2023.0.11

• ### Field Summary

Fields
Modifier and Type Field and Description
`static double` `EPSILON`
The constant `EPSILON` is used for two purposes.
• ### Method Summary

All Methods
Modifier and Type Method and Description
`double[][]` `boundaryLats(double aLongitude)`
Calculates an array of latitude pairs for a given longitude that are at the boundary of the valid area of the transformation of the projection.
`double[][]` `boundaryLons(double aLatitude)`
Calculates an array of longitude pairs for a given latitude that are at the boundary of the valid area of the transformation of the projection.
`Object` `clone()`
Makes a deep clone of this `ILcdProjection`.
`boolean` `equals(Object aProjection)`
Checks if this `ILcdProjection` equals some other Object.
`ILcdPoint` `getOrigin()`
Origin of the projection is the `ILcd2DEditablePoint` that corresponds with origin (0, 0) of the cartesian coordinate system of the projection.
`boolean` `inLonLatBounds(ILcdPoint aLLHP)`
Checks if an `ILcdPoint` is inside the valid area of geodetic coordinates of the projection.
`boolean` ```inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid)```
Checks if a `ILcdPoint` is inside the valid cartesian area of the projection.
`boolean` ```inWorldBoundsOnSphere(ILcdPoint aXYPoint, double aRadius)```
Checks if a `ILcdPoint` is inside the valid cartesian area of the projection.
`boolean` `isAllInBounds()`
If all geodetic coordinates (l ,j ) are projected (visible) by an `ILcdProjection` and all (x,y ) coordinates are bounded this is `true`.
`boolean` `isContinuous()`
An `ILcdProjection` is continuous if there are no interruptions in the world coordinates.
`void` ```loadProperties(String aPrefix, Properties aProperties)```
The properties of an `ILcdProjection` determine the projection parameters that determine the plane, cylinder or cone on which the projection is done.
`void` ```lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aXYPointSFCT)```
Transforms an `ILcdPoint` on an `ILcdEllipsoid` into the cartesian coordinate system of the projection.
`void` ```lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP, double aRadius, ILcd2DEditablePoint aXYPointSFCT)```
Transforms an `ILcd2DEditablePoint` on a sphere into the cartesian coordinate system of the projection.
`String` `toString()`
String representation of this `ILcdProjection`.
`void` ```world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid, ILcd2DEditableBounds aWorldBounds)```
Sets the `ILcd2DEditableBounds` object to the bounds of the projection in world coordinates.
`void` ```world2DEditableBoundsOnSphereSFCT(double aRadius, ILcd2DEditableBounds aWorldBounds)```
Sets the `ILcd2DEditableBounds` object to the bounds of the projection in world coordinates.
`void` ```world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint, ILcdEllipsoid aEllipsoid, ILcd2DEditablePoint aLLPointSFCT)```
Transforms an `ILcdPoint` from the cartesian coordinate system of the projection into an `ILcd2DEditablePoint` onto an `ILcdEllipsoid`.
`void` ```world2lonlatOnSphereSFCT(ILcdPoint aXYPoint, double aRadius, ILcd2DEditablePoint aLLPointSFCT)```
Transforms an `ILcdPoint` from the cartesian coordinate system of the projection into an `ILcd2DEditablePoint` onto a sphere.
`void` ```writePropertiesSFCT(String aPrefix, Properties aPropertiesSFCT)```
The properties of an `ILcdProjection` determine the projection parameters that determine the plane, cylinder or cone on which the projection is done.
• ### Methods inherited from interface com.luciad.util.ILcdPropertyChangeSource

`addPropertyChangeListener, removePropertyChangeListener`
• ### Field Detail

• #### EPSILON

`static final double EPSILON`
The constant `EPSILON` is used for two purposes.
1. It serves as a safety measure for numerical rounding and approximation errors. When the grid is painted with a certain projection it asks for the boundaries of the projection used. However, some of these boundaries are determined from the projection formulas for the sphere while in general the projection formulas of the ellipsoid are used. This can introduce some approximation errors that may lead to out of bounds exceptions. When this happens the grid line would not be painted. Even if one is able to calculate the exact boundaries of the projection this out of bounds exception might occur. Rounding errors might cause exact boundary points to be considered out of bounds.
2. The `ILcdProjection` provides the grid painter with information about the boundary longitudes for a certain latitude. If the whole interval [-180,180] is visible, there will be unwanted lines drawn. This is due to the fact that the longitude -180 is exactly the same as the longitude 180 whereas this same point is visible twice (at two sides of the projection plane). We prevent drawing a line from one side of the screen to the other side of the screen by narrowing the longitude interval.
Constant Field Values
• ### Method Detail

```void loadProperties(String aPrefix,
Properties aProperties)```
The properties of an `ILcdProjection` determine the projection parameters that determine the plane, cylinder or cone on which the projection is done. The properties of an `ILcdProjection` are of course dependent on the projection. A common property for all `ILcdprojection` objects is the origin of the projection. Other, more specific, properties are standard parallels, azimuthal direction, perspective distance, ... .
Parameters:
`aPrefix` - prefix for property names.
`aProperties` - Properties object containing the serialized projection.
• #### writePropertiesSFCT

```void writePropertiesSFCT(String aPrefix,
Properties aPropertiesSFCT)```
The properties of an `ILcdProjection` determine the projection parameters that determine the plane, cylinder or cone on which the projection is done. The properties of an `ILcdProjection` are of course dependent on the projection. A common property for all `ILcdprojection` objects is the origin of the projection. Other, more specific, properties are standard parallels, azimuthal direction, perspective distance, ... .
Parameters:
`aPrefix` - prefix for property names.
`aPropertiesSFCT` - Properties object in which to store the serialized projection properties as side effect.
• #### isAllInBounds

`boolean isAllInBounds()`
If all geodetic coordinates (l ,j ) are projected (visible) by an `ILcdProjection` and all (x,y ) coordinates are bounded this is `true`. All `ILcdProjection` objects have bounded (x,y ) coordinates because the projection is cut off if necessary.
Returns:
`true` if all LonLatPoints are within the bounds of the projection, `false` otherwise.
• #### isContinuous

`boolean isContinuous()`
An `ILcdProjection` is continuous if there are no interruptions in the world coordinates. Most projections are continuous.
Returns:
`true` if the projection is continuous, `false` otherwise.
• #### getOrigin

`ILcdPoint getOrigin()`
Origin of the projection is the `ILcd2DEditablePoint` that corresponds with origin (0, 0) of the cartesian coordinate system of the projection.
Returns:
the origin of the projection.
• #### lonlatheight2worldOnSphereSFCT

```void lonlatheight2worldOnSphereSFCT(ILcdPoint aLLHP,
ILcd2DEditablePoint aXYPointSFCT)
throws TLcdOutOfBoundsException```
Transforms an `ILcd2DEditablePoint` on a sphere into the cartesian coordinate system of the projection.
Parameters:
`aLLHP` - point to be projected.
`aRadius` - radius of the sphere (meters).
`aXYPointSFCT` - projected point as side effect.
Throws:
`TLcdOutOfBoundsException` - If the `ILcdPoint` `aLLHP` is not within the valid area of the projection (visible area), then this exception is thrown.
• #### lonlatheight2worldOnEllipsoidSFCT

```void lonlatheight2worldOnEllipsoidSFCT(ILcdPoint aLLHP,
ILcdEllipsoid aEllipsoid,
ILcd2DEditablePoint aXYPointSFCT)
throws TLcdOutOfBoundsException```
Transforms an `ILcdPoint` on an `ILcdEllipsoid` into the cartesian coordinate system of the projection.
Parameters:
`aLLHP` - point to be projected.
`aEllipsoid` - ellipsoid on which the point is defined.
`aXYPointSFCT` - projected point as side effect.
Throws:
`TLcdOutOfBoundsException` - If the `ILcdPoint` `aLLHP` is not within the valid area of the projection (visible area), then this exception is thrown.
• #### world2lonlatOnSphereSFCT

```void world2lonlatOnSphereSFCT(ILcdPoint aXYPoint,
ILcd2DEditablePoint aLLPointSFCT)
throws TLcdOutOfBoundsException```
Transforms an `ILcdPoint` from the cartesian coordinate system of the projection into an `ILcd2DEditablePoint` onto a sphere.
Parameters:
`aXYPoint` - projected point for which the corresponding geodetic point is sought.
`aRadius` - radius of the sphere (meters).
`aLLPointSFCT` - resulting geodetic coordinate as side effect.
Throws:
`TLcdOutOfBoundsException` - If the `ILcdPoint` `aXYPoint` is not within the valid area of the projection (visible area), then this exception is thrown.
• #### world2lonlatOnEllipsoidSFCT

```void world2lonlatOnEllipsoidSFCT(ILcdPoint aXYPoint,
ILcdEllipsoid aEllipsoid,
ILcd2DEditablePoint aLLPointSFCT)
throws TLcdOutOfBoundsException```
Transforms an `ILcdPoint` from the cartesian coordinate system of the projection into an `ILcd2DEditablePoint` onto an `ILcdEllipsoid`.
Parameters:
`aXYPoint` - projected point for which the corresponding geodetic point is sought.
`aEllipsoid` - ellipsoid on which the geodetic coordinate is defined.
`aLLPointSFCT` - resulting geodetic coordinate as side effect.
Throws:
`TLcdOutOfBoundsException` - If the `ILcdPoint` `aXYPoint` is not within the valid area of the projection (visible area), then this exception is thrown.
• #### inLonLatBounds

`boolean inLonLatBounds(ILcdPoint aLLHP)`
Checks if an `ILcdPoint` is inside the valid area of geodetic coordinates of the projection. The valid area is determined by the LonLatPoints that are visible and for which the corresponding cartesian coordinate is within the boundaries.
Parameters:
`aLLHP` - `ILcdPoint` to be checked upon.
Returns:
`true` if valid, `false` if invalid.
• #### inWorldBoundsOnSphere

```boolean inWorldBoundsOnSphere(ILcdPoint aXYPoint,
Checks if a `ILcdPoint` is inside the valid cartesian area of the projection. The valid cartesian area is determined naturally by the projection bounds or by an artificial introduced boundary limit because some cartesian points are at infinity. The shape of the valid cartesian area is in many cases rectangular or circular although it might be more complex.
Parameters:
`aXYPoint` - point to be checked upon.
`aRadius` - radius of the sphere.
Returns:
`true` if valid, `false` if invalid.
• #### inWorldBoundsOnEllipsoid

```boolean inWorldBoundsOnEllipsoid(ILcdPoint aXYPoint,
ILcdEllipsoid aEllipsoid)```
Checks if a `ILcdPoint` is inside the valid cartesian area of the projection.
Parameters:
`aXYPoint` - point to be checked upon.
`aEllipsoid` - ellipsoid on which the geodetic coordinate is defined.
Returns:
`true` if valid, `false` if invalid.
`inWorldBoundsOnSphere(com.luciad.shape.ILcdPoint, double)`
• #### world2DEditableBoundsOnSphereSFCT

```void world2DEditableBoundsOnSphereSFCT(double aRadius,
ILcd2DEditableBounds aWorldBounds)```
Sets the `ILcd2DEditableBounds` object to the bounds of the projection in world coordinates.
Parameters:
`aRadius` - radius of the sphere.
`aWorldBounds` - the bounds of the projection in world coordinates as side effect.
• #### world2DEditableBoundsOnEllipsoidSFCT

```void world2DEditableBoundsOnEllipsoidSFCT(ILcdEllipsoid aEllipsoid,
ILcd2DEditableBounds aWorldBounds)```
Sets the `ILcd2DEditableBounds` object to the bounds of the projection in world coordinates.
Parameters:
`aEllipsoid` - ellipsoid considered.
`aWorldBounds` - the bounds of the projection in world coordinates as side effect.
• #### boundaryLons

`double[][] boundaryLons(double aLatitude)`
Calculates an array of longitude pairs for a given latitude that are at the boundary of the valid area of the transformation of the projection.
Parameters:
`aLatitude` - latitude in decimal degrees and -90.0 <= `aLat`<= 90.0.
Returns:
the array of pairs of longitudes[0] and longitudes[1], where the closed interval longitudes[0] -> longitudes[1] is in visible area and -180.0 <= lon[i] <= 180.0.
• #### boundaryLats

`double[][] boundaryLats(double aLongitude)`
Calculates an array of latitude pairs for a given longitude that are at the boundary of the valid area of the transformation of the projection.
Parameters:
`aLongitude` - longitude in decimal degrees -180.0 <= lon <= 180.0 .
Returns:
the array of pairs of latitudes lats[0] and lats[1], where the closed interval lats[0] -> lats[1] is in visible area and -90.0 <= lats[i] <= 90.0 .
• #### toString

`String toString()`
String representation of this `ILcdProjection`.
Overrides:
`toString` in class `Object`
Returns:
String representation of this `ILcdProjection`.
• #### clone

`Object clone()`
Makes a deep clone of this `ILcdProjection`.
Returns:
deep clone of this `ILcdProjection`.
• #### equals

`boolean equals(Object aProjection)`
Checks if this `ILcdProjection` equals some other Object.
Overrides:
`equals` in class `Object`
Parameters:
`aProjection` - Object to compare with.
Returns:
true if the Object is an instance of the same `ILcdProjection` class and having the same projection properties, false otherwise.