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1 (* |
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2 * Hedgewars, a free turn based strategy game |
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3 * Copyright (c) 2004-2012 Andrey Korotaev <unC0Rr@gmail.com> |
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4 * |
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5 * This program is free software; you can redistribute it and/or modify |
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6 * it under the terms of the GNU General Public License as published by |
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7 * the Free Software Foundation; version 2 of the License |
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8 * |
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9 * This program is distributed in the hope that it will be useful, |
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10 * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 * GNU General Public License for more details. |
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13 * |
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14 * You should have received a copy of the GNU General Public License |
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15 * along with this program; if not, write to the Free Software |
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16 * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA |
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17 *) |
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18 |
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19 {$INCLUDE "options.inc"} |
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20 |
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21 unit uMatrix; |
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22 |
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23 interface |
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24 |
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25 uses uTypes {$IFNDEF PAS2C}, gl{$ENDIF}; |
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26 |
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27 const |
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28 MATRIX_MODELVIEW:Integer = 0; |
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29 MATRIX_PROJECTION:Integer = 1; |
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30 |
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31 procedure MatrixLoadIdentity(out Result: TMatrix4x4f); |
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32 procedure MatrixMultiply(out Result: TMatrix4x4f; const lhs, rhs: TMatrix4x4f); |
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33 |
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34 procedure hglMatrixMode(t: Integer); |
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35 procedure hglLoadIdentity(); |
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36 procedure hglPushMatrix(); |
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37 procedure hglPopMatrix(); |
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38 procedure hglMVP(var res : TMatrix4x4f); |
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39 procedure hglScalef(x: GLfloat; y: GLfloat; z: GLfloat); |
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40 procedure hglTranslatef(x: GLfloat; y: GLfloat; z: GLfloat); |
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41 procedure hglRotatef(a:GLfloat; x:GLfloat; y:GLfloat; z:GLfloat); |
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42 procedure initModule(); |
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43 procedure freeModule(); |
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44 |
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45 implementation |
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46 |
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47 const |
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48 MATRIX_STACK_SIZE = 10; |
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49 |
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50 type |
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51 TMatrixStack = record |
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52 top:Integer; |
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53 stack: array[0..9] of TMatrix4x4f; |
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54 end; |
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55 var |
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56 MatrixStacks : array[0..1] of TMatrixStack; |
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57 CurMatrix: integer; |
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58 |
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59 procedure MatrixLoadIdentity(out Result: TMatrix4x4f); |
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60 begin |
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61 Result[0,0]:= 1.0; Result[1,0]:=0.0; Result[2,0]:=0.0; Result[3,0]:=0.0; |
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62 Result[0,1]:= 0.0; Result[1,1]:=1.0; Result[2,1]:=0.0; Result[3,1]:=0.0; |
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63 Result[0,2]:= 0.0; Result[1,2]:=0.0; Result[2,2]:=1.0; Result[3,2]:=0.0; |
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64 Result[0,3]:= 0.0; Result[1,3]:=0.0; Result[2,3]:=0.0; Result[3,3]:=1.0; |
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65 end; |
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66 |
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67 procedure hglMatrixMode(t: Integer); |
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68 begin |
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69 CurMatrix := t; |
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70 end; |
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71 |
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72 procedure hglLoadIdentity(); |
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73 begin |
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74 MatrixLoadIdentity(MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top]); |
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75 end; |
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76 |
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77 procedure hglScalef(x: GLfloat; y: GLfloat; z: GLfloat); |
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78 var |
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79 m:TMatrix4x4f; |
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80 t:TMatrix4x4f; |
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81 begin |
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82 m[0,0]:=x;m[1,0]:=0;m[2,0]:=0;m[3,0]:=0; |
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83 m[0,1]:=0;m[1,1]:=y;m[2,1]:=0;m[3,1]:=0; |
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84 m[0,2]:=0;m[1,2]:=0;m[2,2]:=z;m[3,2]:=0; |
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85 m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1; |
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86 |
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87 MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m); |
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88 MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t; |
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89 end; |
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90 |
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91 procedure hglTranslatef(x: GLfloat; y: GLfloat; z: GLfloat); |
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92 var |
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93 m:TMatrix4x4f; |
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94 t:TMatrix4x4f; |
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95 begin |
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96 m[0,0]:=1;m[1,0]:=0;m[2,0]:=0;m[3,0]:=x; |
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97 m[0,1]:=0;m[1,1]:=1;m[2,1]:=0;m[3,1]:=y; |
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98 m[0,2]:=0;m[1,2]:=0;m[2,2]:=1;m[3,2]:=z; |
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99 m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1; |
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100 |
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101 MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m); |
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102 MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t; |
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103 end; |
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104 |
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105 procedure hglRotatef(a:GLfloat; x:GLfloat; y:GLfloat; z:GLfloat); |
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106 var |
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107 m:TMatrix4x4f; |
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108 t:TMatrix4x4f; |
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109 c:GLfloat; |
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110 s:GLfloat; |
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111 xn, yn, zn:GLfloat; |
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112 l:GLfloat; |
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113 begin |
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114 a:=a * 3.14159265368 / 180; |
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115 c:=cos(a); |
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116 s:=sin(a); |
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117 |
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118 l := 1.0 / sqrt(x * x + y * y + z * z); |
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119 xn := x * l; |
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120 yn := y * l; |
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121 zn := z * l; |
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122 |
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123 m[0,0]:=c + xn * xn * (1 - c); |
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124 m[1,0]:=xn * yn * (1 - c) - zn * s; |
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125 m[2,0]:=xn * zn * (1 - c) + yn * s; |
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126 m[3,0]:=0; |
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127 |
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128 |
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129 m[0,1]:=yn * xn * (1 - c) + zn * s; |
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130 m[1,1]:=c + yn * yn * (1 - c); |
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131 m[2,1]:=yn * zn * (1 - c) - xn * s; |
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132 m[3,1]:=0; |
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133 |
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134 m[0,2]:=zn * xn * (1 - c) - yn * s; |
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135 m[1,2]:=zn * yn * (1 - c) + xn * s; |
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136 m[2,2]:=c + zn * zn * (1 - c); |
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137 m[3,2]:=0; |
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138 |
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139 m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1; |
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140 |
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141 MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m); |
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142 MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t; |
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143 end; |
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144 |
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145 procedure hglMVP(var res: TMatrix4x4f); |
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146 begin |
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147 MatrixMultiply(res, |
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148 MatrixStacks[MATRIX_PROJECTION].stack[MatrixStacks[MATRIX_PROJECTION].top], |
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149 MatrixStacks[MATRIX_MODELVIEW].stack[MatrixStacks[MATRIX_MODELVIEW].top]); |
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150 end; |
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151 |
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152 procedure hglPushMatrix(); |
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153 var |
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154 t: Integer; |
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155 begin |
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156 t := MatrixStacks[CurMatrix].top; |
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157 MatrixStacks[CurMatrix].stack[t + 1] := MatrixStacks[CurMatrix].stack[t]; |
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158 inc(t); |
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159 MatrixStacks[CurMatrix].top := t; |
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160 end; |
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161 |
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162 procedure hglPopMatrix(); |
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163 var |
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164 t: Integer; |
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165 begin |
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166 t := MatrixStacks[CurMatrix].top; |
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167 dec(t); |
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168 MatrixStacks[CurMatrix].top := t; |
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169 end; |
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170 |
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171 procedure initModule(); |
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172 begin |
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173 MatrixStacks[MATRIX_MODELVIEW].top := 0; |
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174 MatrixStacks[MATRIX_Projection].top := 0; |
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175 MatrixLoadIdentity(MatrixStacks[MATRIX_MODELVIEW].stack[0]); |
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176 MatrixLoadIdentity(MatrixStacks[MATRIX_PROJECTION].stack[0]); |
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177 end; |
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178 |
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179 procedure freeModule(); |
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180 begin |
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181 end; |
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182 |
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183 procedure MatrixMultiply(out Result: TMatrix4x4f; const lhs, rhs: TMatrix4x4f); |
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184 var |
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185 test: TMatrix4x4f; |
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186 i, j: Integer; |
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187 error: boolean; |
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188 begin |
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189 Result[0,0]:=lhs[0,0]*rhs[0,0] + lhs[1,0]*rhs[0,1] + lhs[2,0]*rhs[0,2] + lhs[3,0]*rhs[0,3]; |
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190 Result[0,1]:=lhs[0,1]*rhs[0,0] + lhs[1,1]*rhs[0,1] + lhs[2,1]*rhs[0,2] + lhs[3,1]*rhs[0,3]; |
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191 Result[0,2]:=lhs[0,2]*rhs[0,0] + lhs[1,2]*rhs[0,1] + lhs[2,2]*rhs[0,2] + lhs[3,2]*rhs[0,3]; |
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192 Result[0,3]:=lhs[0,3]*rhs[0,0] + lhs[1,3]*rhs[0,1] + lhs[2,3]*rhs[0,2] + lhs[3,3]*rhs[0,3]; |
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193 |
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194 Result[1,0]:=lhs[0,0]*rhs[1,0] + lhs[1,0]*rhs[1,1] + lhs[2,0]*rhs[1,2] + lhs[3,0]*rhs[1,3]; |
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195 Result[1,1]:=lhs[0,1]*rhs[1,0] + lhs[1,1]*rhs[1,1] + lhs[2,1]*rhs[1,2] + lhs[3,1]*rhs[1,3]; |
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196 Result[1,2]:=lhs[0,2]*rhs[1,0] + lhs[1,2]*rhs[1,1] + lhs[2,2]*rhs[1,2] + lhs[3,2]*rhs[1,3]; |
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197 Result[1,3]:=lhs[0,3]*rhs[1,0] + lhs[1,3]*rhs[1,1] + lhs[2,3]*rhs[1,2] + lhs[3,3]*rhs[1,3]; |
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198 |
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199 Result[2,0]:=lhs[0,0]*rhs[2,0] + lhs[1,0]*rhs[2,1] + lhs[2,0]*rhs[2,2] + lhs[3,0]*rhs[2,3]; |
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200 Result[2,1]:=lhs[0,1]*rhs[2,0] + lhs[1,1]*rhs[2,1] + lhs[2,1]*rhs[2,2] + lhs[3,1]*rhs[2,3]; |
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201 Result[2,2]:=lhs[0,2]*rhs[2,0] + lhs[1,2]*rhs[2,1] + lhs[2,2]*rhs[2,2] + lhs[3,2]*rhs[2,3]; |
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202 Result[2,3]:=lhs[0,3]*rhs[2,0] + lhs[1,3]*rhs[2,1] + lhs[2,3]*rhs[2,2] + lhs[3,3]*rhs[2,3]; |
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203 |
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204 Result[3,0]:=lhs[0,0]*rhs[3,0] + lhs[1,0]*rhs[3,1] + lhs[2,0]*rhs[3,2] + lhs[3,0]*rhs[3,3]; |
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205 Result[3,1]:=lhs[0,1]*rhs[3,0] + lhs[1,1]*rhs[3,1] + lhs[2,1]*rhs[3,2] + lhs[3,1]*rhs[3,3]; |
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206 Result[3,2]:=lhs[0,2]*rhs[3,0] + lhs[1,2]*rhs[3,1] + lhs[2,2]*rhs[3,2] + lhs[3,2]*rhs[3,3]; |
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207 Result[3,3]:=lhs[0,3]*rhs[3,0] + lhs[1,3]*rhs[3,1] + lhs[2,3]*rhs[3,2] + lhs[3,3]*rhs[3,3]; |
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208 |
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209 { |
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210 Result[0,0]:=lhs[0,0]*rhs[0,0] + lhs[1,0]*rhs[0,1] + lhs[2,0]*rhs[0,2] + lhs[3,0]*rhs[0,3]; |
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211 Result[0,1]:=lhs[0,0]*rhs[1,0] + lhs[1,0]*rhs[1,1] + lhs[2,0]*rhs[1,2] + lhs[3,0]*rhs[1,3]; |
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212 Result[0,2]:=lhs[0,0]*rhs[2,0] + lhs[1,0]*rhs[2,1] + lhs[2,0]*rhs[2,2] + lhs[3,0]*rhs[2,3]; |
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213 Result[0,3]:=lhs[0,0]*rhs[3,0] + lhs[1,0]*rhs[3,1] + lhs[2,0]*rhs[3,2] + lhs[3,0]*rhs[3,3]; |
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214 |
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215 Result[1,0]:=lhs[0,1]*rhs[0,0] + lhs[1,1]*rhs[0,1] + lhs[2,1]*rhs[0,2] + lhs[3,1]*rhs[0,3]; |
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216 Result[1,1]:=lhs[0,1]*rhs[1,0] + lhs[1,1]*rhs[1,1] + lhs[2,1]*rhs[1,2] + lhs[3,1]*rhs[1,3]; |
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217 Result[1,2]:=lhs[0,1]*rhs[2,0] + lhs[1,1]*rhs[2,1] + lhs[2,1]*rhs[2,2] + lhs[3,1]*rhs[2,3]; |
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218 Result[1,3]:=lhs[0,1]*rhs[3,0] + lhs[1,1]*rhs[3,1] + lhs[2,1]*rhs[3,2] + lhs[3,1]*rhs[3,3]; |
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219 |
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220 Result[2,0]:=lhs[0,2]*rhs[0,0] + lhs[1,2]*rhs[0,1] + lhs[2,2]*rhs[0,2] + lhs[3,2]*rhs[0,3]; |
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221 Result[2,1]:=lhs[0,2]*rhs[1,0] + lhs[1,2]*rhs[1,1] + lhs[2,2]*rhs[1,2] + lhs[3,2]*rhs[1,3]; |
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222 Result[2,2]:=lhs[0,2]*rhs[2,0] + lhs[1,2]*rhs[2,1] + lhs[2,2]*rhs[2,2] + lhs[3,2]*rhs[2,3]; |
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223 Result[2,3]:=lhs[0,2]*rhs[3,0] + lhs[1,2]*rhs[3,1] + lhs[2,2]*rhs[3,2] + lhs[3,2]*rhs[3,3]; |
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224 |
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225 Result[3,0]:=lhs[0,3]*rhs[0,0] + lhs[1,3]*rhs[0,1] + lhs[2,3]*rhs[0,2] + lhs[3,3]*rhs[0,3]; |
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226 Result[3,1]:=lhs[0,3]*rhs[1,0] + lhs[1,3]*rhs[1,1] + lhs[2,3]*rhs[1,2] + lhs[3,3]*rhs[1,3]; |
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227 Result[3,2]:=lhs[0,3]*rhs[2,0] + lhs[1,3]*rhs[2,1] + lhs[2,3]*rhs[2,2] + lhs[3,3]*rhs[2,3]; |
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228 Result[3,3]:=lhs[0,3]*rhs[3,0] + lhs[1,3]*rhs[3,1] + lhs[2,3]*rhs[3,2] + lhs[3,3]*rhs[3,3]; |
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229 } |
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230 |
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231 {$IFNDEF PAS2C} |
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232 glPushMatrix; |
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233 glLoadMatrixf(@lhs[0, 0]); |
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234 glMultMatrixf(@rhs[0, 0]); |
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235 glGetFloatv(GL_MODELVIEW_MATRIX, @test[0, 0]); |
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236 glPopMatrix; |
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237 |
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238 error:=false; |
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239 for i:=0 to 3 do |
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240 for j:=0 to 3 do |
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241 if Abs(test[i, j] - Result[i, j]) > 0.000001 then |
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242 error:=true; |
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243 |
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244 if error then |
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245 begin |
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246 writeln('shall:'); |
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247 for i:=0 to 3 do |
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248 begin |
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249 for j:=0 to 3 do |
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250 write(test[i, j]); |
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251 writeln; |
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252 end; |
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253 |
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254 writeln('is:'); |
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255 for i:=0 to 3 do |
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256 begin |
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257 for j:=0 to 3 do |
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258 write(Result[i, j]); |
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259 writeln; |
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260 end; |
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261 halt(0); |
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262 end; |
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263 {$ENDIF} |
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264 |
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265 end; |
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266 |
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267 |
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268 end. |