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/*------------------------------------------------------------------------
*
* OpenVG 1.1 Reference Implementation
* -----------------------------------
*
* Copyright (c) 2007 The Khronos Group Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a
* copy of this software and /or associated documentation files
* (the "Materials "), to deal in the Materials without restriction,
* including without limitation the rights to use, copy, modify, merge,
* publish, distribute, sublicense, and/or sell copies of the Materials,
* and to permit persons to whom the Materials are furnished to do so,
* subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included
* in all copies or substantial portions of the Materials.
*
* THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
* DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
* OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE MATERIALS OR
* THE USE OR OTHER DEALINGS IN THE MATERIALS.
*
*//**
* \file
* \brief Implementation of non-inline matrix functions.
* \note
*//*-------------------------------------------------------------------*/
#include "Defs.h"
#include "Math.h"
namespace tgOpenVG
{
/*-------------------------------------------------------------------*//*!
* \brief Inverts a 3x3 matrix. Returns false if the matrix is singular.
* \param
* \return
* \note
*//*-------------------------------------------------------------------*/
bool Matrix3x3::invert()
{
bool affine = isAffine();
RIfloat det00 = matrix[1][1]*matrix[2][2] - matrix[2][1]*matrix[1][2];
RIfloat det01 = matrix[2][0]*matrix[1][2] - matrix[1][0]*matrix[2][2];
RIfloat det02 = matrix[1][0]*matrix[2][1] - matrix[2][0]*matrix[1][1];
RIfloat d = matrix[0][0]*det00 + matrix[0][1]*det01 + matrix[0][2]*det02;
if( d == 0.0f ) return false; //singular, leave the matrix unmodified and return false
d = 1.0f / d;
Matrix3x3 t;
t[0][0] = d * det00;
t[1][0] = d * det01;
t[2][0] = d * det02;
t[0][1] = d * (matrix[2][1]*matrix[0][2] - matrix[0][1]*matrix[2][2]);
t[1][1] = d * (matrix[0][0]*matrix[2][2] - matrix[2][0]*matrix[0][2]);
t[2][1] = d * (matrix[2][0]*matrix[0][1] - matrix[0][0]*matrix[2][1]);
t[0][2] = d * (matrix[0][1]*matrix[1][2] - matrix[1][1]*matrix[0][2]);
t[1][2] = d * (matrix[1][0]*matrix[0][2] - matrix[0][0]*matrix[1][2]);
t[2][2] = d * (matrix[0][0]*matrix[1][1] - matrix[1][0]*matrix[0][1]);
if(affine)
t[2].set(0,0,1); //affine matrix stays affine
*this = t;
return true;
}
//==============================================================================================
} //namespace tgOpenVG
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