package basic import ( "math" "testing" ) func TestMoonSeriesNumericalPrecision(t *testing.T) { // The existing binary64 coefficients evaluated at 70 decimal digits. // These check arithmetic precision, not the lunar theory's physical error. for _, sample := range []struct{ jd, longitude, latitude, distance, velocity float64 }{ {990647.125, 48.68531043735905108, -3.208940888099671943, 365328.8143785083007, 14.53542662716284001}, {1730647.9333686847, 346.3227699608293767, -2.151500042672265917, 368450.7410464923284, 14.30553896629878483}, {2451545.0, 223.3189003731153751, 5.170885995272171723, 402448.7431750887777, 12.02142669184144213}, {2460770.123456789, 99.20516643712787636, 5.156920731462777075, 378303.2056716878878, 13.57356557811076973}, {2817000.99999, 256.0031142427467021, 3.438015761341575242, 402219.0739759512533, 11.99285384469081927}, {3191874.3956256355, 178.1121054545695063, 1.37109140818496243, 379219.9689425243825, 13.41568168416747773}, {3547272.75, 167.6849402044916958, 5.088592207858965847, 374590.3971822900352, 13.85120063917007945}, } { longitude := HMoonTrueLo(sample.jd) latitude := HMoonTrueBo(sample.jd) distance := HMoonAway(sample.jd) if error := math.Abs(math.Remainder(longitude-sample.longitude, 360)); error > 2e-11 { t.Errorf("jd=%.12f longitude error=%g degrees", sample.jd, error) } if error := math.Abs(latitude - sample.latitude); error > 2e-11 { t.Errorf("jd=%.12f latitude error=%g degrees", sample.jd, error) } if error := math.Abs(distance - sample.distance); error > 1e-5 { t.Errorf("jd=%.12f distance error=%g km", sample.jd, error) } const step = 5.0 / 86400 before, after := sample.jd-step, sample.jd+step velocity := math.Remainder(HMoonTrueLo(after)-HMoonTrueLo(before), 360) / (after - before) if error := math.Abs(velocity - sample.velocity); error > 2e-7 { t.Errorf("jd=%.12f velocity error=%g degrees/day", sample.jd, error) } } } func TestOccultationContactDerivativeNumericalStability(t *testing.T) { config, _ := planetOccultationConfigFor(OccultationMercury) cache := newPlanetOccultationEventCache(config) const tt = 1730647.933368684724 const longitude = 90.88806942770216 const latitude = 29.603106445560446 evaluations := newOccultationRiseSetEvaluationCache(cache.riseSetContextAt) derivative := func(jd float64) float64 { return evaluations.evaluation(jd).contactDerivative(longitude, latitude) } center := derivative(tt) const trendStep = 0.5 / 86400 trend := (derivative(tt+trendStep) - derivative(tt-trendStep)) / (2 * trendStep) ulp := math.Nextafter(tt, math.Inf(1)) - tt for i := -16; i <= 16; i++ { offset := float64(i) * ulp jitter := derivative(tt+offset) - center - trend*offset if math.Abs(jitter) > occultationRiseSetJunctionDerivativeTolerance { t.Fatalf("offset=%g seconds: derivative jitter=%g degrees/day", offset*86400, jitter) } } cache.preparePathEphemeris(tt, OccultationPathAlgorithmOptimized) if cache.local == nil || !cache.local.dense { t.Fatal("smooth exact states must support the checked dense ephemeris") } } // MoonCalcNew 与 HMoonTrueLo 是同一个物理量的两个入口,必须给出同一个值(此前只有一个入口 // 走线性相位补偿,两者差约 1e-9 度)。 func TestMoonCalcNewMatchesHMoonTrueLo(t *testing.T) { for _, jd := range []float64{2451545.0, 2460310.5, 2415020.5, 2299160.5, 2500000.5} { direct := math.Mod(MoonCalcNew(0, jd)*180/math.Pi, 360) if direct < 0 { direct += 360 } high := HMoonTrueLo(jd) if diff := math.Abs(direct - high); diff > 1e-12 { t.Errorf("jd %.1f: MoonCalcNew=%0.15f HMoonTrueLo=%0.15f diff=%.3g deg", jd, direct, high, diff) } } }