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+/* -*- Mode: c; tab-width: 8; c-basic-offset: 4; indent-tabs-mode: t; -*- */
+/*
+ * Copyright © 2002 Keith Packard
+ * Copyright © 2007 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 Keith Packard
+ *
+ * Contributor(s):
+ * Keith R. Packard <keithp@keithp.com>
+ * Carl D. Worth <cworth@cworth.org>
+ *
+ * 2002-07-15: Converted from XRenderCompositeDoublePoly to #cairo_trap_t. Carl D. Worth
+ */
+
+#include "cairoint.h"
+
+#include "cairo-box-inline.h"
+#include "cairo-boxes-private.h"
+#include "cairo-error-private.h"
+#include "cairo-line-private.h"
+#include "cairo-region-private.h"
+#include "cairo-slope-private.h"
+#include "cairo-traps-private.h"
+#include "cairo-spans-private.h"
+
+/* private functions */
+
+void
+_cairo_traps_init (cairo_traps_t *traps)
+{
+ VG (VALGRIND_MAKE_MEM_UNDEFINED (traps, sizeof (cairo_traps_t)));
+
+ traps->status = CAIRO_STATUS_SUCCESS;
+
+ traps->maybe_region = 1;
+ traps->is_rectilinear = 0;
+ traps->is_rectangular = 0;
+
+ traps->num_traps = 0;
+
+ traps->traps_size = ARRAY_LENGTH (traps->traps_embedded);
+ traps->traps = traps->traps_embedded;
+
+ traps->num_limits = 0;
+ traps->has_intersections = FALSE;
+}
+
+void
+_cairo_traps_limit (cairo_traps_t *traps,
+ const cairo_box_t *limits,
+ int num_limits)
+{
+ int i;
+
+ traps->limits = limits;
+ traps->num_limits = num_limits;
+
+ traps->bounds = limits[0];
+ for (i = 1; i < num_limits; i++)
+ _cairo_box_add_box (&traps->bounds, &limits[i]);
+}
+
+void
+_cairo_traps_init_with_clip (cairo_traps_t *traps,
+ const cairo_clip_t *clip)
+{
+ _cairo_traps_init (traps);
+ if (clip)
+ _cairo_traps_limit (traps, clip->boxes, clip->num_boxes);
+}
+
+void
+_cairo_traps_clear (cairo_traps_t *traps)
+{
+ traps->status = CAIRO_STATUS_SUCCESS;
+
+ traps->maybe_region = 1;
+ traps->is_rectilinear = 0;
+ traps->is_rectangular = 0;
+
+ traps->num_traps = 0;
+ traps->has_intersections = FALSE;
+}
+
+void
+_cairo_traps_fini (cairo_traps_t *traps)
+{
+ if (traps->traps != traps->traps_embedded)
+ free (traps->traps);
+
+ VG (VALGRIND_MAKE_MEM_UNDEFINED (traps, sizeof (cairo_traps_t)));
+}
+
+/* make room for at least one more trap */
+static cairo_bool_t
+_cairo_traps_grow (cairo_traps_t *traps)
+{
+ cairo_trapezoid_t *new_traps;
+ int new_size = 4 * traps->traps_size;
+
+ if (CAIRO_INJECT_FAULT ()) {
+ traps->status = _cairo_error (CAIRO_STATUS_NO_MEMORY);
+ return FALSE;
+ }
+
+ if (traps->traps == traps->traps_embedded) {
+ new_traps = _cairo_malloc_ab (new_size, sizeof (cairo_trapezoid_t));
+ if (new_traps != NULL)
+ memcpy (new_traps, traps->traps, sizeof (traps->traps_embedded));
+ } else {
+ new_traps = _cairo_realloc_ab (traps->traps,
+ new_size, sizeof (cairo_trapezoid_t));
+ }
+
+ if (unlikely (new_traps == NULL)) {
+ traps->status = _cairo_error (CAIRO_STATUS_NO_MEMORY);
+ return FALSE;
+ }
+
+ traps->traps = new_traps;
+ traps->traps_size = new_size;
+ return TRUE;
+}
+
+void
+_cairo_traps_add_trap (cairo_traps_t *traps,
+ cairo_fixed_t top, cairo_fixed_t bottom,
+ const cairo_line_t *left,
+ const cairo_line_t *right)
+{
+ cairo_trapezoid_t *trap;
+
+ assert (left->p1.y != left->p2.y);
+ assert (right->p1.y != right->p2.y);
+ assert (bottom > top);
+
+ if (unlikely (traps->num_traps == traps->traps_size)) {
+ if (unlikely (! _cairo_traps_grow (traps)))
+ return;
+ }
+
+ trap = &traps->traps[traps->num_traps++];
+ trap->top = top;
+ trap->bottom = bottom;
+ trap->left = *left;
+ trap->right = *right;
+}
+
+static void
+_cairo_traps_add_clipped_trap (cairo_traps_t *traps,
+ cairo_fixed_t _top, cairo_fixed_t _bottom,
+ const cairo_line_t *_left,
+ const cairo_line_t *_right)
+{
+ /* Note: With the goofy trapezoid specification, (where an
+ * arbitrary two points on the lines can specified for the left
+ * and right edges), these limit checks would not work in
+ * general. For example, one can imagine a trapezoid entirely
+ * within the limits, but with two points used to specify the left
+ * edge entirely to the right of the limits. Fortunately, for our
+ * purposes, cairo will never generate such a crazy
+ * trapezoid. Instead, cairo always uses for its points the
+ * extreme positions of the edge that are visible on at least some
+ * trapezoid. With this constraint, it's impossible for both
+ * points to be outside the limits while the relevant edge is
+ * entirely inside the limits.
+ */
+ if (traps->num_limits) {
+ const cairo_box_t *b = &traps->bounds;
+ cairo_fixed_t top = _top, bottom = _bottom;
+ cairo_line_t left = *_left, right = *_right;
+
+ /* Trivially reject if trapezoid is entirely to the right or
+ * to the left of the limits. */
+ if (left.p1.x >= b->p2.x && left.p2.x >= b->p2.x)
+ return;
+
+ if (right.p1.x <= b->p1.x && right.p2.x <= b->p1.x)
+ return;
+
+ /* And reject if the trapezoid is entirely above or below */
+ if (top >= b->p2.y || bottom <= b->p1.y)
+ return;
+
+ /* Otherwise, clip the trapezoid to the limits. We only clip
+ * where an edge is entirely outside the limits. If we wanted
+ * to be more clever, we could handle cases where a trapezoid
+ * edge intersects the edge of the limits, but that would
+ * require slicing this trapezoid into multiple trapezoids,
+ * and I'm not sure the effort would be worth it. */
+ if (top < b->p1.y)
+ top = b->p1.y;
+
+ if (bottom > b->p2.y)
+ bottom = b->p2.y;
+
+ if (left.p1.x <= b->p1.x && left.p2.x <= b->p1.x)
+ left.p1.x = left.p2.x = b->p1.x;
+
+ if (right.p1.x >= b->p2.x && right.p2.x >= b->p2.x)
+ right.p1.x = right.p2.x = b->p2.x;
+
+ /* Trivial discards for empty trapezoids that are likely to
+ * be produced by our tessellators (most notably convex_quad
+ * when given a simple rectangle).
+ */
+ if (top >= bottom)
+ return;
+
+ /* cheap colinearity check */
+ if (right.p1.x <= left.p1.x && right.p1.y == left.p1.y &&
+ right.p2.x <= left.p2.x && right.p2.y == left.p2.y)
+ return;
+
+ _cairo_traps_add_trap (traps, top, bottom, &left, &right);
+ } else
+ _cairo_traps_add_trap (traps, _top, _bottom, _left, _right);
+}
+
+static int
+_compare_point_fixed_by_y (const void *av, const void *bv)
+{
+ const cairo_point_t *a = av, *b = bv;
+ int ret = a->y - b->y;
+ if (ret == 0)
+ ret = a->x - b->x;
+ return ret;
+}
+
+void
+_cairo_traps_tessellate_convex_quad (cairo_traps_t *traps,
+ const cairo_point_t q[4])
+{
+ int a, b, c, d;
+ int i;
+ cairo_slope_t ab, ad;
+ cairo_bool_t b_left_of_d;
+ cairo_line_t left;
+ cairo_line_t right;
+
+ /* Choose a as a point with minimal y */
+ a = 0;
+ for (i = 1; i < 4; i++)
+ if (_compare_point_fixed_by_y (&q[i], &q[a]) < 0)
+ a = i;
+
+ /* b and d are adjacent to a, while c is opposite */
+ b = (a + 1) % 4;
+ c = (a + 2) % 4;
+ d = (a + 3) % 4;
+
+ /* Choose between b and d so that b.y is less than d.y */
+ if (_compare_point_fixed_by_y (&q[d], &q[b]) < 0) {
+ b = (a + 3) % 4;
+ d = (a + 1) % 4;
+ }
+
+ /* Without freedom left to choose anything else, we have four
+ * cases to tessellate.
+ *
+ * First, we have to determine the Y-axis sort of the four
+ * vertices, (either abcd or abdc). After that we need to detemine
+ * which edges will be "left" and which will be "right" in the
+ * resulting trapezoids. This can be determined by computing a
+ * slope comparison of ab and ad to determine if b is left of d or
+ * not.
+ *
+ * Note that "left of" here is in the sense of which edges should
+ * be the left vs. right edges of the trapezoid. In particular, b
+ * left of d does *not* mean that b.x is less than d.x.
+ *
+ * This should hopefully be made clear in the lame ASCII art
+ * below. Since the same slope comparison is used in all cases, we
+ * compute it before testing for the Y-value sort. */
+
+ /* Note: If a == b then the ab slope doesn't give us any
+ * information. In that case, we can replace it with the ac (or
+ * equivalenly the bc) slope which gives us exactly the same
+ * information we need. At worst the names of the identifiers ab
+ * and b_left_of_d are inaccurate in this case, (would be ac, and
+ * c_left_of_d). */
+ if (q[a].x == q[b].x && q[a].y == q[b].y)
+ _cairo_slope_init (&ab, &q[a], &q[c]);
+ else
+ _cairo_slope_init (&ab, &q[a], &q[b]);
+
+ _cairo_slope_init (&ad, &q[a], &q[d]);
+
+ b_left_of_d = _cairo_slope_compare (&ab, &ad) > 0;
+
+ if (q[c].y <= q[d].y) {
+ if (b_left_of_d) {
+ /* Y-sort is abcd and b is left of d, (slope(ab) > slope (ad))
+ *
+ * top bot left right
+ * _a a a
+ * / / /| |\ a.y b.y ab ad
+ * b / b | b \
+ * / / | | \ \ b.y c.y bc ad
+ * c / c | c \
+ * | / \| \ \ c.y d.y cd ad
+ * d d d
+ */
+ left.p1 = q[a]; left.p2 = q[b];
+ right.p1 = q[a]; right.p2 = q[d];
+ _cairo_traps_add_clipped_trap (traps, q[a].y, q[b].y, &left, &right);
+ left.p1 = q[b]; left.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[b].y, q[c].y, &left, &right);
+ left.p1 = q[c]; left.p2 = q[d];
+ _cairo_traps_add_clipped_trap (traps, q[c].y, q[d].y, &left, &right);
+ } else {
+ /* Y-sort is abcd and b is right of d, (slope(ab) <= slope (ad))
+ *
+ * a a a_
+ * /| |\ \ \ a.y b.y ad ab
+ * / b | b \ b
+ * / / | | \ \ b.y c.y ad bc
+ * / c | c \ c
+ * / / |/ \ | c.y d.y ad cd
+ * d d d
+ */
+ left.p1 = q[a]; left.p2 = q[d];
+ right.p1 = q[a]; right.p2 = q[b];
+ _cairo_traps_add_clipped_trap (traps, q[a].y, q[b].y, &left, &right);
+ right.p1 = q[b]; right.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[b].y, q[c].y, &left, &right);
+ right.p1 = q[c]; right.p2 = q[d];
+ _cairo_traps_add_clipped_trap (traps, q[c].y, q[d].y, &left, &right);
+ }
+ } else {
+ if (b_left_of_d) {
+ /* Y-sort is abdc and b is left of d, (slope (ab) > slope (ad))
+ *
+ * a a a
+ * // / \ |\ a.y b.y ab ad
+ * /b/ b \ b \
+ * / / \ \ \ \ b.y d.y bc ad
+ * /d/ \ d \ d
+ * // \ / \| d.y c.y bc dc
+ * c c c
+ */
+ left.p1 = q[a]; left.p2 = q[b];
+ right.p1 = q[a]; right.p2 = q[d];
+ _cairo_traps_add_clipped_trap (traps, q[a].y, q[b].y, &left, &right);
+ left.p1 = q[b]; left.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[b].y, q[d].y, &left, &right);
+ right.p1 = q[d]; right.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[d].y, q[c].y, &left, &right);
+ } else {
+ /* Y-sort is abdc and b is right of d, (slope (ab) <= slope (ad))
+ *
+ * a a a
+ * /| / \ \\ a.y b.y ad ab
+ * / b / b \b\
+ * / / / / \ \ b.y d.y ad bc
+ * d / d / \d\
+ * |/ \ / \\ d.y c.y dc bc
+ * c c c
+ */
+ left.p1 = q[a]; left.p2 = q[d];
+ right.p1 = q[a]; right.p2 = q[b];
+ _cairo_traps_add_clipped_trap (traps, q[a].y, q[b].y, &left, &right);
+ right.p1 = q[b]; right.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[b].y, q[d].y, &left, &right);
+ left.p1 = q[d]; left.p2 = q[c];
+ _cairo_traps_add_clipped_trap (traps, q[d].y, q[c].y, &left, &right);
+ }
+ }
+}
+
+static void add_tri (cairo_traps_t *traps,
+ int y1, int y2,
+ const cairo_line_t *left,
+ const cairo_line_t *right)
+{
+ if (y2 < y1) {
+ int tmp = y1;
+ y1 = y2;
+ y2 = tmp;
+ }
+
+ if (cairo_lines_compare_at_y (left, right, y1) > 0) {
+ const cairo_line_t *tmp = left;
+ left = right;
+ right = tmp;
+ }
+
+ _cairo_traps_add_clipped_trap (traps, y1, y2, left, right);
+}
+
+void
+_cairo_traps_tessellate_triangle_with_edges (cairo_traps_t *traps,
+ const cairo_point_t t[3],
+ const cairo_point_t edges[4])
+{
+ cairo_line_t lines[3];
+
+ if (edges[0].y <= edges[1].y) {
+ lines[0].p1 = edges[0];
+ lines[0].p2 = edges[1];
+ } else {
+ lines[0].p1 = edges[1];
+ lines[0].p2 = edges[0];
+ }
+
+ if (edges[2].y <= edges[3].y) {
+ lines[1].p1 = edges[2];
+ lines[1].p2 = edges[3];
+ } else {
+ lines[1].p1 = edges[3];
+ lines[1].p2 = edges[2];
+ }
+
+ if (t[1].y == t[2].y) {
+ add_tri (traps, t[0].y, t[1].y, &lines[0], &lines[1]);
+ return;
+ }
+
+ if (t[1].y <= t[2].y) {
+ lines[2].p1 = t[1];
+ lines[2].p2 = t[2];
+ } else {
+ lines[2].p1 = t[2];
+ lines[2].p2 = t[1];
+ }
+
+ if (((t[1].y - t[0].y) < 0) ^ ((t[2].y - t[0].y) < 0)) {
+ add_tri (traps, t[0].y, t[1].y, &lines[0], &lines[2]);
+ add_tri (traps, t[0].y, t[2].y, &lines[1], &lines[2]);
+ } else if (abs(t[1].y - t[0].y) < abs(t[2].y - t[0].y)) {
+ add_tri (traps, t[0].y, t[1].y, &lines[0], &lines[1]);
+ add_tri (traps, t[1].y, t[2].y, &lines[2], &lines[1]);
+ } else {
+ add_tri (traps, t[0].y, t[2].y, &lines[1], &lines[0]);
+ add_tri (traps, t[1].y, t[2].y, &lines[2], &lines[0]);
+ }
+}
+
+/**
+ * _cairo_traps_init_boxes:
+ * @traps: a #cairo_traps_t
+ * @box: an array box that will each be converted to a single trapezoid
+ * to store in @traps.
+ *
+ * Initializes a #cairo_traps_t to contain an array of rectangular
+ * trapezoids.
+ **/
+cairo_status_t
+_cairo_traps_init_boxes (cairo_traps_t *traps,
+ const cairo_boxes_t *boxes)
+{
+ cairo_trapezoid_t *trap;
+ const struct _cairo_boxes_chunk *chunk;
+
+ _cairo_traps_init (traps);
+
+ while (traps->traps_size < boxes->num_boxes) {
+ if (unlikely (! _cairo_traps_grow (traps))) {
+ _cairo_traps_fini (traps);
+ return _cairo_error (CAIRO_STATUS_NO_MEMORY);
+ }
+ }
+
+ traps->num_traps = boxes->num_boxes;
+ traps->is_rectilinear = TRUE;
+ traps->is_rectangular = TRUE;
+ traps->maybe_region = boxes->is_pixel_aligned;
+
+ trap = &traps->traps[0];
+ for (chunk = &boxes->chunks; chunk != NULL; chunk = chunk->next) {
+ const cairo_box_t *box;
+ int i;
+
+ box = chunk->base;
+ for (i = 0; i < chunk->count; i++) {
+ trap->top = box->p1.y;
+ trap->bottom = box->p2.y;
+
+ trap->left.p1 = box->p1;
+ trap->left.p2.x = box->p1.x;
+ trap->left.p2.y = box->p2.y;
+
+ trap->right.p1.x = box->p2.x;
+ trap->right.p1.y = box->p1.y;
+ trap->right.p2 = box->p2;
+
+ box++, trap++;
+ }
+ }
+
+ return CAIRO_STATUS_SUCCESS;
+}
+
+cairo_status_t
+_cairo_traps_tessellate_rectangle (cairo_traps_t *traps,
+ const cairo_point_t *top_left,
+ const cairo_point_t *bottom_right)
+{
+ cairo_line_t left;
+ cairo_line_t right;
+ cairo_fixed_t top, bottom;
+
+ if (top_left->y == bottom_right->y)
+ return CAIRO_STATUS_SUCCESS;
+
+ if (top_left->x == bottom_right->x)
+ return CAIRO_STATUS_SUCCESS;
+
+ left.p1.x = left.p2.x = top_left->x;
+ left.p1.y = right.p1.y = top_left->y;
+ right.p1.x = right.p2.x = bottom_right->x;
+ left.p2.y = right.p2.y = bottom_right->y;
+
+ top = top_left->y;
+ bottom = bottom_right->y;
+
+ if (traps->num_limits) {
+ cairo_bool_t reversed;
+ int n;
+
+ if (top >= traps->bounds.p2.y || bottom <= traps->bounds.p1.y)
+ return CAIRO_STATUS_SUCCESS;
+
+ /* support counter-clockwise winding for rectangular tessellation */
+ reversed = top_left->x > bottom_right->x;
+ if (reversed) {
+ right.p1.x = right.p2.x = top_left->x;
+ left.p1.x = left.p2.x = bottom_right->x;
+ }
+
+ if (left.p1.x >= traps->bounds.p2.x || right.p1.x <= traps->bounds.p1.x)
+ return CAIRO_STATUS_SUCCESS;
+
+ for (n = 0; n < traps->num_limits; n++) {
+ const cairo_box_t *limits = &traps->limits[n];
+ cairo_line_t _left, _right;
+ cairo_fixed_t _top, _bottom;
+
+ if (top >= limits->p2.y)
+ continue;
+ if (bottom <= limits->p1.y)
+ continue;
+
+ /* Trivially reject if trapezoid is entirely to the right or
+ * to the left of the limits. */
+ if (left.p1.x >= limits->p2.x)
+ continue;
+ if (right.p1.x <= limits->p1.x)
+ continue;
+
+ /* Otherwise, clip the trapezoid to the limits. */
+ _top = top;
+ if (_top < limits->p1.y)
+ _top = limits->p1.y;
+
+ _bottom = bottom;
+ if (_bottom > limits->p2.y)
+ _bottom = limits->p2.y;
+
+ if (_bottom <= _top)
+ continue;
+
+ _left = left;
+ if (_left.p1.x < limits->p1.x) {
+ _left.p1.x = limits->p1.x;
+ _left.p1.y = limits->p1.y;
+ _left.p2.x = limits->p1.x;
+ _left.p2.y = limits->p2.y;
+ }
+
+ _right = right;
+ if (_right.p1.x > limits->p2.x) {
+ _right.p1.x = limits->p2.x;
+ _right.p1.y = limits->p1.y;
+ _right.p2.x = limits->p2.x;
+ _right.p2.y = limits->p2.y;
+ }
+
+ if (left.p1.x >= right.p1.x)
+ continue;
+
+ if (reversed)
+ _cairo_traps_add_trap (traps, _top, _bottom, &_right, &_left);
+ else
+ _cairo_traps_add_trap (traps, _top, _bottom, &_left, &_right);
+ }
+ } else {
+ _cairo_traps_add_trap (traps, top, bottom, &left, &right);
+ }
+
+ return traps->status;
+}
+
+void
+_cairo_traps_translate (cairo_traps_t *traps, int x, int y)
+{
+ cairo_fixed_t xoff, yoff;
+ cairo_trapezoid_t *t;
+ int i;
+
+ /* Ugh. The cairo_composite/(Render) interface doesn't allow
+ an offset for the trapezoids. Need to manually shift all
+ the coordinates to align with the offset origin of the
+ intermediate surface. */
+
+ xoff = _cairo_fixed_from_int (x);
+ yoff = _cairo_fixed_from_int (y);
+
+ for (i = 0, t = traps->traps; i < traps->num_traps; i++, t++) {
+ t->top += yoff;
+ t->bottom += yoff;
+ t->left.p1.x += xoff;
+ t->left.p1.y += yoff;
+ t->left.p2.x += xoff;
+ t->left.p2.y += yoff;
+ t->right.p1.x += xoff;
+ t->right.p1.y += yoff;
+ t->right.p2.x += xoff;
+ t->right.p2.y += yoff;
+ }
+}
+
+void
+_cairo_trapezoid_array_translate_and_scale (cairo_trapezoid_t *offset_traps,
+ cairo_trapezoid_t *src_traps,
+ int num_traps,
+ double tx, double ty,
+ double sx, double sy)
+{
+ int i;
+ cairo_fixed_t xoff = _cairo_fixed_from_double (tx);
+ cairo_fixed_t yoff = _cairo_fixed_from_double (ty);
+
+ if (sx == 1.0 && sy == 1.0) {
+ for (i = 0; i < num_traps; i++) {
+ offset_traps[i].top = src_traps[i].top + yoff;
+ offset_traps[i].bottom = src_traps[i].bottom + yoff;
+ offset_traps[i].left.p1.x = src_traps[i].left.p1.x + xoff;
+ offset_traps[i].left.p1.y = src_traps[i].left.p1.y + yoff;
+ offset_traps[i].left.p2.x = src_traps[i].left.p2.x + xoff;
+ offset_traps[i].left.p2.y = src_traps[i].left.p2.y + yoff;
+ offset_traps[i].right.p1.x = src_traps[i].right.p1.x + xoff;
+ offset_traps[i].right.p1.y = src_traps[i].right.p1.y + yoff;
+ offset_traps[i].right.p2.x = src_traps[i].right.p2.x + xoff;
+ offset_traps[i].right.p2.y = src_traps[i].right.p2.y + yoff;
+ }
+ } else {
+ cairo_fixed_t xsc = _cairo_fixed_from_double (sx);
+ cairo_fixed_t ysc = _cairo_fixed_from_double (sy);
+
+ for (i = 0; i < num_traps; i++) {
+ offset_traps[i].top = _cairo_fixed_mul (src_traps[i].top + yoff, ysc);
+ offset_traps[i].bottom = _cairo_fixed_mul (src_traps[i].bottom + yoff, ysc);
+ offset_traps[i].left.p1.x = _cairo_fixed_mul (src_traps[i].left.p1.x + xoff, xsc);
+ offset_traps[i].left.p1.y = _cairo_fixed_mul (src_traps[i].left.p1.y + yoff, ysc);
+ offset_traps[i].left.p2.x = _cairo_fixed_mul (src_traps[i].left.p2.x + xoff, xsc);
+ offset_traps[i].left.p2.y = _cairo_fixed_mul (src_traps[i].left.p2.y + yoff, ysc);
+ offset_traps[i].right.p1.x = _cairo_fixed_mul (src_traps[i].right.p1.x + xoff, xsc);
+ offset_traps[i].right.p1.y = _cairo_fixed_mul (src_traps[i].right.p1.y + yoff, ysc);
+ offset_traps[i].right.p2.x = _cairo_fixed_mul (src_traps[i].right.p2.x + xoff, xsc);
+ offset_traps[i].right.p2.y = _cairo_fixed_mul (src_traps[i].right.p2.y + yoff, ysc);
+ }
+ }
+}
+
+static cairo_bool_t
+_cairo_trap_contains (cairo_trapezoid_t *t, cairo_point_t *pt)
+{
+ cairo_slope_t slope_left, slope_pt, slope_right;
+
+ if (t->top > pt->y)
+ return FALSE;
+ if (t->bottom < pt->y)
+ return FALSE;
+
+ _cairo_slope_init (&slope_left, &t->left.p1, &t->left.p2);
+ _cairo_slope_init (&slope_pt, &t->left.p1, pt);
+
+ if (_cairo_slope_compare (&slope_left, &slope_pt) < 0)
+ return FALSE;
+
+ _cairo_slope_init (&slope_right, &t->right.p1, &t->right.p2);
+ _cairo_slope_init (&slope_pt, &t->right.p1, pt);
+
+ if (_cairo_slope_compare (&slope_pt, &slope_right) < 0)
+ return FALSE;
+
+ return TRUE;
+}
+
+cairo_bool_t
+_cairo_traps_contain (const cairo_traps_t *traps,
+ double x, double y)
+{
+ int i;
+ cairo_point_t point;
+
+ point.x = _cairo_fixed_from_double (x);
+ point.y = _cairo_fixed_from_double (y);
+
+ for (i = 0; i < traps->num_traps; i++) {
+ if (_cairo_trap_contains (&traps->traps[i], &point))
+ return TRUE;
+ }
+
+ return FALSE;
+}
+
+static cairo_fixed_t
+_line_compute_intersection_x_for_y (const cairo_line_t *line,
+ cairo_fixed_t y)
+{
+ return _cairo_edge_compute_intersection_x_for_y (&line->p1, &line->p2, y);
+}
+
+void
+_cairo_traps_extents (const cairo_traps_t *traps,
+ cairo_box_t *extents)
+{
+ int i;
+
+ if (traps->num_traps == 0) {
+ extents->p1.x = extents->p1.y = 0;
+ extents->p2.x = extents->p2.y = 0;
+ return;
+ }
+
+ extents->p1.x = extents->p1.y = INT32_MAX;
+ extents->p2.x = extents->p2.y = INT32_MIN;
+
+ for (i = 0; i < traps->num_traps; i++) {
+ const cairo_trapezoid_t *trap = &traps->traps[i];
+
+ if (trap->top < extents->p1.y)
+ extents->p1.y = trap->top;
+ if (trap->bottom > extents->p2.y)
+ extents->p2.y = trap->bottom;
+
+ if (trap->left.p1.x < extents->p1.x) {
+ cairo_fixed_t x = trap->left.p1.x;
+ if (trap->top != trap->left.p1.y) {
+ x = _line_compute_intersection_x_for_y (&trap->left,
+ trap->top);
+ if (x < extents->p1.x)
+ extents->p1.x = x;
+ } else
+ extents->p1.x = x;
+ }
+ if (trap->left.p2.x < extents->p1.x) {
+ cairo_fixed_t x = trap->left.p2.x;
+ if (trap->bottom != trap->left.p2.y) {
+ x = _line_compute_intersection_x_for_y (&trap->left,
+ trap->bottom);
+ if (x < extents->p1.x)
+ extents->p1.x = x;
+ } else
+ extents->p1.x = x;
+ }
+
+ if (trap->right.p1.x > extents->p2.x) {
+ cairo_fixed_t x = trap->right.p1.x;
+ if (trap->top != trap->right.p1.y) {
+ x = _line_compute_intersection_x_for_y (&trap->right,
+ trap->top);
+ if (x > extents->p2.x)
+ extents->p2.x = x;
+ } else
+ extents->p2.x = x;
+ }
+ if (trap->right.p2.x > extents->p2.x) {
+ cairo_fixed_t x = trap->right.p2.x;
+ if (trap->bottom != trap->right.p2.y) {
+ x = _line_compute_intersection_x_for_y (&trap->right,
+ trap->bottom);
+ if (x > extents->p2.x)
+ extents->p2.x = x;
+ } else
+ extents->p2.x = x;
+ }
+ }
+}
+
+static cairo_bool_t
+_mono_edge_is_vertical (const cairo_line_t *line)
+{
+ return _cairo_fixed_integer_round_down (line->p1.x) == _cairo_fixed_integer_round_down (line->p2.x);
+}
+
+static cairo_bool_t
+_traps_are_pixel_aligned (cairo_traps_t *traps,
+ cairo_antialias_t antialias)
+{
+ int i;
+
+ if (antialias == CAIRO_ANTIALIAS_NONE) {
+ for (i = 0; i < traps->num_traps; i++) {
+ if (! _mono_edge_is_vertical (&traps->traps[i].left) ||
+ ! _mono_edge_is_vertical (&traps->traps[i].right))
+ {
+ traps->maybe_region = FALSE;
+ return FALSE;
+ }
+ }
+ } else {
+ for (i = 0; i < traps->num_traps; i++) {
+ if (traps->traps[i].left.p1.x != traps->traps[i].left.p2.x ||
+ traps->traps[i].right.p1.x != traps->traps[i].right.p2.x ||
+ ! _cairo_fixed_is_integer (traps->traps[i].top) ||
+ ! _cairo_fixed_is_integer (traps->traps[i].bottom) ||
+ ! _cairo_fixed_is_integer (traps->traps[i].left.p1.x) ||
+ ! _cairo_fixed_is_integer (traps->traps[i].right.p1.x))
+ {
+ traps->maybe_region = FALSE;
+ return FALSE;
+ }
+ }
+ }
+
+ return TRUE;
+}
+
+/**
+ * _cairo_traps_extract_region:
+ * @traps: a #cairo_traps_t
+ * @region: a #cairo_region_t
+ *
+ * Determines if a set of trapezoids are exactly representable as a
+ * cairo region. If so, the passed-in region is initialized to
+ * the area representing the given traps. It should be finalized
+ * with cairo_region_fini(). If not, %CAIRO_INT_STATUS_UNSUPPORTED
+ * is returned.
+ *
+ * Return value: %CAIRO_STATUS_SUCCESS, %CAIRO_INT_STATUS_UNSUPPORTED
+ * or %CAIRO_STATUS_NO_MEMORY
+ **/
+cairo_int_status_t
+_cairo_traps_extract_region (cairo_traps_t *traps,
+ cairo_antialias_t antialias,
+ cairo_region_t **region)
+{
+ cairo_rectangle_int_t stack_rects[CAIRO_STACK_ARRAY_LENGTH (cairo_rectangle_int_t)];
+ cairo_rectangle_int_t *rects = stack_rects;
+ cairo_int_status_t status;
+ int i, rect_count;
+
+ /* we only treat this a hint... */
+ if (antialias != CAIRO_ANTIALIAS_NONE && ! traps->maybe_region)
+ return CAIRO_INT_STATUS_UNSUPPORTED;
+
+ if (! _traps_are_pixel_aligned (traps, antialias)) {
+ traps->maybe_region = FALSE;
+ return CAIRO_INT_STATUS_UNSUPPORTED;
+ }
+
+ if (traps->num_traps > ARRAY_LENGTH (stack_rects)) {
+ rects = _cairo_malloc_ab (traps->num_traps, sizeof (cairo_rectangle_int_t));
+
+ if (unlikely (rects == NULL))
+ return _cairo_error (CAIRO_STATUS_NO_MEMORY);
+ }
+
+ rect_count = 0;
+ for (i = 0; i < traps->num_traps; i++) {
+ int x1, y1, x2, y2;
+
+ if (antialias == CAIRO_ANTIALIAS_NONE) {
+ x1 = _cairo_fixed_integer_round_down (traps->traps[i].left.p1.x);
+ y1 = _cairo_fixed_integer_round_down (traps->traps[i].top);
+ x2 = _cairo_fixed_integer_round_down (traps->traps[i].right.p1.x);
+ y2 = _cairo_fixed_integer_round_down (traps->traps[i].bottom);
+ } else {
+ x1 = _cairo_fixed_integer_part (traps->traps[i].left.p1.x);
+ y1 = _cairo_fixed_integer_part (traps->traps[i].top);
+ x2 = _cairo_fixed_integer_part (traps->traps[i].right.p1.x);
+ y2 = _cairo_fixed_integer_part (traps->traps[i].bottom);
+ }
+
+ if (x2 > x1 && y2 > y1) {
+ rects[rect_count].x = x1;
+ rects[rect_count].y = y1;
+ rects[rect_count].width = x2 - x1;
+ rects[rect_count].height = y2 - y1;
+ rect_count++;
+ }
+ }
+
+
+ *region = cairo_region_create_rectangles (rects, rect_count);
+ status = (*region)->status;
+
+ if (rects != stack_rects)
+ free (rects);
+
+ return status;
+}
+
+cairo_bool_t
+_cairo_traps_to_boxes (cairo_traps_t *traps,
+ cairo_antialias_t antialias,
+ cairo_boxes_t *boxes)
+{
+ int i;
+
+ for (i = 0; i < traps->num_traps; i++) {
+ if (traps->traps[i].left.p1.x != traps->traps[i].left.p2.x ||
+ traps->traps[i].right.p1.x != traps->traps[i].right.p2.x)
+ return FALSE;
+ }
+
+ _cairo_boxes_init (boxes);
+
+ boxes->num_boxes = traps->num_traps;
+ boxes->chunks.base = (cairo_box_t *) traps->traps;
+ boxes->chunks.count = traps->num_traps;
+ boxes->chunks.size = traps->num_traps;
+
+ if (antialias != CAIRO_ANTIALIAS_NONE) {
+ for (i = 0; i < traps->num_traps; i++) {
+ /* Note the traps and boxes alias so we need to take the local copies first. */
+ cairo_fixed_t x1 = traps->traps[i].left.p1.x;
+ cairo_fixed_t x2 = traps->traps[i].right.p1.x;
+ cairo_fixed_t y1 = traps->traps[i].top;
+ cairo_fixed_t y2 = traps->traps[i].bottom;
+
+ boxes->chunks.base[i].p1.x = x1;
+ boxes->chunks.base[i].p1.y = y1;
+ boxes->chunks.base[i].p2.x = x2;
+ boxes->chunks.base[i].p2.y = y2;
+
+ if (boxes->is_pixel_aligned) {
+ boxes->is_pixel_aligned =
+ _cairo_fixed_is_integer (x1) && _cairo_fixed_is_integer (y1) &&
+ _cairo_fixed_is_integer (x2) && _cairo_fixed_is_integer (y2);
+ }
+ }
+ } else {
+ boxes->is_pixel_aligned = TRUE;
+
+ for (i = 0; i < traps->num_traps; i++) {
+ /* Note the traps and boxes alias so we need to take the local copies first. */
+ cairo_fixed_t x1 = traps->traps[i].left.p1.x;
+ cairo_fixed_t x2 = traps->traps[i].right.p1.x;
+ cairo_fixed_t y1 = traps->traps[i].top;
+ cairo_fixed_t y2 = traps->traps[i].bottom;
+
+ /* round down here to match Pixman's behavior when using traps. */
+ boxes->chunks.base[i].p1.x = _cairo_fixed_round_down (x1);
+ boxes->chunks.base[i].p1.y = _cairo_fixed_round_down (y1);
+ boxes->chunks.base[i].p2.x = _cairo_fixed_round_down (x2);
+ boxes->chunks.base[i].p2.y = _cairo_fixed_round_down (y2);
+ }
+ }
+
+ return TRUE;
+}
+
+/* moves trap points such that they become the actual corners of the trapezoid */
+static void
+_sanitize_trap (cairo_trapezoid_t *t)
+{
+ cairo_trapezoid_t s = *t;
+
+#define FIX(lr, tb, p) \
+ if (t->lr.p.y != t->tb) { \
+ t->lr.p.x = s.lr.p2.x + _cairo_fixed_mul_div_floor (s.lr.p1.x - s.lr.p2.x, s.tb - s.lr.p2.y, s.lr.p1.y - s.lr.p2.y); \
+ t->lr.p.y = s.tb; \
+ }
+ FIX (left, top, p1);
+ FIX (left, bottom, p2);
+ FIX (right, top, p1);
+ FIX (right, bottom, p2);
+}
+
+cairo_private cairo_status_t
+_cairo_traps_path (const cairo_traps_t *traps,
+ cairo_path_fixed_t *path)
+{
+ int i;
+
+ for (i = 0; i < traps->num_traps; i++) {
+ cairo_status_t status;
+ cairo_trapezoid_t trap = traps->traps[i];
+
+ if (trap.top == trap.bottom)
+ continue;
+
+ _sanitize_trap (&trap);
+
+ status = _cairo_path_fixed_move_to (path, trap.left.p1.x, trap.top);
+ if (unlikely (status)) return status;
+ status = _cairo_path_fixed_line_to (path, trap.right.p1.x, trap.top);
+ if (unlikely (status)) return status;
+ status = _cairo_path_fixed_line_to (path, trap.right.p2.x, trap.bottom);
+ if (unlikely (status)) return status;
+ status = _cairo_path_fixed_line_to (path, trap.left.p2.x, trap.bottom);
+ if (unlikely (status)) return status;
+ status = _cairo_path_fixed_close_path (path);
+ if (unlikely (status)) return status;
+ }
+
+ return CAIRO_STATUS_SUCCESS;
+}
+
+void
+_cairo_debug_print_traps (FILE *file, const cairo_traps_t *traps)
+{
+ cairo_box_t extents;
+ int n;
+
+#if 0
+ if (traps->has_limits) {
+ printf ("%s: limits=(%d, %d, %d, %d)\n",
+ filename,
+ traps->limits.p1.x, traps->limits.p1.y,
+ traps->limits.p2.x, traps->limits.p2.y);
+ }
+#endif
+
+ _cairo_traps_extents (traps, &extents);
+ fprintf (file, "extents=(%d, %d, %d, %d)\n",
+ extents.p1.x, extents.p1.y,
+ extents.p2.x, extents.p2.y);
+
+ for (n = 0; n < traps->num_traps; n++) {
+ fprintf (file, "%d %d L:(%d, %d), (%d, %d) R:(%d, %d), (%d, %d)\n",
+ traps->traps[n].top,
+ traps->traps[n].bottom,
+ traps->traps[n].left.p1.x,
+ traps->traps[n].left.p1.y,
+ traps->traps[n].left.p2.x,
+ traps->traps[n].left.p2.y,
+ traps->traps[n].right.p1.x,
+ traps->traps[n].right.p1.y,
+ traps->traps[n].right.p2.x,
+ traps->traps[n].right.p2.y);
+ }
+}
+
+struct cairo_trap_renderer {
+ cairo_span_renderer_t base;
+ cairo_traps_t *traps;
+};
+
+static cairo_status_t
+span_to_traps (void *abstract_renderer, int y, int h,
+ const cairo_half_open_span_t *spans, unsigned num_spans)
+{
+ struct cairo_trap_renderer *r = abstract_renderer;
+ cairo_fixed_t top, bot;
+
+ if (num_spans == 0)
+ return CAIRO_STATUS_SUCCESS;
+
+ top = _cairo_fixed_from_int (y);
+ bot = _cairo_fixed_from_int (y + h);
+ do {
+ if (spans[0].coverage) {
+ cairo_fixed_t x0 = _cairo_fixed_from_int(spans[0].x);
+ cairo_fixed_t x1 = _cairo_fixed_from_int(spans[1].x);
+ cairo_line_t left = { { x0, top }, { x0, bot } },
+ right = { { x1, top }, { x1, bot } };
+ _cairo_traps_add_trap (r->traps, top, bot, &left, &right);
+ }
+ spans++;
+ } while (--num_spans > 1);
+
+ return CAIRO_STATUS_SUCCESS;
+}
+
+cairo_int_status_t
+_cairo_rasterise_polygon_to_traps (cairo_polygon_t *polygon,
+ cairo_fill_rule_t fill_rule,
+ cairo_antialias_t antialias,
+ cairo_traps_t *traps)
+{
+ struct cairo_trap_renderer renderer;
+ cairo_scan_converter_t *converter;
+ cairo_int_status_t status;
+ cairo_rectangle_int_t r;
+
+ TRACE ((stderr, "%s: fill_rule=%d, antialias=%d\n",
+ __FUNCTION__, fill_rule, antialias));
+ assert(antialias == CAIRO_ANTIALIAS_NONE);
+
+ renderer.traps = traps;
+ renderer.base.render_rows = span_to_traps;
+
+ _cairo_box_round_to_rectangle (&polygon->extents, &r);
+ converter = _cairo_mono_scan_converter_create (r.x, r.y,
+ r.x + r.width,
+ r.y + r.height,
+ fill_rule);
+ status = _cairo_mono_scan_converter_add_polygon (converter, polygon);
+ if (likely (status == CAIRO_INT_STATUS_SUCCESS))
+ status = converter->generate (converter, &renderer.base);
+ converter->destroy (converter);
+ return status;
+}