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submodules/LegacyComponents/Sources/matrix.m
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306
submodules/LegacyComponents/Sources/matrix.m
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/*
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File: matrix.c
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Abstract: simple 4x4 matrix computations
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Version: 1.0
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Disclaimer: IMPORTANT: This Apple software is supplied to you by Apple Inc.
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("Apple") in consideration of your agreement to the following terms, and your
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use, installation, modification or redistribution of this Apple software
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constitutes acceptance of these terms. If you do not agree with these terms,
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please do not use, install, modify or redistribute this Apple software.
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In consideration of your agreement to abide by the following terms, and subject
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to these terms, Apple grants you a personal, non-exclusive license, under
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Apple's copyrights in this original Apple software (the "Apple Software"), to
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use, reproduce, modify and redistribute the Apple Software, with or without
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modifications, in source and/or binary forms; provided that if you redistribute
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the Apple Software in its entirety and without modifications, you must retain
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this notice and the following text and disclaimers in all such redistributions
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of the Apple Software.
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Neither the name, trademarks, service marks or logos of Apple Inc. may be used
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to endorse or promote products derived from the Apple Software without specific
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prior written permission from Apple. Except as expressly stated in this notice,
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no other rights or licenses, express or implied, are granted by Apple herein,
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including but not limited to any patent rights that may be infringed by your
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derivative works or by other works in which the Apple Software may be
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incorporated.
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The Apple Software is provided by Apple on an "AS IS" basis. APPLE MAKES NO
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WARRANTIES, EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION THE IMPLIED
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WARRANTIES OF NON-INFRINGEMENT, MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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PURPOSE, REGARDING THE APPLE SOFTWARE OR ITS USE AND OPERATION ALONE OR IN
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COMBINATION WITH YOUR PRODUCTS.
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IN NO EVENT SHALL APPLE BE LIABLE FOR ANY SPECIAL, INDIRECT, INCIDENTAL OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
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GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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ARISING IN ANY WAY OUT OF THE USE, REPRODUCTION, MODIFICATION AND/OR
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DISTRIBUTION OF THE APPLE SOFTWARE, HOWEVER CAUSED AND WHETHER UNDER THEORY OF
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CONTRACT, TORT (INCLUDING NEGLIGENCE), STRICT LIABILITY OR OTHERWISE, EVEN IF
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APPLE HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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Copyright (C) 2009 Apple Inc. All Rights Reserved.
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*/
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#include <math.h>
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#include "matrix.h"
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/*
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NOTE: These functions are created for your convenience but the matrix algorithms
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are not optimized. You are encouraged to do additional research on your own to
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implement a more robust numerical algorithm.
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*/
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void mat4f_LoadIdentity(float* m)
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{
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m[0] = 1.0f;
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m[1] = 0.0f;
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m[2] = 0.0f;
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m[3] = 0.0f;
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m[4] = 0.0f;
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m[5] = 1.0f;
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m[6] = 0.0f;
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m[7] = 0.0f;
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m[8] = 0.0f;
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m[9] = 0.0f;
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m[10] = 1.0f;
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m[11] = 0.0f;
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m[12] = 0.0f;
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m[13] = 0.0f;
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m[14] = 0.0f;
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m[15] = 1.0f;
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}
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// s is a 3D vector
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void mat4f_LoadScale(float* s, float* m)
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{
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m[0] = s[0];
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m[1] = 0.0f;
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m[2] = 0.0f;
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m[3] = 0.0f;
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m[4] = 0.0f;
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m[5] = s[1];
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m[6] = 0.0f;
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m[7] = 0.0f;
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m[8] = 0.0f;
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m[9] = 0.0f;
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m[10] = s[2];
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m[11] = 0.0f;
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m[12] = 0.0f;
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m[13] = 0.0f;
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m[14] = 0.0f;
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m[15] = 1.0f;
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}
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void mat4f_LoadXRotation(float radians, float* m)
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{
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float cosrad = cosf(radians);
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float sinrad = sinf(radians);
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m[0] = 1.0f;
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m[1] = 0.0f;
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m[2] = 0.0f;
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m[3] = 0.0f;
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m[4] = 0.0f;
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m[5] = cosrad;
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m[6] = sinrad;
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m[7] = 0.0f;
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m[8] = 0.0f;
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m[9] = -sinrad;
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m[10] = cosrad;
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m[11] = 0.0f;
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m[12] = 0.0f;
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m[13] = 0.0f;
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m[14] = 0.0f;
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m[15] = 1.0f;
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}
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void mat4f_LoadYRotation(float radians, float* mout)
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{
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float cosrad = cosf(radians);
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float sinrad = sinf(radians);
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mout[0] = cosrad;
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mout[1] = 0.0f;
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mout[2] = -sinrad;
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mout[3] = 0.0f;
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mout[4] = 0.0f;
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mout[5] = 1.0f;
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mout[6] = 0.0f;
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mout[7] = 0.0f;
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mout[8] = sinrad;
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mout[9] = 0.0f;
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mout[10] = cosrad;
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mout[11] = 0.0f;
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mout[12] = 0.0f;
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mout[13] = 0.0f;
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mout[14] = 0.0f;
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mout[15] = 1.0f;
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}
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void mat4f_LoadZRotation(float radians, float* mout)
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{
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float cosrad = cosf(radians);
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float sinrad = sinf(radians);
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mout[0] = cosrad;
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mout[1] = sinrad;
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mout[2] = 0.0f;
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mout[3] = 0.0f;
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mout[4] = -sinrad;
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mout[5] = cosrad;
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mout[6] = 0.0f;
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mout[7] = 0.0f;
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mout[8] = 0.0f;
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mout[9] = 0.0f;
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mout[10] = 1.0f;
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mout[11] = 0.0f;
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mout[12] = 0.0f;
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mout[13] = 0.0f;
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mout[14] = 0.0f;
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mout[15] = 1.0f;
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}
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// v is a 3D vector
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void mat4f_LoadTranslation(float* v, float* mout)
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{
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mout[0] = 1.0f;
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mout[1] = 0.0f;
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mout[2] = 0.0f;
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mout[3] = 0.0f;
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mout[4] = 0.0f;
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mout[5] = 1.0f;
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mout[6] = 0.0f;
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mout[7] = 0.0f;
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mout[8] = 0.0f;
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mout[9] = 0.0f;
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mout[10] = 1.0f;
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mout[11] = 0.0f;
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mout[12] = v[0];
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mout[13] = v[1];
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mout[14] = v[2];
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mout[15] = 1.0f;
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}
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void mat4f_LoadPerspective(float fov_radians, float aspect, float zNear, float zFar, float* mout)
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{
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float f = 1.0f / tanf(fov_radians/2.0f);
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mout[0] = f / aspect;
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mout[1] = 0.0f;
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mout[2] = 0.0f;
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mout[3] = 0.0f;
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mout[4] = 0.0f;
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mout[5] = f;
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mout[6] = 0.0f;
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mout[7] = 0.0f;
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mout[8] = 0.0f;
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mout[9] = 0.0f;
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mout[10] = (zFar+zNear) / (zNear-zFar);
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mout[11] = -1.0f;
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mout[12] = 0.0f;
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mout[13] = 0.0f;
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mout[14] = 2 * zFar * zNear / (zNear-zFar);
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mout[15] = 0.0f;
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}
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void mat4f_LoadOrtho(float left, float right, float bottom, float top, float near, float far, float* mout)
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{
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float r_l = right - left;
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float t_b = top - bottom;
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float f_n = far - near;
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float tx = - (right + left) / (right - left);
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float ty = - (top + bottom) / (top - bottom);
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float tz = - (far + near) / (far - near);
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mout[0] = 2.0f / r_l;
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mout[1] = 0.0f;
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mout[2] = 0.0f;
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mout[3] = 0.0f;
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mout[4] = 0.0f;
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mout[5] = 2.0f / t_b;
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mout[6] = 0.0f;
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mout[7] = 0.0f;
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mout[8] = 0.0f;
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mout[9] = 0.0f;
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mout[10] = -2.0f / f_n;
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mout[11] = 0.0f;
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mout[12] = tx;
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mout[13] = ty;
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mout[14] = tz;
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mout[15] = 1.0f;
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}
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void mat4f_MultiplyMat4f(const float* a, const float* b, float* mout)
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{
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mout[0] = a[0] * b[0] + a[4] * b[1] + a[8] * b[2] + a[12] * b[3];
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mout[1] = a[1] * b[0] + a[5] * b[1] + a[9] * b[2] + a[13] * b[3];
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mout[2] = a[2] * b[0] + a[6] * b[1] + a[10] * b[2] + a[14] * b[3];
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mout[3] = a[3] * b[0] + a[7] * b[1] + a[11] * b[2] + a[15] * b[3];
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mout[4] = a[0] * b[4] + a[4] * b[5] + a[8] * b[6] + a[12] * b[7];
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mout[5] = a[1] * b[4] + a[5] * b[5] + a[9] * b[6] + a[13] * b[7];
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mout[6] = a[2] * b[4] + a[6] * b[5] + a[10] * b[6] + a[14] * b[7];
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mout[7] = a[3] * b[4] + a[7] * b[5] + a[11] * b[6] + a[15] * b[7];
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mout[8] = a[0] * b[8] + a[4] * b[9] + a[8] * b[10] + a[12] * b[11];
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mout[9] = a[1] * b[8] + a[5] * b[9] + a[9] * b[10] + a[13] * b[11];
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mout[10] = a[2] * b[8] + a[6] * b[9] + a[10] * b[10] + a[14] * b[11];
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mout[11] = a[3] * b[8] + a[7] * b[9] + a[11] * b[10] + a[15] * b[11];
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mout[12] = a[0] * b[12] + a[4] * b[13] + a[8] * b[14] + a[12] * b[15];
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mout[13] = a[1] * b[12] + a[5] * b[13] + a[9] * b[14] + a[13] * b[15];
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mout[14] = a[2] * b[12] + a[6] * b[13] + a[10] * b[14] + a[14] * b[15];
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mout[15] = a[3] * b[12] + a[7] * b[13] + a[11] * b[14] + a[15] * b[15];
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}
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void mat4f_LoadCGAffineTransform(float* m, CGAffineTransform t)
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{
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m[0] = t.a;
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m[1] = t.b;
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m[2] = 0.0f;
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m[3] = 0.0f;
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m[4] = t.c;
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m[5] = t.d;
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m[6] = 0.0f;
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m[7] = 0.0f;
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m[8] = 0.0f;
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m[9] = 0.0f;
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m[10] = 1.0f;
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m[11] = 0.0f;
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m[12] = t.tx;
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m[13] = t.ty;
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m[14] = 0.0f;
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m[15] = 1.0f;
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}
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