85 lines
3.4 KiB
Go
85 lines
3.4 KiB
Go
|
package basic
|
||
|
|
|
||
|
|
import (
|
||
|
|
"math"
|
||
|
|
"testing"
|
||
|
|
)
|
||
|
|
|
||
|
|
// 等值线追踪走插值星历，但每个输出点都必须满足精确星历下的食分 / contour tracing uses the
|
||
|
|
// interpolator, yet every output point must satisfy the target magnitude under exact ephemerides.
|
||
|
|
func TestSolarEclipseMagnitudeContoursExactAtOutputPoints(t *testing.T) {
|
||
|
|
cases := []struct {
|
||
|
|
name string
|
||
|
|
year, month int
|
||
|
|
day float64
|
||
|
|
deltaTSeconds float64
|
||
|
|
}{
|
||
|
|
{"2023-04-20 hybrid", 2023, 4, 20, 0},
|
||
|
|
{"2024-04-08 total", 2024, 4, 8, 0},
|
||
|
|
{"2022-10-25 partial", 2022, 10, 25, 0},
|
||
|
|
{"2027-08-02 total explicit ΔT", 2027, 8, 2, 75},
|
||
|
|
}
|
||
|
|
magnitudes := []float64{0.2, 0.5, 0.8}
|
||
|
|
for _, tc := range cases {
|
||
|
|
seed := JDCalc(tc.year, tc.month, tc.day)
|
||
|
|
result := SolarEclipsePartialFootprints(seed, SolarEclipsePartialFootprintOptions{
|
||
|
|
StepDays: 5.0 / 1440, BoundaryPoints: 48, MagnitudeValues: magnitudes,
|
||
|
|
DeltaTSeconds: tc.deltaTSeconds,
|
||
|
|
})
|
||
|
|
solver := newSolarEclipseSolverWithOptions(solarEclipseAnchorNewMoon(seed), SolarEclipseOptions{
|
||
|
|
RadiusModel: SolarEclipseModelNASABulletinSplitK,
|
||
|
|
}).withDeltaTSeconds(tc.deltaTSeconds)
|
||
|
|
if len(result.MagnitudeContours) != len(magnitudes) {
|
||
|
|
t.Fatalf("%s: %d contours, want %d", tc.name, len(result.MagnitudeContours), len(magnitudes))
|
||
|
|
}
|
||
|
|
for _, contour := range result.MagnitudeContours {
|
||
|
|
points := 0
|
||
|
|
for _, segment := range contour.Segments {
|
||
|
|
for _, point := range segment {
|
||
|
|
// 端点可能由地平线或混合食分支精修得到，只检查追踪内点 / endpoints may come
|
||
|
|
// from horizon or hybrid refinement; only traced interior points are checked.
|
||
|
|
if point.SunAltitude < 0.05 {
|
||
|
|
continue
|
||
|
|
}
|
||
|
|
state := solver.localStateContextAt(point.JDE).stateAt(point.Longitude*rad, point.Latitude*rad, 0)
|
||
|
|
got := solarEclipseMagnitudeAtTarget(state, contour.Magnitude)
|
||
|
|
if math.IsNaN(got) || math.Abs(got-contour.Magnitude) > 1e-6 {
|
||
|
|
t.Fatalf("%s m=%.1f point (%.6f, %.6f) at %.8f: exact magnitude %.9f",
|
||
|
|
tc.name, contour.Magnitude, point.Longitude, point.Latitude, point.JDE, got)
|
||
|
|
}
|
||
|
|
points++
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if points < 20 {
|
||
|
|
t.Fatalf("%s m=%.1f: only %d interior points checked", tc.name, contour.Magnitude, points)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// 追踪依赖的插值误差在事件 ±4 小时内远低于等值线容差 / interpolation error over ±4 h stays far below contour tolerance.
|
||
|
|
func TestSolarEclipseLocalEphemerisAngularErrorForContours(t *testing.T) {
|
||
|
|
center := CalcMoonSHByJDE(JDCalc(2024, 4, 8), 0)
|
||
|
|
ephemeris := newSolarEclipseLocalEphemeris(center)
|
||
|
|
maxArcsec := 0.0
|
||
|
|
for step := -1440; step <= 1440; step++ {
|
||
|
|
jde := center + float64(step)*10.0/86400
|
||
|
|
sun, moon, ok := ephemeris.equatorialAt(jde)
|
||
|
|
if !ok {
|
||
|
|
t.Fatalf("interpolator rejected %+.4f d", jde-center)
|
||
|
|
}
|
||
|
|
wantSun, wantMoon := solarEclipseSunMoonEquatorial(jde)
|
||
|
|
for _, pair := range [][2][3]float64{{sun, wantSun}, {moon, wantMoon}} {
|
||
|
|
got := solarEclipseLLRToXYZ(pair[0][0], pair[0][1], pair[0][2])
|
||
|
|
want := solarEclipseLLRToXYZ(pair[1][0], pair[1][1], pair[1][2])
|
||
|
|
cross := [3]float64{got[1]*want[2] - got[2]*want[1], got[2]*want[0] - got[0]*want[2], got[0]*want[1] - got[1]*want[0]}
|
||
|
|
dot := got[0]*want[0] + got[1]*want[1] + got[2]*want[2]
|
||
|
|
arcsec := math.Atan2(math.Sqrt(cross[0]*cross[0]+cross[1]*cross[1]+cross[2]*cross[2]), dot) / rad * 3600
|
||
|
|
maxArcsec = math.Max(maxArcsec, arcsec)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if maxArcsec > 1e-3 {
|
||
|
|
t.Fatalf("max interpolation error %.3e arcsec, want <= 1e-3", maxArcsec)
|
||
|
|
}
|
||
|
|
}
|