62 lines
1.6 KiB
Go
62 lines
1.6 KiB
Go
|
// 被测契约：章动、平黄赤交角、岁差与完整旋转矩阵和独立参考实现逐点一致。
|
||
|
|
package iau2006
|
||
|
|
|
||
|
|
import (
|
||
|
|
"math"
|
||
|
|
"testing"
|
||
|
|
)
|
||
|
|
|
||
|
|
type referenceCase struct {
|
||
|
|
jd float64
|
||
|
|
dpsi, deps float64
|
||
|
|
obliquity float64
|
||
|
|
precession Matrix
|
||
|
|
fullRotation Matrix
|
||
|
|
}
|
||
|
|
|
||
|
|
func maxDiff(a, b Matrix) float64 {
|
||
|
|
worst := 0.0
|
||
|
|
for i := range a {
|
||
|
|
for j := range a[i] {
|
||
|
|
worst = math.Max(worst, math.Abs(a[i][j]-b[i][j]))
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return worst
|
||
|
|
}
|
||
|
|
|
||
|
|
func TestMatchesReference(t *testing.T) {
|
||
|
|
if d := maxDiff(FrameBias(), referenceBias); d > 1e-15 {
|
||
|
|
t.Errorf("frame bias differs by %.3g", d)
|
||
|
|
}
|
||
|
|
for _, c := range referenceCases {
|
||
|
|
dpsi, deps := Nutation(c.jd)
|
||
|
|
if math.Abs(dpsi-c.dpsi) > 1e-9 || math.Abs(deps-c.deps) > 1e-9 {
|
||
|
|
t.Errorf("jd %.1f nutation %.12f %.12f want %.12f %.12f", c.jd, dpsi, deps, c.dpsi, c.deps)
|
||
|
|
}
|
||
|
|
if d := math.Abs(MeanObliquity(c.jd) - c.obliquity); d > 1e-9 {
|
||
|
|
t.Errorf("jd %.1f obliquity differs by %.3g arcsec", c.jd, d)
|
||
|
|
}
|
||
|
|
if d := maxDiff(Precession(c.jd), c.precession); d > 1e-14 {
|
||
|
|
t.Errorf("jd %.1f precession differs by %.3g", c.jd, d)
|
||
|
|
}
|
||
|
|
// 1e-12 rad ≈ 0.2 µas
|
||
|
|
if d := maxDiff(BiasPrecessionNutation(c.jd), c.fullRotation); d > 1e-12 {
|
||
|
|
t.Errorf("jd %.1f full rotation differs by %.3g", c.jd, d)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
func TestMatrixIsRotation(t *testing.T) {
|
||
|
|
m := BiasPrecessionNutation(2460676.5)
|
||
|
|
v := m.Transpose().Apply(m.Apply([3]float64{0.3, -0.5, 0.8}))
|
||
|
|
if math.Abs(v[0]-0.3)+math.Abs(v[1]+0.5)+math.Abs(v[2]-0.8) > 1e-14 {
|
||
|
|
t.Errorf("round trip %v", v)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
func BenchmarkNutation(b *testing.B) {
|
||
|
|
for i := 0; i < b.N; i++ {
|
||
|
|
Nutation(2460676.5 + float64(i%100))
|
||
|
|
}
|
||
|
|
}
|