Class AzimuthalEquidistant
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.AzimuthalEquidistant
- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,org.opengis.referencing.operation.MathTransform
,org.opengis.referencing.operation.MathTransform2D
- Direct Known Subclasses:
ModifiedAzimuthalEquidistant
Azimuthal Equidistant (Spherical) projection.
This projection method has no EPSG code.
See the following references for an overview:
Current implementation supports only the spherical case.
For ellipsoidal formulas, the
ModifiedAzimuthalEquidistant
class provides an approximation
valid under 800 kilometres of the projection centre.
Note of projection variants:
formulas for this map projection have been published by Snyder (1987) in the following forms:
- Azimuthal Equidistant projection for the sphere. This form has no EPSG code. It is implemented in Apache SIS as "Azimuthal Equidistant (Spherical)".
- Polar aspect of ellipsoidal Azimuthal Equidistant. This form has no EPSG code. It is not yet implemented in Apache SIS.
- Oblique and equatorial aspects of ellipsoidal Azimuthal Equidistant:
- Nearly rigorous sets of formulas.
The EPSG name is "Modified Azimuthal Equidistant" (EPSG:9832).
This projection is implemented by
ModifiedAzimuthalEquidistant
. - Approximate sets of formulas. The EPSG name is "Guam projection" (EPSG:9831). This projection is not yet implemented in Apache SIS.
- Nearly rigorous sets of formulas.
The EPSG name is "Modified Azimuthal Equidistant" (EPSG:9832).
This projection is implemented by
- Since:
- 1.1
- Version:
- 1.1
- 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 TypeFieldDescription(package private) final double
Sine and cosine of the latitude of origin φ₀.private static final long
For compatibility with different versions during deserialization.(package private) final double
Sine and cosine of the latitude of origin φ₀.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
ConstructorsConstructorDescriptionCreates a new projection initialized to the same parameters than the given one.AzimuthalEquidistant
(Initializer initializer) Creates a new normalized projection from the parameters computed by the given initializer.AzimuthalEquidistant
(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Azimuthal Equidistant 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 twoAzimuthalEquidistant
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 twoAzimuthalEquidistant
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 result indstPts
(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 (units in radians) and stores the result indstPts
.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 compatibility with different versions during deserialization.- See Also:
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sinφ0
final double sinφ0Sine and cosine of the latitude of origin φ₀. -
cosφ0
final double cosφ0Sine and cosine of the latitude of origin φ₀.
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Constructor Details
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AzimuthalEquidistant
public AzimuthalEquidistant(org.opengis.referencing.operation.OperationMethod method, Parameters parameters) Creates a Azimuthal Equidistant projection from the given parameters. Themethod
argument can be the description of one of the following:- "Azimuthal Equidistant (Spherical)".
- Parameters:
method
- description of the projection parameters.parameters
- the parameter values of the projection to create.
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AzimuthalEquidistant
AzimuthalEquidistant(Initializer initializer) Creates a new normalized projection from the parameters computed by the given initializer.- Parameters:
initializer
- the initializer for computing map projection internal parameters.
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AzimuthalEquidistant
AzimuthalEquidistant(AzimuthalEquidistant 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="1.8") 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"). -
getInternalParameterNames
Returns the names of additional internal parameters which need to be taken in account when comparing twoAzimuthalEquidistant
projections or formatting them in debug mode.We could report any of the internal parameters. But since they are all derived from φ₀ and the eccentricity and since the eccentricity is already reported by the super-class, we report only φ₀ as a representative of the internal parameters.
- 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 twoAzimuthalEquidistant
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
- source point coordinates, as (longitude, latitude) 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
).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 result indstPts
(angles in radians).- 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
).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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