java.lang.Object
- geomss.geom.AbstractGeomElement<GeomPoint>
- - geomss.geom.GeomPoint

All Implemented Interfaces:

GeomElement<GeomPoint>, PointGeometry<GeomPoint>, Transformable<GeomPoint>, XYPoint, java.io.Serializable, java.lang.Cloneable, java.lang.Comparable, javolution.lang.Reusable, javolution.xml.XMLSerializable

Direct Known Subclasses:

GeomPointTrans, MutablePoint, Point, SubrangePoint
```
public abstract class GeomPoint
extends AbstractGeomElement<GeomPoint>
implements PointGeometry<GeomPoint>, Transformable<GeomPoint>, XYPoint
```
A container that holds the coordinates of a point in n-dimensional space.
* Modified by: Joseph A. Huwaldt

Version:

February 5, 2018

Author:

Joseph A. Huwaldt, Date: December 11, 1999

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field	Description
`static int`	`W`	Constant used to identify the W or 4th coordinate.
`static int`	`X`	Constant used to identify the X or 1st coordinate.
`static int`	`Y`	Constant used to identify the Y or 2nd coordinate.
`static int`	`Z`	Constant used to identify the Z or 3rd coordinate.

Fields inherited from class geomss.geom.AbstractGeomElement
RESOURCES

Constructor Summary

Constructors
Constructor Description

GeomPoint()

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method	Description
`abstract GeomPoint`	`copy()`	Returns a copy of this `GeomPoint` instance `allocated` by the calling thread (possibly on the stack).
`abstract Point`	`copyToReal()`	Return a copy of this object with any transformations or subranges removed (applied).
`Parameter<javax.measure.quantity.Length>`	`distance(GeomPoint that)`	Return the Euclidian distance between this point and the one specified.
`Parameter<javax.measure.quantity.Area>`	`distanceSq(GeomPoint that)`	Return the square of the Euclidian distance between this point and the one specified.
`double`	`distanceSqValue(GeomPoint that)`	Return the Euclidian distance squared between this point and the one specified as a `double`.
`double`	`distanceValue(GeomPoint that)`	Return the Euclidian distance between this point and the one specified as a `double`.
`Point`	`divide(double divisor)`	Returns this point with each element divided by the specified divisor.
`Point`	`divide(Parameter<javax.measure.quantity.Dimensionless> divisor)`	Returns this point with each element divided by the specified dimensionless Parameter.
`Parameter<javax.measure.quantity.Length>`	`get(int i)`	Returns the value of a Parameter from this point.
`Point`	`getBoundsMax()`	Return the coordinate point representing the maximum bounding box corner (e.g.: max X, max Y, max Z).
`Point`	`getBoundsMin()`	Return the coordinate point representing the minimum bounding box corner (e.g.: min X, min Y, min Z).
`GeomPoint`	`getLimitPoint(int dim, boolean max, double tol)`	Returns the most extreme point, either minimum or maximum, in the specified coordinate direction on this geometry element.
`int`	`getNumberOfPoints()`	Return the total number of points in this geometry element.
`int`	`getParDimension()`	Returns the number of parametric dimensions of the geometry element.
`GeomPointTrans`	`getTransformed(GTransform transform)`	Returns transformed version of this element.
`abstract double`	`getValue(int i)`	Returns the value of a coordinate in this point as a `double`, stated in this point's `unit`.
`abstract double`	`getValue(int i, javax.measure.unit.Unit<javax.measure.quantity.Length> unit)`	Returns the value of a coordinate in this point as a `double`, stated in the specified unit.
`double`	`getX()`	Return the X-coordinate of this point as a `double`, stated in this point's `unit`.
`double`	`getY()`	Return the Y-coordinate of this point as a `double`, stated in this point's `unit`.
`double`	`getZ()`	Return the Z-coordinate of this point as a `double`, stated in this point's `unit`.
`abstract Point`	`immutable()`	Return an immutable version of this point.
`boolean`	`isApproxEqual(GeomPoint obj)`	Compares this point against the specified point for approximate equality (coordinate values approximately equal to this one to within the numerical roundoff tolerance).
`boolean`	`isApproxEqual(GeomPoint obj, Parameter<javax.measure.quantity.Length> tol)`	Compares this point against the specified point for approximate equality (coordinate values approximately equal to this one to within the numerical roundoff tolerance).
`boolean`	`isValid()`	Return `true` if this point contains valid and finite numerical components.
`Point`	`max(GeomPoint that)`	Returns a point consisting of the maximum value in each dimension between this point and the input point.
`Point`	`min(GeomPoint that)`	Returns a point consisting of the minimum value in each dimension between this point and the input point.
`abstract Point`	`minus(GeomPoint that)`	Returns the difference between this point and the one specified.
`abstract Point`	`minus(Parameter<javax.measure.quantity.Length> that)`	Subtracts the specified parameter from each component of this point.
`Parameter<javax.measure.quantity.Length>`	`norm()`	Returns the Euclidian norm, magnitude, or length of the vector from the origin to this point (square root of the dot product of the origin-to-this-point vector and itself).
`Parameter<javax.measure.quantity.Area>`	`normSq()`	Returns the square of the Euclidean norm, magnitude, or length of the vector from the origin to this point (the dot product of the origin-to-this-point vector and itself).
`abstract double`	`normSqValue()`	Returns the square of the Euclidean norm, magnitude, or length value of the vector from the origin to this point (the dot product of the origin-to-this-point vector and itself).
`double`	`normValue()`	Returns the `norm()`, magnitude, or length value of the vector from the origin to this point (square root of the dot product of the origin-to-this-point vector and itself).
`abstract Point`	`opposite()`	Returns the negation of this point (all the values of each dimension negated).
`abstract Point`	`plus(GeomPoint that)`	Returns the sum of this point with the one specified.
`abstract Point`	`plus(Parameter<javax.measure.quantity.Length> that)`	Adds the specified parameter to each component of this point.
`int`	`size()`	Returns the number of child-elements that make up this geometry element.
`abstract Point`	`times(double k)`	Returns the product of this point with the specified coefficient.
`Point`	`times(Parameter<javax.measure.quantity.Dimensionless> k)`	Returns the product of this point with the specified dimensionless Parameter.
`double[]`	`toArray()`	Returns the values stored in this point as a Java array, stated in the current `units`.
`double[]`	`toArray(double[] array)`	Returns the values stored in this point, stated in the current `units` stored in the input Java array.
`abstract Float64Vector`	`toFloat64Vector()`	Returns the values stored in this point, stated in the current `units`, as a Float64Vector.
`Vector<javax.measure.quantity.Length>`	`toGeomVector()`	Returns a `GeomVector` representation of this point.
`ParameterVector<javax.measure.quantity.Length>`	`toParameterVector()`	Returns a ParameterVector representation of this point.
`javolution.text.Text`	`toText()`	Returns the text representation of this geometry element that consists of the name followed by the coordinate values.
`Vector3D<javax.measure.quantity.Length>`	`toVector3D()`	Returns a Vector3D representation of this point if possible.

Methods inherited from class geomss.geom.AbstractGeomElement
addChangeListener, clone, compareTo, equals, getAllUserData, getID, getName, getUserData, hashCode, putAllUserData, putUserData, removeChangeListener, removeUserData, reset, setName, toString

Methods inherited from class java.lang.Object
getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface java.lang.Comparable
compareTo

Methods inherited from interface geomss.geom.GeomElement
addChangeListener, getAllUserData, getID, getName, getPhyDimension, getUnit, getUserData, putAllUserData, putUserData, removeChangeListener, removeUserData, setName, toDimension

Methods inherited from interface geomss.geom.PointGeometry
to

- Field Detail
  - X
```
public static final int X
```
    Constant used to identify the X or 1st coordinate.
    
    See Also:
    
    Constant Field Values
  - Y
```
public static final int Y
```
    Constant used to identify the Y or 2nd coordinate.
    
    See Also:
    
    Constant Field Values
  - Z
```
public static final int Z
```
    Constant used to identify the Z or 3rd coordinate.
    
    See Also:
    
    Constant Field Values
  - W
```
public static final int W
```
    Constant used to identify the W or 4th coordinate.
    
    See Also:
    
    Constant Field Values
- Constructor Detail
  - GeomPoint
```
public GeomPoint()
```
- Method Detail
  - immutable
```
public abstract Point immutable()
```
    Return an immutable version of this point.
    
    Returns:
    
    an immutable version of this point.
  - size
```
public int size()
```
    Returns the number of child-elements that make up this geometry element. This implementation always returns 0 as a GeomPoint is not made up of any other elements.
    
    Specified by:
    
    size in interface GeomElement<GeomPoint>
    
    Returns:
    
    The number of child-elements that make up this geometry element.
  - getParDimension
```
public int getParDimension()
```
    Returns the number of parametric dimensions of the geometry element. This implementation always returns 0 as a GeomPoint is not parametric.
    
    Specified by:
    
    getParDimension in interface GeomElement<GeomPoint>
    
    Returns:
    
    The number of parametric dimensions of this geometry element.
  - get
```
public Parameter<javax.measure.quantity.Length> get(int i)
```
    Returns the value of a Parameter from this point.
    
    Parameters:
    
    i - the dimension index.
    
    Returns:
    
    the value of the parameter at i.
    
    Throws:
    
    java.lang.IndexOutOfBoundsException - (i < 0) || (i ≥ getPhyDimension())
  - getValue
```
public abstract double getValue(int i)
```
    Returns the value of a coordinate in this point as a double, stated in this point's unit.
    
    Parameters:
    
    i - the dimension index.
    
    Returns:
    
    the value of the Parameter at i.
    
    Throws:
    
    java.lang.IndexOutOfBoundsException - (i < 0) || (i ≥ getPhyDimension())
  - getValue
```
public abstract double getValue(int i,
                                javax.measure.unit.Unit<javax.measure.quantity.Length> unit)
```
    Returns the value of a coordinate in this point as a double, stated in the specified unit.
    
    Parameters:
    
    i - the dimension index.
    
    unit - the unit to return the value in. May not be null.
    
    Returns:
    
    the value of the Parameter at i in the specified unit.
    
    Throws:
    
    java.lang.IndexOutOfBoundsException - (i < 0) || (i ≥ dimension())
  - getX
```
public double getX()
```
    Return the X-coordinate of this point as a double, stated in this point's unit.
    
    Specified by:
    
    getX in interface XYPoint
    
    Returns:
    
    the value of the X-coordinate in the current units.
  - getY
```
public double getY()
```
    Return the Y-coordinate of this point as a double, stated in this point's unit.
    
    Specified by:
    
    getY in interface XYPoint
    
    Returns:
    
    the value of the Y-coordinate in the current units.
  - getZ
```
public double getZ()
```
    Return the Z-coordinate of this point as a double, stated in this point's unit.
    
    Returns:
    
    the value of the Z-coordinate in the current units.
  - normSqValue
```
public abstract double normSqValue()
```
    Returns the square of the Euclidean norm, magnitude, or length value of the vector from the origin to this point (the dot product of the origin-to-this-point vector and itself). This is slightly faster than calling normValue if the squared value is all that is needed.
    
    Returns:
    
    this.normSq().getValue().
    
    See Also:
    
    normValue()
  - normSq
```
public Parameter<javax.measure.quantity.Area> normSq()
```
    Returns the square of the Euclidean norm, magnitude, or length of the vector from the origin to this point (the dot product of the origin-to-this-point vector and itself). This is slightly faster than calling normValue if the squared value is all that is needed.
    
    Returns:
    
    this · this.
    
    See Also:
    
    norm()
  - normValue
```
public double normValue()
```
    Returns the norm(), magnitude, or length value of the vector from the origin to this point (square root of the dot product of the origin-to-this-point vector and itself).
    
    Returns:
    
    this.norm().doubleValue().
    
    See Also:
    
    normSqValue()
  - norm
```
public Parameter<javax.measure.quantity.Length> norm()
```
    Returns the Euclidian norm, magnitude, or length of the vector from the origin to this point (square root of the dot product of the origin-to-this-point vector and itself).
    
    Returns:
    
    sqrt(this · this).
    
    See Also:
    
    normValue()
  - plus
```
public abstract Point plus(GeomPoint that)
```
    Returns the sum of this point with the one specified. The unit of the output point will be the units of this point.
    
    Parameters:
    
    that - the point to be added. May not be null.
    
    Returns:
    
    this + that.
    
    Throws:
    
    DimensionException - if point dimensions are different.
  - plus
```
public abstract Point plus(Parameter<javax.measure.quantity.Length> that)
```
    Adds the specified parameter to each component of this point. The unit of the output point will be the units of this point.
    
    Parameters:
    
    that - the parameter to be added to each component of this point. May not be null.
    
    Returns:
    
    this + that.
  - minus
```
public abstract Point minus(GeomPoint that)
```
    Returns the difference between this point and the one specified. The unit of the output point will be the units of this point.
    
    Parameters:
    
    that - the point to be subtracted from this point. May not be null.
    
    Returns:
    
    this - that.
    
    Throws:
    
    DimensionException - if point dimensions are different.
  - minus
```
public abstract Point minus(Parameter<javax.measure.quantity.Length> that)
```
    Subtracts the specified parameter from each component of this point. The unit of the output point will be the units of this point.
    
    Parameters:
    
    that - the parameter to be subtracted from each component of this point. May not be null.
    
    Returns:
    
    this - that.
  - opposite
```
public abstract Point opposite()
```
    Returns the negation of this point (all the values of each dimension negated).
    
    Returns:
    
    -this
  - times
```
public abstract Point times(double k)
```
    Returns the product of this point with the specified coefficient.
    
    Parameters:
    
    k - the coefficient multiplier.
    
    Returns:
    
    this · k
  - times
```
public Point times(Parameter<javax.measure.quantity.Dimensionless> k)
```
    Returns the product of this point with the specified dimensionless Parameter.
    
    Parameters:
    
    k - the dimensionless Parameter multiplier. May not be null.
    
    Returns:
    
    this · k
  - divide
```
public Point divide(double divisor)
```
    Returns this point with each element divided by the specified divisor.
    
    Parameters:
    
    divisor - the divisor.
    
    Returns:
    
    this / divisor.
  - divide
```
public Point divide(Parameter<javax.measure.quantity.Dimensionless> divisor)
```
    Returns this point with each element divided by the specified dimensionless Parameter.
    
    Parameters:
    
    divisor - the dimensionless Parameter divisor. May not be null.
    
    Returns:
    
    this / divisor.
  - distanceSq
```
public Parameter<javax.measure.quantity.Area> distanceSq(GeomPoint that)
```
    Return the square of the Euclidian distance between this point and the one specified. This is slightly faster than calling distance if the squared value is all that you need.
    
    Parameters:
    
    that - The point to determine the distance squared from this point to. May not be null.
    
    Returns:
    
    the distance squared from this point to the one specified.
    
    See Also:
    
    distance(geomss.geom.GeomPoint)
  - distanceSqValue
```
public double distanceSqValue(GeomPoint that)
```
    Return the Euclidian distance squared between this point and the one specified as a double. This is slightly faster than calling distance if the squared value is all that you need.
    
    Parameters:
    
    that - The point to determine the distance squared from this point to. May not be null.
    
    Returns:
    
    the distance squared from this point to the one specified.
    
    See Also:
    
    distanceValue(geomss.geom.GeomPoint)
  - distance
```
public Parameter<javax.measure.quantity.Length> distance(GeomPoint that)
```
    Return the Euclidian distance between this point and the one specified.
    
    Parameters:
    
    that - The point to determine the distance from this point to. May not be null.
    
    Returns:
    
    the distance from this point to the one specified.
    
    See Also:
    
    distanceSq(geomss.geom.GeomPoint)
  - distanceValue
```
public double distanceValue(GeomPoint that)
```
    Return the Euclidian distance between this point and the one specified as a double.
    
    Parameters:
    
    that - The point to determine the distance from this point to. May not be null.
    
    Returns:
    
    the distance from this point to the one specified.
    
    See Also:
    
    distanceSqValue(geomss.geom.GeomPoint)
  - min
```
public Point min(GeomPoint that)
```
    Returns a point consisting of the minimum value in each dimension between this point and the input point. This is used to find points that bound a geometry.
    
    Parameters:
    
    that - The point being compared with this one for minimum values in each dimension. May not be null.
    
    Returns:
    
    A point consisting of the minimum value in each dimension between this point and the input point.
  - max
```
public Point max(GeomPoint that)
```
    Returns a point consisting of the maximum value in each dimension between this point and the input point. This is used to find points that bound a geometry.
    
    Parameters:
    
    that - The point being compared with this one for maximum values in each dimension. May not be null.
    
    Returns:
    
    A point consisting of the maximum value in each dimension between this point and the input point.
  - getBoundsMin
```
public Point getBoundsMin()
```
    Return the coordinate point representing the minimum bounding box corner (e.g.: min X, min Y, min Z).
    
    Specified by:
    
    getBoundsMin in interface GeomElement<GeomPoint>
    
    Returns:
    
    The minimum bounding box coordinate for this geometry element.
  - getBoundsMax
```
public Point getBoundsMax()
```
    Return the coordinate point representing the maximum bounding box corner (e.g.: max X, max Y, max Z).
    
    Specified by:
    
    getBoundsMax in interface GeomElement<GeomPoint>
    
    Returns:
    
    The maximum bounding box coordinate for this geometry element.
  - getLimitPoint
```
public GeomPoint getLimitPoint(int dim,
                               boolean max,
                               double tol)
```
    Returns the most extreme point, either minimum or maximum, in the specified coordinate direction on this geometry element. This implementation always returns this point's coordinate.
    
    Specified by:
    
    getLimitPoint in interface GeomElement<GeomPoint>
    
    Parameters:
    
    dim - An index indicating the dimension to find the min/max point for (0=X, 1=Y, 2=Z, etc).
    
    max - Set to true to return the maximum value, false to return the minimum.
    
    tol - Fractional tolerance to refine the min/max point position to if necessary.
    
    Returns:
    
    The point found on this element that is the min or max in the specified coordinate direction.
    
    See Also:
    
    getBoundsMin(), getBoundsMax()
  - getNumberOfPoints
```
public int getNumberOfPoints()
```
    Return the total number of points in this geometry element. This implementation always returns 1.
    
    Specified by:
    
    getNumberOfPoints in interface PointGeometry<GeomPoint>
    
    Returns:
    
    The total number of points in this geometry element.
  - isValid
```
public boolean isValid()
```
    Return true if this point contains valid and finite numerical components. A value of false will be returned if any of the coordinate values are NaN or Inf.
    
    Specified by:
    
    isValid in interface GeomElement<GeomPoint>
    
    Returns:
    
    true if this geometry element contains valid and finite data.
  - copyToReal
```
public abstract Point copyToReal()
```
    Return a copy of this object with any transformations or subranges removed (applied).
    
    Specified by:
    
    copyToReal in interface GeomElement<GeomPoint>
    
    Returns:
    
    A copy of this object with any transformations removed (applied).
  - copy
```
public abstract GeomPoint copy()
```
    Returns a copy of this GeomPoint instance allocated by the calling thread (possibly on the stack).
    
    Specified by:
    
    copy in interface GeomElement<GeomPoint>
    
    Returns:
    
    an identical and independent copy of this point.
  - toVector3D
```
public Vector3D<javax.measure.quantity.Length> toVector3D()
```
    Returns a Vector3D representation of this point if possible.
    
    Returns:
    
    A Vector3D that is equivalent to this point
    
    Throws:
    
    DimensionException - if this point has any number of dimensions other than 3.
  - toParameterVector
```
public ParameterVector<javax.measure.quantity.Length> toParameterVector()
```
    Returns a ParameterVector representation of this point.
    
    Returns:
    
    A ParameterVector that is equivalent to this point
  - toGeomVector
```
public Vector<javax.measure.quantity.Length> toGeomVector()
```
    Returns a GeomVector representation of this point.
    
    Returns:
    
    A GeomVector that is equivalent to this point
  - toFloat64Vector
```
public abstract Float64Vector toFloat64Vector()
```
    Returns the values stored in this point, stated in the current units, as a Float64Vector.
    
    Returns:
    
    A Float64Vector containing the values stored in this point in the current units.
  - toArray
```
public double[] toArray()
```
    Returns the values stored in this point as a Java array, stated in the current units.
    
    Returns:
    
    A new array with the point values copied into it.
  - toArray
```
public double[] toArray(double[] array)
```
    Returns the values stored in this point, stated in the current units stored in the input Java array.
    
    Parameters:
    
    array - An existing array that has at least as many elements as the physical dimension of this point.
    
    Returns:
    
    A reference to the input array after the point values have been copied over to it.
    
    See Also:
    
    GeomElement.getPhyDimension()
  - getTransformed
```
public GeomPointTrans getTransformed(GTransform transform)
```
    Returns transformed version of this element. The returned object implements GeomTransform and contains this element as a child.
    
    Specified by:
    
    getTransformed in interface Transformable<GeomPoint>
    
    Parameters:
    
    transform - The transformation to apply to this geometry. May not be null.
    
    Returns:
    
    A new triangle that is identical to this one with the specified transformation applied.
    
    Throws:
    
    DimensionException - if this point is not 3D.
  - toText
```
public javolution.text.Text toText()
```
    Returns the text representation of this geometry element that consists of the name followed by the coordinate values. For example:
    {aPoint = {10 ft, -3 ft, 4.56 ft}}
    If there is no name, then the output looks like this:
    {10 ft, -3 ft, 4.56 ft}
    Specified by:
    
    toText in interface GeomElement<GeomPoint>
    
    Overrides:
    
    toText in class AbstractGeomElement<GeomPoint>
    
    Returns:
    
    the text representation of this geometry element.
  - isApproxEqual
```
public boolean isApproxEqual(GeomPoint obj)
```
    Compares this point against the specified point for approximate equality (coordinate values approximately equal to this one to within the numerical roundoff tolerance).
    
    Parameters:
    
    obj - The GeomPoint object to compare with.
    
    Returns:
    
    true if this point is approximately identical to that point; false otherwise.
  - isApproxEqual
```
public boolean isApproxEqual(GeomPoint obj,
                             Parameter<javax.measure.quantity.Length> tol)
```
    Compares this point against the specified point for approximate equality (coordinate values approximately equal to this one to within the numerical roundoff tolerance).
    
    Parameters:
    
    obj - The GeomPoint object to compare with.
    
    tol - The amount use to define approximate equality. If null is passed, exact numerical equality will be required.
    
    Returns:
    
    true if this point is approximately identical to that point; false otherwise.

Class GeomPoint

Field Summary

Fields inherited from class geomss.geom.AbstractGeomElement

Constructor Summary

Method Summary

Methods inherited from class geomss.geom.AbstractGeomElement

Methods inherited from class java.lang.Object

Methods inherited from interface java.lang.Comparable

Methods inherited from interface geomss.geom.GeomElement

Methods inherited from interface geomss.geom.PointGeometry

Field Detail

X

Y

Z

W

Constructor Detail

GeomPoint

Method Detail

immutable

size

getParDimension

get

getValue

getValue

getX

getY

getZ

normSqValue

normSq

normValue

norm

plus

plus

minus

minus

opposite

times

times

divide

divide

distanceSq

distanceSqValue

distance

distanceValue

min

max

getBoundsMin

getBoundsMax

getLimitPoint

getNumberOfPoints

isValid

copyToReal

copy

toVector3D

toParameterVector

toGeomVector

toFloat64Vector

toArray

toArray

getTransformed

toText

isApproxEqual

isApproxEqual