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# Matrix3.inl

    00001
    00002 //
    00003 // SFGE - Simple and Fast Multimedia Library
    00004 // Copyright (C) 2007-2009 Laurent Gomila (laurent.gom@gmail.com)
    00005 //
    00006 // This software is provided 'as-is', without any express or implied warranty.
    00007 // In no event will the authors be held liable for any damages arising from the use of this software.
    00008 //
    00009 // Permission is granted to anyone to use this software for any purpose,
    00010 // including commercial applications, and to alter it and redistribute it freely,
    00011 // subject to the following restrictions:
    00012 //
    00013 // 1. The origin of this software must not be misrepresented;
    00014 //    you must not claim that you wrote the original software.
    00015 //    If you use this software in a product, an acknowledgment
    00016 //    in the product documentation would be appreciated but is not required.
    00017 //
    00018 // 2. Altered source versions must be plainly marked as such,
    00019 //    and must not be misrepresented as being the original software.
    00020 //
    00021 // 3. This notice may not be removed or altered from any source distribution.
    00022 //
    00024
    00025
    00029 inline Matrix3::Matrix3()
    00030 {
    00031     myData[0] = 1.f; myData[4] = 0.f; myData[8]  = 0.f; myData[12] = 0.f;
    00032     myData[1] = 0.f; myData[5] = 1.f; myData[9]  = 0.f; myData[13] = 0.f;
    00033     myData[2] = 0.f; myData[6] = 0.f; myData[10] = 1.f; myData[14] = 0.f;
    00034     myData[3] = 0.f; myData[7] = 0.f; myData[11] = 0.f; myData[15] = 1.f;
    00035 }
    00036
    00037
    00041 inline Matrix3::Matrix3(float a00, float a01, float a02,
    00042                         float a10, float a11, float a12,
    00043                         float a20, float a21, float a22)
    00044 {
    00045     myData[0] = a00; myData[4] = a01; myData[8]  = 0.f; myData[12] = a02;
    00046     myData[1] = a10; myData[5] = a11; myData[9]  = 0.f; myData[13] = a12;
    00047     myData[2] = 0.f; myData[6] = 0.f; myData[10] = 1.f; myData[14] = 0.f;
    00048     myData[3] = a20; myData[7] = a21; myData[11] = 0.f; myData[15] = a22;
    00049 }
    00050
    00051
    00055 inline void Matrix3::SetFromTransformations(const Vector2f& Center, const Vector2f& Translation, float Rotation, const Vector2f& Scale)
    00056 {
    00057     float Angle = Rotation * 3.141592654f / 180.f;
    00058     float Cos   = static_cast<float>(cos(Angle));
    00059     float Sin   = static_cast<float>(sin(Angle));
    00060     float SxCos = Scale.x * Cos;
    00061     float SyCos = Scale.y * Cos;
    00062     float SxSin = Scale.x * Sin;
    00063     float SySin = Scale.y * Sin;
    00064     float Tx    = -Center.x * SxCos - Center.y * SySin + Translation.x;
    00065     float Ty    =  Center.x * SxSin - Center.y * SyCos + Translation.y;
    00066
    00067     myData[0] =  SxCos; myData[4] = SySin; myData[8]  = 0.f; myData[12] = Tx;
    00068     myData[1] = -SxSin; myData[5] = SyCos; myData[9]  = 0.f; myData[13] = Ty;
    00069     myData[2] =  0.f;   myData[6] = 0.f;   myData[10] = 1.f; myData[14] = 0.f;
    00070     myData[3] =  0.f;   myData[7] = 0.f;   myData[11] = 0.f; myData[15] = 1.f;
    00071 }
    00072
    00073
    00077 inline Vector2f Matrix3::Transform(const Vector2f& Point) const
    00078 {
    00079     return Vector2f(myData[0] * Point.x + myData[4] * Point.y + myData[12],
    00080                     myData[1] * Point.x + myData[5] * Point.y + myData[13]);
    00081 }
    00082
    00083
    00087 inline Matrix3 Matrix3::GetInverse() const
    00088 {
    00089     // Compute the determinant
    00090     float Det = myData[0] * (myData[15] * myData[5] - myData[7] * myData[13]) -
    00091                 myData[1] * (myData[15] * myData[4] - myData[7] * myData[12]) +
    00092                 myData[3] * (myData[13] * myData[4] - myData[5] * myData[12]);
    00093
    00094     // Compute the inverse if determinant is not zero
    00095     if ((Det < -1E-7f) || (Det > 1E-7f))
    00096     {
    00097         return Matrix3( (myData[15] * myData[5] - myData[7] * myData[13]) / Det,
    00098                        -(myData[15] * myData[4] - myData[7] * myData[12]) / Det,
    00099                         (myData[13] * myData[4] - myData[5] * myData[12]) / Det,
    00100                        -(myData[15] * myData[1] - myData[3] * myData[13]) / Det,
    00101                         (myData[15] * myData[0] - myData[3] * myData[12]) / Det,
    00102                        -(myData[13] * myData[0] - myData[1] * myData[12]) / Det,
    00103                         (myData[7]  * myData[1] - myData[3] * myData[5])  / Det,
    00104                        -(myData[7]  * myData[0] - myData[3] * myData[4])  / Det,
    00105                         (myData[5]  * myData[0] - myData[1] * myData[4])  / Det);
    00106     }
    00107     else
    00108     {
    00109         return Identity;
    00110     }
    00111 }
    00112
    00113
    00118 inline const float* Matrix3::Get4x4Elements() const
    00119 {
    00120     return myData;
    00121 }
    00122
    00123
    00127 inline float Matrix3::operator ()(unsigned int Row, unsigned int Col) const
    00128 {
    00129     switch (Row + Col * 3)
    00130     {
    00131         case 0 : return myData[0];
    00132         case 1 : return myData[1];
    00133         case 2 : return myData[3];
    00134         case 3 : return myData[4];
    00135         case 4 : return myData[5];
    00136         case 5 : return myData[7];
    00137         case 6 : return myData[12];
    00138         case 7 : return myData[13];
    00139         case 8 : return myData[15];
    00140
    00141         default : return myData[0];
    00142     }
    00143 }
    00144 inline float& Matrix3::operator ()(unsigned int Row, unsigned int Col)
    00145 {
    00146     switch (Row + Col * 3)
    00147     {
    00148         case 0 : return myData[0];
    00149         case 1 : return myData[1];
    00150         case 2 : return myData[3];
    00151         case 3 : return myData[4];
    00152         case 4 : return myData[5];
    00153         case 5 : return myData[7];
    00154         case 6 : return myData[12];
    00155         case 7 : return myData[13];
    00156         case 8 : return myData[15];
    00157
    00158         default : return myData[0];
    00159     }
    00160 }
    00161
    00162
    00166 inline Matrix3 Matrix3::operator *(const Matrix3& Mat) const
    00167 {
    00168     return Matrix3(myData[0] * Mat.myData[0]  + myData[4] * Mat.myData[1]  + myData[12] * Mat.myData[3],
    00169                    myData[0] * Mat.myData[4]  + myData[4] * Mat.myData[5]  + myData[12] * Mat.myData[7],
    00170                    myData[0] * Mat.myData[12] + myData[4] * Mat.myData[13] + myData[12] * Mat.myData[15],
    00171                    myData[1] * Mat.myData[0]  + myData[5] * Mat.myData[1]  + myData[13] * Mat.myData[3],
    00172                    myData[1] * Mat.myData[4]  + myData[5] * Mat.myData[5]  + myData[13] * Mat.myData[7],
    00173                    myData[1] * Mat.myData[12] + myData[5] * Mat.myData[13] + myData[13] * Mat.myData[15],
    00174                    myData[3] * Mat.myData[0]  + myData[7] * Mat.myData[1]  + myData[15] * Mat.myData[3],
    00175                    myData[3] * Mat.myData[4]  + myData[7] * Mat.myData[5]  + myData[15] * Mat.myData[7],
    00176                    myData[3] * Mat.myData[12] + myData[7] * Mat.myData[13] + myData[15] * Mat.myData[15]);
    00177 }
    00178
    00179
    00183 inline Matrix3& Matrix3::operator *=(const Matrix3& Mat)
    00184 {
    00185     return *this = *this * Mat;
    00186 }

:: Copyright © 2007-2008 Laurent Gomila, all rights reserved :: Documentation generated by doxygen 1.5.2 ::