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

lite/moon/perf_bench_test.go

@@ -0,0 +1,84 @@
+package moon
+
+import (
+	"testing"
+	"time"
+
+	"b612.me/astro/basic"
+	lite "b612.me/astro/lite/internal"
+)
+
+var benchmarkHorizontalSink float64
+
+func benchmarkHorizontalInputs() (time.Time, float64, float64) {
+	return time.Date(2026, 1, 1, 0, 0, 0, 0, time.FixedZone("CST", 8*3600)), 121.4737, 31.2304
+}
+
+func BenchmarkMoonHourAngle(b *testing.B) {
+	date, lon, lat := benchmarkHorizontalInputs()
+	b.ReportAllocs()
+	b.ResetTimer()
+	sink := 0.0
+	for i := 0; i < b.N; i++ {
+		sink = HourAngle(date, lon, lat)
+	}
+	benchmarkHorizontalSink = sink
+}
+
+func BenchmarkMoonAzimuth(b *testing.B) {
+	date, lon, lat := benchmarkHorizontalInputs()
+	b.ReportAllocs()
+	b.ResetTimer()
+	sink := 0.0
+	for i := 0; i < b.N; i++ {
+		sink = Azimuth(date, lon, lat)
+	}
+	benchmarkHorizontalSink = sink
+}
+
+func BenchmarkMoonAltitude(b *testing.B) {
+	date, lon, lat := benchmarkHorizontalInputs()
+	b.ReportAllocs()
+	b.ResetTimer()
+	sink := 0.0
+	for i := 0; i < b.N; i++ {
+		sink = Altitude(date, lon, lat)
+	}
+	benchmarkHorizontalSink = sink
+}
+
+func BenchmarkMoonZenith(b *testing.B) {
+	date, lon, lat := benchmarkHorizontalInputs()
+	b.ReportAllocs()
+	b.ResetTimer()
+	sink := 0.0
+	for i := 0; i < b.N; i++ {
+		sink = Zenith(date, lon, lat)
+	}
+	benchmarkHorizontalSink = sink
+}
+
+func BenchmarkMoonHorizontalLegacy(b *testing.B) {
+	date, lon, lat := benchmarkHorizontalInputs()
+	jd := basic.Date2JDE(date.UTC())
+	entries := []struct {
+		name string
+		pick func(altitude, azimuth, hourAngle float64) float64
+	}{
+		{"HourAngle", func(_, _, hourAngle float64) float64 { return hourAngle }},
+		{"Azimuth", func(_, azimuth, _ float64) float64 { return azimuth }},
+		{"Altitude", func(altitude, _, _ float64) float64 { return altitude }},
+		{"Zenith", func(altitude, _, _ float64) float64 { return 90 - altitude }},
+	}
+	for _, entry := range entries {
+		b.Run(entry.name, func(b *testing.B) {
+			b.ReportAllocs()
+			b.ResetTimer()
+			sink := 0.0
+			for i := 0; i < b.N; i++ {
+				sink = entry.pick(lite.HorizontalCoordinates(ApparentRa(date, lon, lat), ApparentDec(date, lon, lat), jd, lon, lat))
+			}
+			benchmarkHorizontalSink = sink
+		})
+	}
+}