Files
astro/eclipse/solar_shadow_test.go
T
b612 2bf8478639 feat: 完善日月食与月掩几何链路并扩展历法接口
- 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
2026-09-17 12:27:40 +08:00

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package eclipse
import (
"math"
"testing"
"time"
"b612.me/astro/basic"
)
func TestSolarEclipseShadowSolverUTCAgreesWithTT(t *testing.T) {
value := time.Date(2009, time.July, 22, 4, 19, 23, 378387689, time.UTC)
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
fromUTC, okUTC := solver.ShadowAt(value)
if !okUTC {
t.Fatal("expected an umbral footprint at the test instant")
}
// 显式 ΔT 的 TT 入口必须与 UTC 入口给出同一份几何。
explicit := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{DeltaTSeconds: fromUTC.DeltaTSeconds})
fromTT, okTT := explicit.ShadowAtJDE(fromUTC.JDE)
if !okTT {
t.Fatal("TT entry reported no umbra")
}
if len(fromTT.Boundaries) != len(fromUTC.Boundaries) {
t.Fatalf("segments differ: TT=%d UTC=%d", len(fromTT.Boundaries), len(fromUTC.Boundaries))
}
for index := range fromUTC.Boundaries {
if len(fromTT.Boundaries[index]) != len(fromUTC.Boundaries[index]) {
t.Fatalf("segment %d length differs", index)
}
for pointIndex := range fromUTC.Boundaries[index] {
a, b := fromTT.Boundaries[index][pointIndex], fromUTC.Boundaries[index][pointIndex]
if a.Longitude != b.Longitude || a.Latitude != b.Latitude {
t.Fatalf("point %d/%d differs: %.12f,%.12f vs %.12f,%.12f",
index, pointIndex, a.Longitude, a.Latitude, b.Longitude, b.Latitude)
}
}
}
if fromTT.Topology.Signature() != fromUTC.Topology.Signature() {
t.Fatalf("signature differs: %q vs %q", fromTT.Topology.Signature(), fromUTC.Topology.Signature())
}
if math.Abs(fromTT.DeltaTSeconds-fromUTC.DeltaTSeconds) > 1e-9 {
t.Fatalf("ΔT differs: %.9f vs %.9f", fromTT.DeltaTSeconds, fromUTC.DeltaTSeconds)
}
if fromTT.Time.IsZero() {
t.Fatal("TT entry must still report a usable instant instead of the zero time")
}
state := explicit.StationStateAtJDE(fromUTC.JDE, -96.8, 32.8, 0)
if state.Time.IsZero() {
t.Fatal("TT station entry must report a usable instant")
}
}
func TestSolarEclipseShadowBetweenAlignsWithTimeline(t *testing.T) {
// 覆盖 2009-07-22 的 U1..U4(本影在地球上的阶段)。
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
start := time.Date(2009, time.July, 22, 0, 50, 0, 0, time.UTC)
end := time.Date(2009, time.July, 22, 4, 25, 0, 0, time.UTC)
// 2 分钟步长才能踩到被地平线切断的那几分钟(该阶段只有约 3 分钟宽)。
step := 2 * time.Minute
instants := solver.ShadowBetween(start, end, step)
want := int(end.Sub(start)/step) + 1
if len(instants) != want {
t.Fatalf("batch length=%d, want %d", len(instants), want)
}
empty, populated, closedSeen, horizonSeen := 0, 0, 0, 0
for index, instant := range instants {
if instant.Empty() {
empty++
continue
}
populated++
if instant.Time.Before(start) {
t.Fatalf("entry %d time %v before start", index, instant.Time)
}
if instant.Closed {
closedSeen++
} else {
horizonSeen++
if len(instant.HorizonEnds) != 2 {
t.Fatalf("entry %d is horizon-cut but has %d grazing points", index, len(instant.HorizonEnds))
}
}
}
if empty == 0 || populated == 0 {
t.Fatalf("batch should contain both empty and populated entries, got empty=%d populated=%d", empty, populated)
}
if closedSeen == 0 || horizonSeen == 0 {
t.Fatalf("batch should contain both topology kinds, got closed=%d horizon=%d", closedSeen, horizonSeen)
}
}
func TestSolarEclipseShadowBatchMatchesSingleCalls(t *testing.T) {
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
start := time.Date(2009, time.July, 22, 1, 0, 0, 0, time.UTC)
step := 20 * time.Minute
instants := solver.ShadowBetween(start, start.Add(2*time.Hour), step)
if len(instants) == 0 {
t.Fatal("empty batch")
}
for index, batch := range instants {
single, _ := solver.ShadowAt(start.Add(time.Duration(index) * step))
if single.Empty() != batch.Empty() {
t.Fatalf("entry %d emptiness differs", index)
}
if single.Empty() {
continue
}
if single.Topology.Signature() != batch.Topology.Signature() {
t.Fatalf("entry %d signature %q vs %q", index, batch.Topology.Signature(), single.Topology.Signature())
}
}
}
func TestSolarEclipseStationStateExplicitDeltaTMovesStation(t *testing.T) {
value := time.Date(2024, time.April, 8, 18, 42, 0, 0, time.UTC)
base := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
shifted := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{DeltaTSeconds: base.stationDeltaT(value) + 100})
first := base.StationStateAt(value, -96.8, 32.8, 0)
second := shifted.StationStateAt(value, -96.8, 32.8, 0)
if math.Abs(first.JDE-second.JDE) > 100.0/86400 {
t.Fatalf("the TT instant must stay within one ΔT step, got %.9f vs %.9f", first.JDE, second.JDE)
}
if math.Abs(second.DeltaTSeconds-first.DeltaTSeconds-100) > 1e-9 {
t.Fatalf("ΔT override not applied: %.6f vs %.6f", first.DeltaTSeconds, second.DeltaTSeconds)
}
// 站心角距对地面横移的响应量级:100 s ≈ 39 km ≈ 21 角秒;精确的
// "位移 = DeltaTGroundShiftKM"由 basic 层的足迹测试覆盖,这里只验证量级与换算系数。
if math.Abs(second.SeparationArcsec-first.SeparationArcsec) < 5 {
t.Fatalf("explicit ΔT did not move the station geometry: %.3f vs %.3f arcsec",
first.SeparationArcsec, second.SeparationArcsec)
}
if ground := basic.DeltaTGroundShiftKM(100, 32.8); ground < 38 || ground > 40 {
t.Fatalf("DeltaTGroundShiftKM(100 s, 32.8°) = %.2f km, want about 39 km", ground)
}
}
func (solver *SolarEclipseShadowSolver) stationDeltaT(value time.Time) float64 {
state := solver.StationStateAt(value, 0, 0, 0)
return state.DeltaTSeconds
}
func TestSolarEclipseShadowTTEntryUsesScopedDeltaTForItsTime(t *testing.T) {
// 显式 ΔT 下:TT 入口回填的 UT 必须是 TT − 句柄 ΔT,闭合弧与 closure 取自同一时刻。
override := 3666.18
value := time.Date(2009, time.July, 22, 0, 53, 0, 0, time.UTC)
model := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
jde := model.ttJDE(value)
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{DeltaTSeconds: override})
instant, ok := solver.ShadowAtJDE(jde)
if !ok {
t.Fatal("expected a footprint at the shifted instant")
}
want := solarEclipseTTJDEToTimeWithDeltaT(jde, override, time.UTC)
if !instant.Time.Equal(want) {
t.Fatalf("TT entry time=%v, want %v (TT − %.2f s)", instant.Time.UTC(), want.UTC(), override)
}
if instant.DeltaTSeconds != override {
t.Fatalf("reported ΔT=%.6f, want %.2f", instant.DeltaTSeconds, override)
}
}
func TestSolarEclipseShadowBetweenSurvivesLongWindows(t *testing.T) {
// time.Duration 是 int64 纳秒:start.Add(time.Duration(index)*step) 在跨度超过
// 约 292 年时溢出,Time 会回绕倒退。30 天步长 × 300 年只有 3651 条,刚好越过
// 292 年的边界,用很小的代价钉住这个回归。
// time.Duration is int64 nanoseconds: start.Add(time.Duration(index)*step) overflows
// past ~292 years and Time wraps backwards. A 30-day step over 300 years is only
// 3651 entries yet crosses that boundary, so it pins the regression cheaply.
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
start := time.Date(2000, time.January, 1, 0, 0, 0, 0, time.UTC)
end := start.AddDate(300, 0, 0)
step := 30 * 24 * time.Hour
instants := solver.ShadowBetween(start, end, step)
// time.Time.Sub also saturates at the ~292-year duration limit, so the expected count
// comes from Unix seconds (int64 seconds has no such limit here).
want := int((end.Unix()-start.Unix())/int64(step.Seconds())) + 1
if len(instants) != want {
t.Fatalf("batch length=%d, want %d", len(instants), want)
}
previous := start.Add(-time.Second)
for index, instant := range instants {
if !instant.Time.After(previous) {
t.Fatalf("entry %d time %v is not after %v (int64 nanosecond wrap)",
index, instant.Time, previous)
}
if index == 0 && !instant.Time.Equal(start) {
t.Fatalf("entry 0 time %v, want %v", instant.Time, start)
}
previous = instant.Time
}
if !previous.Before(end.Add(step)) {
t.Fatalf("last entry %v overshoots the window", previous)
}
}
func TestSolarEclipseStationStateAtJDERejectsNonFiniteTT(t *testing.T) {
solver := NewSolarEclipseShadowSolver(SolarEclipseShadowSolverOptions{})
for _, jdeTT := range []float64{math.NaN(), math.Inf(1), math.Inf(-1)} {
state := solver.StationStateAtJDE(jdeTT, 116.404, 39.915, 0)
if state != (SolarEclipseStationState{}) {
t.Fatalf("StationStateAtJDE(%v) = %+v, want the zero state", jdeTT, state)
}
}
if state := solver.StationStateAtJDE(2460310.5, 116.404, 39.915, 0); state.JDE != 2460310.5 || state.Time.IsZero() {
t.Fatalf("finite TT returned %+v", state)
}
}