const cairo_point_t *points,
int num_points);
-#define cairo_path_head(path__) (&(path__)->buf.base)
-#define cairo_path_tail(path__) cairo_path_buf_prev (cairo_path_head (path__))
-
-#define cairo_path_buf_next(pos__) \
- cairo_list_entry ((pos__)->link.next, cairo_path_buf_t, link)
-#define cairo_path_buf_prev(pos__) \
- cairo_list_entry ((pos__)->link.prev, cairo_path_buf_t, link)
-
-#define cairo_path_foreach_buf_start(pos__, path__) \
- pos__ = cairo_path_head (path__); do
-#define cairo_path_foreach_buf_end(pos__, path__) \
- while ((pos__ = cairo_path_buf_next (pos__)) != cairo_path_head (path__))
-
void
_cairo_path_fixed_init (cairo_path_fixed_t *path)
{
}
}
-/*
- * Check whether the given path contains a single rectangle.
- */
-cairo_bool_t
-_cairo_path_fixed_is_box (const cairo_path_fixed_t *path,
- cairo_box_t *box)
+static inline cairo_bool_t
+_path_is_quad (const cairo_path_fixed_t *path)
{
const cairo_path_buf_t *buf = cairo_path_head (path);
- if (! path->fill_is_rectilinear)
- return FALSE;
-
/* Do we have the right number of ops? */
if (buf->num_ops < 4 || buf->num_ops > 6)
return FALSE;
}
}
- /* Ok, we may have a box, if the points line up */
- if (buf->points[0].y == buf->points[1].y &&
- buf->points[1].x == buf->points[2].x &&
- buf->points[2].y == buf->points[3].y &&
- buf->points[3].x == buf->points[0].x)
- {
+ return TRUE;
+}
+
+static inline cairo_bool_t
+_points_form_rect (const cairo_point_t *points)
+{
+ if (points[0].y == points[1].y &&
+ points[1].x == points[2].x &&
+ points[2].y == points[3].y &&
+ points[3].x == points[0].x)
+ return TRUE;
+ if (points[0].x == points[1].x &&
+ points[1].y == points[2].y &&
+ points[2].x == points[3].x &&
+ points[3].y == points[0].y)
+ return TRUE;
+ return FALSE;
+}
+
+/*
+ * Check whether the given path contains a single rectangle.
+ */
+cairo_bool_t
+_cairo_path_fixed_is_box (const cairo_path_fixed_t *path,
+ cairo_box_t *box)
+{
+ const cairo_path_buf_t *buf;
+
+ if (! path->fill_is_rectilinear)
+ return FALSE;
+
+ if (! _path_is_quad (path))
+ return FALSE;
+
+ buf = cairo_path_head (path);
+ if (_points_form_rect (buf->points)) {
_canonical_box (box, &buf->points[0], &buf->points[2]);
return TRUE;
}
- if (buf->points[0].x == buf->points[1].x &&
- buf->points[1].y == buf->points[2].y &&
- buf->points[2].x == buf->points[3].x &&
- buf->points[3].y == buf->points[0].y)
- {
- _canonical_box (box, &buf->points[0], &buf->points[2]);
+ return FALSE;
+}
+
+/* Determine whether two lines A->B and C->D intersect based on the
+ * algorithm described here: http://paulbourke.net/geometry/lineline2d/ */
+static inline cairo_bool_t
+_lines_intersect_or_are_coincident (cairo_point_t a,
+ cairo_point_t b,
+ cairo_point_t c,
+ cairo_point_t d)
+{
+ cairo_int64_t numerator_a, numerator_b, denominator;
+
+ denominator = _cairo_int64_sub (_cairo_int32x32_64_mul (d.y - c.y, b.x - a.x),
+ _cairo_int32x32_64_mul (d.x - c.x, b.y - a.y));
+ numerator_a = _cairo_int64_sub (_cairo_int32x32_64_mul (d.x - c.x, a.y - c.y),
+ _cairo_int32x32_64_mul (d.y - c.y, a.x - c.x));
+ numerator_b = _cairo_int64_sub (_cairo_int32x32_64_mul (b.x - a.x, a.y - c.y),
+ _cairo_int32x32_64_mul (b.y - a.y, a.x - c.x));
+
+ if (_cairo_int64_is_zero (denominator)) {
+ /* If the denominator and numerators are both zero,
+ * the lines are coincident. */
+ if (_cairo_int64_is_zero (numerator_a) && _cairo_int64_is_zero (numerator_b))
+ return TRUE;
+
+ /* Otherwise, a zero denominator indicates the lines are
+ * parallel and never intersect. */
+ return FALSE;
+ }
+
+ /* If either division would produce a number between 0 and 1, i.e.
+ * the numerator is smaller than the denominator and their signs are
+ * the same, then the lines intersect. */
+ if (_cairo_int64_lt (numerator_a, denominator) &&
+ ! (_cairo_int64_negative (numerator_a) ^ _cairo_int64_negative(denominator))) {
+ return TRUE;
+ }
+
+ if (_cairo_int64_lt (numerator_b, denominator) &&
+ ! (_cairo_int64_negative (numerator_b) ^ _cairo_int64_negative(denominator))) {
return TRUE;
}
}
cairo_bool_t
+_cairo_path_fixed_is_simple_quad (const cairo_path_fixed_t *path)
+{
+ const cairo_point_t *points;
+
+ if (! _path_is_quad (path))
+ return FALSE;
+
+ points = cairo_path_head (path)->points;
+ if (_points_form_rect (points))
+ return TRUE;
+
+ if (_lines_intersect_or_are_coincident (points[0], points[1],
+ points[3], points[2]))
+ return FALSE;
+
+ if (_lines_intersect_or_are_coincident (points[0], points[3],
+ points[1], points[2]))
+ return FALSE;
+
+ return TRUE;
+}
+
+cairo_bool_t
_cairo_path_fixed_is_stroke_box (const cairo_path_fixed_t *path,
cairo_box_t *box)
{