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

moon/occultation_path_test.go

@@ -5,8 +5,41 @@ import (
 	"math"
 	"testing"
 	"time"
+
+	"b612.me/astro/basic"
 )
 
+func TestStarOccultationBoundaryTimesRemainStrictAfterAdaptiveConvergence(t *testing.T) {
+	data, err := basic.StarDataByChinese("进贤增九")
+	if err != nil {
+		t.Fatal(err)
+	}
+	star, err := StarCoordinateFromStarData(data)
+	if err != nil {
+		t.Fatal(err)
+	}
+	for _, date := range []time.Time{
+		time.Date(2033, time.March, 17, 0, 0, 0, 0, time.UTC),
+		time.Date(2050, time.December, 8, 0, 0, 0, 0, time.UTC),
+	} {
+		paths, err := FindStarOccultationPaths(date, date.Add(24*time.Hour), star,
+			OccultationPathOptions{Step: 10 * time.Minute, DisableFootprints: true, DisableRiseSet: true})
+		if err != nil {
+			t.Fatalf("%s: FindStarOccultationPaths: %v", date.Format("2006-01-02"), err)
+		}
+		if len(paths) == 0 {
+			t.Fatalf("%s: no occultation path", date.Format("2006-01-02"))
+		}
+		for _, points := range [][]OccultationPathPoint{paths[0].NorthernLimit, paths[0].SouthernLimit, paths[0].CenterLine} {
+			for index := 1; index < len(points); index++ {
+				if !points[index].Time.After(points[index-1].Time) {
+					t.Fatalf("%s: non-increasing path time at %d: %s then %s", date.Format("2006-01-02"), index, points[index-1].Time, points[index].Time)
+				}
+			}
+		}
+	}
+}
+
 func TestFindStarOccultationPathsHR4799(t *testing.T) {
 	location := time.FixedZone("CST", 8*3600)
 	star := StarCoordinate{
@@ -221,6 +254,7 @@ func BenchmarkFindStarOccultationPathTargetSpacing(b *testing.B) {
 	star := hr4799CoordinateForTest()
 	for _, spacing := range []float64{1, 10, 200} {
 		b.Run(fmt.Sprintf("%.0fkm", spacing), func(b *testing.B) {
+			b.ReportAllocs()
 			for i := 0; i < b.N; i++ {
 				paths, err := FindStarOccultationPaths(
 					time.Date(2025, 6, 5, 0, 0, 0, 0, location),