b612
16c62a97d5
- 新增时标、ΔT 模型、质心时间与 UT1 支持 - 改进日月食、月掩、行星事件及路径边界计算 - 完善恒星三维自行与动态距离传播 - 扩展 SVG、GeoJSON、KML 输出与底层距离换算工具 - 整理中英文手册、示例资源及回归测试
318 lines
14 KiB
Go
318 lines
14 KiB
Go
package basic
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import (
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"math"
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"testing"
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)
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// 采样并集的顶点必须保留自己的时间：平滑把顶点移了位置，时间场必须跟着同一个滤波器走，
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// 不能整体回落到食甚时刻。
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func TestSolarEclipseSampledBandVerticesKeepOwnTime(t *testing.T) {
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for _, date := range [][3]int{{4862, 9, 28}, {1552, 7, 21}, {1874, 10, 10}} {
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seed := JDCalc(date[0], date[1], float64(date[2]))
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result := SolarEclipsePartialFootprintsNASABulletinSplitK(seed, SolarEclipsePartialFootprintOptions{
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StepDays: 2.0 / 1440.0, BoundaryPoints: 96, RiseSetStepDays: 2.0 / 1440.0,
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})
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if len(result.CentralBandSegments) == 0 {
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t.Fatalf("%04d-%02d-%02d exported no central band", date[0], date[1], date[2])
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}
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lowest, highest := math.Inf(1), math.Inf(-1)
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distinct := make(map[float64]bool)
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for _, segment := range result.CentralBandSegments {
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for _, point := range segment {
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lowest, highest = math.Min(lowest, point.JDE), math.Max(highest, point.JDE)
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distinct[point.JDE] = true
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if point.JDE < result.Eclipse.PartialBeginOnEarth-1 ||
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point.JDE > result.Eclipse.PartialEndOnEarth+1 {
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t.Fatalf("%04d-%02d-%02d band vertex time %.6f is outside the eclipse",
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date[0], date[1], date[2], point.JDE)
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}
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}
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}
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if len(distinct) < 2 || highest-lowest < 1.0/1440.0 {
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t.Fatalf("%04d-%02d-%02d band vertices collapsed onto one time: span=%.9f days, distinct=%d",
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date[0], date[1], date[2], highest-lowest, len(distinct))
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}
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}
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}
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// 扫掠兜底的采样标记必须跟着 centralBandSweepPolygons 的返回值走，不能丢。
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func TestSolarEclipseCentralBandSweepKeepsSampledFlag(t *testing.T) {
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for _, date := range [][3]int{{2024, 4, 8}, {1136, 6, 1}, {4862, 9, 28}, {1552, 7, 21}} {
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seed := JDCalc(date[0], date[1], float64(date[2]))
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band := SolarEclipsePartialFootprintsNASABulletinSplitK(seed, SolarEclipsePartialFootprintOptions{
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StepDays: 2.0 / 1440.0, BoundaryPoints: 96, RiseSetStepDays: 2.0 / 1440.0,
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})
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if band.U1.JDE == 0 || band.U4.JDE == 0 {
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t.Fatalf("%04d-%02d-%02d has no umbral contact pair", date[0], date[1], date[2])
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}
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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_, _, sampled := solver.centralBandSweepPolygons(
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band.U1.JDE, band.U4.JDE, band.Eclipse.GreatestEclipse, band.RiseSetCurves,
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)
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probe := band
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probe.CentralBandSegments, probe.CentralBandSampled = nil, false
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solver.attachCentralBandSweep(
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&probe, band.U1.JDE, band.U4.JDE, band.Eclipse.GreatestEclipse, band.RiseSetCurves,
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)
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if probe.CentralBandSampled != sampled {
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t.Fatalf("%04d-%02d-%02d sampled flag=%v, sweep reports %v",
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date[0], date[1], date[2], probe.CentralBandSampled, sampled)
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}
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}
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}
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// 弧角沿环展开后可以超过 2π，包络角取的是 [0,2π) 支；映射到同一支之前，
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// 展开段的样本会被两端同时丢弃。
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func TestSolarEclipseArcBranchAngleMapsUnwrappedArcs(t *testing.T) {
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const twoPi = 2 * math.Pi
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if got, want := solarEclipseArcBranchAngle(0.1, 6.0), 0.1+twoPi; math.Abs(got-want) > 1e-12 {
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t.Fatalf("branch angle=%.15f, want %.15f", got, want)
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}
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for _, item := range []struct{ angle, reference float64 }{
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{0.1, 6.0}, {6.2, 0.05}, {0, 0}, {3, twoPi + 0.5}, {twoPi - 0.1, 0.2}, {0.0, twoPi - 0.05},
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} {
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got := solarEclipseArcBranchAngle(item.angle, item.reference)
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if math.Abs(math.Remainder(got-item.angle, twoPi)) > 1e-12 {
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t.Fatalf("angle %.6f mapped to %.6f is not on the same branch as reference %.6f",
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item.angle, got, item.reference)
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}
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if got < item.reference-math.Pi-1e-9 || got > item.reference+math.Pi+1e-9 {
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t.Fatalf("angle %.6f mapped to %.6f left the reference branch %.6f",
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item.angle, got, item.reference)
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}
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}
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}
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// 非 greatest 残差只允许算一次 stateAt；结果必须与"先算相位残差再单独算 stateAt"逐位一致。
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func TestSolarEclipseRiseSetArcResidualMatchesPhaseResidual(t *testing.T) {
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seed := JDCalc(2024, 4, 8)
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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solver = solver.withLocalEphemeris()
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result := solarEclipse(seed, SolarEclipseModelNASABulletinSplitK)
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for offset := -3.0; offset <= 3.0; offset += 0.37 {
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jd := result.GreatestEclipse + offset/24.0
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evaluation := solver.magnitudeEvaluationAt(jd)
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for _, point := range [][2]float64{{10, 40}, {-70, -20}, {120, 65}, {0, 0}} {
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for _, greatest := range []bool{true, false} {
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got, gotOK := solarEclipseRiseSetArcResidualAt(evaluation, point[0], point[1], greatest)
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phase, phaseOK := solarEclipseRiseSetPhaseResidual(evaluation, point[0], point[1], greatest)
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state := evaluation.center.stateAt(point[0]*rad, point[1]*rad, 0)
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if gotOK != phaseOK || got[0] != phase || got[1] != state.sunAltitudeRad {
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t.Fatalf("residual(%.6f, %.3f, %.3f, greatest=%v)=%v/%v, want %v/%v",
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jd, point[0], point[1], greatest, got, gotOK,
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[2]float64{phase, state.sunAltitudeRad}, phaseOK)
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}
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}
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}
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}
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}
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// 事件局部插值星历与精确星历的差别必须远小于任何求解容差，这是所有
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// "用插值星历迭代 + 精确星历复核"优化的前提。
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func TestSolarEclipseCandidateEvaluationMatchesExact(t *testing.T) {
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seed := JDCalc(1136, 6, 1)
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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solver = solver.withLocalEphemeris()
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center := solver.newMoonJDE
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maximum := 0.0
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for step := -21600.0; step <= 21600.0; step += 300 {
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jd := center + step/86400.0
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exact := solver.magnitudeEvaluationAt(jd).center.stateAt(0.3, 0.6, 0)
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candidate := solver.magnitudeCandidateEvaluationAt(jd).center.stateAt(0.3, 0.6, 0)
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for _, delta := range []float64{
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candidate.separationRad - exact.separationRad,
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candidate.sunAltitudeRad - exact.sunAltitudeRad,
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candidate.sunRadiusRad - exact.sunRadiusRad,
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candidate.moonOuterRadiusRad - exact.moonOuterRadiusRad,
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candidate.moonInnerRadiusRad - exact.moonInnerRadiusRad,
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} {
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maximum = math.Max(maximum, math.Abs(delta))
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}
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}
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if maximum > 1e-9 {
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t.Fatalf("candidate ephemeris deviates by %.3e rad, above the 1e-9 bound", maximum)
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}
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}
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// 中心相时长的插值求解必须与完整站心解一致到远小于目录精度的量级。
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func TestSolarEclipseCentralDurationMatchesExactLocalSolve(t *testing.T) {
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for _, date := range [][3]int{{2024, 4, 8}, {2009, 7, 22}, {2017, 8, 21}, {2020, 6, 21}, {1136, 6, 1}} {
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seed := JDCalc(date[0], date[1], float64(date[2]))
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result := SolarEclipseNASABulletinSplitK(seed)
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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solver = solver.withLocalEphemeris()
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fast := solver.centralPhaseDurationDaysAt(
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result.GreatestEclipse, result.GreatestLongitude, result.GreatestLatitude,
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)
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local := LocalSolarEclipseNASABulletinSplitK(
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result.GreatestEclipse, result.GreatestLongitude, result.GreatestLatitude, 0,
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)
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exact := 0.0
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if local.CentralStart > 0 && local.CentralEnd > local.CentralStart {
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exact = local.CentralEnd - local.CentralStart
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}
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// 两个解各自只收敛到接触根容差，插值星历本身的贡献在 1e-12 日量级。
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if math.Abs(fast-exact) > 3*localSolarEclipseContactTolerance {
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t.Fatalf("%04d-%02d-%02d interpolated duration=%.12f days, exact=%.12f",
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date[0], date[1], date[2], fast, exact)
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}
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if math.Abs(fast-result.CentralDurationDays) > 3*localSolarEclipseContactTolerance {
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t.Fatalf("%04d-%02d-%02d published duration=%.12f, solver=%.12f",
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date[0], date[1], date[2], result.CentralDurationDays, fast)
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}
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}
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}
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// 路径与升落层必须与单时刻层使用同一个 ΔT：两层混用时食甚点会沿经度错开
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// 0.4651·|ΔΔT|·cosφ 千米。
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func TestSolarEclipsePathHonoursDeltaTOverride(t *testing.T) {
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const override = 200.0
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seed := JDCalc(2024, 4, 8)
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options := SolarEclipsePathOptions{StepDays: 2.0 / 1440.0, DeltaTSeconds: override}
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path := SolarEclipseCentralPathNASABulletinSplitK(seed, options)
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defaultPath := SolarEclipseCentralPathNASABulletinSplitK(seed, SolarEclipsePathOptions{StepDays: 2.0 / 1440.0})
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shift := math.Abs(path.Eclipse.GreatestLongitude - defaultPath.Eclipse.GreatestLongitude)
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if shift < 0.3 || shift > 0.9 {
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t.Fatalf("ΔT override moved the greatest point by %.4f degrees, want about 0.55", shift)
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}
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aligned, ok := SolarEclipseShadowAtJDE(path.Eclipse.GreatestEclipse, SolarEclipseShadowSolverOptions{
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DeltaTSeconds: override, Kind: SolarEclipseShadowUmbra, BoundaryPoints: 360,
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})
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if !ok || len(aligned.Boundaries) == 0 {
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t.Fatal("no umbral footprint at the greatest eclipse")
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}
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if distance := solarEclipseRingCenterDistanceKM(aligned.Boundaries, path.Greatest); distance > 5 {
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t.Fatalf("path and instantaneous umbra differ by %.2f km under one ΔT", distance)
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}
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mismatched, ok := SolarEclipseShadowAtJDE(path.Eclipse.GreatestEclipse, SolarEclipseShadowSolverOptions{
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Kind: SolarEclipseShadowUmbra, BoundaryPoints: 360,
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})
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if !ok || len(mismatched.Boundaries) == 0 {
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t.Fatal("no umbral footprint for the mismatched ΔT control")
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}
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if distance := solarEclipseRingCenterDistanceKM(mismatched.Boundaries, path.Greatest); distance < 20 {
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t.Fatalf("control distance %.2f km is too small to prove the override is honoured", distance)
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}
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}
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// solarEclipseRingCenterDistanceKM 取足迹各分段的平均位置到参考点的大圆距离。
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func solarEclipseRingCenterDistanceKM(
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boundaries [][]SolarEclipsePathPoint,
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reference SolarEclipsePathPoint,
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) float64 {
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points := 0
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longitude, latitude := 0.0, 0.0
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base := 0.0
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for _, boundary := range boundaries {
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for _, point := range boundary {
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if points == 0 {
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base = point.Longitude
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}
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longitude += base + math.Remainder(point.Longitude-base, 360)
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latitude += point.Latitude
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points++
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}
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}
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if points == 0 {
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return math.Inf(1)
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}
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return solarEclipsePathDistanceKM(SolarEclipsePathPoint{
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Longitude: normalizeLongitude(longitude / float64(points)),
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Latitude: latitude / float64(points),
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}, reference)
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}
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// 限界线必须来自与宽度同一份配对横截面；这里用独立的两次求解复算一遍作为对照。
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func TestSolarEclipseLimitPairsMatchIndependentSolve(t *testing.T) {
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seed := JDCalc(2024, 4, 8)
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path := SolarEclipseCentralPathNASABulletinSplitK(seed, SolarEclipsePathOptions{StepDays: 2.0 / 1440.0})
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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referenceNorth, _ := solver.centralPathLimits(path.CenterLine)
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if len(referenceNorth) == 0 {
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t.Fatal("the independent limit solve returned nothing")
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}
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northern, southern, paired := solver.centralPathLimitPairs(path.CenterLine)
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// 限界线与宽度共用同一份配对结果的前提：同一输入的配对必须逐位可复现。
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againNorth, againSouth, againPaired := solver.centralPathLimitPairs(path.CenterLine)
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for index := range northern {
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if northern[index] != againNorth[index] || southern[index] != againSouth[index] || paired[index] != againPaired[index] {
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t.Fatalf("paired cross-section %d is not reproducible", index)
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}
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}
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// 端点由接触对单独恢复宽度（setSolarEclipseCentralContactWidths），只校验内部样本。
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for index := 1; index < len(path.CenterLine)-1; index++ {
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point := path.CenterLine[index]
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want := 0.0
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if paired[index] {
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want = solarEclipsePathDistanceKM(northern[index], southern[index])
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if want <= 0 || want > solarEclipsePathMaxPossibleWidthKM {
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want = 0
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}
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}
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if point.WidthKM != want {
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t.Fatalf("width at sample %d = %.6f km, paired cross-section gives %.6f km",
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index, point.WidthKM, want)
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}
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}
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}
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// 事件级状态缓存必须有界，且 ΔT 世代变化后旧条目必须视为未命中。
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func TestSolarEclipseLocalStateContextCacheIsBounded(t *testing.T) {
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seed := JDCalc(2024, 4, 8)
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solver := newSolarEclipseSolver(CalcMoonSHByJDE(seed, 0), SolarEclipseModelNASABulletinSplitK)
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base := solver.newMoonJDE
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for index := 0; index < 3*solarEclipseBesselGeometryCacheMaximumEntries; index++ {
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solver.localStateContextAt(base + float64(index)*0.01)
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}
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if len(solver.localStateContextCache) > solarEclipseBesselGeometryCacheMaximumEntries {
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t.Fatalf("local state cache holds %d entries, above the %d bound",
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len(solver.localStateContextCache), solarEclipseBesselGeometryCacheMaximumEntries)
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}
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jd := base + 0.25
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before := solver.localStateContextAt(jd)
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previous := GetDeltaTFn()
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defer SetDeltaTFn(previous)
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SetDeltaTFn(func(float64, bool) float64 { return 200 })
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after := solver.localStateContextAt(jd)
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if after.gst == before.gst {
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t.Fatalf("ΔT generation did not invalidate the cached context: gst %.12f", before.gst)
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}
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if after.generation != deltaTGenerationValue() {
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t.Fatalf("cached context generation=%d, want %d", after.generation, deltaTGenerationValue())
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}
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}
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// 升落层段数上限是质量门槛：超过就返回截断结果，调用方必须能通过降级标记看到它。
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func TestSolarEclipseRiseSetTopologyDegradedContract(t *testing.T) {
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segments := make([][]SolarEclipsePathPoint, 17)
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for index := range segments {
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segments[index] = []SolarEclipsePathPoint{
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{JDE: float64(index) + 1}, {JDE: float64(index) + 1.5},
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}
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}
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overSegmented := []SolarEclipseRiseSetCurve{{
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Phase: RiseSetPhaseStart, Direction: RiseSetDirectionRise, Segments: segments,
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}}
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if solarEclipseRiseSetCurveTopologyComplete(overSegmented) {
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t.Fatal("a 17-segment curve must not pass the topology audit")
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}
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seed := JDCalc(2024, 4, 8)
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result := SolarEclipsePartialFootprintsNASABulletinSplitK(seed, SolarEclipsePartialFootprintOptions{
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StepDays: 2.0 / 1440.0, BoundaryPoints: 96, RiseSetStepDays: 2.0 / 1440.0,
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})
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if len(result.RiseSetCurves) == 0 {
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t.Fatal("no rise/set curves were exported")
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}
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if want := !solarEclipseRiseSetCurveTopologyComplete(result.RiseSetCurves); result.RiseSetTopologyDegraded != want {
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t.Fatalf("degraded flag=%v, topology audit says %v", result.RiseSetTopologyDegraded, want)
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}
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disabled := SolarEclipsePartialFootprintsNASABulletinSplitK(seed, SolarEclipsePartialFootprintOptions{
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StepDays: 2.0 / 1440.0, BoundaryPoints: 96, DisableRiseSetCurves: true,
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})
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if disabled.RiseSetTopologyDegraded || len(disabled.RiseSetCurves) != 0 {
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t.Fatalf("disabled rise/set curves must not report degradation: flag=%v curves=%d",
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disabled.RiseSetTopologyDegraded, len(disabled.RiseSetCurves))
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}
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}
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