Fractals
This page has been automatically translated using the Google Translate API services. We are working on improving texts. Thank you for your understanding and patience.
In this application we create an procedural image by calculating the color of each pixel using fractal algorithms (Figure 1). Some of the most fascinating results produced by a dynamic system occur when we iterate a complex variable function instead of a real one. This is the case of Julia's sets. The source code is in folder /src/demo/fractals
of the SDK distribution.
Due to the large computational load of this algorithm we have divided the calculation into several threads (Figure 3). This problem is easily parallelizable simply by fractioning the image, because each pixel is obtained independently.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 |
/* Multi-threaded fractals */ #include <nappgui.h> typedef struct _app_t App; typedef struct _thdata_t ThData; struct _app_t { Window *window; ImageView *view; Label *time_label; Clock *clock; uint32_t threads; bool_t vertical; real64_t fct; }; struct _thdata_t { real64_t fct; real64_t kreal; real64_t kimag; Pixbuf *pixbuf; uint32_t i; uint32_t j; uint32_t width; uint32_t height; }; static const real64_t i_FCT = 2.85; static const uint32_t i_ITERATIONS = 512; static const uint32_t i_WIDTH = 601; static const uint32_t i_HEIGHT = 601; /*---------------------------------------------------------------------------*/ static uint32_t i_inset(real64_t zreal, real64_t zimag, real64_t creal, real64_t cimag) { uint32_t i; for (i = 0; i < i_ITERATIONS; ++i) { real64_t ztmp, zdist; ztmp = zreal * zreal - zimag * zimag; zimag = zreal * zimag + zreal * zimag; zreal = ztmp; zreal = zreal + creal; zimag = zimag + cimag; zdist = zimag * zimag + zreal * zreal; if (zdist > 3) return i; } return 0; } /*---------------------------------------------------------------------------*/ static uint32_t i_julia_thread(ThData *data) { real64_t fct = data->fct; uint32_t imgwidth = pixbuf_width(data->pixbuf); real64_t freal = fct / imgwidth; real64_t fimag = fct / pixbuf_height(data->pixbuf); real64_t kreal = data->kreal; real64_t kimag = data->kimag; uint32_t val; real64_t creal, cimag; uint32_t stj = data->j; uint32_t edj = data->j + data->height; uint32_t sti = data->i; uint32_t edi = data->i + data->width; uint32_t i, j; for (j = stj; j < edj; ++j) { cimag = fimag * j - (fct / 2); for (i = sti; i < edi; ++i) { creal = freal * i - (fct / 2); val = i_inset(creal, cimag, kreal, kimag); if (val > 0) { uint8_t n_val = (uint8_t)(val % 255); if (val < (i_ITERATIONS >> 1)) val = color_rgb((uint8_t)(n_val << 2), (uint8_t)(n_val << 3), (uint8_t)(n_val << 4)); else val = color_rgb((uint8_t)(n_val << 4), (uint8_t)(n_val << 2), (uint8_t)(n_val << 5)); } else { val = kCOLOR_BLACK; } pixbuf_set(data->pixbuf, i, j, val); } } return 5; } /*---------------------------------------------------------------------------*/ static void i_julia(const uint32_t nthreads, const bool_t vertical, const real64_t fct, const real64_t kreal, const real64_t kimag, Pixbuf *pixbuf) { ThData data[8]; uint32_t width = pixbuf_width(pixbuf); uint32_t height = pixbuf_height(pixbuf); data[0].fct = fct; data[0].kreal = kreal; data[0].kimag = kimag; data[0].pixbuf = pixbuf; if (nthreads == 1) { data[0].i = 0; data[0].j = 0; data[0].width = width; data[0].height = height; i_julia_thread(&data[0]); } else { Thread *thread[8]; uint32_t i; if (vertical == TRUE) { uint32_t twidth = width / nthreads; for (i = 0; i < nthreads; ++i) { data[i] = data[0]; data[i].i = i * twidth; data[i].j = 0; data[i].width = twidth; data[i].height = height; } data[nthreads - 1].width += (width - (twidth * nthreads)); } else { uint32_t theight = height / nthreads; for (i = 0; i < nthreads; ++i) { data[i] = data[0]; data[i].i = 0; data[i].j = i * theight; data[i].width = width; data[i].height = theight; } data[nthreads - 1].height += (height - (theight * nthreads)); } for (i = 0; i < nthreads; ++i) thread[i] = bthread_create(i_julia_thread, &data[i], ThData); for (i = 0; i < nthreads; ++i) { uint32_t thid = bthread_wait(thread[i]); cassert_unref(thid == 5, thid); bthread_close(&thread[i]); } } } /*---------------------------------------------------------------------------*/ static void i_image(App *app) { Pixbuf *pixbuf = pixbuf_create(i_WIDTH, i_HEIGHT, ekRGBA32); real64_t rfactor = app->fct / i_WIDTH; real64_t ifactor = app->fct / i_HEIGHT; real64_t kreal = rfactor * 307 - 2; real64_t kimag = ifactor * 184 - 1.4; Image *image = NULL; real64_t timems; String *str; clock_reset(app->clock); i_julia(app->threads, app->vertical, app->fct, kreal, kimag, pixbuf); timems = 1000. * clock_elapsed(app->clock); str = str_printf("%.3f milliseconds", timems); label_text(app->time_label, tc(str)); str_destroy(&str); image = image_from_pixbuf(pixbuf, NULL); imageview_image(app->view, image); image_destroy(&image); pixbuf_destroy(&pixbuf); } /*---------------------------------------------------------------------------*/ static void i_OnSlider(App *app, Event *e) { const EvSlider *p = event_params(e, EvSlider); real64_t st = i_FCT - 1; real64_t ed = i_FCT + 1; app->fct = ((ed - st) * p->pos) + st; i_image(app); } /*---------------------------------------------------------------------------*/ static void i_OnThreads(App *app, Event *e) { const EvButton *p = event_params(e, EvButton); switch (p->index) { case 0: app->threads = 1; break; case 1: app->threads = 2; break; case 2: app->threads = 3; break; case 3: app->threads = 4; break; case 4: app->threads = 8; break; } i_image(app); } /*---------------------------------------------------------------------------*/ static void i_OnVertical(App *app, Event *e) { const EvButton *p = event_params(e, EvButton); app->vertical = p->index == 0 ? TRUE : FALSE; i_image(app); } /*---------------------------------------------------------------------------*/ static Panel *i_panel(App *app) { Panel *panel = panel_create(); Layout *layout1 = layout_create(1, 3); Layout *layout2 = layout_create(5, 1); Label *label1 = label_create(); Label *label2 = label_create(); PopUp *popup = popup_create(); Slider *slider = slider_create(); Button *button1 = button_radio(); Button *button2 = button_radio(); ImageView *view = imageview_create(); label_text(label1, "Threads:"); popup_add_elem(popup, "1", NULL); popup_add_elem(popup, "2", NULL); popup_add_elem(popup, "3", NULL); popup_add_elem(popup, "4", NULL); popup_add_elem(popup, "8", NULL); popup_selected(popup, 0); popup_OnSelect(popup, listener(app, i_OnThreads, App)); slider_value(slider, .5f); slider_OnMoved(slider, listener(app, i_OnSlider, App)); button_text(button1, "Vert"); button_text(button2, "Hotz"); button_state(button1, ekGUI_ON); button_OnClick(button1, listener(app, i_OnVertical, App)); imageview_size(view, s2di(i_WIDTH, i_HEIGHT)); layout_slider(layout1, slider, 0, 0); layout_label(layout2, label1, 0, 0); layout_popup(layout2, popup, 1, 0); layout_button(layout2, button1, 2, 0); layout_button(layout2, button2, 3, 0); layout_label(layout2, label2, 4, 0); layout_halign(layout2, 4, 0, ekJUSTIFY); layout_hexpand(layout2, 4); layout_layout(layout1, layout2, 0, 1); layout_imageview(layout1, view, 0, 2); layout_vmargin(layout1, 1, 5); layout_margin2(layout2, 0, 5); layout_hmargin(layout2, 0, 5); layout_hmargin(layout2, 1, 10); layout_hmargin(layout2, 2, 5); layout_hmargin(layout2, 3, 15); panel_layout(panel, layout1); app->fct = i_FCT; app->threads = 1; app->vertical = TRUE; app->view = view; app->time_label = label2; return panel; } /*---------------------------------------------------------------------------*/ static void i_OnClose(App *app, Event *e) { osapp_finish(); unref(app); unref(e); } /*---------------------------------------------------------------------------*/ static App *i_create(void) { App *app = heap_new0(App); Panel *panel = i_panel(app); app->window = window_create(ekWINDOW_STD); app->clock = clock_create(0); i_image(app); window_panel(app->window, panel); window_title(app->window, "Fractals"); window_origin(app->window, v2df(500, 200)); window_OnClose(app->window, listener(app, i_OnClose, App)); window_show(app->window); return app; } /*---------------------------------------------------------------------------*/ static void i_destroy(App **app) { window_destroy(&(*app)->window); clock_destroy(&(*app)->clock); heap_delete(app, App); } /*---------------------------------------------------------------------------*/ #include <osapp/osmain.h> osmain(i_create, i_destroy, "", App) |