93fe466f71fc1e40c33e27f311f846d26028cb26
kate
  Thu Jan 11 18:18:16 2018 -0800
Abandon unaliased bezier curve after Braney fixed aliased version.  Checked timing on aliased and it was speedy, so ono reason to keep ugly drawer. refs #17512

diff --git src/hg/lib/hvGfx.c src/hg/lib/hvGfx.c
index e710428..392e1d2 100644
--- src/hg/lib/hvGfx.c
+++ src/hg/lib/hvGfx.c
@@ -253,33 +253,30 @@
 struct memPng *png = (struct memPng *)hvg->vg->data;
 struct memGfx *img = (struct memGfx *)png;
 if ((x < img->clipMinX) || (x > img->clipMaxX) || (y < img->clipMinY) || (y > img->clipMaxY))
     return;
 
 Color *pt = _mgPixAdr(img,x,y);
 float invFrac = 1 - frac;
 
 int r = COLOR_32_RED(*pt) * invFrac + COLOR_32_RED(col) * frac;
 int g = COLOR_32_GREEN(*pt) * invFrac + COLOR_32_GREEN(col) * frac;
 int b = COLOR_32_BLUE(*pt) * invFrac + COLOR_32_BLUE(col) * frac;
 hvGfxDot(hvg, x, y, MAKECOLOR_32(r,g,b));
 hvGfxDot(hvg, x, y, MAKECOLOR_32(r,g,b));
 }
 
-#define fraction(X) (((double)(X))-(double)(int)(X))
-#define invFraction(X) (1.0-fraction(X))
-
 void hvGfxCurveSeg(struct hvGfx *hvg, int x0, int y0, int x1, int y1, int x2, int y2, Color color)
 /* Draw a segment of a curve within 3 points (quadratic Bezier)
  * Adapted trivially from code posted on github and at http://members.chello.at/~easyfilter/bresenham.html */
  /* Thanks to author  * @author Zingl Alois
  * @date 22.08.2016 */
 {
   int sx = x2-x1, sy = y2-y1;
   long xx = x0-x1, yy = y0-y1, xy;              /* 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 */
 
   if (sx*(long)sx+sy*(long)sy > xx*xx+yy*yy) {      /* begin with longer part */
     x2 = x0; x0 = sx+x1; y2 = y0; y0 = sy+y1; cur = -cur;       /* swap P0 P2 */
   }
@@ -338,31 +335,31 @@
          if (x0 == x2 || y0 == y2) break;     /* last pixel -> curve finished */
          x1 = x0; cur = dx-err; y1 = 2*err+dy < 0;
          if (2*err+dx > 0) {                                        /* x step */
             if (err-dy < ed) mixDot(hvg, x0,y0+sy, 1-fabs(err-dy)/ed, color);
             x0 += sx; dx -= xy; err += dy += yy;
          }
          if (y1) {                                                  /* y step */
             if (cur < ed) mixDot(hvg, x1+sx,y0, 1-fabs(cur)/ed, color);
             y0 += sy; dy -= xy; err += dx += xx;
          }
       } while (dy < dx);                  /* gradient negates -> close curves */
    }
    hvGfxLine(hvg, x0,y0, x2,y2, color);                  /* plot remaining needle to end */
 }
 
-void hvGfxCurveAA(struct hvGfx *hvg, int x0, int y0, int x1, int y1, int x2, int y2, Color color)
+void hvGfxCurve(struct hvGfx *hvg, int x0, int y0, int x1, int y1, int x2, int y2, Color color)
 /* Draw a segment of an anti-aliased curve within 3 points (quadratic Bezier)
  * Adapted trivially from code posted at http://members.chello.at/~easyfilter/bresenham.html */
 {
    int x = x0-x1, y = y0-y1;
    double t = x0-2*x1+x2, r;
 
    if ((long)x*(x2-x1) > 0) {                        /* horizontal cut at P4? */
       if ((long)y*(y2-y1) > 0)                     /* vertical cut at P6 too? */
          if (fabs((y0-2*y1+y2)/t*x) > abs(y)) {               /* which first? */
             x0 = x2; x2 = x+x1; y0 = y2; y2 = y+y1;            /* swap points */
          }                            /* now horizontal cut at P4 comes first */
       t = (x0-x1)/t;
       r = (1-t)*((1-t)*y0+2.0*t*y1)+t*t*y2;                       /* By(t=P4) */
       t = (x0*x2-x1*x1)*t/(x0-x1);                       /* gradient dP4/dx=0 */
       x = floor(t+0.5); y = floor(r+0.5);
@@ -372,92 +369,61 @@
       x0 = x1 = x; y0 = y; y1 = floor(r+0.5);             /* P0 = P4, P1 = P8 */
    }
    if ((long)(y0-y1)*(y2-y1) > 0) {                    /* vertical cut at P6? */
       t = y0-2*y1+y2; t = (y0-y1)/t;
       r = (1-t)*((1-t)*x0+2.0*t*x1)+t*t*x2;                       /* Bx(t=P6) */
       t = (y0*y2-y1*y1)*t/(y0-y1);                       /* gradient dP6/dy=0 */
       x = floor(r+0.5); y = floor(t+0.5);
       r = (x1-x0)*(t-y0)/(y1-y0)+x0;                  /* intersect P6 | P0 P1 */
       hvGfxCurveSegAA(hvg,x0,y0, floor(r+0.5),y, x,y, color);
       r = (x1-x2)*(t-y2)/(y1-y2)+x2;                  /* intersect P7 | P1 P2 */
       x0 = x; x1 = floor(r+0.5); y0 = y1 = y;             /* P0 = P6, P1 = P7 */
    }
    hvGfxCurveSegAA(hvg,x0,y0, x1,y1, x2,y2, color);                  /* remaining part */
 }
 
-void hvGfxCurve(struct hvGfx *hvg, int x0, int y0, int x1, int y1, int x2, int y2, Color color)
-/* Draw a segment of an anti-aliased curve within 3 points (quadratic Bezier)
- * Adapted trivially from code posted at http://members.chello.at/~easyfilter/bresenham.html */
-{
-   int x = x0-x1, y = y0-y1;
-   double t = x0-2*x1+x2, r;
-
-   if ((long)x*(x2-x1) > 0) {                        /* horizontal cut at P4? */
-      if ((long)y*(y2-y1) > 0)                     /* vertical cut at P6 too? */
-         if (fabs((y0-2*y1+y2)/t*x) > abs(y)) {               /* which first? */
-            x0 = x2; x2 = x+x1; y0 = y2; y2 = y+y1;            /* swap points */
-         }                            /* now horizontal cut at P4 comes first */
-      t = (x0-x1)/t;
-      r = (1-t)*((1-t)*y0+2.0*t*y1)+t*t*y2;                       /* By(t=P4) */
-      t = (x0*x2-x1*x1)*t/(x0-x1);                       /* gradient dP4/dx=0 */
-      x = floor(t+0.5); y = floor(r+0.5);
-      r = (y1-y0)*(t-x0)/(x1-x0)+y0;                  /* intersect P3 | P0 P1 */
-      hvGfxCurveSeg(hvg,x0,y0, x,floor(r+0.5), x,y, color);
-      r = (y1-y2)*(t-x2)/(x1-x2)+y2;                  /* intersect P4 | P1 P2 */
-      x0 = x1 = x; y0 = y; y1 = floor(r+0.5);             /* P0 = P4, P1 = P8 */
-   }
-   if ((long)(y0-y1)*(y2-y1) > 0) {                    /* vertical cut at P6? */
-      t = y0-2*y1+y2; t = (y0-y1)/t;
-      r = (1-t)*((1-t)*x0+2.0*t*x1)+t*t*x2;                       /* Bx(t=P6) */
-      t = (y0*y2-y1*y1)*t/(y0-y1);                       /* gradient dP6/dy=0 */
-      x = floor(r+0.5); y = floor(t+0.5);
-      r = (x1-x0)*(t-y0)/(y1-y0)+x0;                  /* intersect P6 | P0 P1 */
-      hvGfxCurveSeg(hvg,x0,y0, floor(r+0.5),y, x,y, color);
-      r = (x1-x2)*(t-y2)/(y1-y2)+x2;                  /* intersect P7 | P1 P2 */
-      x0 = x; x1 = floor(r+0.5); y0 = y1 = y;             /* P0 = P6, P1 = P7 */
-   }
-   hvGfxCurveSeg(hvg,x0,y0, x1,y1, x2,y2, color);                  /* remaining part */
-}
-
-#ifdef INFINITE
+#ifdef PROBLEM
+// TODO: Tame anti-aliasing with Braney help, or drop
 void hvGfxEllipseAA(struct hvGfx *hvg, int x0, int y0, int x1, int y1, Color color)
 /* Draw an anti-aliased ellipse specified by rectangle, using Bresenham algorithm.
  * Point 0 is left, point 1 is top of rectangle
  * Adapted trivially from code posted at http://members.chello.at/~easyfilter/bresenham.html
  */
 {
    long a = abs(x1-x0), b = abs(y1-y0), b1 = b&1;                 /* diameter */
    float dx = 4*(a-1.0)*b*b, dy = 4*(b1+1)*a*a;            /* error increment */
    float ed, i, err = b1*a*a-dx+dy;                        /* error of 1.step */
    bool f;
 
    if (a == 0 || b == 0) return hvGfxLine(hvg, x0, y0, x1, y1, color);
    if (x0 > x1) { x0 = x1; x1 += a; }        /* if called with swapped points */
    if (y0 > y1) y0 = y1;                                  /* .. exchange them */
    y0 += (b+1)/2; y1 = y0-b1;                               /* starting pixel */
    a = 8*a*a; b1 = 8*b*b;
 
    int q = 0;
    for (q=0; q<1000; q++) {                             /* approximate ed=sqrt(dx*dx+dy*dy) */
    //for (;;) {                             /* approximate ed=sqrt(dx*dx+dy*dy) */
       i = min(dx,dy); ed = max(dx,dy);
       if (y0 == y1+1 && err > dy && a > b1) ed = 255*4./a;           /* x-tip */
       else ed = 255/(ed+2*ed*i*i/(4*ed*ed+i*i));             /* approximation */
       i = ed*fabs(err+dx-dy);           /* get intensity value by pixel error */
       mixDot(hvg, x0,y0, i, color); mixDot(hvg, x0,y1, i, color);
       mixDot(hvg, x1,y0, i, color); mixDot(hvg, x1,y1, i, color);
 
+      //mixDot(hvg, x0,y0, 1-fabs(err-dx-dy-xy)/ed, color);          /* plot curve */
+
       if ((f = 2*err+dy) >= 0) {                  /* x step, remember condition */
          if (x0 >= x1) break;
          i = ed*(err+dx);
          if (i < 255) {
             mixDot(hvg, x0,y0+1, i, color); mixDot(hvg, x0,y1-1, i, color);
             mixDot(hvg, x1,y0+1, i, color); mixDot(hvg, x1,y1-1, i, color);
          }          /* do error increment later since values are still needed */
       }
       if ((2*err) <= dx) {                                            /* y step */
          i = ed*(dy-err);
          if (i < 255) {
             mixDot(hvg, x0+1,y0, i, color); mixDot(hvg, x1-1,y0, i, color);
             mixDot(hvg, x0+1,y1, i, color); mixDot(hvg, x1-1,y1, i, color);
          }
          y0++; y1--; err += dy += a;