Module org.apache.sis.referencing
Class WraparoundTransform
Object
FormattableObject
AbstractMathTransform
WraparoundTransform
- All Implemented Interfaces:
Serializable
,Parameterized
,LenientComparable
,MathTransform
Enforces coordinate values in the range of a wraparound axis (typically longitude).
For example, this transform can shift longitudes from the [0 … 360]° range to the [-180 … +180]° range.
The destination range is centered at 0 with a minimal value of −
period
/2 and a maximal value
of period
/2. For a range centered on a different value,
a translation
can be applied before and after the WraparoundTransform
.
Instantiation
WraparoundTransform
s are not created automatically by
CRS.findOperation(…)
because they introduce discontinuities in coordinate transformations.
Such discontinuities are hurtless when transforming only a cloud of points,
but produce undesirable artifacts when transforming envelopes or geometries.
Callers need to create WraparoundTransform
instances explicitly if discontinuities are acceptable.
Subclassing
In order to control the discontinuity problem, it may be necessary to subclassWraparoundTransform
and override the shift(double)
method. For example, a subclass may control the wraparounds in a way
to prevent the lower corner of an envelope
to become greater than the upper corner.
Inverse transform
Theinverse()
method can return another WraparoundTransform
with the same period
but centered on a different value, which must be specified at construction time.
For example if this transform is converting from something to [-180 … +180]° range,
then inverse transform is possible only if "something" has been specified
(it may be the [0 … 360]° range, but not necessarily).- Since:
- 1.1
- See Also:
-
Nested Class Summary
Nested classes/interfaces inherited from class AbstractMathTransform
AbstractMathTransform.Inverse
-
Field Summary
Modifier and TypeFieldDescriptionfinal double
Period on wraparound axis, always greater than zero.final double
Coordinate in the wraparound dimension which is at the center of the range of valid source coordinates.final int
The dimension where to apply wraparound. -
Constructor Summary
ModifierConstructorDescriptionprotected
WraparoundTransform
(int dimension, int wraparoundDimension, double period, double sourceMedian) Creates a new transform with a wraparound behavior in the given dimension.protected
Creates a new transform with the same parameters than the given transform. -
Method Summary
Modifier and TypeMethodDescriptionprotected int
Computes a hash code value for this transform.static MathTransform
create
(int dimension, int wraparoundDimension, double period, double sourceMedian, double targetMedian) Returns a transform with a wraparound behavior in the given dimension.derivative
(DirectPosition point) Gets the derivative of this transform at a point.boolean
equals
(Object object, ComparisonMode mode) Compares this transform with the given object for equality.Returns the parameter descriptors for this math transform.Returns the parameter values for this math transform.final int
Gets the dimension of input points.final int
Gets the dimension of output points.inverse()
Returns a wraparound transform producing values in the range of source coordinate values.static MathTransform
replace
(MathTransform transform, Function<? super WraparoundTransform, ? extends WraparoundTransform> replacement) Replaces allWraparoundTransform
instances in a chain of transform steps.protected double
shift
(double x) Applies the wraparound on the given coordinate value.transform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff, boolean derivate) Applies wraparounds on a single point and optionally computes the transform derivative at that location.void
transform
(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) Transforms many positions in a list of coordinate values.void
transform
(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts) Transforms many positions in a list of coordinate values.protected MathTransform
tryConcatenate
(boolean applyOtherFirst, MathTransform other, MathTransformFactory factory) Concatenates in an optimized way this math transform with the given one, if possible.Methods inherited from class AbstractMathTransform
equals, formatTo, getContextualParameters, getDomain, hashCode, isIdentity, transform, transform, transform
Methods inherited from class FormattableObject
print, toString, toString, toWKT
Methods inherited from class Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
Methods inherited from interface MathTransform
toWKT
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Field Details
-
wraparoundDimension
public final int wraparoundDimensionThe dimension where to apply wraparound. -
period
public final double periodPeriod on wraparound axis, always greater than zero. This is 360° for the longitude axis. Coordinates will be normalized in the [−period/2 … +period/2] range. -
sourceMedian
public final double sourceMedianCoordinate in the wraparound dimension which is at the center of the range of valid source coordinates. For example if this transform wraps coordinates from the [0 … 360]° range to the [-180 … +180]° range, thensourceMedian
should be 180° (the value at the center of [0 … 360]° range). The value may beDouble.NaN
if unknown.This field is used for inverse transforms only; it has no effect on the forward transforms. If not NaN, this value is used for building the transform returned by
inverse()
.Design note
There is notargetMedian
field because the target median is fixed to 0 inWraparoundTransform
. Non-zero target medians are implemented by translations applied before and afterWraparoundTransform
. Because of this translation, the value of this field is related to the arguments given to thecreate(…)
method bythis.sourceMeridian = sourceMeridian - targetMeridian
.
-
-
Constructor Details
-
WraparoundTransform
protected WraparoundTransform(int dimension, int wraparoundDimension, double period, double sourceMedian) Creates a new transform with a wraparound behavior in the given dimension. Output values in the wraparound dimension will be in the [−p/2 … +p/2] range where p is the period (e.g. 360°).- Parameters:
dimension
- number of dimensions of source and target coordinates.wraparoundDimension
- the dimension where to apply wraparound.period
- period on wraparound axis.sourceMedian
- coordinate at the center of the range of valid source coordinates, or NaN if unknown. This argument is used for inverse transforms only (ignored in forward transforms).- See Also:
-
WraparoundTransform
Creates a new transform with the same parameters than the given transform. This constructor can be used by subclasses applying the same wraparound than an existing transform but with a differentshift(double)
implementation.- Parameters:
other
- the other transform from which to copy the parameters.
-
-
Method Details
-
create
public static MathTransform create(int dimension, int wraparoundDimension, double period, double sourceMedian, double targetMedian) Returns a transform with a wraparound behavior in the given dimension. Output values in the wraparound dimension will be in the [t−p/2 … t+p/2] range where t is the target median and p is the period (typically 360° for longitude axis).The
sourceMedian
argument is optional (can beDouble.NaN
if unknown) and has no effect on the forward transform. This argument is used only for creating the inverse transform.Examples
- Wraparound longitudes in (φ,λ) coordinates from [-180 … +180]° range to [0 … 360]° range:
create(2, 0, 360, 0, 180)
. - Wraparound longitudes in (φ,λ,h) coordinates from unknown range to [-180 … +180]° range:
create(3, 0, 360, Double.NaN, 0)
(non-invertible).
- Parameters:
dimension
- number of dimensions of the transform to create.wraparoundDimension
- dimension where wraparound happens.period
- period on wraparound axis.sourceMedian
- coordinate at the center of the range of valid source coordinates, or NaN if unknown.targetMedian
- coordinate at the center of the range of valid target coordinates.- Returns:
- the wraparound transform.
- Wraparound longitudes in (φ,λ) coordinates from [-180 … +180]° range to [0 … 360]° range:
-
replace
public static MathTransform replace(MathTransform transform, Function<? super WraparoundTransform, ? extends WraparoundTransform> replacement) Replaces allWraparoundTransform
instances in a chain of transform steps. For each instance found in the list of transform steps, the given function is invoked with theWraparoundTransform
instance found. If that function returns a different instance, then this method creates a new chain of transforms with the same steps than the giventransform
, except for theWraparoundTransform
steps that are replaced by the steps returned by thereplacement
function.This method allows injection of a specialized type of
WraparoundTransform
, for example in order to override theshift(double)
method with finer control of wraparound operations.- Parameters:
transform
- the transform in which to replaceWraparoundTransform
steps.replacement
- function providing replacements forWraparoundTransform
steps.- Returns:
- chain of transforms with
WraparoundTransform
steps replaced (if any).
-
getSourceDimensions
public final int getSourceDimensions()Gets the dimension of input points.- Specified by:
getSourceDimensions
in interfaceMathTransform
- Specified by:
getSourceDimensions
in classAbstractMathTransform
- Returns:
- the dimension of input points.
- See Also:
-
getTargetDimensions
public final int getTargetDimensions()Gets the dimension of output points.- Specified by:
getTargetDimensions
in interfaceMathTransform
- Specified by:
getTargetDimensions
in classAbstractMathTransform
- Returns:
- the dimension of output points.
- See Also:
-
shift
protected double shift(double x) Applies the wraparound on the given coordinate value. This method is invoked by default implementation of alltransform(…)
methods defined in thisWraparoundTransform
class. It provides a single method to override if a different wraparound strategy is desired. The default implementation is:return Math.IEEEremainder(x, period);
- Parameters:
x
- the value on which to apply wraparound.- Returns:
- the value after wraparound.
- See Also:
-
transform
Applies wraparounds on a single point and optionally computes the transform derivative at that location. The default implementation delegates toshift(double)
andderivative(DirectPosition)
.- Specified by:
transform
in classAbstractMathTransform
- Parameters:
srcPts
- the array containing the source coordinates (cannot benull
).srcOff
- the offset to the point to be transformed in the source array.dstPts
- the array into which the transformed coordinates is returned. May be the same thansrcPts
. May benull
if only the derivative matrix is desired.dstOff
- the offset to the location of the transformed point that is stored in the destination array.derivate
-true
for computing the derivative, orfalse
if not needed.- Returns:
- the matrix of the transform derivative at the given source position,
or
null
if thederivate
argument isfalse
. - See Also:
-
transform
public void transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) Transforms many positions in a list of coordinate values. The default implementation delegates toshift(double)
for each point.- Specified by:
transform
in interfaceMathTransform
- Overrides:
transform
in classAbstractMathTransform
- Parameters:
srcPts
- the array containing the source point coordinates.srcOff
- the offset to the first point to be transformed in the source array.dstPts
- the array into which the transformed point coordinates are returned. May be the same thansrcPts
.dstOff
- the offset to the location of the first transformed point that is stored in the destination array.numPts
- the number of point objects to be transformed.
-
transform
public void transform(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts) Transforms many positions in a list of coordinate values. The default implementation delegates toshift(double)
for each point.- Specified by:
transform
in interfaceMathTransform
- Overrides:
transform
in classAbstractMathTransform
- Parameters:
srcPts
- the array containing the source point coordinates.srcOff
- the offset to the first point to be transformed in the source array.dstPts
- the array into which the transformed point coordinates are returned. May be the same thansrcPts
.dstOff
- the offset to the location of the first transformed point that is stored in the destination array.numPts
- the number of point objects to be transformed.
-
derivative
Gets the derivative of this transform at a point.Mathematical note
Strictly speaking the derivative at (n + 0.5) ×period
where n is an integer should be infinite because the coordinate value jumps "instantaneously" from any value to ±period
/2. However, in practice we use derivatives as linear approximations around small regions, not for calculations requiring strict mathematical values. An infinite value goes against the approximation goal. Furthermore, whether a source coordinate is an integer value or not is subject to rounding errors, which may cause unpredictable behavior if infinite values were returned.- Specified by:
derivative
in interfaceMathTransform
- Overrides:
derivative
in classAbstractMathTransform
- Parameters:
point
- the position where to evaluate the derivative (ignored in default implementation, may benull
).- Returns:
- transform derivative (identity matrix in default implementation).
-
inverse
Returns a wraparound transform producing values in the range of source coordinate values. Output values in the wraparound dimension will be in the [s−p/2 … s+p/2] range where s issourceMedian
and p isperiod
.- Specified by:
inverse
in interfaceMathTransform
- Overrides:
inverse
in classAbstractMathTransform
- Returns:
- wraparound transform producing values in the range of source coordinate values.
- Throws:
NoninvertibleTransformException
- ifsourceMedian
is NaN or infinite.
-
tryConcatenate
protected MathTransform tryConcatenate(boolean applyOtherFirst, MathTransform other, MathTransformFactory factory) throws FactoryException Concatenates in an optimized way this math transform with the given one, if possible. If this method detects a chain of operations like below:[wraparound] ⇄ [affine] ⇄ [wraparound or something else]
Then this method tries to move some dimensions of the [affine] step before or after the [wraparound] step in order to simplify (or ideally remove) the [affine] step in the middle. This move increases the chances that [affine] step is combined with other affine operations. Only dimensions that do not depend onwraparoundDimension
can be moved.- Overrides:
tryConcatenate
in classAbstractMathTransform
- Parameters:
applyOtherFirst
-true
if the transformation order isother
followed bythis
, orfalse
if the transformation order isthis
followed byother
.other
- the other math transform to (pre-)concatenate with this transform.factory
- the factory which is (indirectly) invoking this method, ornull
if none.- Returns:
- the math transforms combined in an optimized way, or
null
if no such optimization is available. - Throws:
FactoryException
- if an error occurred while combining the transforms.- See Also:
-
getParameterDescriptors
Returns the parameter descriptors for this math transform.- Specified by:
getParameterDescriptors
in interfaceParameterized
- Overrides:
getParameterDescriptors
in classAbstractMathTransform
- Returns:
- the parameter descriptors for this math transform.
- See Also:
-
getParameterValues
Returns the parameter values for this math transform. The set of parameters include the number of dimensions, the wraparound dimension and the period values. The default implementation does not include the source median because that parameter has no effect on forward transforms (it is used for creating the inverse transform).- Specified by:
getParameterValues
in interfaceParameterized
- Overrides:
getParameterValues
in classAbstractMathTransform
- Returns:
- the parameter values for this math transform.
- See Also:
-
equals
Compares this transform with the given object for equality.- Specified by:
equals
in interfaceLenientComparable
- Overrides:
equals
in classAbstractMathTransform
- Parameters:
object
- the object to compare with this transform.mode
- ignored, can benull
.- Returns:
true
if the given object is considered equals to this math transform.- See Also:
-
computeHashCode
protected int computeHashCode()Computes a hash code value for this transform.- Overrides:
computeHashCode
in classAbstractMathTransform
- Returns:
- the hash code value.
-