b612
2bf8478639
- 新增日月食中心带、偏食带、阴影足迹、等时线、食分线及升落边界计算，支持极区与混合食拓扑 - 新增日食单时刻阴影求解器、站心状态查询、批量采样和 ΔT 覆盖接口 - 重构恒星与行星月掩路径，补充有限盘面接触、站心修正、掩带宽度、极区投影及升落边界 - 扩展 SVG 与 GeoJSON 输出，支持详细面板、全球/极区/地球投影、边界闭合、时间标记和拓扑签名 - 扩展日月食候选搜索、局地搜索、沙罗序列预计算与范围外推，补充系列锚点和成员一致性校验 - 补齐古历纪年、儒略历独有闰日、多公历候选、历法改革跨日及精确日期运算接口 - 优化 ΔT、章动、恒星时、月球地平线、事件根搜索和本地星历缓存，降低重复计算开销并提升边界稳定
257 lines
8.8 KiB
Go
257 lines
8.8 KiB
Go
package astro_test
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import (
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"math"
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"testing"
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"time"
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"b612.me/astro/basic"
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"b612.me/astro/calendar"
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"b612.me/astro/jupiter"
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"b612.me/astro/mars"
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"b612.me/astro/mercury"
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"b612.me/astro/moon"
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"b612.me/astro/neptune"
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"b612.me/astro/saturn"
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"b612.me/astro/star"
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"b612.me/astro/sun"
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"b612.me/astro/uranus"
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"b612.me/astro/venus"
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)
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func nearlyEqual(a, b float64) bool {
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return math.Abs(a-b) <= 1e-12
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}
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func TestPlanetAbsoluteQuantitiesIgnoreInputTimezone(t *testing.T) {
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utc := time.Date(2026, 1, 2, 3, 4, 5, 123456789, time.UTC)
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cst := time.FixedZone("CST", 8*3600)
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local := utc.In(cst)
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scalars := []struct {
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name string
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fn func(time.Time) float64
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}{
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{"mercury.ApparentLo", mercury.ApparentLo},
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{"mercury.ApparentBo", mercury.ApparentBo},
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{"mercury.ApparentRa", mercury.ApparentRa},
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{"mercury.ApparentDec", mercury.ApparentDec},
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{"mercury.ApparentMagnitude", mercury.ApparentMagnitude},
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{"mercury.EarthDistance", mercury.EarthDistance},
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{"mercury.SunDistance", mercury.SunDistance},
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{"venus.ApparentLo", venus.ApparentLo},
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{"venus.ApparentBo", venus.ApparentBo},
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{"venus.ApparentRa", venus.ApparentRa},
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{"venus.ApparentDec", venus.ApparentDec},
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{"venus.ApparentMagnitude", venus.ApparentMagnitude},
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{"venus.EarthDistance", venus.EarthDistance},
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{"venus.SunDistance", venus.SunDistance},
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{"mars.ApparentLo", mars.ApparentLo},
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{"mars.ApparentBo", mars.ApparentBo},
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{"mars.ApparentRa", mars.ApparentRa},
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{"mars.ApparentDec", mars.ApparentDec},
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{"mars.ApparentMagnitude", mars.ApparentMagnitude},
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{"mars.EarthDistance", mars.EarthDistance},
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{"mars.SunDistance", mars.SunDistance},
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{"jupiter.ApparentLo", jupiter.ApparentLo},
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{"jupiter.ApparentBo", jupiter.ApparentBo},
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{"jupiter.ApparentRa", jupiter.ApparentRa},
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{"jupiter.ApparentDec", jupiter.ApparentDec},
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{"jupiter.ApparentMagnitude", jupiter.ApparentMagnitude},
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{"jupiter.EarthDistance", jupiter.EarthDistance},
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{"jupiter.SunDistance", jupiter.SunDistance},
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{"saturn.ApparentLo", saturn.ApparentLo},
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{"saturn.ApparentBo", saturn.ApparentBo},
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{"saturn.ApparentRa", saturn.ApparentRa},
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{"saturn.ApparentDec", saturn.ApparentDec},
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{"saturn.ApparentMagnitude", saturn.ApparentMagnitude},
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{"saturn.EarthDistance", saturn.EarthDistance},
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{"saturn.SunDistance", saturn.SunDistance},
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{"uranus.ApparentLo", uranus.ApparentLo},
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{"uranus.ApparentBo", uranus.ApparentBo},
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{"uranus.ApparentRa", uranus.ApparentRa},
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{"uranus.ApparentDec", uranus.ApparentDec},
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{"uranus.ApparentMagnitude", uranus.ApparentMagnitude},
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{"uranus.EarthDistance", uranus.EarthDistance},
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{"uranus.SunDistance", uranus.SunDistance},
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{"neptune.ApparentLo", neptune.ApparentLo},
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{"neptune.ApparentBo", neptune.ApparentBo},
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{"neptune.ApparentRa", neptune.ApparentRa},
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{"neptune.ApparentDec", neptune.ApparentDec},
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{"neptune.ApparentMagnitude", neptune.ApparentMagnitude},
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{"neptune.EarthDistance", neptune.EarthDistance},
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{"neptune.SunDistance", neptune.SunDistance},
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}
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for _, tc := range scalars {
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if !nearlyEqual(tc.fn(utc), tc.fn(local)) {
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t.Fatalf("%s should depend on absolute time only", tc.name)
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}
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}
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pairs := []struct {
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name string
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fn func(time.Time) (float64, float64)
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}{
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{"mercury.ApparentRaDec", mercury.ApparentRaDec},
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{"venus.ApparentRaDec", venus.ApparentRaDec},
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{"mars.ApparentRaDec", mars.ApparentRaDec},
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{"jupiter.ApparentRaDec", jupiter.ApparentRaDec},
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{"saturn.ApparentRaDec", saturn.ApparentRaDec},
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{"uranus.ApparentRaDec", uranus.ApparentRaDec},
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{"neptune.ApparentRaDec", neptune.ApparentRaDec},
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}
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for _, tc := range pairs {
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leftA, leftB := tc.fn(utc)
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rightA, rightB := tc.fn(local)
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if !nearlyEqual(leftA, rightA) || !nearlyEqual(leftB, rightB) {
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t.Fatalf("%s should depend on absolute time only", tc.name)
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}
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}
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}
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func TestJDECalcRejectsGregorianGap(t *testing.T) {
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cases := []float64{5, 6.5, 10, 14.25}
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for _, day := range cases {
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got := basic.JDECalc(1582, 10, day)
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if !math.IsNaN(got) {
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t.Fatalf("1582-10-%v should be rejected, got %.15f", day, got)
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}
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}
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before := basic.JDECalc(1582, 10, 4)
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after := basic.JDECalc(1582, 10, 15)
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if math.IsNaN(before) || math.IsNaN(after) {
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t.Fatal("boundary dates around Gregorian reform should remain valid")
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}
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if !nearlyEqual(after-before, 1) {
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t.Fatalf("1582-10-15 should remain the civil day after 1582-10-04")
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}
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}
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func TestCalendarAddPreservesOriginalTimezone(t *testing.T) {
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oldLocal := time.Local
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time.Local = time.UTC
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defer func() {
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time.Local = oldLocal
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}()
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tz := time.FixedZone("CST", 8*3600)
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start := time.Date(1985, 1, 21, 9, 30, 0, 0, tz)
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lunar, err := calendar.SolarToLunar(start)
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if err != nil {
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t.Fatal(err)
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}
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expected, err := calendar.SolarToLunar(lunar.Time().Add(36 * time.Hour))
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if err != nil {
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t.Fatal(err)
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}
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shifted := lunar.Add(36 * time.Hour).Time()
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if delta := shifted.Sub(expected.Time()); delta < -time.Millisecond || delta > time.Millisecond {
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t.Fatalf("calendar.Time.Add should not depend on time.Local: got %v want %v", shifted, expected.Time())
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}
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}
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func TestObservationZenithMatchesIndependentFormula(t *testing.T) {
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places := []struct {
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name string
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lon, lat float64
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}{
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{"beijing", 116.391, 39.907},
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{"sydney", 151.2093, -33.8688},
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{"tromso", 18.9553, 69.6492},
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}
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dates := []time.Time{
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time.Date(1900, 1, 1, 0, 0, 0, 0, time.UTC),
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time.Date(2000, 1, 1, 12, 0, 0, 0, time.UTC),
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time.Date(2024, 2, 29, 23, 59, 59, 0, time.UTC),
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time.Date(2026, 4, 26, 9, 30, 45, 123456789, time.FixedZone("CST", 8*3600)),
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time.Date(2100, 6, 15, 3, 4, 5, 0, time.UTC),
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}
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starRa := 6.752477
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starDec := -16.716116
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// 容差取实测最大偏差的 5 倍以上；太阳还含视位置的入口差异，月光低精度级数与高精度级数本身不同源。
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const (
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sunTolerance = 2e-3
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moonTolerance = 5e-8
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moonLowTolerance = 3e-3
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starTolerance = 1e-12
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planetTolerance = 5e-9
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)
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for _, date := range dates {
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for _, place := range places {
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jde := basic.Date2JDE(date)
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_, loc := date.Zone()
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timezone := float64(loc) / 3600.0
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tt := basic.TD2UT(jde-timezone/24, true)
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checks := []struct {
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name string
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tol float64
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zenith float64
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witness float64
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}{
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{"sun", sunTolerance,
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sun.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(sun.HourAngle(date, place.lon, place.lat), basic.HSunApparentDec(tt), place.lat)},
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{"moon", moonTolerance,
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moon.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(moon.HourAngle(date, place.lon, place.lat), moon.ApparentDec(date, place.lon, place.lat), place.lat)},
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{"moon-low-precision-series", moonLowTolerance,
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moon.Zenith(date, place.lon, place.lat),
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90 - basic.MoonHeight(jde, place.lon, place.lat, timezone)},
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{"star", starTolerance,
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star.Zenith(date, starRa, starDec, place.lon, place.lat),
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zenithFromHourAngle(star.HourAngle(date, starRa, place.lon), starDec, place.lat)},
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{"mercury", planetTolerance,
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mercury.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(mercury.HourAngle(date, place.lon), mercury.ApparentDec(date), place.lat)},
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{"venus", planetTolerance,
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venus.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(venus.HourAngle(date, place.lon), venus.ApparentDec(date), place.lat)},
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{"mars", planetTolerance,
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mars.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(mars.HourAngle(date, place.lon), mars.ApparentDec(date), place.lat)},
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{"jupiter", planetTolerance,
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jupiter.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(jupiter.HourAngle(date, place.lon), jupiter.ApparentDec(date), place.lat)},
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{"saturn", planetTolerance,
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saturn.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(saturn.HourAngle(date, place.lon), saturn.ApparentDec(date), place.lat)},
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{"uranus", planetTolerance,
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uranus.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(uranus.HourAngle(date, place.lon), uranus.ApparentDec(date), place.lat)},
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{"neptune", planetTolerance,
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neptune.Zenith(date, place.lon, place.lat),
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zenithFromHourAngle(neptune.HourAngle(date, place.lon), neptune.ApparentDec(date), place.lat)},
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}
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for _, tc := range checks {
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if delta := math.Abs(tc.zenith - tc.witness); delta > tc.tol {
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t.Fatalf("%s %s at %s: zenith %.9f, independent formula %.9f, delta %.3g > %.3g",
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place.name, tc.name, date.Format(time.RFC3339), tc.zenith, tc.witness, delta, tc.tol)
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}
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}
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}
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}
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}
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// zenithFromHourAngle 由时角与赤纬按 cos z = sinφ·sinδ + cosφ·cosδ·cos H 独立求天顶距，单位度。
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func zenithFromHourAngle(hourAngle, dec, lat float64) float64 {
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rad := math.Pi / 180
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sinZenith := math.Sin(lat*rad)*math.Sin(dec*rad) + math.Cos(dec*rad)*math.Cos(lat*rad)*math.Cos(hourAngle*rad)
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if sinZenith > 1 {
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sinZenith = 1
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}
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if sinZenith < -1 {
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sinZenith = -1
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}
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return math.Acos(sinZenith) / rad
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}
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