1 /*------------------------------------------------------------------------ |
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2 * |
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3 * OpenVG 1.1 Reference Implementation |
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4 * ----------------------------------- |
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5 * |
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6 * Copyright (c) 2007 The Khronos Group Inc. |
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7 * |
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8 * Permission is hereby granted, free of charge, to any person obtaining a |
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9 * copy of this software and /or associated documentation files |
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10 * (the "Materials "), to deal in the Materials without restriction, |
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11 * including without limitation the rights to use, copy, modify, merge, |
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12 * publish, distribute, sublicense, and/or sell copies of the Materials, |
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13 * and to permit persons to whom the Materials are furnished to do so, |
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14 * subject to the following conditions: |
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15 * |
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16 * The above copyright notice and this permission notice shall be included |
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17 * in all copies or substantial portions of the Materials. |
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18 * |
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19 * THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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20 * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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21 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. |
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22 * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, |
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23 * DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR |
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24 * OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE MATERIALS OR |
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25 * THE USE OR OTHER DEALINGS IN THE MATERIALS. |
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26 * |
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27 *//** |
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28 * \file |
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29 * \brief Implementation of non-inline matrix functions. |
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30 * \note |
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31 *//*-------------------------------------------------------------------*/ |
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32 |
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33 #include "riDefs.h" |
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34 #include "riMath.h" |
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35 |
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36 namespace OpenVGRI |
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37 { |
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38 |
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39 /*-------------------------------------------------------------------*//*! |
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40 * \brief Inverts a 3x3 matrix. Returns false if the matrix is singular. |
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41 * \param |
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42 * \return |
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43 * \note |
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44 *//*-------------------------------------------------------------------*/ |
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45 |
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46 bool Matrix3x3::invert() |
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47 { |
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48 bool affine = isAffine(); |
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49 RIfloat det00 = matrix[1][1]*matrix[2][2] - matrix[2][1]*matrix[1][2]; |
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50 RIfloat det01 = matrix[2][0]*matrix[1][2] - matrix[1][0]*matrix[2][2]; |
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51 RIfloat det02 = matrix[1][0]*matrix[2][1] - matrix[2][0]*matrix[1][1]; |
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52 |
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53 RIfloat d = matrix[0][0]*det00 + matrix[0][1]*det01 + matrix[0][2]*det02; |
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54 if( d == 0.0f ) return false; //singular, leave the matrix unmodified and return false |
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55 d = 1.0f / d; |
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56 |
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57 Matrix3x3 t; |
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58 t[0][0] = d * det00; |
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59 t[1][0] = d * det01; |
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60 t[2][0] = d * det02; |
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61 t[0][1] = d * (matrix[2][1]*matrix[0][2] - matrix[0][1]*matrix[2][2]); |
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62 t[1][1] = d * (matrix[0][0]*matrix[2][2] - matrix[2][0]*matrix[0][2]); |
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63 t[2][1] = d * (matrix[2][0]*matrix[0][1] - matrix[0][0]*matrix[2][1]); |
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64 t[0][2] = d * (matrix[0][1]*matrix[1][2] - matrix[1][1]*matrix[0][2]); |
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65 t[1][2] = d * (matrix[1][0]*matrix[0][2] - matrix[0][0]*matrix[1][2]); |
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66 t[2][2] = d * (matrix[0][0]*matrix[1][1] - matrix[1][0]*matrix[0][1]); |
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67 if(affine) |
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68 t[2].set(0,0,1); //affine matrix stays affine |
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69 *this = t; |
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70 return true; |
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71 } |
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72 |
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73 //============================================================================================== |
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74 |
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75 } //namespace OpenVGRI |
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