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:: com :: sun :: star :: geometry ::

interface XMapping2D
Description
Interface defining an arbitrary bijective mapping from R^2 to R^2.

This interface provides methods to define an arbitrary bijective mapping from R^2 to R^2, i.e. from the two-dimensional space of real numbers onto itself, as is representable by the ::double floating point type. The mapping must be bijective, i.e. map a pair of real numbers to exactly one other pair of real numbers an vice versa, to facilitate a working inverse. Bijectiveness also implies completeness, i.e. for every pair of real numbers there must be another pair that is mapped upon them.

Since
OOo 2.0

Methods' Summary
map Forward 2D mapping function  
mapInverse Inverse 2D mapping function. 
Methods' Details
map
RealPoint2D
map( [in] RealPoint2D  aPoint );

Description
Forward 2D mapping function
mapInverse
RealPoint2D
mapInverse( [in] RealPoint2D  aPoint );

Description
Inverse 2D mapping function.

The following invariant must hold: map(mapInverse(p))=p. This effectively rules out non-bijective mappings.

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