org.jscience.mathematics.geometry Class Point2D

```java.lang.Object
org.jscience.mathematics.geometry.GeometryElement
org.jscience.mathematics.geometry.AbstractPoint
org.jscience.mathematics.geometry.Point2D
```
All Implemented Interfaces:
java.io.Serializable
Direct Known Subclasses:
CartesianPoint2D, HomogeneousPoint2D, IntersectionPoint2D, PointOnGeometry2D

`public abstract class Point2Dextends AbstractPoint`

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`Vector2D`, Serialized Form

Field Summary
`static Point2D` `origin`
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Constructor Summary
`protected ` `Point2D()`
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Method Summary
` Point2D` `add(Vector2D vector)`
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` Point2D` ```center(Point2D pnt2, Point2D pnt3)```
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`static Point2D` ```center(Point2D pnt1, Point2D pnt2, Point2D pnt3)```
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` int` `dimension()`
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` double` `distance(Point2D mate)`
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` double` `distance2(Point2D mate)`
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` Point2D` `divide(double scale)`
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`protected abstract  Point2D` ```doTransformBy(boolean reverseTransform, CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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` boolean` `identical(Point2D mate)`
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` boolean` `is2D()`
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?

` boolean` `isIn(ParametricCurve2D mate)`
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` boolean` `isInsideOf(ParametricCurve2D mate)`
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` boolean` `isOn(ParametricCurve2D mate)`
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` Point2D` ```linearInterpolate(Point2D mate, double weightForThis)```
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` Point2D` `longestPoint(Point2D[] pnts)`
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` Point2D` ```longestPoint(Point2D[] pnts, int start, int end)```
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` Point2D` `midPoint(Point2D mate)`
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` Point2D` `multiply(double scale)`
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`static CartesianPoint2D` `of(double[] components)`
CartesianPoint2D �̃C���X�^���X��?
`static CartesianPoint2D` ```of(double x, double y)```
CartesianPoint2D �̃C���X�^���X��?
` PointOnCurve2D[]` `project(ParametricCurve2D mate)`
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`static Point2D[]` ```reverseTransform(Point2D[] points, CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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` Point2D` ```reverseTransformBy(CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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` Vector2D` `subtract(Point2D mate)`
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` Point2D` `subtract(Vector2D vector)`
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` Vector2D` `toVector2D()`
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`static Point2D[]` ```transform(Point2D[] points, boolean reverseTransform, CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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`static Point2D[]` ```transform(Point2D[] points, CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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` Point2D` ```transformBy(boolean reverseTransform, CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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` Point2D` ```transformBy(CartesianTransformationOperator2D transformationOperator, java.util.Hashtable transformedGeometries)```
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`abstract  double` `x()`
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`abstract  double` `y()`
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Methods inherited from class org.jscience.mathematics.geometry.AbstractPoint
`isPoint`

Methods inherited from class org.jscience.mathematics.geometry.GeometryElement
`getClassName, getToleranceForAngle, getToleranceForAngleAsObject, getToleranceForDistance, getToleranceForDistance2, getToleranceForDistanceAsObject, getToleranceForParameter, getToleranceForParameterAsObject, getToleranceForRealNumber, getToleranceForRealNumberAsObject, is1D, is3D, isCurve, isFreeform, isParametric, isPlacement, isSurface, isTransformationOperator, isVector, makeIndent, output, output`

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

origin

`public static final Point2D origin`
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Constructor Detail

Point2D

`protected Point2D()`
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Method Detail

dimension

`public int dimension()`
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Specified by:
`dimension` in class `GeometryElement`
Returns:
�Q�����Ȃ̂�?A?�� 2

is2D

`public boolean is2D()`
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?�� true ��Ԃ�?B

Overrides:
`is2D` in class `GeometryElement`
Returns:
�Q�����Ȃ̂�?A?�� `true`

x

`public abstract double x()`
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Returns:
�_�� X ?W�l

y

`public abstract double y()`
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Returns:
�_�� Y ?W�l

`public Point2D add(Vector2D vector)`
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Parameters:
`vector` - �_�ɑ����x�N�g��
Returns:
�^����ꂽ�x�N�g���𑫂����_ (this + vector)

subtract

`public Point2D subtract(Vector2D vector)`
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Parameters:
`vector` - �_�����x�N�g��
Returns:
�^����ꂽ�x�N�g����򢂽�_ (this - vector)

subtract

`public Vector2D subtract(Point2D mate)`
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Parameters:
`mate` - ?����鑊��̓_
Returns:
��_��?� (this - mate)

multiply

`public Point2D multiply(double scale)`
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Parameters:
`scale` - �X�P?[��
Returns:
(this * scale)

divide

`public Point2D divide(double scale)`
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Parameters:
`scale` - �X�P?[��
Returns:
(this / scale)

linearInterpolate

```public Point2D linearInterpolate(Point2D mate,
double weightForThis)```
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Parameters:
`mate` - ?�`��Ԃ̑���ƂȂ�_
`weightForThis` - ��?g�ɑ΂���?d�� (����ɑ΂���?d�݂� 1 - weightForThis)
Returns:
?�`��Ԃ������ʂ̓_ (weightForThis * this + (1 - weightForThis) * mate)

midPoint

`public Point2D midPoint(Point2D mate)`
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Parameters:
`mate` - ���_��?�߂鑊��ƂȂ�_
Returns:
���_ (0.5 * this + 0.5 * mate)

identical

`public boolean identical(Point2D mate)`
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Parameters:
`mate` - ����̑�?ۂƂȂ�_
Returns:
this �� mate ��?u�����̋��e��?�?v�ȓ�� ����̓_�ł���Ƃ݂Ȃ���� true?A����Ȃ��� false
`ConditionOfOperation`

toVector2D

`public Vector2D toVector2D()`
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Returns:
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project

```public PointOnCurve2D[] project(ParametricCurve2D mate)
throws IndefiniteSolutionException```
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Parameters:
`mate` - ���e��?ۂ̋�?�
Returns:
�w�肳�ꂽ��?�ւ̓��e�_ (��?݂��Ȃ��Ƃ��͒���0�̔z���Ԃ�)
Throws:
`IndefiniteSolutionException` - �⪕s��ł���

isOn

`public boolean isOn(ParametricCurve2D mate)`
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Parameters:
`mate` - �����?ۂ̋�?�
Returns:
��?��?��?�BĂ���� true?A�����łȂ���� false

isIn

```public boolean isIn(ParametricCurve2D mate)
throws OpenCurveException```
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�_����?��?�BĂ���?�?��ɂ�?u�Ѥ�ɂ���?v��̂Ƃ���?B

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Parameters:
`mate` - �����?ۂ̕�?�
Returns:
��?�̓Ѥ�ɂ���� true?A�����łȂ���� false
Throws:
`OpenCurveException` - mate �͊J������?�ł���

isInsideOf

```public boolean isInsideOf(ParametricCurve2D mate)
throws OpenCurveException```
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�_����?��?�BĂ���?�?��ɂ�?u�O���ɂ���?v��̂Ƃ���?B

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Parameters:
`mate` - �����?ۂ̕�?�
Returns:
��?�̓Ѥ�ɂ���� true?A�����łȂ���� false
Throws:
`OpenCurveException` - mate �͊J������?�ł���

distance

`public double distance(Point2D mate)`
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Parameters:
`mate` - ������?�߂�_
Returns:
this - mate �Ԃ̋���

distance2

`public double distance2(Point2D mate)`
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Parameters:
`mate` - �����̎�?��?�߂�_
Returns:
this - mate �Ԃ̋����̎�?�

longestPoint

`public Point2D longestPoint(Point2D[] pnts)`
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Parameters:
`pnts` - �_��
Returns:
?łɓ���_

longestPoint

```public Point2D longestPoint(Point2D[] pnts,
int start,
int end)```
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Parameters:
`pnts` - �_��
`start` - �J�n�_�̃C���f�b�N�X (0 ~ pnts.length - 1)
`end` - ?I���_�̃C���f�b�N�X (0 ~ pnts.length - 1, start <= end)
Returns:
?łɓ���_

center

```public Point2D center(Point2D pnt2,
Point2D pnt3)```
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pnt2, pnt3 �̂����ꂩ�� null ��?�?��ɂ� InvalidArgumentValueException �̗�O��?�����?B

�܂�?A�O�_����?�?�Ԃɂ���?�?��ɂ� InvalidArgumentValueException �̗�O��?�����?B

Parameters:
`pnt2` - �_2
`pnt3` - �_3
Returns:
this, pnt2, pnt3 ����̓������_

center

```public static Point2D center(Point2D pnt1,
Point2D pnt2,
Point2D pnt3)```
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pnt1, pnt2, pnt3 �̂����ꂩ�� null ��?�?��ɂ� InvalidArgumentValueException �̗�O��?�����?B

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Parameters:
`pnt1` - �_1
`pnt2` - �_2
`pnt3` - �_3
Returns:
�O�_����̓������_

doTransformBy

```protected abstract Point2D doTransformBy(boolean reverseTransform,
CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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this �� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A this �� transformationOperator �ŕϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł� this ��L?[?A �ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

this �� transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�� this �� transformationOperator �ŕϊ�������̂�Ԃ�?B

Parameters:
`reverseTransform` - �t�ϊ�����̂ł���� true?A�����łȂ���� false
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��
Returns:
�ϊ���̊􉽗v�f

transformBy

```public Point2D transformBy(boolean reverseTransform,
CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

this �� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A this �� transformationOperator �ŕϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł� this ��L?[?A �ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

this �� transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�� this �� transformationOperator �ŕϊ�������̂�Ԃ�?B

Parameters:
`reverseTransform` - �t�ϊ�����̂ł���� true?A�����łȂ���� false
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��
Returns:
�ϊ���̊􉽗v�f

transformBy

```public Point2D transformBy(CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

this �� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A this �� transformationOperator �ŕϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł� this ��L?[?A �ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

this �� transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�� this �� transformationOperator �ŕϊ�������̂�Ԃ�?B

Parameters:
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��
Returns:
�ϊ���̊􉽗v�f

reverseTransformBy

```public Point2D reverseTransformBy(CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

this �� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A this �� transformationOperator �ŋt�ϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł� this ��L?[?A �ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

this �� transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�� this �� transformationOperator �ŋt�ϊ�������̂�Ԃ�?B

Parameters:
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��
Returns:
�t�ϊ���̊􉽗v�f

transform

```public static Point2D[] transform(Point2D[] points,
boolean reverseTransform,
CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

��?ۂƂȂ�_�� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A ����� transformationOperator �ŕϊ�������̂�Ԃ�?B ��?ۂƂȂ邪 transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�ɑ�?ۂƂȂ�_�� transformationOperator �ŕϊ�������̂�Ԃ�?B

Parameters:
`points` - �_��
`reverseTransform` - �t�ϊ�����̂ł���� true?A�����łȂ���� false
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��

transform

```public static Point2D[] transform(Point2D[] points,
CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
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transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

��?ۂƂȂ�_�� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A ����� transformationOperator �ŕϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł͑�?ۂƂȂ�_��L?[?A ���̕ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

��?ۂƂȂ邪 transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�ɑ�?ۂƂȂ�_�� transformationOperator �ŕϊ�������̂�Ԃ�?B

Parameters:
`points` - �_��
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��

reverseTransform

```public static Point2D[] reverseTransform(Point2D[] points,
CartesianTransformationOperator2D transformationOperator,
java.util.Hashtable transformedGeometries)```
�_���?A�^����ꂽ�􉽓I�ϊ����Z�q�ŋt�ϊ�����?B

transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

��?ۂƂȂ�_�� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A ����� transformationOperator �ŋt�ϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł͑�?ۂƂȂ�_��L?[?A ���̕ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒǉB���?B

��?ۂƂȂ邪 transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�ɑ�?ۂƂȂ�_�� transformationOperator �ŋt�ϊ�������̂�Ԃ�?B

Parameters:
`points` - �_��
`transformationOperator` - �􉽓I�ϊ����Z�q
`transformedGeometries` - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��

of

```public static CartesianPoint2D of(double x,
double y)```
CartesianPoint2D �̃C���X�^���X��?�?�����?B

Parameters:
`x` - X ?���
`y` - Y ?���
Returns:
CartesianPoint2D �̃C���X�^���X

of

`public static CartesianPoint2D of(double[] components)`
CartesianPoint2D �̃C���X�^���X��?�?�����?B

Parameters:
`components` - X, Y?����̔z�� (�v�f?� 2)
Returns:
CartesianPoint2D �̃C���X�^���X