| 1 | /* |
| 2 | |
| 3 | u8g2_circle.c |
| 4 | |
| 5 | Universal 8bit Graphics Library (https://github.com/olikraus/u8g2/) |
| 6 | |
| 7 | Copyright (c) 2016, olikraus@gmail.com |
| 8 | All rights reserved. |
| 9 | |
| 10 | Redistribution and use in source and binary forms, with or without modification, |
| 11 | are permitted provided that the following conditions are met: |
| 12 | |
| 13 | * Redistributions of source code must retain the above copyright notice, this list |
| 14 | of conditions and the following disclaimer. |
| 15 | |
| 16 | * Redistributions in binary form must reproduce the above copyright notice, this |
| 17 | list of conditions and the following disclaimer in the documentation and/or other |
| 18 | materials provided with the distribution. |
| 19 | |
| 20 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND |
| 21 | CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, |
| 22 | INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF |
| 23 | MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE |
| 24 | DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR |
| 25 | CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| 26 | SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
| 27 | NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| 28 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
| 29 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, |
| 30 | STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
| 31 | ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF |
| 32 | ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 33 | |
| 34 | */ |
| 35 | |
| 36 | #include "u8g2.h" |
| 37 | |
| 38 | /*==============================================*/ |
| 39 | /* Circle */ |
| 40 | |
| 41 | static void u8g2_draw_circle_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) U8G2_NOINLINE; |
| 42 | |
| 43 | static void u8g2_draw_circle_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) |
| 44 | { |
| 45 | /* upper right */ |
| 46 | if ( option & U8G2_DRAW_UPPER_RIGHT ) |
| 47 | { |
| 48 | u8g2_DrawPixel(u8g2, x0 + x, y0 - y); |
| 49 | u8g2_DrawPixel(u8g2, x0 + y, y0 - x); |
| 50 | } |
| 51 | |
| 52 | /* upper left */ |
| 53 | if ( option & U8G2_DRAW_UPPER_LEFT ) |
| 54 | { |
| 55 | u8g2_DrawPixel(u8g2, x0 - x, y0 - y); |
| 56 | u8g2_DrawPixel(u8g2, x0 - y, y0 - x); |
| 57 | } |
| 58 | |
| 59 | /* lower right */ |
| 60 | if ( option & U8G2_DRAW_LOWER_RIGHT ) |
| 61 | { |
| 62 | u8g2_DrawPixel(u8g2, x0 + x, y0 + y); |
| 63 | u8g2_DrawPixel(u8g2, x0 + y, y0 + x); |
| 64 | } |
| 65 | |
| 66 | /* lower left */ |
| 67 | if ( option & U8G2_DRAW_LOWER_LEFT ) |
| 68 | { |
| 69 | u8g2_DrawPixel(u8g2, x0 - x, y0 + y); |
| 70 | u8g2_DrawPixel(u8g2, x0 - y, y0 + x); |
| 71 | } |
| 72 | } |
| 73 | |
| 74 | static void u8g2_draw_circle(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rad, uint8_t option) |
| 75 | { |
| 76 | u8g2_int_t f; |
| 77 | u8g2_int_t ddF_x; |
| 78 | u8g2_int_t ddF_y; |
| 79 | u8g2_uint_t x; |
| 80 | u8g2_uint_t y; |
| 81 | |
| 82 | f = 1; |
| 83 | f -= rad; |
| 84 | ddF_x = 1; |
| 85 | ddF_y = 0; |
| 86 | ddF_y -= rad; |
| 87 | ddF_y *= 2; |
| 88 | x = 0; |
| 89 | y = rad; |
| 90 | |
| 91 | u8g2_draw_circle_section(u8g2, x, y, x0, y0, option); |
| 92 | |
| 93 | while ( x < y ) |
| 94 | { |
| 95 | if (f >= 0) |
| 96 | { |
| 97 | y--; |
| 98 | ddF_y += 2; |
| 99 | f += ddF_y; |
| 100 | } |
| 101 | x++; |
| 102 | ddF_x += 2; |
| 103 | f += ddF_x; |
| 104 | |
| 105 | u8g2_draw_circle_section(u8g2, x, y, x0, y0, option); |
| 106 | } |
| 107 | } |
| 108 | |
| 109 | void u8g2_DrawCircle(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rad, uint8_t option) |
| 110 | { |
| 111 | /* check for bounding box */ |
| 112 | #ifdef U8G2_WITH_INTERSECTION |
| 113 | { |
| 114 | if ( u8g2_IsIntersection(u8g2, x0-rad, y0-rad, x0+rad+1, y0+rad+1) == 0 ) |
| 115 | return; |
| 116 | } |
| 117 | #endif /* U8G2_WITH_INTERSECTION */ |
| 118 | |
| 119 | |
| 120 | /* draw circle */ |
| 121 | u8g2_draw_circle(u8g2, x0, y0, rad, option); |
| 122 | } |
| 123 | |
| 124 | /*==============================================*/ |
| 125 | /* Disk */ |
| 126 | |
| 127 | static void u8g2_draw_disc_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) U8G2_NOINLINE; |
| 128 | |
| 129 | static void u8g2_draw_disc_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) |
| 130 | { |
| 131 | /* upper right */ |
| 132 | if ( option & U8G2_DRAW_UPPER_RIGHT ) |
| 133 | { |
| 134 | u8g2_DrawVLine(u8g2, x0+x, y0-y, y+1); |
| 135 | u8g2_DrawVLine(u8g2, x0+y, y0-x, x+1); |
| 136 | } |
| 137 | |
| 138 | /* upper left */ |
| 139 | if ( option & U8G2_DRAW_UPPER_LEFT ) |
| 140 | { |
| 141 | u8g2_DrawVLine(u8g2, x0-x, y0-y, y+1); |
| 142 | u8g2_DrawVLine(u8g2, x0-y, y0-x, x+1); |
| 143 | } |
| 144 | |
| 145 | /* lower right */ |
| 146 | if ( option & U8G2_DRAW_LOWER_RIGHT ) |
| 147 | { |
| 148 | u8g2_DrawVLine(u8g2, x0+x, y0, y+1); |
| 149 | u8g2_DrawVLine(u8g2, x0+y, y0, x+1); |
| 150 | } |
| 151 | |
| 152 | /* lower left */ |
| 153 | if ( option & U8G2_DRAW_LOWER_LEFT ) |
| 154 | { |
| 155 | u8g2_DrawVLine(u8g2, x0-x, y0, y+1); |
| 156 | u8g2_DrawVLine(u8g2, x0-y, y0, x+1); |
| 157 | } |
| 158 | } |
| 159 | |
| 160 | static void u8g2_draw_disc(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rad, uint8_t option) |
| 161 | { |
| 162 | u8g2_int_t f; |
| 163 | u8g2_int_t ddF_x; |
| 164 | u8g2_int_t ddF_y; |
| 165 | u8g2_uint_t x; |
| 166 | u8g2_uint_t y; |
| 167 | |
| 168 | f = 1; |
| 169 | f -= rad; |
| 170 | ddF_x = 1; |
| 171 | ddF_y = 0; |
| 172 | ddF_y -= rad; |
| 173 | ddF_y *= 2; |
| 174 | x = 0; |
| 175 | y = rad; |
| 176 | |
| 177 | u8g2_draw_disc_section(u8g2, x, y, x0, y0, option); |
| 178 | |
| 179 | while ( x < y ) |
| 180 | { |
| 181 | if (f >= 0) |
| 182 | { |
| 183 | y--; |
| 184 | ddF_y += 2; |
| 185 | f += ddF_y; |
| 186 | } |
| 187 | x++; |
| 188 | ddF_x += 2; |
| 189 | f += ddF_x; |
| 190 | |
| 191 | u8g2_draw_disc_section(u8g2, x, y, x0, y0, option); |
| 192 | } |
| 193 | } |
| 194 | |
| 195 | void u8g2_DrawDisc(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rad, uint8_t option) |
| 196 | { |
| 197 | /* check for bounding box */ |
| 198 | #ifdef U8G2_WITH_INTERSECTION |
| 199 | { |
| 200 | if ( u8g2_IsIntersection(u8g2, x0-rad, y0-rad, x0+rad+1, y0+rad+1) == 0 ) |
| 201 | return; |
| 202 | } |
| 203 | #endif /* U8G2_WITH_INTERSECTION */ |
| 204 | |
| 205 | /* draw disc */ |
| 206 | u8g2_draw_disc(u8g2, x0, y0, rad, option); |
| 207 | } |
| 208 | |
| 209 | /*==============================================*/ |
| 210 | /* Ellipse */ |
| 211 | |
| 212 | /* |
| 213 | Source: |
| 214 | Foley, Computer Graphics, p 90 |
| 215 | */ |
| 216 | static void u8g2_draw_ellipse_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) U8G2_NOINLINE; |
| 217 | static void u8g2_draw_ellipse_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) |
| 218 | { |
| 219 | /* upper right */ |
| 220 | if ( option & U8G2_DRAW_UPPER_RIGHT ) |
| 221 | { |
| 222 | u8g2_DrawPixel(u8g2, x0 + x, y0 - y); |
| 223 | } |
| 224 | |
| 225 | /* upper left */ |
| 226 | if ( option & U8G2_DRAW_UPPER_LEFT ) |
| 227 | { |
| 228 | u8g2_DrawPixel(u8g2, x0 - x, y0 - y); |
| 229 | } |
| 230 | |
| 231 | /* lower right */ |
| 232 | if ( option & U8G2_DRAW_LOWER_RIGHT ) |
| 233 | { |
| 234 | u8g2_DrawPixel(u8g2, x0 + x, y0 + y); |
| 235 | } |
| 236 | |
| 237 | /* lower left */ |
| 238 | if ( option & U8G2_DRAW_LOWER_LEFT ) |
| 239 | { |
| 240 | u8g2_DrawPixel(u8g2, x0 - x, y0 + y); |
| 241 | } |
| 242 | } |
| 243 | |
| 244 | static void u8g2_draw_ellipse(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rx, u8g2_uint_t ry, uint8_t option) |
| 245 | { |
| 246 | u8g2_uint_t x, y; |
| 247 | u8g2_long_t xchg, ychg; |
| 248 | u8g2_long_t err; |
| 249 | u8g2_long_t rxrx2; |
| 250 | u8g2_long_t ryry2; |
| 251 | u8g2_long_t stopx, stopy; |
| 252 | |
| 253 | rxrx2 = rx; |
| 254 | rxrx2 *= rx; |
| 255 | rxrx2 *= 2; |
| 256 | |
| 257 | ryry2 = ry; |
| 258 | ryry2 *= ry; |
| 259 | ryry2 *= 2; |
| 260 | |
| 261 | x = rx; |
| 262 | y = 0; |
| 263 | |
| 264 | xchg = 1; |
| 265 | xchg -= rx; |
| 266 | xchg -= rx; |
| 267 | xchg *= ry; |
| 268 | xchg *= ry; |
| 269 | |
| 270 | ychg = rx; |
| 271 | ychg *= rx; |
| 272 | |
| 273 | err = 0; |
| 274 | |
| 275 | stopx = ryry2; |
| 276 | stopx *= rx; |
| 277 | stopy = 0; |
| 278 | |
| 279 | while( stopx >= stopy ) |
| 280 | { |
| 281 | u8g2_draw_ellipse_section(u8g2, x, y, x0, y0, option); |
| 282 | y++; |
| 283 | stopy += rxrx2; |
| 284 | err += ychg; |
| 285 | ychg += rxrx2; |
| 286 | if ( 2*err+xchg > 0 ) |
| 287 | { |
| 288 | x--; |
| 289 | stopx -= ryry2; |
| 290 | err += xchg; |
| 291 | xchg += ryry2; |
| 292 | } |
| 293 | } |
| 294 | |
| 295 | x = 0; |
| 296 | y = ry; |
| 297 | |
| 298 | xchg = ry; |
| 299 | xchg *= ry; |
| 300 | |
| 301 | ychg = 1; |
| 302 | ychg -= ry; |
| 303 | ychg -= ry; |
| 304 | ychg *= rx; |
| 305 | ychg *= rx; |
| 306 | |
| 307 | err = 0; |
| 308 | |
| 309 | stopx = 0; |
| 310 | |
| 311 | stopy = rxrx2; |
| 312 | stopy *= ry; |
| 313 | |
| 314 | |
| 315 | while( stopx <= stopy ) |
| 316 | { |
| 317 | u8g2_draw_ellipse_section(u8g2, x, y, x0, y0, option); |
| 318 | x++; |
| 319 | stopx += ryry2; |
| 320 | err += xchg; |
| 321 | xchg += ryry2; |
| 322 | if ( 2*err+ychg > 0 ) |
| 323 | { |
| 324 | y--; |
| 325 | stopy -= rxrx2; |
| 326 | err += ychg; |
| 327 | ychg += rxrx2; |
| 328 | } |
| 329 | } |
| 330 | |
| 331 | } |
| 332 | |
| 333 | void u8g2_DrawEllipse(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rx, u8g2_uint_t ry, uint8_t option) |
| 334 | { |
| 335 | /* check for bounding box */ |
| 336 | #ifdef U8G2_WITH_INTERSECTION |
| 337 | { |
| 338 | if ( u8g2_IsIntersection(u8g2, x0-rx, y0-ry, x0+rx+1, y0+ry+1) == 0 ) |
| 339 | return; |
| 340 | } |
| 341 | #endif /* U8G2_WITH_INTERSECTION */ |
| 342 | |
| 343 | u8g2_draw_ellipse(u8g2, x0, y0, rx, ry, option); |
| 344 | } |
| 345 | |
| 346 | /*==============================================*/ |
| 347 | /* Filled Ellipse */ |
| 348 | |
| 349 | static void u8g2_draw_filled_ellipse_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) U8G2_NOINLINE; |
| 350 | static void u8g2_draw_filled_ellipse_section(u8g2_t *u8g2, u8g2_uint_t x, u8g2_uint_t y, u8g2_uint_t x0, u8g2_uint_t y0, uint8_t option) |
| 351 | { |
| 352 | /* upper right */ |
| 353 | if ( option & U8G2_DRAW_UPPER_RIGHT ) |
| 354 | { |
| 355 | u8g2_DrawVLine(u8g2, x0+x, y0-y, y+1); |
| 356 | } |
| 357 | |
| 358 | /* upper left */ |
| 359 | if ( option & U8G2_DRAW_UPPER_LEFT ) |
| 360 | { |
| 361 | u8g2_DrawVLine(u8g2, x0-x, y0-y, y+1); |
| 362 | } |
| 363 | |
| 364 | /* lower right */ |
| 365 | if ( option & U8G2_DRAW_LOWER_RIGHT ) |
| 366 | { |
| 367 | u8g2_DrawVLine(u8g2, x0+x, y0, y+1); |
| 368 | } |
| 369 | |
| 370 | /* lower left */ |
| 371 | if ( option & U8G2_DRAW_LOWER_LEFT ) |
| 372 | { |
| 373 | u8g2_DrawVLine(u8g2, x0-x, y0, y+1); |
| 374 | } |
| 375 | } |
| 376 | |
| 377 | static void u8g2_draw_filled_ellipse(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rx, u8g2_uint_t ry, uint8_t option) |
| 378 | { |
| 379 | u8g2_uint_t x, y; |
| 380 | u8g2_long_t xchg, ychg; |
| 381 | u8g2_long_t err; |
| 382 | u8g2_long_t rxrx2; |
| 383 | u8g2_long_t ryry2; |
| 384 | u8g2_long_t stopx, stopy; |
| 385 | |
| 386 | rxrx2 = rx; |
| 387 | rxrx2 *= rx; |
| 388 | rxrx2 *= 2; |
| 389 | |
| 390 | ryry2 = ry; |
| 391 | ryry2 *= ry; |
| 392 | ryry2 *= 2; |
| 393 | |
| 394 | x = rx; |
| 395 | y = 0; |
| 396 | |
| 397 | xchg = 1; |
| 398 | xchg -= rx; |
| 399 | xchg -= rx; |
| 400 | xchg *= ry; |
| 401 | xchg *= ry; |
| 402 | |
| 403 | ychg = rx; |
| 404 | ychg *= rx; |
| 405 | |
| 406 | err = 0; |
| 407 | |
| 408 | stopx = ryry2; |
| 409 | stopx *= rx; |
| 410 | stopy = 0; |
| 411 | |
| 412 | while( stopx >= stopy ) |
| 413 | { |
| 414 | u8g2_draw_filled_ellipse_section(u8g2, x, y, x0, y0, option); |
| 415 | y++; |
| 416 | stopy += rxrx2; |
| 417 | err += ychg; |
| 418 | ychg += rxrx2; |
| 419 | if ( 2*err+xchg > 0 ) |
| 420 | { |
| 421 | x--; |
| 422 | stopx -= ryry2; |
| 423 | err += xchg; |
| 424 | xchg += ryry2; |
| 425 | } |
| 426 | } |
| 427 | |
| 428 | x = 0; |
| 429 | y = ry; |
| 430 | |
| 431 | xchg = ry; |
| 432 | xchg *= ry; |
| 433 | |
| 434 | ychg = 1; |
| 435 | ychg -= ry; |
| 436 | ychg -= ry; |
| 437 | ychg *= rx; |
| 438 | ychg *= rx; |
| 439 | |
| 440 | err = 0; |
| 441 | |
| 442 | stopx = 0; |
| 443 | |
| 444 | stopy = rxrx2; |
| 445 | stopy *= ry; |
| 446 | |
| 447 | |
| 448 | while( stopx <= stopy ) |
| 449 | { |
| 450 | u8g2_draw_filled_ellipse_section(u8g2, x, y, x0, y0, option); |
| 451 | x++; |
| 452 | stopx += ryry2; |
| 453 | err += xchg; |
| 454 | xchg += ryry2; |
| 455 | if ( 2*err+ychg > 0 ) |
| 456 | { |
| 457 | y--; |
| 458 | stopy -= rxrx2; |
| 459 | err += ychg; |
| 460 | ychg += rxrx2; |
| 461 | } |
| 462 | } |
| 463 | |
| 464 | } |
| 465 | |
| 466 | void u8g2_DrawFilledEllipse(u8g2_t *u8g2, u8g2_uint_t x0, u8g2_uint_t y0, u8g2_uint_t rx, u8g2_uint_t ry, uint8_t option) |
| 467 | { |
| 468 | /* check for bounding box */ |
| 469 | #ifdef U8G2_WITH_INTERSECTION |
| 470 | { |
| 471 | if ( u8g2_IsIntersection(u8g2, x0-rx, y0-ry, x0+rx+1, y0+ry+1) == 0 ) |
| 472 | return; |
| 473 | } |
| 474 | #endif /* U8G2_WITH_INTERSECTION */ |
| 475 | |
| 476 | u8g2_draw_filled_ellipse(u8g2, x0, y0, rx, ry, option); |
| 477 | } |
| 478 | |
| 479 | |