/* -*- Mode: c; c-basic-offset: 4; indent-tabs-mode: t; tab-width: 8; -*- */ /* cairo - a vector graphics library with display and print output * * Copyright © 2002 University of Southern California * * 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 */ #include "cairoint.h" #include "cairo-boxes-private.h" #include "cairo-contour-private.h" #include "cairo-error-private.h" #define DEBUG_POLYGON 0 #if DEBUG_POLYGON && !NDEBUG static void assert_last_edge_is_valid(cairo_polygon_t *polygon, const cairo_box_t *limit) { cairo_edge_t *edge; cairo_fixed_t x; edge = &polygon->edges[polygon->num_edges-1]; assert (edge->bottom > edge->top); assert (edge->top >= limit->p1.y); assert (edge->bottom <= limit->p2.y); x = _cairo_edge_compute_intersection_x_for_y (&edge->line.p1, &edge->line.p2, edge->top); assert (x >= limit->p1.x); assert (x <= limit->p2.x); x = _cairo_edge_compute_intersection_x_for_y (&edge->line.p1, &edge->line.p2, edge->bottom); assert (x >= limit->p1.x); assert (x <= limit->p2.x); } #else #define assert_last_edge_is_valid(p, l) #endif static void _cairo_polygon_add_edge (cairo_polygon_t *polygon, const cairo_point_t *p1, const cairo_point_t *p2, int dir); void _cairo_polygon_limit (cairo_polygon_t *polygon, const cairo_box_t *limits, int num_limits) { int n; polygon->limits = limits; polygon->num_limits = num_limits; if (polygon->num_limits) { polygon->limit = limits[0]; for (n = 1; n < num_limits; n++) { if (limits[n].p1.x < polygon->limit.p1.x) polygon->limit.p1.x = limits[n].p1.x; if (limits[n].p1.y < polygon->limit.p1.y) polygon->limit.p1.y = limits[n].p1.y; if (limits[n].p2.x > polygon->limit.p2.x) polygon->limit.p2.x = limits[n].p2.x; if (limits[n].p2.y > polygon->limit.p2.y) polygon->limit.p2.y = limits[n].p2.y; } } } void _cairo_polygon_limit_to_clip (cairo_polygon_t *polygon, const cairo_clip_t *clip) { if (clip) _cairo_polygon_limit (polygon, clip->boxes, clip->num_boxes); else _cairo_polygon_limit (polygon, 0, 0); } void _cairo_polygon_init (cairo_polygon_t *polygon, const cairo_box_t *limits, int num_limits) { VG (VALGRIND_MAKE_MEM_UNDEFINED (polygon, sizeof (cairo_polygon_t))); polygon->status = CAIRO_STATUS_SUCCESS; polygon->num_edges = 0; polygon->edges = polygon->edges_embedded; polygon->edges_size = ARRAY_LENGTH (polygon->edges_embedded); polygon->extents.p1.x = polygon->extents.p1.y = INT32_MAX; polygon->extents.p2.x = polygon->extents.p2.y = INT32_MIN; _cairo_polygon_limit (polygon, limits, num_limits); } void _cairo_polygon_init_with_clip (cairo_polygon_t *polygon, const cairo_clip_t *clip) { if (clip) _cairo_polygon_init (polygon, clip->boxes, clip->num_boxes); else _cairo_polygon_init (polygon, 0, 0); } cairo_status_t _cairo_polygon_init_boxes (cairo_polygon_t *polygon, const cairo_boxes_t *boxes) { const struct _cairo_boxes_chunk *chunk; int i; VG (VALGRIND_MAKE_MEM_UNDEFINED (polygon, sizeof (cairo_polygon_t))); polygon->status = CAIRO_STATUS_SUCCESS; polygon->num_edges = 0; polygon->edges = polygon->edges_embedded; polygon->edges_size = ARRAY_LENGTH (polygon->edges_embedded); if (boxes->num_boxes > ARRAY_LENGTH (polygon->edges_embedded)/2) { polygon->edges_size = 2 * boxes->num_boxes; polygon->edges = _cairo_malloc_ab (polygon->edges_size, 2*sizeof(cairo_edge_t)); if (unlikely (polygon->edges == NULL)) return polygon->status = _cairo_error (CAIRO_STATUS_NO_MEMORY); } polygon->extents.p1.x = polygon->extents.p1.y = INT32_MAX; polygon->extents.p2.x = polygon->extents.p2.y = INT32_MIN; polygon->limits = NULL; polygon->num_limits = 0; for (chunk = &boxes->chunks; chunk != NULL; chunk = chunk->next) { for (i = 0; i < chunk->count; i++) { cairo_point_t p1, p2; p1 = chunk->base[i].p1; p2.x = p1.x; p2.y = chunk->base[i].p2.y; _cairo_polygon_add_edge (polygon, &p1, &p2, 1); p1 = chunk->base[i].p2; p2.x = p1.x; p2.y = chunk->base[i].p1.y; _cairo_polygon_add_edge (polygon, &p1, &p2, 1); } } return polygon->status; } cairo_status_t _cairo_polygon_init_box_array (cairo_polygon_t *polygon, cairo_box_t *boxes, int num_boxes) { int i; VG (VALGRIND_MAKE_MEM_UNDEFINED (polygon, sizeof (cairo_polygon_t))); polygon->status = CAIRO_STATUS_SUCCESS; polygon->num_edges = 0; polygon->edges = polygon->edges_embedded; polygon->edges_size = ARRAY_LENGTH (polygon->edges_embedded); if (num_boxes > ARRAY_LENGTH (polygon->edges_embedded)/2) { polygon->edges_size = 2 * num_boxes; polygon->edges = _cairo_malloc_ab (polygon->edges_size, 2*sizeof(cairo_edge_t)); if (unlikely (polygon->edges == NULL)) return polygon->status = _cairo_error (CAIRO_STATUS_NO_MEMORY); } polygon->extents.p1.x = polygon->extents.p1.y = INT32_MAX; polygon->extents.p2.x = polygon->extents.p2.y = INT32_MIN; polygon->limits = NULL; polygon->num_limits = 0; for (i = 0; i < num_boxes; i++) { cairo_point_t p1, p2; p1 = boxes[i].p1; p2.x = p1.x; p2.y = boxes[i].p2.y; _cairo_polygon_add_edge (polygon, &p1, &p2, 1); p1 = boxes[i].p2; p2.x = p1.x; p2.y = boxes[i].p1.y; _cairo_polygon_add_edge (polygon, &p1, &p2, 1); } return polygon->status; } void _cairo_polygon_fini (cairo_polygon_t *polygon) { if (polygon->edges != polygon->edges_embedded) free (polygon->edges); VG (VALGRIND_MAKE_MEM_NOACCESS (polygon, sizeof (cairo_polygon_t))); } /* make room for at least one more edge */ static cairo_bool_t _cairo_polygon_grow (cairo_polygon_t *polygon) { cairo_edge_t *new_edges; int old_size = polygon->edges_size; int new_size = 4 * old_size; if (CAIRO_INJECT_FAULT ()) { polygon->status = _cairo_error (CAIRO_STATUS_NO_MEMORY); return FALSE; } if (polygon->edges == polygon->edges_embedded) { new_edges = _cairo_malloc_ab (new_size, sizeof (cairo_edge_t)); if (new_edges != NULL) memcpy (new_edges, polygon->edges, old_size * sizeof (cairo_edge_t)); } else { new_edges = _cairo_realloc_ab (polygon->edges, new_size, sizeof (cairo_edge_t)); } if (unlikely (new_edges == NULL)) { polygon->status = _cairo_error (CAIRO_STATUS_NO_MEMORY); return FALSE; } polygon->edges = new_edges; polygon->edges_size = new_size; return TRUE; } static void _add_edge (cairo_polygon_t *polygon, const cairo_point_t *p1, const cairo_point_t *p2, int top, int bottom, int dir) { cairo_edge_t *edge; assert (top < bottom); if (unlikely (polygon->num_edges == polygon->edges_size)) { if (! _cairo_polygon_grow (polygon)) return; } edge = &polygon->edges[polygon->num_edges++]; edge->line.p1 = *p1; edge->line.p2 = *p2; edge->top = top; edge->bottom = bottom; edge->dir = dir; if (top < polygon->extents.p1.y) polygon->extents.p1.y = top; if (bottom > polygon->extents.p2.y) polygon->extents.p2.y = bottom; if (p1->x < polygon->extents.p1.x || p1->x > polygon->extents.p2.x) { cairo_fixed_t x = p1->x; if (top != p1->y) x = _cairo_edge_compute_intersection_x_for_y (p1, p2, top); if (x < polygon->extents.p1.x) polygon->extents.p1.x = x; if (x > polygon->extents.p2.x) polygon->extents.p2.x = x; } if (p2->x < polygon->extents.p1.x || p2->x > polygon->extents.p2.x) { cairo_fixed_t x = p2->x; if (bottom != p2->y) x = _cairo_edge_compute_intersection_x_for_y (p1, p2, bottom); if (x < polygon->extents.p1.x) polygon->extents.p1.x = x; if (x > polygon->extents.p2.x) polygon->extents.p2.x = x; } } static void _add_clipped_edge (cairo_polygon_t *polygon, const cairo_point_t *p1, const cairo_point_t *p2, const int top, const int bottom, const int dir) { cairo_point_t bot_left, top_right; cairo_fixed_t top_y, bot_y; int n; for (n = 0; n < polygon->num_limits; n++) { const cairo_box_t *limits = &polygon->limits[n]; cairo_fixed_t pleft, pright; if (top >= limits->p2.y) continue; if (bottom <= limits->p1.y) continue; bot_left.x = limits->p1.x; bot_left.y = limits->p2.y; top_right.x = limits->p2.x; top_right.y = limits->p1.y; /* The useful region */ top_y = MAX (top, limits->p1.y); bot_y = MIN (bottom, limits->p2.y); /* The projection of the edge on the horizontal axis */ pleft = MIN (p1->x, p2->x); pright = MAX (p1->x, p2->x); if (limits->p1.x <= pleft && pright <= limits->p2.x) { /* Projection of the edge completely contained in the box: * clip vertically by restricting top and bottom */ _add_edge (polygon, p1, p2, top_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); } else if (pright <= limits->p1.x) { /* Projection of the edge to the left of the box: * replace with the left side of the box (clipped top/bottom) */ _add_edge (polygon, &limits->p1, &bot_left, top_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); } else if (limits->p2.x <= pleft) { /* Projection of the edge to the right of the box: * replace with the right side of the box (clipped top/bottom) */ _add_edge (polygon, &top_right, &limits->p2, top_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); } else { /* The edge and the box intersect in a generic way */ cairo_fixed_t left_y, right_y; cairo_bool_t top_left_to_bottom_right; /* * The edge intersects the lines corresponding to the left * and right sides of the limit box at left_y and right_y, * but we need to add edges for the range from top_y to * bot_y. * * For both intersections, there are three cases: * * 1) It is outside the vertical range of the limit * box. In this case we can simply further clip the * edge we will be emitting (i.e. restrict its * top/bottom limits to those of the limit box). * * 2) It is inside the vertical range of the limit * box. In this case, we need to add the vertical edge * connecting the correct vertex to the intersection, * in order to preserve the winding count. * * 3) It is exactly on the box. In this case, do nothing. * * These operations restrict the active range (stored in * top_y/bot_y) so that the p1-p2 edge is completely * inside the box if it is clipped to this vertical range. */ top_left_to_bottom_right = (p1->x <= p2->x) == (p1->y <= p2->y); if (top_left_to_bottom_right) { if (pleft >= limits->p1.x) { left_y = top_y; } else { left_y = _cairo_edge_compute_intersection_y_for_x (p1, p2, limits->p1.x); if (_cairo_edge_compute_intersection_x_for_y (p1, p2, left_y) < limits->p1.x) left_y++; } left_y = MIN (left_y, bot_y); if (top_y < left_y) { _add_edge (polygon, &limits->p1, &bot_left, top_y, left_y, dir); assert_last_edge_is_valid (polygon, limits); top_y = left_y; } if (pright <= limits->p2.x) { right_y = bot_y; } else { right_y = _cairo_edge_compute_intersection_y_for_x (p1, p2, limits->p2.x); if (_cairo_edge_compute_intersection_x_for_y (p1, p2, right_y) > limits->p2.x) right_y--; } right_y = MAX (right_y, top_y); if (bot_y > right_y) { _add_edge (polygon, &top_right, &limits->p2, right_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); bot_y = right_y; } } else { if (pright <= limits->p2.x) { right_y = top_y; } else { right_y = _cairo_edge_compute_intersection_y_for_x (p1, p2, limits->p2.x); if (_cairo_edge_compute_intersection_x_for_y (p1, p2, right_y) > limits->p2.x) right_y++; } right_y = MIN (right_y, bot_y); if (top_y < right_y) { _add_edge (polygon, &top_right, &limits->p2, top_y, right_y, dir); assert_last_edge_is_valid (polygon, limits); top_y = right_y; } if (pleft >= limits->p1.x) { left_y = bot_y; } else { left_y = _cairo_edge_compute_intersection_y_for_x (p1, p2, limits->p1.x); if (_cairo_edge_compute_intersection_x_for_y (p1, p2, left_y) < limits->p1.x) left_y--; } left_y = MAX (left_y, top_y); if (bot_y > left_y) { _add_edge (polygon, &limits->p1, &bot_left, left_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); bot_y = left_y; } } if (top_y != bot_y) { _add_edge (polygon, p1, p2, top_y, bot_y, dir); assert_last_edge_is_valid (polygon, limits); } } } } static void _cairo_polygon_add_edge (cairo_polygon_t *polygon, const cairo_point_t *p1, const cairo_point_t *p2, int dir) { /* drop horizontal edges */ if (p1->y == p2->y) return; if (p1->y > p2->y) { const cairo_point_t *t; t = p1, p1 = p2, p2 = t; dir = -dir; } if (polygon->num_limits) { if (p2->y <= polygon->limit.p1.y) return; if (p1->y >= polygon->limit.p2.y) return; _add_clipped_edge (polygon, p1, p2, p1->y, p2->y, dir); } else _add_edge (polygon, p1, p2, p1->y, p2->y, dir); } cairo_status_t _cairo_polygon_add_external_edge (void *polygon, const cairo_point_t *p1, const cairo_point_t *p2) { _cairo_polygon_add_edge (polygon, p1, p2, 1); return _cairo_polygon_status (polygon); } cairo_status_t _cairo_polygon_add_line (cairo_polygon_t *polygon, const cairo_line_t *line, int top, int bottom, int dir) { /* drop horizontal edges */ if (line->p1.y == line->p2.y) return CAIRO_STATUS_SUCCESS; if (bottom <= top) return CAIRO_STATUS_SUCCESS; if (polygon->num_limits) { if (line->p2.y <= polygon->limit.p1.y) return CAIRO_STATUS_SUCCESS; if (line->p1.y >= polygon->limit.p2.y) return CAIRO_STATUS_SUCCESS; _add_clipped_edge (polygon, &line->p1, &line->p2, top, bottom, dir); } else _add_edge (polygon, &line->p1, &line->p2, top, bottom, dir); return polygon->status; } cairo_status_t _cairo_polygon_add_contour (cairo_polygon_t *polygon, const cairo_contour_t *contour) { const struct _cairo_contour_chain *chain; const cairo_point_t *prev = NULL; int i; if (contour->chain.num_points <= 1) return CAIRO_INT_STATUS_SUCCESS; prev = &contour->chain.points[0]; for (chain = &contour->chain; chain; chain = chain->next) { for (i = 0; i < chain->num_points; i++) { _cairo_polygon_add_edge (polygon, prev, &chain->points[i], contour->direction); prev = &chain->points[i]; } } return polygon->status; } void _cairo_polygon_translate (cairo_polygon_t *polygon, int dx, int dy) { int n; dx = _cairo_fixed_from_int (dx); dy = _cairo_fixed_from_int (dy); polygon->extents.p1.x += dx; polygon->extents.p2.x += dx; polygon->extents.p1.y += dy; polygon->extents.p2.y += dy; for (n = 0; n < polygon->num_edges; n++) { cairo_edge_t *e = &polygon->edges[n]; e->top += dy; e->bottom += dy; e->line.p1.x += dx; e->line.p2.x += dx; e->line.p1.y += dy; e->line.p2.y += dy; } }