java.lang.Object
- org.sunflow.math.Matrix4

```
public final class Matrix4
extends java.lang.Object
```
This class is used to represent general affine transformations in 3D. The bottom row of the matrix is assumed to be [0,0,0,1]. Note that the rotation matrices assume a right-handed convention.

Field Summary

Fields
Modifier and Type Field Description

static Matrix4 IDENTITY

static Matrix4 ZERO

Constructor Summary

Constructors
Constructor	Description
`Matrix4(float[] m, boolean rowMajor)`	Initialize a matrix from the specified 16 element array.
`Matrix4(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23)`	Creates a matrix with the specified elements

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`float[]`	`asColMajor()`
`float[]`	`asRowMajor()`
`static Matrix4`	`blend(Matrix4 m0, Matrix4 m1, float t)`
`float`	`determinant()`	Compute the matrix determinant.
`boolean`	`equals(Matrix4 m)`
`static Matrix4`	`fromBasis(OrthoNormalBasis basis)`	Creates a rotation matrix from an OrthonormalBasis.
`Matrix4`	`inverse()`	Compute the inverse of this matrix and return it as a new object.
`boolean`	`isIndentity()`
`static Matrix4`	`lookAt(Point3 eye, Point3 target, Vector3 up)`	Creates a camera positioning matrix from the given eye and target points and up vector.
`Matrix4`	`multiply(Matrix4 m)`	Computes this*m and return the result as a new Matrix4
`static Matrix4`	`rotate(float x, float y, float z, float theta)`	Creates a rotation matrix about the specified axis.
`static Matrix4`	`rotateX(float theta)`	Creates a rotation matrix about the X axis.
`static Matrix4`	`rotateY(float theta)`	Creates a rotation matrix about the Y axis.
`static Matrix4`	`rotateZ(float theta)`	Creates a rotation matrix about the Z axis.
`static Matrix4`	`scale(float s)`	Create a uniform scaling matrix.
`static Matrix4`	`scale(float sx, float sy, float sz)`	Creates a non-uniform scaling matrix.
`BoundingBox`	`transform(BoundingBox b)`	Transforms each corner of the specified axis-aligned bounding box and returns a new bounding box which incloses the transformed corners.
`Point3`	`transformP(Point3 p)`	Computes this*p and returns the result as a new Point3 object.
`float`	`transformPX(float x, float y, float z)`	Computes the x component of this*(x,y,z,1).
`float`	`transformPY(float x, float y, float z)`	Computes the y component of this*(x,y,z,1).
`float`	`transformPZ(float x, float y, float z)`	Computes the z component of this*(x,y,z,1).
`Vector3`	`transformTransposeV(Vector3 v)`	Computes (this^T)*v and returns the result as a new Vector3 object.
`float`	`transformTransposeVX(float x, float y, float z)`	Computes the x component of (this^T)*(x,y,z,0).
`float`	`transformTransposeVY(float x, float y, float z)`	Computes the y component of (this^T)*(x,y,z,0).
`float`	`transformTransposeVZ(float x, float y, float z)`	Computes the z component of (this^T)*(x,y,z,0).
`Vector3`	`transformV(Vector3 v)`	Computes this*v and returns the result as a new Vector3 object.
`float`	`transformVX(float x, float y, float z)`	Computes the x component of this*(x,y,z,0).
`float`	`transformVY(float x, float y, float z)`	Computes the y component of this*(x,y,z,0).
`float`	`transformVZ(float x, float y, float z)`	Computes the z component of this*(x,y,z,0).
`static Matrix4`	`translation(float x, float y, float z)`	Create a translation matrix for the specified vector.

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

- Field Detail
  - ZERO
```
public static final Matrix4 ZERO
```
  - IDENTITY
```
public static final Matrix4 IDENTITY
```
- Constructor Detail
  - Matrix4
```
public Matrix4(float m00,
               float m01,
               float m02,
               float m03,
               float m10,
               float m11,
               float m12,
               float m13,
               float m20,
               float m21,
               float m22,
               float m23)
```
    Creates a matrix with the specified elements
    
    Parameters:
    
    m00 - value at row 0, col 0
    
    m01 - value at row 0, col 1
    
    m02 - value at row 0, col 2
    
    m03 - value at row 0, col 3
    
    m10 - value at row 1, col 0
    
    m11 - value at row 1, col 1
    
    m12 - value at row 1, col 2
    
    m13 - value at row 1, col 3
    
    m20 - value at row 2, col 0
    
    m21 - value at row 2, col 1
    
    m22 - value at row 2, col 2
    
    m23 - value at row 2, col 3
  - Matrix4
```
public Matrix4(float[] m,
               boolean rowMajor)
```
    Initialize a matrix from the specified 16 element array. The matrix may be given in row or column major form.
    
    Parameters:
    
    m - a 16 element array in row or column major form
    
    rowMajor - true if the array is in row major form, falseif it is in column major form
- Method Detail
  - isIndentity
```
public final boolean isIndentity()
```
  - equals
```
public final boolean equals(Matrix4 m)
```
  - asRowMajor
```
public final float[] asRowMajor()
```
  - asColMajor
```
public final float[] asColMajor()
```
  - determinant
```
public final float determinant()
```
    Compute the matrix determinant.
    
    Returns:
    
    determinant of this matrix
  - inverse
```
public final Matrix4 inverse()
```
    Compute the inverse of this matrix and return it as a new object. If the matrix is not invertible, null is returned.
    
    Returns:
    
    the inverse of this matrix, or null if not invertible
  - multiply
```
public final Matrix4 multiply(Matrix4 m)
```
    Computes this*m and return the result as a new Matrix4
    
    Parameters:
    
    m - right hand side of the multiplication
    
    Returns:
    
    a new Matrix4 object equal to this*m
  - transform
```
public final BoundingBox transform(BoundingBox b)
```
    Transforms each corner of the specified axis-aligned bounding box and returns a new bounding box which incloses the transformed corners.
    
    Parameters:
    
    b - original bounding box
    
    Returns:
    
    a new BoundingBox object which encloses the transform version of b
  - transformV
```
public final Vector3 transformV(Vector3 v)
```
    Computes this*v and returns the result as a new Vector3 object. This method assumes the bottom row of the matrix is [0,0,0,1].
    
    Parameters:
    
    v - vector to multiply
    
    Returns:
    
    a new Vector3 object equal to this*v
  - transformTransposeV
```
public final Vector3 transformTransposeV(Vector3 v)
```
    Computes (this^T)*v and returns the result as a new Vector3 object. This method assumes the bottom row of the matrix is [0,0,0,1].
    
    Parameters:
    
    v - vector to multiply
    
    Returns:
    
    a new Vector3 object equal to (this^T)*v
  - transformP
```
public final Point3 transformP(Point3 p)
```
    Computes this*p and returns the result as a new Point3 object. This method assumes the bottom row of the matrix is [0,0,0,1].
    
    Parameters:
    
    p - point to multiply
    
    Returns:
    
    a new Point3 object equal to this*v
  - transformVX
```
public final float transformVX(float x,
                               float y,
                               float z)
```
    Computes the x component of this*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    x coordinate transformation result
  - transformVY
```
public final float transformVY(float x,
                               float y,
                               float z)
```
    Computes the y component of this*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    y coordinate transformation result
  - transformVZ
```
public final float transformVZ(float x,
                               float y,
                               float z)
```
    Computes the z component of this*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    z coordinate transformation result
  - transformTransposeVX
```
public final float transformTransposeVX(float x,
                                        float y,
                                        float z)
```
    Computes the x component of (this^T)*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    x coordinate transformation result
  - transformTransposeVY
```
public final float transformTransposeVY(float x,
                                        float y,
                                        float z)
```
    Computes the y component of (this^T)*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    y coordinate transformation result
  - transformTransposeVZ
```
public final float transformTransposeVZ(float x,
                                        float y,
                                        float z)
```
    Computes the z component of (this^T)*(x,y,z,0).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    zcoordinate transformation result
  - transformPX
```
public final float transformPX(float x,
                               float y,
                               float z)
```
    Computes the x component of this*(x,y,z,1).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    x coordinate transformation result
  - transformPY
```
public final float transformPY(float x,
                               float y,
                               float z)
```
    Computes the y component of this*(x,y,z,1).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    y coordinate transformation result
  - transformPZ
```
public final float transformPZ(float x,
                               float y,
                               float z)
```
    Computes the z component of this*(x,y,z,1).
    
    Parameters:
    
    x - x coordinate of the vector to multiply
    
    y - y coordinate of the vector to multiply
    
    z - z coordinate of the vector to multiply
    
    Returns:
    
    z coordinate transformation result
  - translation
```
public static final Matrix4 translation(float x,
                                        float y,
                                        float z)
```
    Create a translation matrix for the specified vector.
    
    Parameters:
    
    x - x component of translation
    
    y - y component of translation
    
    z - z component of translation
    
    Returns:
    
    a new Matrix4 object representing the translation
  - rotateX
```
public static final Matrix4 rotateX(float theta)
```
    Creates a rotation matrix about the X axis.
    
    Parameters:
    
    theta - angle to rotate about the X axis in radians
    
    Returns:
    
    a new Matrix4 object representing the rotation
  - rotateY
```
public static final Matrix4 rotateY(float theta)
```
    Creates a rotation matrix about the Y axis.
    
    Parameters:
    
    theta - angle to rotate about the Y axis in radians
    
    Returns:
    
    a new Matrix4 object representing the rotation
  - rotateZ
```
public static final Matrix4 rotateZ(float theta)
```
    Creates a rotation matrix about the Z axis.
    
    Parameters:
    
    theta - angle to rotate about the Z axis in radians
    
    Returns:
    
    a new Matrix4 object representing the rotation
  - rotate
```
public static final Matrix4 rotate(float x,
                                   float y,
                                   float z,
                                   float theta)
```
    Creates a rotation matrix about the specified axis. The axis vector need not be normalized.
    
    Parameters:
    
    x - x component of the axis vector
    
    y - y component of the axis vector
    
    z - z component of the axis vector
    
    theta - angle to rotate about the axis in radians
    
    Returns:
    
    a new Matrix4 object representing the rotation
  - scale
```
public static final Matrix4 scale(float s)
```
    Create a uniform scaling matrix.
    
    Parameters:
    
    s - scale factor for all three axes
    
    Returns:
    
    a new Matrix4 object representing the uniform scale
  - scale
```
public static final Matrix4 scale(float sx,
                                  float sy,
                                  float sz)
```
    Creates a non-uniform scaling matrix.
    
    Parameters:
    
    sx - scale factor in the x dimension
    
    sy - scale factor in the y dimension
    
    sz - scale factor in the z dimension
    
    Returns:
    
    a new Matrix4 object representing the non-uniform scale
  - fromBasis
```
public static final Matrix4 fromBasis(OrthoNormalBasis basis)
```
    Creates a rotation matrix from an OrthonormalBasis.
    
    Parameters:
    
    basis -
  - lookAt
```
public static final Matrix4 lookAt(Point3 eye,
                                   Point3 target,
                                   Vector3 up)
```
    Creates a camera positioning matrix from the given eye and target points and up vector.
    
    Parameters:
    
    eye - location of the eye
    
    target - location of the target
    
    up - vector pointing upwards
    
    Returns:
  - blend
```
public static final Matrix4 blend(Matrix4 m0,
                                  Matrix4 m1,
                                  float t)
```

Class Matrix4

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

ZERO

IDENTITY

Constructor Detail

Matrix4

Matrix4

Method Detail

isIndentity

equals

asRowMajor

asColMajor

determinant

inverse

multiply

transform

transformV

transformTransposeV

transformP

transformVX

transformVY

transformVZ

transformTransposeVX

transformTransposeVY

transformTransposeVZ

transformPX

transformPY

transformPZ

translation

rotateX

rotateY

rotateZ

rotate

scale

scale

fromBasis

lookAt

blend