static cairo_status_t
_cpf_curve_to (void		*closure,
	       cairo_point_t	*p1,
	       cairo_point_t	*p2,
	       cairo_point_t	*p3)
{
    cpf_t *cpf = closure;
    cairo_status_t status;
    cairo_spline_t spline;
    int i;

    cairo_point_t *p0 = &cpf->current_point;

    status = _cairo_spline_init (&spline, p0, p1, p2, p3);
    if (status == CAIRO_INT_STATUS_DEGENERATE)
	return CAIRO_STATUS_SUCCESS;

    status = _cairo_spline_decompose (&spline, cpf->tolerance);
    if (status)
      goto out;

    for (i=1; i < spline.num_points; i++) {
	status = cpf->line_to (cpf->closure, &spline.points[i]);
	if (status)
	    goto out;
    }

    cpf->current_point = *p3;

    status = CAIRO_STATUS_SUCCESS;

 out:
    _cairo_spline_fini (&spline);
    return status;
}
static cairo_status_t
_cairo_filler_curve_to (void *closure,
			cairo_point_t *b,
			cairo_point_t *c,
			cairo_point_t *d)
{
    int i;
    cairo_status_t status = CAIRO_STATUS_SUCCESS;
    cairo_filler_t *filler = closure;
    cairo_polygon_t *polygon = &filler->polygon;
    cairo_spline_t spline;

    status = _cairo_spline_init (&spline, &filler->current_point, b, c, d);

    if (status == CAIRO_INT_STATUS_DEGENERATE)
	return CAIRO_STATUS_SUCCESS;

    _cairo_spline_decompose (&spline, filler->tolerance);
    if (status)
	goto CLEANUP_SPLINE;

    for (i = 1; i < spline.num_points; i++) {
	status = _cairo_polygon_line_to (polygon, &spline.points[i]);
	if (status)
	    break;
    }

  CLEANUP_SPLINE:
    _cairo_spline_fini (&spline);

    filler->current_point = *d;

    return status;
}
/* We're using two different algorithms here for dashed and un-dashed
 * splines. The dashed algorithm uses the existing line dashing
 * code. It's linear in path length, but gets subtly wrong results for
 * self-intersecting paths (an outstanding but for self-intersecting
 * non-curved paths as well). The non-dashed algorithm tessellates a
 * single polygon for the whole curve. It handles the
 * self-intersecting problem, but it's (unsurprisingly) not O(n) and
 * more significantly, it doesn't yet handle dashes.
 *
 * The only reason we're doing split algorithms here is to
 * minimize the impact of fixing the splines-aren't-dashed bug for
 * 1.0.2. Long-term the right answer is to rewrite the whole pile
 * of stroking code so that the entire result is computed as a
 * single polygon that is tessellated, (that is, stroking can be
 * built on top of filling). That will solve the self-intersecting
 * problem. It will also increase the importance of implementing
 * an efficient and more robust tessellator.
 */
static cairo_status_t
_cairo_stroker_curve_to_dashed (void *closure,
				cairo_point_t *b,
				cairo_point_t *c,
				cairo_point_t *d)
{
    cairo_status_t status = CAIRO_STATUS_SUCCESS;
    cairo_stroker_t *stroker = closure;
    cairo_spline_t spline;
    cairo_point_t *a = &stroker->current_point;
    cairo_line_join_t line_join_save;
    int i;

    status = _cairo_spline_init (&spline, a, b, c, d);
    if (status == CAIRO_INT_STATUS_DEGENERATE)
	return _cairo_stroker_line_to_dashed (closure, d);

    /* If the line width is so small that the pen is reduced to a
       single point, then we have nothing to do. */
    if (stroker->pen.num_vertices <= 1)
	goto CLEANUP_SPLINE;

    /* Temporarily modify the stroker to use round joins to guarantee
     * smooth stroked curves. */
    line_join_save = stroker->style->line_join;
    stroker->style->line_join = CAIRO_LINE_JOIN_ROUND;

    status = _cairo_spline_decompose (&spline, stroker->tolerance);
    if (status)
	goto CLEANUP_GSTATE;

    for (i = 1; i < spline.num_points; i++) {
	if (stroker->dashed)
	    status = _cairo_stroker_line_to_dashed (stroker, &spline.points[i]);
	else
	    status = _cairo_stroker_line_to (stroker, &spline.points[i]);
	if (status)
	    break;
    }

  CLEANUP_GSTATE:
    stroker->style->line_join = line_join_save;

  CLEANUP_SPLINE:
    _cairo_spline_fini (&spline);

    return status;
}
static cairo_status_t
_cairo_stroker_curve_to (void *closure,
			 cairo_point_t *b,
			 cairo_point_t *c,
			 cairo_point_t *d)
{
    cairo_status_t status = CAIRO_STATUS_SUCCESS;
    cairo_stroker_t *stroker = closure;
    cairo_spline_t spline;
    cairo_pen_t pen;
    cairo_stroke_face_t start, end;
    cairo_point_t extra_points[4];
    cairo_point_t *a = &stroker->current_point;
    double initial_slope_dx, initial_slope_dy;
    double final_slope_dx, final_slope_dy;

    status = _cairo_spline_init (&spline, a, b, c, d);
    if (status == CAIRO_INT_STATUS_DEGENERATE)
	return _cairo_stroker_line_to (closure, d);

    status = _cairo_pen_init_copy (&pen, &stroker->pen);
    if (status)
	goto CLEANUP_SPLINE;

    initial_slope_dx = _cairo_fixed_to_double (spline.initial_slope.dx);
    initial_slope_dy = _cairo_fixed_to_double (spline.initial_slope.dy);
    final_slope_dx = _cairo_fixed_to_double (spline.final_slope.dx);
    final_slope_dy = _cairo_fixed_to_double (spline.final_slope.dy);

    if (_compute_normalized_device_slope (&initial_slope_dx, &initial_slope_dy, stroker->ctm_inverse, NULL))
	_compute_face (a, &spline.initial_slope, initial_slope_dx, initial_slope_dy, stroker, &start);

    if (_compute_normalized_device_slope (&final_slope_dx, &final_slope_dy, stroker->ctm_inverse, NULL))
	_compute_face (d, &spline.final_slope, final_slope_dx, final_slope_dy, stroker, &end);

    if (stroker->has_current_face) {
	status = _cairo_stroker_join (stroker, &stroker->current_face, &start);
	if (status)
	    goto CLEANUP_PEN;
    } else if (!stroker->has_first_face) {
	stroker->first_face = start;
	stroker->has_first_face = TRUE;
    }
    stroker->current_face = end;
    stroker->has_current_face = TRUE;

    extra_points[0] = start.cw;
    extra_points[0].x -= start.point.x;
    extra_points[0].y -= start.point.y;
    extra_points[1] = start.ccw;
    extra_points[1].x -= start.point.x;
    extra_points[1].y -= start.point.y;
    extra_points[2] = end.cw;
    extra_points[2].x -= end.point.x;
    extra_points[2].y -= end.point.y;
    extra_points[3] = end.ccw;
    extra_points[3].x -= end.point.x;
    extra_points[3].y -= end.point.y;

    status = _cairo_pen_add_points (&pen, extra_points, 4);
    if (status)
	goto CLEANUP_PEN;

    status = _cairo_pen_stroke_spline (&pen, &spline, stroker->tolerance, stroker->traps);
    if (status)
	goto CLEANUP_PEN;

  CLEANUP_PEN:
    _cairo_pen_fini (&pen);
  CLEANUP_SPLINE:
    _cairo_spline_fini (&spline);

    stroker->current_point = *d;

    return status;
}