Package org.joml

Class Matrix4f

java.lang.Object

org.joml.Matrix4f

All Implemented Interfaces:

Externalizable, Serializable, Cloneable, Matrix4fc

Direct Known Subclasses:

Matrix4fStack

public class Matrix4f
extends Object
implements Externalizable, Cloneable, Matrix4fc

Contains the definition of a 4x4 matrix of floats, and associated functions to transform it. The matrix is column-major to match OpenGL's interpretation, and it looks like this:

m00 m10 m20 m30
m01 m11 m21 m31
m02 m12 m22 m32
m03 m13 m23 m33

Author:

Richard Greenlees, Kai Burjack

See Also:

• Serialized Form

Field Summary

Fields inherited from interface org.joml.Matrix4fc

CORNER_NXNYNZ, CORNER_NXNYPZ, CORNER_NXPYNZ, CORNER_NXPYPZ, CORNER_PXNYNZ, CORNER_PXNYPZ, CORNER_PXPYNZ, CORNER_PXPYPZ, PLANE_NX, PLANE_NY, PLANE_NZ, PLANE_PX, PLANE_PY, PLANE_PZ, PROPERTY_AFFINE, PROPERTY_IDENTITY, PROPERTY_ORTHONORMAL, PROPERTY_PERSPECTIVE, PROPERTY_TRANSLATION

Constructor Summary

Constructors

Constructor	Description
Matrix4f()	Create a new Matrix4f and set it to identity.
Matrix4f(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)	Create a new 4x4 matrix using the supplied float values.
Matrix4f(FloatBuffer buffer)	Create a new Matrix4f by reading its 16 float components from the given FloatBuffer at the buffer's current position.
Matrix4f(Matrix3fc mat)	Create a new Matrix4f by setting its uppper left 3x3 submatrix to the values of the given Matrix3fc and the rest to identity.
Matrix4f(Matrix4dc mat)	Create a new Matrix4f and make it a copy of the given matrix.
Matrix4f(Matrix4fc mat)	Create a new Matrix4f and make it a copy of the given matrix.
Matrix4f(Matrix4x3fc mat)	Create a new Matrix4f and set its upper 4x3 submatrix to the given matrix mat and all other elements to identity.
Matrix4f(Vector4fc col0, Vector4fc col1, Vector4fc col2, Vector4fc col3)	Create a new Matrix4f and initialize its four columns using the supplied vectors.

Method Summary

Modifier and Type	Method	Description
Matrix4f	add(Matrix4fc other)	Component-wise add this and other.
Matrix4f	add(Matrix4fc other, Matrix4f dest)	Component-wise add this and other and store the result in dest.
Matrix4f	add4x3(Matrix4fc other)	Component-wise add the upper 4x3 submatrices of this and other.
Matrix4f	add4x3(Matrix4fc other, Matrix4f dest)	Component-wise add the upper 4x3 submatrices of this and other and store the result in dest.
Matrix4f	affineSpan(Vector3f corner, Vector3f xDir, Vector3f yDir, Vector3f zDir)	Compute the extents of the coordinate system before this affine transformation was applied and store the resulting corner coordinates in corner and the span vectors in xDir, yDir and zDir.
Matrix4f	arcball(float radius, float centerX, float centerY, float centerZ, float angleX, float angleY)	Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles.
Matrix4f	arcball(float radius, float centerX, float centerY, float centerZ, float angleX, float angleY, Matrix4f dest)	Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles, and store the result in dest.
Matrix4f	arcball(float radius, Vector3fc center, float angleX, float angleY)	Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.
Matrix4f	arcball(float radius, Vector3fc center, float angleX, float angleY, Matrix4f dest)	Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles, and store the result in dest.
Matrix4f	assume(int properties)	Assume the given properties about this matrix.
Matrix4f	billboardCylindrical(Vector3fc objPos, Vector3fc targetPos, Vector3fc up)	Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos while constraining a cylindrical rotation around the given up vector.
Matrix4f	billboardSpherical(Vector3fc objPos, Vector3fc targetPos)	Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.
Matrix4f	billboardSpherical(Vector3fc objPos, Vector3fc targetPos, Vector3fc up)	Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.
Object	clone()
Matrix4f	cofactor3x3()	Compute the cofactor matrix of the upper left 3x3 submatrix of this.
Matrix3f	cofactor3x3(Matrix3f dest)	Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest.
Matrix4f	cofactor3x3(Matrix4f dest)	Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest.
float	determinant()	Return the determinant of this matrix.
float	determinant3x3()	Return the determinant of the upper left 3x3 submatrix of this matrix.
float	determinantAffine()	Return the determinant of this matrix by assuming that it represents an affine transformation and thus its last row is equal to (0, 0, 0, 1).
Matrix4f	determineProperties()	Compute and set the matrix properties returned by properties() based on the current matrix element values.
boolean	equals(Object obj)
boolean	equals(Matrix4fc m, float delta)	Compare the matrix elements of this matrix with the given matrix using the given delta and return whether all of them are equal within a maximum difference of delta.
Matrix4f	fma4x3(Matrix4fc other, float otherFactor)	Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor and adding that result to this.
Matrix4f	fma4x3(Matrix4fc other, float otherFactor, Matrix4f dest)	Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor, adding that to this and storing the final result in dest.
Matrix4f	frustum(float left, float right, float bottom, float top, float zNear, float zFar)	Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	frustum(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	frustum(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	frustum(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)	Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	frustumAabb(Vector3f min, Vector3f max)	Compute the axis-aligned bounding box of the frustum described by this matrix and store the minimum corner coordinates in the given min and the maximum corner coordinates in the given max vector.
Vector3f	frustumCorner(int corner, Vector3f point)	Compute the corner coordinates of the frustum defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given point.
Matrix4f	frustumLH(float left, float right, float bottom, float top, float zNear, float zFar)	Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	frustumLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	frustumLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	frustumLH(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)	Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Vector4f	frustumPlane(int plane, Vector4f dest)	Calculate a frustum plane of this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given planeEquation.
Vector3f	frustumRayDir(float x, float y, Vector3f dir)	Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.
float[]	get(float[] arr)	Store this matrix into the supplied float array in column-major order.
float[]	get(float[] arr, int offset)	Store this matrix into the supplied float array in column-major order at the given offset.
float	get(int column, int row)	Get the matrix element value at the given column and row.
com.google.gwt.typedarrays.shared.Float32Array	get(int index, com.google.gwt.typedarrays.shared.Float32Array buffer)	Store this matrix in column-major order into the supplied Float32Array at the given index.
ByteBuffer	get(int index, ByteBuffer buffer)	Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get(int index, FloatBuffer buffer)	Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
com.google.gwt.typedarrays.shared.Float32Array	get(com.google.gwt.typedarrays.shared.Float32Array buffer)	Store this matrix in column-major order into the supplied Float32Array.
ByteBuffer	get(ByteBuffer buffer)	Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	get(FloatBuffer buffer)	Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
Matrix4d	get(Matrix4d dest)	Get the current values of this matrix and store them into dest.
Matrix4f	get(Matrix4f dest)	Get the current values of this matrix and store them into dest.
Matrix3d	get3x3(Matrix3d dest)	Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.
Matrix3f	get3x3(Matrix3f dest)	Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.
ByteBuffer	get3x4(int index, ByteBuffer buffer)	Store the left 3x4 submatrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get3x4(int index, FloatBuffer buffer)	Store the left 3x4 submatrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	get3x4(ByteBuffer buffer)	Store the left 3x4 submatrix in column-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	get3x4(FloatBuffer buffer)	Store the left 3x4 submatrix in column-major order into the supplied FloatBuffer at the current buffer position.
ByteBuffer	get4x3(int index, ByteBuffer buffer)	Store the upper 4x3 submatrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get4x3(int index, FloatBuffer buffer)	Store the upper 4x3 submatrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	get4x3(ByteBuffer buffer)	Store the upper 4x3 submatrix in column-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	get4x3(FloatBuffer buffer)	Store the upper 4x3 submatrix in column-major order into the supplied FloatBuffer at the current buffer position.
Matrix4x3f	get4x3(Matrix4x3f dest)	Get the current values of the upper 4x3 submatrix of this matrix and store them into dest.
ByteBuffer	get4x3Transposed(int index, ByteBuffer buffer)	Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get4x3Transposed(int index, FloatBuffer buffer)	Store the upper 4x3 submatrix of this matrix in row-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	get4x3Transposed(ByteBuffer buffer)	Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	get4x3Transposed(FloatBuffer buffer)	Store the upper 4x3 submatrix of this matrix in row-major order into the supplied FloatBuffer at the current buffer position.
Vector3f	getColumn(int column, Vector3f dest)	Get the first three components of the column at the given column index, starting with 0.
Vector4f	getColumn(int column, Vector4f dest)	Get the column at the given column index, starting with 0.
Vector3f	getEulerAnglesXYZ(Vector3f dest)	Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of this and store the extracted Euler angles in dest.
Vector3f	getEulerAnglesZYX(Vector3f dest)	Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of this and store the extracted Euler angles in dest.
Quaterniond	getNormalizedRotation(Quaterniond dest)	Get the current values of this matrix and store the represented rotation into the given Quaterniond.
Quaternionf	getNormalizedRotation(Quaternionf dest)	Get the current values of this matrix and store the represented rotation into the given Quaternionf.
AxisAngle4d	getRotation(AxisAngle4d dest)	Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4d.
AxisAngle4f	getRotation(AxisAngle4f dest)	Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4f.
Vector3f	getRow(int row, Vector3f dest)	Get the first three components of the row at the given row index, starting with 0.
Vector4f	getRow(int row, Vector4f dest)	Get the row at the given row index, starting with 0.
float	getRowColumn(int row, int column)	Get the matrix element value at the given row and column.
Vector3f	getScale(Vector3f dest)	Get the scaling factors of this matrix for the three base axes.
Matrix4fc	getToAddress(long address)	Store this matrix in column-major order at the given off-heap address.
Vector3f	getTranslation(Vector3f dest)	Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.
ByteBuffer	getTransposed(int index, ByteBuffer buffer)	Store the transpose of this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	getTransposed(int index, FloatBuffer buffer)	Store the transpose of this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	getTransposed(ByteBuffer buffer)	Store the transpose of this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	getTransposed(FloatBuffer buffer)	Store the transpose of this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
Quaterniond	getUnnormalizedRotation(Quaterniond dest)	Get the current values of this matrix and store the represented rotation into the given Quaterniond.
Quaternionf	getUnnormalizedRotation(Quaternionf dest)	Get the current values of this matrix and store the represented rotation into the given Quaternionf.
int	hashCode()
Matrix4f	identity()	Reset this matrix to the identity.
Matrix4f	invert()	Invert this matrix.
Matrix4f	invert(Matrix4f dest)	Invert this matrix and write the result into dest.
Matrix4f	invertAffine()	Invert this matrix by assuming that it is an affine transformation (i.e.
Matrix4f	invertAffine(Matrix4f dest)	Invert this matrix by assuming that it is an affine transformation (i.e.
Matrix4f	invertFrustum()	If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods or via setFrustum(), then this method builds the inverse of this.
Matrix4f	invertFrustum(Matrix4f dest)	If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods or via setFrustum(), then this method builds the inverse of this and stores it into the given dest.
Matrix4f	invertOrtho()	Invert this orthographic projection matrix.
Matrix4f	invertOrtho(Matrix4f dest)	Invert this orthographic projection matrix and store the result into the given dest.
Matrix4f	invertPerspective()	If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this.
Matrix4f	invertPerspective(Matrix4f dest)	If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this and stores it into the given dest.
Matrix4f	invertPerspectiveView(Matrix4fc view, Matrix4f dest)	If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation and the given view matrix is affine and has unit scaling (for example by being obtained via lookAt()), then this method builds the inverse of this * view and stores it into the given dest.
Matrix4f	invertPerspectiveView(Matrix4x3fc view, Matrix4f dest)	If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation and the given view matrix has unit scaling, then this method builds the inverse of this * view and stores it into the given dest.
boolean	isAffine()	Determine whether this matrix describes an affine transformation.
boolean	isFinite()	Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.
Matrix4f	lerp(Matrix4fc other, float t)	Linearly interpolate this and other using the given interpolation factor t and store the result in this.
Matrix4f	lerp(Matrix4fc other, float t, Matrix4f dest)	Linearly interpolate this and other using the given interpolation factor t and store the result in dest.
Matrix4f	lookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)	Apply a rotation transformation to this matrix to make -z point along dir.
Matrix4f	lookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4f	lookAlong(Vector3fc dir, Vector3fc up)	Apply a rotation transformation to this matrix to make -z point along dir.
Matrix4f	lookAlong(Vector3fc dir, Vector3fc up, Matrix4f dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4f	lookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4f	lookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
Matrix4f	lookAt(Vector3fc eye, Vector3fc center, Vector3fc up)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4f	lookAt(Vector3fc eye, Vector3fc center, Vector3fc up, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
Matrix4f	lookAtLH(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4f	lookAtLH(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
Matrix4f	lookAtLH(Vector3fc eye, Vector3fc center, Vector3fc up)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4f	lookAtLH(Vector3fc eye, Vector3fc center, Vector3fc up, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
Matrix4f	lookAtPerspective(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
Matrix4f	lookAtPerspectiveLH(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
float	m00()	Return the value of the matrix element at column 0 and row 0.
Matrix4f	m00(float m00)	Set the value of the matrix element at column 0 and row 0.
float	m01()	Return the value of the matrix element at column 0 and row 1.
Matrix4f	m01(float m01)	Set the value of the matrix element at column 0 and row 1.
float	m02()	Return the value of the matrix element at column 0 and row 2.
Matrix4f	m02(float m02)	Set the value of the matrix element at column 0 and row 2.
float	m03()	Return the value of the matrix element at column 0 and row 3.
Matrix4f	m03(float m03)	Set the value of the matrix element at column 0 and row 3.
float	m10()	Return the value of the matrix element at column 1 and row 0.
Matrix4f	m10(float m10)	Set the value of the matrix element at column 1 and row 0.
float	m11()	Return the value of the matrix element at column 1 and row 1.
Matrix4f	m11(float m11)	Set the value of the matrix element at column 1 and row 1.
float	m12()	Return the value of the matrix element at column 1 and row 2.
Matrix4f	m12(float m12)	Set the value of the matrix element at column 1 and row 2.
float	m13()	Return the value of the matrix element at column 1 and row 3.
Matrix4f	m13(float m13)	Set the value of the matrix element at column 1 and row 3.
float	m20()	Return the value of the matrix element at column 2 and row 0.
Matrix4f	m20(float m20)	Set the value of the matrix element at column 2 and row 0.
float	m21()	Return the value of the matrix element at column 2 and row 1.
Matrix4f	m21(float m21)	Set the value of the matrix element at column 2 and row 1.
float	m22()	Return the value of the matrix element at column 2 and row 2.
Matrix4f	m22(float m22)	Set the value of the matrix element at column 2 and row 2.
float	m23()	Return the value of the matrix element at column 2 and row 3.
Matrix4f	m23(float m23)	Set the value of the matrix element at column 2 and row 3.
float	m30()	Return the value of the matrix element at column 3 and row 0.
Matrix4f	m30(float m30)	Set the value of the matrix element at column 3 and row 0.
float	m31()	Return the value of the matrix element at column 3 and row 1.
Matrix4f	m31(float m31)	Set the value of the matrix element at column 3 and row 1.
float	m32()	Return the value of the matrix element at column 3 and row 2.
Matrix4f	m32(float m32)	Set the value of the matrix element at column 3 and row 2.
float	m33()	Return the value of the matrix element at column 3 and row 3.
Matrix4f	m33(float m33)	Set the value of the matrix element at column 3 and row 3.
Matrix4f	mapnXnYnZ()	Multiply this by the matrix
Matrix4f	mapnXnYnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXnYZ()	Multiply this by the matrix
Matrix4f	mapnXnYZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXnZnY()	Multiply this by the matrix
Matrix4f	mapnXnZnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXnZY()	Multiply this by the matrix
Matrix4f	mapnXnZY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXYnZ()	Multiply this by the matrix
Matrix4f	mapnXYnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXZnY()	Multiply this by the matrix
Matrix4f	mapnXZnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnXZY()	Multiply this by the matrix
Matrix4f	mapnXZY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYnXnZ()	Multiply this by the matrix
Matrix4f	mapnYnXnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYnXZ()	Multiply this by the matrix
Matrix4f	mapnYnXZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYnZnX()	Multiply this by the matrix
Matrix4f	mapnYnZnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYnZX()	Multiply this by the matrix
Matrix4f	mapnYnZX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYXnZ()	Multiply this by the matrix
Matrix4f	mapnYXnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYXZ()	Multiply this by the matrix
Matrix4f	mapnYXZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYZnX()	Multiply this by the matrix
Matrix4f	mapnYZnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnYZX()	Multiply this by the matrix
Matrix4f	mapnYZX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZnXnY()	Multiply this by the matrix
Matrix4f	mapnZnXnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZnXY()	Multiply this by the matrix
Matrix4f	mapnZnXY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZnYnX()	Multiply this by the matrix
Matrix4f	mapnZnYnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZnYX()	Multiply this by the matrix
Matrix4f	mapnZnYX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZXnY()	Multiply this by the matrix
Matrix4f	mapnZXnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZXY()	Multiply this by the matrix
Matrix4f	mapnZXY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZYnX()	Multiply this by the matrix
Matrix4f	mapnZYnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapnZYX()	Multiply this by the matrix
Matrix4f	mapnZYX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapXnYnZ()	Multiply this by the matrix
Matrix4f	mapXnYnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapXnZnY()	Multiply this by the matrix
Matrix4f	mapXnZnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapXnZY()	Multiply this by the matrix
Matrix4f	mapXnZY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapXZnY()	Multiply this by the matrix
Matrix4f	mapXZnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapXZY()	Multiply this by the matrix
Matrix4f	mapXZY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYnXnZ()	Multiply this by the matrix
Matrix4f	mapYnXnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYnXZ()	Multiply this by the matrix
Matrix4f	mapYnXZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYnZnX()	Multiply this by the matrix
Matrix4f	mapYnZnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYnZX()	Multiply this by the matrix
Matrix4f	mapYnZX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYXnZ()	Multiply this by the matrix
Matrix4f	mapYXnZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYXZ()	Multiply this by the matrix
Matrix4f	mapYXZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYZnX()	Multiply this by the matrix
Matrix4f	mapYZnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapYZX()	Multiply this by the matrix
Matrix4f	mapYZX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZnXnY()	Multiply this by the matrix
Matrix4f	mapZnXnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZnXY()	Multiply this by the matrix
Matrix4f	mapZnXY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZnYnX()	Multiply this by the matrix
Matrix4f	mapZnYnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZnYX()	Multiply this by the matrix
Matrix4f	mapZnYX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZXnY()	Multiply this by the matrix
Matrix4f	mapZXnY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZXY()	Multiply this by the matrix
Matrix4f	mapZXY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZYnX()	Multiply this by the matrix
Matrix4f	mapZYnX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mapZYX()	Multiply this by the matrix
Matrix4f	mapZYX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	mul(float r00, float r01, float r02, float r03, float r10, float r11, float r12, float r13, float r20, float r21, float r22, float r23, float r30, float r31, float r32, float r33)	Multiply this matrix by the matrix with the supplied elements.
Matrix4f	mul(float r00, float r01, float r02, float r03, float r10, float r11, float r12, float r13, float r20, float r21, float r22, float r23, float r30, float r31, float r32, float r33, Matrix4f dest)	Multiply this matrix by the matrix with the supplied elements and store the result in dest.
Matrix4f	mul(Matrix3x2fc right)	Multiply this matrix by the supplied right matrix and store the result in this.
Matrix4f	mul(Matrix3x2fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4f	mul(Matrix4fc right)	Multiply this matrix by the supplied right matrix and store the result in this.
Matrix4f	mul(Matrix4fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4f	mul(Matrix4x3fc right)	Multiply this matrix by the supplied right matrix and store the result in this.
Matrix4f	mul(Matrix4x3fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4f	mul0(Matrix4fc right)	Multiply this matrix by the supplied right matrix.
Matrix4f	mul0(Matrix4fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4f	mul3x3(float r00, float r01, float r02, float r10, float r11, float r12, float r20, float r21, float r22)	Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity.
Matrix4f	mul3x3(float r00, float r01, float r02, float r10, float r11, float r12, float r20, float r21, float r22, Matrix4f dest)	Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity, and store the result in dest.
Matrix4f	mul4x3ComponentWise(Matrix4fc other)	Component-wise multiply the upper 4x3 submatrices of this by other.
Matrix4f	mul4x3ComponentWise(Matrix4fc other, Matrix4f dest)	Component-wise multiply the upper 4x3 submatrices of this by other and store the result in dest.
Matrix4f	mulAffine(Matrix4fc right)	Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, and store the result in this.
Matrix4f	mulAffine(Matrix4fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, and store the result in dest.
Matrix4f	mulAffineR(Matrix4fc right)	Multiply this matrix by the supplied right matrix, which is assumed to be affine, and store the result in this.
Matrix4f	mulAffineR(Matrix4fc right, Matrix4f dest)	Multiply this matrix by the supplied right matrix, which is assumed to be affine, and store the result in dest.
Matrix4f	mulComponentWise(Matrix4fc other)	Component-wise multiply this by other.
Matrix4f	mulComponentWise(Matrix4fc other, Matrix4f dest)	Component-wise multiply this by other and store the result in dest.
Matrix4f	mulLocal(Matrix4fc left)	Pre-multiply this matrix by the supplied left matrix and store the result in this.
Matrix4f	mulLocal(Matrix4fc left, Matrix4f dest)	Pre-multiply this matrix by the supplied left matrix and store the result in dest.
Matrix4f	mulLocalAffine(Matrix4fc left)	Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in this.
Matrix4f	mulLocalAffine(Matrix4fc left, Matrix4f dest)	Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in dest.
Matrix4f	mulOrthoAffine(Matrix4fc view)	Multiply this orthographic projection matrix by the supplied affine view matrix.
Matrix4f	mulOrthoAffine(Matrix4fc view, Matrix4f dest)	Multiply this orthographic projection matrix by the supplied affine view matrix and store the result in dest.
Matrix4f	mulPerspectiveAffine(Matrix4fc view)	Multiply this symmetric perspective projection matrix by the supplied affine view matrix.
Matrix4f	mulPerspectiveAffine(Matrix4fc view, Matrix4f dest)	Multiply this symmetric perspective projection matrix by the supplied affine view matrix and store the result in dest.
Matrix4f	mulPerspectiveAffine(Matrix4x3fc view)	Multiply this symmetric perspective projection matrix by the supplied view matrix.
Matrix4f	mulPerspectiveAffine(Matrix4x3fc view, Matrix4f dest)	Multiply this symmetric perspective projection matrix by the supplied view matrix and store the result in dest.
Matrix4f	mulTranslationAffine(Matrix4fc right, Matrix4f dest)	Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix, which is assumed to be affine, and store the result in dest.
Matrix4f	negateX()	Multiply this by the matrix
Matrix4f	negateX(Matrix4f dest)	Multiply this by the matrix
Matrix4f	negateY()	Multiply this by the matrix
Matrix4f	negateY(Matrix4f dest)	Multiply this by the matrix
Matrix4f	negateZ()	Multiply this by the matrix
Matrix4f	negateZ(Matrix4f dest)	Multiply this by the matrix
Matrix4f	normal()	Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of this.
Matrix3f	normal(Matrix3f dest)	Compute a normal matrix from the upper left 3x3 submatrix of this and store it into dest.
Matrix4f	normal(Matrix4f dest)	Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of dest.
Matrix4f	normalize3x3()	Normalize the upper left 3x3 submatrix of this matrix.
Matrix3f	normalize3x3(Matrix3f dest)	Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
Matrix4f	normalize3x3(Matrix4f dest)	Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
Vector3f	normalizedPositiveX(Vector3f dir)	Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied.
Vector3f	normalizedPositiveY(Vector3f dir)	Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied.
Vector3f	normalizedPositiveZ(Vector3f dir)	Obtain the direction of +Z before the transformation represented by this orthogonal matrix is applied.
Matrix4f	obliqueZ(float a, float b)	Apply an oblique projection transformation to this matrix with the given values for a and b.
Matrix4f	obliqueZ(float a, float b, Matrix4f dest)	Apply an oblique projection transformation to this matrix with the given values for a and b and store the result in dest.
Vector3f	origin(Vector3f dest)	Obtain the position that gets transformed to the origin by this matrix.
Vector3f	originAffine(Vector3f origin)	Obtain the position that gets transformed to the origin by this affine matrix.
Matrix4f	ortho(float left, float right, float bottom, float top, float zNear, float zFar)	Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	ortho(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	ortho(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	ortho(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)	Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	ortho2D(float left, float right, float bottom, float top)	Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.
Matrix4f	ortho2D(float left, float right, float bottom, float top, Matrix4f dest)	Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.
Matrix4f	ortho2DLH(float left, float right, float bottom, float top)	Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.
Matrix4f	ortho2DLH(float left, float right, float bottom, float top, Matrix4f dest)	Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.
Matrix4f	orthoCrop(Matrix4fc view, Matrix4f dest)	Build an ortographic projection transformation that fits the view-projection transformation represented by this into the given affine view transformation.
Matrix4f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar)	Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.
Matrix4f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)	Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	orthoSymmetric(float width, float height, float zNear, float zFar)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	orthoSymmetric(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	orthoSymmetric(float width, float height, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	orthoSymmetric(float width, float height, float zNear, float zFar, Matrix4f dest)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	orthoSymmetricLH(float width, float height, float zNear, float zFar)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	orthoSymmetricLH(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	orthoSymmetricLH(float width, float height, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	orthoSymmetricLH(float width, float height, float zNear, float zFar, Matrix4f dest)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	perspective(float fovy, float aspect, float zNear, float zFar)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspective(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne)	Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspective(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspective(float fovy, float aspect, float zNear, float zFar, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
float	perspectiveFar()	Extract the far clip plane distance from this perspective projection matrix.
float	perspectiveFov()	Return the vertical field-of-view angle in radians of this perspective transformation matrix.
Matrix4f	perspectiveFrustumSlice(float near, float far, Matrix4f dest)	Change the near and far clip plane distances of this perspective frustum transformation matrix and store the result in dest.
Vector3f	perspectiveInvOrigin(Vector3f dest)	Compute the eye/origin of the inverse of the perspective frustum transformation defined by this matrix, which can be the inverse of a projection matrix or the inverse of a combined modelview-projection matrix, and store the result in the given dest.
Matrix4f	perspectiveLH(float fovy, float aspect, float zNear, float zFar)	Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspectiveLH(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne)	Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspectiveLH(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspectiveLH(float fovy, float aspect, float zNear, float zFar, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
float	perspectiveNear()	Extract the near clip plane distance from this perspective projection matrix.
Matrix4f	perspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar, boolean zZeroToOne)	Apply an asymmetric off-center perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	perspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	perspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar)	Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne)	Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, Matrix4f dest)	Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
static void	perspectiveOffCenterViewFromRectangle(Vector3f eye, Vector3f p, Vector3f x, Vector3f y, float nearFarDist, boolean zeroToOne, Matrix4f projDest, Matrix4f viewDest)	Create a view and off-center perspective projection matrix from a given eye position, a given bottom left corner position p of the near plane rectangle and the extents of the near plane rectangle along its local x and y axes, and store the resulting matrices in projDest and viewDest.
Vector3f	perspectiveOrigin(Vector3f origin)	Compute the eye/origin of the perspective frustum transformation defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given origin.
Matrix4f	perspectiveRect(float width, float height, float zNear, float zFar)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4f	perspectiveRect(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4f	perspectiveRect(float width, float height, float zNear, float zFar, boolean zZeroToOne, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4f	perspectiveRect(float width, float height, float zNear, float zFar, Matrix4f dest)	Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4f	pick(float x, float y, float width, float height, int[] viewport)	Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.
Matrix4f	pick(float x, float y, float width, float height, int[] viewport, Matrix4f dest)	Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.
Vector3f	positiveX(Vector3f dir)	Obtain the direction of +X before the transformation represented by this matrix is applied.
Vector3f	positiveY(Vector3f dir)	Obtain the direction of +Y before the transformation represented by this matrix is applied.
Vector3f	positiveZ(Vector3f dir)	Obtain the direction of +Z before the transformation represented by this matrix is applied.
Vector3f	project(float x, float y, float z, int[] viewport, Vector3f winCoordsDest)	Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
Vector4f	project(float x, float y, float z, int[] viewport, Vector4f winCoordsDest)	Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
Vector3f	project(Vector3fc position, int[] viewport, Vector3f winCoordsDest)	Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
Vector4f	project(Vector3fc position, int[] viewport, Vector4f winCoordsDest)	Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
Matrix4f	projectedGridRange(Matrix4fc projector, float sLower, float sUpper, Matrix4f dest)	Compute the range matrix for the Projected Grid transformation as described in chapter "2.4.2 Creating the range conversion matrix" of the paper Real-time water rendering - Introducing the projected grid concept based on the inverse of the view-projection matrix which is assumed to be this, and store that range matrix into dest.
int	properties()	Return the assumed properties of this matrix.
void	readExternal(ObjectInput in)
Matrix4f	reflect(float a, float b, float c, float d)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
Matrix4f	reflect(float nx, float ny, float nz, float px, float py, float pz)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4f	reflect(float nx, float ny, float nz, float px, float py, float pz, Matrix4f dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
Matrix4f	reflect(float a, float b, float c, float d, Matrix4f dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.
Matrix4f	reflect(Quaternionfc orientation, Vector3fc point)	Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.
Matrix4f	reflect(Quaternionfc orientation, Vector3fc point, Matrix4f dest)	Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.
Matrix4f	reflect(Vector3fc normal, Vector3fc point)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4f	reflect(Vector3fc normal, Vector3fc point, Matrix4f dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
Matrix4f	reflection(float a, float b, float c, float d)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
Matrix4f	reflection(float nx, float ny, float nz, float px, float py, float pz)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4f	reflection(Quaternionfc orientation, Vector3fc point)	Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.
Matrix4f	reflection(Vector3fc normal, Vector3fc point)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4f	rotate(float ang, float x, float y, float z)	Apply rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.
Matrix4f	rotate(float ang, float x, float y, float z, Matrix4f dest)	Apply rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4f	rotate(float angle, Vector3fc axis)	Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
Matrix4f	rotate(float angle, Vector3fc axis, Matrix4f dest)	Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
Matrix4f	rotate(AxisAngle4f axisAngle)	Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.
Matrix4f	rotate(AxisAngle4f axisAngle, Matrix4f dest)	Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
Matrix4f	rotate(Quaternionfc quat)	Apply the rotation transformation of the given Quaternionfc to this matrix.
Matrix4f	rotate(Quaternionfc quat, Matrix4f dest)	Apply the rotation transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4f	rotateAffine(float ang, float x, float y, float z)	Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis.
Matrix4f	rotateAffine(float ang, float x, float y, float z, Matrix4f dest)	Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4f	rotateAffine(Quaternionfc quat)	Apply the rotation transformation of the given Quaternionfc to this matrix.
Matrix4f	rotateAffine(Quaternionfc quat, Matrix4f dest)	Apply the rotation transformation of the given Quaternionfc to this affine matrix and store the result in dest.
Matrix4f	rotateAffineXYZ(float angleX, float angleY, float angleZ)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotateAffineXYZ(float angleX, float angleY, float angleZ, Matrix4f dest)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4f	rotateAffineYXZ(float angleY, float angleX, float angleZ)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotateAffineYXZ(float angleY, float angleX, float angleZ, Matrix4f dest)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4f	rotateAffineZYX(float angleZ, float angleY, float angleX)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4f	rotateAffineZYX(float angleZ, float angleY, float angleX, Matrix4f dest)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
Matrix4f	rotateAround(Quaternionfc quat, float ox, float oy, float oz)	Apply the rotation transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin.
Matrix4f	rotateAround(Quaternionfc quat, float ox, float oy, float oz, Matrix4f dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
Matrix4f	rotateAroundAffine(Quaternionfc quat, float ox, float oy, float oz, Matrix4f dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this affine matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
Matrix4f	rotateAroundLocal(Quaternionfc quat, float ox, float oy, float oz)	Pre-multiply the rotation transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin.
Matrix4f	rotateAroundLocal(Quaternionfc quat, float ox, float oy, float oz, Matrix4f dest)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
Matrix4f	rotateLocal(float ang, float x, float y, float z)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.
Matrix4f	rotateLocal(float ang, float x, float y, float z, Matrix4f dest)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4f	rotateLocal(Quaternionfc quat)	Pre-multiply the rotation transformation of the given Quaternionfc to this matrix.
Matrix4f	rotateLocal(Quaternionfc quat, Matrix4f dest)	Pre-multiply the rotation transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4f	rotateLocalX(float ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.
Matrix4f	rotateLocalX(float ang, Matrix4f dest)	Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in dest.
Matrix4f	rotateLocalY(float ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.
Matrix4f	rotateLocalY(float ang, Matrix4f dest)	Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in dest.
Matrix4f	rotateLocalZ(float ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.
Matrix4f	rotateLocalZ(float ang, Matrix4f dest)	Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in dest.
Matrix4f	rotateTowards(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ).
Matrix4f	rotateTowards(float dirX, float dirY, float dirZ, float upX, float upY, float upZ, Matrix4f dest)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ) and store the result in dest.
Matrix4f	rotateTowards(Vector3fc dir, Vector3fc up)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir.
Matrix4f	rotateTowards(Vector3fc dir, Vector3fc up, Matrix4f dest)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir and store the result in dest.
Matrix4f	rotateTowardsXY(float dirX, float dirY)	Apply rotation about the Z axis to align the local +X towards (dirX, dirY).
Matrix4f	rotateTowardsXY(float dirX, float dirY, Matrix4f dest)	Apply rotation about the Z axis to align the local +X towards (dirX, dirY) and store the result in dest.
Matrix4f	rotateTranslation(float ang, float x, float y, float z, Matrix4f dest)	Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4f	rotateTranslation(Quaternionfc quat, Matrix4f dest)	Apply the rotation transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.
Matrix4f	rotateX(float ang)	Apply rotation about the X axis to this matrix by rotating the given amount of radians.
Matrix4f	rotateX(float ang, Matrix4f dest)	Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4f	rotateXYZ(float angleX, float angleY, float angleZ)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotateXYZ(float angleX, float angleY, float angleZ, Matrix4f dest)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4f	rotateXYZ(Vector3fc angles)	Apply rotation of angles.x radians about the X axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.z radians about the Z axis.
Matrix4f	rotateY(float ang)	Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
Matrix4f	rotateY(float ang, Matrix4f dest)	Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4f	rotateYXZ(float angleY, float angleX, float angleZ)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotateYXZ(float angleY, float angleX, float angleZ, Matrix4f dest)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4f	rotateYXZ(Vector3f angles)	Apply rotation of angles.y radians about the Y axis, followed by a rotation of angles.x radians about the X axis and followed by a rotation of angles.z radians about the Z axis.
Matrix4f	rotateZ(float ang)	Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
Matrix4f	rotateZ(float ang, Matrix4f dest)	Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4f	rotateZYX(float angleZ, float angleY, float angleX)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4f	rotateZYX(float angleZ, float angleY, float angleX, Matrix4f dest)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
Matrix4f	rotateZYX(Vector3f angles)	Apply rotation of angles.z radians about the Z axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.x radians about the X axis.
Matrix4f	rotation(float angle, float x, float y, float z)	Set this matrix to a rotation matrix which rotates the given radians about a given axis.
Matrix4f	rotation(float angle, Vector3fc axis)	Set this matrix to a rotation matrix which rotates the given radians about a given axis.
Matrix4f	rotation(AxisAngle4f axisAngle)	Set this matrix to a rotation transformation using the given AxisAngle4f.
Matrix4f	rotation(Quaternionfc quat)	Set this matrix to the rotation transformation of the given Quaternionfc.
Matrix4f	rotationAround(Quaternionfc quat, float ox, float oy, float oz)	Set this matrix to a transformation composed of a rotation of the specified Quaternionfc while using (ox, oy, oz) as the rotation origin.
Matrix4f	rotationTowards(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)	Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with (dirX, dirY, dirZ).
Matrix4f	rotationTowards(Vector3fc dir, Vector3fc up)	Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.
Matrix4f	rotationTowardsXY(float dirX, float dirY)	Set this matrix to a rotation transformation about the Z axis to align the local +X towards (dirX, dirY).
Matrix4f	rotationX(float ang)	Set this matrix to a rotation transformation about the X axis.
Matrix4f	rotationXYZ(float angleX, float angleY, float angleZ)	Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotationY(float ang)	Set this matrix to a rotation transformation about the Y axis.
Matrix4f	rotationYXZ(float angleY, float angleX, float angleZ)	Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	rotationZ(float ang)	Set this matrix to a rotation transformation about the Z axis.
Matrix4f	rotationZYX(float angleZ, float angleY, float angleX)	Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4f	scale(float xyz)	Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.
Matrix4f	scale(float x, float y, float z)	Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors.
Matrix4f	scale(float x, float y, float z, Matrix4f dest)	Apply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
Matrix4f	scale(float xyz, Matrix4f dest)	Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.
Matrix4f	scale(Vector3fc xyz)	Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.
Matrix4f	scale(Vector3fc xyz, Matrix4f dest)	Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.
Matrix4f	scaleAround(float factor, float ox, float oy, float oz)	Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.
Matrix4f	scaleAround(float sx, float sy, float sz, float ox, float oy, float oz)	Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.
Matrix4f	scaleAround(float sx, float sy, float sz, float ox, float oy, float oz, Matrix4f dest)	Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4f	scaleAround(float factor, float ox, float oy, float oz, Matrix4f dest)	Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4f	scaleAroundLocal(float factor, float ox, float oy, float oz)	Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.
Matrix4f	scaleAroundLocal(float sx, float sy, float sz, float ox, float oy, float oz)	Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.
Matrix4f	scaleAroundLocal(float sx, float sy, float sz, float ox, float oy, float oz, Matrix4f dest)	Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using the given (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4f	scaleAroundLocal(float factor, float ox, float oy, float oz, Matrix4f dest)	Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4f	scaleLocal(float xyz)	Pre-multiply scaling to this matrix by scaling the base axes by the given xyz factor.
Matrix4f	scaleLocal(float x, float y, float z)	Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.
Matrix4f	scaleLocal(float x, float y, float z, Matrix4f dest)	Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
Matrix4f	scaleLocal(float xyz, Matrix4f dest)	Pre-multiply scaling to this matrix by scaling all base axes by the given xyz factor, and store the result in dest.
Matrix4f	scaleXY(float x, float y)	Apply scaling to this matrix by scaling the X axis by x and the Y axis by y.
Matrix4f	scaleXY(float x, float y, Matrix4f dest)	Apply scaling to this matrix by by scaling the X axis by x and the Y axis by y and store the result in dest.
Matrix4f	scaling(float factor)	Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
Matrix4f	scaling(float x, float y, float z)	Set this matrix to be a simple scale matrix.
Matrix4f	scaling(Vector3fc xyz)	Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z respectively.
Matrix4f	set(float[] m)	Set the values in the matrix using a float array that contains the matrix elements in column-major order.
Matrix4f	set(float[] m, int off)	Set the values in the matrix using a float array that contains the matrix elements in column-major order.
Matrix4f	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 values within this matrix to the supplied float values.
Matrix4f	set(int column, int row, float value)	Set the matrix element at the given column and row to the specified value.
Matrix4f	set(int index, ByteBuffer buffer)	Set the values of this matrix by reading 16 float values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4f	set(int index, FloatBuffer buffer)	Set the values of this matrix by reading 16 float values from the given FloatBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4f	set(ByteBuffer buffer)	Set the values of this matrix by reading 16 float values from the given ByteBuffer in column-major order, starting at its current position.
Matrix4f	set(FloatBuffer buffer)	Set the values of this matrix by reading 16 float values from the given FloatBuffer in column-major order, starting at its current position.
Matrix4f	set(AxisAngle4d axisAngle)	Set this matrix to be equivalent to the rotation specified by the given AxisAngle4d.
Matrix4f	set(AxisAngle4f axisAngle)	Set this matrix to be equivalent to the rotation specified by the given AxisAngle4f.
Matrix4f	set(Matrix3fc mat)	Set the upper left 3x3 submatrix of this Matrix4f to the given Matrix3fc and the rest to identity.
Matrix4f	set(Matrix4dc m)	Store the values of the given matrix m into this matrix.
Matrix4f	set(Matrix4fc m)	Store the values of the given matrix m into this matrix.
Matrix4f	set(Matrix4x3fc m)	Store the values of the given matrix m into this matrix and set the other matrix elements to identity.
Matrix4f	set(Quaterniondc q)	Set this matrix to be equivalent to the rotation specified by the given Quaterniondc.
Matrix4f	set(Quaternionfc q)	Set this matrix to be equivalent to the rotation specified by the given Quaternionfc.
Matrix4f	set(Vector4fc col0, Vector4fc col1, Vector4fc col2, Vector4fc col3)	Set the four columns of this matrix to the supplied vectors, respectively.
Matrix4f	set3x3(Matrix3fc mat)	Set the upper left 3x3 submatrix of this Matrix4f to the given Matrix3fc and don't change the other elements.
Matrix4f	set3x3(Matrix4f mat)	Set the upper left 3x3 submatrix of this Matrix4f to that of the given Matrix4f and don't change the other elements.
Matrix4f	set4x3(Matrix4f mat)	Set the upper 4x3 submatrix of this Matrix4f to the upper 4x3 submatrix of the given Matrix4f and don't change the other elements.
Matrix4f	set4x3(Matrix4x3fc mat)	Set the upper 4x3 submatrix of this Matrix4f to the given Matrix4x3fc and don't change the other elements.
Matrix4f	setColumn(int column, Vector4fc src)	Set the column at the given column index, starting with 0.
Matrix4f	setFromAddress(long address)	Set the values of this matrix by reading 16 float values from off-heap memory in column-major order, starting at the given address.
Matrix4f	setFromIntrinsic(float alphaX, float alphaY, float gamma, float u0, float v0, int imgWidth, int imgHeight, float near, float far)	Set this matrix to represent a perspective projection equivalent to the given intrinsic camera calibration parameters.
Matrix4f	setFrustum(float left, float right, float bottom, float top, float zNear, float zFar)	Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setFrustum(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setFrustumLH(float left, float right, float bottom, float top, float zNear, float zFar)	Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setFrustumLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setLookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)	Set this matrix to a rotation transformation to make -z point along dir.
Matrix4f	setLookAlong(Vector3fc dir, Vector3fc up)	Set this matrix to a rotation transformation to make -z point along dir.
Matrix4f	setLookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)	Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4f	setLookAt(Vector3fc eye, Vector3fc center, Vector3fc up)	Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4f	setLookAtLH(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)	Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4f	setLookAtLH(Vector3fc eye, Vector3fc center, Vector3fc up)	Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4f	setOrtho(float left, float right, float bottom, float top, float zNear, float zFar)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setOrtho(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setOrtho2D(float left, float right, float bottom, float top)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.
Matrix4f	setOrtho2DLH(float left, float right, float bottom, float top)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.
Matrix4f	setOrthoLH(float left, float right, float bottom, float top, float zNear, float zFar)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setOrthoLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
Matrix4f	setOrthoSymmetric(float width, float height, float zNear, float zFar)	Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setOrthoSymmetric(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setOrthoSymmetricLH(float width, float height, float zNear, float zFar)	Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setOrthoSymmetricLH(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
Matrix4f	setPerspective(float fovy, float aspect, float zNear, float zFar)	Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspective(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setPerspectiveLH(float fovy, float aspect, float zNear, float zFar)	Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspectiveLH(float fovy, float aspect, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range of [-1..+1].
Matrix4f	setPerspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspectiveOffCenter(float fovy, float offAngleX, float offAngleY, float aspect, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setPerspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspectiveOffCenterFov(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setPerspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspectiveOffCenterFovLH(float angleLeft, float angleRight, float angleDown, float angleUp, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range.
Matrix4f	setPerspectiveRect(float width, float height, float zNear, float zFar)	Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4f	setPerspectiveRect(float width, float height, float zNear, float zFar, boolean zZeroToOne)	Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
Matrix4f	setRotationXYZ(float angleX, float angleY, float angleZ)	Set only the upper left 3x3 submatrix of this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	setRotationYXZ(float angleY, float angleX, float angleZ)	Set only the upper left 3x3 submatrix of this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4f	setRotationZYX(float angleZ, float angleY, float angleX)	Set only the upper left 3x3 submatrix of this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4f	setRow(int row, Vector4fc src)	Set the row at the given row index, starting with 0.
Matrix4f	setRowColumn(int row, int column, float value)	Set the matrix element at the given row and column to the specified value.
Matrix4f	setTranslation(float x, float y, float z)	Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).
Matrix4f	setTranslation(Vector3fc xyz)	Set only the translation components (m30, m31, m32) of this matrix to the values (xyz.x, xyz.y, xyz.z).
Matrix4f	setTransposed(float[] m)	Set the values in the matrix using a float array that contains the matrix elements in row-major order.
Matrix4f	setTransposed(float[] m, int off)	Set the values in the matrix using a float array that contains the matrix elements in row-major order.
Matrix4f	setTransposed(ByteBuffer buffer)	Set the values of this matrix by reading 16 float values from the given ByteBuffer in row-major order, starting at its current position.
Matrix4f	setTransposed(FloatBuffer buffer)	Set the values of this matrix by reading 16 float values from the given FloatBuffer in row-major order, starting at its current position.
Matrix4f	setTransposed(Matrix4fc m)	Store the values of the transpose of the given matrix m into this matrix.
Matrix4f	setTransposedFromAddress(long address)	Set the values of this matrix by reading 16 float values from off-heap memory in row-major order, starting at the given address.
Matrix4f	shadow(float lightX, float lightY, float lightZ, float lightW, float a, float b, float c, float d)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
Matrix4f	shadow(float lightX, float lightY, float lightZ, float lightW, float a, float b, float c, float d, Matrix4f dest)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
Matrix4f	shadow(float lightX, float lightY, float lightZ, float lightW, Matrix4f planeTransform)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
Matrix4f	shadow(float lightX, float lightY, float lightZ, float lightW, Matrix4fc planeTransform, Matrix4f dest)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
Matrix4f	shadow(Vector4f light, float a, float b, float c, float d)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light.
Matrix4f	shadow(Vector4f light, float a, float b, float c, float d, Matrix4f dest)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
Matrix4f	shadow(Vector4f light, Matrix4f planeTransform)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light.
Matrix4f	shadow(Vector4f light, Matrix4fc planeTransform, Matrix4f dest)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
Matrix4f	sub(Matrix4fc subtrahend)	Component-wise subtract subtrahend from this.
Matrix4f	sub(Matrix4fc subtrahend, Matrix4f dest)	Component-wise subtract subtrahend from this and store the result in dest.
Matrix4f	sub4x3(Matrix4f subtrahend)	Component-wise subtract the upper 4x3 submatrices of subtrahend from this.
Matrix4f	sub4x3(Matrix4fc subtrahend, Matrix4f dest)	Component-wise subtract the upper 4x3 submatrices of subtrahend from this and store the result in dest.
Matrix4f	swap(Matrix4f other)	Exchange the values of this matrix with the given other matrix.
boolean	testAab(float minX, float minY, float minZ, float maxX, float maxY, float maxZ)	Test whether the given axis-aligned box is partly or completely within or outside of the frustum defined by this matrix.
boolean	testPoint(float x, float y, float z)	Test whether the given point (x, y, z) is within the frustum defined by this matrix.
boolean	testSphere(float x, float y, float z, float r)	Test whether the given sphere is partly or completely within or outside of the frustum defined by this matrix.
Matrix4f	tile(int x, int y, int w, int h)	This method is equivalent to calling: translate(w-1-2*x, h-1-2*y, 0).scale(w, h, 1)
Matrix4f	tile(int x, int y, int w, int h, Matrix4f dest)	This method is equivalent to calling: translate(w-1-2*x, h-1-2*y, 0, dest).scale(w, h, 1)
String	toString()	Return a string representation of this matrix.
String	toString(NumberFormat formatter)	Return a string representation of this matrix by formatting the matrix elements with the given NumberFormat.
Vector4f	transform(float x, float y, float z, float w, Vector4f dest)	Transform/multiply the vector (x, y, z, w) by this matrix and store the result in dest.
Vector4f	transform(Vector4f v)	Transform/multiply the given vector by this matrix and store the result in that vector.
Vector4f	transform(Vector4fc v, Vector4f dest)	Transform/multiply the given vector by this matrix and store the result in dest.
Matrix4f	transformAab(float minX, float minY, float minZ, float maxX, float maxY, float maxZ, Vector3f outMin, Vector3f outMax)	Transform the axis-aligned box given as the minimum corner (minX, minY, minZ) and maximum corner (maxX, maxY, maxZ) by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
Matrix4f	transformAab(Vector3fc min, Vector3fc max, Vector3f outMin, Vector3f outMax)	Transform the axis-aligned box given as the minimum corner min and maximum corner max by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
Vector4f	transformAffine(float x, float y, float z, float w, Vector4f dest)	Transform/multiply the 4D-vector (x, y, z, w) by assuming that this matrix represents an affine transformation (i.e.
Vector4f	transformAffine(Vector4f v)	Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e.
Vector4f	transformAffine(Vector4fc v, Vector4f dest)	Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e.
Vector3f	transformDirection(float x, float y, float z, Vector3f dest)	Transform/multiply the given 3D-vector (x, y, z), as if it was a 4D-vector with w=0, by this matrix and store the result in dest.
Vector3f	transformDirection(Vector3f v)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.
Vector3f	transformDirection(Vector3fc v, Vector3f dest)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in dest.
Vector3f	transformPosition(float x, float y, float z, Vector3f dest)	Transform/multiply the 3D-vector (x, y, z), as if it was a 4D-vector with w=1, by this matrix and store the result in dest.
Vector3f	transformPosition(Vector3f v)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.
Vector3f	transformPosition(Vector3fc v, Vector3f dest)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in dest.
Vector3f	transformProject(float x, float y, float z, float w, Vector3f dest)	Transform/multiply the vector (x, y, z, w) by this matrix, perform perspective divide and store (x, y, z) of the result in dest.
Vector4f	transformProject(float x, float y, float z, float w, Vector4f dest)	Transform/multiply the vector (x, y, z, w) by this matrix, perform perspective divide and store the result in dest.
Vector3f	transformProject(float x, float y, float z, Vector3f dest)	Transform/multiply the vector (x, y, z) by this matrix, perform perspective divide and store the result in dest.
Vector3f	transformProject(Vector3f v)	Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
Vector3f	transformProject(Vector3fc v, Vector3f dest)	Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
Vector4f	transformProject(Vector4f v)	Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
Vector3f	transformProject(Vector4fc v, Vector3f dest)	Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
Vector4f	transformProject(Vector4fc v, Vector4f dest)	Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
Vector4f	transformTranspose(float x, float y, float z, float w, Vector4f dest)	Transform/multiply the vector (x, y, z, w) by the transpose of this matrix and store the result in dest.
Vector4f	transformTranspose(Vector4f v)	Transform/multiply the given vector by the transpose of this matrix and store the result in that vector.
Vector4f	transformTranspose(Vector4fc v, Vector4f dest)	Transform/multiply the given vector by the transpose of this matrix and store the result in dest.
Matrix4f	translate(float x, float y, float z)	Apply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4f	translate(float x, float y, float z, Matrix4f dest)	Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4f	translate(Vector3fc offset)	Apply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4f	translate(Vector3fc offset, Matrix4f dest)	Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4f	translateLocal(float x, float y, float z)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4f	translateLocal(float x, float y, float z, Matrix4f dest)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4f	translateLocal(Vector3fc offset)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4f	translateLocal(Vector3fc offset, Matrix4f dest)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4f	translation(float x, float y, float z)	Set this matrix to be a simple translation matrix.
Matrix4f	translation(Vector3fc offset)	Set this matrix to be a simple translation matrix.
Matrix4f	translationRotate(float tx, float ty, float tz, float qx, float qy, float qz, float qw)	Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw).
Matrix4f	translationRotate(float tx, float ty, float tz, Quaternionfc quat)	Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the given quaternion.
Matrix4f	translationRotate(Vector3fc translation, Quaternionfc quat)	Set this matrix to T * R, where T is the given translation and R is a rotation transformation specified by the given quaternion.
Matrix4f	translationRotateInvert(float tx, float ty, float tz, float qx, float qy, float qz, float qw)	Set this matrix to (T * R)-1, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the quaternion (qx, qy, qz, qw).
Matrix4f	translationRotateInvert(Vector3fc translation, Quaternionfc quat)	Set this matrix to (T * R)-1, where T is the given translation and R is a rotation transformation specified by the given quaternion.
Matrix4f	translationRotateScale(float tx, float ty, float tz, float qx, float qy, float qz, float qw, float scale)	Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales all three axes by scale.
Matrix4f	translationRotateScale(float tx, float ty, float tz, float qx, float qy, float qz, float qw, float sx, float sy, float sz)	Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
Matrix4f	translationRotateScale(Vector3fc translation, Quaternionfc quat, float scale)	Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.
Matrix4f	translationRotateScale(Vector3fc translation, Quaternionfc quat, Vector3fc scale)	Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
Matrix4f	translationRotateScaleInvert(float tx, float ty, float tz, float qx, float qy, float qz, float qw, float sx, float sy, float sz)	Set this matrix to (T * R * S)-1, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
Matrix4f	translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, float scale)	Set this matrix to (T * R * S)-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.
Matrix4f	translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, Vector3fc scale)	Set this matrix to (T * R * S)-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
Matrix4f	translationRotateScaleMulAffine(float tx, float ty, float tz, float qx, float qy, float qz, float qw, float sx, float sy, float sz, Matrix4f m)	Set this matrix to T * R * S * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw), S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz) and M is an affine matrix.
Matrix4f	translationRotateScaleMulAffine(Vector3fc translation, Quaternionfc quat, Vector3fc scale, Matrix4f m)	Set this matrix to T * R * S * M, where T is the given translation, R is a rotation - and possibly scaling - transformation specified by the given quaternion, S is a scaling transformation which scales the axes by scale and M is an affine matrix.
Matrix4f	translationRotateTowards(float posX, float posY, float posZ, float dirX, float dirY, float dirZ, float upX, float upY, float upZ)	Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given (posX, posY, posZ) and aligns the local -z axis with (dirX, dirY, dirZ).
Matrix4f	translationRotateTowards(Vector3fc pos, Vector3fc dir, Vector3fc up)	Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given pos and aligns the local -z axis with dir.
Matrix4f	transpose()	Transpose this matrix.
Matrix4f	transpose(Matrix4f dest)	Transpose this matrix and store the result in dest.
Matrix4f	transpose3x3()	Transpose only the upper left 3x3 submatrix of this matrix.
Matrix3f	transpose3x3(Matrix3f dest)	Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
Matrix4f	transpose3x3(Matrix4f dest)	Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
Matrix4f	trapezoidCrop(float p0x, float p0y, float p1x, float p1y, float p2x, float p2y, float p3x, float p3y)	Set this matrix to a perspective transformation that maps the trapezoid spanned by the four corner coordinates (p0x, p0y), (p1x, p1y), (p2x, p2y) and (p3x, p3y) to the unit square [(-1, -1)..(+1, +1)].
Vector3f	unproject(float winX, float winY, float winZ, int[] viewport, Vector3f dest)	Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
Vector4f	unproject(float winX, float winY, float winZ, int[] viewport, Vector4f dest)	Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
Vector3f	unproject(Vector3fc winCoords, int[] viewport, Vector3f dest)	Unproject the given window coordinates winCoords by this matrix using the specified viewport.
Vector4f	unproject(Vector3fc winCoords, int[] viewport, Vector4f dest)	Unproject the given window coordinates winCoords by this matrix using the specified viewport.
Vector3f	unprojectInv(float winX, float winY, float winZ, int[] viewport, Vector3f dest)	Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
Vector4f	unprojectInv(float winX, float winY, float winZ, int[] viewport, Vector4f dest)	Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
Vector3f	unprojectInv(Vector3fc winCoords, int[] viewport, Vector3f dest)	Unproject the given window coordinates winCoords by this matrix using the specified viewport.
Vector4f	unprojectInv(Vector3fc winCoords, int[] viewport, Vector4f dest)	Unproject the given window coordinates winCoords by this matrix using the specified viewport.
Matrix4f	unprojectInvRay(float winX, float winY, int[] viewport, Vector3f originDest, Vector3f dirDest)	Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
Matrix4f	unprojectInvRay(Vector2fc winCoords, int[] viewport, Vector3f originDest, Vector3f dirDest)	Unproject the given window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
Matrix4f	unprojectRay(float winX, float winY, int[] viewport, Vector3f originDest, Vector3f dirDest)	Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
Matrix4f	unprojectRay(Vector2fc winCoords, int[] viewport, Vector3f originDest, Vector3f dirDest)	Unproject the given 2D window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
Matrix4f	withLookAtUp(float upX, float upY, float upZ)	Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3f)) and the given vector (upX, upY, upZ).
Matrix4f	withLookAtUp(float upX, float upY, float upZ, Matrix4f dest)	Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4fc.positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4fc.positiveZ(Vector3f)) and the given vector (upX, upY, upZ), and store the result in dest.
Matrix4f	withLookAtUp(Vector3fc up)	Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3f)) and the given vector up.
Matrix4f	withLookAtUp(Vector3fc up, Matrix4f dest)	Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4fc.positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4fc.positiveZ(Vector3f)) and the given vector up, and store the result in dest.
void	writeExternal(ObjectOutput out)
Matrix4f	zero()	Set all the values within this matrix to 0.

Methods inherited from class java.lang.Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Details

Matrix4f

public Matrix4f()

Create a new Matrix4f and set it to identity.

Matrix4f

public Matrix4f(Matrix3fc mat)

Create a new Matrix4f by setting its uppper left 3x3 submatrix to the values of the given Matrix3fc and the rest to identity.

Parameters:

mat - the Matrix3fc

Matrix4f

public Matrix4f(Matrix4fc mat)

Create a new Matrix4f and make it a copy of the given matrix.

Parameters:

mat - the Matrix4fc to copy the values from

Matrix4f

public Matrix4f(Matrix4x3fc mat)

Create a new Matrix4f and set its upper 4x3 submatrix to the given matrix mat and all other elements to identity.

Parameters:

mat - the Matrix4x3fc to copy the values from

Matrix4f

public Matrix4f(Matrix4dc mat)

Create a new Matrix4f and make it a copy of the given matrix.

Note that due to the given Matrix4dc storing values in double-precision and the constructed Matrix4f storing them in single-precision, there is the possibility of losing precision.

Parameters:

mat - the Matrix4dc to copy the values from

Matrix4f

public Matrix4f(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)

Create a new 4x4 matrix using the supplied float values.

The matrix layout will be:

m00, m10, m20, m30
m01, m11, m21, m31
m02, m12, m22, m32
m03, m13, m23, m33

Parameters:

m00 - the value of m00

m01 - the value of m01

m02 - the value of m02

m03 - the value of m03

m10 - the value of m10

m11 - the value of m11

m12 - the value of m12

m13 - the value of m13

m20 - the value of m20

m21 - the value of m21

m22 - the value of m22

m23 - the value of m23

m30 - the value of m30

m31 - the value of m31

m32 - the value of m32

m33 - the value of m33

Matrix4f

public Matrix4f(FloatBuffer buffer)

Create a new Matrix4f by reading its 16 float components from the given FloatBuffer at the buffer's current position.

That FloatBuffer is expected to hold the values in column-major order.

The buffer's position will not be changed by this method.

Parameters:

buffer - the FloatBuffer to read the matrix values from

Matrix4f

public Matrix4f(Vector4fc col0,
 Vector4fc col1,
 Vector4fc col2,
 Vector4fc col3)

Create a new Matrix4f and initialize its four columns using the supplied vectors.

Parameters:

col0 - the first column

col1 - the second column

col2 - the third column

col3 - the fourth column

Method Details

assume

public Matrix4f assume(int properties)

Assume the given properties about this matrix.

Use one or multiple of 0, Matrix4fc.PROPERTY_IDENTITY, Matrix4fc.PROPERTY_TRANSLATION, Matrix4fc.PROPERTY_AFFINE, Matrix4fc.PROPERTY_PERSPECTIVE, Matrix4fc.PROPERTY_ORTHONORMAL.

Parameters:

properties - bitset of the properties to assume about this matrix

Returns:

this

determineProperties

public Matrix4f determineProperties()

Compute and set the matrix properties returned by properties() based on the current matrix element values.

Returns:

this

properties

public int properties()

Description copied from interface: Matrix4fc

Return the assumed properties of this matrix. This is a bit-combination of Matrix4fc.PROPERTY_IDENTITY, Matrix4fc.PROPERTY_AFFINE, Matrix4fc.PROPERTY_TRANSLATION and Matrix4fc.PROPERTY_PERSPECTIVE.

Specified by:

properties in interface Matrix4fc

Returns:

the properties of the matrix

m00

public float m00()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 0 and row 0.

Specified by:

m00 in interface Matrix4fc

Returns:

the value of the matrix element

m01

public float m01()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 0 and row 1.

Specified by:

m01 in interface Matrix4fc

Returns:

the value of the matrix element

m02

public float m02()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 0 and row 2.

Specified by:

m02 in interface Matrix4fc

Returns:

the value of the matrix element

m03

public float m03()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 0 and row 3.

Specified by:

m03 in interface Matrix4fc

Returns:

the value of the matrix element

m10

public float m10()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 1 and row 0.

Specified by:

m10 in interface Matrix4fc

Returns:

the value of the matrix element

m11

public float m11()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 1 and row 1.

Specified by:

m11 in interface Matrix4fc

Returns:

the value of the matrix element

m12

public float m12()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 1 and row 2.

Specified by:

m12 in interface Matrix4fc

Returns:

the value of the matrix element

m13

public float m13()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 1 and row 3.

Specified by:

m13 in interface Matrix4fc

Returns:

the value of the matrix element

m20

public float m20()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 2 and row 0.

Specified by:

m20 in interface Matrix4fc

Returns:

the value of the matrix element

m21

public float m21()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 2 and row 1.

Specified by:

m21 in interface Matrix4fc

Returns:

the value of the matrix element

m22

public float m22()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 2 and row 2.

Specified by:

m22 in interface Matrix4fc

Returns:

the value of the matrix element

m23

public float m23()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 2 and row 3.

Specified by:

m23 in interface Matrix4fc

Returns:

the value of the matrix element

m30

public float m30()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 3 and row 0.

Specified by:

m30 in interface Matrix4fc

Returns:

the value of the matrix element

m31

public float m31()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 3 and row 1.

Specified by:

m31 in interface Matrix4fc

Returns:

the value of the matrix element

m32

public float m32()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 3 and row 2.

Specified by:

m32 in interface Matrix4fc

Returns:

the value of the matrix element

m33

public float m33()

Description copied from interface: Matrix4fc

Return the value of the matrix element at column 3 and row 3.

Specified by:

m33 in interface Matrix4fc

Returns:

the value of the matrix element

m00

public Matrix4f m00(float m00)

Set the value of the matrix element at column 0 and row 0.

Parameters:

m00 - the new value

Returns:

this

m01

public Matrix4f m01(float m01)

Set the value of the matrix element at column 0 and row 1.

Parameters:

m01 - the new value

Returns:

this

m02

public Matrix4f m02(float m02)

Set the value of the matrix element at column 0 and row 2.

Parameters:

m02 - the new value

Returns:

this

m03

public Matrix4f m03(float m03)

Set the value of the matrix element at column 0 and row 3.

Parameters:

m03 - the new value

Returns:

this

m10

public Matrix4f m10(float m10)

Set the value of the matrix element at column 1 and row 0.

Parameters:

m10 - the new value

Returns:

this

m11

public Matrix4f m11(float m11)

Set the value of the matrix element at column 1 and row 1.

Parameters:

m11 - the new value

Returns:

this

m12

public Matrix4f m12(float m12)

Set the value of the matrix element at column 1 and row 2.

Parameters:

m12 - the new value

Returns:

this

m13

public Matrix4f m13(float m13)

Set the value of the matrix element at column 1 and row 3.

Parameters:

m13 - the new value

Returns:

this

m20

public Matrix4f m20(float m20)

Set the value of the matrix element at column 2 and row 0.

Parameters:

m20 - the new value

Returns:

this

m21

public Matrix4f m21(float m21)

Set the value of the matrix element at column 2 and row 1.

Parameters:

m21 - the new value

Returns:

this

m22

public Matrix4f m22(float m22)

Set the value of the matrix element at column 2 and row 2.

Parameters:

m22 - the new value

Returns:

this

m23

public Matrix4f m23(float m23)

Set the value of the matrix element at column 2 and row 3.

Parameters:

m23 - the new value

Returns:

this

m30

public Matrix4f m30(float m30)

Set the value of the matrix element at column 3 and row 0.

Parameters:

m30 - the new value

Returns:

this

m31

public Matrix4f m31(float m31)

Set the value of the matrix element at column 3 and row 1.

Parameters:

m31 - the new value

Returns:

this

m32

public Matrix4f m32(float m32)

Set the value of the matrix element at column 3 and row 2.

Parameters:

m32 - the new value

Returns:

this

m33

public Matrix4f m33(float m33)

Set the value of the matrix element at column 3 and row 3.

Parameters:

m33 - the new value

Returns:

this

identity

public Matrix4f identity()

Reset this matrix to the identity.

Please note that if a call to identity() is immediately followed by a call to: translate, rotate, scale, perspective, frustum, ortho, ortho2D, lookAt, lookAlong, or any of their overloads, then the call to identity() can be omitted and the subsequent call replaced with: translation, rotation, scaling, setPerspective, setFrustum, setOrtho, setOrtho2D, setLookAt, setLookAlong, or any of their overloads.

Returns:

this

set

public Matrix4f set(Matrix4fc m)

Store the values of the given matrix m into this matrix.

Parameters:

m - the matrix to copy the values from

Returns:

this

See Also:

• Matrix4f(Matrix4fc)
• get(Matrix4f)

setTransposed

public Matrix4f setTransposed(Matrix4fc m)

Store the values of the transpose of the given matrix m into this matrix.

Parameters:

m - the matrix to copy the transposed values from

Returns:

this

set

public Matrix4f set(Matrix4x3fc m)

Store the values of the given matrix m into this matrix and set the other matrix elements to identity.

Parameters:

m - the matrix to copy the values from

Returns:

this

See Also:

• Matrix4f(Matrix4x3fc)

set

public Matrix4f set(Matrix4dc m)

Store the values of the given matrix m into this matrix.

Note that due to the given matrix m storing values in double-precision and this matrix storing them in single-precision, there is the possibility to lose precision.

Parameters:

m - the matrix to copy the values from

Returns:

this

See Also:

• Matrix4f(Matrix4dc)
• get(Matrix4d)

set

public Matrix4f set(Matrix3fc mat)

Set the upper left 3x3 submatrix of this Matrix4f to the given Matrix3fc and the rest to identity.

Parameters:

mat - the Matrix3fc

Returns:

this

See Also:

• Matrix4f(Matrix3fc)

set

public Matrix4f set(AxisAngle4f axisAngle)

Set this matrix to be equivalent to the rotation specified by the given AxisAngle4f.

Parameters:

axisAngle - the AxisAngle4f

Returns:

this

set

public Matrix4f set(AxisAngle4d axisAngle)

Set this matrix to be equivalent to the rotation specified by the given AxisAngle4d.

Parameters:

axisAngle - the AxisAngle4d

Returns:

this

set

public Matrix4f set(Quaternionfc q)

Set this matrix to be equivalent to the rotation specified by the given Quaternionfc.

This method is equivalent to calling: rotation(q)

Reference: http://www.euclideanspace.com/

Parameters:

q - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

set

public Matrix4f set(Quaterniondc q)

Set this matrix to be equivalent to the rotation specified by the given Quaterniondc.

Reference: http://www.euclideanspace.com/

Parameters:

q - the Quaterniondc

Returns:

this

set3x3

public Matrix4f set3x3(Matrix4f mat)

Set the upper left 3x3 submatrix of this Matrix4f to that of the given Matrix4f and don't change the other elements.

Parameters:

mat - the Matrix4f

Returns:

this

set4x3

public Matrix4f set4x3(Matrix4x3fc mat)

Set the upper 4x3 submatrix of this Matrix4f to the given Matrix4x3fc and don't change the other elements.

Parameters:

mat - the Matrix4x3fc

Returns:

this

See Also:

• Matrix4x3f.get(Matrix4f)

set4x3

public Matrix4f set4x3(Matrix4f mat)

Set the upper 4x3 submatrix of this Matrix4f to the upper 4x3 submatrix of the given Matrix4f and don't change the other elements.

Parameters:

mat - the Matrix4f

Returns:

this

mul

public Matrix4f mul(Matrix4fc right)

Multiply this matrix by the supplied right matrix and store the result in this.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the matrix multiplication

Returns:

this

mul

public Matrix4f mul(Matrix4fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix and store the result in dest.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mul0

public Matrix4f mul0(Matrix4fc right)

Multiply this matrix by the supplied right matrix.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

This method neither assumes nor checks for any matrix properties of this or right and will always perform a complete 4x4 matrix multiplication. This method should only be used whenever the multiplied matrices do not have any properties for which there are optimized multiplication methods available.

Parameters:

right - the right operand of the matrix multiplication

Returns:

this

mul0

public Matrix4f mul0(Matrix4fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix and store the result in dest.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

This method neither assumes nor checks for any matrix properties of this or right and will always perform a complete 4x4 matrix multiplication. This method should only be used whenever the multiplied matrices do not have any properties for which there are optimized multiplication methods available.

Specified by:

mul0 in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mul

public Matrix4f mul(float r00,
 float r01,
 float r02,
 float r03,
 float r10,
 float r11,
 float r12,
 float r13,
 float r20,
 float r21,
 float r22,
 float r23,
 float r30,
 float r31,
 float r32,
 float r33)

Multiply this matrix by the matrix with the supplied elements.

If M is this matrix and R the right matrix whose elements are supplied via the parameters, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

r00 - the m00 element of the right matrix

r01 - the m01 element of the right matrix

r02 - the m02 element of the right matrix

r03 - the m03 element of the right matrix

r10 - the m10 element of the right matrix

r11 - the m11 element of the right matrix

r12 - the m12 element of the right matrix

r13 - the m13 element of the right matrix

r20 - the m20 element of the right matrix

r21 - the m21 element of the right matrix

r22 - the m22 element of the right matrix

r23 - the m23 element of the right matrix

r30 - the m30 element of the right matrix

r31 - the m31 element of the right matrix

r32 - the m32 element of the right matrix

r33 - the m33 element of the right matrix

Returns:

this

mul

public Matrix4f mul(float r00,
 float r01,
 float r02,
 float r03,
 float r10,
 float r11,
 float r12,
 float r13,
 float r20,
 float r21,
 float r22,
 float r23,
 float r30,
 float r31,
 float r32,
 float r33,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the matrix with the supplied elements and store the result in dest.

If M is this matrix and R the right matrix whose elements are supplied via the parameters, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4fc

Parameters:

r00 - the m00 element of the right matrix

r01 - the m01 element of the right matrix

r02 - the m02 element of the right matrix

r03 - the m03 element of the right matrix

r10 - the m10 element of the right matrix

r11 - the m11 element of the right matrix

r12 - the m12 element of the right matrix

r13 - the m13 element of the right matrix

r20 - the m20 element of the right matrix

r21 - the m21 element of the right matrix

r22 - the m22 element of the right matrix

r23 - the m23 element of the right matrix

r30 - the m30 element of the right matrix

r31 - the m31 element of the right matrix

r32 - the m32 element of the right matrix

r33 - the m33 element of the right matrix

dest - the destination matrix, which will hold the result

Returns:

dest

mul3x3

public Matrix4f mul3x3(float r00,
 float r01,
 float r02,
 float r10,
 float r11,
 float r12,
 float r20,
 float r21,
 float r22)

Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity.

If M is this matrix and R the right matrix whose elements are supplied via the parameters, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

r00 - the m00 element of the right matrix

r01 - the m01 element of the right matrix

r02 - the m02 element of the right matrix

r10 - the m10 element of the right matrix

r11 - the m11 element of the right matrix

r12 - the m12 element of the right matrix

r20 - the m20 element of the right matrix

r21 - the m21 element of the right matrix

r22 - the m22 element of the right matrix

Returns:

this

mul3x3

public Matrix4f mul3x3(float r00,
 float r01,
 float r02,
 float r10,
 float r11,
 float r12,
 float r20,
 float r21,
 float r22,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity, and store the result in dest.

If M is this matrix and R the right matrix whose elements are supplied via the parameters, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul3x3 in interface Matrix4fc

Parameters:

r00 - the m00 element of the right matrix

r01 - the m01 element of the right matrix

r02 - the m02 element of the right matrix

r10 - the m10 element of the right matrix

r11 - the m11 element of the right matrix

r12 - the m12 element of the right matrix

r20 - the m20 element of the right matrix

r21 - the m21 element of the right matrix

r22 - the m22 element of the right matrix

dest - the destination matrix, which will hold the result

Returns:

this

mulLocal

public Matrix4f mulLocal(Matrix4fc left)

Pre-multiply this matrix by the supplied left matrix and store the result in this.

If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!

Parameters:

left - the left operand of the matrix multiplication

Returns:

this

mulLocal

public Matrix4f mulLocal(Matrix4fc left,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply this matrix by the supplied left matrix and store the result in dest.

If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!

Specified by:

mulLocal in interface Matrix4fc

Parameters:

left - the left operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulLocalAffine

public Matrix4f mulLocalAffine(Matrix4fc left)

Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in this.

This method assumes that this matrix and the given left matrix both represent an affine transformation (i.e. their last rows are equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).

This method will not modify either the last row of this or the last row of left.

If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!

Parameters:

left - the left operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

Returns:

this

mulLocalAffine

public Matrix4f mulLocalAffine(Matrix4fc left,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in dest.

This method assumes that this matrix and the given left matrix both represent an affine transformation (i.e. their last rows are equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).

This method will not modify either the last row of this or the last row of left.

If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!

Specified by:

mulLocalAffine in interface Matrix4fc

Parameters:

left - the left operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

dest - the destination matrix, which will hold the result

Returns:

dest

mul

public Matrix4f mul(Matrix4x3fc right)

Multiply this matrix by the supplied right matrix and store the result in this.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the matrix multiplication

Returns:

this

mul

public Matrix4f mul(Matrix4x3fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix and store the result in dest.

The last row of the right matrix is assumed to be (0, 0, 0, 1).

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mul

public Matrix4f mul(Matrix3x2fc right)

Multiply this matrix by the supplied right matrix and store the result in this.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the matrix multiplication

Returns:

this

mul

public Matrix4f mul(Matrix3x2fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix and store the result in dest.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulPerspectiveAffine

public Matrix4f mulPerspectiveAffine(Matrix4fc view)

Multiply this symmetric perspective projection matrix by the supplied affine view matrix.

If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!

Parameters:

view - the affine matrix to multiply this symmetric perspective projection matrix by

Returns:

this

mulPerspectiveAffine

public Matrix4f mulPerspectiveAffine(Matrix4fc view,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this symmetric perspective projection matrix by the supplied affine view matrix and store the result in dest.

If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!

Specified by:

mulPerspectiveAffine in interface Matrix4fc

Parameters:

view - the affine matrix to multiply this symmetric perspective projection matrix by

dest - the destination matrix, which will hold the result

Returns:

dest

mulPerspectiveAffine

public Matrix4f mulPerspectiveAffine(Matrix4x3fc view)

Multiply this symmetric perspective projection matrix by the supplied view matrix.

If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!

Parameters:

view - the matrix to multiply this symmetric perspective projection matrix by

Returns:

this

mulPerspectiveAffine

public Matrix4f mulPerspectiveAffine(Matrix4x3fc view,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this symmetric perspective projection matrix by the supplied view matrix and store the result in dest.

If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!

Specified by:

mulPerspectiveAffine in interface Matrix4fc

Parameters:

view - the matrix to multiply this symmetric perspective projection matrix by

dest - the destination matrix, which will hold the result

Returns:

dest

mulAffineR

public Matrix4f mulAffineR(Matrix4fc right)

Multiply this matrix by the supplied right matrix, which is assumed to be affine, and store the result in this.

This method assumes that the given right matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

Returns:

this

mulAffineR

public Matrix4f mulAffineR(Matrix4fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix, which is assumed to be affine, and store the result in dest.

This method assumes that the given right matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mulAffineR in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

dest - the destination matrix, which will hold the result

Returns:

dest

mulAffine

public Matrix4f mulAffine(Matrix4fc right)

Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, and store the result in this.

This method assumes that this matrix and the given right matrix both represent an affine transformation (i.e. their last rows are equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).

This method will not modify either the last row of this or the last row of right.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

Returns:

this

mulAffine

public Matrix4f mulAffine(Matrix4fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, and store the result in dest.

This method assumes that this matrix and the given right matrix both represent an affine transformation (i.e. their last rows are equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).

This method will not modify either the last row of this or the last row of right.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mulAffine in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

dest - the destination matrix, which will hold the result

Returns:

dest

mulTranslationAffine

public Matrix4f mulTranslationAffine(Matrix4fc right,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix, which is assumed to be affine, and store the result in dest.

This method assumes that this matrix only contains a translation, and that the given right matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).

This method will not modify either the last row of this or the last row of right.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mulTranslationAffine in interface Matrix4fc

Parameters:

right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))

dest - the destination matrix, which will hold the result

Returns:

dest

mulOrthoAffine

public Matrix4f mulOrthoAffine(Matrix4fc view)

Multiply this orthographic projection matrix by the supplied affine view matrix.

If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!

Parameters:

view - the affine matrix which to multiply this with

Returns:

this

mulOrthoAffine

public Matrix4f mulOrthoAffine(Matrix4fc view,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this orthographic projection matrix by the supplied affine view matrix and store the result in dest.

If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!

Specified by:

mulOrthoAffine in interface Matrix4fc

Parameters:

view - the affine matrix which to multiply this with

dest - the destination matrix, which will hold the result

Returns:

dest

fma4x3

public Matrix4f fma4x3(Matrix4fc other,
 float otherFactor)

Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor and adding that result to this.

The matrix other will not be changed.

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's 4x3 components

Returns:

this

fma4x3

public Matrix4f fma4x3(Matrix4fc other,
 float otherFactor,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor, adding that to this and storing the final result in dest.

The other components of dest will be set to the ones of this.

The matrices this and other will not be changed.

Specified by:

fma4x3 in interface Matrix4fc

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's 4x3 components

dest - will hold the result

Returns:

dest

add

public Matrix4f add(Matrix4fc other)

Component-wise add this and other.

Parameters:

other - the other addend

Returns:

this

add

public Matrix4f add(Matrix4fc other,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise add this and other and store the result in dest.

Specified by:

add in interface Matrix4fc

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

sub

public Matrix4f sub(Matrix4fc subtrahend)

Component-wise subtract subtrahend from this.

Parameters:

subtrahend - the subtrahend

Returns:

this

sub

public Matrix4f sub(Matrix4fc subtrahend,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise subtract subtrahend from this and store the result in dest.

Specified by:

sub in interface Matrix4fc

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

mulComponentWise

public Matrix4f mulComponentWise(Matrix4fc other)

Component-wise multiply this by other.

Parameters:

other - the other matrix

Returns:

this

mulComponentWise

public Matrix4f mulComponentWise(Matrix4fc other,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise multiply this by other and store the result in dest.

Specified by:

mulComponentWise in interface Matrix4fc

Parameters:

other - the other matrix

dest - will hold the result

Returns:

dest

add4x3

public Matrix4f add4x3(Matrix4fc other)

Component-wise add the upper 4x3 submatrices of this and other.

Parameters:

other - the other addend

Returns:

this

add4x3

public Matrix4f add4x3(Matrix4fc other,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise add the upper 4x3 submatrices of this and other and store the result in dest.

The other components of dest will be set to the ones of this.

Specified by:

add4x3 in interface Matrix4fc

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

sub4x3

public Matrix4f sub4x3(Matrix4f subtrahend)

Component-wise subtract the upper 4x3 submatrices of subtrahend from this.

Parameters:

subtrahend - the subtrahend

Returns:

this

sub4x3

public Matrix4f sub4x3(Matrix4fc subtrahend,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise subtract the upper 4x3 submatrices of subtrahend from this and store the result in dest.

The other components of dest will be set to the ones of this.

Specified by:

sub4x3 in interface Matrix4fc

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

mul4x3ComponentWise

public Matrix4f mul4x3ComponentWise(Matrix4fc other)

Component-wise multiply the upper 4x3 submatrices of this by other.

Parameters:

other - the other matrix

Returns:

this

mul4x3ComponentWise

public Matrix4f mul4x3ComponentWise(Matrix4fc other,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Component-wise multiply the upper 4x3 submatrices of this by other and store the result in dest.

The other components of dest will be set to the ones of this.

Specified by:

mul4x3ComponentWise in interface Matrix4fc

Parameters:

other - the other matrix

dest - will hold the result

Returns:

dest

set

public Matrix4f 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 values within this matrix to the supplied float values. The matrix will look like this:

m00, m10, m20, m30
m01, m11, m21, m31
m02, m12, m22, m32
m03, m13, m23, m33

Parameters:

m00 - the new value of m00

m01 - the new value of m01

m02 - the new value of m02

m03 - the new value of m03

m10 - the new value of m10

m11 - the new value of m11

m12 - the new value of m12

m13 - the new value of m13

m20 - the new value of m20

m21 - the new value of m21

m22 - the new value of m22

m23 - the new value of m23

m30 - the new value of m30

m31 - the new value of m31

m32 - the new value of m32

m33 - the new value of m33

Returns:

this

set

public Matrix4f set(float[] m,
 int off)

Set the values in the matrix using a float array that contains the matrix elements in column-major order.

The results will look like this:

0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15

Parameters:

m - the array to read the matrix values from

off - the offset into the array

Returns:

this

See Also:

• set(float[])

set

public Matrix4f set(float[] m)

Set the values in the matrix using a float array that contains the matrix elements in column-major order.

The results will look like this:

0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15

Parameters:

m - the array to read the matrix values from

Returns:

this

See Also:

• set(float[], int)

setTransposed

public Matrix4f setTransposed(float[] m,
 int off)

Set the values in the matrix using a float array that contains the matrix elements in row-major order.

The results will look like this:

0, 1, 2, 3
4, 5, 6, 7
8, 9, 10, 11
12, 13, 14, 15

Parameters:

m - the array to read the matrix values from

off - the offset into the array

Returns:

this

See Also:

• setTransposed(float[])

setTransposed

public Matrix4f setTransposed(float[] m)

Set the values in the matrix using a float array that contains the matrix elements in row-major order.

The results will look like this:

0, 1, 2, 3
4, 5, 6, 7
8, 9, 10, 11
12, 13, 14, 15

Parameters:

m - the array to read the matrix values from

Returns:

this

See Also:

• setTransposed(float[], int)

set

public Matrix4f set(FloatBuffer buffer)

Set the values of this matrix by reading 16 float values from the given FloatBuffer in column-major order, starting at its current position.

The FloatBuffer is expected to contain the values in column-major order.

The position of the FloatBuffer will not be changed by this method.

Parameters:

buffer - the FloatBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4f set(ByteBuffer buffer)

Set the values of this matrix by reading 16 float values from the given ByteBuffer in column-major order, starting at its current position.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4f set(int index,
 FloatBuffer buffer)

Set the values of this matrix by reading 16 float values from the given FloatBuffer in column-major order, starting at the specified absolute buffer position/index.

The FloatBuffer is expected to contain the values in column-major order.

The position of the FloatBuffer will not be changed by this method.

Parameters:

index - the absolute position into the FloatBuffer

buffer - the FloatBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4f set(int index,
 ByteBuffer buffer)

Set the values of this matrix by reading 16 float values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

index - the absolute position into the ByteBuffer

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

setTransposed

public Matrix4f setTransposed(FloatBuffer buffer)

Set the values of this matrix by reading 16 float values from the given FloatBuffer in row-major order, starting at its current position.

The FloatBuffer is expected to contain the values in row-major order.

The position of the FloatBuffer will not be changed by this method.

Parameters:

buffer - the FloatBuffer to read the matrix values from in row-major order

Returns:

this

setTransposed

public Matrix4f setTransposed(ByteBuffer buffer)

Set the values of this matrix by reading 16 float values from the given ByteBuffer in row-major order, starting at its current position.

The ByteBuffer is expected to contain the values in row-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

buffer - the ByteBuffer to read the matrix values from in row-major order

Returns:

this

setFromAddress

public Matrix4f setFromAddress(long address)

Set the values of this matrix by reading 16 float values from off-heap memory in column-major order, starting at the given address.

This method will throw an UnsupportedOperationException when JOML is used with `-Djoml.nounsafe`.

This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.

Parameters:

address - the off-heap memory address to read the matrix values from in column-major order

Returns:

this

setTransposedFromAddress

public Matrix4f setTransposedFromAddress(long address)

Set the values of this matrix by reading 16 float values from off-heap memory in row-major order, starting at the given address.

This method will throw an UnsupportedOperationException when JOML is used with `-Djoml.nounsafe`.

This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.

Parameters:

address - the off-heap memory address to read the matrix values from in row-major order

Returns:

this

set

public Matrix4f set(Vector4fc col0,
 Vector4fc col1,
 Vector4fc col2,
 Vector4fc col3)

Set the four columns of this matrix to the supplied vectors, respectively.

Parameters:

col0 - the first column

col1 - the second column

col2 - the third column

col3 - the fourth column

Returns:

this

determinant

public float determinant()

Description copied from interface: Matrix4fc

Return the determinant of this matrix.

If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then Matrix4fc.determinantAffine() can be used instead of this method.

Specified by:

determinant in interface Matrix4fc

Returns:

the determinant

See Also:

• Matrix4fc.determinantAffine()

determinant3x3

public float determinant3x3()

Description copied from interface: Matrix4fc

Return the determinant of the upper left 3x3 submatrix of this matrix.

Specified by:

determinant3x3 in interface Matrix4fc

Returns:

the determinant

determinantAffine

public float determinantAffine()

Description copied from interface: Matrix4fc

Return the determinant of this matrix by assuming that it represents an affine transformation and thus its last row is equal to (0, 0, 0, 1).

Specified by:

determinantAffine in interface Matrix4fc

Returns:

the determinant

invert

public Matrix4f invert(Matrix4f dest)

Description copied from interface: Matrix4fc

Invert this matrix and write the result into dest.

If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then Matrix4fc.invertAffine(Matrix4f) can be used instead of this method.

Specified by:

invert in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.invertAffine(Matrix4f)

invert

public Matrix4f invert()

Invert this matrix.

If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then invertAffine() can be used instead of this method.

Returns:

this

See Also:

• invertAffine()

invertPerspective

public Matrix4f invertPerspective(Matrix4f dest)

If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this and stores it into the given dest.

This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via perspective().

Specified by:

invertPerspective in interface Matrix4fc

Parameters:

dest - will hold the inverse of this

Returns:

dest

See Also:

• perspective(float, float, float, float)

invertPerspective

public Matrix4f invertPerspective()

If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this.

This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via perspective().

Returns:

this

See Also:

• perspective(float, float, float, float)

invertFrustum

public Matrix4f invertFrustum(Matrix4f dest)

If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods or via setFrustum(), then this method builds the inverse of this and stores it into the given dest.

This method can be used to quickly obtain the inverse of a perspective projection matrix.

If this matrix represents a symmetric perspective frustum transformation, as obtained via perspective(), then invertPerspective(Matrix4f) should be used instead.

Specified by:

invertFrustum in interface Matrix4fc

Parameters:

dest - will hold the inverse of this

Returns:

dest

See Also:

• frustum(float, float, float, float, float, float)
• invertPerspective(Matrix4f)

invertFrustum

public Matrix4f invertFrustum()

If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods or via setFrustum(), then this method builds the inverse of this.

This method can be used to quickly obtain the inverse of a perspective projection matrix.

If this matrix represents a symmetric perspective frustum transformation, as obtained via perspective(), then invertPerspective() should be used instead.

Returns:

this

See Also:

• frustum(float, float, float, float, float, float)
• invertPerspective()

invertOrtho

public Matrix4f invertOrtho(Matrix4f dest)

Description copied from interface: Matrix4fc

Invert this orthographic projection matrix and store the result into the given dest.

This method can be used to quickly obtain the inverse of an orthographic projection matrix.

Specified by:

invertOrtho in interface Matrix4fc

Parameters:

dest - will hold the inverse of this

Returns:

dest

invertOrtho

public Matrix4f invertOrtho()

Invert this orthographic projection matrix.

This method can be used to quickly obtain the inverse of an orthographic projection matrix.

Returns:

this

invertPerspectiveView

public Matrix4f invertPerspectiveView(Matrix4fc view,
 Matrix4f dest)

If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation and the given view matrix is affine and has unit scaling (for example by being obtained via lookAt()), then this method builds the inverse of this * view and stores it into the given dest.

This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods perspective() and lookAt() or other methods, that build affine matrices, such as translate and rotate(float, float, float, float), except for scale().

For the special cases of the matrices this and view mentioned above, this method is equivalent to the following code:

 dest.set(this).mul(view).invert();
 

Specified by:

invertPerspectiveView in interface Matrix4fc

Parameters:

view - the view transformation (must be affine and have unit scaling)

dest - will hold the inverse of this * view

Returns:

dest

invertPerspectiveView

public Matrix4f invertPerspectiveView(Matrix4x3fc view,
 Matrix4f dest)

If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation and the given view matrix has unit scaling, then this method builds the inverse of this * view and stores it into the given dest.

This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods perspective() and lookAt() or other methods, that build affine matrices, such as translate and rotate(float, float, float, float), except for scale().

For the special cases of the matrices this and view mentioned above, this method is equivalent to the following code:

 dest.set(this).mul(view).invert();
 

Specified by:

invertPerspectiveView in interface Matrix4fc

Parameters:

view - the view transformation (must have unit scaling)

dest - will hold the inverse of this * view

Returns:

dest

invertAffine

public Matrix4f invertAffine(Matrix4f dest)

Description copied from interface: Matrix4fc

Invert this matrix by assuming that it is an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and write the result into dest.

Specified by:

invertAffine in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

invertAffine

public Matrix4f invertAffine()

Invert this matrix by assuming that it is an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).

Returns:

this

transpose

public Matrix4f transpose(Matrix4f dest)

Description copied from interface: Matrix4fc

Transpose this matrix and store the result in dest.

Specified by:

transpose in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

transpose3x3

public Matrix4f transpose3x3()

Transpose only the upper left 3x3 submatrix of this matrix.

All other matrix elements are left unchanged.

Returns:

this

transpose3x3

public Matrix4f transpose3x3(Matrix4f dest)

Description copied from interface: Matrix4fc

Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.

All other matrix elements are left unchanged.

Specified by:

transpose3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

transpose3x3

public Matrix3f transpose3x3(Matrix3f dest)

Description copied from interface: Matrix4fc

Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.

Specified by:

transpose3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

transpose

public Matrix4f transpose()

Transpose this matrix.

Returns:

this

translation

public Matrix4f translation(float x,
 float y,
 float z)

Set this matrix to be a simple translation matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.

In order to post-multiply a translation transformation directly to a matrix, use translate() instead.

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translate(float, float, float)

translation

public Matrix4f translation(Vector3fc offset)

Set this matrix to be a simple translation matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.

In order to post-multiply a translation transformation directly to a matrix, use translate() instead.

Parameters:

offset - the offsets in x, y and z to translate

Returns:

this

See Also:

• translate(float, float, float)

setTranslation

public Matrix4f setTranslation(float x,
 float y,
 float z)

Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).

Note that this will only work properly for orthogonal matrices (without any perspective).

To build a translation matrix instead, use translation(float, float, float). To apply a translation, use translate(float, float, float).

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translation(float, float, float)
• translate(float, float, float)

setTranslation

public Matrix4f setTranslation(Vector3fc xyz)

Set only the translation components (m30, m31, m32) of this matrix to the values (xyz.x, xyz.y, xyz.z).

Note that this will only work properly for orthogonal matrices (without any perspective).

To build a translation matrix instead, use translation(Vector3fc). To apply a translation, use translate(Vector3fc).

Parameters:

xyz - the units to translate in (x, y, z)

Returns:

this

See Also:

• translation(Vector3fc)
• translate(Vector3fc)

getTranslation

public Vector3f getTranslation(Vector3f dest)

Description copied from interface: Matrix4fc

Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.

Specified by:

getTranslation in interface Matrix4fc

Parameters:

dest - will hold the translation components of this matrix

Returns:

dest

getScale

public Vector3f getScale(Vector3f dest)

Description copied from interface: Matrix4fc

Get the scaling factors of this matrix for the three base axes.

Specified by:

getScale in interface Matrix4fc

Parameters:

dest - will hold the scaling factors for x, y and z

Returns:

dest

toString

public String toString()

Return a string representation of this matrix.

This method creates a new DecimalFormat on every invocation with the format string "0.000E0;-".

Overrides:

toString in class Object

Returns:

the string representation

toString

public String toString(NumberFormat formatter)

Return a string representation of this matrix by formatting the matrix elements with the given NumberFormat.

Parameters:

formatter - the NumberFormat used to format the matrix values with

Returns:

the string representation

get

public Matrix4f get(Matrix4f dest)

Get the current values of this matrix and store them into dest.

This is the reverse method of set(Matrix4fc) and allows to obtain intermediate calculation results when chaining multiple transformations.

Specified by:

get in interface Matrix4fc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• set(Matrix4fc)

get4x3

public Matrix4x3f get4x3(Matrix4x3f dest)

Description copied from interface: Matrix4fc

Get the current values of the upper 4x3 submatrix of this matrix and store them into dest.

Specified by:

get4x3 in interface Matrix4fc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• Matrix4x3f.set(Matrix4fc)

get

public Matrix4d get(Matrix4d dest)

Get the current values of this matrix and store them into dest.

This is the reverse method of set(Matrix4dc) and allows to obtain intermediate calculation results when chaining multiple transformations.

Specified by:

get in interface Matrix4fc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• set(Matrix4dc)

get3x3

public Matrix3f get3x3(Matrix3f dest)

Description copied from interface: Matrix4fc

Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.

Specified by:

get3x3 in interface Matrix4fc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• Matrix3f.set(Matrix4fc)

get3x3

public Matrix3d get3x3(Matrix3d dest)

Description copied from interface: Matrix4fc

Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.

Specified by:

get3x3 in interface Matrix4fc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• Matrix3d.set(Matrix4fc)

getRotation

public AxisAngle4f getRotation(AxisAngle4f dest)

Description copied from interface: Matrix4fc

Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4f.

Specified by:

getRotation in interface Matrix4fc

Parameters:

dest - the destination AxisAngle4f

Returns:

the passed in destination

See Also:

• AxisAngle4f.set(Matrix4fc)

getRotation

public AxisAngle4d getRotation(AxisAngle4d dest)

Description copied from interface: Matrix4fc

Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4d.

Specified by:

getRotation in interface Matrix4fc

Parameters:

dest - the destination AxisAngle4d

Returns:

the passed in destination

See Also:

• AxisAngle4f.set(Matrix4fc)

getUnnormalizedRotation

public Quaternionf getUnnormalizedRotation(Quaternionf dest)

Description copied from interface: Matrix4fc

Get the current values of this matrix and store the represented rotation into the given Quaternionf.

This method assumes that the first three column vectors of the upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Specified by:

getUnnormalizedRotation in interface Matrix4fc

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromUnnormalized(Matrix4fc)

getNormalizedRotation

public Quaternionf getNormalizedRotation(Quaternionf dest)

Description copied from interface: Matrix4fc

Get the current values of this matrix and store the represented rotation into the given Quaternionf.

This method assumes that the first three column vectors of the upper left 3x3 submatrix are normalized.

Specified by:

getNormalizedRotation in interface Matrix4fc

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromNormalized(Matrix4fc)

getUnnormalizedRotation

public Quaterniond getUnnormalizedRotation(Quaterniond dest)

Description copied from interface: Matrix4fc

Get the current values of this matrix and store the represented rotation into the given Quaterniond.

This method assumes that the first three column vectors of the upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Specified by:

getUnnormalizedRotation in interface Matrix4fc

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromUnnormalized(Matrix4fc)

getNormalizedRotation

public Quaterniond getNormalizedRotation(Quaterniond dest)

Description copied from interface: Matrix4fc

Get the current values of this matrix and store the represented rotation into the given Quaterniond.

This method assumes that the first three column vectors of the upper left 3x3 submatrix are normalized.

Specified by:

getNormalizedRotation in interface Matrix4fc

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromNormalized(Matrix4fc)

get

public com.google.gwt.typedarrays.shared.Float32Array get(com.google.gwt.typedarrays.shared.Float32Array buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied Float32Array.

Specified by:

get in interface Matrix4fc

Parameters:

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get

public com.google.gwt.typedarrays.shared.Float32Array get(int index,
 com.google.gwt.typedarrays.shared.Float32Array buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied Float32Array at the given index.

Specified by:

get in interface Matrix4fc

Parameters:

index - the index at which to store this matrix in the supplied Float32Array

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get

public FloatBuffer get(FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4fc.get(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

get in interface Matrix4fc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get(int, FloatBuffer)

get

public FloatBuffer get(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Specified by:

get in interface Matrix4fc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get

public ByteBuffer get(ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4fc.get(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get in interface Matrix4fc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get(int, ByteBuffer)

get

public ByteBuffer get(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

get in interface Matrix4fc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get4x3

public FloatBuffer get4x3(FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix in column-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4fc.get(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

get4x3 in interface Matrix4fc

Parameters:

buffer - will receive the values of the upper 4x3 submatrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get(int, FloatBuffer)

get4x3

public FloatBuffer get4x3(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Specified by:

get4x3 in interface Matrix4fc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of the upper 4x3 submatrix in column-major order

Returns:

the passed in buffer

get4x3

public ByteBuffer get4x3(ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4fc.get(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get4x3 in interface Matrix4fc

Parameters:

buffer - will receive the values of the upper 4x3 submatrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get(int, ByteBuffer)

get4x3

public ByteBuffer get4x3(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

get4x3 in interface Matrix4fc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of the upper 4x3 submatrix in column-major order

Returns:

the passed in buffer

get3x4

public FloatBuffer get3x4(FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the left 3x4 submatrix in column-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4fc.get3x4(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

get3x4 in interface Matrix4fc

Parameters:

buffer - will receive the values of the left 3x4 submatrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get3x4(int, FloatBuffer)

get3x4

public FloatBuffer get3x4(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the left 3x4 submatrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Specified by:

get3x4 in interface Matrix4fc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of the left 3x4 submatrix in column-major order

Returns:

the passed in buffer

get3x4

public ByteBuffer get3x4(ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the left 3x4 submatrix in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4fc.get3x4(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get3x4 in interface Matrix4fc

Parameters:

buffer - will receive the values of the left 3x4 submatrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get3x4(int, ByteBuffer)

get3x4

public ByteBuffer get3x4(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the left 3x4 submatrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

get3x4 in interface Matrix4fc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of the left 3x4 submatrix in column-major order

Returns:

the passed in buffer

getTransposed

public FloatBuffer getTransposed(FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the transpose of this matrix in column-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4fc.getTransposed(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

getTransposed in interface Matrix4fc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.getTransposed(int, FloatBuffer)

getTransposed

public FloatBuffer getTransposed(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the transpose of this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Specified by:

getTransposed in interface Matrix4fc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

getTransposed

public ByteBuffer getTransposed(ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the transpose of this matrix in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4fc.getTransposed(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

getTransposed in interface Matrix4fc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.getTransposed(int, ByteBuffer)

getTransposed

public ByteBuffer getTransposed(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the transpose of this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

getTransposed in interface Matrix4fc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get4x3Transposed

public FloatBuffer get4x3Transposed(FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix of this matrix in row-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4fc.get4x3Transposed(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

get4x3Transposed in interface Matrix4fc

Parameters:

buffer - will receive the values of the upper 4x3 submatrix in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get4x3Transposed(int, FloatBuffer)

get4x3Transposed

public FloatBuffer get4x3Transposed(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix of this matrix in row-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Specified by:

get4x3Transposed in interface Matrix4fc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of the upper 4x3 submatrix in row-major order

Returns:

the passed in buffer

get4x3Transposed

public ByteBuffer get4x3Transposed(ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4fc.get4x3Transposed(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get4x3Transposed in interface Matrix4fc

Parameters:

buffer - will receive the values of the upper 4x3 submatrix in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4fc.get4x3Transposed(int, ByteBuffer)

get4x3Transposed

public ByteBuffer get4x3Transposed(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4fc

Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

get4x3Transposed in interface Matrix4fc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of the upper 4x3 submatrix in row-major order

Returns:

the passed in buffer

getToAddress

public Matrix4fc getToAddress(long address)

Description copied from interface: Matrix4fc

Store this matrix in column-major order at the given off-heap address.

This method will throw an UnsupportedOperationException when JOML is used with `-Djoml.nounsafe`.

This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.

Specified by:

getToAddress in interface Matrix4fc

Parameters:

address - the off-heap address where to store this matrix

Returns:

this

get

public float[] get(float[] arr,
 int offset)

Description copied from interface: Matrix4fc

Store this matrix into the supplied float array in column-major order at the given offset.

Specified by:

get in interface Matrix4fc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

public float[] get(float[] arr)

Description copied from interface: Matrix4fc

Store this matrix into the supplied float array in column-major order.

In order to specify an explicit offset into the array, use the method Matrix4fc.get(float[], int).

Specified by:

get in interface Matrix4fc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4fc.get(float[], int)

zero

public Matrix4f zero()

Set all the values within this matrix to 0.

Returns:

this

scaling

public Matrix4f scaling(float factor)

Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.

In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.

Parameters:

factor - the scale factor in x, y and z

Returns:

this

See Also:

• scale(float)

scaling

public Matrix4f scaling(float x,
 float y,
 float z)

Set this matrix to be a simple scale matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.

In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.

Parameters:

x - the scale in x

y - the scale in y

z - the scale in z

Returns:

this

See Also:

• scale(float, float, float)

scaling

public Matrix4f scaling(Vector3fc xyz)

Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z respectively.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.

In order to post-multiply a scaling transformation directly to a matrix use scale() instead.

Parameters:

xyz - the scale in x, y and z respectively

Returns:

this

See Also:

• scale(Vector3fc)

rotation

public Matrix4f rotation(float angle,
 Vector3fc axis)

Set this matrix to a rotation matrix which rotates the given radians about a given axis.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to post-multiply a rotation transformation directly to a matrix, use rotate() instead.

Parameters:

angle - the angle in radians

axis - the axis to rotate about (needs to be normalized)

Returns:

this

See Also:

• rotate(float, Vector3fc)

rotation

public Matrix4f rotation(AxisAngle4f axisAngle)

Set this matrix to a rotation transformation using the given AxisAngle4f.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

Returns:

this

See Also:

• rotate(AxisAngle4f)

rotation

public Matrix4f rotation(float angle,
 float x,
 float y,
 float z)

Set this matrix to a rotation matrix which rotates the given radians about a given axis.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

angle - the angle in radians

x - the x-component of the rotation axis

y - the y-component of the rotation axis

z - the z-component of the rotation axis

Returns:

this

See Also:

• rotate(float, float, float, float)

rotationX

public Matrix4f rotationX(float ang)

Set this matrix to a rotation transformation about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationY

public Matrix4f rotationY(float ang)

Set this matrix to a rotation transformation about the Y axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationZ

public Matrix4f rotationZ(float ang)

Set this matrix to a rotation transformation about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationTowardsXY

public Matrix4f rotationTowardsXY(float dirX,
 float dirY)

Set this matrix to a rotation transformation about the Z axis to align the local +X towards (dirX, dirY).

The vector (dirX, dirY) must be a unit vector.

Parameters:

dirX - the x component of the normalized direction

dirY - the y component of the normalized direction

Returns:

this

rotationXYZ

public Matrix4f rotationXYZ(float angleX,
 float angleY,
 float angleZ)

Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationX(angleX).rotateY(angleY).rotateZ(angleZ)

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

rotationZYX

public Matrix4f rotationZYX(float angleZ,
 float angleY,
 float angleX)

Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationZ(angleZ).rotateY(angleY).rotateX(angleX)

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

rotationYXZ

public Matrix4f rotationYXZ(float angleY,
 float angleX,
 float angleZ)

Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationY(angleY).rotateX(angleX).rotateZ(angleZ)

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

setRotationXYZ

public Matrix4f setRotationXYZ(float angleX,
 float angleY,
 float angleZ)

Set only the upper left 3x3 submatrix of this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

setRotationZYX

public Matrix4f setRotationZYX(float angleZ,
 float angleY,
 float angleX)

Set only the upper left 3x3 submatrix of this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

setRotationYXZ

public Matrix4f setRotationYXZ(float angleY,
 float angleX,
 float angleZ)

Set only the upper left 3x3 submatrix of this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

rotation

public Matrix4f rotation(Quaternionfc quat)

Set this matrix to the rotation transformation of the given Quaternionfc.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotate(Quaternionfc)

translationRotateScale

public Matrix4f translationRotateScale(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw,
 float sx,
 float sy,
 float sz)

Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

sx - the scaling factor for the x-axis

sy - the scaling factor for the y-axis

sz - the scaling factor for the z-axis

Returns:

this

See Also:

• translation(float, float, float)
• rotate(Quaternionfc)
• scale(float, float, float)

translationRotateScale

public Matrix4f translationRotateScale(Vector3fc translation,
 Quaternionfc quat,
 Vector3fc scale)

Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translation(Vector3fc)
• rotate(Quaternionfc)
• scale(Vector3fc)

translationRotateScale

public Matrix4f translationRotateScale(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw,
 float scale)

Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales all three axes by scale.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(scale)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

scale - the scaling factor for all three axes

Returns:

this

See Also:

• translation(float, float, float)
• rotate(Quaternionfc)
• scale(float)

translationRotateScale

public Matrix4f translationRotateScale(Vector3fc translation,
 Quaternionfc quat,
 float scale)

Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translation(Vector3fc)
• rotate(Quaternionfc)
• scale(float)

translationRotateScaleInvert

public Matrix4f translationRotateScaleInvert(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw,
 float sx,
 float sy,
 float sz)

Set this matrix to (T * R * S)-1, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).

This method is equivalent to calling: translationRotateScale(...).invert()

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

sx - the scaling factor for the x-axis

sy - the scaling factor for the y-axis

sz - the scaling factor for the z-axis

Returns:

this

See Also:

• translationRotateScale(float, float, float, float, float, float, float, float, float, float)
• invert()

translationRotateScaleInvert

public Matrix4f translationRotateScaleInvert(Vector3fc translation,
 Quaternionfc quat,
 Vector3fc scale)

Set this matrix to (T * R * S)-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.

This method is equivalent to calling: translationRotateScale(...).invert()

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translationRotateScale(Vector3fc, Quaternionfc, Vector3fc)
• invert()

translationRotateScaleInvert

public Matrix4f translationRotateScaleInvert(Vector3fc translation,
 Quaternionfc quat,
 float scale)

Set this matrix to (T * R * S)-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.

This method is equivalent to calling: translationRotateScale(...).invert()

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translationRotateScale(Vector3fc, Quaternionfc, float)
• invert()

translationRotateScaleMulAffine

public Matrix4f translationRotateScaleMulAffine(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw,
 float sx,
 float sy,
 float sz,
 Matrix4f m)

Set this matrix to T * R * S * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw), S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz) and M is an affine matrix.

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz).mulAffine(m)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

sx - the scaling factor for the x-axis

sy - the scaling factor for the y-axis

sz - the scaling factor for the z-axis

m - the affine matrix to multiply by

Returns:

this

See Also:

• translation(float, float, float)
• rotate(Quaternionfc)
• scale(float, float, float)
• mulAffine(Matrix4fc)

translationRotateScaleMulAffine

public Matrix4f translationRotateScaleMulAffine(Vector3fc translation,
 Quaternionfc quat,
 Vector3fc scale,
 Matrix4f m)

Set this matrix to T * R * S * M, where T is the given translation, R is a rotation - and possibly scaling - transformation specified by the given quaternion, S is a scaling transformation which scales the axes by scale and M is an affine matrix.

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale).mulAffine(m)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

m - the affine matrix to multiply by

Returns:

this

See Also:

• translation(Vector3fc)
• rotate(Quaternionfc)
• mulAffine(Matrix4fc)

translationRotate

public Matrix4f translationRotate(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw)

Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw).

When transforming a vector by the resulting matrix the rotation - and possibly scaling - transformation will be applied first and then the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

Returns:

this

See Also:

• translation(float, float, float)
• rotate(Quaternionfc)

translationRotate

public Matrix4f translationRotate(float tx,
 float ty,
 float tz,
 Quaternionfc quat)

Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the given quaternion.

When transforming a vector by the resulting matrix the rotation - and possibly scaling - transformation will be applied first and then the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translation(float, float, float)
• rotate(Quaternionfc)

translationRotate

public Matrix4f translationRotate(Vector3fc translation,
 Quaternionfc quat)

Set this matrix to T * R, where T is the given translation and R is a rotation transformation specified by the given quaternion.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translation(Vector3fc)
• rotate(Quaternionfc)

translationRotateInvert

public Matrix4f translationRotateInvert(float tx,
 float ty,
 float tz,
 float qx,
 float qy,
 float qz,
 float qw)

Set this matrix to (T * R)-1, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the quaternion (qx, qy, qz, qw).

This method is equivalent to calling: translationRotate(...).invert()

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

Returns:

this

See Also:

• translationRotate(float, float, float, float, float, float, float)
• invert()

translationRotateInvert

public Matrix4f translationRotateInvert(Vector3fc translation,
 Quaternionfc quat)

Set this matrix to (T * R)-1, where T is the given translation and R is a rotation transformation specified by the given quaternion.

This method is equivalent to calling: translationRotate(...).invert()

Parameters:

translation - the translation

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translationRotate(Vector3fc, Quaternionfc)
• invert()

set3x3

public Matrix4f set3x3(Matrix3fc mat)

Set the upper left 3x3 submatrix of this Matrix4f to the given Matrix3fc and don't change the other elements.

Parameters:

mat - the 3x3 matrix

Returns:

this

transform

public Vector4f transform(Vector4f v)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix and store the result in that vector.

Specified by:

transform in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Vector4f.mul(Matrix4fc)

transform

public Vector4f transform(Vector4fc v,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix and store the result in dest.

Specified by:

transform in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4f.mul(Matrix4fc, Vector4f)

transform

public Vector4f transform(float x,
 float y,
 float z,
 float w,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the vector (x, y, z, w) by this matrix and store the result in dest.

Specified by:

transform in interface Matrix4fc

Parameters:

x - the x coordinate of the vector to transform

y - the y coordinate of the vector to transform

z - the z coordinate of the vector to transform

w - the w coordinate of the vector to transform

dest - will contain the result

Returns:

dest

transformTranspose

public Vector4f transformTranspose(Vector4f v)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by the transpose of this matrix and store the result in that vector.

Specified by:

transformTranspose in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Vector4f.mulTranspose(Matrix4fc)

transformTranspose

public Vector4f transformTranspose(Vector4fc v,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by the transpose of this matrix and store the result in dest.

Specified by:

transformTranspose in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4f.mulTranspose(Matrix4fc, Vector4f)

transformTranspose

public Vector4f transformTranspose(float x,
 float y,
 float z,
 float w,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the vector (x, y, z, w) by the transpose of this matrix and store the result in dest.

Specified by:

transformTranspose in interface Matrix4fc

Parameters:

x - the x coordinate of the vector to transform

y - the y coordinate of the vector to transform

z - the z coordinate of the vector to transform

w - the w coordinate of the vector to transform

dest - will contain the result

Returns:

dest

transformProject

public Vector4f transformProject(Vector4f v)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.

Specified by:

transformProject in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Vector4f.mulProject(Matrix4fc)

transformProject

public Vector4f transformProject(Vector4fc v,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.

Specified by:

transformProject in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4f.mulProject(Matrix4fc, Vector4f)

transformProject

public Vector4f transformProject(float x,
 float y,
 float z,
 float w,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the vector (x, y, z, w) by this matrix, perform perspective divide and store the result in dest.

Specified by:

transformProject in interface Matrix4fc

Parameters:

x - the x coordinate of the vector to transform

y - the y coordinate of the vector to transform

z - the z coordinate of the vector to transform

w - the w coordinate of the vector to transform

dest - will contain the result

Returns:

dest

transformProject

public Vector3f transformProject(Vector4fc v,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.

Specified by:

transformProject in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will contain the (x, y, z) components of the result

Returns:

dest

See Also:

• Vector4f.mulProject(Matrix4fc, Vector4f)

transformProject

public Vector3f transformProject(float x,
 float y,
 float z,
 float w,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the vector (x, y, z, w) by this matrix, perform perspective divide and store (x, y, z) of the result in dest.

Specified by:

transformProject in interface Matrix4fc

Parameters:

x - the x coordinate of the vector to transform

y - the y coordinate of the vector to transform

z - the z coordinate of the vector to transform

w - the w coordinate of the vector to transform

dest - will contain the (x, y, z) components of the result

Returns:

dest

transformProject

public Vector3f transformProject(Vector3f v)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.

This method uses w=1.0 as the fourth vector component.

Specified by:

transformProject in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Vector3f.mulProject(Matrix4fc)

transformProject

public Vector3f transformProject(Vector3fc v,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.

This method uses w=1.0 as the fourth vector component.

Specified by:

transformProject in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector3f.mulProject(Matrix4fc, Vector3f)

transformProject

public Vector3f transformProject(float x,
 float y,
 float z,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the vector (x, y, z) by this matrix, perform perspective divide and store the result in dest.

This method uses w=1.0 as the fourth vector component.

Specified by:

transformProject in interface Matrix4fc

Parameters:

x - the x coordinate of the vector to transform

y - the y coordinate of the vector to transform

z - the z coordinate of the vector to transform

dest - will contain the result

Returns:

dest

transformPosition

public Vector3f transformPosition(Vector3f v)

Description copied from interface: Matrix4fc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.

The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction. This method is therefore not suited for perspective projection transformations as it will not save the w component of the transformed vector. For perspective projection use Matrix4fc.transform(Vector4f) or Matrix4fc.transformProject(Vector3f) when perspective divide should be applied, too.

In order to store the result in another vector, use Matrix4fc.transformPosition(Vector3fc, Vector3f).

Specified by:

transformPosition in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Matrix4fc.transformPosition(Vector3fc, Vector3f)
• Matrix4fc.transform(Vector4f)
• Matrix4fc.transformProject(Vector3f)

transformPosition

public Vector3f transformPosition(Vector3fc v,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction. This method is therefore not suited for perspective projection transformations as it will not save the w component of the transformed vector. For perspective projection use Matrix4fc.transform(Vector4fc, Vector4f) or Matrix4fc.transformProject(Vector3fc, Vector3f) when perspective divide should be applied, too.

In order to store the result in the same vector, use Matrix4fc.transformPosition(Vector3f).

Specified by:

transformPosition in interface Matrix4fc

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.transformPosition(Vector3f)
• Matrix4fc.transform(Vector4fc, Vector4f)
• Matrix4fc.transformProject(Vector3fc, Vector3f)

transformPosition

public Vector3f transformPosition(float x,
 float y,
 float z,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the 3D-vector (x, y, z), as if it was a 4D-vector with w=1, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction. This method is therefore not suited for perspective projection transformations as it will not save the w component of the transformed vector. For perspective projection use Matrix4fc.transform(float, float, float, float, Vector4f) or Matrix4fc.transformProject(float, float, float, Vector3f) when perspective divide should be applied, too.

Specified by:

transformPosition in interface Matrix4fc

Parameters:

x - the x coordinate of the position

y - the y coordinate of the position

z - the z coordinate of the position

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.transform(float, float, float, float, Vector4f)
• Matrix4fc.transformProject(float, float, float, Vector3f)

transformDirection

public Vector3f transformDirection(Vector3f v)

Description copied from interface: Matrix4fc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.

The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.

In order to store the result in another vector, use Matrix4fc.transformDirection(Vector3fc, Vector3f).

Specified by:

transformDirection in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Matrix4fc.transformDirection(Vector3fc, Vector3f)

transformDirection

public Vector3f transformDirection(Vector3fc v,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.

In order to store the result in the same vector, use Matrix4fc.transformDirection(Vector3f).

Specified by:

transformDirection in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.transformDirection(Vector3f)

transformDirection

public Vector3f transformDirection(float x,
 float y,
 float z,
 Vector3f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given 3D-vector (x, y, z), as if it was a 4D-vector with w=0, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.

Specified by:

transformDirection in interface Matrix4fc

Parameters:

x - the x coordinate of the direction to transform

y - the y coordinate of the direction to transform

z - the z coordinate of the direction to transform

dest - will hold the result

Returns:

dest

transformAffine

public Vector4f transformAffine(Vector4f v)

Description copied from interface: Matrix4fc

Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).

In order to store the result in another vector, use Matrix4fc.transformAffine(Vector4fc, Vector4f).

Specified by:

transformAffine in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Matrix4fc.transformAffine(Vector4fc, Vector4f)

transformAffine

public Vector4f transformAffine(Vector4fc v,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and store the result in dest.

In order to store the result in the same vector, use Matrix4fc.transformAffine(Vector4f).

Specified by:

transformAffine in interface Matrix4fc

Parameters:

v - the vector to transform and to hold the final result

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.transformAffine(Vector4f)

transformAffine

public Vector4f transformAffine(float x,
 float y,
 float z,
 float w,
 Vector4f dest)

Description copied from interface: Matrix4fc

Transform/multiply the 4D-vector (x, y, z, w) by assuming that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and store the result in dest.

Specified by:

transformAffine in interface Matrix4fc

Parameters:

x - the x coordinate of the direction to transform

y - the y coordinate of the direction to transform

z - the z coordinate of the direction to transform

w - the w coordinate of the direction to transform

dest - will hold the result

Returns:

dest

scale

public Matrix4f scale(Vector3fc xyz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Specified by:

scale in interface Matrix4fc

Parameters:

xyz - the factors of the x, y and z component, respectively

dest - will hold the result

Returns:

dest

scale

public Matrix4f scale(Vector3fc xyz)

Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Parameters:

xyz - the factors of the x, y and z component, respectively

Returns:

this

scale

public Matrix4f scale(float xyz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Individual scaling of all three axes can be applied using Matrix4fc.scale(float, float, float, Matrix4f).

Specified by:

scale in interface Matrix4fc

Parameters:

xyz - the factor for all components

dest - will hold the result

Returns:

dest

See Also:

• Matrix4fc.scale(float, float, float, Matrix4f)

scale

public Matrix4f scale(float xyz)

Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Individual scaling of all three axes can be applied using scale(float, float, float).

Parameters:

xyz - the factor for all components

Returns:

this

See Also:

• scale(float, float, float)

scaleXY

public Matrix4f scaleXY(float x,
 float y,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by by scaling the X axis by x and the Y axis by y and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Specified by:

scaleXY in interface Matrix4fc

Parameters:

x - the factor of the x component

y - the factor of the y component

dest - will hold the result

Returns:

dest

scaleXY

public Matrix4f scaleXY(float x,
 float y)

Apply scaling to this matrix by scaling the X axis by x and the Y axis by y.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Parameters:

x - the factor of the x component

y - the factor of the y component

Returns:

this

scale

public Matrix4f scale(float x,
 float y,
 float z,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Specified by:

scale in interface Matrix4fc

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

dest - will hold the result

Returns:

dest

scale

public Matrix4f scale(float x,
 float y,
 float z)

Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

Returns:

this

scaleAround

public Matrix4f scaleAround(float sx,
 float sy,
 float sz,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).scale(sx, sy, sz).translate(-ox, -oy, -oz)

Specified by:

scaleAround in interface Matrix4fc

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

dest

scaleAround

public Matrix4f scaleAround(float sx,
 float sy,
 float sz,
 float ox,
 float oy,
 float oz)

Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz)

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAround

public Matrix4f scaleAround(float factor,
 float ox,
 float oy,
 float oz)

Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz)

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAround

public Matrix4f scaleAround(float factor,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).scale(factor).translate(-ox, -oy, -oz)

Specified by:

scaleAround in interface Matrix4fc

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

this

scaleLocal

public Matrix4f scaleLocal(float x,
 float y,
 float z,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!

Specified by:

scaleLocal in interface Matrix4fc

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

dest - will hold the result

Returns:

dest

scaleLocal

public Matrix4f scaleLocal(float xyz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply scaling to this matrix by scaling all base axes by the given xyz factor, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!

Specified by:

scaleLocal in interface Matrix4fc

Parameters:

xyz - the factor to scale all three base axes by

dest - will hold the result

Returns:

dest

scaleLocal

public Matrix4f scaleLocal(float xyz)

Pre-multiply scaling to this matrix by scaling the base axes by the given xyz factor.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

Parameters:

xyz - the factor of the x, y and z component

Returns:

this

scaleLocal

public Matrix4f scaleLocal(float x,
 float y,
 float z)

Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

Returns:

this

scaleAroundLocal

public Matrix4f scaleAroundLocal(float sx,
 float sy,
 float sz,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using the given (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!

This method is equivalent to calling: new Matrix4f().translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz).mul(this, dest)

Specified by:

scaleAroundLocal in interface Matrix4fc

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

dest

scaleAroundLocal

public Matrix4f scaleAroundLocal(float sx,
 float sy,
 float sz,
 float ox,
 float oy,
 float oz)

Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

This method is equivalent to calling: new Matrix4f().translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz).mul(this, this)

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAroundLocal

public Matrix4f scaleAroundLocal(float factor,
 float ox,
 float oy,
 float oz)

Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

This method is equivalent to calling: new Matrix4f().translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz).mul(this, this)

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAroundLocal

public Matrix4f scaleAroundLocal(float factor,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

This method is equivalent to calling: new Matrix4f().translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz).mul(this, dest)

Specified by:

scaleAroundLocal in interface Matrix4fc

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

this

rotateX

public Matrix4f rotateX(float ang,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateX in interface Matrix4fc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateX

public Matrix4f rotateX(float ang)

Apply rotation about the X axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateY

public Matrix4f rotateY(float ang,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateY in interface Matrix4fc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateY

public Matrix4f rotateY(float ang)

Apply rotation about the Y axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateZ

public Matrix4f rotateZ(float ang,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateZ in interface Matrix4fc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateZ

public Matrix4f rotateZ(float ang)

Apply rotation about the Z axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateTowardsXY

public Matrix4f rotateTowardsXY(float dirX,
 float dirY)

Apply rotation about the Z axis to align the local +X towards (dirX, dirY).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

The vector (dirX, dirY) must be a unit vector.

Parameters:

dirX - the x component of the normalized direction

dirY - the y component of the normalized direction

Returns:

this

rotateTowardsXY

public Matrix4f rotateTowardsXY(float dirX,
 float dirY,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation about the Z axis to align the local +X towards (dirX, dirY) and store the result in dest.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

The vector (dirX, dirY) must be a unit vector.

Specified by:

rotateTowardsXY in interface Matrix4fc

Parameters:

dirX - the x component of the normalized direction

dirY - the y component of the normalized direction

dest - will hold the result

Returns:

this

rotateXYZ

public Matrix4f rotateXYZ(Vector3fc angles)

Apply rotation of angles.x radians about the X axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.z radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angles.x()).rotateY(angles.y()).rotateZ(angles.z())

Parameters:

angles - the Euler angles

Returns:

this

rotateXYZ

public Matrix4f rotateXYZ(float angleX,
 float angleY,
 float angleZ)

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

rotateXYZ

public Matrix4f rotateXYZ(float angleX,
 float angleY,
 float angleZ,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angleX, dest).rotateY(angleY).rotateZ(angleZ)

Specified by:

rotateXYZ in interface Matrix4fc

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotateAffineXYZ

public Matrix4f rotateAffineXYZ(float angleX,
 float angleY,
 float angleZ)

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

rotateAffineXYZ

public Matrix4f rotateAffineXYZ(float angleX,
 float angleY,
 float angleZ,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Specified by:

rotateAffineXYZ in interface Matrix4fc

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotateZYX

public Matrix4f rotateZYX(Vector3f angles)

Apply rotation of angles.z radians about the Z axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.x radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angles.z).rotateY(angles.y).rotateX(angles.x)

Parameters:

angles - the Euler angles

Returns:

this

rotateZYX

public Matrix4f rotateZYX(float angleZ,
 float angleY,
 float angleX)

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angleZ).rotateY(angleY).rotateX(angleX)

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

rotateZYX

public Matrix4f rotateZYX(float angleZ,
 float angleY,
 float angleX,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angleZ, dest).rotateY(angleY).rotateX(angleX)

Specified by:

rotateZYX in interface Matrix4fc

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

dest - will hold the result

Returns:

dest

rotateAffineZYX

public Matrix4f rotateAffineZYX(float angleZ,
 float angleY,
 float angleX)

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

rotateAffineZYX

public Matrix4f rotateAffineZYX(float angleZ,
 float angleY,
 float angleX,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Specified by:

rotateAffineZYX in interface Matrix4fc

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

dest - will hold the result

Returns:

dest

rotateYXZ

public Matrix4f rotateYXZ(Vector3f angles)

Apply rotation of angles.y radians about the Y axis, followed by a rotation of angles.x radians about the X axis and followed by a rotation of angles.z radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angles.y).rotateX(angles.x).rotateZ(angles.z)

Parameters:

angles - the Euler angles

Returns:

this

rotateYXZ

public Matrix4f rotateYXZ(float angleY,
 float angleX,
 float angleZ)

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angleY).rotateX(angleX).rotateZ(angleZ)

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

rotateYXZ

public Matrix4f rotateYXZ(float angleY,
 float angleX,
 float angleZ,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angleY, dest).rotateX(angleX).rotateZ(angleZ)

Specified by:

rotateYXZ in interface Matrix4fc

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotateAffineYXZ

public Matrix4f rotateAffineYXZ(float angleY,
 float angleX,
 float angleZ)

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

rotateAffineYXZ

public Matrix4f rotateAffineYXZ(float angleY,
 float angleX,
 float angleZ,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method assumes that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Specified by:

rotateAffineYXZ in interface Matrix4fc

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotate

public Matrix4f rotate(float ang,
 float x,
 float y,
 float z,
 Matrix4f dest)

Apply rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4fc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(float, float, float, float)

rotate

public Matrix4f rotate(float ang,
 float x,
 float y,
 float z)

Apply rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

Returns:

this

See Also:

• rotation(float, float, float, float)

rotateTranslation

public Matrix4f rotateTranslation(float ang,
 float x,
 float y,
 float z,
 Matrix4f dest)

Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

This method assumes this to only contain a translation.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotateTranslation in interface Matrix4fc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(float, float, float, float)

rotateAffine

public Matrix4f rotateAffine(float ang,
 float x,
 float y,
 float z,
 Matrix4f dest)

Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

This method assumes this to be affine.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotateAffine in interface Matrix4fc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(float, float, float, float)

rotateAffine

public Matrix4f rotateAffine(float ang,
 float x,
 float y,
 float z)

Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis.

This method assumes this to be affine.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

Returns:

this

See Also:

• rotation(float, float, float, float)

rotateLocal

public Matrix4f rotateLocal(float ang,
 float x,
 float y,
 float z,
 Matrix4f dest)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotateLocal in interface Matrix4fc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(float, float, float, float)

rotateLocal

public Matrix4f rotateLocal(float ang,
 float x,
 float y,
 float z)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

Returns:

this

See Also:

• rotation(float, float, float, float)

rotateLocalX

public Matrix4f rotateLocalX(float ang,
 Matrix4f dest)

Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().

Reference: http://en.wikipedia.org

Specified by:

rotateLocalX in interface Matrix4fc

Parameters:

ang - the angle in radians to rotate about the X axis

dest - will hold the result

Returns:

dest

See Also:

• rotationX(float)

rotateLocalX

public Matrix4f rotateLocalX(float ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the X axis

Returns:

this

See Also:

• rotationX(float)

rotateLocalY

public Matrix4f rotateLocalY(float ang,
 Matrix4f dest)

Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Specified by:

rotateLocalY in interface Matrix4fc

Parameters:

ang - the angle in radians to rotate about the Y axis

dest - will hold the result

Returns:

dest

See Also:

• rotationY(float)

rotateLocalY

public Matrix4f rotateLocalY(float ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Y axis

Returns:

this

See Also:

• rotationY(float)

rotateLocalZ

public Matrix4f rotateLocalZ(float ang,
 Matrix4f dest)

Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationZ().

Reference: http://en.wikipedia.org

Specified by:

rotateLocalZ in interface Matrix4fc

Parameters:

ang - the angle in radians to rotate about the Z axis

dest - will hold the result

Returns:

dest

See Also:

• rotationZ(float)

rotateLocalZ

public Matrix4f rotateLocalZ(float ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Z axis

Returns:

this

See Also:

• rotationY(float)

translate

public Matrix4f translate(Vector3fc offset)

Apply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3fc)

translate

public Matrix4f translate(Vector3fc offset,
 Matrix4f dest)

Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).

Specified by:

translate in interface Matrix4fc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3fc)

translate

public Matrix4f translate(float x,
 float y,
 float z,
 Matrix4f dest)

Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(float, float, float).

Specified by:

translate in interface Matrix4fc

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

dest - will hold the result

Returns:

dest

See Also:

• translation(float, float, float)

translate

public Matrix4f translate(float x,
 float y,
 float z)

Apply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(float, float, float).

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translation(float, float, float)

translateLocal

public Matrix4f translateLocal(Vector3fc offset)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3fc)

translateLocal

public Matrix4f translateLocal(Vector3fc offset,
 Matrix4f dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).

Specified by:

translateLocal in interface Matrix4fc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3fc)

translateLocal

public Matrix4f translateLocal(float x,
 float y,
 float z,
 Matrix4f dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(float, float, float).

Specified by:

translateLocal in interface Matrix4fc

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

dest - will hold the result

Returns:

dest

See Also:

• translation(float, float, float)

translateLocal

public Matrix4f translateLocal(float x,
 float y,
 float z)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(float, float, float).

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translation(float, float, float)

writeExternal

public void writeExternal(ObjectOutput out)
                   throws IOException

Specified by:

writeExternal in interface Externalizable

Throws:

IOException

readExternal

public void readExternal(ObjectInput in)
                  throws IOException

Specified by:

readExternal in interface Externalizable

Throws:

IOException

ortho

public Matrix4f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setOrtho(float, float, float, float, float, float, boolean)

ortho

public Matrix4f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrtho(float, float, float, float, float, float)

ortho

public Matrix4f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrtho(float, float, float, float, float, float, boolean)

ortho

public Matrix4f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrtho(float, float, float, float, float, float)

orthoLH

public Matrix4f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

orthoLH in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setOrthoLH(float, float, float, float, float, float, boolean)

orthoLH

public Matrix4f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

orthoLH in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoLH(float, float, float, float, float, float)

orthoLH

public Matrix4f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoLH(float, float, float, float, float, float, boolean)

orthoLH

public Matrix4f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoLH(float, float, float, float, float, float)

setOrtho

public Matrix4f setOrtho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.

In order to apply the orthographic projection to an already existing transformation, use ortho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• ortho(float, float, float, float, float, float, boolean)

setOrtho

public Matrix4f setOrtho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the orthographic projection to an already existing transformation, use ortho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• ortho(float, float, float, float, float, float)

setOrthoLH

public Matrix4f setOrthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.

In order to apply the orthographic projection to an already existing transformation, use orthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoLH(float, float, float, float, float, float, boolean)

setOrthoLH

public Matrix4f setOrthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the orthographic projection to an already existing transformation, use orthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoLH(float, float, float, float, float, float)

orthoSymmetric

public Matrix4f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Specified by:

orthoSymmetric in interface Matrix4fc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setOrthoSymmetric(float, float, float, float, boolean)

orthoSymmetric

public Matrix4f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Specified by:

orthoSymmetric in interface Matrix4fc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoSymmetric(float, float, float, float)

orthoSymmetric

public Matrix4f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoSymmetric(float, float, float, float, boolean)

orthoSymmetric

public Matrix4f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoSymmetric(float, float, float, float)

orthoSymmetricLH

public Matrix4f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Specified by:

orthoSymmetricLH in interface Matrix4fc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setOrthoSymmetricLH(float, float, float, float, boolean)

orthoSymmetricLH

public Matrix4f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Specified by:

orthoSymmetricLH in interface Matrix4fc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoSymmetricLH(float, float, float, float)

orthoSymmetricLH

public Matrix4f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoSymmetricLH(float, float, float, float, boolean)

orthoSymmetricLH

public Matrix4f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoSymmetricLH(float, float, float, float)

setOrthoSymmetric

public Matrix4f setOrthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoSymmetric(float, float, float, float, boolean)

setOrthoSymmetric

public Matrix4f setOrthoSymmetric(float width,
 float height,
 float zNear,
 float zFar)

Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoSymmetric(float, float, float, float)

setOrthoSymmetricLH

public Matrix4f setOrthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoSymmetricLH(float, float, float, float, boolean)

setOrthoSymmetricLH

public Matrix4f setOrthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar)

Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

This method is equivalent to calling setOrthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoSymmetricLH(float, float, float, float)

ortho2D

public Matrix4f ortho2D(float left,
 float right,
 float bottom,
 float top,
 Matrix4f dest)

Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.

This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho2D in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

dest - will hold the result

Returns:

dest

See Also:

• ortho(float, float, float, float, float, float, Matrix4f)
• setOrtho2D(float, float, float, float)

ortho2D

public Matrix4f ortho2D(float left,
 float right,
 float bottom,
 float top)

Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.

This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2D().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• ortho(float, float, float, float, float, float)
• setOrtho2D(float, float, float, float)

ortho2DLH

public Matrix4f ortho2DLH(float left,
 float right,
 float bottom,
 float top,
 Matrix4f dest)

Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

ortho2DLH in interface Matrix4fc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

dest - will hold the result

Returns:

dest

See Also:

• orthoLH(float, float, float, float, float, float, Matrix4f)
• setOrtho2DLH(float, float, float, float)

ortho2DLH

public Matrix4f ortho2DLH(float left,
 float right,
 float bottom,
 float top)

Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.

This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2DLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• orthoLH(float, float, float, float, float, float)
• setOrtho2DLH(float, float, float, float)

setOrtho2D

public Matrix4f setOrtho2D(float left,
 float right,
 float bottom,
 float top)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.

This method is equivalent to calling setOrtho() with zNear=-1 and zFar=+1.

In order to apply the orthographic projection to an already existing transformation, use ortho2D().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• setOrtho(float, float, float, float, float, float)
• ortho2D(float, float, float, float)

setOrtho2DLH

public Matrix4f setOrtho2DLH(float left,
 float right,
 float bottom,
 float top)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.

This method is equivalent to calling setOrthoLH() with zNear=-1 and zFar=+1.

In order to apply the orthographic projection to an already existing transformation, use ortho2DLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• setOrthoLH(float, float, float, float, float, float)
• ortho2DLH(float, float, float, float)

lookAlong

public Matrix4f lookAlong(Vector3fc dir,
 Vector3fc up)

Apply a rotation transformation to this matrix to make -z point along dir.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

Returns:

this

See Also:

• lookAlong(float, float, float, float, float, float)
• lookAt(Vector3fc, Vector3fc, Vector3fc)
• setLookAlong(Vector3fc, Vector3fc)

lookAlong

public Matrix4f lookAlong(Vector3fc dir,
 Vector3fc up,
 Matrix4f dest)

Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().

Specified by:

lookAlong in interface Matrix4fc

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAlong(float, float, float, float, float, float)
• lookAt(Vector3fc, Vector3fc, Vector3fc)
• setLookAlong(Vector3fc, Vector3fc)

lookAlong

public Matrix4f lookAlong(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()

Specified by:

lookAlong in interface Matrix4fc

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAt(float, float, float, float, float, float, float, float, float)
• setLookAlong(float, float, float, float, float, float)

lookAlong

public Matrix4f lookAlong(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ)

Apply a rotation transformation to this matrix to make -z point along dir.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAt(float, float, float, float, float, float, float, float, float)
• setLookAlong(float, float, float, float, float, float)

setLookAlong

public Matrix4f setLookAlong(Vector3fc dir,
 Vector3fc up)

Set this matrix to a rotation transformation to make -z point along dir.

This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.

In order to apply the lookalong transformation to any previous existing transformation, use lookAlong(Vector3fc, Vector3fc).

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

Returns:

this

See Also:

• setLookAlong(Vector3fc, Vector3fc)
• lookAlong(Vector3fc, Vector3fc)

setLookAlong

public Matrix4f setLookAlong(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ)

Set this matrix to a rotation transformation to make -z point along dir.

This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.

In order to apply the lookalong transformation to any previous existing transformation, use lookAlong()

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAlong(float, float, float, float, float, float)
• lookAlong(float, float, float, float, float, float)

setLookAt

public Matrix4f setLookAt(Vector3fc eye,
 Vector3fc center,
 Vector3fc up)

Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.

In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAt() instead.

In order to apply the lookat transformation to a previous existing transformation, use lookAt().

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• setLookAt(float, float, float, float, float, float, float, float, float)
• lookAt(Vector3fc, Vector3fc, Vector3fc)

setLookAt

public Matrix4f setLookAt(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ)

Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.

In order to apply the lookat transformation to a previous existing transformation, use lookAt.

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAt(Vector3fc, Vector3fc, Vector3fc)
• lookAt(float, float, float, float, float, float, float, float, float)

lookAt

public Matrix4f lookAt(Vector3fc eye,
 Vector3fc center,
 Vector3fc up,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3fc, Vector3fc, Vector3fc).

Specified by:

lookAt in interface Matrix4fc

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAt(float, float, float, float, float, float, float, float, float)
• setLookAlong(Vector3fc, Vector3fc)

lookAt

public Matrix4f lookAt(Vector3fc eye,
 Vector3fc center,
 Vector3fc up)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3fc, Vector3fc, Vector3fc).

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• lookAt(float, float, float, float, float, float, float, float, float)
• setLookAlong(Vector3fc, Vector3fc)

lookAt

public Matrix4f lookAt(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().

Specified by:

lookAt in interface Matrix4fc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAt(Vector3fc, Vector3fc, Vector3fc)
• setLookAt(float, float, float, float, float, float, float, float, float)

lookAtPerspective

public Matrix4f lookAtPerspective(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.

This method assumes this to be a perspective transformation, obtained via frustum() or perspective() or one of their overloads.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().

Specified by:

lookAtPerspective in interface Matrix4fc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• setLookAt(float, float, float, float, float, float, float, float, float)

lookAt

public Matrix4f lookAt(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAt(Vector3fc, Vector3fc, Vector3fc)
• setLookAt(float, float, float, float, float, float, float, float, float)

setLookAtLH

public Matrix4f setLookAtLH(Vector3fc eye,
 Vector3fc center,
 Vector3fc up)

Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.

In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAtLH() instead.

In order to apply the lookat transformation to a previous existing transformation, use lookAt().

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• setLookAtLH(float, float, float, float, float, float, float, float, float)
• lookAtLH(Vector3fc, Vector3fc, Vector3fc)

setLookAtLH

public Matrix4f setLookAtLH(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ)

Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.

In order to apply the lookat transformation to a previous existing transformation, use lookAtLH.

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAtLH(Vector3fc, Vector3fc, Vector3fc)
• lookAtLH(float, float, float, float, float, float, float, float, float)

lookAtLH

public Matrix4f lookAtLH(Vector3fc eye,
 Vector3fc center,
 Vector3fc up,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3fc, Vector3fc, Vector3fc).

Specified by:

lookAtLH in interface Matrix4fc

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAtLH(float, float, float, float, float, float, float, float, float)

lookAtLH

public Matrix4f lookAtLH(Vector3fc eye,
 Vector3fc center,
 Vector3fc up)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3fc, Vector3fc, Vector3fc).

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• lookAtLH(float, float, float, float, float, float, float, float, float)

lookAtLH

public Matrix4f lookAtLH(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().

Specified by:

lookAtLH in interface Matrix4fc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAtLH(Vector3fc, Vector3fc, Vector3fc)
• setLookAtLH(float, float, float, float, float, float, float, float, float)

lookAtLH

public Matrix4f lookAtLH(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAtLH(Vector3fc, Vector3fc, Vector3fc)
• setLookAtLH(float, float, float, float, float, float, float, float, float)

lookAtPerspectiveLH

public Matrix4f lookAtPerspectiveLH(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.

This method assumes this to be a perspective transformation, obtained via frustumLH() or perspectiveLH() or one of their overloads.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().

Specified by:

lookAtPerspectiveLH in interface Matrix4fc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• setLookAtLH(float, float, float, float, float, float, float, float, float)

tile

public Matrix4f tile(int x,
 int y,
 int w,
 int h)

This method is equivalent to calling: translate(w-1-2*x, h-1-2*y, 0).scale(w, h, 1)

If M is this matrix and T the created transformation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the created transformation will be applied first!

Parameters:

x - the tile's x coordinate/index (should be in [0..w))

y - the tile's y coordinate/index (should be in [0..h))

w - the number of tiles along the x axis

h - the number of tiles along the y axis

Returns:

this

tile

public Matrix4f tile(int x,
 int y,
 int w,
 int h,
 Matrix4f dest)

Description copied from interface: Matrix4fc

This method is equivalent to calling: translate(w-1-2*x, h-1-2*y, 0, dest).scale(w, h, 1)

If M is this matrix and T the created transformation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the created transformation will be applied first!

Specified by:

tile in interface Matrix4fc

Parameters:

x - the tile's x coordinate/index (should be in [0..w))

y - the tile's y coordinate/index (should be in [0..h))

w - the number of tiles along the x axis

h - the number of tiles along the y axis

dest - will hold the result

Returns:

dest

perspective

public Matrix4f perspective(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.

Specified by:

perspective in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setPerspective(float, float, float, float, boolean)

perspective

public Matrix4f perspective(float fovy,
 float aspect,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.

Specified by:

perspective in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setPerspective(float, float, float, float)

perspective

public Matrix4f perspective(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspective(float, float, float, float, boolean)

perspective

public Matrix4f perspective(float fovy,
 float aspect,
 float zNear,
 float zFar)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspective(float, float, float, float)

perspectiveRect

public Matrix4f perspectiveRect(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveRect.

Specified by:

perspectiveRect in interface Matrix4fc

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setPerspectiveRect(float, float, float, float, boolean)

perspectiveRect

public Matrix4f perspectiveRect(float width,
 float height,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveRect.

Specified by:

perspectiveRect in interface Matrix4fc

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setPerspectiveRect(float, float, float, float)

perspectiveRect

public Matrix4f perspectiveRect(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveRect.

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspectiveRect(float, float, float, float, boolean)

perspectiveRect

public Matrix4f perspectiveRect(float width,
 float height,
 float zNear,
 float zFar)

Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveRect.

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspectiveRect(float, float, float, float)

perspectiveOffCenter

public Matrix4f perspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenter.

Specified by:

perspectiveOffCenter in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setPerspectiveOffCenter(float, float, float, float, float, float, boolean)

perspectiveOffCenter

public Matrix4f perspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenter.

Specified by:

perspectiveOffCenter in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setPerspectiveOffCenter(float, float, float, float, float, float)

perspectiveOffCenter

public Matrix4f perspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an asymmetric off-center perspective projection frustum transformation using for a right-handed coordinate system using the given NDC z range to this matrix.

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenter.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspectiveOffCenter(float, float, float, float, float, float, boolean)

perspectiveOffCenter

public Matrix4f perspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar)

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenter.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspectiveOffCenter(float, float, float, float, float, float)

perspectiveOffCenterFov

public Matrix4f perspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenterFov.

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspectiveOffCenterFov(float, float, float, float, float, float, boolean)

perspectiveOffCenterFov

public Matrix4f perspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

Specified by:

perspectiveOffCenterFov in interface Matrix4fc

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

perspectiveOffCenterFov

public Matrix4f perspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar)

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenterFov.

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspectiveOffCenterFov(float, float, float, float, float, float)

perspectiveOffCenterFov

public Matrix4f perspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

Specified by:

perspectiveOffCenterFov in interface Matrix4fc

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

perspectiveOffCenterFovLH

public Matrix4f perspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenterFovLH.

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspectiveOffCenterFovLH(float, float, float, float, float, float, boolean)

perspectiveOffCenterFovLH

public Matrix4f perspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

Specified by:

perspectiveOffCenterFovLH in interface Matrix4fc

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

perspectiveOffCenterFovLH

public Matrix4f perspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar)

Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveOffCenterFovLH.

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspectiveOffCenterFovLH(float, float, float, float, float, float)

perspectiveOffCenterFovLH

public Matrix4f perspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

Specified by:

perspectiveOffCenterFovLH in interface Matrix4fc

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

setPerspective

public Matrix4f setPerspective(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.

In order to apply the perspective projection transformation to an existing transformation, use perspective().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspective(float, float, float, float, boolean)

setPerspective

public Matrix4f setPerspective(float fovy,
 float aspect,
 float zNear,
 float zFar)

Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective projection transformation to an existing transformation, use perspective().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspective(float, float, float, float)

setPerspectiveRect

public Matrix4f setPerspectiveRect(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveRect().

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspectiveRect(float, float, float, float, boolean)

setPerspectiveRect

public Matrix4f setPerspectiveRect(float width,
 float height,
 float zNear,
 float zFar)

Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective projection transformation to an existing transformation, use perspectiveRect().

Parameters:

width - the width of the near frustum plane

height - the height of the near frustum plane

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspectiveRect(float, float, float, float)

setPerspectiveOffCenter

public Matrix4f setPerspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenter().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspectiveOffCenter(float, float, float, float, float, float)

setPerspectiveOffCenter

public Matrix4f setPerspectiveOffCenter(float fovy,
 float offAngleX,
 float offAngleY,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.

The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenter().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes

offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspectiveOffCenter(float, float, float, float, float, float)

setPerspectiveOffCenterFov

public Matrix4f setPerspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenterFov().

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspectiveOffCenterFov(float, float, float, float, float, float)

setPerspectiveOffCenterFov

public Matrix4f setPerspectiveOffCenterFov(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenterFov().

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspectiveOffCenterFov(float, float, float, float, float, float, boolean)

setPerspectiveOffCenterFovLH

public Matrix4f setPerspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenterFovLH().

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspectiveOffCenterFovLH(float, float, float, float, float, float)

setPerspectiveOffCenterFovLH

public Matrix4f setPerspectiveOffCenterFovLH(float angleLeft,
 float angleRight,
 float angleDown,
 float angleUp,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range.

The given angles angleLeft and angleRight are the horizontal angles between the left and right frustum planes, respectively, and a line perpendicular to the near and far frustum planes. The angles angleDown and angleUp are the vertical angles between the bottom and top frustum planes, respectively, and a line perpendicular to the near and far frustum planes.

In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenterFovLH().

Parameters:

angleLeft - the horizontal angle between left frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleRight - the horizontal angle between right frustum plane and a line perpendicular to the near/far frustum planes

angleDown - the vertical angle between bottom frustum plane and a line perpendicular to the near/far frustum planes. For a symmetric frustum, this value is negative.

angleUp - the vertical angle between top frustum plane and a line perpendicular to the near/far frustum planes

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspectiveOffCenterFovLH(float, float, float, float, float, float, boolean)

perspectiveLH

public Matrix4f perspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveLH.

Specified by:

perspectiveLH in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setPerspectiveLH(float, float, float, float, boolean)

perspectiveLH

public Matrix4f perspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveLH.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setPerspectiveLH(float, float, float, float, boolean)

perspectiveLH

public Matrix4f perspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveLH.

Specified by:

perspectiveLH in interface Matrix4fc

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setPerspectiveLH(float, float, float, float)

perspectiveLH

public Matrix4f perspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar)

Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspectiveLH.

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setPerspectiveLH(float, float, float, float)

setPerspectiveLH

public Matrix4f setPerspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range of [-1..+1].

In order to apply the perspective projection transformation to an existing transformation, use perspectiveLH().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• perspectiveLH(float, float, float, float, boolean)

setPerspectiveLH

public Matrix4f setPerspectiveLH(float fovy,
 float aspect,
 float zNear,
 float zFar)

Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective projection transformation to an existing transformation, use perspectiveLH().

Parameters:

fovy - the vertical field of view in radians (must be greater than zero and less than PI)

aspect - the aspect ratio (i.e. width / height; must be greater than zero)

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• perspectiveLH(float, float, float, float)

frustum

public Matrix4f frustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().

Reference: http://www.songho.ca

Specified by:

frustum in interface Matrix4fc

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setFrustum(float, float, float, float, float, float, boolean)

frustum

public Matrix4f frustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().

Reference: http://www.songho.ca

Specified by:

frustum in interface Matrix4fc

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setFrustum(float, float, float, float, float, float)

frustum

public Matrix4f frustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setFrustum(float, float, float, float, float, float, boolean)

frustum

public Matrix4f frustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setFrustum(float, float, float, float, float, float)

setFrustum

public Matrix4f setFrustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.

In order to apply the perspective frustum transformation to an existing transformation, use frustum().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• frustum(float, float, float, float, float, float, boolean)

setFrustum

public Matrix4f setFrustum(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective frustum transformation to an existing transformation, use frustum().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• frustum(float, float, float, float, float, float)

frustumLH

public Matrix4f frustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4f dest)

Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustumLH().

Reference: http://www.songho.ca

Specified by:

frustumLH in interface Matrix4fc

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setFrustumLH(float, float, float, float, float, float, boolean)

frustumLH

public Matrix4f frustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustumLH().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setFrustumLH(float, float, float, float, float, float, boolean)

frustumLH

public Matrix4f frustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4f dest)

Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustumLH().

Reference: http://www.songho.ca

Specified by:

frustumLH in interface Matrix4fc

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

dest - will hold the result

Returns:

dest

See Also:

• setFrustumLH(float, float, float, float, float, float)

frustumLH

public Matrix4f frustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!

In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustumLH().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• setFrustumLH(float, float, float, float, float, float)

setFrustumLH

public Matrix4f setFrustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne)

Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective frustum transformation to an existing transformation, use frustumLH().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• frustumLH(float, float, float, float, float, float, boolean)

setFrustumLH

public Matrix4f setFrustumLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar)

Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the perspective frustum transformation to an existing transformation, use frustumLH().

Reference: http://www.songho.ca

Parameters:

left - the distance along the x-axis to the left frustum edge

right - the distance along the x-axis to the right frustum edge

bottom - the distance along the y-axis to the bottom frustum edge

top - the distance along the y-axis to the top frustum edge

zNear - near clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.

zFar - far clipping plane distance. This value must be greater than zero. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.

Returns:

this

See Also:

• frustumLH(float, float, float, float, float, float)

setFromIntrinsic

public Matrix4f setFromIntrinsic(float alphaX,
 float alphaY,
 float gamma,
 float u0,
 float v0,
 int imgWidth,
 int imgHeight,
 float near,
 float far)

Set this matrix to represent a perspective projection equivalent to the given intrinsic camera calibration parameters. The resulting matrix will be suited for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

See: https://en.wikipedia.org/

Reference: http://ksimek.github.io/

Parameters:

alphaX - specifies the focal length and scale along the X axis

alphaY - specifies the focal length and scale along the Y axis

gamma - the skew coefficient between the X and Y axis (may be 0)

u0 - the X coordinate of the principal point in image/sensor units

v0 - the Y coordinate of the principal point in image/sensor units

imgWidth - the width of the sensor/image image/sensor units

imgHeight - the height of the sensor/image image/sensor units

near - the distance to the near plane

far - the distance to the far plane

Returns:

this

rotate

public Matrix4f rotate(Quaternionfc quat,
 Matrix4f dest)

Apply the rotation transformation of the given Quaternionfc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4fc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotate

public Matrix4f rotate(Quaternionfc quat)

Apply the rotation transformation of the given Quaternionfc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

rotateAffine

public Matrix4f rotateAffine(Quaternionfc quat,
 Matrix4f dest)

Apply the rotation transformation of the given Quaternionfc to this affine matrix and store the result in dest.

This method assumes this to be affine.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotateAffine in interface Matrix4fc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotateAffine

public Matrix4f rotateAffine(Quaternionfc quat)

Apply the rotation transformation of the given Quaternionfc to this matrix.

This method assumes this to be affine.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

rotateTranslation

public Matrix4f rotateTranslation(Quaternionfc quat,
 Matrix4f dest)

Apply the rotation transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.

This method assumes this to only contain a translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotateTranslation in interface Matrix4fc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotateAround

public Matrix4f rotateAround(Quaternionfc quat,
 float ox,
 float oy,
 float oz)

Apply the rotation transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

Returns:

this

rotateAroundAffine

public Matrix4f rotateAroundAffine(Quaternionfc quat,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this affine matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

This method is only applicable if this is an affine matrix.

This method is equivalent to calling: translate(ox, oy, oz, dest).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Specified by:

rotateAroundAffine in interface Matrix4fc

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

dest - will hold the result

Returns:

dest

rotateAround

public Matrix4f rotateAround(Quaternionfc quat,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Specified by:

rotateAround in interface Matrix4fc

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

dest - will hold the result

Returns:

dest

rotationAround

public Matrix4f rotationAround(Quaternionfc quat,
 float ox,
 float oy,
 float oz)

Set this matrix to a transformation composed of a rotation of the specified Quaternionfc while using (ox, oy, oz) as the rotation origin.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

Returns:

this

rotateLocal

public Matrix4f rotateLocal(Quaternionfc quat,
 Matrix4f dest)

Pre-multiply the rotation transformation of the given Quaternionfc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotateLocal in interface Matrix4fc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotateLocal

public Matrix4f rotateLocal(Quaternionfc quat)

Pre-multiply the rotation transformation of the given Quaternionfc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

rotateAroundLocal

public Matrix4f rotateAroundLocal(Quaternionfc quat,
 float ox,
 float oy,
 float oz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

This method is equivalent to calling: translateLocal(-ox, -oy, -oz, dest).rotateLocal(quat).translateLocal(ox, oy, oz)

Reference: http://en.wikipedia.org

Specified by:

rotateAroundLocal in interface Matrix4fc

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

dest - will hold the result

Returns:

dest

rotateAroundLocal

public Matrix4f rotateAroundLocal(Quaternionfc quat,
 float ox,
 float oy,
 float oz)

Pre-multiply the rotation transformation of the given Quaternionfc to this matrix while using (ox, oy, oz) as the rotation origin.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

This method is equivalent to calling: translateLocal(-ox, -oy, -oz).rotateLocal(quat).translateLocal(ox, oy, oz)

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

Returns:

this

rotate

public Matrix4f rotate(AxisAngle4f axisAngle)

Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

Returns:

this

See Also:

• rotate(float, float, float, float)
• rotation(AxisAngle4f)

rotate

public Matrix4f rotate(AxisAngle4f axisAngle,
 Matrix4f dest)

Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4fc

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(float, float, float, float)
• rotation(AxisAngle4f)

rotate

public Matrix4f rotate(float angle,
 Vector3fc axis)

Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given axis-angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(float, Vector3fc).

Reference: http://en.wikipedia.org

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

Returns:

this

See Also:

• rotate(float, float, float, float)
• rotation(float, Vector3fc)

rotate

public Matrix4f rotate(float angle,
 Vector3fc axis,
 Matrix4f dest)

Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given axis-angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(float, Vector3fc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4fc

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(float, float, float, float)
• rotation(float, Vector3fc)

unproject

public Vector4f unproject(float winX,
 float winY,
 float winZ,
 int[] viewport,
 Vector4f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInv() can be invoked on it.

Specified by:

unproject in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

winZ - the z-coordinate, which is the depth value in [0..1]

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unprojectInv(float, float, float, int[], Vector4f)
• Matrix4fc.invert(Matrix4f)

unproject

public Vector3f unproject(float winX,
 float winY,
 float winZ,
 int[] viewport,
 Vector3f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInv() can be invoked on it.

Specified by:

unproject in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

winZ - the z-coordinate, which is the depth value in [0..1]

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unprojectInv(float, float, float, int[], Vector3f)
• Matrix4fc.invert(Matrix4f)

unproject

public Vector4f unproject(Vector3fc winCoords,
 int[] viewport,
 Vector4f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates winCoords by this matrix using the specified viewport.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInv() can be invoked on it.

Specified by:

unproject in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unprojectInv(float, float, float, int[], Vector4f)
• Matrix4fc.unproject(float, float, float, int[], Vector4f)
• Matrix4fc.invert(Matrix4f)

unproject

public Vector3f unproject(Vector3fc winCoords,
 int[] viewport,
 Vector3f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates winCoords by this matrix using the specified viewport.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInv() can be invoked on it.

Specified by:

unproject in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unprojectInv(float, float, float, int[], Vector3f)
• Matrix4fc.unproject(float, float, float, int[], Vector3f)
• Matrix4fc.invert(Matrix4f)

unprojectRay

public Matrix4f unprojectRay(float winX,
 float winY,
 int[] viewport,
 Vector3f originDest,
 Vector3f dirDest)

Description copied from interface: Matrix4fc

Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInvRay() can be invoked on it.

Specified by:

unprojectRay in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

viewport - the viewport described by [x, y, width, height]

originDest - will hold the ray origin

dirDest - will hold the (unnormalized) ray direction

Returns:

this

See Also:

• Matrix4fc.unprojectInvRay(float, float, int[], Vector3f, Vector3f)
• Matrix4fc.invert(Matrix4f)

unprojectRay

public Matrix4f unprojectRay(Vector2fc winCoords,
 int[] viewport,
 Vector3f originDest,
 Vector3f dirDest)

Description copied from interface: Matrix4fc

Unproject the given 2D window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4fc.invert(Matrix4f) and then the method unprojectInvRay() can be invoked on it.

Specified by:

unprojectRay in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

originDest - will hold the ray origin

dirDest - will hold the (unnormalized) ray direction

Returns:

this

See Also:

• Matrix4fc.unprojectInvRay(float, float, int[], Vector3f, Vector3f)
• Matrix4fc.unprojectRay(float, float, int[], Vector3f, Vector3f)
• Matrix4fc.invert(Matrix4f)

unprojectInv

public Vector4f unprojectInv(Vector3fc winCoords,
 int[] viewport,
 Vector4f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates winCoords by this matrix using the specified viewport.

This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.

This method reads the four viewport parameters from the given int[].

Specified by:

unprojectInv in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unproject(Vector3fc, int[], Vector4f)

unprojectInv

public Vector4f unprojectInv(float winX,
 float winY,
 float winZ,
 int[] viewport,
 Vector4f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.

This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.

Specified by:

unprojectInv in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

winZ - the z-coordinate, which is the depth value in [0..1]

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unproject(float, float, float, int[], Vector4f)

unprojectInvRay

public Matrix4f unprojectInvRay(Vector2fc winCoords,
 int[] viewport,
 Vector3f originDest,
 Vector3f dirDest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.

This method differs from unprojectRay() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

Specified by:

unprojectInvRay in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

originDest - will hold the ray origin

dirDest - will hold the (unnormalized) ray direction

Returns:

this

See Also:

• Matrix4fc.unprojectRay(Vector2fc, int[], Vector3f, Vector3f)

unprojectInvRay

public Matrix4f unprojectInvRay(float winX,
 float winY,
 int[] viewport,
 Vector3f originDest,
 Vector3f dirDest)

Description copied from interface: Matrix4fc

Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.

This method differs from unprojectRay() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

Specified by:

unprojectInvRay in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

viewport - the viewport described by [x, y, width, height]

originDest - will hold the ray origin

dirDest - will hold the (unnormalized) ray direction

Returns:

this

See Also:

• Matrix4fc.unprojectRay(float, float, int[], Vector3f, Vector3f)

unprojectInv

public Vector3f unprojectInv(Vector3fc winCoords,
 int[] viewport,
 Vector3f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates winCoords by this matrix using the specified viewport.

This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.

Specified by:

unprojectInv in interface Matrix4fc

Parameters:

winCoords - the window coordinates to unproject

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unproject(Vector3fc, int[], Vector3f)

unprojectInv

public Vector3f unprojectInv(float winX,
 float winY,
 float winZ,
 int[] viewport,
 Vector3f dest)

Description copied from interface: Matrix4fc

Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.

This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.

Specified by:

unprojectInv in interface Matrix4fc

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

winZ - the z-coordinate, which is the depth value in [0..1]

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

• Matrix4fc.unproject(float, float, float, int[], Vector3f)

project

public Vector4f project(float x,
 float y,
 float z,
 int[] viewport,
 Vector4f winCoordsDest)

Description copied from interface: Matrix4fc

Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.

This method transforms the given coordinates by this matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].

The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.

Specified by:

project in interface Matrix4fc

Parameters:

x - the x-coordinate of the position to project

y - the y-coordinate of the position to project

z - the z-coordinate of the position to project

viewport - the viewport described by [x, y, width, height]

winCoordsDest - will hold the projected window coordinates

Returns:

winCoordsDest

project

public Vector3f project(float x,
 float y,
 float z,
 int[] viewport,
 Vector3f winCoordsDest)

Description copied from interface: Matrix4fc

Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.

This method transforms the given coordinates by this matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].

The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.

Specified by:

project in interface Matrix4fc

Parameters:

x - the x-coordinate of the position to project

y - the y-coordinate of the position to project

z - the z-coordinate of the position to project

viewport - the viewport described by [x, y, width, height]

winCoordsDest - will hold the projected window coordinates

Returns:

winCoordsDest

project

public Vector4f project(Vector3fc position,
 int[] viewport,
 Vector4f winCoordsDest)

Description copied from interface: Matrix4fc

Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.

This method transforms the given coordinates by this matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].

The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.

Specified by:

project in interface Matrix4fc

Parameters:

position - the position to project into window coordinates

viewport - the viewport described by [x, y, width, height]

winCoordsDest - will hold the projected window coordinates

Returns:

winCoordsDest

See Also:

• Matrix4fc.project(float, float, float, int[], Vector4f)

project

public Vector3f project(Vector3fc position,
 int[] viewport,
 Vector3f winCoordsDest)

Description copied from interface: Matrix4fc

Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.

This method transforms the given coordinates by this matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].

The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.

Specified by:

project in interface Matrix4fc

Parameters:

position - the position to project into window coordinates

viewport - the viewport described by [x, y, width, height]

winCoordsDest - will hold the projected window coordinates

Returns:

winCoordsDest

See Also:

• Matrix4fc.project(float, float, float, int[], Vector4f)

reflect

public Matrix4f reflect(float a,
 float b,
 float c,
 float d,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.

The vector (a, b, c) must be a unit vector.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Reference: msdn.microsoft.com

Specified by:

reflect in interface Matrix4fc

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

reflect

public Matrix4f reflect(float a,
 float b,
 float c,
 float d)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.

The vector (a, b, c) must be a unit vector.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Reference: msdn.microsoft.com

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

reflect

public Matrix4f reflect(float nx,
 float ny,
 float nz,
 float px,
 float py,
 float pz)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

Returns:

this

reflect

public Matrix4f reflect(float nx,
 float ny,
 float nz,
 float px,
 float py,
 float pz,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4fc

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

dest - will hold the result

Returns:

dest

reflect

public Matrix4f reflect(Vector3fc normal,
 Vector3fc point)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

normal - the plane normal

point - a point on the plane

Returns:

this

reflect

public Matrix4f reflect(Quaternionfc orientation,
 Vector3fc point)

Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionfc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

orientation - the plane orientation

point - a point on the plane

Returns:

this

reflect

public Matrix4f reflect(Quaternionfc orientation,
 Vector3fc point,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionfc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4fc

Parameters:

orientation - the plane orientation relative to an implied normal vector of (0, 0, 1)

point - a point on the plane

dest - will hold the result

Returns:

dest

reflect

public Matrix4f reflect(Vector3fc normal,
 Vector3fc point,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4fc

Parameters:

normal - the plane normal

point - a point on the plane

dest - will hold the result

Returns:

dest

reflection

public Matrix4f reflection(float a,
 float b,
 float c,
 float d)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.

The vector (a, b, c) must be a unit vector.

Reference: msdn.microsoft.com

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

reflection

public Matrix4f reflection(float nx,
 float ny,
 float nz,
 float px,
 float py,
 float pz)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

Returns:

this

reflection

public Matrix4f reflection(Vector3fc normal,
 Vector3fc point)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.

Parameters:

normal - the plane normal

point - a point on the plane

Returns:

this

reflection

public Matrix4f reflection(Quaternionfc orientation,
 Vector3fc point)

Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionfc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

Parameters:

orientation - the plane orientation

point - a point on the plane

Returns:

this

getRow

public Vector4f getRow(int row,
 Vector4f dest)
                throws IndexOutOfBoundsException

Description copied from interface: Matrix4fc

Get the row at the given row index, starting with 0.

Specified by:

getRow in interface Matrix4fc

Parameters:

row - the row index in [0..3]

dest - will hold the row components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if row is not in [0..3]

getRow

public Vector3f getRow(int row,
 Vector3f dest)
                throws IndexOutOfBoundsException

Description copied from interface: Matrix4fc

Get the first three components of the row at the given row index, starting with 0.

Specified by:

getRow in interface Matrix4fc

Parameters:

row - the row index in [0..3]

dest - will hold the first three row components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if row is not in [0..3]

setRow

public Matrix4f setRow(int row,
 Vector4fc src)
                throws IndexOutOfBoundsException

Set the row at the given row index, starting with 0.

Parameters:

row - the row index in [0..3]

src - the row components to set

Returns:

this

Throws:

IndexOutOfBoundsException - if row is not in [0..3]

getColumn

public Vector4f getColumn(int column,
 Vector4f dest)
                   throws IndexOutOfBoundsException

Description copied from interface: Matrix4fc

Get the column at the given column index, starting with 0.

Specified by:

getColumn in interface Matrix4fc

Parameters:

column - the column index in [0..3]

dest - will hold the column components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if column is not in [0..3]

getColumn

public Vector3f getColumn(int column,
 Vector3f dest)
                   throws IndexOutOfBoundsException

Description copied from interface: Matrix4fc

Get the first three components of the column at the given column index, starting with 0.

Specified by:

getColumn in interface Matrix4fc

Parameters:

column - the column index in [0..3]

dest - will hold the first three column components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if column is not in [0..3]

setColumn

public Matrix4f setColumn(int column,
 Vector4fc src)
                   throws IndexOutOfBoundsException

Set the column at the given column index, starting with 0.

Parameters:

column - the column index in [0..3]

src - the column components to set

Returns:

this

Throws:

IndexOutOfBoundsException - if column is not in [0..3]

get

public float get(int column,
 int row)

Description copied from interface: Matrix4fc

Get the matrix element value at the given column and row.

Specified by:

get in interface Matrix4fc

Parameters:

column - the colum index in [0..3]

row - the row index in [0..3]

Returns:

the element value

set

public Matrix4f set(int column,
 int row,
 float value)

Set the matrix element at the given column and row to the specified value.

Parameters:

column - the colum index in [0..3]

row - the row index in [0..3]

value - the value

Returns:

this

getRowColumn

public float getRowColumn(int row,
 int column)

Description copied from interface: Matrix4fc

Get the matrix element value at the given row and column.

Specified by:

getRowColumn in interface Matrix4fc

Parameters:

row - the row index in [0..3]

column - the colum index in [0..3]

Returns:

the element value

setRowColumn

public Matrix4f setRowColumn(int row,
 int column,
 float value)

Set the matrix element at the given row and column to the specified value.

Parameters:

row - the row index in [0..3]

column - the colum index in [0..3]

value - the value

Returns:

this

normal

public Matrix4f normal()

Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of this. All other values of this will be set to identity.

The normal matrix of m is the transpose of the inverse of m.

Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4f) to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix.

Returns:

this

See Also:

• set3x3(Matrix4f)

normal

public Matrix4f normal(Matrix4f dest)

Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of dest. All other values of dest will be set to identity.

The normal matrix of m is the transpose of the inverse of m.

Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4f) to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix.

Specified by:

normal in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

See Also:

• set3x3(Matrix4f)

normal

public Matrix3f normal(Matrix3f dest)

Compute a normal matrix from the upper left 3x3 submatrix of this and store it into dest.

The normal matrix of m is the transpose of the inverse of m.

Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use Matrix3f.set(Matrix4fc) to set a given Matrix3f to only the upper left 3x3 submatrix of this matrix.

Specified by:

normal in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

See Also:

• Matrix3f.set(Matrix4fc)
• get3x3(Matrix3f)

cofactor3x3

public Matrix4f cofactor3x3()

Compute the cofactor matrix of the upper left 3x3 submatrix of this.

The cofactor matrix can be used instead of normal() to transform normals when the orientation of the normals with respect to the surface should be preserved.

Returns:

this

cofactor3x3

public Matrix3f cofactor3x3(Matrix3f dest)

Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest.

The cofactor matrix can be used instead of normal(Matrix3f) to transform normals when the orientation of the normals with respect to the surface should be preserved.

Specified by:

cofactor3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

public Matrix4f cofactor3x3(Matrix4f dest)

Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest. All other values of dest will be set to identity.

The cofactor matrix can be used instead of normal(Matrix4f) to transform normals when the orientation of the normals with respect to the surface should be preserved.

Specified by:

cofactor3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

public Matrix4f normalize3x3()

Normalize the upper left 3x3 submatrix of this matrix.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Returns:

this

normalize3x3

public Matrix4f normalize3x3(Matrix4f dest)

Description copied from interface: Matrix4fc

Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Specified by:

normalize3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

public Matrix3f normalize3x3(Matrix3f dest)

Description copied from interface: Matrix4fc

Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Specified by:

normalize3x3 in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

frustumPlane

public Vector4f frustumPlane(int plane,
 Vector4f dest)

Description copied from interface: Matrix4fc

Calculate a frustum plane of this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given planeEquation.

Generally, this method computes the frustum plane in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.

The frustum plane will be given in the form of a general plane equation: a*x + b*y + c*z + d = 0, where the given Vector4f components will hold the (a, b, c, d) values of the equation.

The plane normal, which is (a, b, c), is directed "inwards" of the frustum. Any plane/point test using a*x + b*y + c*z + d therefore will yield a result greater than zero if the point is within the frustum (i.e. at the positive side of the frustum plane).

For performing frustum culling, the class FrustumIntersection should be used instead of manually obtaining the frustum planes and testing them against points, spheres or axis-aligned boxes.

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

frustumPlane in interface Matrix4fc

Parameters:

plane - one of the six possible planes, given as numeric constants Matrix4fc.PLANE_NX, Matrix4fc.PLANE_PX, Matrix4fc.PLANE_NY, Matrix4fc.PLANE_PY, Matrix4fc.PLANE_NZ and Matrix4fc.PLANE_PZ

dest - will hold the computed plane equation. The plane equation will be normalized, meaning that (a, b, c) will be a unit vector

Returns:

planeEquation

frustumCorner

public Vector3f frustumCorner(int corner,
 Vector3f point)

Description copied from interface: Matrix4fc

Compute the corner coordinates of the frustum defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given point.

Generally, this method computes the frustum corners in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.

Reference: http://geomalgorithms.com

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

frustumCorner in interface Matrix4fc

Parameters:

corner - one of the eight possible corners, given as numeric constants Matrix4fc.CORNER_NXNYNZ, Matrix4fc.CORNER_PXNYNZ, Matrix4fc.CORNER_PXPYNZ, Matrix4fc.CORNER_NXPYNZ, Matrix4fc.CORNER_PXNYPZ, Matrix4fc.CORNER_NXNYPZ, Matrix4fc.CORNER_NXPYPZ, Matrix4fc.CORNER_PXPYPZ

point - will hold the resulting corner point coordinates

Returns:

point

perspectiveOrigin

public Vector3f perspectiveOrigin(Vector3f origin)

Compute the eye/origin of the perspective frustum transformation defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given origin.

Note that this method will only work using perspective projections obtained via one of the perspective methods, such as perspective() or frustum().

Generally, this method computes the origin in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.

This method is equivalent to calling: invert(new Matrix4f()).transformProject(0, 0, -1, 0, origin) and in the case of an already available inverse of this matrix, the method perspectiveInvOrigin(Vector3f) on the inverse of the matrix should be used instead.

Reference: http://geomalgorithms.com

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

perspectiveOrigin in interface Matrix4fc

Parameters:

origin - will hold the origin of the coordinate system before applying this perspective projection transformation

Returns:

origin

See Also:

• perspectiveInvOrigin(Vector3f)

perspectiveInvOrigin

public Vector3f perspectiveInvOrigin(Vector3f dest)

Compute the eye/origin of the inverse of the perspective frustum transformation defined by this matrix, which can be the inverse of a projection matrix or the inverse of a combined modelview-projection matrix, and store the result in the given dest.

Note that this method will only work using perspective projections obtained via one of the perspective methods, such as perspective() or frustum().

If the inverse of the modelview-projection matrix is not available, then calling perspectiveOrigin(Vector3f) on the original modelview-projection matrix is preferred.

Specified by:

perspectiveInvOrigin in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

See Also:

• perspectiveOrigin(Vector3f)

perspectiveFov

public float perspectiveFov()

Return the vertical field-of-view angle in radians of this perspective transformation matrix.

Note that this method will only work using perspective projections obtained via one of the perspective methods, such as perspective() or frustum().

For orthogonal transformations this method will return 0.0.

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

perspectiveFov in interface Matrix4fc

Returns:

the vertical field-of-view angle in radians

perspectiveNear

public float perspectiveNear()

Extract the near clip plane distance from this perspective projection matrix.

This method only works if this is a perspective projection matrix, for example obtained via perspective(float, float, float, float).

Specified by:

perspectiveNear in interface Matrix4fc

Returns:

the near clip plane distance

perspectiveFar

public float perspectiveFar()

Extract the far clip plane distance from this perspective projection matrix.

This method only works if this is a perspective projection matrix, for example obtained via perspective(float, float, float, float).

Specified by:

perspectiveFar in interface Matrix4fc

Returns:

the far clip plane distance

frustumRayDir

public Vector3f frustumRayDir(float x,
 float y,
 Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.

This method computes the dir vector in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.

The parameters x and y are used to interpolate the generated ray direction from the bottom-left to the top-right frustum corners.

For optimal efficiency when building many ray directions over the whole frustum, it is recommended to use this method only in order to compute the four corner rays at (0, 0), (1, 0), (0, 1) and (1, 1) and then bilinearly interpolating between them; or to use the FrustumRayBuilder.

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

frustumRayDir in interface Matrix4fc

Parameters:

x - the interpolation factor along the left-to-right frustum planes, within [0..1]

y - the interpolation factor along the bottom-to-top frustum planes, within [0..1]

dir - will hold the normalized ray direction in the local frame of the coordinate system before transforming to homogeneous clipping space using this matrix

Returns:

dir

positiveZ

public Vector3f positiveZ(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +Z before the transformation represented by this matrix is applied.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4fc.normalizedPositiveZ(Vector3f) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveZ in interface Matrix4fc

Parameters:

dir - will hold the direction of +Z

Returns:

dir

normalizedPositiveZ

public Vector3f normalizedPositiveZ(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +Z before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).transpose();
 inv.transformDirection(dir.set(0, 0, 1));
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveZ in interface Matrix4fc

Parameters:

dir - will hold the direction of +Z

Returns:

dir

positiveX

public Vector3f positiveX(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +X before the transformation represented by this matrix is applied.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4fc.normalizedPositiveX(Vector3f) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveX in interface Matrix4fc

Parameters:

dir - will hold the direction of +X

Returns:

dir

normalizedPositiveX

public Vector3f normalizedPositiveX(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).transpose();
 inv.transformDirection(dir.set(1, 0, 0));
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveX in interface Matrix4fc

Parameters:

dir - will hold the direction of +X

Returns:

dir

positiveY

public Vector3f positiveY(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +Y before the transformation represented by this matrix is applied.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4fc.normalizedPositiveY(Vector3f) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveY in interface Matrix4fc

Parameters:

dir - will hold the direction of +Y

Returns:

dir

normalizedPositiveY

public Vector3f normalizedPositiveY(Vector3f dir)

Description copied from interface: Matrix4fc

Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).transpose();
 inv.transformDirection(dir.set(0, 1, 0));
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveY in interface Matrix4fc

Parameters:

dir - will hold the direction of +Y

Returns:

dir

originAffine

public Vector3f originAffine(Vector3f origin)

Description copied from interface: Matrix4fc

Obtain the position that gets transformed to the origin by this affine matrix. This can be used to get the position of the "camera" from a given view transformation matrix.

This method only works with affine matrices.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).invertAffine();
 inv.transformPosition(origin.set(0, 0, 0));
 

Specified by:

originAffine in interface Matrix4fc

Parameters:

origin - will hold the position transformed to the origin

Returns:

origin

origin

public Vector3f origin(Vector3f dest)

Description copied from interface: Matrix4fc

Obtain the position that gets transformed to the origin by this matrix. This can be used to get the position of the "camera" from a given view/projection transformation matrix.

This method is equivalent to the following code:

 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformPosition(origin.set(0, 0, 0));
 

Specified by:

origin in interface Matrix4fc

Parameters:

dest - will hold the position transformed to the origin

Returns:

origin

shadow

public Matrix4f shadow(Vector4f light,
 float a,
 float b,
 float c,
 float d)

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Parameters:

light - the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

shadow

public Matrix4f shadow(Vector4f light,
 float a,
 float b,
 float c,
 float d,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light and store the result in dest.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Specified by:

shadow in interface Matrix4fc

Parameters:

light - the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

shadow

public Matrix4f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 float a,
 float b,
 float c,
 float d)

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Parameters:

lightX - the x-component of the light's vector

lightY - the y-component of the light's vector

lightZ - the z-component of the light's vector

lightW - the w-component of the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

shadow

public Matrix4f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 float a,
 float b,
 float c,
 float d,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Specified by:

shadow in interface Matrix4fc

Parameters:

lightX - the x-component of the light's vector

lightY - the y-component of the light's vector

lightZ - the z-component of the light's vector

lightW - the w-component of the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

shadow

public Matrix4f shadow(Vector4f light,
 Matrix4fc planeTransform,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light and store the result in dest.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Specified by:

shadow in interface Matrix4fc

Parameters:

light - the light's vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

dest - will hold the result

Returns:

dest

shadow

public Matrix4f shadow(Vector4f light,
 Matrix4f planeTransform)

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Parameters:

light - the light's vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

Returns:

this

shadow

public Matrix4f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 Matrix4fc planeTransform,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Specified by:

shadow in interface Matrix4fc

Parameters:

lightX - the x-component of the light vector

lightY - the y-component of the light vector

lightZ - the z-component of the light vector

lightW - the w-component of the light vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

dest - will hold the result

Returns:

dest

shadow

public Matrix4f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 Matrix4f planeTransform)

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Parameters:

lightX - the x-component of the light vector

lightY - the y-component of the light vector

lightZ - the z-component of the light vector

lightW - the w-component of the light vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

Returns:

this

billboardCylindrical

public Matrix4f billboardCylindrical(Vector3fc objPos,
 Vector3fc targetPos,
 Vector3fc up)

Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos while constraining a cylindrical rotation around the given up vector.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

up - the rotation axis (must be normalized)

Returns:

this

billboardSpherical

public Matrix4f billboardSpherical(Vector3fc objPos,
 Vector3fc targetPos,
 Vector3fc up)

Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

If preserving an up vector is not necessary when rotating the +Z axis, then a shortest arc rotation can be obtained using billboardSpherical(Vector3fc, Vector3fc).

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

up - the up axis used to orient the object

Returns:

this

See Also:

• billboardSpherical(Vector3fc, Vector3fc)

billboardSpherical

public Matrix4f billboardSpherical(Vector3fc objPos,
 Vector3fc targetPos)

Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

In order to specify an up vector which needs to be maintained when rotating the +Z axis of the object, use billboardSpherical(Vector3fc, Vector3fc, Vector3fc).

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

Returns:

this

See Also:

• billboardSpherical(Vector3fc, Vector3fc, Vector3fc)

hashCode

public int hashCode()

Overrides:

hashCode in class Object

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

equals

public boolean equals(Matrix4fc m,
 float delta)

Description copied from interface: Matrix4fc

Compare the matrix elements of this matrix with the given matrix using the given delta and return whether all of them are equal within a maximum difference of delta.

Please note that this method is not used by any data structure such as ArrayList HashSet or HashMap and their operations, such as ArrayList.contains(Object) or HashSet.remove(Object), since those data structures only use the Object.equals(Object) and Object.hashCode() methods.

Specified by:

equals in interface Matrix4fc

Parameters:

m - the other matrix

delta - the allowed maximum difference

Returns:

true whether all of the matrix elements are equal; false otherwise

pick

public Matrix4f pick(float x,
 float y,
 float width,
 float height,
 int[] viewport,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.

Specified by:

pick in interface Matrix4fc

Parameters:

x - the x coordinate of the picking region center in window coordinates

y - the y coordinate of the picking region center in window coordinates

width - the width of the picking region in window coordinates

height - the height of the picking region in window coordinates

viewport - the viewport described by [x, y, width, height]

dest - the destination matrix, which will hold the result

Returns:

dest

pick

public Matrix4f pick(float x,
 float y,
 float width,
 float height,
 int[] viewport)

Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.

Parameters:

x - the x coordinate of the picking region center in window coordinates

y - the y coordinate of the picking region center in window coordinates

width - the width of the picking region in window coordinates

height - the height of the picking region in window coordinates

viewport - the viewport described by [x, y, width, height]

Returns:

this

isAffine

public boolean isAffine()

Description copied from interface: Matrix4fc

Determine whether this matrix describes an affine transformation. This is the case iff its last row is equal to (0, 0, 0, 1).

Specified by:

isAffine in interface Matrix4fc

Returns:

true iff this matrix is affine; false otherwise

swap

public Matrix4f swap(Matrix4f other)

Exchange the values of this matrix with the given other matrix.

Parameters:

other - the other matrix to exchange the values with

Returns:

this

arcball

public Matrix4f arcball(float radius,
 float centerX,
 float centerY,
 float centerZ,
 float angleX,
 float angleY,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles, and store the result in dest.

This method is equivalent to calling: translate(0, 0, -radius, dest).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)

Specified by:

arcball in interface Matrix4fc

Parameters:

radius - the arcball radius

centerX - the x coordinate of the center position of the arcball

centerY - the y coordinate of the center position of the arcball

centerZ - the z coordinate of the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

dest - will hold the result

Returns:

dest

arcball

public Matrix4f arcball(float radius,
 Vector3fc center,
 float angleX,
 float angleY,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles, and store the result in dest.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)

Specified by:

arcball in interface Matrix4fc

Parameters:

radius - the arcball radius

center - the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

dest - will hold the result

Returns:

dest

arcball

public Matrix4f arcball(float radius,
 float centerX,
 float centerY,
 float centerZ,
 float angleX,
 float angleY)

Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)

Parameters:

radius - the arcball radius

centerX - the x coordinate of the center position of the arcball

centerY - the y coordinate of the center position of the arcball

centerZ - the z coordinate of the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

Returns:

this

arcball

public Matrix4f arcball(float radius,
 Vector3fc center,
 float angleX,
 float angleY)

Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)

Parameters:

radius - the arcball radius

center - the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

Returns:

this

frustumAabb

public Matrix4f frustumAabb(Vector3f min,
 Vector3f max)

Compute the axis-aligned bounding box of the frustum described by this matrix and store the minimum corner coordinates in the given min and the maximum corner coordinates in the given max vector.

The matrix this is assumed to be the inverse of the origial view-projection matrix for which to compute the axis-aligned bounding box in world-space.

The axis-aligned bounding box of the unit frustum is (-1, -1, -1), (1, 1, 1).

Specified by:

frustumAabb in interface Matrix4fc

Parameters:

min - will hold the minimum corner coordinates of the axis-aligned bounding box

max - will hold the maximum corner coordinates of the axis-aligned bounding box

Returns:

this

projectedGridRange

public Matrix4f projectedGridRange(Matrix4fc projector,
 float sLower,
 float sUpper,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Compute the range matrix for the Projected Grid transformation as described in chapter "2.4.2 Creating the range conversion matrix" of the paper Real-time water rendering - Introducing the projected grid concept based on the inverse of the view-projection matrix which is assumed to be this, and store that range matrix into dest.

If the projected grid will not be visible then this method returns null.

This method uses the y = 0 plane for the projection.

Specified by:

projectedGridRange in interface Matrix4fc

Parameters:

projector - the projector view-projection transformation

sLower - the lower (smallest) Y-coordinate which any transformed vertex might have while still being visible on the projected grid

sUpper - the upper (highest) Y-coordinate which any transformed vertex might have while still being visible on the projected grid

dest - will hold the resulting range matrix

Returns:

the computed range matrix; or null if the projected grid will not be visible

perspectiveFrustumSlice

public Matrix4f perspectiveFrustumSlice(float near,
 float far,
 Matrix4f dest)

Change the near and far clip plane distances of this perspective frustum transformation matrix and store the result in dest.

This method only works if this is a perspective projection frustum transformation, for example obtained via perspective() or frustum().

Specified by:

perspectiveFrustumSlice in interface Matrix4fc

Parameters:

near - the new near clip plane distance

far - the new far clip plane distance

dest - will hold the resulting matrix

Returns:

dest

See Also:

• perspective(float, float, float, float)
• frustum(float, float, float, float, float, float)

orthoCrop

public Matrix4f orthoCrop(Matrix4fc view,
 Matrix4f dest)

Build an ortographic projection transformation that fits the view-projection transformation represented by this into the given affine view transformation.

The transformation represented by this must be given as the inverse of a typical combined camera view-projection transformation, whose projection can be either orthographic or perspective.

The view must be an affine transformation which in the application of Cascaded Shadow Maps is usually the light view transformation. It be obtained via any affine transformation or for example via lookAt().

Reference: OpenGL SDK - Cascaded Shadow Maps

Specified by:

orthoCrop in interface Matrix4fc

Parameters:

view - the view transformation to build a corresponding orthographic projection to fit the frustum of this

dest - will hold the crop projection transformation

Returns:

dest

trapezoidCrop

public Matrix4f trapezoidCrop(float p0x,
 float p0y,
 float p1x,
 float p1y,
 float p2x,
 float p2y,
 float p3x,
 float p3y)

Set this matrix to a perspective transformation that maps the trapezoid spanned by the four corner coordinates (p0x, p0y), (p1x, p1y), (p2x, p2y) and (p3x, p3y) to the unit square [(-1, -1)..(+1, +1)].

The corner coordinates are given in counter-clockwise order starting from the left corner on the smaller parallel side of the trapezoid seen when looking at the trapezoid oriented with its shorter parallel edge at the bottom and its longer parallel edge at the top.

Reference: Trapezoidal Shadow Maps (TSM) - Recipe

Parameters:

p0x - the x coordinate of the left corner at the shorter edge of the trapezoid

p0y - the y coordinate of the left corner at the shorter edge of the trapezoid

p1x - the x coordinate of the right corner at the shorter edge of the trapezoid

p1y - the y coordinate of the right corner at the shorter edge of the trapezoid

p2x - the x coordinate of the right corner at the longer edge of the trapezoid

p2y - the y coordinate of the right corner at the longer edge of the trapezoid

p3x - the x coordinate of the left corner at the longer edge of the trapezoid

p3y - the y coordinate of the left corner at the longer edge of the trapezoid

Returns:

this

transformAab

public Matrix4f transformAab(float minX,
 float minY,
 float minZ,
 float maxX,
 float maxY,
 float maxZ,
 Vector3f outMin,
 Vector3f outMax)

Description copied from interface: Matrix4fc

Transform the axis-aligned box given as the minimum corner (minX, minY, minZ) and maximum corner (maxX, maxY, maxZ) by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.

Reference: http://dev.theomader.com

Specified by:

transformAab in interface Matrix4fc

Parameters:

minX - the x coordinate of the minimum corner of the axis-aligned box

minY - the y coordinate of the minimum corner of the axis-aligned box

minZ - the z coordinate of the minimum corner of the axis-aligned box

maxX - the x coordinate of the maximum corner of the axis-aligned box

maxY - the y coordinate of the maximum corner of the axis-aligned box

maxZ - the y coordinate of the maximum corner of the axis-aligned box

outMin - will hold the minimum corner of the resulting axis-aligned box

outMax - will hold the maximum corner of the resulting axis-aligned box

Returns:

this

transformAab

public Matrix4f transformAab(Vector3fc min,
 Vector3fc max,
 Vector3f outMin,
 Vector3f outMax)

Description copied from interface: Matrix4fc

Transform the axis-aligned box given as the minimum corner min and maximum corner max by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.

Specified by:

transformAab in interface Matrix4fc

Parameters:

min - the minimum corner of the axis-aligned box

max - the maximum corner of the axis-aligned box

outMin - will hold the minimum corner of the resulting axis-aligned box

outMax - will hold the maximum corner of the resulting axis-aligned box

Returns:

this

lerp

public Matrix4f lerp(Matrix4fc other,
 float t)

Linearly interpolate this and other using the given interpolation factor t and store the result in this.

If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.

Parameters:

other - the other matrix

t - the interpolation factor between 0.0 and 1.0

Returns:

this

lerp

public Matrix4f lerp(Matrix4fc other,
 float t,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Linearly interpolate this and other using the given interpolation factor t and store the result in dest.

If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.

Specified by:

lerp in interface Matrix4fc

Parameters:

other - the other matrix

t - the interpolation factor between 0.0 and 1.0

dest - will hold the result

Returns:

dest

rotateTowards

public Matrix4f rotateTowards(Vector3fc dir,
 Vector3fc up,
 Matrix4f dest)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mulAffine(new Matrix4f().lookAt(new Vector3f(), new Vector3f(dir).negate(), up).invertAffine(), dest)

Specified by:

rotateTowards in interface Matrix4fc

Parameters:

dir - the direction to rotate towards

up - the up vector

dest - will hold the result

Returns:

dest

See Also:

• rotateTowards(float, float, float, float, float, float, Matrix4f)
• rotationTowards(Vector3fc, Vector3fc)

rotateTowards

public Matrix4f rotateTowards(Vector3fc dir,
 Vector3fc up)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mulAffine(new Matrix4f().lookAt(new Vector3f(), new Vector3f(dir).negate(), up).invertAffine())

Parameters:

dir - the direction to orient towards

up - the up vector

Returns:

this

See Also:

• rotateTowards(float, float, float, float, float, float)
• rotationTowards(Vector3fc, Vector3fc)

rotateTowards

public Matrix4f rotateTowards(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ).

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mulAffine(new Matrix4f().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine())

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• rotateTowards(Vector3fc, Vector3fc)
• rotationTowards(float, float, float, float, float, float)

rotateTowards

public Matrix4f rotateTowards(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ) and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mulAffine(new Matrix4f().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine(), dest)

Specified by:

rotateTowards in interface Matrix4fc

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• rotateTowards(Vector3fc, Vector3fc)
• rotationTowards(float, float, float, float, float, float)

rotationTowards

public Matrix4f rotationTowards(Vector3fc dir,
 Vector3fc up)

Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.

In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.

This method is equivalent to calling: setLookAt(new Vector3f(), new Vector3f(dir).negate(), up).invertAffine()

Parameters:

dir - the direction to orient the local -z axis towards

up - the up vector

Returns:

this

See Also:

• rotationTowards(Vector3fc, Vector3fc)
• rotateTowards(float, float, float, float, float, float)

rotationTowards

public Matrix4f rotationTowards(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ)

Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with (dirX, dirY, dirZ).

In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.

This method is equivalent to calling: setLookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine()

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• rotateTowards(Vector3fc, Vector3fc)
• rotationTowards(float, float, float, float, float, float)

translationRotateTowards

public Matrix4f translationRotateTowards(Vector3fc pos,
 Vector3fc dir,
 Vector3fc up)

Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given pos and aligns the local -z axis with dir.

This method is equivalent to calling: translation(pos).rotateTowards(dir, up)

Parameters:

pos - the position to translate to

dir - the direction to rotate towards

up - the up vector

Returns:

this

See Also:

• translation(Vector3fc)
• rotateTowards(Vector3fc, Vector3fc)

translationRotateTowards

public Matrix4f translationRotateTowards(float posX,
 float posY,
 float posZ,
 float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ)

Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given (posX, posY, posZ) and aligns the local -z axis with (dirX, dirY, dirZ).

This method is equivalent to calling: translation(posX, posY, posZ).rotateTowards(dirX, dirY, dirZ, upX, upY, upZ)

Parameters:

posX - the x-coordinate of the position to translate to

posY - the y-coordinate of the position to translate to

posZ - the z-coordinate of the position to translate to

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• translation(float, float, float)
• rotateTowards(float, float, float, float, float, float)

getEulerAnglesZYX

public Vector3f getEulerAnglesZYX(Vector3f dest)

Description copied from interface: Matrix4fc

Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the upper left of this only represents a rotation without scaling.

The Euler angles are always returned as the angle around X in the Vector3f.x field, the angle around Y in the Vector3f.y field and the angle around Z in the Vector3f.z field of the supplied Vector3f instance.

Note that the returned Euler angles must be applied in the order Z * Y * X to obtain the identical matrix. This means that calling Matrix4fc.rotateZYX(float, float, float, Matrix4f) using the obtained Euler angles will yield the same rotation as the original matrix from which the Euler angles were obtained, so in the below code the matrix m2 should be identical to m (disregarding possible floating-point inaccuracies).

 Matrix4f m = ...; // <- matrix only representing rotation
 Matrix4f n = new Matrix4f();
 n.rotateZYX(m.getEulerAnglesZYX(new Vector3f()));
 

Reference: http://nghiaho.com/

Specified by:

getEulerAnglesZYX in interface Matrix4fc

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

getEulerAnglesXYZ

public Vector3f getEulerAnglesXYZ(Vector3f dest)

Description copied from interface: Matrix4fc

Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the upper left of this only represents a rotation without scaling.

The Euler angles are always returned as the angle around X in the Vector3f.x field, the angle around Y in the Vector3f.y field and the angle around Z in the Vector3f.z field of the supplied Vector3f instance.

Note that the returned Euler angles must be applied in the order X * Y * Z to obtain the identical matrix. This means that calling Matrix4fc.rotateXYZ(float, float, float, Matrix4f) using the obtained Euler angles will yield the same rotation as the original matrix from which the Euler angles were obtained, so in the below code the matrix m2 should be identical to m (disregarding possible floating-point inaccuracies).

 Matrix4f m = ...; // <- matrix only representing rotation
 Matrix4f n = new Matrix4f();
 n.rotateXYZ(m.getEulerAnglesXYZ(new Vector3f()));
 

Reference: http://en.wikipedia.org/

Specified by:

getEulerAnglesXYZ in interface Matrix4fc

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

affineSpan

public Matrix4f affineSpan(Vector3f corner,
 Vector3f xDir,
 Vector3f yDir,
 Vector3f zDir)

Compute the extents of the coordinate system before this affine transformation was applied and store the resulting corner coordinates in corner and the span vectors in xDir, yDir and zDir.

That means, given the maximum extents of the coordinate system between [-1..+1] in all dimensions, this method returns one corner and the length and direction of the three base axis vectors in the coordinate system before this transformation is applied, which transforms into the corner coordinates [-1, +1].

This method is equivalent to computing at least three adjacent corners using frustumCorner(int, Vector3f) and subtracting them to obtain the length and direction of the span vectors.

Parameters:

corner - will hold one corner of the span (usually the corner Matrix4fc.CORNER_NXNYNZ)

xDir - will hold the direction and length of the span along the positive X axis

yDir - will hold the direction and length of the span along the positive Y axis

zDir - will hold the direction and length of the span along the positive z axis

Returns:

this

testPoint

public boolean testPoint(float x,
 float y,
 float z)

Description copied from interface: Matrix4fc

Test whether the given point (x, y, z) is within the frustum defined by this matrix.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given point with the coordinates (x, y, z) given in space M is within the clip space.

When testing multiple points using the same transformation matrix, FrustumIntersection should be used instead.

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

testPoint in interface Matrix4fc

Parameters:

x - the x-coordinate of the point

y - the y-coordinate of the point

z - the z-coordinate of the point

Returns:

true if the given point is inside the frustum; false otherwise

testSphere

public boolean testSphere(float x,
 float y,
 float z,
 float r)

Description copied from interface: Matrix4fc

Test whether the given sphere is partly or completely within or outside of the frustum defined by this matrix.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given sphere with the coordinates (x, y, z) given in space M is within the clip space.

When testing multiple spheres using the same transformation matrix, or more sophisticated/optimized intersection algorithms are required, FrustumIntersection should be used instead.

The algorithm implemented by this method is conservative. This means that in certain circumstances a false positive can occur, when the method returns true for spheres that are actually not visible. See iquilezles.org for an examination of this problem.

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

testSphere in interface Matrix4fc

Parameters:

x - the x-coordinate of the sphere's center

y - the y-coordinate of the sphere's center

z - the z-coordinate of the sphere's center

r - the sphere's radius

Returns:

true if the given sphere is partly or completely inside the frustum; false otherwise

testAab

public boolean testAab(float minX,
 float minY,
 float minZ,
 float maxX,
 float maxY,
 float maxZ)

Description copied from interface: Matrix4fc

Test whether the given axis-aligned box is partly or completely within or outside of the frustum defined by this matrix. The box is specified via its min and max corner coordinates.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given axis-aligned box with its minimum corner coordinates (minX, minY, minZ) and maximum corner coordinates (maxX, maxY, maxZ) given in space M is within the clip space.

When testing multiple axis-aligned boxes using the same transformation matrix, or more sophisticated/optimized intersection algorithms are required, FrustumIntersection should be used instead.

The algorithm implemented by this method is conservative. This means that in certain circumstances a false positive can occur, when the method returns -1 for boxes that are actually not visible/do not intersect the frustum. See iquilezles.org for an examination of this problem.

Reference: Efficient View Frustum Culling
Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

testAab in interface Matrix4fc

Parameters:

minX - the x-coordinate of the minimum corner

minY - the y-coordinate of the minimum corner

minZ - the z-coordinate of the minimum corner

maxX - the x-coordinate of the maximum corner

maxY - the y-coordinate of the maximum corner

maxZ - the z-coordinate of the maximum corner

Returns:

true if the axis-aligned box is completely or partly inside of the frustum; false otherwise

obliqueZ

public Matrix4f obliqueZ(float a,
 float b)

Apply an oblique projection transformation to this matrix with the given values for a and b.

If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!

The oblique transformation is defined as:

 x' = x + a*z
 y' = y + a*z
 z' = z
 

or in matrix form:

 1 0 a 0
 0 1 b 0
 0 0 1 0
 0 0 0 1
 

Parameters:

a - the value for the z factor that applies to x

b - the value for the z factor that applies to y

Returns:

this

obliqueZ

public Matrix4f obliqueZ(float a,
 float b,
 Matrix4f dest)

Apply an oblique projection transformation to this matrix with the given values for a and b and store the result in dest.

If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!

The oblique transformation is defined as:

 x' = x + a*z
 y' = y + a*z
 z' = z
 

or in matrix form:

 1 0 a 0
 0 1 b 0
 0 0 1 0
 0 0 0 1
 

Specified by:

obliqueZ in interface Matrix4fc

Parameters:

a - the value for the z factor that applies to x

b - the value for the z factor that applies to y

dest - will hold the result

Returns:

dest

perspectiveOffCenterViewFromRectangle

public static void perspectiveOffCenterViewFromRectangle(Vector3f eye,
 Vector3f p,
 Vector3f x,
 Vector3f y,
 float nearFarDist,
 boolean zeroToOne,
 Matrix4f projDest,
 Matrix4f viewDest)

Create a view and off-center perspective projection matrix from a given eye position, a given bottom left corner position p of the near plane rectangle and the extents of the near plane rectangle along its local x and y axes, and store the resulting matrices in projDest and viewDest.

This method creates a view and perspective projection matrix assuming that there is a pinhole camera at position eye projecting the scene onto the near plane defined by the rectangle.

All positions and lengths are in the same (world) unit.

Parameters:

eye - the position of the camera

p - the bottom left corner of the near plane rectangle (will map to the bottom left corner in window coordinates)

x - the direction and length of the local "bottom/top" X axis/side of the near plane rectangle

y - the direction and length of the local "left/right" Y axis/side of the near plane rectangle

nearFarDist - the distance between the far and near plane (the near plane will be calculated by this method). If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. If the special value Float.NEGATIVE_INFINITY is used, the near and far planes will be swapped and the near clipping plane will be at positive infinity. If a negative value is used (except for Float.NEGATIVE_INFINITY) the near and far planes will be swapped

zeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

projDest - will hold the resulting off-center perspective projection matrix

viewDest - will hold the resulting view matrix

withLookAtUp

public Matrix4f withLookAtUp(Vector3fc up)

Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3f)) and the given vector up.

This effectively ensures that the resulting matrix will be equal to the one obtained from setLookAt(Vector3fc, Vector3fc, Vector3fc) called with the current local origin of this matrix (as obtained by originAffine(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector up.

This method must only be called on isAffine() matrices.

Parameters:

up - the up vector

Returns:

this

withLookAtUp

public Matrix4f withLookAtUp(Vector3fc up,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4fc.positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4fc.positiveZ(Vector3f)) and the given vector up, and store the result in dest.

This effectively ensures that the resulting matrix will be equal to the one obtained from calling setLookAt(Vector3fc, Vector3fc, Vector3fc) with the current local origin of this matrix (as obtained by Matrix4fc.originAffine(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector up.

This method must only be called on Matrix4fc.isAffine() matrices.

Specified by:

withLookAtUp in interface Matrix4fc

Parameters:

up - the up vector

dest - will hold the result

Returns:

this

withLookAtUp

public Matrix4f withLookAtUp(float upX,
 float upY,
 float upZ)

Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3f)) and the given vector (upX, upY, upZ).

This effectively ensures that the resulting matrix will be equal to the one obtained from setLookAt(float, float, float, float, float, float, float, float, float) called with the current local origin of this matrix (as obtained by originAffine(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector (upX, upY, upZ).

This method must only be called on isAffine() matrices.

Parameters:

upX - the x coordinate of the up vector

upY - the y coordinate of the up vector

upZ - the z coordinate of the up vector

Returns:

this

withLookAtUp

public Matrix4f withLookAtUp(float upX,
 float upY,
 float upZ,
 Matrix4f dest)

Description copied from interface: Matrix4fc

Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4fc.positiveY(Vector3f)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4fc.positiveZ(Vector3f)) and the given vector (upX, upY, upZ), and store the result in dest.

This effectively ensures that the resulting matrix will be equal to the one obtained from calling setLookAt(float, float, float, float, float, float, float, float, float) called with the current local origin of this matrix (as obtained by Matrix4fc.originAffine(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector (upX, upY, upZ).

This method must only be called on Matrix4fc.isAffine() matrices.

Specified by:

withLookAtUp in interface Matrix4fc

Parameters:

upX - the x coordinate of the up vector

upY - the y coordinate of the up vector

upZ - the z coordinate of the up vector

dest - will hold the result

Returns:

this

mapXZY

public Matrix4f mapXZY()

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 0 0 0 1
 

Returns:

this

mapXZY

public Matrix4f mapXZY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 0 0 0 1
 

and store the result in dest.

Specified by:

mapXZY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapXZnY

public Matrix4f mapXZnY()

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 0 0  0 1
 

Returns:

this

mapXZnY

public Matrix4f mapXZnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 0 0  0 1
 

and store the result in dest.

Specified by:

mapXZnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapXnYnZ

public Matrix4f mapXnYnZ()

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 0  0  0 1
 

Returns:

this

mapXnYnZ

public Matrix4f mapXnYnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapXnYnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapXnZY

public Matrix4f mapXnZY()

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 0  0 0 1
 

Returns:

this

mapXnZY

public Matrix4f mapXnZY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 0  0 0 1
 

and store the result in dest.

Specified by:

mapXnZY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapXnZnY

public Matrix4f mapXnZnY()

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 0  0  0 1
 

Returns:

this

mapXnZnY

public Matrix4f mapXnZnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapXnZnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYXZ

public Matrix4f mapYXZ()

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 0 0 0 1
 

Returns:

this

mapYXZ

public Matrix4f mapYXZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 0 0 0 1
 

and store the result in dest.

Specified by:

mapYXZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYXnZ

public Matrix4f mapYXnZ()

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 0 0  0 1
 

Returns:

this

mapYXnZ

public Matrix4f mapYXnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 0 0  0 1
 

and store the result in dest.

Specified by:

mapYXnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYZX

public Matrix4f mapYZX()

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 0 0 0 1
 

Returns:

this

mapYZX

public Matrix4f mapYZX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 0 0 0 1
 

and store the result in dest.

Specified by:

mapYZX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYZnX

public Matrix4f mapYZnX()

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 0 0  0 1
 

Returns:

this

mapYZnX

public Matrix4f mapYZnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 0 0  0 1
 

and store the result in dest.

Specified by:

mapYZnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYnXZ

public Matrix4f mapYnXZ()

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 0  0 0 1
 

Returns:

this

mapYnXZ

public Matrix4f mapYnXZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 0  0 0 1
 

and store the result in dest.

Specified by:

mapYnXZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYnXnZ

public Matrix4f mapYnXnZ()

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 0  0  0 1
 

Returns:

this

mapYnXnZ

public Matrix4f mapYnXnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapYnXnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYnZX

public Matrix4f mapYnZX()

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 0  0 0 1
 

Returns:

this

mapYnZX

public Matrix4f mapYnZX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 0  0 0 1
 

and store the result in dest.

Specified by:

mapYnZX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapYnZnX

public Matrix4f mapYnZnX()

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 0  0  0 1
 

Returns:

this

mapYnZnX

public Matrix4f mapYnZnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapYnZnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZXY

public Matrix4f mapZXY()

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 0 0 0 1
 

Returns:

this

mapZXY

public Matrix4f mapZXY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 0 0 0 1
 

and store the result in dest.

Specified by:

mapZXY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZXnY

public Matrix4f mapZXnY()

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 0 0  0 1
 

Returns:

this

mapZXnY

public Matrix4f mapZXnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 0 0  0 1
 

and store the result in dest.

Specified by:

mapZXnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZYX

public Matrix4f mapZYX()

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 0 0 0 1
 

Returns:

this

mapZYX

public Matrix4f mapZYX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 0 0 0 1
 

and store the result in dest.

Specified by:

mapZYX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZYnX

public Matrix4f mapZYnX()

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 0 0  0 1
 

Returns:

this

mapZYnX

public Matrix4f mapZYnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 0 0  0 1
 

and store the result in dest.

Specified by:

mapZYnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZnXY

public Matrix4f mapZnXY()

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 0  0 0 1
 

Returns:

this

mapZnXY

public Matrix4f mapZnXY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 0  0 0 1
 

and store the result in dest.

Specified by:

mapZnXY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZnXnY

public Matrix4f mapZnXnY()

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 0  0  0 1
 

Returns:

this

mapZnXnY

public Matrix4f mapZnXnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapZnXnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZnYX

public Matrix4f mapZnYX()

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 0  0 0 1
 

Returns:

this

mapZnYX

public Matrix4f mapZnYX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 0  0 0 1
 

and store the result in dest.

Specified by:

mapZnYX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapZnYnX

public Matrix4f mapZnYnX()

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 0  0  0 1
 

Returns:

this

mapZnYnX

public Matrix4f mapZnYnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 0  0  0 1
 

and store the result in dest.

Specified by:

mapZnYnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXYnZ

public Matrix4f mapnXYnZ()

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
  0 0  0 1
 

Returns:

this

mapnXYnZ

public Matrix4f mapnXYnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnXYnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXZY

public Matrix4f mapnXZY()

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
  0 0 0 1
 

Returns:

this

mapnXZY

public Matrix4f mapnXZY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
  0 0 0 1
 

and store the result in dest.

Specified by:

mapnXZY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXZnY

public Matrix4f mapnXZnY()

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
  0 0  0 1
 

Returns:

this

mapnXZnY

public Matrix4f mapnXZnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnXZnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYZ

public Matrix4f mapnXnYZ()

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
  0  0 0 1
 

Returns:

this

mapnXnYZ

public Matrix4f mapnXnYZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnXnYZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYnZ

public Matrix4f mapnXnYnZ()

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
  0  0  0 1
 

Returns:

this

mapnXnYnZ

public Matrix4f mapnXnYnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnXnYnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZY

public Matrix4f mapnXnZY()

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
  0  0 0 1
 

Returns:

this

mapnXnZY

public Matrix4f mapnXnZY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnXnZY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZnY

public Matrix4f mapnXnZnY()

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
  0  0  0 1
 

Returns:

this

mapnXnZnY

public Matrix4f mapnXnZnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnXnZnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYXZ

public Matrix4f mapnYXZ()

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
  0 0 0 1
 

Returns:

this

mapnYXZ

public Matrix4f mapnYXZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
  0 0 0 1
 

and store the result in dest.

Specified by:

mapnYXZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYXnZ

public Matrix4f mapnYXnZ()

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
  0 0  0 1
 

Returns:

this

mapnYXnZ

public Matrix4f mapnYXnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnYXnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYZX

public Matrix4f mapnYZX()

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
  0 0 0 1
 

Returns:

this

mapnYZX

public Matrix4f mapnYZX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
  0 0 0 1
 

and store the result in dest.

Specified by:

mapnYZX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYZnX

public Matrix4f mapnYZnX()

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
  0 0  0 1
 

Returns:

this

mapnYZnX

public Matrix4f mapnYZnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnYZnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXZ

public Matrix4f mapnYnXZ()

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
 

Returns:

this

mapnYnXZ

public Matrix4f mapnYnXZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnYnXZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXnZ

public Matrix4f mapnYnXnZ()

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
  0  0  0 1
 

Returns:

this

mapnYnXnZ

public Matrix4f mapnYnXnZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnYnXnZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZX

public Matrix4f mapnYnZX()

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
  0  0 0 1
 

Returns:

this

mapnYnZX

public Matrix4f mapnYnZX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnYnZX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZnX

public Matrix4f mapnYnZnX()

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
  0  0  0 1
 

Returns:

this

mapnYnZnX

public Matrix4f mapnYnZnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnYnZnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZXY

public Matrix4f mapnZXY()

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
  0 0 0 1
 

Returns:

this

mapnZXY

public Matrix4f mapnZXY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
  0 0 0 1
 

and store the result in dest.

Specified by:

mapnZXY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZXnY

public Matrix4f mapnZXnY()

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
  0 0  0 1
 

Returns:

this

mapnZXnY

public Matrix4f mapnZXnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnZXnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZYX

public Matrix4f mapnZYX()

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
  0 0 0 1
 

Returns:

this

mapnZYX

public Matrix4f mapnZYX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
  0 0 0 1
 

and store the result in dest.

Specified by:

mapnZYX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZYnX

public Matrix4f mapnZYnX()

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
  0 0  0 1
 

Returns:

this

mapnZYnX

public Matrix4f mapnZYnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
  0 0  0 1
 

and store the result in dest.

Specified by:

mapnZYnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXY

public Matrix4f mapnZnXY()

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
  0  0 0 1
 

Returns:

this

mapnZnXY

public Matrix4f mapnZnXY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnZnXY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXnY

public Matrix4f mapnZnXnY()

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
  0  0  0 1
 

Returns:

this

mapnZnXnY

public Matrix4f mapnZnXnY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnZnXnY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYX

public Matrix4f mapnZnYX()

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
  0  0 0 1
 

Returns:

this

mapnZnYX

public Matrix4f mapnZnYX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
  0  0 0 1
 

and store the result in dest.

Specified by:

mapnZnYX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYnX

public Matrix4f mapnZnYnX()

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
  0  0  0 1
 

Returns:

this

mapnZnYnX

public Matrix4f mapnZnYnX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
  0  0  0 1
 

and store the result in dest.

Specified by:

mapnZnYnX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

negateX

public Matrix4f negateX()

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
  0 0 0 1
 

Returns:

this

negateX

public Matrix4f negateX(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
  0 0 0 1
 

and store the result in dest.

Specified by:

negateX in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

negateY

public Matrix4f negateY()

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 0  0 0 1
 

Returns:

this

negateY

public Matrix4f negateY(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 0  0 0 1
 

and store the result in dest.

Specified by:

negateY in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

negateZ

public Matrix4f negateZ()

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 0 0  0 1
 

Returns:

this

negateZ

public Matrix4f negateZ(Matrix4f dest)

Description copied from interface: Matrix4fc

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 0 0  0 1
 

and store the result in dest.

Specified by:

negateZ in interface Matrix4fc

Parameters:

dest - will hold the result

Returns:

dest

isFinite

public boolean isFinite()

Description copied from interface: Matrix4fc

Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.

Specified by:

isFinite in interface Matrix4fc

Returns:

true if all components are finite floating-point values; false otherwise

clone

public Object clone()
             throws CloneNotSupportedException

Overrides:

clone in class Object

Throws:

CloneNotSupportedException