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conic.c 5.5 KiB

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  1. /*
  2. * libcucul Unicode canvas library
  3. * Copyright (c) 2002-2006 Sam Hocevar <sam@zoy.org>
  4. * All Rights Reserved
  5. *
  6. * This library is free software; you can redistribute it and/or
  7. * modify it under the terms of the Do What The Fuck You Want To
  8. * Public License, Version 2, as published by Sam Hocevar. See
  9. * http://sam.zoy.org/wtfpl/COPYING for more details.
  10. */
  11. /** \file conic.c
  12. * \version \$Id$
  13. * \author Sam Hocevar <sam@zoy.org>
  14. * \brief Ellipse and circle drawing
  15. *
  16. * This file contains ellipse and circle drawing functions, both filled
  17. * and outline.
  18. */
  19. #include "config.h"
  20. #if !defined(__KERNEL__)
  21. # include <stdlib.h>
  22. #endif
  23. #include "cucul.h"
  24. #include "cucul_internals.h"
  25. static void ellipsepoints(cucul_t *, int, int, int, int, char);
  26. /**
  27. * \brief Draw a circle on the screen using the given character.
  28. *
  29. * \param x Center X coordinate.
  30. * \param y Center Y coordinate.
  31. * \param r Circle radius.
  32. * \param c Character to draw the circle outline with.
  33. * \return void
  34. */
  35. void cucul_draw_circle(cucul_t *qq, int x, int y, int r, char c)
  36. {
  37. int test, dx, dy;
  38. /* Optimized Bresenham. Kick ass. */
  39. for(test = 0, dx = 0, dy = r ; dx <= dy ; dx++)
  40. {
  41. ellipsepoints(qq, x, y, dx, dy, c);
  42. ellipsepoints(qq, x, y, dy, dx, c);
  43. test += test > 0 ? dx - dy-- : dx;
  44. }
  45. }
  46. /**
  47. * \brief Fill an ellipse on the screen using the given character.
  48. *
  49. * \param xo Center X coordinate.
  50. * \param yo Center Y coordinate.
  51. * \param a Ellipse X radius.
  52. * \param b Ellipse Y radius.
  53. * \param c Character to fill the ellipse with.
  54. * \return void
  55. */
  56. void cucul_fill_ellipse(cucul_t *qq, int xo, int yo, int a, int b, char c)
  57. {
  58. int d2;
  59. int x = 0;
  60. int y = b;
  61. int d1 = b*b - (a*a*b) + (a*a/4);
  62. while(a*a*y - a*a/2 > b*b*(x+1))
  63. {
  64. if(d1 < 0)
  65. {
  66. d1 += b*b*(2*x+1); /* XXX: "Computer Graphics" has + 3 here. */
  67. }
  68. else
  69. {
  70. d1 += b*b*(2*x*1) + a*a*(-2*y+2);
  71. cucul_draw_line(qq, xo - x, yo - y, xo + x, yo - y, c);
  72. cucul_draw_line(qq, xo - x, yo + y, xo + x, yo + y, c);
  73. y--;
  74. }
  75. x++;
  76. }
  77. cucul_draw_line(qq, xo - x, yo - y, xo + x, yo - y, c);
  78. cucul_draw_line(qq, xo - x, yo + y, xo + x, yo + y, c);
  79. d2 = b*b*(x+0.5)*(x+0.5) + a*a*(y-1)*(y-1) - a*a*b*b;
  80. while(y > 0)
  81. {
  82. if(d2 < 0)
  83. {
  84. d2 += b*b*(2*x+2) + a*a*(-2*y+3);
  85. x++;
  86. }
  87. else
  88. {
  89. d2 += a*a*(-2*y+3);
  90. }
  91. y--;
  92. cucul_draw_line(qq, xo - x, yo - y, xo + x, yo - y, c);
  93. cucul_draw_line(qq, xo - x, yo + y, xo + x, yo + y, c);
  94. }
  95. }
  96. /**
  97. * \brief Draw an ellipse on the screen using the given character.
  98. *
  99. * \param xo Center X coordinate.
  100. * \param yo Center Y coordinate.
  101. * \param a Ellipse X radius.
  102. * \param b Ellipse Y radius.
  103. * \param c Character to draw the ellipse outline with.
  104. * \return void
  105. */
  106. void cucul_draw_ellipse(cucul_t *qq, int xo, int yo, int a, int b, char c)
  107. {
  108. int d2;
  109. int x = 0;
  110. int y = b;
  111. int d1 = b*b - (a*a*b) + (a*a/4);
  112. ellipsepoints(qq, xo, yo, x, y, c);
  113. while(a*a*y - a*a/2 > b*b*(x+1))
  114. {
  115. if(d1 < 0)
  116. {
  117. d1 += b*b*(2*x+1); /* XXX: "Computer Graphics" has + 3 here. */
  118. }
  119. else
  120. {
  121. d1 += b*b*(2*x*1) + a*a*(-2*y+2);
  122. y--;
  123. }
  124. x++;
  125. ellipsepoints(qq, xo, yo, x, y, c);
  126. }
  127. d2 = b*b*(x+0.5)*(x+0.5) + a*a*(y-1)*(y-1) - a*a*b*b;
  128. while(y > 0)
  129. {
  130. if(d2 < 0)
  131. {
  132. d2 += b*b*(2*x+2) + a*a*(-2*y+3);
  133. x++;
  134. }
  135. else
  136. {
  137. d2 += a*a*(-2*y+3);
  138. }
  139. y--;
  140. ellipsepoints(qq, xo, yo, x, y, c);
  141. }
  142. }
  143. /**
  144. * \brief Draw a thin ellipse on the screen.
  145. *
  146. * \param xo Center X coordinate.
  147. * \param yo Center Y coordinate.
  148. * \param a Ellipse X radius.
  149. * \param b Ellipse Y radius.
  150. * \return void
  151. */
  152. void cucul_draw_thin_ellipse(cucul_t *qq, int xo, int yo, int a, int b)
  153. {
  154. /* FIXME: this is not correct */
  155. int d2;
  156. int x = 0;
  157. int y = b;
  158. int d1 = b*b - (a*a*b) + (a*a/4);
  159. ellipsepoints(qq, xo, yo, x, y, '-');
  160. while(a*a*y - a*a/2 > b*b*(x+1))
  161. {
  162. if(d1 < 0)
  163. {
  164. d1 += b*b*(2*x+1); /* XXX: "Computer Graphics" has + 3 here. */
  165. }
  166. else
  167. {
  168. d1 += b*b*(2*x*1) + a*a*(-2*y+2);
  169. y--;
  170. }
  171. x++;
  172. ellipsepoints(qq, xo, yo, x, y, '-');
  173. }
  174. d2 = b*b*(x+0.5)*(x+0.5) + a*a*(y-1)*(y-1) - a*a*b*b;
  175. while(y > 0)
  176. {
  177. if(d2 < 0)
  178. {
  179. d2 += b*b*(2*x+2) + a*a*(-2*y+3);
  180. x++;
  181. }
  182. else
  183. {
  184. d2 += a*a*(-2*y+3);
  185. }
  186. y--;
  187. ellipsepoints(qq, xo, yo, x, y, '|');
  188. }
  189. }
  190. static void ellipsepoints(cucul_t *qq, int xo, int yo, int x, int y, char c)
  191. {
  192. uint8_t b = 0;
  193. if(xo + x >= 0 && xo + x < (int)qq->width)
  194. b |= 0x1;
  195. if(xo - x >= 0 && xo - x < (int)qq->width)
  196. b |= 0x2;
  197. if(yo + y >= 0 && yo + y < (int)qq->height)
  198. b |= 0x4;
  199. if(yo - y >= 0 && yo - y < (int)qq->height)
  200. b |= 0x8;
  201. if((b & (0x1|0x4)) == (0x1|0x4))
  202. cucul_putchar(qq, xo + x, yo + y, c);
  203. if((b & (0x2|0x4)) == (0x2|0x4))
  204. cucul_putchar(qq, xo - x, yo + y, c);
  205. if((b & (0x1|0x8)) == (0x1|0x8))
  206. cucul_putchar(qq, xo + x, yo - y, c);
  207. if((b & (0x2|0x8)) == (0x2|0x8))
  208. cucul_putchar(qq, xo - x, yo - y, c);
  209. }