Created a spreadsheet of function dependencies for planning Go implementation.

dependencies/dependencies.txt

@@ -0,0 +1,627 @@
+AstroTime
+    TerrestrialTime
+    UniversalTime
+    UniversalTimeFromCalendar
+    AddDays
+    CalendarDateTime
+
+DefineStar
+MassProduct
+LongitudeOffset
+NormalizeLongitude
+
+DeltaT
+    DeltaT_EspenakMeeus
+
+TerrestrialTime
+    DeltaT
+
+UniversalTime
+    TerrestrialTime
+
+CalcVsop
+    VsopFormulaCalc
+    VsopSphereToRect
+    VsopRotate
+
+MajorBodiesAcceleration
+    MajorBodiesAccelerationIncrement
+
+CalcVsopPosVel
+    VsopFormulaCalc
+    VsopSphereToRect
+    VsopDerivCalc
+    VsopRotate
+
+AdjustBarycenterPosVel
+    CalcVsopPosVel
+
+MajorBodyBary
+    AdjustBarycenterPosVel
+
+GravSim
+    MajorBodyBary
+    UpdatePosition
+    MajorBodiesAcceleration
+
+GravFromState
+    MajorBodyBary
+
+GetSegment
+    ClampIndex
+    GravFromState
+    GravSim
+
+CalcPlutoOneWay
+    GravFromState
+    GravSim
+
+CalcPluto
+    GetSegment
+    CalcPlutoOneWay
+    ClampIndex
+    UpdatePosition
+    UpdateVelocity
+    MajorBodyBary
+
+CalcJupiterMoon
+    JupiterMoon_elem2pv
+
+JupiterMoons
+    CalcJupiterMoon
+
+precession
+    precession_rot
+
+precession_posvel
+    precession_rot
+    RotateState
+
+e_tilt
+    iau2000b
+    mean_obliq
+
+inverse_terra
+    SiderealTime
+
+terra
+    SiderealTime
+
+nutation_rot
+    e_tilt
+
+nutation
+    nutation_rot
+    RotateVector
+
+nutation_posvel
+    nutation_rot
+    RotateState
+
+gyration
+    precession
+    nutation
+
+gyration_posvel
+    precession_posvel
+    nutation_posvel
+
+geo_pos
+    terra
+    gyration
+
+ecl2equ_vec
+    mean_obliq
+
+GeoMoon
+    CalcMoon
+    ecl2equ_vec
+    precession
+
+EclipticGeoMoon
+    CalcMoon
+    e_tilt
+    ecl2equ_vec
+    nutation
+    RotateEquatorialToEcliptic
+
+GeoMoonState
+    AddDays
+    GeoMoon
+
+GeoEmbState
+    GeoMoonState
+
+Libration
+    CalcMoon
+    NormalizeLongitude
+    LongitudeOffset
+
+BarycenterContrib
+    CalcVsop
+
+CalcSolarSystemBarycenter
+    BarycenterContrib
+
+HelioVector
+    CalcVsop
+    CalcPluto
+    GeoMoon
+    CalcEarth
+    CalcSolarSystemBarycenter
+    UserDefinedStar
+    VectorFromSphere
+
+HelioDistance
+    VsopFormulaCalc
+    UserDefinedStar
+    HelioVector
+
+CalcEarth
+    CalcVsop
+
+CorrectLightTravel
+    AddDays
+
+BackdatePosition
+    UserDefinedStar
+    HelioVector
+    HelioState
+    CorrectLightTravel
+
+GeoVector
+    GeoMoon
+    BackdatePosition
+
+BaryState
+    CalcPluto
+    MajorBodyBary
+    ExportState
+    CalcVsopPosVel
+    GeoMoonState
+    GeoEmbState
+    CalcVsopPosVel
+
+HelioState
+    MajorBodyBary
+    CalcVsopPosVel
+    ExportState
+    CalcPluto
+    GeoMoonState
+    GeoEmbState
+    HelioVector
+
+Equator
+    geo_pos
+    GeoVector
+    gyration
+    EquatorFromVector
+
+ObserverVector
+    ObserverState
+
+ObserverState
+    terra
+    gyration_posvel
+
+VectorObserver
+    gyration
+    inverse_terra
+
+ObserverGravity
+
+Horizon
+    SiderealTime
+    spin
+    RefractionAngle
+
+SunPosition
+    AddDays
+    CalcEarth
+    gyration
+    e_tilt
+    RotateEquatorialToEcliptic
+
+EquatorialToEcliptic
+    e_tilt
+    precession
+    nutation
+    RotateEquatorialToEcliptic
+
+Seasons
+    FindSeasonChange
+
+FindSeasonChange
+    SearchSunLongitude
+
+SearchSunLongitude
+    AddDays
+    Search
+
+Search
+    AddDays
+    QuadInterp
+
+PairLongitude
+    GeoVector
+    EquatorialToEcliptic
+    NormalizeLongitude
+
+MoonPhase
+    PairLongitude
+
+SearchMoonQuarter
+    MoonPhase
+    SearchMoonPhase
+
+NextMoonQuarter
+    AddDays
+    SearchMoonQuarter
+
+SearchMoonPhase
+    AddDays
+    Search
+
+InternalSearchAltitude
+    MaxAltitudeSlope
+    AddDays
+    FindAscent
+
+SearchRiseSet
+    Atmosphere
+    HorizonDipAngle
+    InternalSearchAltitude
+
+SearchAltitude
+    InternalSearchAltitude
+
+HourAngle
+    SiderealTime
+    Equator
+
+SearchHourAngle
+    SiderealTime
+    Equator
+    Horizon
+    AddDays
+
+SearchRelativeLongitude
+    SynodicPeriod
+    IsSuperiorPlanet
+    RelativeLongitudeOffset
+    AddDays
+
+RelativeLongitudeOffset
+    EclipticLongitude
+    LongitudeOffset
+
+SynodicPeriod
+    PlanetOrbitalPeriod
+
+EclipticLongitude
+    HelioVector
+    EquatorialToEcliptic
+
+Elongation
+    PairLongitude
+    AngleFromSun
+
+SearchMaxElongation
+    SynodicPeriod
+    EclipticLongitude
+    LongitudeOffset
+    AddDays
+    SearchRelativeLongitude
+    Search
+    Elongation
+
+AngleFromSun
+    GeoVector
+    AngleBetween
+
+SearchLunarApsis
+    AddDays
+    Search
+
+NextLunarApsis
+    SearchLunarApsis
+    AddDays
+
+PlanetExtreme
+    AddDays
+    HelioDistance
+
+BruteSearchPlanetApsis
+    PlanetOrbitalPeriod
+    AddDays
+    PlanetExtreme
+
+SearchPlanetApsis
+    BruteSearchPlanetApsis
+    PlanetOrbitalPeriod
+    AddDays
+    Search
+    HelioDistance
+
+NextPlanetApsis
+    PlanetOrbitalPeriod
+    AddDays
+    SearchPlanetApsis
+
+PeakEarthShadow
+    AddDays
+    Search
+    EarthShadow
+
+SolarEclipseObscuration
+    AngleBetween
+    Obscuration
+
+SearchLunarEclipse
+    SearchMoonPhase
+    CalcMoon
+    PeakEarthShadow
+    ShadowSemiDurationMinutes
+    Obscuration
+    AddDays
+
+NextLunarEclipse
+    AddDays
+    SearchLunarEclipse
+
+ShadowSemiDurationMinutes
+    AddDays
+    Search
+
+SearchGlobalSolarEclipse
+    SearchMoonPhase
+    MoonEclipticLatitudeDegrees
+    PeakMoonShadow
+    GeoidIntersect
+    AddDays
+
+NextGlobalSolarEclipse
+    AddDays
+    SearchGlobalSolarEclipse
+
+GeoidIntersect
+    Rotation_EQJ_EQD
+    RotateVector
+    SiderealTime
+    InverseRotation
+    RotateVector
+    CalcShadow
+    EclipseKindFromUmbra
+    SolarEclipseObscuration
+
+PeakMoonShadow
+    AddDays
+    Search
+    MoonShadow
+
+PeakLocalMoonShadow
+    AddDays
+    Search
+    LocalMoonShadow
+
+PeakPlanetShadow
+    AddDays
+    Search
+    PlanetShadow
+
+EarthShadow
+    GeoVector
+    GeoMoon
+    CalcShadow
+
+MoonShadow
+    GeoVector
+    GeoMoon
+    CalcShadow
+
+LocalMoonShadow
+    geo_pos
+    GeoVector
+    GeoMoon
+    CalcShadow
+
+PlanetShadow
+    GeoVector
+    CalcShadow
+
+MoonEclipticLatitudeDegrees
+    CalcMoon
+
+SearchLocalSolarEclipse
+    SearchMoonPhase
+    MoonEclipticLatitudeDegrees
+    PeakLocalMoonShadow
+    LocalEclipse
+    AddDays
+
+NextLocalSolarEclipse
+    AddDays
+    SearchLocalSolarEclipse
+
+LocalEclipse
+    CalcEvent
+    LocalEclipseTransition
+    EclipseKindFromUmbra
+    SolarEclipseObscuration
+
+LocalEclipseTransition
+    Search
+    CalcEvent
+
+SunAltitude
+    Equator
+    Horizon
+
+PlanetTransitBoundary
+    Search
+
+SearchTransit
+    SearchRelativeLongitude
+    AngleFromSun
+    PeakPlanetShadow
+    AddDays
+    PlanetTransitBoundary
+
+NextTransit
+    AddDays
+    SearchTransit
+
+SearchMoonNode
+    EclipticGeoMoon
+    AddDays
+    Search
+
+NextMoonNode
+    AddDays
+    SearchMoonNode
+
+Illumination
+    CalcEarth
+    GeoMoon
+    HelioVector
+    AngleBetween
+    MoonMagnitude
+    SaturnMagnitude
+    VisualMagnitude
+
+SaturnMagnitude
+    EquatorialToEcliptic
+
+SearchPeakMagnitude
+    EclipticLongitude
+    LongitudeOffset
+    SynodicPeriod
+    AddDays
+    SearchRelativeLongitude
+    Search
+    Illumination
+
+LagrangePoint
+    MassProduct
+    GeoMoonState
+    HelioState
+    LagrangePointFast
+
+LagrangePointFast
+    CubeRoot
+
+InverseRotation
+
+CombineRotation
+
+IdentityMatrix
+
+Pivot
+
+RotateVector
+
+RotateState
+
+VectorFromSphere
+
+SphereFromVector
+
+EquatorFromVector
+
+HorizonFromVector
+    SphereFromVector
+    RefractionAngle
+    ToggleAzimuthDirection
+
+VectorFromHorizon
+    VectorFromSphere
+    InverseRefractionAngle
+    ToggleAzimuthDirection
+
+RefractionAngle
+
+InverseRefractionAngle
+    RefractionAngle
+
+EarthRotationAxis
+    nutation
+    precession
+    EquatorFromVector
+
+RotationAxis
+    EarthRotationAxis
+
+Rotation_EQJ_ECL
+
+Rotation_ECL_EQJ
+
+Rotation_EQJ_EQD
+    precession_rot
+    nutation_rot
+    CombineRotation
+
+Rotation_EQJ_ECT
+    Rotation_EQJ_EQD
+    Rotation_EQD_ECT
+    CombineRotation
+
+Rotation_ECT_EQJ
+    Rotation_ECT_EQD
+    Rotation_EQD_EQJ
+    CombineRotation
+
+Rotation_EQD_EQJ
+    nutation_rot
+    precession_rot
+    CombineRotation
+
+Rotation_EQD_HOR
+    SiderealTime
+    spin
+
+Rotation_HOR_EQD
+    Rotation_EQD_HOR
+    InverseRotation
+
+Rotation_HOR_EQJ
+    Rotation_HOR_EQD
+    Rotation_EQD_EQJ
+    CombineRotation
+
+Rotation_EQJ_HOR
+    Rotation_HOR_EQJ
+    InverseRotation
+
+Rotation_EQD_ECL
+    Rotation_EQD_EQJ
+    Rotation_EQJ_ECL
+    CombineRotation
+
+Rotation_ECL_EQD
+    Rotation_EQD_ECL
+    InverseRotation
+
+Rotation_ECL_HOR
+    Rotation_ECL_EQD
+    Rotation_EQD_HOR
+    CombineRotation
+
+Rotation_HOR_ECL
+    Rotation_ECL_HOR
+    InverseRotation
+
+Rotation_EQJ_GAL
+
+Rotation_GAL_EQJ
+
+Rotation_ECT_EQD
+    e_tilt
+
+Rotation_EQD_ECT
+    e_tilt
+
+Constellation
+    Rotation_EQJ_EQD
+    VectorFromSphere
+    RotateVector
+    EquatorFromVector

dependencies/goplan.py

@@ -0,0 +1,105 @@
+#!/usr/bin/env python3
+#
+#   goplan.py  -  Don Cross  -  2023-10-03
+#
+#   Using the dependencies of function calls in the C# version of Astronomy Engine,
+#   make a plan for the order we should complete functions in the Go version.
+#
+import sys
+from typing import Set, Dict, List, Optional
+
+
+class Symbol:
+    def __init__(self, name: str) -> None:
+        self.name = name
+        self.children: Set[str] = set()
+        self.visited = False
+
+    def insert(self, child: str) -> None:
+        self.children.add(child)
+
+    def __str__(self) -> str:
+        text = self.name
+        for child in sorted(self.children):
+            text += ',' + child
+        return text
+
+
+def LoadDependencies(inFileName: str) -> Dict[str, Symbol]:
+    with open(inFileName, 'rt') as infile:
+        all: Dict[str, Symbol] = {}
+        parent: Optional[Symbol] = None
+        lnum = 0
+        for line in infile:
+            lnum += 1
+            line = line.rstrip()
+            name = line.lstrip()
+            if name == '':
+                continue    # ignore blank lines
+            if name == line:
+                # There is no whitespace to the left of the name.
+                # This name is a parent (caller).
+                parent = Symbol(name)
+                if name in all:
+                    print('FATAL({} line {}): parent {} was already defined.'.format(inFileName, lnum, name))
+                    sys.exit(1)
+                all[name] = parent
+            else:
+                # Whitespace exists to the left of the name, so this is a child (called function).
+                if parent is None:
+                    print('FATAL({} line {}): child {} has no parent.'.format(inFileName, lnum, name))
+                    sys.exit(1)
+                parent.insert(name)
+        # Reduce verbosity in the input file by allowing implicit creation
+        # of a symbol that has no children.
+        undef: Set[str] = set()
+        for parent in all.values():
+            for child in parent.children:
+                if child not in all:
+                    undef.add(child)
+        for name in undef:
+            all[name] = Symbol(name)
+        return all
+
+
+def MakePlan(inFileName: str) -> int:
+    all = LoadDependencies(inFileName)
+
+    # Sweep through all symbols repeatedly.
+    level = 0
+    while True:
+        # On each pass, print all unvisited parents that contain no unvisited children.
+        # Mark each parent visited each time we print a parent.
+        # Keep going until we fail to print something.
+
+        namelist: List[str] = []
+
+        for parent in all.values():
+            if not parent.visited:
+                blockers = 0
+                for child in parent.children:
+                    if not all[child].visited:
+                        blockers += 1
+                if blockers == 0:
+                    namelist.append(parent.name)
+        if len(namelist) == 0:
+            break
+        for name in sorted(namelist):
+            parent = all[name]
+            parent.visited = True
+            print('{},{}'.format(level, parent))
+        level += 1
+
+    # Report an error if any unvisited symbols remain.
+    undefCount = 0
+    for symbol in all.values():
+        if not symbol.visited:
+            print('UNVISITED: {}'.format(symbol.name))
+            undefCount += 1
+    if undefCount > 0:
+        return 1
+    return 0
+
+
+if __name__ == '__main__':
+    sys.exit(MakePlan('dependencies.txt'))

dependencies/plan

@@ -0,0 +1,4 @@
+#!/bin/bash
+mypy --strict goplan.py || exit 1
+python3 goplan.py > plan.csv || exit 1
+exit 0

dependencies/plan.csv

@@ -0,0 +1,185 @@
+0,AddDays
+0,AngleBetween
+0,Atmosphere
+0,CalcEvent
+0,CalcMoon
+0,CalcShadow
+0,CalendarDateTime
+0,ClampIndex
+0,CombineRotation
+0,CubeRoot
+0,DefineStar
+0,DeltaT_EspenakMeeus
+0,EclipseKindFromUmbra
+0,EquatorFromVector
+0,ExportState
+0,FindAscent
+0,HorizonDipAngle
+0,IdentityMatrix
+0,InverseRotation
+0,IsSuperiorPlanet
+0,JupiterMoon_elem2pv
+0,LongitudeOffset
+0,MajorBodiesAccelerationIncrement
+0,MassProduct
+0,MaxAltitudeSlope
+0,MoonMagnitude
+0,NormalizeLongitude
+0,Obscuration
+0,ObserverGravity
+0,Pivot
+0,PlanetOrbitalPeriod
+0,QuadInterp
+0,RefractionAngle
+0,RotateEquatorialToEcliptic
+0,RotateState
+0,RotateVector
+0,Rotation_ECL_EQJ
+0,Rotation_EQJ_ECL
+0,Rotation_EQJ_GAL
+0,Rotation_GAL_EQJ
+0,SiderealTime
+0,SphereFromVector
+0,ToggleAzimuthDirection
+0,UniversalTimeFromCalendar
+0,UpdatePosition
+0,UpdateVelocity
+0,UserDefinedStar
+0,VectorFromSphere
+0,VisualMagnitude
+0,VsopDerivCalc
+0,VsopFormulaCalc
+0,VsopRotate
+0,VsopSphereToRect
+0,iau2000b
+0,mean_obliq
+0,precession_rot
+0,spin
+1,CalcJupiterMoon,JupiterMoon_elem2pv
+1,CalcVsop,VsopFormulaCalc,VsopRotate,VsopSphereToRect
+1,CalcVsopPosVel,VsopDerivCalc,VsopFormulaCalc,VsopRotate,VsopSphereToRect
+1,CorrectLightTravel,AddDays
+1,DeltaT,DeltaT_EspenakMeeus
+1,Horizon,RefractionAngle,SiderealTime,spin
+1,HorizonFromVector,RefractionAngle,SphereFromVector,ToggleAzimuthDirection
+1,InternalSearchAltitude,AddDays,FindAscent,MaxAltitudeSlope
+1,InverseRefractionAngle,RefractionAngle
+1,LagrangePointFast,CubeRoot
+1,Libration,CalcMoon,LongitudeOffset,NormalizeLongitude
+1,MajorBodiesAcceleration,MajorBodiesAccelerationIncrement
+1,MoonEclipticLatitudeDegrees,CalcMoon
+1,Rotation_EQD_HOR,SiderealTime,spin
+1,Search,AddDays,QuadInterp
+1,SolarEclipseObscuration,AngleBetween,Obscuration
+1,SynodicPeriod,PlanetOrbitalPeriod
+1,e_tilt,iau2000b,mean_obliq
+1,ecl2equ_vec,mean_obliq
+1,inverse_terra,SiderealTime
+1,precession,precession_rot
+1,precession_posvel,RotateState,precession_rot
+1,terra,SiderealTime
+2,AdjustBarycenterPosVel,CalcVsopPosVel
+2,BarycenterContrib,CalcVsop
+2,CalcEarth,CalcVsop
+2,GeoMoon,CalcMoon,ecl2equ_vec,precession
+2,JupiterMoons,CalcJupiterMoon
+2,LocalEclipseTransition,CalcEvent,Search
+2,PlanetTransitBoundary,Search
+2,Rotation_ECT_EQD,e_tilt
+2,Rotation_EQD_ECT,e_tilt
+2,Rotation_HOR_EQD,InverseRotation,Rotation_EQD_HOR
+2,SearchAltitude,InternalSearchAltitude
+2,SearchLunarApsis,AddDays,Search
+2,SearchMoonPhase,AddDays,Search
+2,SearchRiseSet,Atmosphere,HorizonDipAngle,InternalSearchAltitude
+2,SearchSunLongitude,AddDays,Search
+2,ShadowSemiDurationMinutes,AddDays,Search
+2,TerrestrialTime,DeltaT
+2,VectorFromHorizon,InverseRefractionAngle,ToggleAzimuthDirection,VectorFromSphere
+2,nutation_rot,e_tilt
+3,CalcSolarSystemBarycenter,BarycenterContrib
+3,FindSeasonChange,SearchSunLongitude
+3,GeoMoonState,AddDays,GeoMoon
+3,LocalEclipse,CalcEvent,EclipseKindFromUmbra,LocalEclipseTransition,SolarEclipseObscuration
+3,MajorBodyBary,AdjustBarycenterPosVel
+3,NextLunarApsis,AddDays,SearchLunarApsis
+3,Rotation_EQD_EQJ,CombineRotation,nutation_rot,precession_rot
+3,Rotation_EQJ_EQD,CombineRotation,nutation_rot,precession_rot
+3,UniversalTime,TerrestrialTime
+3,nutation,RotateVector,nutation_rot
+3,nutation_posvel,RotateState,nutation_rot
+4,AstroTime,AddDays,CalendarDateTime,TerrestrialTime,UniversalTime,UniversalTimeFromCalendar
+4,Constellation,EquatorFromVector,RotateVector,Rotation_EQJ_EQD,VectorFromSphere
+4,EarthRotationAxis,EquatorFromVector,nutation,precession
+4,EclipticGeoMoon,CalcMoon,RotateEquatorialToEcliptic,e_tilt,ecl2equ_vec,nutation
+4,EquatorialToEcliptic,RotateEquatorialToEcliptic,e_tilt,nutation,precession
+4,GeoEmbState,GeoMoonState
+4,GeoidIntersect,CalcShadow,EclipseKindFromUmbra,InverseRotation,RotateVector,Rotation_EQJ_EQD,SiderealTime,SolarEclipseObscuration
+4,GravFromState,MajorBodyBary
+4,GravSim,MajorBodiesAcceleration,MajorBodyBary,UpdatePosition
+4,Rotation_ECT_EQJ,CombineRotation,Rotation_ECT_EQD,Rotation_EQD_EQJ
+4,Rotation_EQD_ECL,CombineRotation,Rotation_EQD_EQJ,Rotation_EQJ_ECL
+4,Rotation_EQJ_ECT,CombineRotation,Rotation_EQD_ECT,Rotation_EQJ_EQD
+4,Rotation_HOR_EQJ,CombineRotation,Rotation_EQD_EQJ,Rotation_HOR_EQD
+4,Seasons,FindSeasonChange
+4,gyration,nutation,precession
+4,gyration_posvel,nutation_posvel,precession_posvel
+5,CalcPlutoOneWay,GravFromState,GravSim
+5,GetSegment,ClampIndex,GravFromState,GravSim
+5,ObserverState,gyration_posvel,terra
+5,RotationAxis,EarthRotationAxis
+5,Rotation_ECL_EQD,InverseRotation,Rotation_EQD_ECL
+5,Rotation_EQJ_HOR,InverseRotation,Rotation_HOR_EQJ
+5,SaturnMagnitude,EquatorialToEcliptic
+5,SearchMoonNode,AddDays,EclipticGeoMoon,Search
+5,SunPosition,AddDays,CalcEarth,RotateEquatorialToEcliptic,e_tilt,gyration
+5,VectorObserver,gyration,inverse_terra
+5,geo_pos,gyration,terra
+6,CalcPluto,CalcPlutoOneWay,ClampIndex,GetSegment,MajorBodyBary,UpdatePosition,UpdateVelocity
+6,NextMoonNode,AddDays,SearchMoonNode
+6,ObserverVector,ObserverState
+6,Rotation_ECL_HOR,CombineRotation,Rotation_ECL_EQD,Rotation_EQD_HOR
+7,BaryState,CalcPluto,CalcVsopPosVel,ExportState,GeoEmbState,GeoMoonState,MajorBodyBary
+7,HelioVector,CalcEarth,CalcPluto,CalcSolarSystemBarycenter,CalcVsop,GeoMoon,UserDefinedStar,VectorFromSphere
+7,Rotation_HOR_ECL,InverseRotation,Rotation_ECL_HOR
+8,EclipticLongitude,EquatorialToEcliptic,HelioVector
+8,HelioDistance,HelioVector,UserDefinedStar,VsopFormulaCalc
+8,HelioState,CalcPluto,CalcVsopPosVel,ExportState,GeoEmbState,GeoMoonState,HelioVector,MajorBodyBary
+8,Illumination,AngleBetween,CalcEarth,GeoMoon,HelioVector,MoonMagnitude,SaturnMagnitude,VisualMagnitude
+9,BackdatePosition,CorrectLightTravel,HelioState,HelioVector,UserDefinedStar
+9,LagrangePoint,GeoMoonState,HelioState,LagrangePointFast,MassProduct
+9,PlanetExtreme,AddDays,HelioDistance
+9,RelativeLongitudeOffset,EclipticLongitude,LongitudeOffset
+10,BruteSearchPlanetApsis,AddDays,PlanetExtreme,PlanetOrbitalPeriod
+10,GeoVector,BackdatePosition,GeoMoon
+10,SearchRelativeLongitude,AddDays,IsSuperiorPlanet,RelativeLongitudeOffset,SynodicPeriod
+11,AngleFromSun,AngleBetween,GeoVector
+11,EarthShadow,CalcShadow,GeoMoon,GeoVector
+11,Equator,EquatorFromVector,GeoVector,geo_pos,gyration
+11,LocalMoonShadow,CalcShadow,GeoMoon,GeoVector,geo_pos
+11,MoonShadow,CalcShadow,GeoMoon,GeoVector
+11,PairLongitude,EquatorialToEcliptic,GeoVector,NormalizeLongitude
+11,PlanetShadow,CalcShadow,GeoVector
+11,SearchPeakMagnitude,AddDays,EclipticLongitude,Illumination,LongitudeOffset,Search,SearchRelativeLongitude,SynodicPeriod
+11,SearchPlanetApsis,AddDays,BruteSearchPlanetApsis,HelioDistance,PlanetOrbitalPeriod,Search
+12,Elongation,AngleFromSun,PairLongitude
+12,HourAngle,Equator,SiderealTime
+12,MoonPhase,PairLongitude
+12,NextPlanetApsis,AddDays,PlanetOrbitalPeriod,SearchPlanetApsis
+12,PeakEarthShadow,AddDays,EarthShadow,Search
+12,PeakLocalMoonShadow,AddDays,LocalMoonShadow,Search
+12,PeakMoonShadow,AddDays,MoonShadow,Search
+12,PeakPlanetShadow,AddDays,PlanetShadow,Search
+12,SearchHourAngle,AddDays,Equator,Horizon,SiderealTime
+12,SunAltitude,Equator,Horizon
+13,SearchGlobalSolarEclipse,AddDays,GeoidIntersect,MoonEclipticLatitudeDegrees,PeakMoonShadow,SearchMoonPhase
+13,SearchLocalSolarEclipse,AddDays,LocalEclipse,MoonEclipticLatitudeDegrees,PeakLocalMoonShadow,SearchMoonPhase
+13,SearchLunarEclipse,AddDays,CalcMoon,Obscuration,PeakEarthShadow,SearchMoonPhase,ShadowSemiDurationMinutes
+13,SearchMaxElongation,AddDays,EclipticLongitude,Elongation,LongitudeOffset,Search,SearchRelativeLongitude,SynodicPeriod
+13,SearchMoonQuarter,MoonPhase,SearchMoonPhase
+13,SearchTransit,AddDays,AngleFromSun,PeakPlanetShadow,PlanetTransitBoundary,SearchRelativeLongitude
+14,NextGlobalSolarEclipse,AddDays,SearchGlobalSolarEclipse
+14,NextLocalSolarEclipse,AddDays,SearchLocalSolarEclipse
+14,NextLunarEclipse,AddDays,SearchLunarEclipse
+14,NextMoonQuarter,AddDays,SearchMoonQuarter
+14,NextTransit,AddDays,SearchTransit