Class LambertAzimuthalEqualArea
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.AuthalicConversion
org.apache.sis.referencing.operation.projection.LambertAzimuthalEqualArea
- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,org.opengis.referencing.operation.MathTransform
,org.opengis.referencing.operation.MathTransform2D
Lambert Azimuthal Equal Area projection (EPSG code 9820).
See the following references for an overview:
- Since:
- 1.2
- Version:
- 1.2
- See Also:
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Nested Class Summary
Nested classes/interfaces inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
NormalizedProjection.ParameterRole
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Field Summary
FieldsModifier and TypeFieldDescriptionprivate final double
Sine and cosine of authalic latitude of origin.private final boolean
true
if the projection is at a pole.private static final long
For cross-version compatibility.private final double
Sine and cosine of authalic latitude of origin.Fields inherited from class org.apache.sis.referencing.operation.projection.AuthalicConversion
isSpherical, qmPolar
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
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Constructor Summary
ConstructorsModifierConstructorDescriptionprivate
LambertAzimuthalEqualArea
(Initializer initializer) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors").(package private)
Creates a new projection initialized to the same parameters than the given one.LambertAzimuthalEqualArea
(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Lambert Azimuthal Equal Area projection from the given parameters. -
Method Summary
Modifier and TypeMethodDescription(package private) final String[]
Returns the names of additional internal parameters which need to be taken in account when comparing twoLambertAzimuthalEqualArea
projections or formatting them in debug mode.(package private) final double[]
Returns the values of additional internal parameters which need to be taken in account when comparing twoLambertAzimuthalEqualArea
projections or formatting them in debug mode.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").protected void
inverseTransform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff) Converts the specified (x,y) coordinates and stores the (λ,φ) result indstPts
.org.opengis.referencing.operation.Matrix
transform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) Projects the specified (λ,φ) coordinates (units in radians) and stores the result indstPts
.Methods inherited from class org.apache.sis.referencing.operation.projection.AuthalicConversion
dqm_dφ, qm, sinβ, φ
Methods inherited from class org.apache.sis.referencing.operation.projection.NormalizedProjection
completeWithWraparound, computeHashCode, createMapProjection, delegate, equals, getContextualParameters, 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
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Field Details
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serialVersionUID
private static final long serialVersionUIDFor cross-version compatibility.- See Also:
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sinβ0
private final double sinβ0Sine and cosine of authalic latitude of origin. In the spherical case, the authalic latitude β and the geodetic latitude φ are the same.Possible simplification
In equatorial case, sin(β₀)=0 and cos(β₀)=1. We could do special cases with simplifications in thetransform(…)
formulas, but the result does not seem simpler enough to worth code branching.In the polar case, sin(β₀)=1 and cos(β₀)=0. But the equations become indeterminate (we get 0/0) and a different set of equations must be used.
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cosβ0
private final double cosβ0Sine and cosine of authalic latitude of origin. In the spherical case, the authalic latitude β and the geodetic latitude φ are the same.Possible simplification
In equatorial case, sin(β₀)=0 and cos(β₀)=1. We could do special cases with simplifications in thetransform(…)
formulas, but the result does not seem simpler enough to worth code branching.In the polar case, sin(β₀)=1 and cos(β₀)=0. But the equations become indeterminate (we get 0/0) and a different set of equations must be used.
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polar
private final boolean polartrue
if the projection is at a pole. This implementation does not need to distinguish between North and South pole. Formulas in this class are for the South case only, and this class handles the North case by reverting the sign of φ before conversion and y after conversion.
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Constructor Details
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LambertAzimuthalEqualArea
public LambertAzimuthalEqualArea(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Lambert Azimuthal Equal Area projection from the given parameters.- Parameters:
method
- description of the projection parameters.parameters
- the parameter values of the projection to create.
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LambertAzimuthalEqualArea
@Workaround(library="JDK", version="1.7") private LambertAzimuthalEqualArea(Initializer initializer) Work around for RFE #4093999 in Sun's bug database ("Relax constraint on placement of this()/super() call in constructors"). -
LambertAzimuthalEqualArea
LambertAzimuthalEqualArea(LambertAzimuthalEqualArea other) Creates a new projection initialized to the same parameters than the given one.
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Method Details
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initializer
@Workaround(library="JDK", version="1.7") 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"). -
getInternalParameterNames
Returns the names of additional internal parameters which need to be taken in account when comparing twoLambertAzimuthalEqualArea
projections or formatting them in debug mode.- Overrides:
getInternalParameterNames
in classNormalizedProjection
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getInternalParameterValues
final double[] getInternalParameterValues()Returns the values of additional internal parameters which need to be taken in account when comparing twoLambertAzimuthalEqualArea
projections or formatting them in debug mode.- Overrides:
getInternalParameterValues
in classNormalizedProjection
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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 (units in radians) and stores the result indstPts
. In addition, opportunistically computes the projection derivative ifderivate
istrue
. The results must be multiplied by the denormalization matrix before to get linear distances.- Specified by:
transform
in classNormalizedProjection
- 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 thansrcPts
). 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, orfalse
if not needed.- Returns:
- the matrix of the projection derivative at the given source position,
or
null
if thederivate
argument isfalse
. - Throws:
ProjectionException
- if the coordinates cannot be converted.- See Also:
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inverseTransform
protected void inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff) throws ProjectionException Converts the specified (x,y) coordinates and stores the (λ,φ) result indstPts
.- Specified by:
inverseTransform
in classNormalizedProjection
- 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 thansrcPts
). 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.- Throws:
ProjectionException
- if the point cannot be converted.
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