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/***************************************************************************
*
* Copyright 2010,2011 BMW Car IT GmbH
*
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* This file incorporates work covered by the following copyright and
* permission notice:
*
* Oolong Engine for the iPhone / iPod touch
* Copyright (c) 2007-2008 Wolfgang Engel http://code.google.com/p/oolongengine/
*
* This software is provided 'as-is', without any express or implied warranty.
* In no event will the authors be held liable for any damages arising from the use of this software.
* Permission is granted to anyone to use this software for any purpose,
* including commercial applications, and to alter it and redistribute it freely,
* subject to the following restrictions:
*
* 1. The origin of this software must not be misrepresented; you must not claim that
* you wrote the original software. If you use this software in a product, an
* acknowledgment in the product documentation would be appreciated but is not required.
* 2. Altered source versions must be plainly marked as such, and must not be misrepresented
* as being the original software.
* 3. This notice may not be removed or altered from any source distribution.
****************************************************************************/
#include "IlmMatrix.h"
#include <math.h>
#define ILM_PI 3.14159265
#define degToRad(deg) ((deg) * ILM_PI / 180.0f)
#define radToDeg(rad) ((rad) * 180.0f / ILM_PI)
void IlmMatrixIdentity(IlmMatrix &mOut)
{
mOut.f[0] = 1.0f;
mOut.f[1] = 0.0f;
mOut.f[2] = 0.0f;
mOut.f[3] = 0.0f;
mOut.f[4] = 0.0f;
mOut.f[5] = 1.0f;
mOut.f[6] = 0.0f;
mOut.f[7] = 0.0f;
mOut.f[8] = 0.0f;
mOut.f[9] = 0.0f;
mOut.f[10] = 1.0f;
mOut.f[11] = 0.0f;
mOut.f[12] = 0.0f;
mOut.f[13] = 0.0f;
mOut.f[14] = 0.0f;
mOut.f[15] = 1.0f;
}
void IlmMatrixMultiply(IlmMatrix &mOut, const IlmMatrix &mA, const IlmMatrix &mB)
{
IlmMatrix mRet;
mRet.f[0] = mA.f[0] * mB.f[0] + mA.f[1] * mB.f[4] + mA.f[2] * mB.f[8] + mA.f[3] * mB.f[12];
mRet.f[1] = mA.f[0] * mB.f[1] + mA.f[1] * mB.f[5] + mA.f[2] * mB.f[9] + mA.f[3] * mB.f[13];
mRet.f[2] = mA.f[0] * mB.f[2] + mA.f[1] * mB.f[6] + mA.f[2] * mB.f[10] + mA.f[3] * mB.f[14];
mRet.f[3] = mA.f[0] * mB.f[3] + mA.f[1] * mB.f[7] + mA.f[2] * mB.f[11] + mA.f[3] * mB.f[15];
mRet.f[4] = mA.f[4] * mB.f[0] + mA.f[5] * mB.f[4] + mA.f[6] * mB.f[8] + mA.f[7] * mB.f[12];
mRet.f[5] = mA.f[4] * mB.f[1] + mA.f[5] * mB.f[5] + mA.f[6] * mB.f[9] + mA.f[7] * mB.f[13];
mRet.f[6] = mA.f[4] * mB.f[2] + mA.f[5] * mB.f[6] + mA.f[6] * mB.f[10] + mA.f[7] * mB.f[14];
mRet.f[7] = mA.f[4] * mB.f[3] + mA.f[5] * mB.f[7] + mA.f[6] * mB.f[11] + mA.f[7] * mB.f[15];
mRet.f[8] = mA.f[8] * mB.f[0] + mA.f[9] * mB.f[4] + mA.f[10] * mB.f[8] + mA.f[11] * mB.f[12];
mRet.f[9] = mA.f[8] * mB.f[1] + mA.f[9] * mB.f[5] + mA.f[10] * mB.f[9] + mA.f[11] * mB.f[13];
mRet.f[10] = mA.f[8] * mB.f[2] + mA.f[9] * mB.f[6] + mA.f[10] * mB.f[10] + mA.f[11] * mB.f[14];
mRet.f[11] = mA.f[8] * mB.f[3] + mA.f[9] * mB.f[7] + mA.f[10] * mB.f[11] + mA.f[11] * mB.f[15];
mRet.f[12] = mA.f[12] * mB.f[0] + mA.f[13] * mB.f[4] + mA.f[14] * mB.f[8] + mA.f[15] * mB.f[12];
mRet.f[13] = mA.f[12] * mB.f[1] + mA.f[13] * mB.f[5] + mA.f[14] * mB.f[9] + mA.f[15] * mB.f[13];
mRet.f[14] = mA.f[12] * mB.f[2] + mA.f[13] * mB.f[6] + mA.f[14] * mB.f[10] + mA.f[15] * mB.f[14];
mRet.f[15] = mA.f[12] * mB.f[3] + mA.f[13] * mB.f[7] + mA.f[14] * mB.f[11] + mA.f[15] * mB.f[15];
mOut = mRet;
}
void IlmMatrixTranslation(IlmMatrix &mOut, const float X, const float Y, const float Z)
{
mOut.f[0] = 1.0f;
mOut.f[1] = 0.0f;
mOut.f[2] = 0.0f;
mOut.f[3] = 0.0f;
mOut.f[4] = 0.0f;
mOut.f[5] = 1.0f;
mOut.f[6] = 0.0f;
mOut.f[7] = 0.0f;
mOut.f[8] = 0.0f;
mOut.f[9] = 0.0f;
mOut.f[10] = 1.0f;
mOut.f[11] = 0.0f;
mOut.f[12] = X;
mOut.f[13] = Y;
mOut.f[14] = Z;
mOut.f[15] = 1.0f;
}
void IlmMatrixScaling(IlmMatrix &mOut, const float X, const float Y, const float Z)
{
mOut.f[0] = X;
mOut.f[1] = 0.0f;
mOut.f[2] = 0.0f;
mOut.f[3] = 0.0f;
mOut.f[4] = 0.0f;
mOut.f[5] = Y;
mOut.f[6] = 0.0f;
mOut.f[7] = 0.0f;
mOut.f[8] = 0.0f;
mOut.f[9] = 0.0f;
mOut.f[10] = Z;
mOut.f[11] = 0.0f;
mOut.f[12] = 0.0f;
mOut.f[13] = 0.0f;
mOut.f[14] = 0.0f;
mOut.f[15] = 1.0f;
}
void IlmMatrixRotateX(IlmMatrix &mOut, const float angle)
{
// Precompute cos and sin
float fCosine = (float)cos(degToRad(angle));
float fSine = (float)sin(degToRad(angle));
// Create the trigonometric matrix corresponding to X Rotation
mOut.f[0] = 1.0f;
mOut.f[1] = 0.0f;
mOut.f[2] = 0.0f;
mOut.f[3] = 0.0f;
mOut.f[4] = 0.0f;
mOut.f[5] = fCosine;
mOut.f[6] = -fSine;
mOut.f[7] = 0.0f;
mOut.f[8] = 0.0f;
mOut.f[9] = fSine;
mOut.f[10] = fCosine;
mOut.f[11] = 0.0f;
mOut.f[12] = 0.0f;
mOut.f[13] = 0.0f;
mOut.f[14] = 0.0f;
mOut.f[15] = 1.0f;
}
void IlmMatrixRotateY(IlmMatrix &mOut, const float angle)
{
// Precompute cos and sin
float fCosine = (float)cos(degToRad(angle));
float fSine = (float)sin(degToRad(angle));
// Create the trigonometric matrix corresponding to Y Rotation
mOut.f[0] = fCosine;
mOut.f[1] = 0.0f;
mOut.f[2] = fSine;
mOut.f[3] = 0.0f;
mOut.f[4] = 0.0f;
mOut.f[5] = 1.0f;
mOut.f[6] = 0.0f;
mOut.f[7] = 0.0f;
mOut.f[8] = -fSine;
mOut.f[9] = 0.0f;
mOut.f[10] = fCosine;
mOut.f[11] = 0.0f;
mOut.f[12] = 0.0f;
mOut.f[13] = 0.0f;
mOut.f[14] = 0.0f;
mOut.f[15] = 1.0f;
}
void IlmMatrixRotateZ(IlmMatrix &mOut, const float angle)
{
// Precompute cos and sin
float fCosine = (float)cos(degToRad(angle));
float fSine = (float)sin(degToRad(angle));
// Create the trigonometric matrix corresponding to Z Rotation
mOut.f[0] = fCosine;
mOut.f[1] = -fSine;
mOut.f[2] = 0.0f;
mOut.f[3] = 0.0f;
mOut.f[4] = fSine;
mOut.f[5] = fCosine;
mOut.f[6] = 0.0f;
mOut.f[7] = 0.0f;
mOut.f[8] = 0.0f;
mOut.f[9] = 0.0f;
mOut.f[10] = 1.0f;
mOut.f[11] = 0.0f;
mOut.f[12] = 0.0f;
mOut.f[13] = 0.0f;
mOut.f[14] = 0.0f;
mOut.f[15] = 1.0f;
}
void IlmMatrixProjection(IlmMatrix &mOut, const float fov, const float near, const float far, const float aspect)
{
// Precompute borders for projection
float range = near * tan(degToRad(fov) / 2.0);
float left = -range * aspect;
float right = range * aspect;
float bottom = -range;
float top = range;
// Column 1
mOut.f[0] = 2 * near / (right - left);
mOut.f[1] = 0.0;
mOut.f[2] = 0.0;
mOut.f[3] = 0.0;
// Column 2
mOut.f[4] = 0.0;
mOut.f[5] = 2 * near / (top - bottom);
mOut.f[6] = 0.0;
mOut.f[7] = 0.0;
// Column 3
mOut.f[8] = 0.0;
mOut.f[9] = 0.0;
mOut.f[10] = -(far + near) / (far - near);
mOut.f[11] = -1;
// Column 4
mOut.f[12] = 0.0;
mOut.f[13] = 0.0;
mOut.f[14] = -(2 * far * near) / (far - near);
mOut.f[15] = 0.0;
}
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