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+/* -*- Mode: c; tab-width: 8; c-basic-offset: 4; indent-tabs-mode: t; -*- */
+/* cairo - a vector graphics library with display and print output
+ *
+ * Copyright © 2002 University of Southern California
+ * Copyright © 2005 Red Hat, Inc.
+ * Copyright © 2006 Red Hat, Inc.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ * http://www.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ *
+ * The Original Code is the cairo graphics library.
+ *
+ * The Initial Developer of the Original Code is University of Southern
+ * California.
+ *
+ * Contributor(s):
+ * Carl D. Worth <cworth@cworth.org>
+ */
+
+#include "cairoint.h"
+
+#include "cairo-box-inline.h"
+
+const cairo_rectangle_int_t _cairo_empty_rectangle = { 0, 0, 0, 0 };
+const cairo_rectangle_int_t _cairo_unbounded_rectangle = {
+ CAIRO_RECT_INT_MIN, CAIRO_RECT_INT_MIN,
+ CAIRO_RECT_INT_MAX - CAIRO_RECT_INT_MIN,
+ CAIRO_RECT_INT_MAX - CAIRO_RECT_INT_MIN,
+};
+
+cairo_private void
+_cairo_box_from_doubles (cairo_box_t *box,
+ double *x1, double *y1,
+ double *x2, double *y2)
+{
+ box->p1.x = _cairo_fixed_from_double (*x1);
+ box->p1.y = _cairo_fixed_from_double (*y1);
+ box->p2.x = _cairo_fixed_from_double (*x2);
+ box->p2.y = _cairo_fixed_from_double (*y2);
+}
+
+cairo_private void
+_cairo_box_to_doubles (const cairo_box_t *box,
+ double *x1, double *y1,
+ double *x2, double *y2)
+{
+ *x1 = _cairo_fixed_to_double (box->p1.x);
+ *y1 = _cairo_fixed_to_double (box->p1.y);
+ *x2 = _cairo_fixed_to_double (box->p2.x);
+ *y2 = _cairo_fixed_to_double (box->p2.y);
+}
+
+void
+_cairo_box_from_rectangle (cairo_box_t *box,
+ const cairo_rectangle_int_t *rect)
+{
+ box->p1.x = _cairo_fixed_from_int (rect->x);
+ box->p1.y = _cairo_fixed_from_int (rect->y);
+ box->p2.x = _cairo_fixed_from_int (rect->x + rect->width);
+ box->p2.y = _cairo_fixed_from_int (rect->y + rect->height);
+}
+
+void
+_cairo_boxes_get_extents (const cairo_box_t *boxes,
+ int num_boxes,
+ cairo_box_t *extents)
+{
+ assert (num_boxes > 0);
+ *extents = *boxes;
+ while (--num_boxes)
+ _cairo_box_add_box (extents, ++boxes);
+}
+
+/* XXX We currently have a confusing mix of boxes and rectangles as
+ * exemplified by this function. A #cairo_box_t is a rectangular area
+ * represented by the coordinates of the upper left and lower right
+ * corners, expressed in fixed point numbers. A #cairo_rectangle_int_t is
+ * also a rectangular area, but represented by the upper left corner
+ * and the width and the height, as integer numbers.
+ *
+ * This function converts a #cairo_box_t to a #cairo_rectangle_int_t by
+ * increasing the area to the nearest integer coordinates. We should
+ * standardize on #cairo_rectangle_fixed_t and #cairo_rectangle_int_t, and
+ * this function could be renamed to the more reasonable
+ * _cairo_rectangle_fixed_round.
+ */
+
+void
+_cairo_box_round_to_rectangle (const cairo_box_t *box,
+ cairo_rectangle_int_t *rectangle)
+{
+ rectangle->x = _cairo_fixed_integer_floor (box->p1.x);
+ rectangle->y = _cairo_fixed_integer_floor (box->p1.y);
+ rectangle->width = _cairo_fixed_integer_ceil (box->p2.x) - rectangle->x;
+ rectangle->height = _cairo_fixed_integer_ceil (box->p2.y) - rectangle->y;
+}
+
+cairo_bool_t
+_cairo_rectangle_intersect (cairo_rectangle_int_t *dst,
+ const cairo_rectangle_int_t *src)
+{
+ int x1, y1, x2, y2;
+
+ x1 = MAX (dst->x, src->x);
+ y1 = MAX (dst->y, src->y);
+ /* Beware the unsigned promotion, fortunately we have bits to spare
+ * as (CAIRO_RECT_INT_MAX - CAIRO_RECT_INT_MIN) < UINT_MAX
+ */
+ x2 = MIN (dst->x + (int) dst->width, src->x + (int) src->width);
+ y2 = MIN (dst->y + (int) dst->height, src->y + (int) src->height);
+
+ if (x1 >= x2 || y1 >= y2) {
+ dst->x = 0;
+ dst->y = 0;
+ dst->width = 0;
+ dst->height = 0;
+
+ return FALSE;
+ } else {
+ dst->x = x1;
+ dst->y = y1;
+ dst->width = x2 - x1;
+ dst->height = y2 - y1;
+
+ return TRUE;
+ }
+}
+
+cairo_bool_t
+_cairo_rectangle_exact_intersect (cairo_rectangle_t *dst,
+ const cairo_rectangle_t *src)
+{
+ double x1, y1, x2, y2;
+
+ x1 = MAX (dst->x, src->x);
+ y1 = MAX (dst->y, src->y);
+ /* Beware the unsigned promotion, fortunately we have bits to spare
+ * as (CAIRO_RECT_INT_MAX - CAIRO_RECT_INT_MIN) < UINT_MAX
+ */
+ x2 = MIN (dst->x + dst->width, src->x + src->width);
+ y2 = MIN (dst->y + dst->height, src->y + src->height);
+
+ if (x1 >= x2 || y1 >= y2) {
+ dst->x = 0;
+ dst->y = 0;
+ dst->width = 0;
+ dst->height = 0;
+
+ return FALSE;
+ } else {
+ dst->x = x1;
+ dst->y = y1;
+ dst->width = x2 - x1;
+ dst->height = y2 - y1;
+
+ return TRUE;
+ }
+}
+
+/* Extends the dst rectangle to also contain src.
+ * If one of the rectangles is empty, the result is undefined
+ */
+void
+_cairo_rectangle_union (cairo_rectangle_int_t *dst,
+ const cairo_rectangle_int_t *src)
+{
+ int x1, y1, x2, y2;
+
+ x1 = MIN (dst->x, src->x);
+ y1 = MIN (dst->y, src->y);
+ /* Beware the unsigned promotion, fortunately we have bits to spare
+ * as (CAIRO_RECT_INT_MAX - CAIRO_RECT_INT_MIN) < UINT_MAX
+ */
+ x2 = MAX (dst->x + (int) dst->width, src->x + (int) src->width);
+ y2 = MAX (dst->y + (int) dst->height, src->y + (int) src->height);
+
+ dst->x = x1;
+ dst->y = y1;
+ dst->width = x2 - x1;
+ dst->height = y2 - y1;
+}
+
+#define P1x (line->p1.x)
+#define P1y (line->p1.y)
+#define P2x (line->p2.x)
+#define P2y (line->p2.y)
+#define B1x (box->p1.x)
+#define B1y (box->p1.y)
+#define B2x (box->p2.x)
+#define B2y (box->p2.y)
+
+/*
+ * Check whether any part of line intersects box. This function essentially
+ * computes whether the ray starting at line->p1 in the direction of line->p2
+ * intersects the box before it reaches p2. Normally, this is done
+ * by dividing by the lengths of the line projected onto each axis. Because
+ * we're in fixed point, this function does a bit more work to avoid having to
+ * do the division -- we don't care about the actual intersection point, so
+ * it's of no interest to us.
+ */
+
+cairo_bool_t
+_cairo_box_intersects_line_segment (const cairo_box_t *box, cairo_line_t *line)
+{
+ cairo_fixed_t t1=0, t2=0, t3=0, t4=0;
+ cairo_int64_t t1y, t2y, t3x, t4x;
+
+ cairo_fixed_t xlen, ylen;
+
+ if (_cairo_box_contains_point (box, &line->p1) ||
+ _cairo_box_contains_point (box, &line->p2))
+ return TRUE;
+
+ xlen = P2x - P1x;
+ ylen = P2y - P1y;
+
+ if (xlen) {
+ if (xlen > 0) {
+ t1 = B1x - P1x;
+ t2 = B2x - P1x;
+ } else {
+ t1 = P1x - B2x;
+ t2 = P1x - B1x;
+ xlen = - xlen;
+ }
+
+ if ((t1 < 0 || t1 > xlen) &&
+ (t2 < 0 || t2 > xlen))
+ return FALSE;
+ } else {
+ /* Fully vertical line -- check that X is in bounds */
+ if (P1x < B1x || P1x > B2x)
+ return FALSE;
+ }
+
+ if (ylen) {
+ if (ylen > 0) {
+ t3 = B1y - P1y;
+ t4 = B2y - P1y;
+ } else {
+ t3 = P1y - B2y;
+ t4 = P1y - B1y;
+ ylen = - ylen;
+ }
+
+ if ((t3 < 0 || t3 > ylen) &&
+ (t4 < 0 || t4 > ylen))
+ return FALSE;
+ } else {
+ /* Fully horizontal line -- check Y */
+ if (P1y < B1y || P1y > B2y)
+ return FALSE;
+ }
+
+ /* If we had a horizontal or vertical line, then it's already been checked */
+ if (P1x == P2x || P1y == P2y)
+ return TRUE;
+
+ /* Check overlap. Note that t1 < t2 and t3 < t4 here. */
+ t1y = _cairo_int32x32_64_mul (t1, ylen);
+ t2y = _cairo_int32x32_64_mul (t2, ylen);
+ t3x = _cairo_int32x32_64_mul (t3, xlen);
+ t4x = _cairo_int32x32_64_mul (t4, xlen);
+
+ if (_cairo_int64_lt(t1y, t4x) &&
+ _cairo_int64_lt(t3x, t2y))
+ return TRUE;
+
+ return FALSE;
+}
+
+static cairo_status_t
+_cairo_box_add_spline_point (void *closure,
+ const cairo_point_t *point,
+ const cairo_slope_t *tangent)
+{
+ _cairo_box_add_point (closure, point);
+
+ return CAIRO_STATUS_SUCCESS;
+}
+
+/* assumes a has been previously added */
+void
+_cairo_box_add_curve_to (cairo_box_t *extents,
+ const cairo_point_t *a,
+ const cairo_point_t *b,
+ const cairo_point_t *c,
+ const cairo_point_t *d)
+{
+ _cairo_box_add_point (extents, d);
+ if (!_cairo_box_contains_point (extents, b) ||
+ !_cairo_box_contains_point (extents, c))
+ {
+ cairo_status_t status;
+
+ status = _cairo_spline_bound (_cairo_box_add_spline_point,
+ extents, a, b, c, d);
+ assert (status == CAIRO_STATUS_SUCCESS);
+ }
+}
+
+void
+_cairo_rectangle_int_from_double (cairo_rectangle_int_t *recti,
+ const cairo_rectangle_t *rectf)
+{
+ recti->x = floor (rectf->x);
+ recti->y = floor (rectf->y);
+ recti->width = ceil (rectf->x + rectf->width) - floor (rectf->x);
+ recti->height = ceil (rectf->y + rectf->height) - floor (rectf->y);
+}