Package org.apache.sis.referencing.operation.projection

Class Mollweide

java.lang.Object

org.apache.sis.io.wkt.FormattableObject

org.apache.sis.referencing.operation.transform.AbstractMathTransform

org.apache.sis.referencing.operation.transform.AbstractMathTransform2D

org.apache.sis.referencing.operation.projection.NormalizedProjection

org.apache.sis.referencing.operation.projection.Mollweide

All Implemented Interfaces:

Serializable, Parameterized, LenientComparable, org.opengis.referencing.operation.MathTransform, org.opengis.referencing.operation.MathTransform2D

public class Mollweide
extends NormalizedProjection

Mollweide projection. See the following references for an overview:

• Mollweide projection on Wikipedia
• Mollweide projection on MathWorld

Since:

1.0

Version:

1.2

See Also:

• Serialized Form

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
private static enum	Mollweide.Variant	Allowed projection variants.

Nested classes/interfaces inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection

NormalizedProjection.ParameterRole

Field Summary

Fields

Modifier and Type	Field	Description
private static final long	serialVersionUID	For cross-version compatibility.

Fields inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection

ANGULAR_TOLERANCE, context, eccentricity, eccentricitySquared, ITERATION_TOLERANCE, LARGE_LONGITUDE_LIMIT, MAXIMUM_ITERATIONS, POLAR_AREA_LIMIT

Fields inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform2D

DIMENSION

Constructor Summary

Constructors

Constructor	Description
Mollweide(org.opengis.referencing.operation.OperationMethod method, Parameters parameters)	Creates a Mollweide projection from the given parameters.

Method Summary

Modifier and Type	Method	Description
private static Initializer	initializer(org.opengis.referencing.operation.OperationMethod method, Parameters parameters)	Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").
private static org.opengis.referencing.operation.Matrix	inverseDerivate(double x, double y, double θp, double sinφ)	Computes the inverse of projection derivative.
protected void	inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff)	Converts the specified (x,y) coordinates and stores the result in dstPts (angles in radians).
org.opengis.referencing.operation.Matrix	transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate)	Projects the specified (Λ,φ) coordinates and stores the (x,y) result in dstPts.

Methods inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection

completeWithWraparound, computeHashCode, createMapProjection, delegate, equals, getContextualParameters, getInternalParameterNames, getInternalParameterValues, getParameterDescriptors, getParameterValues, getWraparoundLongitude, inverse, tryConcatenate, tryConcatenate, variant

Methods inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform2D

createTransformedShape, derivative, getSourceDimensions, getTargetDimensions, transform

Methods inherited from class org.apache.sis.referencing.operation.transform.AbstractMathTransform

derivative, equals, formatTo, getDomain, hashCode, isIdentity, transform, transform, transform, transform, transform

Methods inherited from class org.apache.sis.io.wkt.FormattableObject

print, toString, toString, toWKT

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface org.opengis.referencing.operation.MathTransform

derivative, isIdentity, toWKT, transform, transform, transform, transform, transform

Field Details

serialVersionUID

private static final long serialVersionUID

For cross-version compatibility.

See Also:

• Constant Field Values

Constructor Details

Mollweide

public Mollweide(org.opengis.referencing.operation.OperationMethod method,
 Parameters parameters)

Creates a Mollweide projection from the given parameters. The method argument can be the description of one of the following:

• "Mollweide", also known as "Homalographic" or "Homolographic".

Parameters:

method - description of the projection parameters.

parameters - the parameter values of the projection to create.

Method Details

initializer

@Workaround(library="JDK",
            version="1.8")
private static Initializer initializer(org.opengis.referencing.operation.OperationMethod method,
 Parameters parameters)

Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").

transform

public org.opengis.referencing.operation.Matrix transform(double[] srcPts,
 int srcOff,
 double[] dstPts,
 int dstOff,
 boolean derivate)
                                                   throws ProjectionException

Projects the specified (Λ,φ) coordinates and stores the (x,y) result in dstPts. The units of measurement are implementation-specific (see super-class javadoc). The results must be multiplied by the denormalization matrix before to get linear distances.

Specified by:

transform in class NormalizedProjection

Parameters:

srcPts - the array containing the source point coordinates, as (longitude, latitude) angles in radians.

srcOff - the offset of the single coordinate tuple to be converted in the source array.

dstPts - the array into which the converted coordinates is returned (may be the same than srcPts). Coordinates will be expressed in a dimensionless unit, as a linear distance on a unit sphere or ellipse.

dstOff - the offset of the location of the converted coordinates that is stored in the destination array.

derivate - true for computing the derivative, or false if not needed.

Returns:

the matrix of the projection derivative at the given source position, or null if the derivate argument is false.

Throws:

ProjectionException - if the coordinates cannot be converted.

See Also:

• AbstractMathTransform.derivative(DirectPosition)
• AbstractMathTransform.transform(DirectPosition, DirectPosition)
• MathTransforms.derivativeAndTransform(MathTransform, double[], int, double[], int)

inverseTransform

protected void inverseTransform(double[] srcPts,
 int srcOff,
 double[] dstPts,
 int dstOff)

Converts the specified (x,y) coordinates and stores the result in dstPts (angles in radians).

Specified by:

inverseTransform in class NormalizedProjection

Parameters:

srcPts - the array containing the source point coordinates, as linear distance on a unit sphere or ellipse.

srcOff - the offset of the point to be converted in the source array.

dstPts - the array into which the converted point coordinates is returned (may be the same than srcPts). Coordinates will be (longitude, latitude) angles in radians.

dstOff - the offset of the location of the converted point that is stored in the destination array.

inverseDerivate

private static org.opengis.referencing.operation.Matrix inverseDerivate(double x,
 double y,
 double θp,
 double sinφ)

Computes the inverse of projection derivative.

Parameters:

\u03b8p - 2 * asin(y)

sin\u03c6 - (θp + sin(θp)) / PI

See Also:

• SIS-428