package sundial import ( "math" "testing" "time" "b612.me/astro/sun" ) func TestPlanarShadowPointMatchesBookExamples(t *testing.T) { dial := PlanarDial{ Latitude: 40, PlaneNormalAzimuth: 250, PlaneNormalZenithDistance: 50, StylusLength: 1, } point := dial.ShadowPointByHourAngleDeclination(30, 23.44) assertClose(t, "58a x", point.X, -0.0390, 1e-4) assertClose(t, "58a y", point.Y, -0.3615, 1e-4) if !point.Illuminated { t.Fatalf("58a point should be illuminated") } point = dial.ShadowPointByHourAngleDeclination(-15, -11.47) assertClose(t, "58a x second", point.X, -2.0007, 1e-4) assertClose(t, "58a y second", point.Y, -1.1069, 1e-4) if !point.Illuminated { t.Fatalf("58a second point should be illuminated") } } func TestPlanarGeometryMatchesBookExamples(t *testing.T) { dial := PlanarDial{ Latitude: 40, PlaneNormalAzimuth: 250, PlaneNormalZenithDistance: 50, StylusLength: 1, } geometry := dial.Geometry() if !geometry.HasFiniteCenter { t.Fatalf("58a geometry should have finite center") } assertClose(t, "58a center x", geometry.CenterX, 3.3880, 1e-4) assertClose(t, "58a center y", geometry.CenterY, -3.1102, 1e-4) assertClose(t, "58a polar angle", geometry.PolarStylusPlaneAngle, 12.2672, 5e-4) vertical := VerticalDial(-35, 340, 1) point := vertical.ShadowPointByHourAngleDeclination(45, 0) assertClose(t, "58b x first", point.X, -0.8439, 1e-4) assertClose(t, "58b y first", point.Y, -0.9298, 1e-4) point = vertical.ShadowPointByHourAngleDeclination(0, 20.15) assertClose(t, "58b x second", point.X, 0.3640, 1e-4) assertClose(t, "58b y second", point.Y, -0.7410, 1e-4) geometry = vertical.Geometry() if !geometry.HasFiniteCenter { t.Fatalf("58b geometry should have finite center") } assertClose(t, "58b center x", geometry.CenterX, 0.3640, 1e-4) assertClose(t, "58b center y", geometry.CenterY, 0.7451, 1e-4) assertClose(t, "58b polar angle", geometry.PolarStylusPlaneAngle, 50.3315, 5e-4) } func TestPlanarIlluminationMatchesBookExample58c(t *testing.T) { dial := PlanarDial{ Latitude: 40, PlaneNormalAzimuth: 340, PlaneNormalZenithDistance: 75, StylusLength: 1, } declination := 23.44 if !dial.ShadowPointByHourAngleDeclination(-105, declination).Illuminated { t.Fatalf("58c -105° should be illuminated") } if !dial.ShadowPointByHourAngleDeclination(-90, declination).Illuminated { t.Fatalf("58c -90° should be illuminated") } if dial.ShadowPointByHourAngleDeclination(-75, declination).PlaneIlluminated { t.Fatalf("58c -75° should leave the plane unilluminated") } if dial.ShadowPointByHourAngleDeclination(0, declination).PlaneIlluminated { t.Fatalf("58c 0° should remain unilluminated on the plane") } if !dial.ShadowPointByHourAngleDeclination(15, declination).Illuminated { t.Fatalf("58c +15° should be illuminated again") } if !dial.ShadowPointByHourAngleDeclination(105, declination).Illuminated { t.Fatalf("58c +105° should be illuminated") } } func TestSunAboveHorizonHourAngleIntervals(t *testing.T) { intervals := SunAboveHorizonHourAngleIntervals(40, 0) if len(intervals) != 1 { t.Fatalf("expected one horizon interval, got %d", len(intervals)) } assertClose(t, "equinox rise", intervals[0].Start, -90, 1e-12) assertClose(t, "equinox set", intervals[0].End, 90, 1e-12) if len(SunAboveHorizonHourAngleIntervals(80, -23.44)) != 0 { t.Fatalf("polar night should have no above-horizon interval") } intervals = SunAboveHorizonHourAngleIntervals(80, 23.44) if len(intervals) != 1 || intervals[0].Start != -180 || intervals[0].End != 180 { t.Fatalf("polar day should cover the full day, got %+v", intervals) } } func TestIlluminatedHourAngleIntervalsMatchBookExample58c(t *testing.T) { dial := PlanarDial{ Latitude: 40, PlaneNormalAzimuth: 340, PlaneNormalZenithDistance: 75, StylusLength: 1, } intervals := dial.IlluminatedHourAngleIntervals(23.44) if len(intervals) != 2 { t.Fatalf("expected two illuminated intervals, got %d", len(intervals)) } assertClose(t, "58c first start", intervals[0].Start, -111.33, 0.05) assertClose(t, "58c first end", intervals[0].End, -84, 1.0) assertClose(t, "58c second start", intervals[1].Start, 2, 1.0) assertClose(t, "58c second end", intervals[1].End, 111, 1.0) } func TestDeclinationCurveSplitsByIlluminationIntervals(t *testing.T) { dial := PlanarDial{ Latitude: 40, PlaneNormalAzimuth: 340, PlaneNormalZenithDistance: 75, StylusLength: 1, } segments := dial.DeclinationCurve(23.44, 15) if len(segments) != 2 { t.Fatalf("expected two curve segments, got %d", len(segments)) } assertClose(t, "segment first start", segments[0].Interval.Start, -111.33, 0.05) assertClose(t, "segment first end", segments[0].Interval.End, -84, 1.0) assertClose(t, "segment second start", segments[1].Interval.Start, 2, 1.0) assertClose(t, "segment second end", segments[1].Interval.End, 111, 1.0) firstHours := []float64{-105, -90} secondHours := []float64{15, 30, 45, 60, 75, 90, 105} if len(segments[0].Samples) != len(firstHours) { t.Fatalf("unexpected first segment sample count: got %d want %d", len(segments[0].Samples), len(firstHours)) } if len(segments[1].Samples) != len(secondHours) { t.Fatalf("unexpected second segment sample count: got %d want %d", len(segments[1].Samples), len(secondHours)) } for index, hourAngle := range firstHours { assertClose(t, "first segment hour angle", segments[0].Samples[index].HourAngle, hourAngle, 1e-12) if !segments[0].Samples[index].Point.Illuminated { t.Fatalf("first segment sample %d should be illuminated", index) } } for index, hourAngle := range secondHours { assertClose(t, "second segment hour angle", segments[1].Samples[index].HourAngle, hourAngle, 1e-12) if !segments[1].Samples[index].Point.Illuminated { t.Fatalf("second segment sample %d should be illuminated", index) } } } func TestDeclinationCurveAtMatchesDeclinationChain(t *testing.T) { dial := HorizontalDial(31.2304, 1) date := time.Date(2026, 6, 21, 9, 30, 0, 0, time.FixedZone("CST", 8*3600)) got := dial.DeclinationCurveAt(date, 15) want := dial.DeclinationCurve(sunDeclination(date), 15) if len(got) != len(want) { t.Fatalf("segment count mismatch: got %d want %d", len(got), len(want)) } for segmentIndex := range got { assertClose(t, "curve start", got[segmentIndex].Interval.Start, want[segmentIndex].Interval.Start, 1e-12) assertClose(t, "curve end", got[segmentIndex].Interval.End, want[segmentIndex].Interval.End, 1e-12) if len(got[segmentIndex].Samples) != len(want[segmentIndex].Samples) { t.Fatalf("sample count mismatch in segment %d: got %d want %d", segmentIndex, len(got[segmentIndex].Samples), len(want[segmentIndex].Samples)) } } } func TestMeanSolarTimePointMatchesHourAngleDeclinationChain(t *testing.T) { dial := HorizontalDial(31.2304, 1) lon := 121.4737 date := MeanSolarTime(time.Date(2026, 6, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), lon) meanSolarHours := 9.5 sampleTime := dateWithClockHours(date, meanSolarHours) got := dial.MeanSolarTimePoint(date, meanSolarHours) want := dial.ShadowPointByHourAngleDeclination(HourAngle(sampleTime, longitudeFromTimeZone(sampleTime)), sunDeclination(sampleTime)) assertClose(t, "mean solar point x", got.X, want.X, 1e-12) assertClose(t, "mean solar point y", got.Y, want.Y, 1e-12) if got.Illuminated != want.Illuminated { t.Fatalf("mean solar point illumination mismatch: got %v want %v", got.Illuminated, want.Illuminated) } } func TestZoneTimePointMatchesHourAngleDeclinationChain(t *testing.T) { dial := HorizontalDial(31.2304, 1) date := time.Date(2026, 6, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)) lon := 121.4737 zoneTimeHours := 9.5 sampleTime := dateWithClockHours(date, zoneTimeHours) got := dial.ZoneTimePoint(date, lon, zoneTimeHours) want := dial.ShadowPointByHourAngleDeclination(HourAngle(sampleTime, lon), sunDeclination(sampleTime)) assertClose(t, "zone time point x", got.X, want.X, 1e-12) assertClose(t, "zone time point y", got.Y, want.Y, 1e-12) if got.Illuminated != want.Illuminated { t.Fatalf("zone time point illumination mismatch: got %v want %v", got.Illuminated, want.Illuminated) } } func TestMeanSolarAndZoneTimeLinesMatchPointHelpers(t *testing.T) { dial := HorizontalDial(31.2304, 1) lon := 121.4737 dates := []time.Time{ MeanSolarTime(time.Date(2026, 3, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), lon), MeanSolarTime(time.Date(2026, 6, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), lon), MeanSolarTime(time.Date(2026, 9, 23, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), lon), } meanSolarHours := 10.0 zoneTimeHours := 10.0 meanSamples := dial.MeanSolarTimeLine(dates, meanSolarHours) if len(meanSamples) != len(dates) { t.Fatalf("mean-solar line sample count mismatch: got %d want %d", len(meanSamples), len(dates)) } for index, sample := range meanSamples { expectedTime := dateWithClockHours(dates[index], meanSolarHours) if !sample.Date.Equal(expectedTime) { t.Fatalf("mean-solar line sample instant mismatch at %d: got %s want %s", index, sample.Date, expectedTime) } assertClose(t, "mean-solar line hour angle", sample.HourAngle, HourAngle(expectedTime, longitudeFromTimeZone(expectedTime)), 1e-12) assertClose(t, "mean-solar line declination", sample.Declination, sunDeclination(expectedTime), 1e-12) assertClose(t, "mean-solar line x", sample.Point.X, dial.MeanSolarTimePoint(dates[index], meanSolarHours).X, 1e-12) assertClose(t, "mean-solar line y", sample.Point.Y, dial.MeanSolarTimePoint(dates[index], meanSolarHours).Y, 1e-12) } zoneDates := []time.Time{ time.Date(2026, 3, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), time.Date(2026, 6, 21, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), time.Date(2026, 9, 23, 12, 0, 0, 0, time.FixedZone("CST", 8*3600)), } zoneSamples := dial.ZoneTimeLine(zoneDates, lon, zoneTimeHours) if len(zoneSamples) != len(dates) { t.Fatalf("zone-time line sample count mismatch: got %d want %d", len(zoneSamples), len(dates)) } for index, sample := range zoneSamples { expectedTime := dateWithClockHours(zoneDates[index], zoneTimeHours) if !sample.Date.Equal(expectedTime) { t.Fatalf("zone-time line sample instant mismatch at %d: got %s want %s", index, sample.Date, expectedTime) } assertClose(t, "zone-time line hour angle", sample.HourAngle, HourAngle(expectedTime, lon), 1e-12) assertClose(t, "zone-time line declination", sample.Declination, sunDeclination(expectedTime), 1e-12) assertClose(t, "zone-time line x", sample.Point.X, dial.ZoneTimePoint(zoneDates[index], lon, zoneTimeHours).X, 1e-12) assertClose(t, "zone-time line y", sample.Point.Y, dial.ZoneTimePoint(zoneDates[index], lon, zoneTimeHours).Y, 1e-12) } } func TestSpecialDialConstructorsMatchKnownGeometry(t *testing.T) { horizontal := HorizontalDial(45, 1) geometry := horizontal.Geometry() if !geometry.HasFiniteCenter { t.Fatalf("horizontal dial should have finite center") } assertClose(t, "horizontal center x", geometry.CenterX, 0, 1e-12) assertClose(t, "horizontal center y", geometry.CenterY, -1, 1e-12) assertClose(t, "horizontal polar length", geometry.PolarStylusLength, math.Sqrt2, 1e-12) assertClose(t, "horizontal polar angle", geometry.PolarStylusPlaneAngle, 45, 1e-12) equatorialNorth := EquatorialNorthDial(40, 1) geometry = equatorialNorth.Geometry() if !geometry.HasFiniteCenter { t.Fatalf("equatorial north dial should have finite center") } assertClose(t, "equatorial north center x", geometry.CenterX, 0, 1e-12) assertClose(t, "equatorial north center y", geometry.CenterY, 0, 1e-12) assertClose(t, "equatorial north polar length", geometry.PolarStylusLength, 1, 1e-12) assertClose(t, "equatorial north polar angle", geometry.PolarStylusPlaneAngle, 90, 1e-12) equatorialSouth := EquatorialSouthDial(40, 1) geometry = equatorialSouth.Geometry() if !geometry.HasFiniteCenter { t.Fatalf("equatorial south dial should have finite center") } assertClose(t, "equatorial south center x", geometry.CenterX, 0, 1e-12) assertClose(t, "equatorial south center y", geometry.CenterY, 0, 1e-12) assertClose(t, "equatorial south polar length", geometry.PolarStylusLength, 1, 1e-12) assertClose(t, "equatorial south polar angle", geometry.PolarStylusPlaneAngle, 90, 1e-12) } func TestShadowPointAtMatchesHourAngleDeclinationChain(t *testing.T) { dial := HorizontalDial(31.2304, 1) date := time.Date(2026, 6, 21, 9, 30, 0, 0, time.FixedZone("CST", 8*3600)) lon := 121.4737 got := dial.ShadowPointAt(date, lon) want := dial.ShadowPointByHourAngleDeclination(HourAngle(date, lon), sunDeclination(date)) assertClose(t, "point at x", got.X, want.X, 1e-12) assertClose(t, "point at y", got.Y, want.Y, 1e-12) if got.Illuminated != want.Illuminated { t.Fatalf("illumination chain mismatch: got %v want %v", got.Illuminated, want.Illuminated) } } func TestPlanarGeometryDegeneratesWhenPolarStylusParallelToPlane(t *testing.T) { dial := PlanarDial{ Latitude: 45, PlaneNormalAzimuth: 180, PlaneNormalZenithDistance: 45, StylusLength: 1, } geometry := dial.Geometry() if geometry.HasFiniteCenter { t.Fatalf("degenerate geometry should not have a finite center") } if !math.IsNaN(geometry.CenterX) || !math.IsNaN(geometry.CenterY) || !math.IsNaN(geometry.PolarStylusLength) { t.Fatalf("degenerate geometry should return NaN finite quantities") } assertClose(t, "degenerate polar angle", geometry.PolarStylusPlaneAngle, 0, 1e-12) } func sunDeclination(date time.Time) float64 { return sun.ApparentDec(date) } func assertClose(t *testing.T, name string, got, want, tol float64) { t.Helper() if math.IsNaN(got) || math.Abs(got-want) > tol { t.Fatalf("%s mismatch: got %.12f want %.12f tol %.12f", name, got, want, tol) } }