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Object
- PMatrix3D

All Implemented Interfaces:

PMatrix
```
public final class PMatrix3D
extends Object
implements PMatrix
```
4x4 matrix implementation. Matrices are used to describe a transformation; see PMatrix for a general description. This matrix looks like the following when multiplying a vector (x, y, z, w) in mult().
```
 [m00 m01 m02 m03][x]   [m00*x + m01*y + m02*z + m03*w]   [x']
 [m10 m11 m12 m13][y] = [m10*x + m11*y + m12*z + m13*w] = [y']
 [m20 m21 m22 m23][z]   [m20*x + m21*y + m22*z + m23*w]   [z']
 [m30 m31 m32 m33][w]   [m30*x + m31*y + m32*z + m33*w]   [w']
```
(x', y', z', w') is returned. The values in the matrix determine the transformation. They are modified by the various transformation functions. To transform 3D coordinates, w is set to 1, amd w' is made to be 1 by setting the bottom row of the matrix to [0 0 0 1]. The resulting point is then (x', y', z').

Field Summary

Fields
Modifier and Type	Field and Description
`float`	`m00`
`float`	`m01`
`float`	`m02`
`float`	`m03`
`float`	`m10`
`float`	`m11`
`float`	`m12`
`float`	`m13`
`float`	`m20`
`float`	`m21`
`float`	`m22`
`float`	`m23`
`float`	`m30`
`float`	`m31`
`float`	`m32`
`float`	`m33`

Constructor Summary

Constructors
Constructor and Description
`PMatrix3D()`
`PMatrix3D(float m00, float m01, float m02, float m10, float m11, float m12)`
`PMatrix3D(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)`
`PMatrix3D(PMatrix matrix)`

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`void`	`apply(float n00, float n01, float n02, float n10, float n11, float n12)` Multiply this matrix by another.
`void`	`apply(float n00, float n01, float n02, float n03, float n10, float n11, float n12, float n13, float n20, float n21, float n22, float n23, float n30, float n31, float n32, float n33)` Multiply this matrix by another.
`void`	`apply(PMatrix source)` Multiply this matrix by another.
`void`	`apply(PMatrix2D source)` Multiply this matrix by another.
`void`	`apply(PMatrix3D source)` Multiply this matrix by another.
`float`	`determinant()`
`PMatrix3D`	`get()` Returns a copy of this PMatrix.
`float[]`	`get(float[] target)` Copies the matrix contents into a 16 entry float array.
`boolean`	`invert()` Invert this matrix.
`float[]`	`mult(float[] source, float[] target)` Multiply a three or four element vector against this matrix.
`PVector`	`mult(PVector source, PVector target)` Multiply source by this matrix, and return the result.
`float`	`multW(float x, float y, float z)` Returns the fourth element of the result of multiplying the vector (x, y, z) by this matrix.
`float`	`multW(float x, float y, float z, float w)` Returns the w-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
`float`	`multX(float x, float y)` Returns the x-coordinate of the result of multiplying the point (x, y) by this matrix.
`float`	`multX(float x, float y, float z)` Returns the x-coordinate of the result of multiplying the point (x, y, z) by this matrix.
`float`	`multX(float x, float y, float z, float w)` Returns the x-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
`float`	`multY(float x, float y)` Returns the y-coordinate of the result of multiplying the point (x, y) by this matrix.
`float`	`multY(float x, float y, float z)` Returns the y-coordinate of the result of multiplying the point (x, y, z) by this matrix.
`float`	`multY(float x, float y, float z, float w)` Returns the y-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
`float`	`multZ(float x, float y, float z)` Returns the z-coordinate of the result of multiplying the point (x, y, z) by this matrix.
`float`	`multZ(float x, float y, float z, float w)` Returns the z-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
`void`	`preApply(float n00, float n01, float n02, float n10, float n11, float n12)` Apply the 3D equivalent of the 2D matrix supplied to the left of this one.
`void`	`preApply(float n00, float n01, float n02, float n03, float n10, float n11, float n12, float n13, float n20, float n21, float n22, float n23, float n30, float n31, float n32, float n33)` Apply another matrix to the left of this one.
`void`	`preApply(PMatrix source)` Apply another matrix to the left of this one.
`void`	`preApply(PMatrix2D left)` Apply the 3D equivalent of the 2D matrix supplied to the left of this one.
`void`	`preApply(PMatrix3D left)` Apply another matrix to the left of this one.
`void`	`print()`
`void`	`reset()` Make this an identity matrix.
`void`	`rotate(float angle)`
`void`	`rotate(float angle, float v0, float v1, float v2)`
`void`	`rotateX(float angle)`
`void`	`rotateY(float angle)`
`void`	`rotateZ(float angle)`
`void`	`scale(float s)`
`void`	`scale(float sx, float sy)`
`void`	`scale(float x, float y, float z)`
`void`	`set(float[] source)` Set the contents of this matrix to the contents of source.
`void`	`set(float m00, float m01, float m02, float m10, float m11, float m12)` Set the matrix content to this 2D matrix or its 3D equivalent.
`void`	`set(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)` Set the matrix content to the 3D matrix supplied, if this matrix is 3D.
`void`	`set(PMatrix matrix)` Make this matrix become a copy of src.
`void`	`shearX(float angle)`
`void`	`shearY(float angle)`
`void`	`translate(float tx, float ty)`
`void`	`translate(float tx, float ty, float tz)`
`void`	`transpose()` Transpose this matrix; rows become columns and columns rows.

Methods inherited from class Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

m00
```
public float m00
```

m01
```
public float m01
```

m02
```
public float m02
```

m03
```
public float m03
```

m10
```
public float m10
```

m11
```
public float m11
```

m12
```
public float m12
```

m13
```
public float m13
```

m20
```
public float m20
```

m21
```
public float m21
```

m22
```
public float m22
```

m23
```
public float m23
```

m30
```
public float m30
```

m31
```
public float m31
```

m32
```
public float m32
```

m33
```
public float m33
```

Constructor Detail

PMatrix3D
```
public PMatrix3D()
```

PMatrix3D

public PMatrix3D(float m00,
                 float m01,
                 float m02,
                 float m10,
                 float m11,
                 float m12)

PMatrix3D

public PMatrix3D(float m00,
                 float m01,
                 float m02,
                 float m03,
                 float m10,
                 float m11,
                 float m12,
                 float m13,
                 float m20,
                 float m21,
                 float m22,
                 float m23,
                 float m30,
                 float m31,
                 float m32,
                 float m33)

PMatrix3D
```
public PMatrix3D(PMatrix matrix)
```

Method Detail
- reset
```
public void reset()
```
  Description copied from interface: PMatrix
  
  Make this an identity matrix. Multiplying by it will have no effect.
  
  Specified by:
  
  reset in interface PMatrix
- get
```
public PMatrix3D get()
```
  Returns a copy of this PMatrix.
  
  Specified by:
  
  get in interface PMatrix
- get
```
public float[] get(float[] target)
```
  Copies the matrix contents into a 16 entry float array. If target is null (or not the correct size), a new array will be created.
  
  Specified by:
  
  get in interface PMatrix
- set
```
public void set(PMatrix matrix)
```
  Description copied from interface: PMatrix
  
  Make this matrix become a copy of src.
  
  Specified by:
  
  set in interface PMatrix
- set
```
public void set(float[] source)
```
  Description copied from interface: PMatrix
  
  Set the contents of this matrix to the contents of source. Fills the matrix left-to-right, starting in the top row.
  
  Specified by:
  
  set in interface PMatrix
- set
```
public void set(float m00,
                float m01,
                float m02,
                float m10,
                float m11,
                float m12)
```
  Description copied from interface: PMatrix
  
  Set the matrix content to this 2D matrix or its 3D equivalent.
  
  Specified by:
  
  set in interface PMatrix
- set
```
public void set(float m00,
                float m01,
                float m02,
                float m03,
                float m10,
                float m11,
                float m12,
                float m13,
                float m20,
                float m21,
                float m22,
                float m23,
                float m30,
                float m31,
                float m32,
                float m33)
```
  Description copied from interface: PMatrix
  
  Set the matrix content to the 3D matrix supplied, if this matrix is 3D.
  
  Specified by:
  
  set in interface PMatrix
- translate
```
public void translate(float tx,
                      float ty)
```
  Specified by:
  
  translate in interface PMatrix
- translate
```
public void translate(float tx,
                      float ty,
                      float tz)
```
  Specified by:
  
  translate in interface PMatrix
- rotate
```
public void rotate(float angle)
```
  Specified by:
  
  rotate in interface PMatrix
- rotateX
```
public void rotateX(float angle)
```
  Specified by:
  
  rotateX in interface PMatrix
- rotateY
```
public void rotateY(float angle)
```
  Specified by:
  
  rotateY in interface PMatrix
- rotateZ
```
public void rotateZ(float angle)
```
  Specified by:
  
  rotateZ in interface PMatrix
- rotate
```
public void rotate(float angle,
                   float v0,
                   float v1,
                   float v2)
```
  Specified by:
  
  rotate in interface PMatrix
- scale
```
public void scale(float s)
```
  Specified by:
  
  scale in interface PMatrix
- scale
```
public void scale(float sx,
                  float sy)
```
  Specified by:
  
  scale in interface PMatrix
- scale
```
public void scale(float x,
                  float y,
                  float z)
```
  Specified by:
  
  scale in interface PMatrix
- shearX
```
public void shearX(float angle)
```
  Specified by:
  
  shearX in interface PMatrix
- shearY
```
public void shearY(float angle)
```
  Specified by:
  
  shearY in interface PMatrix
- apply
```
public void apply(PMatrix source)
```
  Description copied from interface: PMatrix
  
  Multiply this matrix by another.
  
  Specified by:
  
  apply in interface PMatrix
- apply
```
public void apply(PMatrix2D source)
```
  Description copied from interface: PMatrix
  
  Multiply this matrix by another.
  
  Specified by:
  
  apply in interface PMatrix
- apply
```
public void apply(PMatrix3D source)
```
  Description copied from interface: PMatrix
  
  Multiply this matrix by another.
  
  Specified by:
  
  apply in interface PMatrix
- apply
```
public void apply(float n00,
                  float n01,
                  float n02,
                  float n10,
                  float n11,
                  float n12)
```
  Description copied from interface: PMatrix
  
  Multiply this matrix by another.
  
  Specified by:
  
  apply in interface PMatrix
- apply
```
public void apply(float n00,
                  float n01,
                  float n02,
                  float n03,
                  float n10,
                  float n11,
                  float n12,
                  float n13,
                  float n20,
                  float n21,
                  float n22,
                  float n23,
                  float n30,
                  float n31,
                  float n32,
                  float n33)
```
  Description copied from interface: PMatrix
  
  Multiply this matrix by another.
  
  Specified by:
  
  apply in interface PMatrix
- preApply
```
public void preApply(PMatrix2D left)
```
  Apply the 3D equivalent of the 2D matrix supplied to the left of this one.
  
  Specified by:
  
  preApply in interface PMatrix
- preApply
```
public void preApply(PMatrix source)
```
  Apply another matrix to the left of this one.
  
  Specified by:
  
  preApply in interface PMatrix
- preApply
```
public void preApply(PMatrix3D left)
```
  Apply another matrix to the left of this one.
  
  Specified by:
  
  preApply in interface PMatrix
- preApply
```
public void preApply(float n00,
                     float n01,
                     float n02,
                     float n10,
                     float n11,
                     float n12)
```
  Apply the 3D equivalent of the 2D matrix supplied to the left of this one.
  
  Specified by:
  
  preApply in interface PMatrix
- preApply
```
public void preApply(float n00,
                     float n01,
                     float n02,
                     float n03,
                     float n10,
                     float n11,
                     float n12,
                     float n13,
                     float n20,
                     float n21,
                     float n22,
                     float n23,
                     float n30,
                     float n31,
                     float n32,
                     float n33)
```
  Apply another matrix to the left of this one.
  
  Specified by:
  
  preApply in interface PMatrix
- mult
```
public PVector mult(PVector source,
                    PVector target)
```
  Multiply source by this matrix, and return the result. The result will be stored in target if target is non-null, and target will then be the matrix returned. This improves performance if you reuse target, so it's recommended if you call this many times in draw().
  
  Specified by:
  
  mult in interface PMatrix
- mult
```
public float[] mult(float[] source,
                    float[] target)
```
  Multiply a three or four element vector against this matrix. If out is null or not length 3 or 4, a new float array (length 3) will be returned. Supplying and recycling a target array improves performance, so it's recommended if you call this many times in draw.
  
  Specified by:
  
  mult in interface PMatrix
- multX
```
public float multX(float x,
                   float y)
```
  Returns the x-coordinate of the result of multiplying the point (x, y) by this matrix.
- multY
```
public float multY(float x,
                   float y)
```
  Returns the y-coordinate of the result of multiplying the point (x, y) by this matrix.
- multX
```
public float multX(float x,
                   float y,
                   float z)
```
  Returns the x-coordinate of the result of multiplying the point (x, y, z) by this matrix.
- multY
```
public float multY(float x,
                   float y,
                   float z)
```
  Returns the y-coordinate of the result of multiplying the point (x, y, z) by this matrix.
- multZ
```
public float multZ(float x,
                   float y,
                   float z)
```
  Returns the z-coordinate of the result of multiplying the point (x, y, z) by this matrix.
- multW
```
public float multW(float x,
                   float y,
                   float z)
```
  Returns the fourth element of the result of multiplying the vector (x, y, z) by this matrix. (Acts as if w = 1 was supplied.)
- multX
```
public float multX(float x,
                   float y,
                   float z,
                   float w)
```
  Returns the x-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
- multY
```
public float multY(float x,
                   float y,
                   float z,
                   float w)
```
  Returns the y-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
- multZ
```
public float multZ(float x,
                   float y,
                   float z,
                   float w)
```
  Returns the z-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
- multW
```
public float multW(float x,
                   float y,
                   float z,
                   float w)
```
  Returns the w-coordinate of the result of multiplying the vector (x, y, z, w) by this matrix.
- transpose
```
public void transpose()
```
  Transpose this matrix; rows become columns and columns rows.
  
  Specified by:
  
  transpose in interface PMatrix
- invert
```
public boolean invert()
```
  Invert this matrix. Will not necessarily succeed, because some matrices map more than one point to the same image point, and so are irreversible.
  
  Specified by:
  
  invert in interface PMatrix
  
  Returns:
  
  true if successful
- determinant
```
public float determinant()
```
  Specified by:
  
  determinant in interface PMatrix
  
  Returns:
  
  the determinant of the matrix
- print
```
public void print()
```

Class PMatrix3D

Field Summary

Constructor Summary

Method Summary

Methods inherited from class Object

Field Detail

m00

m01

m02

m03

m10

m11

m12

m13

m20

m21

m22

m23

m30

m31

m32

m33

Constructor Detail

PMatrix3D

PMatrix3D

PMatrix3D

PMatrix3D

Method Detail

reset

get

get

set

set

set

set

translate

translate

rotate

rotateX

rotateY

rotateZ

rotate

scale

scale

scale

shearX

shearY

apply

apply

apply

apply

apply

preApply

preApply

preApply

preApply

preApply

mult

mult

multX

multY

multX

multY

multZ

multW

multX

multY

multZ

multW

transpose

invert

determinant

print