org.joml

Interface Matrix3x2fc

All Known Implementing Classes:

Matrix3x2f, Matrix3x2fStack

public interface Matrix3x2fc

Interface to a read-only view of a 3x2 matrix of single-precision floats.

Author:

Kai Burjack

Method Summary

Modifier and Type	Method and Description
float	determinant() Return the determinant of this matrix.
boolean	equals(Matrix3x2fc 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.
ByteBuffer	get(ByteBuffer buffer) Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
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.
FloatBuffer	get(FloatBuffer buffer) Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
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.
Matrix3x2f	get(Matrix3x2f dest) Get the current values of this matrix and store them into dest.
ByteBuffer	get3x3(ByteBuffer buffer) Store this matrix as an equivalent 3x3 matrix in column-major order into the supplied ByteBuffer at the current buffer position.
float[]	get3x3(float[] arr) Store this matrix as an equivalent 3x3 matrix into the supplied float array in column-major order.
float[]	get3x3(float[] arr, int offset) Store this matrix as an equivalent 3x3 matrix into the supplied float array in column-major order at the given offset.
FloatBuffer	get3x3(FloatBuffer buffer) Store this matrix as an equivalent 3x3 matrix in column-major order into the supplied FloatBuffer at the current buffer position.
ByteBuffer	get3x3(int index, ByteBuffer buffer) Store this matrix as an equivalent 3x3 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get3x3(int index, FloatBuffer buffer) Store this matrix as an equivalent 3x3 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	get4x4(ByteBuffer buffer) Store this matrix as an equivalent 4x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position.
float[]	get4x4(float[] arr) Store this matrix as an equivalent 4x4 matrix into the supplied float array in column-major order.
float[]	get4x4(float[] arr, int offset) Store this matrix as an equivalent 4x4 matrix into the supplied float array in column-major order at the given offset.
FloatBuffer	get4x4(FloatBuffer buffer) Store this matrix as an equivalent 4x4 matrix in column-major order into the supplied FloatBuffer at the current buffer position.
ByteBuffer	get4x4(int index, ByteBuffer buffer) Store this matrix as an equivalent 4x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get4x4(int index, FloatBuffer buffer) Store this matrix as an equivalent 4x4 matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
Matrix3x2f	invert(Matrix3x2f dest) Invert the this matrix by assuming a third row in this matrix of (0, 0, 1) 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	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	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.
Matrix3x2f	mul(Matrix3x2fc right, Matrix3x2f dest) Multiply this matrix by the supplied right matrix by assuming a third row in both matrices of (0, 0, 1) and store the result in dest.
Matrix3x2f	mulLocal(Matrix3x2fc left, Matrix3x2f dest) Pre-multiply this matrix by the supplied left matrix and store the result in dest.
Vector2f	normalizedPositiveX(Vector2f dir) Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied.
Vector2f	normalizedPositiveY(Vector2f dir) Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied.
Vector2f	origin(Vector2f origin) Obtain the position that gets transformed to the origin by this matrix.
Vector2f	positiveX(Vector2f dir) Obtain the direction of +X before the transformation represented by this matrix is applied.
Vector2f	positiveY(Vector2f dir) Obtain the direction of +Y before the transformation represented by this matrix is applied.
Matrix3x2f	rotate(float ang, Matrix3x2f dest) Apply a rotation transformation to this matrix by rotating the given amount of radians and store the result in dest.
Matrix3x2f	rotateAbout(float ang, float x, float y, Matrix3x2f dest) Apply a rotation transformation to this matrix by rotating the given amount of radians about the specified rotation center (x, y) and store the result in dest.
Matrix3x2f	rotateLocal(float ang, Matrix3x2f dest) Pre-multiply a rotation to this matrix by rotating the given amount of radians and store the result in dest.
Matrix3x2f	rotateTo(Vector2fc fromDir, Vector2fc toDir, Matrix3x2f dest) Apply a rotation transformation to this matrix that rotates the given normalized fromDir direction vector to point along the normalized toDir, and store the result in dest.
Matrix3x2f	scale(float x, float y, Matrix3x2f dest) Apply scaling to this matrix by scaling the unit axes by the given x and y and store the result in dest.
Matrix3x2f	scale(float xy, Matrix3x2f dest) Apply scaling to this matrix by uniformly scaling the two base axes by the given xy factor and store the result in dest.
Matrix3x2f	scale(Vector2fc xy, Matrix3x2f dest) Apply scaling to this matrix by scaling the base axes by the given xy factors and store the result in dest.
Matrix3x2f	scaleAround(float sx, float sy, float ox, float oy, Matrix3x2f dest) Apply scaling to this matrix by scaling the base axes by the given sx and sy factors while using (ox, oy) as the scaling origin, and store the result in dest.
Matrix3x2f	scaleAround(float factor, float ox, float oy, Matrix3x2f dest) Apply scaling to this matrix by scaling the base axes by the given factor while using (ox, oy) as the scaling origin, and store the result in dest.
Matrix3x2f	scaleAroundLocal(float sx, float sy, float ox, float oy, Matrix3x2f dest) Pre-multiply scaling to this matrix by scaling the base axes by the given sx and sy factors while using the given (ox, oy) as the scaling origin, and store the result in dest.
Matrix3x2f	scaleAroundLocal(float factor, float ox, float oy, Matrix3x2f dest) Pre-multiply scaling to this matrix by scaling the base axes by the given factor while using (ox, oy) as the scaling origin, and store the result in dest.
Matrix3x2f	scaleLocal(float x, float y, Matrix3x2f dest) Pre-multiply scaling to this matrix by scaling the base axes by the given x and y factors and store the result in dest.
Matrix3x2f	scaleLocal(float xy, Matrix3x2f dest) Pre-multiply scaling to this matrix by scaling the two base axes by the given xy factor, and store the result in dest.
boolean	testAar(float minX, float minY, float maxX, float maxY) Test whether the given axis-aligned rectangle is partly or completely within or outside of the frustum defined by this matrix.
boolean	testCircle(float x, float y, float r) Test whether the given circle is partly or completely within or outside of the frustum defined by this matrix.
boolean	testPoint(float x, float y) Test whether the given point (x, y) is within the frustum defined by this matrix.
Vector3f	transform(float x, float y, float z, Vector3f dest) Transform/multiply the given vector (x, y, z) by this matrix and store the result in dest.
Vector3f	transform(Vector3f v) Transform/multiply the given vector by this matrix by assuming a third row in this matrix of (0, 0, 1) and store the result in that vector.
Vector3f	transform(Vector3f v, Vector3f dest) Transform/multiply the given vector by this matrix and store the result in dest.
Vector2f	transformDirection(float x, float y, Vector2f dest) Transform/multiply the given 2D-vector (x, y), as if it was a 3D-vector with z=0, by this matrix and store the result in dest.
Vector2f	transformDirection(Vector2f v) Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=0, by this matrix and store the result in that vector.
Vector2f	transformDirection(Vector2fc v, Vector2f dest) Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=0, by this matrix and store the result in dest.
Vector2f	transformPosition(float x, float y, Vector2f dest) Transform/multiply the given 2D-vector (x, y), as if it was a 3D-vector with z=1, by this matrix and store the result in dest.
Vector2f	transformPosition(Vector2f v) Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=1, by this matrix and store the result in that vector.
Vector2f	transformPosition(Vector2fc v, Vector2f dest) Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=1, by this matrix and store the result in dest.
Matrix3x2f	translate(float x, float y, Matrix3x2f dest) Apply a translation to this matrix by translating by the given number of units in x and y and store the result in dest.
Matrix3x2f	translate(Vector2fc offset, Matrix3x2f dest) Apply a translation to this matrix by translating by the given number of units in x and y, and store the result in dest.
Matrix3x2f	translateLocal(float x, float y, Matrix3x2f dest) Pre-multiply a translation to this matrix by translating by the given number of units in x and y and store the result in dest.
Matrix3x2f	translateLocal(Vector2fc offset, Matrix3x2f dest) Pre-multiply a translation to this matrix by translating by the given number of units in x and y and store the result in dest.
Vector2f	unproject(float winX, float winY, int[] viewport, Vector2f dest) Unproject the given window coordinates (winX, winY) by this matrix using the specified viewport.
Vector2f	unprojectInv(float winX, float winY, int[] viewport, Vector2f dest) Unproject the given window coordinates (winX, winY) by this matrix using the specified viewport.
Matrix3x2f	view(float left, float right, float bottom, float top, Matrix3x2f dest) Apply a "view" transformation to this matrix that maps the given (left, bottom) and (right, top) corners to (-1, -1) and (1, 1) respectively and store the result in dest.
float[]	viewArea(float[] area) Obtain the extents of the view transformation of this matrix and store it in area.

Method Detail

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

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

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

mul

Matrix3x2f mul(Matrix3x2fc right,
               Matrix3x2f dest)

Multiply this matrix by the supplied right matrix by assuming a third row in both matrices of (0, 0, 1) 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 - will hold the result

Returns:

dest

mulLocal

Matrix3x2f mulLocal(Matrix3x2fc left,
                    Matrix3x2f dest)

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

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

Parameters:

left - the left operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

determinant

float determinant()

Return the determinant of this matrix.

Returns:

the determinant

invert

Matrix3x2f invert(Matrix3x2f dest)

Invert the this matrix by assuming a third row in this matrix of (0, 0, 1) and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

translate

Matrix3x2f translate(float x,
                     float y,
                     Matrix3x2f dest)

Apply a translation to this matrix by translating by the given number of units in x and y 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

dest - will hold the result

Returns:

dest

translate

Matrix3x2f translate(Vector2fc offset,
                     Matrix3x2f dest)

Apply a translation to this matrix by translating by the given number of units in x and y, 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 offset to translate

dest - will hold the result

Returns:

dest

translateLocal

Matrix3x2f translateLocal(Vector2fc offset,
                          Matrix3x2f dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x and y 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 and y by which to translate

dest - will hold the result

Returns:

dest

translateLocal

Matrix3x2f translateLocal(float x,
                          float y,
                          Matrix3x2f dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x and y 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

dest - will hold the result

Returns:

dest

get

Matrix3x2f get(Matrix3x2f dest)

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

Parameters:

dest - the destination matrix

Returns:

dest

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

get3x3

FloatBuffer get3x3(FloatBuffer buffer)

Store this matrix as an equivalent 3x3 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 get3x3(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:

get3x3(int, FloatBuffer)

get3x3

FloatBuffer get3x3(int index,
                   FloatBuffer buffer)

Store this matrix as an equivalent 3x3 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

get3x3

ByteBuffer get3x3(ByteBuffer buffer)

Store this matrix as an equivalent 3x3 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 get3x3(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:

get3x3(int, ByteBuffer)

get3x3

ByteBuffer get3x3(int index,
                  ByteBuffer buffer)

Store this matrix as an equivalent 3x3 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

get4x4

FloatBuffer get4x4(FloatBuffer buffer)

Store this matrix as an equivalent 4x4 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 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 this matrix as an equivalent 4x4 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

get4x4

ByteBuffer get4x4(ByteBuffer buffer)

Store this matrix as an equivalent 4x4 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 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 this matrix as an equivalent 4x4 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

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)

get3x3

float[] get3x3(float[] arr,
               int offset)

Store this matrix as an equivalent 3x3 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

get3x3

float[] get3x3(float[] arr)

Store this matrix as an equivalent 3x3 matrix into the supplied float array in column-major order.

In order to specify an explicit offset into the array, use the method get3x3(float[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

get3x3(float[], int)

get4x4

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

Store this matrix as an equivalent 4x4 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

get4x4

float[] get4x4(float[] arr)

Store this matrix as an equivalent 4x4 matrix into the supplied float array in column-major order.

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)

scale

Matrix3x2f scale(float x,
                 float y,
                 Matrix3x2f dest)

Apply scaling to this matrix by scaling the unit axes by the given x and 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

scale

Matrix3x2f scale(Vector2fc xy,
                 Matrix3x2f dest)

Apply scaling to this matrix by scaling the base axes by the given xy 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:

xy - the factors of the x and y component, respectively

dest - will hold the result

Returns:

dest

scaleAroundLocal

Matrix3x2f scaleAroundLocal(float sx,
                            float sy,
                            float ox,
                            float oy,
                            Matrix3x2f dest)

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

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

This method is equivalent to calling: new Matrix3x2f().translate(ox, oy).scale(sx, sy).translate(-ox, -oy).mul(this, dest)

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

dest - will hold the result

Returns:

dest

scaleAroundLocal

Matrix3x2f scaleAroundLocal(float factor,
                            float ox,
                            float oy,
                            Matrix3x2f dest)

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

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

This method is equivalent to calling: new Matrix3x2f().translate(ox, oy).scale(factor).translate(-ox, -oy).mul(this, dest)

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

dest - will hold the result

Returns:

this

scale

Matrix3x2f scale(float xy,
                 Matrix3x2f dest)

Apply scaling to this matrix by uniformly scaling the two base axes by the given xy 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!

Parameters:

xy - the factor for the two components

dest - will hold the result

Returns:

dest

See Also:

scale(float, float, Matrix3x2f)

scaleLocal

Matrix3x2f scaleLocal(float xy,
                      Matrix3x2f dest)

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

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

Parameters:

xy - the factor to scale all two base axes by

dest - will hold the result

Returns:

dest

scaleLocal

Matrix3x2f scaleLocal(float x,
                      float y,
                      Matrix3x2f dest)

Pre-multiply scaling to this matrix by scaling the base axes by the given x and y 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

dest - will hold the result

Returns:

dest

scaleAround

Matrix3x2f scaleAround(float sx,
                       float sy,
                       float ox,
                       float oy,
                       Matrix3x2f dest)

Apply scaling to this matrix by scaling the base axes by the given sx and sy factors while using (ox, oy) 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, dest).scale(sx, sy).translate(-ox, -oy)

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

dest - will hold the result

Returns:

dest

scaleAround

Matrix3x2f scaleAround(float factor,
                       float ox,
                       float oy,
                       Matrix3x2f dest)

Apply scaling to this matrix by scaling the base axes by the given factor while using (ox, oy) 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, dest).scale(factor).translate(-ox, -oy)

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

dest - will hold the result

Returns:

this

transform

Vector3f transform(Vector3f v)

Transform/multiply the given vector by this matrix by assuming a third row in this matrix of (0, 0, 1) and store the result in that vector.

Parameters:

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

Returns:

v

See Also:

Vector3f.mul(Matrix3x2fc)

transform

Vector3f transform(Vector3f v,
                   Vector3f 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:

Vector3f.mul(Matrix3x2fc, Vector3f)

transform

Vector3f transform(float x,
                   float y,
                   float z,
                   Vector3f dest)

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

Parameters:

x - the x component of the vector to transform

y - the y component of the vector to transform

z - the z component of the vector to transform

dest - will contain the result

Returns:

dest

transformPosition

Vector2f transformPosition(Vector2f v)

Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=1, by this matrix and store the result in that vector.

The given 2D-vector is treated as a 3D-vector with its z-component being 1.0, so it will represent a position/location in 2D-space rather than a direction.

In order to store the result in another vector, use transformPosition(Vector2fc, Vector2f).

Parameters:

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

Returns:

v

See Also:

transformPosition(Vector2fc, Vector2f), transform(Vector3f)

transformPosition

Vector2f transformPosition(Vector2fc v,
                           Vector2f dest)

Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=1, by this matrix and store the result in dest.

The given 2D-vector is treated as a 3D-vector with its z-component being 1.0, so it will represent a position/location in 2D-space rather than a direction.

In order to store the result in the same vector, use transformPosition(Vector2f).

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

transformPosition(Vector2f), transform(Vector3f, Vector3f)

transformPosition

Vector2f transformPosition(float x,
                           float y,
                           Vector2f dest)

Transform/multiply the given 2D-vector (x, y), as if it was a 3D-vector with z=1, by this matrix and store the result in dest.

The given 2D-vector is treated as a 3D-vector with its z-component being 1.0, so it will represent a position/location in 2D-space rather than a direction.

In order to store the result in the same vector, use transformPosition(Vector2f).

Parameters:

x - the x component of the vector to transform

y - the y component of the vector to transform

dest - will hold the result

Returns:

dest

See Also:

transformPosition(Vector2f), transform(Vector3f, Vector3f)

transformDirection

Vector2f transformDirection(Vector2f v)

Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=0, by this matrix and store the result in that vector.

The given 2D-vector is treated as a 3D-vector with its z-component being 0.0, so it will represent a direction in 2D-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(Vector2fc, Vector2f).

Parameters:

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

Returns:

v

See Also:

transformDirection(Vector2fc, Vector2f)

transformDirection

Vector2f transformDirection(Vector2fc v,
                            Vector2f dest)

Transform/multiply the given 2D-vector, as if it was a 3D-vector with z=0, by this matrix and store the result in dest.

The given 2D-vector is treated as a 3D-vector with its z-component being 0.0, so it will represent a direction in 2D-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(Vector2f).

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

transformDirection(Vector2f)

transformDirection

Vector2f transformDirection(float x,
                            float y,
                            Vector2f dest)

Transform/multiply the given 2D-vector (x, y), as if it was a 3D-vector with z=0, by this matrix and store the result in dest.

The given 2D-vector is treated as a 3D-vector with its z-component being 0.0, so it will represent a direction in 2D-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(Vector2f).

Parameters:

x - the x component of the vector to transform

y - the y component of the vector to transform

dest - will hold the result

Returns:

dest

See Also:

transformDirection(Vector2f)

rotate

Matrix3x2f rotate(float ang,
                  Matrix3x2f dest)

Apply a rotation transformation to this matrix by rotating the given amount of radians and store the result in dest.

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

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateLocal

Matrix3x2f rotateLocal(float ang,
                       Matrix3x2f dest)

Pre-multiply a rotation to this matrix by rotating the given amount of radians and store the result in dest.

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

dest - will hold the result

Returns:

dest

rotateAbout

Matrix3x2f rotateAbout(float ang,
                       float x,
                       float y,
                       Matrix3x2f dest)

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

This method is equivalent to calling: translate(x, y, dest).rotate(ang).translate(-x, -y)

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

Parameters:

ang - the angle in radians

x - the x component of the rotation center

y - the y component of the rotation center

dest - will hold the result

Returns:

dest

See Also:

translate(float, float, Matrix3x2f), rotate(float, Matrix3x2f)

rotateTo

Matrix3x2f rotateTo(Vector2fc fromDir,
                    Vector2fc toDir,
                    Matrix3x2f dest)

Apply a rotation transformation to this matrix that rotates the given normalized fromDir direction vector to point along the normalized toDir, and store the result in dest.

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

Parameters:

fromDir - the normalized direction which should be rotate to point along toDir

toDir - the normalized destination direction

dest - will hold the result

Returns:

dest

view

Matrix3x2f view(float left,
                float right,
                float bottom,
                float top,
                Matrix3x2f dest)

Apply a "view" transformation to this matrix that maps the given (left, bottom) and (right, top) corners to (-1, -1) and (1, 1) respectively 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!

Parameters:

left - the distance from the center to the left view edge

right - the distance from the center to the right view edge

bottom - the distance from the center to the bottom view edge

top - the distance from the center to the top view edge

dest - will hold the result

Returns:

dest

origin

Vector2f origin(Vector2f 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:

 Matrix3x2f inv = new Matrix3x2f(this).invertAffine();
 inv.transform(origin.set(0, 0));
 

Parameters:

origin - will hold the position transformed to the origin

Returns:

origin

viewArea

float[] viewArea(float[] area)

Obtain the extents of the view transformation of this matrix and store it in area. This can be used to determine which region of the screen (i.e. the NDC space) is covered by the view.

Parameters:

area - will hold the view area as [minX, minY, maxX, maxY]

Returns:

area

positiveX

Vector2f positiveX(Vector2f dir)

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

This method uses the rotation component of the left 2x2 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix3x2f inv = new Matrix3x2f(this).invert();
 inv.transformDirection(dir.set(1, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using normalizedPositiveX(Vector2f) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +X

Returns:

dir

normalizedPositiveX

Vector2f normalizedPositiveX(Vector2f 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 2x2 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix3x2f inv = new Matrix3x2f(this).transpose();
 inv.transformDirection(dir.set(1, 0));
 

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +X

Returns:

dir

positiveY

Vector2f positiveY(Vector2f dir)

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

This method uses the rotation component of the left 2x2 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix3x2f inv = new Matrix3x2f(this).invert();
 inv.transformDirection(dir.set(0, 1)).normalize();
 

If this is already an orthogonal matrix, then consider using normalizedPositiveY(Vector2f) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Y

Returns:

dir

normalizedPositiveY

Vector2f normalizedPositiveY(Vector2f 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 2x2 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix3x2f inv = new Matrix3x2f(this).transpose();
 inv.transformDirection(dir.set(0, 1));
 

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Y

Returns:

dir

unproject

Vector2f unproject(float winX,
                   float winY,
                   int[] viewport,
                   Vector2f dest)

Unproject the given window coordinates (winX, winY) by this matrix using the specified viewport.

This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.

As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using invert(Matrix3x2f) and then the method unprojectInv() can be invoked on it.

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

unprojectInv(float, float, int[], Vector2f), invert(Matrix3x2f)

unprojectInv

Vector2f unprojectInv(float winX,
                      float winY,
                      int[] viewport,
                      Vector2f dest)

Unproject the given window coordinates (winX, winY) by this matrix using the specified viewport.

This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.

Parameters:

winX - the x-coordinate in window coordinates (pixels)

winY - the y-coordinate in window coordinates (pixels)

viewport - the viewport described by [x, y, width, height]

dest - will hold the unprojected position

Returns:

dest

See Also:

unproject(float, float, int[], Vector2f)

testPoint

boolean testPoint(float x,
                  float y)

Test whether the given point (x, y) is within the frustum defined by this matrix.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given point with the coordinates (x, y, z) given in space M is within the clip space.

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

Parameters:

x - the x-coordinate of the point

y - the y-coordinate of the point

Returns:

true if the given point is inside the frustum; false otherwise

testCircle

boolean testCircle(float x,
                   float y,
                   float r)

Test whether the given circle is partly or completely within or outside of the frustum defined by this matrix.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given sphere with the coordinates (x, y, z) given in space M is within the clip space.

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

Parameters:

x - the x-coordinate of the circle's center

y - the y-coordinate of the circle's center

r - the circle's radius

Returns:

true if the given circle is partly or completely inside the frustum; false otherwise

testAar

boolean testAar(float minX,
                float minY,
                float maxX,
                float maxY)

Test whether the given axis-aligned rectangle is partly or completely within or outside of the frustum defined by this matrix. The rectangle is specified via its min and max corner coordinates.

This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given axis-aligned rectangle with its minimum corner coordinates (minX, minY, minZ) and maximum corner coordinates (maxX, maxY, maxZ) given in space M is within the clip space.

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

Parameters:

minX - the x-coordinate of the minimum corner

minY - the y-coordinate of the minimum corner

maxX - the x-coordinate of the maximum corner

maxY - the y-coordinate of the maximum corner

Returns:

true if the axis-aligned box is completely or partly inside of the frustum; false otherwise

equals

boolean equals(Matrix3x2fc 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