1 | /* -*- Mode: C; tab-width: 4 -*- */ |
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2 | /* ifs --- modified iterated functions system */ |
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3 | |
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4 | #if 0 |
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5 | static const char sccsid[] = "@(#)ifs.c 5.00 2000/11/01 xlockmore"; |
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6 | #endif |
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7 | |
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8 | /*- |
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9 | * Copyright (c) 1997 by Massimino Pascal <Pascal.Massimon@ens.fr> |
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10 | * |
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11 | * Permission to use, copy, modify, and distribute this software and its |
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12 | * documentation for any purpose and without fee is hereby granted, |
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13 | * provided that the above copyright notice appear in all copies and that |
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14 | * both that copyright notice and this permission notice appear in |
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15 | * supporting documentation. |
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16 | * |
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17 | * This file is provided AS IS with no warranties of any kind. The author |
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18 | * shall have no liability with respect to the infringement of copyrights, |
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19 | * trade secrets or any patents by this file or any part thereof. In no |
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20 | * event will the author be liable for any lost revenue or profits or |
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21 | * other special, indirect and consequential damages. |
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22 | * |
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23 | * If this mode is weird and you have an old MetroX server, it is buggy. |
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24 | * There is a free SuSE-enhanced MetroX X server that is fine. |
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25 | * |
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26 | * When shown ifs, Diana Rose (4 years old) said, "It looks like dancing." |
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27 | * |
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28 | * Revision History: |
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29 | * 01-Nov-2000: Allocation checks |
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30 | * 10-May-1997: jwz@jwz.org: turned into a standalone program. |
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31 | * Made it render into an offscreen bitmap and then copy |
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32 | * that onto the screen, to reduce flicker. |
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33 | */ |
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34 | |
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35 | #ifdef STANDALONE |
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36 | #define MODE_ifs |
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37 | #define PROGCLASS "IFS" |
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38 | #define HACK_INIT init_ifs |
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39 | #define HACK_DRAW draw_ifs |
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40 | #define ifs_opts xlockmore_opts |
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41 | #define DEFAULTS "*delay: 20000 \n" \ |
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42 | "*ncolors: 100 \n" |
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43 | #define SMOOTH_COLORS |
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44 | #include "xlockmore.h" /* in xscreensaver distribution */ |
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45 | #else /* STANDALONE */ |
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46 | #include "xlock.h" /* in xlockmore distribution */ |
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47 | #endif /* STANDALONE */ |
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48 | |
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49 | #ifdef MODE_ifs |
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50 | |
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51 | ModeSpecOpt ifs_opts = |
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52 | {0, (XrmOptionDescRec *) NULL, 0, (argtype *) NULL, (OptionStruct *) NULL}; |
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53 | |
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54 | #ifdef USE_MODULES |
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55 | ModStruct ifs_description = |
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56 | {"ifs", "init_ifs", "draw_ifs", "release_ifs", |
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57 | "init_ifs", "init_ifs", (char *) NULL, &ifs_opts, |
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58 | 1000, 1, 1, 1, 64, 1.0, "", |
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59 | "Shows a modified iterated function system", 0, NULL}; |
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60 | |
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61 | #endif |
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62 | |
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63 | /*****************************************************/ |
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64 | |
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65 | typedef float DBL; |
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66 | typedef int F_PT; |
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67 | |
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68 | /* typedef float F_PT; */ |
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69 | |
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70 | /*****************************************************/ |
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71 | |
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72 | #define FIX 12 |
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73 | #define UNIT ( 1<<FIX ) |
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74 | #define MAX_SIMI 6 |
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75 | |
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76 | /* settings for a PC 120Mhz... */ |
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77 | #define MAX_DEPTH_2 10 |
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78 | #define MAX_DEPTH_3 6 |
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79 | #define MAX_DEPTH_4 4 |
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80 | #define MAX_DEPTH_5 3 |
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81 | |
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82 | #define DBL_To_F_PT(x) (F_PT)( (DBL)(UNIT)*(x) ) |
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83 | |
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84 | typedef struct Similitude_Struct SIMI; |
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85 | typedef struct Fractal_Struct FRACTAL; |
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86 | |
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87 | struct Similitude_Struct { |
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88 | |
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89 | DBL c_x, c_y; |
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90 | DBL r, r2, A, A2; |
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91 | F_PT Ct, St, Ct2, St2; |
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92 | F_PT Cx, Cy; |
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93 | F_PT R, R2; |
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94 | }; |
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95 | |
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96 | struct Fractal_Struct { |
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97 | |
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98 | int Nb_Simi; |
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99 | SIMI Components[5 * MAX_SIMI]; |
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100 | int Depth, Col; |
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101 | int Count, Speed; |
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102 | int Width, Height, Lx, Ly; |
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103 | DBL r_mean, dr_mean, dr2_mean; |
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104 | int Cur_Pt, Max_Pt; |
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105 | XPoint *Buffer1, *Buffer2; |
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106 | Pixmap dbuf; |
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107 | GC dbuf_gc; |
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108 | }; |
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109 | |
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110 | static FRACTAL *Root = (FRACTAL *) NULL, *Cur_F; |
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111 | static XPoint *Buf; |
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112 | static int Cur_Pt; |
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113 | |
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114 | |
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115 | /*****************************************************/ |
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116 | |
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117 | static DBL |
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118 | Gauss_Rand(DBL c, DBL A, DBL S) |
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119 | { |
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120 | DBL y; |
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121 | |
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122 | y = (DBL) LRAND() / MAXRAND; |
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123 | y = A * (1.0 - exp(-y * y * S)) / (1.0 - exp(-S)); |
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124 | if (NRAND(2)) |
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125 | return (c + y); |
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126 | return (c - y); |
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127 | } |
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128 | |
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129 | static DBL |
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130 | Half_Gauss_Rand(DBL c, DBL A, DBL S) |
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131 | { |
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132 | DBL y; |
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133 | |
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134 | y = (DBL) LRAND() / MAXRAND; |
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135 | y = A * (1.0 - exp(-y * y * S)) / (1.0 - exp(-S)); |
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136 | return (c + y); |
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137 | } |
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138 | |
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139 | static void |
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140 | Random_Simis(FRACTAL * F, SIMI * Cur, int i) |
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141 | { |
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142 | while (i--) { |
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143 | Cur->c_x = Gauss_Rand(0.0, .8, 4.0); |
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144 | Cur->c_y = Gauss_Rand(0.0, .8, 4.0); |
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145 | Cur->r = Gauss_Rand(F->r_mean, F->dr_mean, 3.0); |
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146 | Cur->r2 = Half_Gauss_Rand(0.0, F->dr2_mean, 2.0); |
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147 | Cur->A = Gauss_Rand(0.0, 360.0, 4.0) * (M_PI / 180.0); |
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148 | Cur->A2 = Gauss_Rand(0.0, 360.0, 4.0) * (M_PI / 180.0); |
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149 | Cur++; |
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150 | } |
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151 | } |
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152 | |
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153 | static void |
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154 | free_ifs_buffers(FRACTAL *Fractal) |
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155 | { |
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156 | if (Fractal->Buffer1 != NULL) { |
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157 | (void) free((void *) Fractal->Buffer1); |
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158 | Fractal->Buffer1 = (XPoint *) NULL; |
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159 | } |
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160 | if (Fractal->Buffer2 != NULL) { |
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161 | (void) free((void *) Fractal->Buffer2); |
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162 | Fractal->Buffer2 = (XPoint *) NULL; |
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163 | } |
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164 | } |
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165 | |
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166 | |
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167 | static void |
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168 | free_ifs(Display *display, FRACTAL *Fractal) |
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169 | { |
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170 | free_ifs_buffers(Fractal); |
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171 | if (Fractal->dbuf != None) { |
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172 | XFreePixmap(display, Fractal->dbuf); |
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173 | Fractal->dbuf = None; |
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174 | } |
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175 | if (Fractal->dbuf_gc != None) { |
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176 | XFreeGC(display, Fractal->dbuf_gc); |
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177 | Fractal->dbuf_gc = None; |
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178 | } |
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179 | } |
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180 | |
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181 | /***************************************************************/ |
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182 | |
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183 | void |
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184 | init_ifs(ModeInfo * mi) |
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185 | { |
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186 | Display *display = MI_DISPLAY(mi); |
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187 | Window window = MI_WINDOW(mi); |
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188 | GC gc = MI_GC(mi); |
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189 | int i; |
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190 | FRACTAL *Fractal; |
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191 | |
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192 | if (Root == NULL) { |
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193 | Root = (FRACTAL *) calloc( |
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194 | MI_NUM_SCREENS(mi), sizeof (FRACTAL)); |
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195 | if (Root == NULL) |
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196 | return; |
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197 | } |
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198 | Fractal = &Root[MI_SCREEN(mi)]; |
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199 | |
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200 | free_ifs_buffers(Fractal); |
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201 | i = (NRAND(4)) + 2; /* Number of centers */ |
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202 | switch (i) { |
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203 | case 3: |
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204 | Fractal->Depth = MAX_DEPTH_3; |
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205 | Fractal->r_mean = .6; |
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206 | Fractal->dr_mean = .4; |
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207 | Fractal->dr2_mean = .3; |
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208 | break; |
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209 | |
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210 | case 4: |
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211 | Fractal->Depth = MAX_DEPTH_4; |
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212 | Fractal->r_mean = .5; |
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213 | Fractal->dr_mean = .4; |
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214 | Fractal->dr2_mean = .3; |
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215 | break; |
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216 | |
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217 | case 5: |
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218 | Fractal->Depth = MAX_DEPTH_5; |
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219 | Fractal->r_mean = .5; |
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220 | Fractal->dr_mean = .4; |
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221 | Fractal->dr2_mean = .3; |
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222 | break; |
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223 | |
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224 | default: |
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225 | case 2: |
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226 | Fractal->Depth = MAX_DEPTH_2; |
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227 | Fractal->r_mean = .7; |
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228 | Fractal->dr_mean = .3; |
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229 | Fractal->dr2_mean = .4; |
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230 | break; |
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231 | } |
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232 | /* (void) fprintf( stderr, "N=%d\n", i ); */ |
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233 | Fractal->Nb_Simi = i; |
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234 | Fractal->Max_Pt = Fractal->Nb_Simi - 1; |
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235 | for (i = 0; i <= Fractal->Depth + 2; ++i) |
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236 | Fractal->Max_Pt *= Fractal->Nb_Simi; |
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237 | |
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238 | if ((Fractal->Buffer1 = (XPoint *) calloc(Fractal->Max_Pt, |
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239 | sizeof (XPoint))) == NULL) { |
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240 | free_ifs(display, Fractal); |
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241 | return; |
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242 | } |
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243 | if ((Fractal->Buffer2 = (XPoint *) calloc(Fractal->Max_Pt, |
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244 | sizeof (XPoint))) == NULL) { |
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245 | free_ifs(display, Fractal); |
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246 | return; |
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247 | } |
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248 | Fractal->Speed = 6; |
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249 | Fractal->Width = MI_WIDTH(mi); |
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250 | Fractal->Height = MI_HEIGHT(mi); |
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251 | Fractal->Cur_Pt = 0; |
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252 | Fractal->Count = 0; |
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253 | Fractal->Lx = (Fractal->Width - 1) / 2; |
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254 | Fractal->Ly = (Fractal->Height - 1) / 2; |
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255 | Fractal->Col = NRAND(MI_NPIXELS(mi) - 1) + 1; |
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256 | |
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257 | Random_Simis(Fractal, Fractal->Components, 5 * MAX_SIMI); |
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258 | |
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259 | #ifndef NO_DBUF |
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260 | if (Fractal->dbuf != None) |
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261 | XFreePixmap(display, Fractal->dbuf); |
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262 | Fractal->dbuf = XCreatePixmap(display, window, |
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263 | Fractal->Width, Fractal->Height, 1); |
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264 | /* Allocation checked */ |
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265 | if (Fractal->dbuf != None) { |
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266 | XGCValues gcv; |
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267 | |
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268 | gcv.foreground = 0; |
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269 | gcv.background = 0; |
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270 | gcv.graphics_exposures = False; |
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271 | gcv.function = GXcopy; |
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272 | |
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273 | if (Fractal->dbuf_gc != None) |
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274 | XFreeGC(display, Fractal->dbuf_gc); |
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275 | if ((Fractal->dbuf_gc = XCreateGC(display, Fractal->dbuf, |
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276 | GCForeground | GCBackground | GCGraphicsExposures | GCFunction, |
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277 | &gcv)) == None) { |
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278 | XFreePixmap(display, Fractal->dbuf); |
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279 | Fractal->dbuf = None; |
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280 | } else { |
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281 | XFillRectangle(display, Fractal->dbuf, |
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282 | Fractal->dbuf_gc, 0, 0, Fractal->Width, Fractal->Height); |
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283 | XSetBackground(display, gc, MI_BLACK_PIXEL(mi)); |
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284 | XSetFunction(display, gc, GXcopy); |
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285 | } |
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286 | } |
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287 | #endif |
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288 | MI_CLEARWINDOW(mi); |
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289 | |
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290 | /* don't want any exposure events from XCopyPlane */ |
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291 | XSetGraphicsExposures(display, gc, False); |
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292 | |
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293 | } |
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294 | |
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295 | |
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296 | /***************************************************************/ |
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297 | |
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298 | /* Should be taken care of already... but just in case */ |
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299 | #if !defined( __GNUC__ ) && !defined(__cplusplus) && !defined(c_plusplus) |
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300 | #undef inline |
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301 | #define inline /* */ |
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302 | #endif |
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303 | static inline void |
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304 | Transform(SIMI * Simi, F_PT xo, F_PT yo, F_PT * x, F_PT * y) |
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305 | { |
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306 | F_PT xx, yy; |
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307 | |
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308 | xo = xo - Simi->Cx; |
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309 | xo = (xo * Simi->R) / UNIT; |
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310 | yo = yo - Simi->Cy; |
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311 | yo = (yo * Simi->R) / UNIT; |
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312 | |
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313 | xx = xo - Simi->Cx; |
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314 | xx = (xx * Simi->R2) / UNIT; |
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315 | yy = -yo - Simi->Cy; |
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316 | yy = (yy * Simi->R2) / UNIT; |
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317 | |
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318 | *x = ((xo * Simi->Ct - yo * Simi->St + xx * Simi->Ct2 - yy * Simi->St2) / UNIT) + Simi->Cx; |
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319 | *y = ((xo * Simi->St + yo * Simi->Ct + xx * Simi->St2 + yy * Simi->Ct2) / UNIT) + Simi->Cy; |
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320 | } |
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321 | |
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322 | /***************************************************************/ |
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323 | |
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324 | static void |
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325 | Trace(FRACTAL * F, F_PT xo, F_PT yo) |
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326 | { |
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327 | F_PT x, y, i; |
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328 | SIMI *Cur; |
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329 | |
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330 | Cur = Cur_F->Components; |
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331 | for (i = Cur_F->Nb_Simi; i; --i, Cur++) { |
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332 | Transform(Cur, xo, yo, &x, &y); |
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333 | /* Buf->x = F->Lx + (x * F->Lx / (UNIT * 2)); */ |
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334 | /* Buf->y = F->Ly - (y * F->Ly / (UNIT * 2)); */ |
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335 | Buf->x = (UNIT * 2 + x) * F->Lx / (UNIT * 2); |
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336 | Buf->y = (UNIT * 2 - y) * F->Ly / (UNIT * 2); |
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337 | Buf++; |
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338 | Cur_Pt++; |
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339 | |
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340 | if (F->Depth && ((x - xo) >> 4) && ((y - yo) >> 4)) { |
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341 | F->Depth--; |
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342 | Trace(F, x, y); |
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343 | F->Depth++; |
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344 | } |
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345 | } |
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346 | } |
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347 | |
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348 | static void |
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349 | Draw_Fractal(ModeInfo * mi) |
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350 | { |
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351 | Display *display = MI_DISPLAY(mi); |
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352 | Window window = MI_WINDOW(mi); |
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353 | GC gc = MI_GC(mi); |
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354 | FRACTAL *F = &Root[MI_SCREEN(mi)]; |
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355 | int i, j; |
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356 | F_PT x, y, xo, yo; |
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357 | SIMI *Cur, *Simi; |
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358 | |
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359 | for (Cur = F->Components, i = F->Nb_Simi; i; --i, Cur++) { |
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360 | Cur->Cx = DBL_To_F_PT(Cur->c_x); |
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361 | Cur->Cy = DBL_To_F_PT(Cur->c_y); |
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362 | |
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363 | Cur->Ct = DBL_To_F_PT(cos(Cur->A)); |
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364 | Cur->St = DBL_To_F_PT(sin(Cur->A)); |
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365 | Cur->Ct2 = DBL_To_F_PT(cos(Cur->A2)); |
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366 | Cur->St2 = DBL_To_F_PT(sin(Cur->A2)); |
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367 | |
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368 | Cur->R = DBL_To_F_PT(Cur->r); |
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369 | Cur->R2 = DBL_To_F_PT(Cur->r2); |
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370 | } |
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371 | |
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372 | |
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373 | Cur_Pt = 0; |
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374 | Cur_F = F; |
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375 | Buf = F->Buffer2; |
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376 | for (Cur = F->Components, i = F->Nb_Simi; i; --i, Cur++) { |
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377 | xo = Cur->Cx; |
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378 | yo = Cur->Cy; |
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379 | for (Simi = F->Components, j = F->Nb_Simi; j; --j, Simi++) { |
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380 | if (Simi == Cur) |
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381 | continue; |
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382 | Transform(Simi, xo, yo, &x, &y); |
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383 | Trace(F, x, y); |
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384 | } |
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385 | } |
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386 | |
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387 | /* Erase previous */ |
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388 | if (F->Cur_Pt) { |
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389 | XSetForeground(display, gc, MI_BLACK_PIXEL(mi)); |
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390 | if (F->dbuf != None) { |
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391 | XSetForeground(display, F->dbuf_gc, 0); |
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392 | /* XDrawPoints(display, F->dbuf, F->dbuf_gc, F->Buffer1, F->Cur_Pt, |
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393 | CoordModeOrigin); */ |
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394 | XFillRectangle(display, F->dbuf, F->dbuf_gc, 0, 0, |
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395 | F->Width, F->Height); |
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396 | } else |
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397 | XDrawPoints(display, window, gc, F->Buffer1, F->Cur_Pt, CoordModeOrigin); |
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398 | } |
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399 | if (MI_NPIXELS(mi) < 2) |
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400 | XSetForeground(display, gc, MI_WHITE_PIXEL(mi)); |
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401 | else |
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402 | XSetForeground(display, gc, MI_PIXEL(mi, F->Col % MI_NPIXELS(mi))); |
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403 | if (Cur_Pt) { |
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404 | if (F->dbuf != None) { |
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405 | XSetForeground(display, F->dbuf_gc, 1); |
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406 | XDrawPoints(display, F->dbuf, F->dbuf_gc, F->Buffer2, Cur_Pt, |
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407 | CoordModeOrigin); |
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408 | } else |
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409 | XDrawPoints(display, window, gc, F->Buffer2, Cur_Pt, CoordModeOrigin); |
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410 | } |
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411 | if (F->dbuf != None) |
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412 | XCopyPlane(display, F->dbuf, window, gc, 0, 0, F->Width, F->Height, 0, 0, 1); |
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413 | |
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414 | F->Cur_Pt = Cur_Pt; |
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415 | Buf = F->Buffer1; |
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416 | F->Buffer1 = F->Buffer2; |
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417 | F->Buffer2 = Buf; |
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418 | } |
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419 | |
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420 | |
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421 | void |
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422 | draw_ifs(ModeInfo * mi) |
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423 | { |
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424 | int i; |
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425 | DBL u, uu, v, vv, u0, u1, u2, u3; |
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426 | SIMI *S, *S1, *S2, *S3, *S4; |
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427 | FRACTAL *F; |
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428 | |
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429 | if (Root == NULL) |
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430 | return; |
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431 | F = &Root[MI_SCREEN(mi)]; |
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432 | if (F->Buffer1 == NULL) |
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433 | return; |
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434 | |
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435 | u = (DBL) (F->Count) * (DBL) (F->Speed) / 1000.0; |
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436 | uu = u * u; |
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437 | v = 1.0 - u; |
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438 | vv = v * v; |
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439 | u0 = vv * v; |
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440 | u1 = 3.0 * vv * u; |
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441 | u2 = 3.0 * v * uu; |
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442 | u3 = u * uu; |
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443 | |
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444 | S = F->Components; |
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445 | S1 = S + F->Nb_Simi; |
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446 | S2 = S1 + F->Nb_Simi; |
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447 | S3 = S2 + F->Nb_Simi; |
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448 | S4 = S3 + F->Nb_Simi; |
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449 | |
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450 | for (i = F->Nb_Simi; i; --i, S++, S1++, S2++, S3++, S4++) { |
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451 | S->c_x = u0 * S1->c_x + u1 * S2->c_x + u2 * S3->c_x + u3 * S4->c_x; |
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452 | S->c_y = u0 * S1->c_y + u1 * S2->c_y + u2 * S3->c_y + u3 * S4->c_y; |
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453 | S->r = u0 * S1->r + u1 * S2->r + u2 * S3->r + u3 * S4->r; |
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454 | S->r2 = u0 * S1->r2 + u1 * S2->r2 + u2 * S3->r2 + u3 * S4->r2; |
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455 | S->A = u0 * S1->A + u1 * S2->A + u2 * S3->A + u3 * S4->A; |
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456 | S->A2 = u0 * S1->A2 + u1 * S2->A2 + u2 * S3->A2 + u3 * S4->A2; |
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457 | } |
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458 | |
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459 | MI_IS_DRAWN(mi) = True; |
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460 | |
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461 | Draw_Fractal(mi); |
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462 | |
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463 | if (F->Count >= 1000 / F->Speed) { |
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464 | S = F->Components; |
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465 | S1 = S + F->Nb_Simi; |
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466 | S2 = S1 + F->Nb_Simi; |
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467 | S3 = S2 + F->Nb_Simi; |
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468 | S4 = S3 + F->Nb_Simi; |
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469 | |
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470 | for (i = F->Nb_Simi; i; --i, S++, S1++, S2++, S3++, S4++) { |
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471 | S2->c_x = 2.0 * S4->c_x - S3->c_x; |
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472 | S2->c_y = 2.0 * S4->c_y - S3->c_y; |
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473 | S2->r = 2.0 * S4->r - S3->r; |
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474 | S2->r2 = 2.0 * S4->r2 - S3->r2; |
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475 | S2->A = 2.0 * S4->A - S3->A; |
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476 | S2->A2 = 2.0 * S4->A2 - S3->A2; |
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477 | |
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478 | *S1 = *S4; |
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479 | } |
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480 | Random_Simis(F, F->Components + 3 * F->Nb_Simi, F->Nb_Simi); |
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481 | |
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482 | Random_Simis(F, F->Components + 4 * F->Nb_Simi, F->Nb_Simi); |
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483 | |
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484 | F->Count = 0; |
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485 | } else |
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486 | F->Count++; |
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487 | |
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488 | F->Col++; |
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489 | } |
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490 | |
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491 | |
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492 | /***************************************************************/ |
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493 | |
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494 | void |
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495 | release_ifs(ModeInfo * mi) |
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496 | { |
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497 | if (Root != NULL) { |
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498 | int screen; |
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499 | |
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500 | for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++) |
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501 | free_ifs(MI_DISPLAY(mi), &Root[screen]); |
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502 | (void) free((void *) Root); |
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503 | Root = (FRACTAL *) NULL; |
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504 | } |
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505 | } |
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506 | |
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507 | #endif /* MODE_ifs */ |
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