Geographic points

3D <=> 2D conversion

$point = GeographicPoint::create(...);
$newPoint = $point->threeDToTwoD(
    Geographic $to
); // returns a new GeographicPoint

Abridged Molodensky

$point = GeographicPoint::create(...);
$newPoint = $point->abridgedMolodensky(
    Geographic $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Length $differenceInSemiMajorAxis,
    Scale $differenceInFlattening
); // returns a new GeographicPoint

Albers Equal Area

$point = GeographicPoint::create(...);
$newPoint = $point->albersEqualArea(
    Projected $to,
    Angle $latitudeOfFalseOrigin,
    Angle $longitudeOfFalseOrigin,
    Angle $latitudeOf1stStandardParallel,
    Angle $latitudeOf2ndStandardParallel,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin
); // returns a new ProjectedPoint

American Polyconic

$point = GeographicPoint::create(...);
$newPoint = $point->americanPolyconic(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Bonne

$point = GeographicPoint::create(...);
$newPoint = $point->bonne(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Bonne (south orientated)

$point = GeographicPoint::create(...);
$newPoint = $point->bonneSouthOrientated(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Cassini-Soldner

$point = GeographicPoint::create(...);
$newPoint = $point->cassiniSoldner(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Colombia Urban

$point = GeographicPoint::create(...);
$newPoint = $point->columbiaUrban(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing,
    Length $projectionPlaneOriginHeight
); // returns a new ProjectedPoint

Coordinate Frame rotation

$point = GeographicPoint::create(...);
$newPoint = $point->coordinateFrameRotation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference
); // returns a new GeographicPoint

Equal Earth

$point = GeographicPoint::create(...);
$newPoint = $point->equalEarth(
    Projected $to,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Equidistant Cylindrical

$point = GeographicPoint::create(...);
$newPoint = $point->equidistantCylindrical(
    Projected $to,
    Angle $latitudeOf1stStandardParallel,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

General polynomial

$point = GeographicPoint::create(...);
$newPoint = $point->generalPolynomial(
    Geographic $to,
    Angle $ordinate1OfEvaluationPointInSourceCRS,
    Angle $ordinate2OfEvaluationPointInSourceCRS,
    Angle $ordinate1OfEvaluationPointInTargetCRS,
    Angle $ordinate2OfEvaluationPointInTargetCRS,
    Scale $scalingFactorForSourceCRSCoordDifferences,
    Scale $scalingFactorForTargetCRSCoordDifferences,
    Scale $A0,
    Scale $B0,
    array $powerCoefficients
); // returns a new GeographicPoint

Geocentric translation

$point = GeographicPoint::create(...);
$newPoint = $point->geocentricTranslation(
    Geographic $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation
); // returns a new GeographicPoint

Geographic <=> geocentric conversion

$point = GeographicPoint::create(...);
$newPoint = $point->geographicGeocentric(
    Geocentric $to
); // returns a new GeocentricPoint

Geographic2D offsets

$point = GeographicPoint::create(...);
$newPoint = $point->geographic2DOffsets(
    Geographic $to,
    Angle $latitudeOffset,
    Angle $longitudeOffset
); // returns a new GeographicPoint

Geographic2D with Height Offsets

$point = GeographicPoint::create(...);
$newPoint = $point->geographic2DWithHeightOffsets(
    Compound $to,
    Angle $latitudeOffset,
    Angle $longitudeOffset,
    Length $geoidUndulation
); // returns a new CompoundPoint

Geographic3D to Geographic2D+GravityRelatedHeight From Grid

$point = GeographicPoint::create(...);
$newPoint = $point->geographic3DTo2DPlusGravityHeightFromGrid(
    Compound $to,
    GeographicGeoidHeightGrid $geoidHeightCorrectionModelFile
); // returns a new CompoundPoint

Geographic3D to Geographic2D+GravityRelatedHeight (OSGM-GB)

$point = GeographicPoint::create(...);
$newPoint = $point->geographic3DTo2DPlusGravityHeightOSGM15(
    Compound $to,
    OSTNOSGM15Grid $geoidHeightCorrectionModelFile
); // returns a new CompoundPoint

Geographic3D to GravityRelatedHeight From Grid

$point = GeographicPoint::create(...);
$newPoint = $point->geographic3DTo2DPlusGravityHeightFromGrid((
    Vertical $to,
    GeographicGeoidHeightGrid $geoidHeightCorrectionModelFile
); // returns a new VerticalPoint

Geographic3D to GravityRelatedHeight (OSGM-GB)

$point = GeographicPoint::create(...);
$newPoint = $point->geographic3DToGravityHeightOSGM15(
    Vertical $to,
    OSTNOSGM15Grid $geoidHeightCorrectionModelFile
); // returns a new VerticalPoint

Guam Projection

$point = GeographicPoint::create(...);
$newPoint = $point->guamProjection(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Hotine Oblique Mercator (variant A)

$point = GeographicPoint::create(...);
$newPoint = $point->obliqueMercatorHotineVariantA(
    Projected $to,
    Angle $latitudeOfProjectionCentre,
    Angle $longitudeOfProjectionCentre,
    Angle $azimuthOfInitialLine,
    Angle $angleFromRectifiedToSkewGrid,
    Scale $scaleFactorOnInitialLine,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Hotine Oblique Mercator (variant B)

$point = GeographicPoint::create(...);
$newPoint = $point->obliqueMercatorHotineVariantB(
    Projected $to,
    Angle $latitudeOfProjectionCentre,
    Angle $longitudeOfProjectionCentre,
    Angle $azimuthOfInitialLine,
    Angle $angleFromRectifiedToSkewGrid,
    Scale $scaleFactorOnInitialLine,
    Length $eastingAtProjectionCentre,
    Length $northingAtProjectionCentre
); // returns a new ProjectedPoint

Hyperbolic Cassini-Soldner

$point = GeographicPoint::create(...);
$newPoint = $point->hyperbolicCassiniSoldner(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Krovak

$point = GeographicPoint::create(...);
$newPoint = $point->krovak(
    Projected $to,
    Angle $latitudeOfProjectionCentre,
    Angle $longitudeOfOrigin,
    Angle $coLatitudeOfConeAxis,
    Angle $latitudeOfPseudoStandardParallel,
    Scale $scaleFactorOnPseudoStandardParallel,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Krovak Modified

$point = GeographicPoint::create(...);
$newPoint = $point->krovakModified(
    Projected $to,
    Angle $latitudeOfProjectionCentre,
    Angle $longitudeOfOrigin,
    Angle $coLatitudeOfConeAxis,
    Angle $latitudeOfPseudoStandardParallel,
    Scale $scaleFactorOnPseudoStandardParallel,
    Length $falseEasting,
    Length $falseNorthing,
    Length $ordinate1OfEvaluationPoint,
    Length $ordinate2OfEvaluationPoint,
    Coefficient $C1,
    Coefficient $C2,
    Coefficient $C3,
    Coefficient $C4,
    Coefficient $C5,
    Coefficient $C6,
    Coefficient $C7,
    Coefficient $C8,
    Coefficient $C9,
    Coefficient $C10
); // returns a new ProjectedPoint

Laborde Oblique Mercator

$point = GeographicPoint::create(...);
$newPoint = $point->obliqueMercatorLaborde(
    Projected $to,
    Angle $latitudeOfProjectionCentre,
    Angle $longitudeOfProjectionCentre,
    Angle $azimuthOfInitialLine,
    Scale $scaleFactorOnInitialLine,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Azimuthal Equal Area (ellipsoidal)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertAzimuthalEqualArea(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Azimuthal Equal Area (spherical)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertAzimuthalEqualAreaSpherical(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Conic Conformal (1SP)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformal1SP(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Conic Conformal (1SP) variant B

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformal1SPVariantB(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Angle $latitudeOfFalseOrigin,
    Angle $longitudeOfFalseOrigin,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin
); // returns a new ProjectedPoint

Lambert Conic Conformal (west orientated)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformalWestOrientated(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Conic Conformal (2SP)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformal2SP(
    Projected $to,
    Angle $latitudeOfFalseOrigin,
    Angle $longitudeOfFalseOrigin,
    Angle $latitudeOf1stStandardParallel,
    Angle $latitudeOf2ndStandardParallel,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin
); // returns a new ProjectedPoint

Lambert Conic Conformal (2SP Michigan)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformal2SPMichigan(
    Projected $to,
    Angle $latitudeOfFalseOrigin,
    Angle $longitudeOfFalseOrigin,
    Angle $latitudeOf1stStandardParallel,
    Angle $latitudeOf2ndStandardParallel,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin,
    Scale $ellipsoidScalingFactor
); // returns a new ProjectedPoint

Lambert Conic Conformal (2SP Belgium)

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicConformal2SPBelgium(
    Projected $to,
    Angle $latitudeOfFalseOrigin,
    Angle $longitudeOfFalseOrigin,
    Angle $latitudeOf1stStandardParallel,
    Angle $latitudeOf2ndStandardParallel,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin
); // returns a new ProjectedPoint

Lambert Conic Near-Conformal

$point = GeographicPoint::create(...);
$newPoint = $point->lambertConicNearConformal(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Lambert Cylindrical Equal Area

$point = GeographicPoint::create(...);
$newPoint = $point->lambertCylindricalEqualArea(
    Projected $to,
    Angle $latitudeOf1stStandardParallel,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Longitude rotation

$point = GeographicPoint::create(...);
$newPoint = $point->longitudeRotation(
    Geographic $to,
    Angle $longitudeOffset
); // returns a new GeographicPoint

Madrid to ED50 polynomial

$point = GeographicPoint::create(...);
$newPoint = $point->madridToED50Polynomial(
    Geographic2D $to,
    Scale $A0,
    Scale $A1,
    Scale $A2,
    Scale $A3,
    Angle $B00,
    Scale $B0,
    Scale $B1,
    Scale $B2,
    Scale $B3
); // returns a new GeographicPoint

Mercator (variant A)

$point = GeographicPoint::create(...);
$newPoint = $point->mercatorVariantA(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Mercator (variant B)

$point = GeographicPoint::create(...);
$newPoint = $point->mercatorVariantB(
    Projected $to,
    Angle $latitudeOf1stStandardParallel,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Modified Azimuthal Equidistant

$point = GeographicPoint::create(...);
$newPoint = $point->modifiedAzimuthalEquidistant(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Molodensky

$point = GeographicPoint::create(...);
$newPoint = $point->molodensky(
    Geographic $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Length $differenceInSemiMajorAxis,
    Scale $differenceInFlattening
); // returns a new GeographicPoint

Molodensky-Badekas Coordinate Frame rotation

$point = GeographicPoint::create(...);
$newPoint = $point->coordinateFrameMolodenskyBadekas(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Length $ordinate1OfEvaluationPoint,
    Length $ordinate2OfEvaluationPoint,
    Length $ordinate3OfEvaluationPoint
); // returns a new GeographicPoint

Molodensky-Badekas Position Vector transformation

$point = GeographicPoint::create(...);
$newPoint = $point->positionVectorMolodenskyBadekas(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Length $ordinate1OfEvaluationPoint,
    Length $ordinate2OfEvaluationPoint,
    Length $ordinate3OfEvaluationPoint
); // returns a new GeographicPoint

New Zealand Map Grid

$point = GeographicPoint::create(...);
$newPoint = $point->newZealandMapGrid(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Oblique Stereographic

$point = GeographicPoint::create(...);
$newPoint = $point->obliqueStereographic(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Offsets From Grid

$point = GeographicPoint::create(...);
$newPoint = $point->offsetsFromGrid(
    Geographic $to,
    GeographicGrid $offsetsFile,
    bool $inReverse
); // returns a new GeographicPoint

OSTN15 (Ordnance Survey National Transformation)

$point = GeographicPoint::create(...);
$newPoint = $point->OSTN15(
    Projected $to,
    OSTNOSGM15Grid $eastingAndNorthingDifferenceFile
); // returns a new ProjectedPoint

Polar Stereographic (variant A)

$point = GeographicPoint::create(...);
$newPoint = $point->polarStereographicVariantA(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Polar Stereographic (variant B)

$point = GeographicPoint::create(...);
$newPoint = $point->polarStereographicVariantB(
    Projected $to,
    Angle $latitudeOfStandardParallel,
    Angle $longitudeOfOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Polar Stereographic (variant C)

$point = GeographicPoint::create(...);
$newPoint = $point->polarStereographicVariantC(
    Projected $to,
    Angle $latitudeOfStandardParallel,
    Angle $longitudeOfOrigin,
    Length $eastingAtFalseOrigin,
    Length $northingAtFalseOrigin
); // returns a new ProjectedPoint

Position Vector transformation

$point = GeographicPoint::create(...);
$newPoint = $point->positionVectorTransformation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference
); // returns a new GeographicPoint

Reversible polynomial

$point = GeographicPoint::create(...);
$newPoint = $point->reversiblePolynomial(
    Geographic $to,
    Angle $ordinate1OfEvaluationPoint,
    Angle $ordinate2OfEvaluationPoint,
    Scale $scalingFactorForCoordDifferences,
    Scale $A0,
    Scale $B0,
    $powerCoefficients
); // returns a new GeographicPoint

Time-dependent Coordinate Frame rotation

$point = GeographicPoint::create(...);
$newPoint = $point->timeDependentCoordinateFrameRotation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Rate $rateOfChangeOfXAxisTranslation,
    Rate $rateOfChangeOfYAxisTranslation,
    Rate $rateOfChangeOfZAxisTranslation,
    Rate $rateOfChangeOfXAxisRotation,
    Rate $rateOfChangeOfYAxisRotation,
    Rate $rateOfChangeOfZAxisRotation,
    Rate $rateOfChangeOfScaleDifference,
    Time $parameterReferenceEpoch
); // returns a new GeographicPoint

Time-dependent Position Vector tranformation

$point = GeographicPoint::create(...);
$newPoint = $point->timeDependentPositionVectorTransformation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Rate $rateOfChangeOfXAxisTranslation,
    Rate $rateOfChangeOfYAxisTranslation,
    Rate $rateOfChangeOfZAxisTranslation,
    Rate $rateOfChangeOfXAxisRotation,
    Rate $rateOfChangeOfYAxisRotation,
    Rate $rateOfChangeOfZAxisRotation,
    Rate $rateOfChangeOfScaleDifference,
    Time $parameterReferenceEpoch
); // returns a new GeographicPoint

Time-specific Coordinate Frame rotation

$point = GeographicPoint::create(...);
$newPoint = $point->timeSpecificCoordinateFrameRotation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Time $transformationReferenceEpoch
); // returns a new GeographicPoint

Time-specific Position Vector transformation

$point = GeographicPoint::create(...);
$newPoint = $point->timeSpecificPositionVectorTransformation(
    Geocentric $to,
    Length $xAxisTranslation,
    Length $yAxisTranslation,
    Length $zAxisTranslation,
    Angle $xAxisRotation,
    Angle $yAxisRotation,
    Angle $zAxisRotation,
    Scale $scaleDifference,
    Time $transformationReferenceEpoch
); // returns a new GeographicPoint

Transverse Mercator

$point = GeographicPoint::create(...);
$newPoint = $point->transverseMercator(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $longitudeOfNaturalOrigin,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint

Transverse Mercator Zoned Grid System

$point = GeographicPoint::create(...);
$newPoint = $point->transverseMercatorZonedGrid(
    Projected $to,
    Angle $latitudeOfNaturalOrigin,
    Angle $initialLongitude,
    Angle $zoneWidth,
    Scale $scaleFactorAtNaturalOrigin,
    Length $falseEasting,
    Length $falseNorthing
); // returns a new ProjectedPoint