treebolic.core
Class HyperTranslation

java.lang.Object
  treebolic.core.Complex
      treebolic.core.HyperTranslation

public class HyperTranslation
extends Complex

Translation

Author:

Bernard Bou

Field Summary

Fields inherited from class treebolic.core.Complex

EAST, im, NORTH, ONE, re, SOUTH, WEST, ZERO

Constructor Summary

HyperTranslation()
Default constructor (defaulting to null translation)

HyperTranslation(Complex p)
Constructor from point, cartesian representation of translation (relative to 0,0 origin)

HyperTranslation(Complex from, Complex to)
Construct tranlation from source point and destination points

HyperTranslation(Complex from, Complex to, boolean dummy)
Constructor of hyperbolic translation which maps 'from' to 0,0 and 0,0 to 'to'

HyperTranslation(double x, double y)
Constructor from point, cartesian representation of translation (relative to 0,0 origin)

Method Summary

static HyperTransform	compose(HyperTranslation t1, HyperTranslation t2) Compose 2 translations
HyperTranslation	inverse() Inverse
Complex	map(Complex z) Map point
static Complex	map(Complex z, Complex p) Map point by translation expressed as point
static Complex	map2(Complex z, Complex p1, Complex p2) Double-map point by translations expressed as points
Complex	mapinv(Complex z) Map point by this translation's inverse
static Complex	mapinv(Complex z, Complex p) Map point by inverse of translation expressed as point
Complex	toComplex() Convert to cartesian representation of translation as point relative to 0,0
java.lang.String	toString()

Methods inherited from class treebolic.core.Complex

abs2, add, add, arg, conj, conj, div, div, divide, divide, equals, mag, makeFromArg, makeFromArgAbs, mul, mul, multiply, multiply, neg, neg, normalize, onediv, set, set, sub, sub

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

HyperTranslation

public HyperTranslation()

Default constructor (defaulting to null translation)

HyperTranslation

public HyperTranslation(Complex p)

Constructor from point, cartesian representation of translation (relative to 0,0 origin)

Parameters:

p - cartesian representation of translation as a point (relative to 0,0 origin)

HyperTranslation

public HyperTranslation(double x,
                        double y)

Constructor from point, cartesian representation of translation (relative to 0,0 origin)

Parameters:

x - x-coordinate of cartesian representation of translation (relative to 0,0 origin)

y - y-coordinate of cartesian representation of translation (relative to 0,0 origin)

HyperTranslation

public HyperTranslation(Complex from,
                        Complex to,
                        boolean dummy)

Constructor of hyperbolic translation which maps 'from' to 0,0 and 0,0 to 'to'

Parameters:

from - source point to be translated to 0,0

to - traget point 0,0 is to be translated to

dummy - dummy

HyperTranslation

public HyperTranslation(Complex from,
                        Complex to)

Construct tranlation from source point and destination points

Parameters:

from - source point

to - destination point

Method Detail

toComplex

public Complex toComplex()

Convert to cartesian representation of translation as point relative to 0,0

Returns:

cartesian representation of translation as point relative to 0,0

map

public static Complex map(Complex z,
                          Complex p)

Map point by translation expressed as point

Parameters:

z - point to be mapped

p - point expressing translation relative to 0,0

Returns:

this point with mapped values

map2

public static Complex map2(Complex z,
                           Complex p1,
                           Complex p2)

Double-map point by translations expressed as points

Parameters:

z - point to be mapped

p1 - point expressing translation relative to 0,0

p2 - point expressing translation relative to 0,0

Returns:

this point with mapped values

mapinv

public static Complex mapinv(Complex z,
                             Complex p)

Map point by inverse of translation expressed as point

Parameters:

z - point to be mapped

p - point expressing translation relative to 0,0

Returns:

this point with mapped values (by inverse translation)

map

public Complex map(Complex z)

Map point

Parameters:

z - point to be mapped

Returns:

this point with mapped values

mapinv

public Complex mapinv(Complex z)

Map point by this translation's inverse

Parameters:

z - point to be mapped

Returns:

this point with mapped values

inverse

public HyperTranslation inverse()

Inverse

Returns:

this translation with inversed values

compose

public static HyperTransform compose(HyperTranslation t1,
                                     HyperTranslation t2)

Compose 2 translations

Parameters:

t1 - translation

t2 - translation

Returns:

transform resulting from the composition of 2 translations

toString

public java.lang.String toString()

Overrides:

toString in class Complex