = guardVector(v.x, src_gd, g_ln)
src := v.x[g_ln : len(v.x)-g_ln]
ret := L1Norm(src)
if !scalar.Same(ret, v.want) {
t.Errorf("Test %d L1Norm error Got: %f Expected: %f", j, ret, v.want)
}
if !isValidGuard(v.x, src_gd, g_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.x[:g_ln], v.x[len(v.x)-g_ln:])
}
}
}
func TestL1NormInc(t *testing.T) {
var src_gd float64 = 1
for j, v := range []struct {
inc int
want float64
x []float64
}{
{inc: 2, want: 0, x: []float64{}},
{inc: 3, want: 2, x: []float64{2}},
{inc: 10, want: 6, x: []float64{1, 2, 3}},
{inc: 5, want: 6, x: []float64{-1, -2, -3}},
{inc: 3, want: nan, x: []float64{nan}},
{inc: 15, want: 40, x: []float64{8, -8, 8, -8, 8}},
{inc: 1, want: 5, x: []float64{0, 1, 0, -1, 0, 1, 0, -1, 0, 1}},
} {
g_ln, ln := 4+j%2, len(v.x)
v.x = guardIncVector(v.x, src_gd, v.inc, g_ln)
src := v.x[g_ln : len(v.x)-g_ln]
ret := L1NormInc(src, ln, v.inc)
if !scalar.Same(ret, v.want) {
t.Errorf("Test %d L1NormInc error Got: %f Expected: %f", j, ret, v.want)
}
checkValidIncGuard(t, v.x, src_gd, v.inc, g_ln)
}
}
func TestAdd(t *testing.T) {
var src_gd, dst_gd float64 = 1, 0
for j, v := range []struct {
dst, src, expect []float64
}{
{
dst: []float64{1},
src: []float64{0},
expect: []float64{1},
},
{
dst: []float64{1, 2, 3},
src: []float64{1},
expect: []float64{2, 2, 3},
},
{
dst: []float64{},
src: []float64{},
expect: []float64{},
},
{
dst: []float64{1},
src: []float64{nan},
expect: []float64{nan},
},
{
dst: []float64{8, 8, 8, 8, 8},
src: []float64{2, 4, nan, 8, 9},
expect: []float64{10, 12, nan, 16, 17},
},
{
dst: []float64{0, 1, 2, 3, 4},
src: []float64{-inf, 4, nan, 8, 9},
expect: []float64{-inf, 5, nan, 11, 13},
},
{
dst: make([]float64, 50)[1:49],
src: make([]float64, 50)[1:49],
expect: make([]float64, 50)[1:49],
},
} {
sg_ln, dg_ln := 4+j%2, 4+j%3
v.src, v.dst = guardVector(v.src, src_gd, sg_ln), guardVector(v.dst, dst_gd, dg_ln)
src, dst := v.src[sg_ln:len(v.src)-sg_ln], v.dst[dg_ln:len(v.dst)-dg_ln]
Add(dst, src)
for i := range v.expect {
if !scalar.Same(dst[i], v.expect[i]) {
t.Errorf("Test %d Add error at %d Got: %v Expected: %v", j, i, dst[i], v.expect[i])
}
}
if !isValidGuard(v.src, src_gd, sg_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.src[:sg_ln], v.src[len(v.src)-sg_ln:])
}
if !isValidGuard(v.dst, dst_gd, dg_ln) {
t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:dg_ln], v.dst[len(v.dst)-dg_ln:])
}
}
}
func TestAddConst(t *testing.T) {
var src_gd float64 = 0
for j, v := range []struct {
alpha float64
src, expect []float64
}{
{
alpha: 1,
src: []float64{0},
expect: []float64{1},
},
{
alpha: 5,
src: []float64{},
expect: []float64{},
},
{
alpha: 1,
src: []float64{nan},
expect: []float64{nan},
},
{
alpha: 8,
src: []float64{2, 4, nan, 8, 9},
expect: []float64{10, 12, nan, 16, 17},
},
{
alpha: inf,
src: []float64{-inf, 4, nan, 8, 9},
expect: []float64{nan, inf, nan, inf, inf},
},
} {
g_ln := 4 + j%2
v.src = guardVector(v.src, src_gd, g_ln)
src := v.src[g_ln : len(v.src)-g_ln]
AddConst(v.alpha, src)
for i := range v.expect {
if !scalar.Same(src[i], v.expect[i]) {
t.Errorf("Test %d AddConst error at %d Got: %v Expected: %v", j, i, src[i], v.expect[i])
}
}
if !isValidGuard(v.src, src_gd, g_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.src[:g_ln], v.src[len(v.src)-g_ln:])
}
}
}
func TestCumSum(t *testing.T) {
var src_gd, dst_gd float64 = -1, 0
for j, v := range []struct {
dst, src, expect []float64
}{
{
dst: []float64{},
src: []float64{},
expect: []float64{},
},
{
dst: []float64{0},
src: []float64{1},
expect: []float64{1},
},
{
dst: []float64{nan},
src: []float64{nan},
expect: []float64{nan},
},
{
dst: []float64{0, 0, 0},
src: []float64{1, 2, 3},
expect: []float64{1, 3, 6},
},
{
dst: []float64{0, 0, 0, 0},
src: []float64{1, 2, 3},
expect: []float64{1, 3, 6},
},
{
dst: []float64{0, 0, 0, 0},
src: []float64{1, 2, 3, 4},
expect: []float64{1, 3, 6, 10},
},
{
dst: []float64{1, nan, nan, 1, 1},
src: []float64{1, 1, nan, 1, 1},
expect: []float64{1, 2, nan, nan, nan},
},
{
dst: []float64{nan, 4, inf, -inf, 9},
src: []float64{inf, 4, nan, -inf, 9},
expect: []float64{inf, inf, nan, nan, nan},
},
{
dst: make([]float64, 16),
src: []float64{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1},
expect: []float64{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
},
} {
g_ln := 4 + j%2
v.src, v.dst = guardVector(v.src, src_gd, g_ln), guardVector(v.dst, dst_gd, g_ln)
src, dst := v.src[g_ln:len(v.src)-g_ln], v.dst[g_ln:len(v.dst)-g_ln]
ret := CumSum(dst, src)
for i := range v.expect {
if !scalar.Same(ret[i], v.expect[i]) {
t.Errorf("Test %d CumSum error at %d Got: %v Expected: %v", j, i, ret[i], v.expect[i])
}
if !scalar.Same(ret[i], dst[i]) {
t.Errorf("Test %d CumSum ret/dst mismatch %d Ret: %v Dst: %v", j, i, ret[i], dst[i])
}
}
if !isValidGuard(v.src, src_gd, g_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.src[:g_ln], v.src[len(v.src)-g_ln:])
}
if !isValidGuard(v.dst, dst_gd, g_ln) {
t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:g_ln], v.dst[len(v.dst)-g_ln:])
}
}
}
func TestCumProd(t *testing.T) {
var src_gd, dst_gd float64 = -1, 1
for j, v := range []struct {
dst, src, expect []float64
}{
{
dst: []float64{},
src: []float64{},
expect: []float64{},
},
{
dst: []float64{1},
src: []float64{1},
expect: []float64{1},
},
{
dst: []float64{nan},
src: []float64{nan},
expect: []float64{nan},
},
{
dst: []float64{0, 0, 0, 0},
src: []float64{1, 2, 3, 4},
expect: []float64{1, 2, 6, 24},
},
{
dst: []float64{0, 0, 0},
src: []float64{1, 2, 3},
expect: []float64{1, 2, 6},
},
{
dst: []float64{0, 0, 0, 0},
src: []float64{1, 2, 3},
expect: []float64{1, 2, 6},
},
{
dst: []float64{nan, 1, nan, 1, 0},
src: []float64{1, 1, nan, 1, 1},
expect: []float64{1, 1, nan, nan, nan},
},
{
dst: []float64{nan, 4, nan, -inf, 9},
src: []float64{inf, 4, nan, -inf, 9},
expect: []float64{inf, inf, nan, nan, nan},
},
{
dst: make([]float64, 18),
src: []float64{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2},
expect: []float64{2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536},
},
} {
sg_ln, dg_ln := 4+j%2, 4+j%3
v.src, v.dst = guardVector(v.src, src_gd, sg_ln), guardVector(v.dst, dst_gd, dg_ln)
src, dst := v.src[sg_ln:len(v.src)-sg_ln], v.dst[dg_ln:len(v.dst)-dg_ln]
ret := CumProd(dst, src)
for i := range v.expect {
if !scalar.Same(ret[i], v.expect[i]) {
t.Errorf("Test %d CumProd error at %d Got: %v Expected: %v", j, i, ret[i], v.expect[i])
}
if !scalar.Same(ret[i], dst[i]) {
t.Errorf("Test %d CumProd ret/dst mismatch %d Ret: %v Dst: %v", j, i, ret[i], dst[i])
}
}
if !isValidGuard(v.src, src_gd, sg_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.src[:sg_ln], v.src[len(v.src)-sg_ln:])
}
if !isValidGuard(v.dst, dst_gd, dg_ln) {
t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:dg_ln], v.dst[len(v.dst)-dg_ln:])
}
}
}
func TestDiv(t *testing.T) {
var src_gd, dst_gd float64 = -1, 0.5
for j, v := range []struct {
dst, src, expect []float64
}{
{
dst: []float64{1},
src: []float64{1},
expect: []float64{1},
},
{
dst: []float64{nan},
src: []float64{nan},
expect: []float64{nan},
},
{
dst: []float64{1, 2, 3, 4},
src: []float64{1, 2, 3, 4},
expect: []float64{1, 1, 1, 1},
},
{
dst: []float64{1, 2, 3, 4, 2, 4, 6, 8},
src: []float64{1, 2, 3, 4, 1, 2, 3, 4},
expect: []float64{1, 1, 1, 1, 2, 2, 2, 2},
},
{
dst: []float64{2, 4, 6},
src: []float64{1, 2, 3},
expect: []float64{2, 2, 2},
},
{
dst: []float64{0, 0, 0, 0},
src: []float64{1, 2, 3},
expect: []float64{0, 0, 0},
},
{
dst: []float64{nan, 1, nan, 1, 0, nan, 1, nan, 1, 0},
src: []float64{1, 1, nan, 1, 1, 1, 1, nan, 1, 1},
expect: []float64{nan, 1, nan, 1, 0, nan, 1, nan, 1, 0},
},
{
dst: []float64{inf, 4, nan, -inf, 9, inf, 4, nan, -inf, 9},
src: []float64{inf, 4, nan, -inf, 3, inf, 4, nan, -inf, 3},
expect: []float64{nan, 1, nan, nan, 3, nan, 1, nan, nan, 3},
},
} {
sg_ln, dg_ln := 4+j%2, 4+j%3
v.src, v.dst = guardVector(v.src, src_gd, sg_ln), guardVector(v.dst, dst_gd, dg_ln)
src, dst := v.src[sg_ln:len(v.src)-sg_ln], v.dst[dg_ln:len(v.dst)-dg_ln]
Div(dst, src)
for i := range v.expect {
if !scalar.Same(dst[i], v.expect[i]) {
t.Errorf("Test %d Div error at %d Got: %v Expected: %v", j, i, dst[i], v.expect[i])
}
}
if !isValidGuard(v.src, src_gd, sg_ln) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, v.src[:sg_ln], v.src[len(v.src)-sg_ln:])
}
if !isValidGuard(v.dst, dst_gd, dg_ln) {
t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:dg_ln], v.dst[len(v.dst)-dg_ln:])
}
}
}
func TestDivTo(t *testing.T) {
var dst_gd, x_gd, y_gd float64 = -1, 0.5, 0.25
for j, v := range []struct {
dst, x, y, expect []float64
}{
{
dst: []float64{1},
x: []float64{1},
y: []float64{1},
expect: []float64{1},
},
{
dst: []float64{1},
x: []float64{nan},
y: []float64{nan},
expect: []float64{nan},
},
{
dst: []float64{-2, -2, -2},
x: []float64{1, 2, 3},
y: []float64{1, 2, 3},
expect: []float64{1, 1, 1},
},
{
dst: []float64{0, 0, 0},
x: []float64{2, 4, 6},
y: []float64{1, 2, 3, 4},
expect: []float64{2, 2, 2},
},
{
dst: []float64{-1, -1, -1},
x: []float64{0, 0, 0},
y: []float64{1, 2, 3},
expect: []float64{0, 0, 0},
},
{
dst: []float64{inf, inf, inf, inf, inf, inf, inf, inf, inf, inf},
x: []float64{nan, 1, nan, 1, 0, nan, 1, nan, 1, 0},
y: []float64{1, 1, nan, 1, 1, 1, 1, nan, 1, 1},
expect: []float64{nan, 1, nan, 1, 0, nan, 1, nan, 1, 0},
},
{
dst: []float64{0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
x: []float64{inf, 4, nan, -inf, 9, inf, 4, nan, -inf, 9},
y: []float64{inf, 4, nan, -inf, 3, inf, 4, nan, -inf, 3},
expect: []float64{nan, 1, nan, nan, 3, nan, 1, nan, nan, 3},
},
} {
xg_ln, yg_ln := 4+j%2, 4+j%3
v.y, v.x = guardVector(v.y, y_gd, yg_ln), guardVector(v.x, x_gd, xg_ln)
y, x := v.y[yg_ln:len(v.y)-yg_ln], v.x[xg_ln:len(v.x)-xg_ln]
v.dst = guardVector(v.dst, dst_gd, xg_ln)
dst := v.dst[xg_ln : len(v.dst)-xg_ln]
ret := DivTo(dst, x, y)
for i := range v.expect {
if !scalar.Same(ret[i], v.expect[i]) {
t.Errorf("Test %d DivTo error at %d Got: %v Expected: %v", j, i, ret[i], v.expect[i])
}
if !scalar.Same(ret[i], dst[i]) {
t.Errorf("Test %d DivTo ret/dst mismatch %d Ret: %v Dst: %v", j, i, ret[i], dst[i])
}
}
if !isValidGuard(v.y, y_gd, yg_ln) {
t.Errorf("Test %d Guard violated in y vector %v %v", j, v.y[:yg_ln], v.y[len(v.y)-yg_ln:])
}
if !isValidGuard(v.x, x_gd, xg_ln) {
t.Errorf("Test %d Guard violated in x vector %v %v", j, v.x[:xg_ln], v.x[len(v.x)-xg_ln:])
}
if !isValidGuard(v.dst, dst_gd, xg_ln) {
t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:xg_ln], v.dst[len(v.dst)-xg_ln:])
}
}
}
func TestL1Dist(t *testing.T) {
var t_gd, s_gd float64 = -inf, inf
for j, v := range []struct {
s, t []float64
expect float64
}{
{
s: []float64{1},
t: []float64{1},
expect: 0,
},
{
s: []float64{nan},
t: []float64{nan},
expect: nan,
},
{
s: []float64{1, 2, 3, 4},
t: []float64{1, 2, 3, 4},
expect: 0,
},
{
s: []float64{2, 4, 6},
t: []float64{1, 2, 3, 4},
expect: 6,
},
{
s: []float64{0, 0, 0},
t: []float64{1, 2, 3},
expect: 6,
},
{
s: []float64{0, -4, -10},
t: []float64{1, 2, 3},
expect: 20,
},
{
s: []float64{0, 1, 0, 1, 0},
t: []float64{1, 1, inf, 1, 1},
expect: inf,
},
{
s: []float64{inf, 4, nan, -inf, 9},
t: []float64{inf, 4, nan, -inf, 3},
expect: nan,
},
} {
sg_ln, tg_ln := 4+j%2, 4+j%3
v.s, v.t = guardVector(v.s, s_gd, sg_ln), guardVector(v.t, t_gd, tg_ln)
s_lc, t_lc := v.s[sg_ln:len(v.s)-sg_ln], v.t[tg_ln:len(v.t)-tg_ln]
ret := L1Dist(s_lc, t_lc)
if !scalar.Same(ret, v.expect) {
t.Errorf("Test %d L1Dist error Got: %f Expected: %f", j, ret, v.expect)
}
if !isValidGuard(v.s, s_gd, sg_ln) {
t.Errorf("Test %d Guard violated in s vector %v %v", j, v.s[:sg_ln], v.s[len(v.s)-sg_ln:])
}
if !isValidGuard(v.t, t_gd, tg_ln) {
t.Errorf("Test %d Guard violated in t vector %v %v", j, v.t[:tg_ln], v.t[len(v.t)-tg_ln:])
}
}
}
func TestLinfDist(t *testing.T) {
var t_gd, s_gd float64 = 0, inf
for j, v := range []struct {
s, t []float64
expect float64
}{
{
s: []float64{},
t: []float64{},
expect: 0,
},
{
s: []float64{1},
t: []float64{1},
expect: 0,
},
{
s: []float64{nan},
t: []float64{nan},
expect: nan,
},
{
s: []float64{1, 2, 3, 4},
t: []float64{1, 2, 3, 4},
expect: 0,
},
{
s: []float64{2, 4, 6},
t: []float64{1, 2, 3, 4},
expect: 3,
},
{
s: []float64{0, 0, 0},
t: []float64{1, 2, 3},
expect: 3,
},
{
s: []float64{0, 1, 0, 1, 0},
t: []float64{1, 1, inf, 1, 1},
expect: inf,
},
{
s: []float64{inf, 4, nan, -inf, 9},
t: []float64{inf, 4, nan, -inf, 3},
expect: 6,
},
} {
sg_ln, tg_ln := 4+j%2, 4+j%3
v.s, v.t = guardVector(v.s, s_gd, sg_ln), guardVector(v.t, t_gd, tg_ln)
s_lc, t_lc := v.s[sg_ln:len(v.s)-sg_ln], v.t[tg_ln:len(v.t)-tg_ln]
ret := LinfDist(s_lc, t_lc)
if !scalar.Same(ret, v.expect) {
t.Errorf("Test %d LinfDist error Got: %f Expected: %f", j, ret, v.expect)
}
if !isValidGuard(v.s, s_gd, sg_ln) {
t.Errorf("Test %d Guard violated in s vector %v %v", j, v.s[:sg_ln], v.s[len(v.s)-sg_ln:])
}
if !isValidGuard(v.t, t_gd, tg_ln) {
t.Errorf("Test %d Guard violated in t vector %v %v", j, v.t[:tg_ln], v.t[len(v.t)-tg_ln:])
}
}
}
func TestSum(t *testing.T) {
var srcGd float64 = -1
for j, v := range []struct {
src []float64
expect float64
}{
{
src: []float64{},
expect: 0,
},
{
src: []float64{1},
expect: 1,
},
{
src: []float64{nan},
expect: nan,
},
{
src: []float64{1, 2, 3},
expect: 6,
},
{
src: []float64{1, -4, 3},
expect: 0,
},
{
src: []float64{1, 2, 3, 4},
expect: 10,
},
{
src: []float64{1, 1, nan, 1, 1},
expect: nan,
},
{
src: []float64{inf, 4, nan, -inf, 9},
expect: nan,
},
{
src: []float64{1, 1, 1, 1, 9, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 1},
expect: 29,
},
{
src: []float64{1, 1, 1, 1, 9, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 11, 1, 1, 1, 9, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 1},
expect: 67,
},
} {
gdLn := 4 + j%2
gsrc := guardVector(v.src, srcGd, gdLn)
src := gsrc[gdLn : len(gsrc)-gdLn]
ret := Sum(src)
if !scalar.Same(ret, v.expect) {
t.Errorf("Test %d Sum error Got: %v Expected: %v", j, ret, v.expect)
}
if !isValidGuard(gsrc, srcGd, gdLn) {
t.Errorf("Test %d Guard violated in src vector %v %v", j, gsrc[:gdLn], gsrc[len(gsrc)-gdLn:])
}
}
}