b612
044f2f4381
- 新增半解析、旧模型、自定义与多源堆叠星历实例，提供 Context、Instance、SPK 读取及状态与视位置计算 - 统一太阳、月球和行星实例接口，扩展黄经穿越、留、相位、最近角距、偕日可见、任意高度升落、轨道节点及凌日等天象查询 - 完善日月食、月掩与凌日的月缘剖面、有限盘面接触、站心修正、局地可见性、全球路径和地图输出 - 新增 SVG、GeoJSON、KML 天象输出及凌日、月掩和月缘地形相关缓存与几何求解 - 新增恒星星表导入与查询，支持 CSV、Hipparcos、BSC5、Stellarium 等格式及名称、交叉标识、锥面检索和星等过滤 - 补充 IAU 2006、地球定向、折射消光、大气观测、轨道传播及半解析行星/月球数据支持 - 将默认未来民用时标切换为 TimeScaleLeapHour，更新 2027–2400 农历速查表、中文日期解析和时区边界处理 - 增加事件基线、跨模型回归、几何边界、月缘地形和输出契约测试，完善中英文手册、示例资源、NOTICE 与忽略规则
411 lines
18 KiB
Go
411 lines
18 KiB
Go
package basic
|
||
|
||
import (
|
||
"math"
|
||
"testing"
|
||
"time"
|
||
|
||
"b612.me/astro/internal/ephemtest"
|
||
)
|
||
|
||
// 掩带两条横向口径的契约：WidthKM 是中心线采样处的地面横向宽度，南北限是外接触锥的擦边切点轨迹，
|
||
// 限线间距由 LimitSeparationKM 单独给出，两者不相等也不可互相换算。
|
||
|
||
const (
|
||
occultationLimitTangencyToleranceArcsec = 5e-3
|
||
occultationLimitEndpointToleranceArcsec = 0.5
|
||
occultationLimitIndependentTolerance = 1e-4
|
||
occultationLimitExactTolerance = 1e-9
|
||
occultationLimitAnchorToleranceKM = 0.5
|
||
occultationLimitRatioTolerance = 0.002
|
||
// 掠射端点锚点的容差：只钉住端点补采带来的百公里级缺口，不追求末位。
|
||
occultationLimitGrazingAnchorToleranceKM = 0.01
|
||
)
|
||
|
||
type occultationLimitFixture struct {
|
||
name string
|
||
planet OccultationPlanet
|
||
start time.Time
|
||
widthKM float64
|
||
limitSeparationKM float64
|
||
totalWidthKM float64
|
||
limitRatio float64
|
||
centerLineSamples int
|
||
}
|
||
|
||
func occultationLimitFixtures() []occultationLimitFixture {
|
||
return []occultationLimitFixture{
|
||
{
|
||
name: "Jupiter 1962-10-10", planet: OccultationJupiter,
|
||
start: time.Date(1962, time.October, 10, 0, 0, 0, 0, time.UTC),
|
||
widthKM: 5319.263900,
|
||
limitSeparationKM: 3593.197135,
|
||
totalWidthKM: 3385.147026,
|
||
limitRatio: 0.675506,
|
||
centerLineSamples: 12,
|
||
},
|
||
{
|
||
name: "Mars 2025-07-29", planet: OccultationMars,
|
||
start: time.Date(2025, time.July, 29, 0, 0, 0, 0, time.FixedZone("UTC+8", 8*60*60)),
|
||
widthKM: 2190.685431,
|
||
limitSeparationKM: 1819.273229,
|
||
totalWidthKM: 1788.503498,
|
||
limitRatio: 0.830458,
|
||
},
|
||
}
|
||
}
|
||
|
||
func occultationLimitOptions() OccultationPathOptions {
|
||
return OccultationPathOptions{
|
||
Step: 10 * time.Minute, TargetSpacingKM: 900,
|
||
DisableFootprints: true, DisableRiseSet: true,
|
||
}
|
||
}
|
||
|
||
func occultationLimitPath(t *testing.T, fixture occultationLimitFixture) PlanetOccultationPath {
|
||
t.Helper()
|
||
paths, err := FindPlanetOccultationPaths(
|
||
fixture.start, fixture.start.Add(24*time.Hour), fixture.planet, occultationLimitOptions(),
|
||
)
|
||
if err != nil || len(paths) != 1 {
|
||
t.Fatalf("%s: paths=%d err=%v, want one", fixture.name, len(paths), err)
|
||
}
|
||
return paths[0]
|
||
}
|
||
|
||
func occultationLimitExactFrame(t *testing.T, planet OccultationPlanet, centerTT float64) occultationPathFrameFunc {
|
||
t.Helper()
|
||
config, ok := planetOccultationConfigFor(planet)
|
||
if !ok {
|
||
t.Fatalf("%v config is unavailable", planet)
|
||
}
|
||
cache := newPlanetOccultationEventCache(config)
|
||
cache.preparePathEphemeris(centerTT, OccultationPathAlgorithmExact)
|
||
return cache.outerFrameAt
|
||
}
|
||
|
||
func occultationLimitExternalContactGap(t *testing.T, planet OccultationPlanet, point OccultationPathPoint) (float64, bool) {
|
||
t.Helper()
|
||
config, ok := planetOccultationConfigFor(planet)
|
||
if !ok {
|
||
t.Fatalf("%v config is unavailable", planet)
|
||
}
|
||
observer := Observer{Longitude: point.Longitude, Latitude: point.Latitude}
|
||
state := planetOccultationStateAt(centerTimeTT(point.Time), config, &observer, -1)
|
||
if !state.valid {
|
||
return 0, false
|
||
}
|
||
return state.externalContactMetric, true
|
||
}
|
||
|
||
// occultationLimitIndependentGroundWidth 按定义独立重算地面横向宽度：自建接触弧网格并自算地面横向方向。
|
||
func occultationLimitIndependentGroundWidth(tt float64, frameAt occultationPathFrameFunc) (float64, bool) {
|
||
frame, ok := frameAt(tt)
|
||
if !ok {
|
||
return 0, false
|
||
}
|
||
before, beforeOK := frameAt(tt - occultationPathVelocityStepDays)
|
||
after, afterOK := frameAt(tt + occultationPathVelocityStepDays)
|
||
if !beforeOK || !afterOK {
|
||
return 0, false
|
||
}
|
||
center, centerOK := occultationPathTrackReference(frame)
|
||
beforeCenter, beforeCenterOK := occultationPathTrackReference(before)
|
||
afterCenter, afterCenterOK := occultationPathTrackReference(after)
|
||
if !centerOK || !beforeCenterOK || !afterCenterOK {
|
||
return 0, false
|
||
}
|
||
rotation := occultationPathEarthRotationAt(tt)
|
||
centerFixed := occultationPathEarthFixedVectorWithRotation(center, rotation)
|
||
beforeFixed := occultationPathEarthFixedVector(tt-occultationPathVelocityStepDays, beforeCenter)
|
||
afterFixed := occultationPathEarthFixedVector(tt+occultationPathVelocityStepDays, afterCenter)
|
||
polar := occultationPathEarthPolarRatio * occultationPathEarthPolarRatio
|
||
normal := occultationPathUnit(occultationPathVector{x: centerFixed.x, y: centerFixed.y, z: centerFixed.z / polar})
|
||
track := occultationPathSub(afterFixed, beforeFixed)
|
||
track = occultationPathSub(track, occultationPathScale(normal, occultationPathDot(track, normal)))
|
||
if occultationPathNorm(track) <= 1e-12 {
|
||
return 0, false
|
||
}
|
||
cross := occultationPathUnit(occultationPathCross(normal, occultationPathUnit(track)))
|
||
offset := func(vector occultationPathVector) float64 {
|
||
fixed := occultationPathEarthFixedVectorWithRotation(vector, rotation)
|
||
return occultationPathDot(occultationPathSub(fixed, centerFixed), cross)
|
||
}
|
||
minimum, maximum := math.Inf(1), math.Inf(-1)
|
||
consider := func(vector occultationPathVector) {
|
||
value := offset(vector)
|
||
minimum = math.Min(minimum, value)
|
||
maximum = math.Max(maximum, value)
|
||
}
|
||
const probeSamples = 4096
|
||
for _, interval := range occultationPathBoundaryThetaIntervals(frame) {
|
||
for index := 0; index <= probeSamples; index++ {
|
||
theta := interval.left + (interval.right-interval.left)*float64(index)/probeSamples
|
||
if vector, _, pointOK := occultationPathBoundaryVector(frame, theta); pointOK {
|
||
consider(vector)
|
||
}
|
||
}
|
||
// 掠射时横向极值恰好落在可见 θ 区间的相切端点上，端点判别式为 0：等差写法的末样本
|
||
// 与 interval.right 相差 1 ULP，足以把判别式推成负值而丢掉端点，端点必须按原值补采。
|
||
if vector, _, pointOK := occultationPathBoundaryVector(frame, interval.right); pointOK {
|
||
consider(vector)
|
||
}
|
||
}
|
||
for index := 0; index < occultationPathBoundaryScanPoints; index++ {
|
||
if vector, _, pointOK := occultationPathBoundaryVector(frame, 2*math.Pi*float64(index)/float64(occultationPathBoundaryScanPoints)); pointOK {
|
||
consider(vector)
|
||
}
|
||
}
|
||
if !finite(minimum) || !finite(maximum) {
|
||
return 0, false
|
||
}
|
||
return maximum - minimum, true
|
||
}
|
||
|
||
func TestPlanetOccultationLimitTracksAreGrazingTangencies(t *testing.T) {
|
||
for _, fixture := range occultationLimitFixtures() {
|
||
path := occultationLimitPath(t, fixture)
|
||
if len(path.NorthernLimit) != len(path.SouthernLimit) || len(path.NorthernLimit) < 32 {
|
||
t.Fatalf("%s: limit sample counts=%d/%d, want equal and at least 32",
|
||
fixture.name, len(path.NorthernLimit), len(path.SouthernLimit))
|
||
}
|
||
checked := 0
|
||
for _, track := range [][]OccultationPathPoint{path.NorthernLimit, path.SouthernLimit} {
|
||
for index, point := range track {
|
||
gap, ok := occultationLimitExternalContactGap(t, fixture.planet, point)
|
||
if !ok {
|
||
t.Fatalf("%s: limit point %d at %v has no valid contact state", fixture.name, index, point.Time)
|
||
}
|
||
// 首末采样是南北限的公共端点（构造上重合），残差略大，单独放宽。
|
||
if index == 0 || index == len(track)-1 {
|
||
if math.Abs(gap) > occultationLimitEndpointToleranceArcsec {
|
||
t.Fatalf("%s: closure endpoint %d external contact gap=%.6f arcsec, want at most %.6f",
|
||
fixture.name, index, gap, occultationLimitEndpointToleranceArcsec)
|
||
}
|
||
continue
|
||
}
|
||
if index >= 3 && index < len(track)-3 {
|
||
checked++
|
||
}
|
||
if math.Abs(gap) > occultationLimitTangencyToleranceArcsec {
|
||
t.Fatalf("%s: limit point %d at %v external contact gap=%.6f arcsec, want at most %.6f",
|
||
fixture.name, index, point.Time, gap, occultationLimitTangencyToleranceArcsec)
|
||
}
|
||
}
|
||
}
|
||
if checked < 100 {
|
||
t.Fatalf("%s: checked %d interior limit points, want at least 100", fixture.name, checked)
|
||
}
|
||
if separation := occultationPathDistanceKM(path.NorthernLimit[0], path.SouthernLimit[0]); separation != 0 {
|
||
t.Fatalf("%s: start closure separation=%.6f km, want the shared endpoint", fixture.name, separation)
|
||
}
|
||
last := len(path.NorthernLimit) - 1
|
||
if separation := occultationPathDistanceKM(path.NorthernLimit[last], path.SouthernLimit[last]); separation != 0 {
|
||
t.Fatalf("%s: end closure separation=%.6f km, want the shared endpoint", fixture.name, separation)
|
||
}
|
||
}
|
||
}
|
||
|
||
func TestPlanetOccultationWidthKMIsGroundCrossTrackWidth(t *testing.T) {
|
||
for _, fixture := range occultationLimitFixtures() {
|
||
path := occultationLimitPath(t, fixture)
|
||
if len(path.CenterLine) != fixture.centerLineSamples {
|
||
t.Fatalf("%s: center line samples=%d, want %d", fixture.name, len(path.CenterLine), fixture.centerLineSamples)
|
||
}
|
||
frameAt := occultationLimitExactFrame(t, fixture.planet, centerTimeTT(path.Greatest.Time))
|
||
for _, point := range append([]OccultationPathPoint{path.Greatest}, path.CenterLine...) {
|
||
tt := centerTimeTT(point.Time)
|
||
_, _, exact, ok := occultationPathLimitsAndWidthForFrame(tt, frameAt)
|
||
if !ok || exact <= 0 {
|
||
t.Fatalf("%s: width at %v is unavailable", fixture.name, point.Time)
|
||
}
|
||
if difference := math.Abs(point.WidthKM - exact); difference > occultationLimitExactTolerance*exact {
|
||
t.Fatalf("%s: width at %v field=%.9f recomputed=%.9f, want within %.3e relative",
|
||
fixture.name, point.Time, point.WidthKM, exact, occultationLimitExactTolerance)
|
||
}
|
||
independent, ok := occultationLimitIndependentGroundWidth(tt, frameAt)
|
||
if !ok || independent <= 0 {
|
||
t.Fatalf("%s: independent ground width at %v is unavailable", fixture.name, point.Time)
|
||
}
|
||
if difference := math.Abs(point.WidthKM - independent); difference > occultationLimitIndependentTolerance*independent {
|
||
t.Fatalf("%s: width at %v field=%.9f independent ground cross-track width=%.9f, want within %.3e relative",
|
||
fixture.name, point.Time, point.WidthKM, independent, occultationLimitIndependentTolerance)
|
||
}
|
||
}
|
||
for _, point := range path.CenterLine {
|
||
if point.LimitSeparationKM != 0 {
|
||
t.Fatalf("%s: center-line point at %v carries limit separation %.6f, want zero outside limit tracks",
|
||
fixture.name, point.Time, point.LimitSeparationKM)
|
||
}
|
||
}
|
||
}
|
||
}
|
||
|
||
func TestPlanetOccultationLimitSeparationMatchesExportedLimits(t *testing.T) {
|
||
values := ephemtest.NewValues(t, "occultation_limit_anchors")
|
||
for _, fixture := range occultationLimitFixtures() {
|
||
path := occultationLimitPath(t, fixture)
|
||
nearestIndex, nearestDelta := 0, math.Inf(1)
|
||
for index := range path.NorthernLimit {
|
||
if !path.NorthernLimit[index].Time.Equal(path.SouthernLimit[index].Time) {
|
||
t.Fatalf("%s: limit sample %d times differ between tracks", fixture.name, index)
|
||
}
|
||
separation := occultationPathDistanceKM(path.NorthernLimit[index], path.SouthernLimit[index])
|
||
if path.NorthernLimit[index].LimitSeparationKM != separation ||
|
||
path.SouthernLimit[index].LimitSeparationKM != separation {
|
||
t.Fatalf("%s: limit sample %d separations=%.9f/%.9f, want the exported pair distance %.9f",
|
||
fixture.name, index, path.NorthernLimit[index].LimitSeparationKM,
|
||
path.SouthernLimit[index].LimitSeparationKM, separation)
|
||
}
|
||
if delta := math.Abs(centerTimeTT(path.NorthernLimit[index].Time) - centerTimeTT(path.Greatest.Time)); delta < nearestDelta {
|
||
nearestIndex, nearestDelta = index, delta
|
||
}
|
||
}
|
||
nearest := occultationPathDistanceKM(path.NorthernLimit[nearestIndex], path.SouthernLimit[nearestIndex])
|
||
if path.GreatestLimitSeparationKM != nearest {
|
||
t.Fatalf("%s: greatest limit separation=%.9f, want the nearest limit sample pair %.9f at %v",
|
||
fixture.name, path.GreatestLimitSeparationKM, nearest, path.NorthernLimit[nearestIndex].Time)
|
||
}
|
||
for index := range path.NorthernTotalLimit {
|
||
separation := occultationPathDistanceKM(path.NorthernTotalLimit[index], path.SouthernTotalLimit[index])
|
||
if path.NorthernTotalLimit[index].LimitSeparationKM != separation {
|
||
t.Fatalf("%s: total limit sample %d separation=%.9f, want %.9f",
|
||
fixture.name, index, path.NorthernTotalLimit[index].LimitSeparationKM, separation)
|
||
}
|
||
}
|
||
for _, anchor := range []struct {
|
||
name string
|
||
got float64
|
||
want float64
|
||
}{
|
||
{name: "greatest width", got: path.Greatest.WidthKM, want: fixture.widthKM},
|
||
{name: "greatest limit separation", got: path.GreatestLimitSeparationKM, want: fixture.limitSeparationKM},
|
||
{name: "greatest total width", got: path.GreatestTotalWidthKM, want: fixture.totalWidthKM},
|
||
} {
|
||
want := values.Want(fixture.name+"/"+anchor.name, anchor.want, anchor.got)
|
||
if difference := math.Abs(anchor.got - want); difference > occultationLimitAnchorToleranceKM {
|
||
t.Fatalf("%s: %s=%.6f km, want %.6f km within %.3f km",
|
||
fixture.name, anchor.name, anchor.got, want, occultationLimitAnchorToleranceKM)
|
||
}
|
||
}
|
||
ratio := path.GreatestLimitSeparationKM / path.Greatest.WidthKM
|
||
wantRatio := values.Want(fixture.name+"/limit ratio", fixture.limitRatio, ratio)
|
||
if math.Abs(ratio-wantRatio) > occultationLimitRatioTolerance {
|
||
t.Fatalf("%s: limit separation/width=%.6f, want %.6f within %.4f",
|
||
fixture.name, ratio, wantRatio, occultationLimitRatioTolerance)
|
||
}
|
||
if path.GreatestTotalWidthKM >= path.Greatest.WidthKM {
|
||
t.Fatalf("%s: total width=%.6f must stay below the outer width=%.6f",
|
||
fixture.name, path.GreatestTotalWidthKM, path.Greatest.WidthKM)
|
||
}
|
||
}
|
||
}
|
||
|
||
func TestStarOccultationLimitSeparationMatchesExportedLimits(t *testing.T) {
|
||
start := time.Date(2025, time.June, 5, 0, 0, 0, 0, time.UTC)
|
||
paths, err := FindStarOccultationPaths(
|
||
start, start.Add(24*time.Hour), hr4799OccultationCoordinateForTest(),
|
||
OccultationPathOptions{
|
||
Step: 20 * time.Minute, TargetSpacingKM: 900,
|
||
DisableFootprints: true, DisableRiseSet: true,
|
||
},
|
||
)
|
||
if err != nil || len(paths) != 1 {
|
||
t.Fatalf("FindStarOccultationPaths() paths=%d err=%v, want one", len(paths), err)
|
||
}
|
||
path := paths[0]
|
||
nearestIndex, nearestDelta := 0, math.Inf(1)
|
||
for index := range path.NorthernLimit {
|
||
separation := occultationPathDistanceKM(path.NorthernLimit[index], path.SouthernLimit[index])
|
||
if path.NorthernLimit[index].LimitSeparationKM != separation {
|
||
t.Fatalf("limit sample %d separation=%.9f, want %.9f",
|
||
index, path.NorthernLimit[index].LimitSeparationKM, separation)
|
||
}
|
||
if delta := math.Abs(centerTimeTT(path.NorthernLimit[index].Time) - centerTimeTT(path.Greatest.Time)); delta < nearestDelta {
|
||
nearestIndex, nearestDelta = index, delta
|
||
}
|
||
}
|
||
nearest := occultationPathDistanceKM(path.NorthernLimit[nearestIndex], path.SouthernLimit[nearestIndex])
|
||
if path.GreatestLimitSeparationKM != nearest {
|
||
t.Fatalf("greatest limit separation=%.9f, want %.9f", path.GreatestLimitSeparationKM, nearest)
|
||
}
|
||
if math.Abs(path.Greatest.WidthKM-3582.363599) > occultationLimitAnchorToleranceKM ||
|
||
math.Abs(path.GreatestLimitSeparationKM-3666.576690) > occultationLimitAnchorToleranceKM {
|
||
t.Fatalf("greatest width=%.6f limit separation=%.6f, want 3582.363599 and 3666.576690 within %.3f km",
|
||
path.Greatest.WidthKM, path.GreatestLimitSeparationKM, occultationLimitAnchorToleranceKM)
|
||
}
|
||
ratio := path.GreatestLimitSeparationKM / path.Greatest.WidthKM
|
||
if math.Abs(ratio-1.023508) > occultationLimitRatioTolerance {
|
||
t.Fatalf("greatest limit separation/width=%.6f, want 1.023508 within %.4f", ratio, occultationLimitRatioTolerance)
|
||
}
|
||
}
|
||
|
||
// TestPlanetOccultationGrazingEndpointWidthAnchors 钉住两个掠射相切端点样本的带宽。
|
||
//
|
||
// 这两个时刻的横向极值恰好落在可见 θ 区间的相切端点上，只能靠端点原值取到：等差写法
|
||
// left+(right-left)*n/n 与端点相差 1 ULP，该 ULP 会把端点判别式推成负值而被判"无地面交点"，
|
||
// 于是 Saturn 2024-08-21 的 CenterLine[160] 少 47.9 km（3810.7491 对 3858.7641）、
|
||
// Venus 1227-05-19 的 CenterLine[15] 少 158.6 km（6047.4858 对 6206.0535）。
|
||
func TestPlanetOccultationGrazingEndpointWidthAnchors(t *testing.T) {
|
||
// 夹具按旧模型几何选取，用来覆盖该边界分支。
|
||
ephemtest.PinLegacy(t)
|
||
testCases := []struct {
|
||
name string
|
||
planet OccultationPlanet
|
||
start time.Time
|
||
options OccultationPathOptions
|
||
tt float64
|
||
widthKM float64
|
||
}{
|
||
{
|
||
name: "Saturn 2024-08-21 center-line[160]", planet: OccultationSaturn,
|
||
start: time.Date(2024, time.August, 21, 0, 0, 0, 0, time.UTC),
|
||
tt: 2460543.661859489,
|
||
widthKM: 3858.7641,
|
||
},
|
||
{
|
||
name: "Venus 1227-05-19 center-line[15]", planet: OccultationVenus,
|
||
start: time.Date(1227, time.May, 18, 12, 0, 0, 0, time.UTC),
|
||
options: OccultationPathOptions{
|
||
Algorithm: OccultationPathAlgorithmExact, Step: 20 * time.Minute,
|
||
TargetSpacingKM: 900, DisableFootprints: true, RiseSetStep: time.Minute,
|
||
},
|
||
tt: 2169357.811307699,
|
||
widthKM: 6206.0535,
|
||
},
|
||
}
|
||
for _, tc := range testCases {
|
||
t.Run(tc.name, func(t *testing.T) {
|
||
paths, err := FindPlanetOccultationPaths(tc.start, tc.start.Add(24*time.Hour), tc.planet, tc.options)
|
||
if err != nil || len(paths) != 1 {
|
||
t.Fatalf("paths=%d err=%v, want one", len(paths), err)
|
||
}
|
||
path := paths[0]
|
||
frameAt := occultationLimitExactFrame(t, tc.planet, centerTimeTT(path.Greatest.Time))
|
||
matched := 0
|
||
for _, point := range append([]OccultationPathPoint{path.Greatest}, path.CenterLine...) {
|
||
tt := centerTimeTT(point.Time)
|
||
if math.Abs(tt-tc.tt) > 1e-6 {
|
||
continue
|
||
}
|
||
matched++
|
||
if difference := math.Abs(point.WidthKM - tc.widthKM); difference > occultationLimitGrazingAnchorToleranceKM {
|
||
t.Fatalf("width at %v = %.6f km, want %.4f within %.4f km",
|
||
point.Time, point.WidthKM, tc.widthKM, occultationLimitGrazingAnchorToleranceKM)
|
||
}
|
||
independent, ok := occultationLimitIndependentGroundWidth(tt, frameAt)
|
||
if !ok || independent <= 0 {
|
||
t.Fatalf("independent ground width at %v is unavailable", point.Time)
|
||
}
|
||
if difference := math.Abs(point.WidthKM - independent); difference > occultationLimitIndependentTolerance*independent {
|
||
t.Fatalf("width at %v field=%.9f independent=%.9f, want within %.3e relative",
|
||
point.Time, point.WidthKM, independent, occultationLimitIndependentTolerance)
|
||
}
|
||
}
|
||
if matched != 1 {
|
||
t.Fatalf("matched %d samples at tt=%.9f, want exactly one", matched, tc.tt)
|
||
}
|
||
})
|
||
}
|
||
}
|