mirror of
https://github.com/gonum/gonum.git
synced 2025-10-06 07:37:03 +08:00
3199e478a1
Migration to the new API can be achieved with this rsc.io/rf script:
```
rf ex {
import "gonum.org/v1/gonum/spatial/r3";
var p,q r3.Vec;
var f float64;
p.Add(q) -> r3.Add(p, q);
p.Sub(q) -> r3.Sub(p, q);
p.Scale(f) -> r3.Scale(f, p);
p.Dot(q) -> r3.Dot(p, q);
p.Cross(q) -> r3.Cross(p, q);
p.Rotate(f, q) -> r3.Rotate(p, f, q);
}
```
Updates gonum/gonum#1553.
269 lines
6.4 KiB
Go
269 lines
6.4 KiB
Go
// Copyright ©2020 The Gonum Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package r3
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import (
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"math"
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"testing"
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"gonum.org/v1/gonum/floats/scalar"
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)
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func TestAdd(t *testing.T) {
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for _, test := range []struct {
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v1, v2 Vec
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want Vec
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}{
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{Vec{0, 0, 0}, Vec{0, 0, 0}, Vec{0, 0, 0}},
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{Vec{1, 0, 0}, Vec{0, 0, 0}, Vec{1, 0, 0}},
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{Vec{1, 2, 3}, Vec{4, 5, 7}, Vec{5, 7, 10}},
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{Vec{1, -3, 5}, Vec{1, -6, -6}, Vec{2, -9, -1}},
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{Vec{1, 2, 3}, Vec{-1, -2, -3}, Vec{}},
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} {
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got := Add(test.v1, test.v2)
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if got != test.want {
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t.Errorf(
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"error: %v + %v: got=%v, want=%v",
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test.v1, test.v2, got, test.want,
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)
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}
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}
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}
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func TestSub(t *testing.T) {
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for _, test := range []struct {
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v1, v2 Vec
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want Vec
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}{
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{Vec{0, 0, 0}, Vec{0, 0, 0}, Vec{0, 0, 0}},
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{Vec{1, 0, 0}, Vec{0, 0, 0}, Vec{1, 0, 0}},
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{Vec{1, 2, 3}, Vec{4, 5, 7}, Vec{-3, -3, -4}},
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{Vec{1, -3, 5}, Vec{1, -6, -6}, Vec{0, 3, 11}},
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{Vec{1, 2, 3}, Vec{1, 2, 3}, Vec{}},
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} {
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got := Sub(test.v1, test.v2)
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if got != test.want {
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t.Errorf(
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"error: %v - %v: got=%v, want=%v",
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test.v1, test.v2, got, test.want,
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)
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}
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}
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}
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func TestScale(t *testing.T) {
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for _, test := range []struct {
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a float64
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v Vec
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want Vec
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}{
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{3, Vec{0, 0, 0}, Vec{0, 0, 0}},
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{1, Vec{1, 0, 0}, Vec{1, 0, 0}},
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{0, Vec{1, 0, 0}, Vec{0, 0, 0}},
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{3, Vec{1, 0, 0}, Vec{3, 0, 0}},
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{-1, Vec{1, -3, 5}, Vec{-1, 3, -5}},
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{2, Vec{1, -3, 5}, Vec{2, -6, 10}},
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{10, Vec{1, 2, 3}, Vec{10, 20, 30}},
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} {
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got := Scale(test.a, test.v)
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if got != test.want {
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t.Errorf(
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"error: %v * %v: got=%v, want=%v",
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test.a, test.v, got, test.want)
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}
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}
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}
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func TestDot(t *testing.T) {
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for _, test := range []struct {
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u, v Vec
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want float64
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}{
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{Vec{1, 2, 3}, Vec{1, 2, 3}, 14},
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{Vec{1, 0, 0}, Vec{1, 0, 0}, 1},
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{Vec{1, 0, 0}, Vec{0, 1, 0}, 0},
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{Vec{1, 0, 0}, Vec{0, 1, 1}, 0},
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{Vec{1, 1, 1}, Vec{-1, -1, -1}, -3},
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{Vec{1, 2, 2}, Vec{-0.3, 0.4, -1.2}, -1.9},
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} {
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{
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got := Dot(test.u, test.v)
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if got != test.want {
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t.Errorf(
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"error: %v · %v: got=%v, want=%v",
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test.u, test.v, got, test.want,
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)
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}
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}
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{
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got := Dot(test.v, test.u)
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if got != test.want {
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t.Errorf(
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"error: %v · %v: got=%v, want=%v",
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test.v, test.u, got, test.want,
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)
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}
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}
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}
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}
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func TestCross(t *testing.T) {
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for _, test := range []struct {
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v1, v2, want Vec
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}{
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{Vec{1, 0, 0}, Vec{1, 0, 0}, Vec{0, 0, 0}},
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{Vec{1, 0, 0}, Vec{0, 1, 0}, Vec{0, 0, 1}},
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{Vec{0, 1, 0}, Vec{1, 0, 0}, Vec{0, 0, -1}},
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{Vec{1, 2, 3}, Vec{-4, 5, -6}, Vec{-27, -6, 13}},
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{Vec{1, 2, 3}, Vec{1, 2, 3}, Vec{}},
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{Vec{1, 2, 3}, Vec{2, 3, 4}, Vec{-1, 2, -1}},
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} {
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got := Cross(test.v1, test.v2)
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if got != test.want {
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t.Errorf(
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"error: %v × %v = %v, want %v",
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test.v1, test.v2, got, test.want,
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)
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}
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}
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}
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func TestNorm(t *testing.T) {
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for _, test := range []struct {
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v Vec
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want float64
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}{
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{Vec{0, 0, 0}, 0},
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{Vec{0, 1, 0}, 1},
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{Vec{3, -4, 12}, 13},
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{Vec{1, 1e-16, 1e-32}, 1},
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{Vec{-0, 4.3145006366056343748277397783556100978621924913975e-196, 4.3145006366056343748277397783556100978621924913975e-196}, 6.101625315155041e-196},
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} {
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if got, want := Norm(test.v), test.want; got != want {
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t.Errorf("|%v| = %v, want %v", test.v, got, want)
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}
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}
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}
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func TestNorm2(t *testing.T) {
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for _, test := range []struct {
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v Vec
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want float64
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}{
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{Vec{0, 0, 0}, 0},
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{Vec{0, 1, 0}, 1},
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{Vec{1, 1, 1}, 3},
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{Vec{1, 2, 3}, 14},
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{Vec{3, -4, 12}, 169},
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{Vec{1, 1e-16, 1e-32}, 1},
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// This will underflow and return zero.
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{Vec{-0, 4.3145006366056343748277397783556100978621924913975e-196, 4.3145006366056343748277397783556100978621924913975e-196}, 0},
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} {
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if got, want := Norm2(test.v), test.want; got != want {
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t.Errorf("|%v|^2 = %v, want %v", test.v, got, want)
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}
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}
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}
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func TestUnit(t *testing.T) {
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for _, test := range []struct {
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v, want Vec
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}{
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{Vec{}, Vec{math.NaN(), math.NaN(), math.NaN()}},
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{Vec{1, 0, 0}, Vec{1, 0, 0}},
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{Vec{0, 1, 0}, Vec{0, 1, 0}},
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{Vec{0, 0, 1}, Vec{0, 0, 1}},
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{Vec{1, 1, 1}, Vec{1. / math.Sqrt(3), 1. / math.Sqrt(3), 1. / math.Sqrt(3)}},
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{Vec{1, 1e-16, 1e-32}, Vec{1, 1e-16, 1e-32}},
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} {
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got := Unit(test.v)
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if !vecEqual(got, test.want) {
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t.Errorf(
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"Normalize(%v) = %v, want %v",
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test.v, got, test.want,
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)
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}
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if test.v == (Vec{}) {
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return
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}
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if n, want := Norm(got), 1.0; n != want {
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t.Errorf("|%v| = %v, want 1", got, n)
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}
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}
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}
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func TestCos(t *testing.T) {
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for _, test := range []struct {
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v1, v2 Vec
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want float64
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}{
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{Vec{1, 1, 1}, Vec{1, 1, 1}, 1},
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{Vec{1, 1, 1}, Vec{-1, -1, -1}, -1},
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{Vec{1, 1, 1}, Vec{1, -1, 1}, 1.0 / 3},
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{Vec{1, 0, 0}, Vec{1, 0, 0}, 1},
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{Vec{1, 0, 0}, Vec{0, 1, 0}, 0},
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{Vec{1, 0, 0}, Vec{0, 1, 1}, 0},
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{Vec{1, 0, 0}, Vec{-1, 0, 0}, -1},
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} {
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tol := 1e-14
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got := Cos(test.v1, test.v2)
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if !scalar.EqualWithinAbs(got, test.want, tol) {
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t.Errorf("cos(%v, %v)= %v, want %v",
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test.v1, test.v2, got, test.want,
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)
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}
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}
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}
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func TestRotate(t *testing.T) {
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const tol = 1e-14
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for _, test := range []struct {
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v, axis Vec
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alpha float64
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want Vec
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}{
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{Vec{1, 0, 0}, Vec{1, 0, 0}, math.Pi / 2, Vec{1, 0, 0}},
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{Vec{1, 0, 0}, Vec{1, 0, 0}, 0, Vec{1, 0, 0}},
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{Vec{1, 0, 0}, Vec{1, 0, 0}, 2 * math.Pi, Vec{1, 0, 0}},
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{Vec{1, 0, 0}, Vec{0, 0, 0}, math.Pi / 2, Vec{math.NaN(), math.NaN(), math.NaN()}},
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{Vec{1, 0, 0}, Vec{0, 1, 0}, math.Pi / 2, Vec{0, 0, -1}},
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{Vec{1, 0, 0}, Vec{0, 1, 0}, math.Pi, Vec{-1, 0, 0}},
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{Vec{2, 0, 0}, Vec{0, 1, 0}, math.Pi, Vec{-2, 0, 0}},
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{Vec{1, 2, 3}, Vec{1, 1, 1}, 2. / 3. * math.Pi, Vec{3, 1, 2}},
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} {
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got := Rotate(test.v, test.alpha, test.axis)
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if !vecApproxEqual(got, test.want, tol) {
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t.Errorf(
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"rotate(%v, %v, %v)= %v, want=%v",
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test.v, test.alpha, test.axis, got, test.want,
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)
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}
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}
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}
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func vecIsNaN(v Vec) bool {
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return math.IsNaN(v.X) && math.IsNaN(v.Y) && math.IsNaN(v.Z)
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}
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func vecIsNaNAny(v Vec) bool {
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return math.IsNaN(v.X) || math.IsNaN(v.Y) || math.IsNaN(v.Z)
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}
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func vecEqual(a, b Vec) bool {
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if vecIsNaNAny(a) || vecIsNaNAny(b) {
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return vecIsNaN(a) && vecIsNaN(b)
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}
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return a == b
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}
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func vecApproxEqual(a, b Vec, tol float64) bool {
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if vecIsNaNAny(a) || vecIsNaNAny(b) {
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return vecIsNaN(a) && vecIsNaN(b)
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}
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return scalar.EqualWithinAbs(a.X, b.X, tol) &&
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scalar.EqualWithinAbs(a.Y, b.Y, tol) &&
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scalar.EqualWithinAbs(a.Z, b.Z, tol)
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}
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