/* |
File: matrixUtil.h |
Abstract: |
Functions for performing matrix math. |
|
Version: 1.7 |
|
Disclaimer: IMPORTANT: This Apple software is supplied to you by Apple |
Inc. ("Apple") in consideration of your agreement to the following |
terms, and your use, installation, modification or redistribution of |
this Apple software constitutes acceptance of these terms. If you do |
not agree with these terms, please do not use, install, modify or |
redistribute this Apple software. |
|
In consideration of your agreement to abide by the following terms, and |
subject to these terms, Apple grants you a personal, non-exclusive |
license, under Apple's copyrights in this original Apple software (the |
"Apple Software"), to use, reproduce, modify and redistribute the Apple |
Software, with or without modifications, in source and/or binary forms; |
provided that if you redistribute the Apple Software in its entirety and |
without modifications, you must retain this notice and the following |
text and disclaimers in all such redistributions of the Apple Software. |
Neither the name, trademarks, service marks or logos of Apple Inc. may |
be used to endorse or promote products derived from the Apple Software |
without specific prior written permission from Apple. Except as |
expressly stated in this notice, no other rights or licenses, express or |
implied, are granted by Apple herein, including but not limited to any |
patent rights that may be infringed by your derivative works or by other |
works in which the Apple Software may be incorporated. |
|
The Apple Software is provided by Apple on an "AS IS" basis. APPLE |
MAKES NO WARRANTIES, EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION |
THE IMPLIED WARRANTIES OF NON-INFRINGEMENT, MERCHANTABILITY AND FITNESS |
FOR A PARTICULAR PURPOSE, REGARDING THE APPLE SOFTWARE OR ITS USE AND |
OPERATION ALONE OR IN COMBINATION WITH YOUR PRODUCTS. |
|
IN NO EVENT SHALL APPLE BE LIABLE FOR ANY SPECIAL, INDIRECT, INCIDENTAL |
OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF |
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS |
INTERRUPTION) ARISING IN ANY WAY OUT OF THE USE, REPRODUCTION, |
MODIFICATION AND/OR DISTRIBUTION OF THE APPLE SOFTWARE, HOWEVER CAUSED |
AND WHETHER UNDER THEORY OF CONTRACT, TORT (INCLUDING NEGLIGENCE), |
STRICT LIABILITY OR OTHERWISE, EVEN IF APPLE HAS BEEN ADVISED OF THE |
POSSIBILITY OF SUCH DAMAGE. |
|
Copyright (C) 2013 Apple Inc. All Rights Reserved. |
|
*/ |
|
#ifndef __MATRIX_UTIL_H__ |
#define __MATRIX_UTIL_H__ |
|
// Matrix is a column major floating point array |
|
// All matrices are 4x4 by unless the mtx3x3 prefix is specified in the function name |
|
// [ 0 4 8 12 ] |
// [ 1 5 9 13 ] |
// [ 2 6 10 14 ] |
// [ 3 7 11 15 ] |
|
// MTX = LeftHandSideMatrix * RightHandSideMatrix |
void mtxMultiply(float* ret, const float* lhs, const float* rhs); |
|
// MTX = IdentityMatrix |
void mtxLoadIdentity(float* mtx); |
|
// MTX = Transpos(SRC) |
void mtxTranspose(float* mtx, const float* src); |
|
// MTX = src^-1 |
void mtxInvert(float* mtx, const float* src); |
|
// MTX = PerspectiveProjectionMatrix |
void mtxLoadPerspective(float* mtx, float fov, float aspect, float nearZ, float farZ); |
|
// MTX = OrthographicProjectionMatrix |
void mtxLoadOrthographic(float* mtx, |
float left, float right, |
float bottom, float top, |
float nearZ, float farZ); |
|
// MTX = ObliqueProjectionMatrix(src, clipPlane) |
void mtxModifyObliqueProjection(float* mtx, const float* src, const float* plane); |
|
// MTX = TranlationMatrix |
void mtxLoadTranslate(float* mtx, float xTrans, float yTrans, float zTrans); |
|
// MTX = ScaleMatrix |
void mtxLoadScale(float* mtx, float xScale, float yScale, float zScale); |
|
// MTX = RotateXYZMatrix |
void mtxLoadRotate(float*mtx, float deg, float xAxis, float , float zAxis); |
|
// MTX = RotateXMatrix |
void mtxLoadRotateX(float* mtx, float deg); |
|
// MTX = RotateYMatrix |
void mtxLoadRotateY(float* mtx, float deg); |
|
// MTX = RotateZMatrix |
void mtxLoadRotateZ(float* mtx, float deg); |
|
// MTX = MTX * TranslationMatrix - Similar to glTranslate |
void mtxTranslateApply(float* mtx, float xTrans, float yTrans, float zTrans); |
|
// MTX = MTX * ScaleMatrix - Similar to glScale |
void mtxScaleApply(float* mtx, float xScale, float yScale, float zScale); |
|
// MTX = MTX * RotateXYZMatrix - Similar to glRotate |
void mtxRotateApply(float* mtx, float deg, float xAxis, float yAxis, float zAxis); |
|
// MTX = MTX * RotateXMatrix |
void mtxRotateXApply(float* mtx, float rad); |
|
// MTX = MTX * RotateYMatrix |
void mtxRotateYApply(float* mtx, float rad); |
|
// MTX = MTX * RotateZMatrix |
void mtxRotateZApply(float* mtx, float rad); |
|
// MTX = TranslationMatrix * MTX |
void mtxTranslateMatrix(float* mtx, float xTrans, float yTrans, float zTrans); |
|
// MTX = ScaleMatrix * MTX |
void mtxScaleMatrix(float* mtx, float xScale, float yScale, float zScale); |
|
// MTX = RotateXYZMatrix * MTX |
void mtxRotateMatrix(float* mtx, float rad, float xAxis, float yAxis, float zAxis); |
|
// MTX = RotateXMatrix * MTX |
void mtxRotateXMatrix(float* mtx, float rad); |
|
// MTX = RotateYMatrix * MTX |
void mtxRotateYMatrix(float* mtx, float rad); |
|
// MTX = RotateZMatrix * MTX |
void mtxRotateZMatrix(float* mtx, float rad); |
|
// 3x3 MTX = 3x3 IdendityMatrix |
void mtx3x3LoadIdentity(float* mtx); |
|
|
// 3x3 MTX = 3x3 LHS x 3x3 RHS |
void mtx3x3Multiply(float* mtx, const float* lhs, const float* rhs); |
|
|
// 3x3 MTX = TopLeft of MTX |
void mtx3x3FromTopLeftOf4x4(float* mtx, const float* src); |
|
// 3x3 MTX = Transpose(3x3 SRC) |
void mtx3x3Transpose(float* mtx, const float* src); |
|
// 3x3 MTX = 3x3 SRC^-1 |
void mtx3x3Invert(float* mtx, const float* src); |
|
#endif //__MATRIX_UTIL_H__ |
