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Summary: Ctors | Methods | Inherited Methods

Matrix

public class Matrix
extends Object

java.lang.Object
↳	android.opengl.Matrix

Matrix math utilities. These methods operate on OpenGL ES format matrices and vectors stored in float arrays.

Matrices are 4 x 4 column-vector matrices stored in column-major order:

  m[offset +  0] m[offset +  4] m[offset +  8] m[offset + 12]
  m[offset +  1] m[offset +  5] m[offset +  9] m[offset + 13]
  m[offset +  2] m[offset +  6] m[offset + 10] m[offset + 14]
  m[offset +  3] m[offset +  7] m[offset + 11] m[offset + 15]

Vectors are 4 x 1 column vectors stored in order:

 v[offset + 0]
 v[offset + 1]
 v[offset + 2]
 v[offset + 3]

Summary

Public constructors
`Matrix()` This constructor is deprecated. All methods are static, do not instantiate this class.

Public methods
`static void`	`frustumM(float[] m, int offset, float left, float right, float bottom, float top, float near, float far)` Defines a projection matrix in terms of six clip planes.
`static boolean`	`invertM(float[] mInv, int mInvOffset, float[] m, int mOffset)` Inverts a 4 x 4 matrix.
`static float`	`length(float x, float y, float z)` Computes the length of a vector.
`static void`	`multiplyMM(float[] result, int resultOffset, float[] lhs, int lhsOffset, float[] rhs, int rhsOffset)` Multiplies two 4x4 matrices together and stores the result in a third 4x4 matrix.
`static void`	`multiplyMV(float[] resultVec, int resultVecOffset, float[] lhsMat, int lhsMatOffset, float[] rhsVec, int rhsVecOffset)` Multiplies a 4 element vector by a 4x4 matrix and stores the result in a 4-element column vector.
`static void`	`orthoM(float[] m, int mOffset, float left, float right, float bottom, float top, float near, float far)` Computes an orthographic projection matrix.
`static void`	`perspectiveM(float[] m, int offset, float fovy, float aspect, float zNear, float zFar)` Defines a projection matrix in terms of a field of view angle, an aspect ratio, and z clip planes.
`static void`	`rotateM(float[] rm, int rmOffset, float[] m, int mOffset, float a, float x, float y, float z)` Rotates matrix m by angle a (in degrees) around the axis (x, y, z).
`static void`	`rotateM(float[] m, int mOffset, float a, float x, float y, float z)` Rotates matrix m in place by angle a (in degrees) around the axis (x, y, z).
`static void`	`scaleM(float[] m, int mOffset, float x, float y, float z)` Scales matrix m in place by sx, sy, and sz.
`static void`	`scaleM(float[] sm, int smOffset, float[] m, int mOffset, float x, float y, float z)` Scales matrix m by x, y, and z, putting the result in sm.
`static void`	`setIdentityM(float[] sm, int smOffset)` Sets matrix m to the identity matrix.
`static void`	`setLookAtM(float[] rm, int rmOffset, float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)` Defines a viewing transformation in terms of an eye point, a center of view, and an up vector.
`static void`	`setRotateEulerM(float[] rm, int rmOffset, float x, float y, float z)` Converts Euler angles to a rotation matrix.
`static void`	`setRotateM(float[] rm, int rmOffset, float a, float x, float y, float z)` Creates a matrix for rotation by angle a (in degrees) around the axis (x, y, z).
`static void`	`translateM(float[] m, int mOffset, float x, float y, float z)` Translates matrix m by x, y, and z in place.
`static void`	`translateM(float[] tm, int tmOffset, float[] m, int mOffset, float x, float y, float z)` Translates matrix m by x, y, and z, putting the result in tm.
`static void`	`transposeM(float[] mTrans, int mTransOffset, float[] m, int mOffset)` Transposes a 4 x 4 matrix.

Inherited methods

From class


        
          java.lang.Object

`Object`	`clone()` Creates and returns a copy of this object.
`boolean`	`equals(Object obj)` Indicates whether some other object is "equal to" this one.
`void`	`finalize()` Called by the garbage collector on an object when garbage collection determines that there are no more references to the object.
`final Class<?>`	`getClass()` Returns the runtime class of this `Object`.
`int`	`hashCode()` Returns a hash code value for the object.
`final void`	`notify()` Wakes up a single thread that is waiting on this object's monitor.
`final void`	`notifyAll()` Wakes up all threads that are waiting on this object's monitor.
`String`	`toString()` Returns a string representation of the object.
`final void`	`wait(long timeout, int nanos)` Causes the current thread to wait until another thread invokes the `notify()` method or the `notifyAll()` method for this object, or some other thread interrupts the current thread, or a certain amount of real time has elapsed.
`final void`	`wait(long timeout)` Causes the current thread to wait until either another thread invokes the `notify()` method or the `notifyAll()` method for this object, or a specified amount of time has elapsed.
`final void`	`wait()` Causes the current thread to wait until another thread invokes the `notify()` method or the `notifyAll()` method for this object.

Public constructors

Matrix

public Matrix ()

This constructor is deprecated.
All methods are static, do not instantiate this class.

Public methods

frustumM

public static void frustumM (float[] m, 
                int offset, 
                float left, 
                float right, 
                float bottom, 
                float top, 
                float near, 
                float far)

Defines a projection matrix in terms of six clip planes.

Parameters
`m`	`float`: the float array that holds the output perspective matrix
`offset`	`int`: the offset into float array m where the perspective matrix data is written

invertM

public static boolean invertM (float[] mInv, 
                int mInvOffset, 
                float[] m, 
                int mOffset)

Inverts a 4 x 4 matrix.

mInv and m must not overlap.

Parameters
`mInv`	`float`: the array that holds the output inverted matrix
`mInvOffset`	`int`: an offset into mInv where the inverted matrix is stored.
`m`	`float`: the input array
`mOffset`	`int`: an offset into m where the input matrix is stored.

Returns
`boolean`	true if the matrix could be inverted, false if it could not.

length

public static float length (float x, 
                float y, 
                float z)

Computes the length of a vector.

Parameters
`x`	`float`: x coordinate of a vector
`y`	`float`: y coordinate of a vector
`z`	`float`: z coordinate of a vector

Returns
`float`	the length of a vector

multiplyMM

public static void multiplyMM (float[] result, 
                int resultOffset, 
                float[] lhs, 
                int lhsOffset, 
                float[] rhs, 
                int rhsOffset)

Multiplies two 4x4 matrices together and stores the result in a third 4x4 matrix. In matrix notation: result = lhs x rhs. Due to the way matrix multiplication works, the result matrix will have the same effect as first multiplying by the rhs matrix, then multiplying by the lhs matrix. This is the opposite of what you might expect.

The same float array may be passed for result, lhs, and/or rhs. However, the result element values are undefined if the result elements overlap either the lhs or rhs elements.

Parameters
`result`	`float`: The float array that holds the result.
`resultOffset`	`int`: The offset into the result array where the result is stored.
`lhs`	`float`: The float array that holds the left-hand-side matrix.
`lhsOffset`	`int`: The offset into the lhs array where the lhs is stored
`rhs`	`float`: The float array that holds the right-hand-side matrix.
`rhsOffset`	`int`: The offset into the rhs array where the rhs is stored.

Throws
`IllegalArgumentException`	if result, lhs, or rhs are null, or if resultOffset + 16 > result.length or lhsOffset + 16 > lhs.length or rhsOffset + 16 > rhs.length.

multiplyMV

public static void multiplyMV (float[] resultVec, 
                int resultVecOffset, 
                float[] lhsMat, 
                int lhsMatOffset, 
                float[] rhsVec, 
                int rhsVecOffset)

Multiplies a 4 element vector by a 4x4 matrix and stores the result in a 4-element column vector. In matrix notation: result = lhs x rhs

The same float array may be passed for resultVec, lhsMat, and/or rhsVec. However, the resultVec element values are undefined if the resultVec elements overlap either the lhsMat or rhsVec elements.

Parameters
`resultVec`	`float`: The float array that holds the result vector.
`resultVecOffset`	`int`: The offset into the result array where the result vector is stored.
`lhsMat`	`float`: The float array that holds the left-hand-side matrix.
`lhsMatOffset`	`int`: The offset into the lhs array where the lhs is stored
`rhsVec`	`float`: The float array that holds the right-hand-side vector.
`rhsVecOffset`	`int`: The offset into the rhs vector where the rhs vector is stored.

Throws
`IllegalArgumentException`	if resultVec, lhsMat, or rhsVec are null, or if resultVecOffset + 4 > resultVec.length or lhsMatOffset + 16 > lhsMat.length or rhsVecOffset + 4 > rhsVec.length.

orthoM

public static void orthoM (float[] m, 
                int mOffset, 
                float left, 
                float right, 
                float bottom, 
                float top, 
                float near, 
                float far)

Computes an orthographic projection matrix.

Parameters
`m`	`float`: returns the result

perspectiveM

public static void perspectiveM (float[] m, 
                int offset, 
                float fovy, 
                float aspect, 
                float zNear, 
                float zFar)

Defines a projection matrix in terms of a field of view angle, an aspect ratio, and z clip planes.

Parameters
`m`	`float`: the float array that holds the perspective matrix
`offset`	`int`: the offset into float array m where the perspective matrix data is written
`fovy`	`float`: field of view in y direction, in degrees
`aspect`	`float`: width to height aspect ratio of the viewport

rotateM

public static void rotateM (float[] rm, 
                int rmOffset, 
                float[] m, 
                int mOffset, 
                float a, 
                float x, 
                float y, 
                float z)

Rotates matrix m by angle a (in degrees) around the axis (x, y, z).

m and rm must not overlap.

Parameters
`rm`	`float`: returns the result
`rmOffset`	`int`: index into rm where the result matrix starts
`m`	`float`: source matrix
`mOffset`	`int`: index into m where the source matrix starts
`a`	`float`: angle to rotate in degrees
`x`	`float`: X axis component
`y`	`float`: Y axis component
`z`	`float`: Z axis component

rotateM

public static void rotateM (float[] m, 
                int mOffset, 
                float a, 
                float x, 
                float y, 
                float z)

Rotates matrix m in place by angle a (in degrees) around the axis (x, y, z).

Parameters
`m`	`float`: source matrix
`mOffset`	`int`: index into m where the matrix starts
`a`	`float`: angle to rotate in degrees
`x`	`float`: X axis component
`y`	`float`: Y axis component
`z`	`float`: Z axis component

scaleM

public static void scaleM (float[] m, 
                int mOffset, 
                float x, 
                float y, 
                float z)

Scales matrix m in place by sx, sy, and sz.

Parameters
`m`	`float`: matrix to scale
`mOffset`	`int`: index into m where the matrix starts
`x`	`float`: scale factor x
`y`	`float`: scale factor y
`z`	`float`: scale factor z

scaleM

public static void scaleM (float[] sm, 
                int smOffset, 
                float[] m, 
                int mOffset, 
                float x, 
                float y, 
                float z)

Scales matrix m by x, y, and z, putting the result in sm.

m and sm must not overlap.

Parameters
`sm`	`float`: returns the result
`smOffset`	`int`: index into sm where the result matrix starts
`m`	`float`: source matrix
`mOffset`	`int`: index into m where the source matrix starts
`x`	`float`: scale factor x
`y`	`float`: scale factor y
`z`	`float`: scale factor z

setIdentityM

public static void setIdentityM (float[] sm, 
                int smOffset)

Sets matrix m to the identity matrix.

Parameters
`sm`	`float`: returns the result
`smOffset`	`int`: index into sm where the result matrix starts

setLookAtM

public static void setLookAtM (float[] rm, 
                int rmOffset, 
                float eyeX, 
                float eyeY, 
                float eyeZ, 
                float centerX, 
                float centerY, 
                float centerZ, 
                float upX, 
                float upY, 
                float upZ)

Defines a viewing transformation in terms of an eye point, a center of view, and an up vector.

Parameters
`rm`	`float`: returns the result
`rmOffset`	`int`: index into rm where the result matrix starts
`eyeX`	`float`: eye point X
`eyeY`	`float`: eye point Y
`eyeZ`	`float`: eye point Z
`centerX`	`float`: center of view X
`centerY`	`float`: center of view Y
`centerZ`	`float`: center of view Z
`upX`	`float`: up vector X
`upY`	`float`: up vector Y
`upZ`	`float`: up vector Z

setRotateEulerM

public static void setRotateEulerM (float[] rm, 
                int rmOffset, 
                float x, 
                float y, 
                float z)

Converts Euler angles to a rotation matrix.

Parameters
`rm`	`float`: returns the result
`rmOffset`	`int`: index into rm where the result matrix starts
`x`	`float`: angle of rotation, in degrees
`y`	`float`: angle of rotation, in degrees
`z`	`float`: angle of rotation, in degrees

setRotateM

public static void setRotateM (float[] rm, 
                int rmOffset, 
                float a, 
                float x, 
                float y, 
                float z)

Creates a matrix for rotation by angle a (in degrees) around the axis (x, y, z).

An optimized path will be used for rotation about a major axis (e.g. x=1.0f y=0.0f z=0.0f).

Parameters
`rm`	`float`: returns the result
`rmOffset`	`int`: index into rm where the result matrix starts
`a`	`float`: angle to rotate in degrees
`x`	`float`: X axis component
`y`	`float`: Y axis component
`z`	`float`: Z axis component

translateM

public static void translateM (float[] m, 
                int mOffset, 
                float x, 
                float y, 
                float z)

Translates matrix m by x, y, and z in place.

Parameters
`m`	`float`: matrix
`mOffset`	`int`: index into m where the matrix starts
`x`	`float`: translation factor x
`y`	`float`: translation factor y
`z`	`float`: translation factor z

translateM

public static void translateM (float[] tm, 
                int tmOffset, 
                float[] m, 
                int mOffset, 
                float x, 
                float y, 
                float z)

Translates matrix m by x, y, and z, putting the result in tm.

m and tm must not overlap.

Parameters
`tm`	`float`: returns the result
`tmOffset`	`int`: index into sm where the result matrix starts
`m`	`float`: source matrix
`mOffset`	`int`: index into m where the source matrix starts
`x`	`float`: translation factor x
`y`	`float`: translation factor y
`z`	`float`: translation factor z

transposeM

public static void transposeM (float[] mTrans, 
                int mTransOffset, 
                float[] m, 
                int mOffset)

Transposes a 4 x 4 matrix.

mTrans and m must not overlap.

Parameters
`mTrans`	`float`: the array that holds the output transposed matrix
`mTransOffset`	`int`: an offset into mTrans where the transposed matrix is stored.
`m`	`float`: the input array
`mOffset`	`int`: an offset into m where the input matrix is stored.

Interfaces

Classes

Exceptions

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Results for

Matrix

Summary

Public constructors

Public methods

Inherited methods

Public constructors

Matrix

Public methods

frustumM

invertM

length

multiplyMM

multiplyMV

orthoM

perspectiveM

rotateM

rotateM

scaleM

scaleM

setIdentityM

setLookAtM

setRotateEulerM

setRotateM

translateM

translateM

transposeM