Package org.joml

Interface Matrix4x3fc

All Known Implementing Classes:

Matrix4x3f, Matrix4x3fStack

public interface Matrix4x3fc

Interface to a read-only view of a 4x3 matrix of single-precision floats.

Author:

Kai Burjack

Field Summary

Fields

Modifier and Type	Field	Description
static final int	PLANE_NX	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=-1 when using the identity matrix.
static final int	PLANE_NY	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=-1 when using the identity matrix.
static final int	PLANE_NZ	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=-1 when using the identity matrix.
static final int	PLANE_PX	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=1 when using the identity matrix.
static final int	PLANE_PY	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=1 when using the identity matrix.
static final int	PLANE_PZ	Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=1 when using the identity matrix.
static final byte	PROPERTY_IDENTITY	Bit returned by properties() to indicate that the matrix represents the identity transformation.
static final byte	PROPERTY_ORTHONORMAL	Bit returned by properties() to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e.
static final byte	PROPERTY_TRANSLATION	Bit returned by properties() to indicate that the matrix represents a pure translation transformation.

Method Summary

Modifier and Type	Method	Description
Matrix4x3f	add(Matrix4x3fc other, Matrix4x3f dest)	Component-wise add this and other and store the result in dest.
Matrix4x3f	arcball(float radius, float centerX, float centerY, float centerZ, float angleX, float angleY, Matrix4x3f 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.
Matrix4x3f	arcball(float radius, Vector3fc center, float angleX, float angleY, Matrix4x3f 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.
Matrix3f	cofactor3x3(Matrix3f dest)	Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest.
Matrix4x3f	cofactor3x3(Matrix4x3f dest)	Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest.
float	determinant()	Return the determinant of this matrix.
boolean	equals(Matrix4x3fc 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.
Matrix4x3f	fma(Matrix4x3fc other, float otherFactor, Matrix4x3f dest)	Component-wise add this and other by first multiplying each component of other by otherFactor, adding that to this and storing the final result in dest.
Vector4f	frustumPlane(int which, 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 dest.
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.
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 the upper 4x3 submatrix of dest.
Matrix4f	get(Matrix4f dest)	Get the current values of this matrix and store them into the upper 4x3 submatrix of dest.
Matrix4x3d	get(Matrix4x3d dest)	Get the current values of this matrix and store them into dest.
Matrix4x3f	get(Matrix4x3f dest)	Get the current values of this matrix and store them into dest.
ByteBuffer	get3x4(int index, ByteBuffer buffer)	Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, with the m03, m13 and m23 components being zero.
FloatBuffer	get3x4(int index, FloatBuffer buffer)	Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index, with the m03, m13 and m23 components being zero.
ByteBuffer	get3x4(ByteBuffer buffer)	Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, with the m03, m13 and m23 components being zero.
FloatBuffer	get3x4(FloatBuffer buffer)	Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied FloatBuffer at the current buffer position, with the m03, m13 and m23 components being zero.
float[]	get4x4(float[] arr)	Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
float[]	get4x4(float[] arr, int offset)	Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
ByteBuffer	get4x4(int index, ByteBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
FloatBuffer	get4x4(int index, FloatBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
ByteBuffer	get4x4(ByteBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
FloatBuffer	get4x4(FloatBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied FloatBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
Vector3f	getColumn(int column, Vector3f 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 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 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.
Vector4f	getRow(int row, Vector4f dest)	Get the row at the given row index, starting with 0.
Vector3f	getScale(Vector3f dest)	Get the scaling factors of this matrix for the three base axes.
Matrix4x3fc	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.
float[]	getTransposed(float[] arr)	Store this matrix into the supplied float array in row-major order.
float[]	getTransposed(float[] arr, int offset)	Store this matrix into the supplied float array in row-major order at the given offset.
ByteBuffer	getTransposed(int index, ByteBuffer buffer)	Store this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	getTransposed(int index, FloatBuffer buffer)	Store this matrix in row-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	getTransposed(ByteBuffer buffer)	Store this matrix in row-major order into the supplied ByteBuffer at the current buffer position.
FloatBuffer	getTransposed(FloatBuffer buffer)	Store this matrix in row-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.
Matrix4f	invert(Matrix4f dest)	Invert this matrix and write the result as the top 4x3 matrix into dest and set all other values of dest to identity..
Matrix4x3f	invert(Matrix4x3f dest)	Invert this matrix and write the result into dest.
Matrix4x3f	invertOrtho(Matrix4x3f dest)	Invert this orthographic projection matrix and store the result into the given dest.
boolean	isFinite()	Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.
Matrix4x3f	lerp(Matrix4x3fc other, float t, Matrix4x3f dest)	Linearly interpolate this and other using the given interpolation factor t and store the result in dest.
Matrix4x3f	lookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ, Matrix4x3f dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4x3f	lookAlong(Vector3fc dir, Vector3fc up, Matrix4x3f dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4x3f	lookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4x3f 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.
Matrix4x3f	lookAt(Vector3fc eye, Vector3fc center, Vector3fc up, Matrix4x3f 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.
Matrix4x3f	lookAtLH(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4x3f 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.
Matrix4x3f	lookAtLH(Vector3fc eye, Vector3fc center, Vector3fc up, Matrix4x3f 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.
float	m01()	Return 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.
float	m10()	Return 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.
float	m12()	Return the value of the matrix element at column 1 and row 2.
float	m20()	Return 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.
float	m22()	Return the value of the matrix element at column 2 and row 2.
float	m30()	Return 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.
float	m32()	Return the value of the matrix element at column 3 and row 2.
Matrix4x3f	mapnXnYnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXnYZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXnZnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXnZY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXYnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXZnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnXZY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYnXnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYnXZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYnZnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYnZX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYXnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYXZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYZnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnYZX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZnXnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZnXY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZnYnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZnYX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZXnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZXY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZYnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapnZYX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapXnYnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapXnZnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapXnZY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapXZnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapXZY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYnXnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYnXZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYnZnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYnZX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYXnZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYXZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYZnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapYZX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZnXnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZnXY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZnYnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZnYX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZXnY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZXY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZYnX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mapZYX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	mul(Matrix4x3fc right, Matrix4x3f dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4x3f	mul3x3(float rm00, float rm01, float rm02, float rm10, float rm11, float rm12, float rm20, float rm21, float rm22, Matrix4x3f dest)	Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0) and store the result in dest.
Matrix4x3f	mulComponentWise(Matrix4x3fc other, Matrix4x3f dest)	Component-wise multiply this by other and store the result in dest.
Matrix4x3f	mulOrtho(Matrix4x3fc view, Matrix4x3f dest)	Multiply this orthographic projection matrix by the supplied view matrix and store the result in dest.
Matrix4x3f	mulTranslation(Matrix4x3fc right, Matrix4x3f dest)	Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix and store the result in dest.
Matrix4x3f	negateX(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	negateY(Matrix4x3f dest)	Multiply this by the matrix
Matrix4x3f	negateZ(Matrix4x3f dest)	Multiply this by the matrix
Matrix3f	normal(Matrix3f dest)	Compute a normal matrix from the left 3x3 submatrix of this and store it into dest.
Matrix4x3f	normal(Matrix4x3f dest)	Compute a normal matrix from the left 3x3 submatrix of this and store it into the left 3x3 submatrix of dest.
Matrix3f	normalize3x3(Matrix3f dest)	Normalize the left 3x3 submatrix of this matrix and store the result in dest.
Matrix4x3f	normalize3x3(Matrix4x3f dest)	Normalize the 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.
Matrix4x3f	obliqueZ(float a, float b, Matrix4x3f 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 origin)	Obtain the position that gets transformed to the origin by this matrix.
Matrix4x3f	ortho(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4x3f 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.
Matrix4x3f	ortho(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4x3f 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.
Matrix4x3f	ortho2D(float left, float right, float bottom, float top, Matrix4x3f dest)	Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.
Matrix4x3f	ortho2DLH(float left, float right, float bottom, float top, Matrix4x3f dest)	Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.
Matrix4x3f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar, boolean zZeroToOne, Matrix4x3f 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.
Matrix4x3f	orthoLH(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4x3f 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.
Matrix4x3f	orthoSymmetric(float width, float height, float zNear, float zFar, boolean zZeroToOne, Matrix4x3f 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.
Matrix4x3f	orthoSymmetric(float width, float height, float zNear, float zFar, Matrix4x3f 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.
Matrix4x3f	orthoSymmetricLH(float width, float height, float zNear, float zFar, boolean zZeroToOne, Matrix4x3f 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.
Matrix4x3f	orthoSymmetricLH(float width, float height, float zNear, float zFar, Matrix4x3f 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.
Matrix4x3f	pick(float x, float y, float width, float height, int[] viewport, Matrix4x3f 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.
int	properties()
Matrix4x3f	reflect(float nx, float ny, float nz, float px, float py, float pz, Matrix4x3f 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.
Matrix4x3f	reflect(float a, float b, float c, float d, Matrix4x3f 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.
Matrix4x3f	reflect(Quaternionfc orientation, Vector3fc point, Matrix4x3f 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.
Matrix4x3f	reflect(Vector3fc normal, Vector3fc point, Matrix4x3f 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.
Matrix4x3f	rotate(float ang, float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	rotate(float angle, Vector3fc axis, Matrix4x3f dest)	Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
Matrix4x3f	rotate(AxisAngle4f axisAngle, Matrix4x3f dest)	Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
Matrix4x3f	rotate(Quaternionfc quat, Matrix4x3f dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4x3f	rotateAround(Quaternionfc quat, float ox, float oy, float oz, Matrix4x3f 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.
Matrix4x3f	rotateLocal(float ang, float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	rotateLocal(Quaternionfc quat, Matrix4x3f dest)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4x3f	rotateTowards(float dirX, float dirY, float dirZ, float upX, float upY, float upZ, Matrix4x3f 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.
Matrix4x3f	rotateTowards(Vector3fc dir, Vector3fc up, Matrix4x3f 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.
Matrix4x3f	rotateTranslation(float ang, float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	rotateTranslation(Quaternionfc quat, Matrix4x3f dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.
Matrix4x3f	rotateX(float ang, Matrix4x3f dest)	Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3f	rotateXYZ(float angleX, float angleY, float angleZ, Matrix4x3f 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.
Matrix4x3f	rotateY(float ang, Matrix4x3f dest)	Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3f	rotateYXZ(float angleY, float angleX, float angleZ, Matrix4x3f 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.
Matrix4x3f	rotateZ(float ang, Matrix4x3f dest)	Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3f	rotateZYX(float angleZ, float angleY, float angleX, Matrix4x3f 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.
Matrix4x3f	scale(float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	scale(float xyz, Matrix4x3f dest)	Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.
Matrix4x3f	scale(Vector3fc xyz, Matrix4x3f 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.
Matrix4x3f	scaleAround(float sx, float sy, float sz, float ox, float oy, float oz, Matrix4x3f 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.
Matrix4x3f	scaleAround(float factor, float ox, float oy, float oz, Matrix4x3f 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.
Matrix4x3f	scaleLocal(float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	scaleXY(float x, float y, Matrix4x3f 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.
Matrix4x3f	shadow(float lightX, float lightY, float lightZ, float lightW, float a, float b, float c, float d, Matrix4x3f 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.
Matrix4x3f	shadow(float lightX, float lightY, float lightZ, float lightW, Matrix4x3fc planeTransform, Matrix4x3f 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.
Matrix4x3f	shadow(Vector4fc light, float a, float b, float c, float d, Matrix4x3f 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.
Matrix4x3f	shadow(Vector4fc light, Matrix4x3fc planeTransform, Matrix4x3f 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.
Matrix4x3f	sub(Matrix4x3fc subtrahend, Matrix4x3f dest)	Component-wise subtract subtrahend from this 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.
Matrix4x3f	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 matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
Matrix4x3f	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 matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
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(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.
Matrix4x3f	translate(float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	translate(Vector3fc offset, Matrix4x3f 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.
Matrix4x3f	translateLocal(float x, float y, float z, Matrix4x3f 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.
Matrix4x3f	translateLocal(Vector3fc offset, Matrix4x3f 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.
Matrix3f	transpose3x3(Matrix3f dest)	Transpose only the left 3x3 submatrix of this matrix and store the result in dest.
Matrix4x3f	transpose3x3(Matrix4x3f dest)	Transpose only the left 3x3 submatrix of this matrix and store the result in dest.
Matrix4x3f	withLookAtUp(float upX, float upY, float upZ, Matrix4x3f dest)	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), and store the result in dest.
Matrix4x3f	withLookAtUp(Vector3fc up, Matrix4x3f dest)	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, and store the result in dest.

Field Details

PLANE_NX

static final int PLANE_NX

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PX

static final int PLANE_PX

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_NY

static final int PLANE_NY

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PY

static final int PLANE_PY

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_NZ

static final int PLANE_NZ

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PZ

static final int PLANE_PZ

Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=1 when using the identity matrix.

See Also:

• Constant Field Values

PROPERTY_IDENTITY

static final byte PROPERTY_IDENTITY

Bit returned by properties() to indicate that the matrix represents the identity transformation.

See Also:

• Constant Field Values

PROPERTY_TRANSLATION

static final byte PROPERTY_TRANSLATION

Bit returned by properties() to indicate that the matrix represents a pure translation transformation.

See Also:

• Constant Field Values

PROPERTY_ORTHONORMAL

static final byte PROPERTY_ORTHONORMAL

Bit returned by properties() to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e. orthonormal basis).

See Also:

• Constant Field Values

Method Details

properties

int properties()

Returns:

the properties of the matrix

m00

float m00()

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

Returns:

the value of the matrix element

m01

float m01()

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

Returns:

the value of the matrix element

m02

float m02()

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

Returns:

the value of the matrix element

m10

float m10()

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

Returns:

the value of the matrix element

m11

float m11()

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

Returns:

the value of the matrix element

m12

float m12()

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

Returns:

the value of the matrix element

m20

float m20()

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

Returns:

the value of the matrix element

m21

float m21()

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

Returns:

the value of the matrix element

m22

float m22()

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

Returns:

the value of the matrix element

m30

float m30()

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

Returns:

the value of the matrix element

m31

float m31()

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

Returns:

the value of the matrix element

m32

float m32()

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

Returns:

the value of the matrix element

get

Matrix4f get(Matrix4f dest)

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

The other elements of dest will not be modified.

Parameters:

dest - the destination matrix

Returns:

dest

See Also:

• Matrix4f.set4x3(Matrix4x3fc)

get

Matrix4d get(Matrix4d dest)

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

The other elements of dest will not be modified.

Parameters:

dest - the destination matrix

Returns:

dest

See Also:

• Matrix4d.set4x3(Matrix4x3fc)

mul

Matrix4x3f mul(Matrix4x3fc right,
 Matrix4x3f dest)

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!

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulTranslation

Matrix4x3f mulTranslation(Matrix4x3fc right,
 Matrix4x3f dest)

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

This method assumes that this matrix only contains a translation.

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

dest - the destination matrix, which will hold the result

Returns:

dest

mulOrtho

Matrix4x3f mulOrtho(Matrix4x3fc view,
 Matrix4x3f dest)

Multiply this orthographic projection matrix by the supplied 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!

Parameters:

view - the matrix which to multiply this with

dest - the destination matrix, which will hold the result

Returns:

dest

mul3x3

Matrix4x3f mul3x3(float rm00,
 float rm01,
 float rm02,
 float rm10,
 float rm11,
 float rm12,
 float rm20,
 float rm21,
 float rm22,
 Matrix4x3f dest)

Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0) and store the result in dest.

If M is this matrix and R the specified 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 R matrix will be applied first!

Parameters:

rm00 - the value of the m00 element

rm01 - the value of the m01 element

rm02 - the value of the m02 element

rm10 - the value of the m10 element

rm11 - the value of the m11 element

rm12 - the value of the m12 element

rm20 - the value of the m20 element

rm21 - the value of the m21 element

rm22 - the value of the m22 element

dest - will hold the result

Returns:

dest

fma

Matrix4x3f fma(Matrix4x3fc other,
 float otherFactor,
 Matrix4x3f dest)

Component-wise add this and other by first multiplying each component of other 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.

Parameters:

other - the other matrix

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

dest - will hold the result

Returns:

dest

add

Matrix4x3f add(Matrix4x3fc other,
 Matrix4x3f dest)

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

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

sub

Matrix4x3f sub(Matrix4x3fc subtrahend,
 Matrix4x3f dest)

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

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

mulComponentWise

Matrix4x3f mulComponentWise(Matrix4x3fc other,
 Matrix4x3f dest)

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

Parameters:

other - the other matrix

dest - will hold the result

Returns:

dest

determinant

float determinant()

Return the determinant of this matrix.

Returns:

the determinant

invert

Matrix4x3f invert(Matrix4x3f dest)

Invert this matrix and write the result into dest.

Parameters:

dest - will hold the result

Returns:

dest

invert

Matrix4f invert(Matrix4f dest)

Invert this matrix and write the result as the top 4x3 matrix into dest and set all other values of dest to identity..

Parameters:

dest - will hold the result

Returns:

dest

invertOrtho

Matrix4x3f invertOrtho(Matrix4x3f dest)

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.

Parameters:

dest - will hold the inverse of this

Returns:

dest

transpose3x3

Matrix4x3f transpose3x3(Matrix4x3f dest)

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

All other matrix elements are left unchanged.

Parameters:

dest - will hold the result

Returns:

dest

transpose3x3

Matrix3f transpose3x3(Matrix3f dest)

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

Parameters:

dest - will hold the result

Returns:

dest

getTranslation

Vector3f getTranslation(Vector3f dest)

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

Parameters:

dest - will hold the translation components of this matrix

Returns:

dest

getScale

Vector3f getScale(Vector3f dest)

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

Parameters:

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

Returns:

dest

get

Matrix4x3f get(Matrix4x3f dest)

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

Parameters:

dest - the destination matrix

Returns:

the passed in destination

get

Matrix4x3d get(Matrix4x3d dest)

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

Parameters:

dest - the destination matrix

Returns:

the passed in destination

getRotation

AxisAngle4f getRotation(AxisAngle4f dest)

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

Parameters:

dest - the destination AxisAngle4f

Returns:

the passed in destination

See Also:

• AxisAngle4f.set(Matrix4x3fc)

getRotation

AxisAngle4d getRotation(AxisAngle4d dest)

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

Parameters:

dest - the destination AxisAngle4d

Returns:

the passed in destination

See Also:

• AxisAngle4f.set(Matrix4x3fc)

getUnnormalizedRotation

Quaternionf getUnnormalizedRotation(Quaternionf dest)

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 left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromUnnormalized(Matrix4x3fc)

getNormalizedRotation

Quaternionf getNormalizedRotation(Quaternionf dest)

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 left 3x3 submatrix are normalized.

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromNormalized(Matrix4x3fc)

getUnnormalizedRotation

Quaterniond getUnnormalizedRotation(Quaterniond dest)

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 left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromUnnormalized(Matrix4x3fc)

getNormalizedRotation

Quaterniond getNormalizedRotation(Quaterniond dest)

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 left 3x3 submatrix are normalized.

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromNormalized(Matrix4x3fc)

get

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.

Parameters:

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

Returns:

the passed in buffer

get

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.

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

FloatBuffer get(FloatBuffer buffer)

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 get(int, FloatBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get(int, FloatBuffer)

get

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.

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

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

ByteBuffer get(ByteBuffer buffer)

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 get(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get(int, ByteBuffer)

get

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.

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

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

getToAddress

Matrix4x3fc getToAddress(long address)

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.

Parameters:

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

Returns:

this

get

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

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

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

float[] get(float[] arr)

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 get(float[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get(float[], int)

get4x4

float[] get4x4(float[] arr,
 int offset)

Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get4x4

float[] get4x4(float[] arr)

Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

In order to specify an explicit offset into the array, use the method get4x4(float[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get4x4(float[], int)

get4x4

FloatBuffer get4x4(FloatBuffer buffer)

Store a 4x4 matrix in column-major order into the supplied FloatBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

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 get4x4(int, FloatBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get4x4(int, FloatBuffer)

get4x4

FloatBuffer get4x4(int index,
 FloatBuffer buffer)

Store a 4x4 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

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

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

get4x4

ByteBuffer get4x4(ByteBuffer buffer)

Store a 4x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

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 get4x4(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get4x4(int, ByteBuffer)

get4x4

ByteBuffer get4x4(int index,
 ByteBuffer buffer)

Store a 4x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

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

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

get3x4

FloatBuffer get3x4(FloatBuffer buffer)

Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied FloatBuffer at the current buffer position, with the m03, m13 and m23 components being zero.

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 get3x4(int, FloatBuffer), taking the absolute position as parameter.

Parameters:

buffer - will receive the values of the left 3x3 submatrix as 3x4 matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• get3x4(int, FloatBuffer)

get3x4

FloatBuffer get3x4(int index,
 FloatBuffer buffer)

Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index, with the m03, m13 and m23 components being zero.

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

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of the left 3x3 submatrix as 3x4 matrix in column-major order

Returns:

the passed in buffer

get3x4

ByteBuffer get3x4(ByteBuffer buffer)

Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, with the m03, m13 and m23 components being zero.

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 get3x4(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

buffer - will receive the values of the left 3x3 submatrix as 3x4 matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• get3x4(int, ByteBuffer)

get3x4

ByteBuffer get3x4(int index,
 ByteBuffer buffer)

Store the left 3x3 submatrix as 3x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, with the m03, m13 and m23 components being zero.

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

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of the left 3x3 submatrix as 3x4 matrix in column-major order

Returns:

the passed in buffer

getTransposed

FloatBuffer getTransposed(FloatBuffer buffer)

Store 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 getTransposed(int, FloatBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• getTransposed(int, FloatBuffer)

getTransposed

FloatBuffer getTransposed(int index,
 FloatBuffer buffer)

Store 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.

Parameters:

index - the absolute position into the FloatBuffer

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

Returns:

the passed in buffer

getTransposed

ByteBuffer getTransposed(ByteBuffer buffer)

Store 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 getTransposed(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• getTransposed(int, ByteBuffer)

getTransposed

ByteBuffer getTransposed(int index,
 ByteBuffer buffer)

Store 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.

Parameters:

index - the absolute position into the ByteBuffer

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

Returns:

the passed in buffer

getTransposed

float[] getTransposed(float[] arr,
 int offset)

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

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

getTransposed

float[] getTransposed(float[] arr)

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

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

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• getTransposed(float[], int)

transform

Vector4f transform(Vector4f v)

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

Parameters:

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

Returns:

v

See Also:

• Vector4f.mul(Matrix4x3fc)

transform

Vector4f transform(Vector4fc v,
 Vector4f dest)

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

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4f.mul(Matrix4x3fc, Vector4f)

transformPosition

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.

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.

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

Parameters:

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

Returns:

v

See Also:

• transformPosition(Vector3fc, Vector3f)
• transform(Vector4f)

transformPosition

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.

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.

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

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

• transformPosition(Vector3f)
• transform(Vector4fc, Vector4f)

transformDirection

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.

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 transformDirection(Vector3fc, Vector3f).

Parameters:

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

Returns:

v

See Also:

• transformDirection(Vector3fc, Vector3f)

transformDirection

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.

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 transformDirection(Vector3f).

Parameters:

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

dest - will hold the result

Returns:

dest

See Also:

• transformDirection(Vector3f)

scale

Matrix4x3f scale(Vector3fc xyz,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

scale

Matrix4x3f scale(float xyz,
 Matrix4x3f dest)

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 scale(float, float, float, Matrix4x3f).

Parameters:

xyz - the factor for all components

dest - will hold the result

Returns:

dest

See Also:

• scale(float, float, float, Matrix4x3f)

scaleXY

Matrix4x3f scaleXY(float x,
 float y,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

scaleAround

Matrix4x3f scaleAround(float sx,
 float sy,
 float sz,
 float ox,
 float oy,
 float oz,
 Matrix4x3f 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.

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)

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

Matrix4x3f scaleAround(float factor,
 float ox,
 float oy,
 float oz,
 Matrix4x3f 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.

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)

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

scale

Matrix4x3f scale(float x,
 float y,
 float z,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

scaleLocal

Matrix4x3f scaleLocal(float x,
 float y,
 float z,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

rotateX

Matrix4x3f rotateX(float ang,
 Matrix4x3f dest)

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

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateY

Matrix4x3f rotateY(float ang,
 Matrix4x3f dest)

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

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateZ

Matrix4x3f rotateZ(float ang,
 Matrix4x3f dest)

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

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateXYZ

Matrix4x3f rotateXYZ(float angleX,
 float angleY,
 float angleZ,
 Matrix4x3f 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.

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)

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

Matrix4x3f rotateZYX(float angleZ,
 float angleY,
 float angleX,
 Matrix4x3f 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.

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)

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

Matrix4x3f rotateYXZ(float angleY,
 float angleX,
 float angleZ,
 Matrix4x3f 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.

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)

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

Matrix4x3f rotate(float ang,
 float x,
 float y,
 float z,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

rotateTranslation

Matrix4x3f rotateTranslation(float ang,
 float x,
 float y,
 float z,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

rotateAround

Matrix4x3f rotateAround(Quaternionfc quat,
 float ox,
 float oy,
 float oz,
 Matrix4x3f 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.

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

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

rotateLocal

Matrix4x3f rotateLocal(float ang,
 float x,
 float y,
 float z,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

translate

Matrix4x3f translate(Vector3fc offset,
 Matrix4x3f 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!

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

translate

Matrix4x3f translate(float x,
 float y,
 float z,
 Matrix4x3f 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!

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

translateLocal

Matrix4x3f translateLocal(Vector3fc offset,
 Matrix4x3f 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!

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

translateLocal

Matrix4x3f translateLocal(float x,
 float y,
 float z,
 Matrix4x3f 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!

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

ortho

Matrix4x3f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

ortho

Matrix4x3f ortho(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

orthoLH

Matrix4x3f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

orthoLH

Matrix4x3f orthoLH(float left,
 float right,
 float bottom,
 float top,
 float zNear,
 float zFar,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

orthoSymmetric

Matrix4x3f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4x3f 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!

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

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

orthoSymmetric

Matrix4x3f orthoSymmetric(float width,
 float height,
 float zNear,
 float zFar,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

orthoSymmetricLH

Matrix4x3f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 boolean zZeroToOne,
 Matrix4x3f 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!

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

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

orthoSymmetricLH

Matrix4x3f orthoSymmetricLH(float width,
 float height,
 float zNear,
 float zFar,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

ortho2D

Matrix4x3f ortho2D(float left,
 float right,
 float bottom,
 float top,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

See Also:

• ortho(float, float, float, float, float, float, Matrix4x3f)

ortho2DLH

Matrix4x3f ortho2DLH(float left,
 float right,
 float bottom,
 float top,
 Matrix4x3f 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!

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

dest - will hold the result

Returns:

dest

See Also:

• orthoLH(float, float, float, float, float, float, Matrix4x3f)

lookAlong

Matrix4x3f lookAlong(Vector3fc dir,
 Vector3fc up,
 Matrix4x3f 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.

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, Matrix4x3f)
• lookAt(Vector3fc, Vector3fc, Vector3fc, Matrix4x3f)

lookAlong

Matrix4x3f lookAlong(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ,
 Matrix4x3f 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.

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, Matrix4x3f)

lookAt

Matrix4x3f lookAt(Vector3fc eye,
 Vector3fc center,
 Vector3fc up,
 Matrix4x3f 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!

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, Matrix4x3f)

lookAt

Matrix4x3f lookAt(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4x3f 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!

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, Matrix4x3f)

lookAtLH

Matrix4x3f lookAtLH(Vector3fc eye,
 Vector3fc center,
 Vector3fc up,
 Matrix4x3f 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!

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, Matrix4x3f)

lookAtLH

Matrix4x3f lookAtLH(float eyeX,
 float eyeY,
 float eyeZ,
 float centerX,
 float centerY,
 float centerZ,
 float upX,
 float upY,
 float upZ,
 Matrix4x3f 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!

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, Matrix4x3f)

rotate

Matrix4x3f rotate(Quaternionfc quat,
 Matrix4x3f dest)

Apply the rotation - and possibly scaling - 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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotateTranslation

Matrix4x3f rotateTranslation(Quaternionfc quat,
 Matrix4x3f dest)

Apply the rotation - and possibly scaling - 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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotateLocal

Matrix4x3f rotateLocal(Quaternionfc quat,
 Matrix4x3f dest)

Pre-multiply the rotation - and possibly scaling - 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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotate

Matrix4x3f rotate(AxisAngle4f axisAngle,
 Matrix4x3f 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!

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(float, float, float, float, Matrix4x3f)

rotate

Matrix4x3f rotate(float angle,
 Vector3fc axis,
 Matrix4x3f 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!

Reference: http://en.wikipedia.org

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, Matrix4x3f)

reflect

Matrix4x3f reflect(float a,
 float b,
 float c,
 float d,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

reflect

Matrix4x3f reflect(float nx,
 float ny,
 float nz,
 float px,
 float py,
 float pz,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

reflect

Matrix4x3f reflect(Quaternionfc orientation,
 Vector3fc point,
 Matrix4x3f 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.

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 relative to an implied normal vector of (0, 0, 1)

point - a point on the plane

dest - will hold the result

Returns:

dest

reflect

Matrix4x3f reflect(Vector3fc normal,
 Vector3fc point,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

getRow

Vector4f getRow(int row,
 Vector4f dest)
         throws IndexOutOfBoundsException

Get the row at the given row index, starting with 0.

Parameters:

row - the row index in [0..2]

dest - will hold the row components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if row is not in [0..2]

getColumn

Vector3f getColumn(int column,
 Vector3f dest)
            throws IndexOutOfBoundsException

Get the column at the given column index, starting with 0.

Parameters:

column - the column index in [0..2]

dest - will hold the column components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if column is not in [0..2]

normal

Matrix4x3f normal(Matrix4x3f dest)

Compute a normal matrix from the left 3x3 submatrix of this and store it into the 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.

Parameters:

dest - will hold the result

Returns:

dest

normal

Matrix3f normal(Matrix3f dest)

Compute a normal matrix from the left 3x3 submatrix of this and store it into dest.

The normal matrix of m is the transpose of the inverse of m.

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

Matrix3f cofactor3x3(Matrix3f dest)

Compute the cofactor matrix of the 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.

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

Matrix4x3f cofactor3x3(Matrix4x3f dest)

Compute the cofactor matrix of the 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(Matrix4x3f) to transform normals when the orientation of the normals with respect to the surface should be preserved.

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

Matrix4x3f normalize3x3(Matrix4x3f dest)

Normalize the 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).

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

Matrix3f normalize3x3(Matrix3f dest)

Normalize the 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).

Parameters:

dest - will hold the result

Returns:

dest

frustumPlane

Vector4f frustumPlane(int which,
 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 dest.

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 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).

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Parameters:

which - one of the six possible planes, given as numeric constants PLANE_NX, PLANE_PX, PLANE_NY, PLANE_PY, PLANE_NZ and 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:

dest

positiveZ

Vector3f positiveZ(Vector3f dir)

Obtain the direction of +Z before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).invert();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 

If this is already an orthogonal matrix, then consider using normalizedPositiveZ(Vector3f) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Z

Returns:

dir

normalizedPositiveZ

Vector3f normalizedPositiveZ(Vector3f dir)

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 left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).transpose();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Z

Returns:

dir

positiveX

Vector3f positiveX(Vector3f dir)

Obtain the direction of +X before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).invert();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using normalizedPositiveX(Vector3f) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +X

Returns:

dir

normalizedPositiveX

Vector3f normalizedPositiveX(Vector3f dir)

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 left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).transpose();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +X

Returns:

dir

positiveY

Vector3f positiveY(Vector3f dir)

Obtain the direction of +Y before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).invert();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using normalizedPositiveY(Vector3f) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Y

Returns:

dir

normalizedPositiveY

Vector3f normalizedPositiveY(Vector3f dir)

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 left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).transpose();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Y

Returns:

dir

origin

Vector3f origin(Vector3f origin)

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 transformation matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).invert();
 inv.transformPosition(origin.set(0, 0, 0));
 

Parameters:

origin - will hold the position transformed to the origin

Returns:

origin

shadow

Matrix4x3f shadow(Vector4fc light,
 float a,
 float b,
 float c,
 float d,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

shadow

Matrix4x3f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 float a,
 float b,
 float c,
 float d,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

shadow

Matrix4x3f shadow(Vector4fc light,
 Matrix4x3fc planeTransform,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

shadow

Matrix4x3f shadow(float lightX,
 float lightY,
 float lightZ,
 float lightW,
 Matrix4x3fc planeTransform,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

pick

Matrix4x3f pick(float x,
 float y,
 float width,
 float height,
 int[] viewport,
 Matrix4x3f 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.

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

arcball

Matrix4x3f arcball(float radius,
 float centerX,
 float centerY,
 float centerZ,
 float angleX,
 float angleY,
 Matrix4x3f 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.

This method is equivalent to calling: translate(0, 0, -radius, dest).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

dest - will hold the result

Returns:

dest

arcball

Matrix4x3f arcball(float radius,
 Vector3fc center,
 float angleX,
 float angleY,
 Matrix4x3f 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.

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

dest - will hold the result

Returns:

dest

transformAab

Matrix4x3f 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 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

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

Matrix4x3f 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 matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.

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

Matrix4x3f lerp(Matrix4x3fc other,
 float t,
 Matrix4x3f dest)

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.

Parameters:

other - the other matrix

t - the interpolation factor between 0.0 and 1.0

dest - will hold the result

Returns:

dest

rotateTowards

Matrix4x3f rotateTowards(Vector3fc dir,
 Vector3fc up,
 Matrix4x3f 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!

This method is equivalent to calling: mul(new Matrix4x3f().lookAt(new Vector3f(), new Vector3f(dir).negate(), up).invert(), dest)

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, Matrix4x3f)

rotateTowards

Matrix4x3f rotateTowards(float dirX,
 float dirY,
 float dirZ,
 float upX,
 float upY,
 float upZ,
 Matrix4x3f 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!

This method is equivalent to calling: mul(new Matrix4x3f().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invert(), dest)

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, Matrix4x3f)

getEulerAnglesXYZ

Vector3f getEulerAnglesXYZ(Vector3f dest)

Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the left 3x3 submatrix 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 rotateXYZ(float, float, float, Matrix4x3f) 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).

 Matrix4x3f m = ...; // <- matrix only representing rotation
 Matrix4x3f n = new Matrix4x3f();
 n.rotateXYZ(m.getEulerAnglesXYZ(new Vector3f()));
 

Reference: http://nghiaho.com/

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

getEulerAnglesZYX

Vector3f getEulerAnglesZYX(Vector3f dest)

Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the left 3x3 submatrix 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 rotateZYX(float, float, float, Matrix4x3f) 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).

 Matrix4x3f m = ...; // <- matrix only representing rotation
 Matrix4x3f n = new Matrix4x3f();
 n.rotateZYX(m.getEulerAnglesZYX(new Vector3f()));
 

Reference: http://nghiaho.com/

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

obliqueZ

Matrix4x3f obliqueZ(float a,
 float b,
 Matrix4x3f 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
 

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

withLookAtUp

Matrix4x3f withLookAtUp(Vector3fc up,
 Matrix4x3f dest)

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, and store the result in dest.

This effectively ensures that the resulting matrix will be equal to the one obtained from calling Matrix4f.setLookAt(Vector3fc, Vector3fc, Vector3fc) with the current local origin of this matrix (as obtained by origin(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector up.

Parameters:

up - the up vector

dest - will hold the result

Returns:

this

withLookAtUp

Matrix4x3f withLookAtUp(float upX,
 float upY,
 float upZ,
 Matrix4x3f dest)

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), and store the result in dest.

This effectively ensures that the resulting matrix will be equal to the one obtained from calling Matrix4f.setLookAt(float, float, float, float, float, float, float, float, float) called with the current local origin of this matrix (as obtained by origin(Vector3f)), the sum of this position and the negated local Z axis as well as the given vector (upX, upY, upZ).

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

Matrix4x3f mapXZY(Matrix4x3f dest)

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXZnY

Matrix4x3f mapXZnY(Matrix4x3f dest)

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnYnZ

Matrix4x3f mapXnYnZ(Matrix4x3f dest)

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnZY

Matrix4x3f mapXnZY(Matrix4x3f dest)

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnZnY

Matrix4x3f mapXnZnY(Matrix4x3f dest)

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYXZ

Matrix4x3f mapYXZ(Matrix4x3f dest)

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYXnZ

Matrix4x3f mapYXnZ(Matrix4x3f dest)

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYZX

Matrix4x3f mapYZX(Matrix4x3f dest)

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYZnX

Matrix4x3f mapYZnX(Matrix4x3f dest)

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnXZ

Matrix4x3f mapYnXZ(Matrix4x3f dest)

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnXnZ

Matrix4x3f mapYnXnZ(Matrix4x3f dest)

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnZX

Matrix4x3f mapYnZX(Matrix4x3f dest)

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnZnX

Matrix4x3f mapYnZnX(Matrix4x3f dest)

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZXY

Matrix4x3f mapZXY(Matrix4x3f dest)

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZXnY

Matrix4x3f mapZXnY(Matrix4x3f dest)

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZYX

Matrix4x3f mapZYX(Matrix4x3f dest)

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZYnX

Matrix4x3f mapZYnX(Matrix4x3f dest)

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnXY

Matrix4x3f mapZnXY(Matrix4x3f dest)

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnXnY

Matrix4x3f mapZnXnY(Matrix4x3f dest)

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnYX

Matrix4x3f mapZnYX(Matrix4x3f dest)

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnYnX

Matrix4x3f mapZnYnX(Matrix4x3f dest)

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXYnZ

Matrix4x3f mapnXYnZ(Matrix4x3f dest)

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXZY

Matrix4x3f mapnXZY(Matrix4x3f dest)

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXZnY

Matrix4x3f mapnXZnY(Matrix4x3f dest)

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYZ

Matrix4x3f mapnXnYZ(Matrix4x3f dest)

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYnZ

Matrix4x3f mapnXnYnZ(Matrix4x3f dest)

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZY

Matrix4x3f mapnXnZY(Matrix4x3f dest)

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZnY

Matrix4x3f mapnXnZnY(Matrix4x3f dest)

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYXZ

Matrix4x3f mapnYXZ(Matrix4x3f dest)

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYXnZ

Matrix4x3f mapnYXnZ(Matrix4x3f dest)

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYZX

Matrix4x3f mapnYZX(Matrix4x3f dest)

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYZnX

Matrix4x3f mapnYZnX(Matrix4x3f dest)

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXZ

Matrix4x3f mapnYnXZ(Matrix4x3f dest)

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXnZ

Matrix4x3f mapnYnXnZ(Matrix4x3f dest)

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZX

Matrix4x3f mapnYnZX(Matrix4x3f dest)

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZnX

Matrix4x3f mapnYnZnX(Matrix4x3f dest)

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZXY

Matrix4x3f mapnZXY(Matrix4x3f dest)

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZXnY

Matrix4x3f mapnZXnY(Matrix4x3f dest)

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZYX

Matrix4x3f mapnZYX(Matrix4x3f dest)

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZYnX

Matrix4x3f mapnZYnX(Matrix4x3f dest)

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXY

Matrix4x3f mapnZnXY(Matrix4x3f dest)

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXnY

Matrix4x3f mapnZnXnY(Matrix4x3f dest)

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYX

Matrix4x3f mapnZnYX(Matrix4x3f dest)

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYnX

Matrix4x3f mapnZnYnX(Matrix4x3f dest)

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateX

Matrix4x3f negateX(Matrix4x3f dest)

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateY

Matrix4x3f negateY(Matrix4x3f dest)

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateZ

Matrix4x3f negateZ(Matrix4x3f dest)

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

equals

boolean equals(Matrix4x3fc 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.

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.

Parameters:

m - the other matrix

delta - the allowed maximum difference

Returns:

true whether all of the matrix elements are equal; false otherwise

isFinite

boolean isFinite()

Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.

Returns:

true if all components are finite floating-point values; false otherwise