/* From http://members.chello.at/easyfilter/bresenham.html */ #include<assert.h> #include<stdio.h> void setPixel(int x, int y) { printf("%d %d\n", x, y); } void plotQuadBezierSeg(int x0, int y0, int x1, int y1, int x2, int y2) { int sx = x2-x1, sy = y2-y1; long xx = x0-x1, yy = y0-y1, xy=0; /* relative values for checks */ double dx, dy, err, cur = xx*sy-yy*sx; /* curvature */ assert(xx*sx <= 0 && yy*sy <= 0); /* sign of gradient must not change */ printf("A sx %d sy %d xx %ld yy %ld cur %g\n", sx, sy, xx, yy, cur); if (sx*(long)sx+sy*(long)sy > xx*xx+yy*yy) { /* begin with longer part */ printf("swap\n"); x2 = x0; x0 = sx+x1; y2 = y0; y0 = sy+y1; cur = -cur; /* swap P0 P2 */ } printf("B sx %d sy %d xx %ld yy %ld xy %ld cur %g\n", sx, sy, xx, yy, xy, cur); if (cur != 0) { /* no straight line */ xx += sx; xx *= sx = x0 < x2 ? 1 : -1; /* x step direction */ yy += sy; yy *= sy = y0 < y2 ? 1 : -1; /* y step direction */ printf("E sx %d sy %d xx %ld yy %ld xy %ld cur %g\n", sx, sy, xx, yy, xy, cur); xy = 2*xx*yy; printf("F sx %d sy %d xx %ld yy %ld xy %ld cur %g\n", sx, sy, xx, yy, xy, cur); xx *= xx; yy *= yy; /* differences 2nd degree */ printf("M sx %d sy %d xx %ld yy %ld xy %ld cur %g\n", sx, sy, xx, yy, xy, cur); if (cur*sx*sy < 0) { /* negated curvature? */ printf("negate\n"); xx = -xx; yy = -yy; xy = -xy; cur = -cur; } printf("N sx %d sy %d xx %ld yy %ld xy %ld cur %g\n", sx, sy, xx, yy, xy, cur); dx = 4.0*sy*cur*(x1-x0)+xx-xy; /* differences 1st degree */ dy = 4.0*sx*cur*(y0-y1)+yy-xy; xx += xx; yy += yy; err = dx+dy+xy; /* error 1st step */ do { printf("%d %d: dx %g dy %g err %g\n", x0, y0, dx, dy, err); if (x0 == x2 && y0 == y2) return; /* last pixel -> curve finished */ y1 = 2*err < dx; /* save value for test of y step */ if (2*err > dy) { x0 += sx; dx -= xy; err += dy += yy; } /* x step */ if ( y1 ) { y0 += sy; dy -= xy; err += dx += xx; } /* y step */ } while (dy < dx ); /* gradient negates -> algorithm fails */ } //? plotLine(x0,y0, x2,y2); /* plot remaining part to end */ } int main(void) { plotQuadBezierSeg(0x200, 0x20, 0x180, 0x90, 0x180, 0x160); return 0; }