beta-0.89.2

[luatex.git] / source / libs / cairo / cairo-src / src / cairo-path-fixed.c

/* -*- 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.
  *
 * 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"
#include "cairo-error-private.h"
#include "cairo-list-inline.h"
#include "cairo-path-fixed-private.h"
#include "cairo-slope-private.h"

static cairo_status_t
_cairo_path_fixed_add (cairo_path_fixed_t  *path,
                       cairo_path_op_t      op,
                       const cairo_point_t *points,
                       int                  num_points);

static void
_cairo_path_fixed_add_buf (cairo_path_fixed_t *path,
                           cairo_path_buf_t   *buf);

static cairo_path_buf_t *
_cairo_path_buf_create (int size_ops, int size_points);

static void
_cairo_path_buf_destroy (cairo_path_buf_t *buf);

static void
_cairo_path_buf_add_op (cairo_path_buf_t *buf,
                        cairo_path_op_t   op);

static void
_cairo_path_buf_add_points (cairo_path_buf_t       *buf,
                            const cairo_point_t    *points,
                            int                     num_points);

void
_cairo_path_fixed_init (cairo_path_fixed_t *path)
{
    VG (VALGRIND_MAKE_MEM_UNDEFINED (path, sizeof (cairo_path_fixed_t)));

    cairo_list_init (&path->buf.base.link);

    path->buf.base.num_ops = 0;
    path->buf.base.num_points = 0;
    path->buf.base.size_ops = ARRAY_LENGTH (path->buf.op);
    path->buf.base.size_points = ARRAY_LENGTH (path->buf.points);
    path->buf.base.op = path->buf.op;
    path->buf.base.points = path->buf.points;

    path->current_point.x = 0;
    path->current_point.y = 0;
    path->last_move_point = path->current_point;

    path->has_current_point = FALSE;
    path->needs_move_to = TRUE;
    path->has_extents = FALSE;
    path->has_curve_to = FALSE;
    path->stroke_is_rectilinear = TRUE;
    path->fill_is_rectilinear = TRUE;
    path->fill_maybe_region = TRUE;
    path->fill_is_empty = TRUE;

    path->extents.p1.x = path->extents.p1.y = 0;
    path->extents.p2.x = path->extents.p2.y = 0;
}

cairo_status_t
_cairo_path_fixed_init_copy (cairo_path_fixed_t *path,
                             const cairo_path_fixed_t *other)
{
    cairo_path_buf_t *buf, *other_buf;
    unsigned int num_points, num_ops;

    VG (VALGRIND_MAKE_MEM_UNDEFINED (path, sizeof (cairo_path_fixed_t)));

    cairo_list_init (&path->buf.base.link);

    path->buf.base.op = path->buf.op;
    path->buf.base.points = path->buf.points;
    path->buf.base.size_ops = ARRAY_LENGTH (path->buf.op);
    path->buf.base.size_points = ARRAY_LENGTH (path->buf.points);

    path->current_point = other->current_point;
    path->last_move_point = other->last_move_point;

    path->has_current_point = other->has_current_point;
    path->needs_move_to = other->needs_move_to;
    path->has_extents = other->has_extents;
    path->has_curve_to = other->has_curve_to;
    path->stroke_is_rectilinear = other->stroke_is_rectilinear;
    path->fill_is_rectilinear = other->fill_is_rectilinear;
    path->fill_maybe_region = other->fill_maybe_region;
    path->fill_is_empty = other->fill_is_empty;

    path->extents = other->extents;

    path->buf.base.num_ops = other->buf.base.num_ops;
    path->buf.base.num_points = other->buf.base.num_points;
    memcpy (path->buf.op, other->buf.base.op,
            other->buf.base.num_ops * sizeof (other->buf.op[0]));
    memcpy (path->buf.points, other->buf.points,
            other->buf.base.num_points * sizeof (other->buf.points[0]));

    num_points = num_ops = 0;
    for (other_buf = cairo_path_buf_next (cairo_path_head (other));
         other_buf != cairo_path_head (other);
         other_buf = cairo_path_buf_next (other_buf))
    {
        num_ops    += other_buf->num_ops;
        num_points += other_buf->num_points;
    }

    if (num_ops) {
        buf = _cairo_path_buf_create (num_ops, num_points);
        if (unlikely (buf == NULL)) {
            _cairo_path_fixed_fini (path);
            return _cairo_error (CAIRO_STATUS_NO_MEMORY);
        }

        for (other_buf = cairo_path_buf_next (cairo_path_head (other));
             other_buf != cairo_path_head (other);
             other_buf = cairo_path_buf_next (other_buf))
        {
            memcpy (buf->op + buf->num_ops, other_buf->op,
                    other_buf->num_ops * sizeof (buf->op[0]));
            buf->num_ops += other_buf->num_ops;

            memcpy (buf->points + buf->num_points, other_buf->points,
                    other_buf->num_points * sizeof (buf->points[0]));
            buf->num_points += other_buf->num_points;
        }

        _cairo_path_fixed_add_buf (path, buf);
    }

    return CAIRO_STATUS_SUCCESS;
}

unsigned long
_cairo_path_fixed_hash (const cairo_path_fixed_t *path)
{
    unsigned long hash = _CAIRO_HASH_INIT_VALUE;
    const cairo_path_buf_t *buf;
    unsigned int count;

    count = 0;
    cairo_path_foreach_buf_start (buf, path) {
        hash = _cairo_hash_bytes (hash, buf->op,
                                  buf->num_ops * sizeof (buf->op[0]));
        count += buf->num_ops;
    } cairo_path_foreach_buf_end (buf, path);
    hash = _cairo_hash_bytes (hash, &count, sizeof (count));

    count = 0;
    cairo_path_foreach_buf_start (buf, path) {
        hash = _cairo_hash_bytes (hash, buf->points,
                                  buf->num_points * sizeof (buf->points[0]));
        count += buf->num_points;
    } cairo_path_foreach_buf_end (buf, path);
    hash = _cairo_hash_bytes (hash, &count, sizeof (count));

    return hash;
}

unsigned long
_cairo_path_fixed_size (const cairo_path_fixed_t *path)
{
    const cairo_path_buf_t *buf;
    int num_points, num_ops;

    num_ops = num_points = 0;
    cairo_path_foreach_buf_start (buf, path) {
        num_ops    += buf->num_ops;
        num_points += buf->num_points;
    } cairo_path_foreach_buf_end (buf, path);

    return num_ops * sizeof (buf->op[0]) +
           num_points * sizeof (buf->points[0]);
}

cairo_bool_t
_cairo_path_fixed_equal (const cairo_path_fixed_t *a,
                         const cairo_path_fixed_t *b)
{
    const cairo_path_buf_t *buf_a, *buf_b;
    const cairo_path_op_t *ops_a, *ops_b;
    const cairo_point_t *points_a, *points_b;
    int num_points_a, num_ops_a;
    int num_points_b, num_ops_b;

    if (a == b)
        return TRUE;

    /* use the flags to quickly differentiate based on contents */
    if (a->has_curve_to != b->has_curve_to)
    {
        return FALSE;
    }

    if (a->extents.p1.x != b->extents.p1.x ||
        a->extents.p1.y != b->extents.p1.y ||
        a->extents.p2.x != b->extents.p2.x ||
        a->extents.p2.y != b->extents.p2.y)
    {
        return FALSE;
    }

    num_ops_a = num_points_a = 0;
    cairo_path_foreach_buf_start (buf_a, a) {
        num_ops_a    += buf_a->num_ops;
        num_points_a += buf_a->num_points;
    } cairo_path_foreach_buf_end (buf_a, a);

    num_ops_b = num_points_b = 0;
    cairo_path_foreach_buf_start (buf_b, b) {
        num_ops_b    += buf_b->num_ops;
        num_points_b += buf_b->num_points;
    } cairo_path_foreach_buf_end (buf_b, b);

    if (num_ops_a == 0 && num_ops_b == 0)
        return TRUE;

    if (num_ops_a != num_ops_b || num_points_a != num_points_b)
        return FALSE;

    buf_a = cairo_path_head (a);
    num_points_a = buf_a->num_points;
    num_ops_a = buf_a->num_ops;
    ops_a = buf_a->op;
    points_a = buf_a->points;

    buf_b = cairo_path_head (b);
    num_points_b = buf_b->num_points;
    num_ops_b = buf_b->num_ops;
    ops_b = buf_b->op;
    points_b = buf_b->points;

    while (TRUE) {
        int num_ops = MIN (num_ops_a, num_ops_b);
        int num_points = MIN (num_points_a, num_points_b);

        if (memcmp (ops_a, ops_b, num_ops * sizeof (cairo_path_op_t)))
            return FALSE;
        if (memcmp (points_a, points_b, num_points * sizeof (cairo_point_t)))
            return FALSE;

        num_ops_a -= num_ops;
        ops_a += num_ops;
        num_points_a -= num_points;
        points_a += num_points;
        if (num_ops_a == 0 || num_points_a == 0) {
            if (num_ops_a || num_points_a)
                return FALSE;

            buf_a = cairo_path_buf_next (buf_a);
            if (buf_a == cairo_path_head (a))
                break;

            num_points_a = buf_a->num_points;
            num_ops_a = buf_a->num_ops;
            ops_a = buf_a->op;
            points_a = buf_a->points;
        }

        num_ops_b -= num_ops;
        ops_b += num_ops;
        num_points_b -= num_points;
        points_b += num_points;
        if (num_ops_b == 0 || num_points_b == 0) {
            if (num_ops_b || num_points_b)
                return FALSE;

            buf_b = cairo_path_buf_next (buf_b);
            if (buf_b == cairo_path_head (b))
                break;

            num_points_b = buf_b->num_points;
            num_ops_b = buf_b->num_ops;
            ops_b = buf_b->op;
            points_b = buf_b->points;
        }
    }

    return TRUE;
}

cairo_path_fixed_t *
_cairo_path_fixed_create (void)
{
    cairo_path_fixed_t  *path;

    path = malloc (sizeof (cairo_path_fixed_t));
    if (!path) {
        _cairo_error_throw (CAIRO_STATUS_NO_MEMORY);
        return NULL;
    }

    _cairo_path_fixed_init (path);
    return path;
}

void
_cairo_path_fixed_fini (cairo_path_fixed_t *path)
{
    cairo_path_buf_t *buf;

    buf = cairo_path_buf_next (cairo_path_head (path));
    while (buf != cairo_path_head (path)) {
        cairo_path_buf_t *this = buf;
        buf = cairo_path_buf_next (buf);
        _cairo_path_buf_destroy (this);
    }

    VG (VALGRIND_MAKE_MEM_NOACCESS (path, sizeof (cairo_path_fixed_t)));
}

void
_cairo_path_fixed_destroy (cairo_path_fixed_t *path)
{
    _cairo_path_fixed_fini (path);
    free (path);
}

static cairo_path_op_t
_cairo_path_fixed_last_op (cairo_path_fixed_t *path)
{
    cairo_path_buf_t *buf;

    buf = cairo_path_tail (path);
    assert (buf->num_ops != 0);

    return buf->op[buf->num_ops - 1];
}

static inline const cairo_point_t *
_cairo_path_fixed_penultimate_point (cairo_path_fixed_t *path)
{
    cairo_path_buf_t *buf;

    buf = cairo_path_tail (path);
    if (likely (buf->num_points >= 2)) {
        return &buf->points[buf->num_points - 2];
    } else {
        cairo_path_buf_t *prev_buf = cairo_path_buf_prev (buf);

        assert (prev_buf->num_points >= 2 - buf->num_points);
        return &prev_buf->points[prev_buf->num_points - (2 - buf->num_points)];
    }
}

static void
_cairo_path_fixed_drop_line_to (cairo_path_fixed_t *path)
{
    cairo_path_buf_t *buf;

    assert (_cairo_path_fixed_last_op (path) == CAIRO_PATH_OP_LINE_TO);

    buf = cairo_path_tail (path);
    buf->num_points--;
    buf->num_ops--;
}

cairo_status_t
_cairo_path_fixed_move_to (cairo_path_fixed_t  *path,
                           cairo_fixed_t        x,
                           cairo_fixed_t        y)
{
    _cairo_path_fixed_new_sub_path (path);

    path->has_current_point = TRUE;
    path->current_point.x = x;
    path->current_point.y = y;
    path->last_move_point = path->current_point;

    return CAIRO_STATUS_SUCCESS;
}

static cairo_status_t
_cairo_path_fixed_move_to_apply (cairo_path_fixed_t  *path)
{
    if (likely (! path->needs_move_to))
        return CAIRO_STATUS_SUCCESS;

    path->needs_move_to = FALSE;

    if (path->has_extents) {
        _cairo_box_add_point (&path->extents, &path->current_point);
    } else {
        _cairo_box_set (&path->extents, &path->current_point, &path->current_point);
        path->has_extents = TRUE;
    }

    if (path->fill_maybe_region) {
        path->fill_maybe_region = _cairo_fixed_is_integer (path->current_point.x) &&
                                  _cairo_fixed_is_integer (path->current_point.y);
    }

    path->last_move_point = path->current_point;

    return _cairo_path_fixed_add (path, CAIRO_PATH_OP_MOVE_TO, &path->current_point, 1);
}

void
_cairo_path_fixed_new_sub_path (cairo_path_fixed_t *path)
{
    if (! path->needs_move_to) {
        /* If the current subpath doesn't need_move_to, it contains at least one command */
        if (path->fill_is_rectilinear) {
            /* Implicitly close for fill */
            path->fill_is_rectilinear = path->current_point.x == path->last_move_point.x ||
                                        path->current_point.y == path->last_move_point.y;
            path->fill_maybe_region &= path->fill_is_rectilinear;
        }
        path->needs_move_to = TRUE;
    }

    path->has_current_point = FALSE;
}

cairo_status_t
_cairo_path_fixed_rel_move_to (cairo_path_fixed_t *path,
                               cairo_fixed_t       dx,
                               cairo_fixed_t       dy)
{
    if (unlikely (! path->has_current_point))
        return _cairo_error (CAIRO_STATUS_NO_CURRENT_POINT);

    return _cairo_path_fixed_move_to (path,
                                      path->current_point.x + dx,
                                      path->current_point.y + dy);

}

cairo_status_t
_cairo_path_fixed_line_to (cairo_path_fixed_t *path,
                           cairo_fixed_t        x,
                           cairo_fixed_t        y)
{
    cairo_status_t status;
    cairo_point_t point;

    point.x = x;
    point.y = y;

    /* When there is not yet a current point, the line_to operation
     * becomes a move_to instead. Note: We have to do this by
     * explicitly calling into _cairo_path_fixed_move_to to ensure
     * that the last_move_point state is updated properly.
     */
    if (! path->has_current_point)
        return _cairo_path_fixed_move_to (path, point.x, point.y);

    status = _cairo_path_fixed_move_to_apply (path);
    if (unlikely (status))
        return status;

    /* If the previous op was but the initial MOVE_TO and this segment
     * is degenerate, then we can simply skip this point. Note that
     * a move-to followed by a degenerate line-to is a valid path for
     * stroking, but at all other times is simply a degenerate segment.
     */
    if (_cairo_path_fixed_last_op (path) != CAIRO_PATH_OP_MOVE_TO) {
        if (x == path->current_point.x && y == path->current_point.y)
            return CAIRO_STATUS_SUCCESS;
    }

    /* If the previous op was also a LINE_TO with the same gradient,
     * then just change its end-point rather than adding a new op.
     */
    if (_cairo_path_fixed_last_op (path) == CAIRO_PATH_OP_LINE_TO) {
        const cairo_point_t *p;

        p = _cairo_path_fixed_penultimate_point (path);
        if (p->x == path->current_point.x && p->y == path->current_point.y) {
            /* previous line element was degenerate, replace */
            _cairo_path_fixed_drop_line_to (path);
        } else {
            cairo_slope_t prev, self;

            _cairo_slope_init (&prev, p, &path->current_point);
            _cairo_slope_init (&self, &path->current_point, &point);
            if (_cairo_slope_equal (&prev, &self) &&
                /* cannot trim anti-parallel segments whilst stroking */
                ! _cairo_slope_backwards (&prev, &self))
            {
                _cairo_path_fixed_drop_line_to (path);
                /* In this case the flags might be more restrictive than
                 * what we actually need.
                 * When changing the flags definition we should check if
                 * changing the line_to point can affect them.
                */
            }
        }
    }

    if (path->stroke_is_rectilinear) {
        path->stroke_is_rectilinear = path->current_point.x == x ||
                                      path->current_point.y == y;
        path->fill_is_rectilinear &= path->stroke_is_rectilinear;
        path->fill_maybe_region &= path->fill_is_rectilinear;
        if (path->fill_maybe_region) {
            path->fill_maybe_region = _cairo_fixed_is_integer (x) &&
                                      _cairo_fixed_is_integer (y);
        }
        if (path->fill_is_empty) {
            path->fill_is_empty = path->current_point.x == x &&
                                  path->current_point.y == y;
        }
    }

    path->current_point = point;

    _cairo_box_add_point (&path->extents, &point);

    return _cairo_path_fixed_add (path, CAIRO_PATH_OP_LINE_TO, &point, 1);
}

cairo_status_t
_cairo_path_fixed_rel_line_to (cairo_path_fixed_t *path,
                               cairo_fixed_t       dx,
                               cairo_fixed_t       dy)
{
    if (unlikely (! path->has_current_point))
        return _cairo_error (CAIRO_STATUS_NO_CURRENT_POINT);

    return _cairo_path_fixed_line_to (path,
                                      path->current_point.x + dx,
                                      path->current_point.y + dy);
}

cairo_status_t
_cairo_path_fixed_curve_to (cairo_path_fixed_t  *path,
                            cairo_fixed_t x0, cairo_fixed_t y0,
                            cairo_fixed_t x1, cairo_fixed_t y1,
                            cairo_fixed_t x2, cairo_fixed_t y2)
{
    cairo_status_t status;
    cairo_point_t point[3];

    /* If this curves does not move, replace it with a line-to.
     * This frequently happens with rounded-rectangles and r==0.
    */
    if (path->current_point.x == x2 && path->current_point.y == y2) {
        if (x1 == x2 && x0 == x2 && y1 == y2 && y0 == y2)
            return _cairo_path_fixed_line_to (path, x2, y2);

        /* We may want to check for the absence of a cusp, in which case
         * we can also replace the curve-to with a line-to.
         */
    }

    /* make sure subpaths are started properly */
    if (! path->has_current_point) {
        status = _cairo_path_fixed_move_to (path, x0, y0);
        assert (status == CAIRO_STATUS_SUCCESS);
    }

    status = _cairo_path_fixed_move_to_apply (path);
    if (unlikely (status))
        return status;

    /* If the previous op was a degenerate LINE_TO, drop it. */
    if (_cairo_path_fixed_last_op (path) == CAIRO_PATH_OP_LINE_TO) {
        const cairo_point_t *p;

        p = _cairo_path_fixed_penultimate_point (path);
        if (p->x == path->current_point.x && p->y == path->current_point.y) {
            /* previous line element was degenerate, replace */
            _cairo_path_fixed_drop_line_to (path);
        }
    }

    point[0].x = x0; point[0].y = y0;
    point[1].x = x1; point[1].y = y1;
    point[2].x = x2; point[2].y = y2;

    _cairo_box_add_curve_to (&path->extents, &path->current_point,
                             &point[0], &point[1], &point[2]);

    path->current_point = point[2];
    path->has_curve_to = TRUE;
    path->stroke_is_rectilinear = FALSE;
    path->fill_is_rectilinear = FALSE;
    path->fill_maybe_region = FALSE;
    path->fill_is_empty = FALSE;

    return _cairo_path_fixed_add (path, CAIRO_PATH_OP_CURVE_TO, point, 3);
}

cairo_status_t
_cairo_path_fixed_rel_curve_to (cairo_path_fixed_t *path,
                                cairo_fixed_t dx0, cairo_fixed_t dy0,
                                cairo_fixed_t dx1, cairo_fixed_t dy1,
                                cairo_fixed_t dx2, cairo_fixed_t dy2)
{
    if (unlikely (! path->has_current_point))
        return _cairo_error (CAIRO_STATUS_NO_CURRENT_POINT);

    return _cairo_path_fixed_curve_to (path,
                                       path->current_point.x + dx0,
                                       path->current_point.y + dy0,

                                       path->current_point.x + dx1,
                                       path->current_point.y + dy1,

                                       path->current_point.x + dx2,
                                       path->current_point.y + dy2);
}

cairo_status_t
_cairo_path_fixed_close_path (cairo_path_fixed_t *path)
{
    cairo_status_t status;

    if (! path->has_current_point)
        return CAIRO_STATUS_SUCCESS;

    /*
     * Add a line_to, to compute flags and solve any degeneracy.
     * It will be removed later (if it was actually added).
     */
    status = _cairo_path_fixed_line_to (path,
                                        path->last_move_point.x,
                                        path->last_move_point.y);
    if (unlikely (status))
        return status;

    /*
     * If the command used to close the path is a line_to, drop it.
     * We must check that last command is actually a line_to,
     * because the path could have been closed with a curve_to (and
     * the previous line_to not added as it would be degenerate).
     */
    if (_cairo_path_fixed_last_op (path) == CAIRO_PATH_OP_LINE_TO)
            _cairo_path_fixed_drop_line_to (path);

    path->needs_move_to = TRUE; /* After close_path, add an implicit move_to */

    return _cairo_path_fixed_add (path, CAIRO_PATH_OP_CLOSE_PATH, NULL, 0);
}

cairo_bool_t
_cairo_path_fixed_get_current_point (cairo_path_fixed_t *path,
                                     cairo_fixed_t      *x,
                                     cairo_fixed_t      *y)
{
    if (! path->has_current_point)
        return FALSE;

    *x = path->current_point.x;
    *y = path->current_point.y;

    return TRUE;
}

static cairo_status_t
_cairo_path_fixed_add (cairo_path_fixed_t   *path,
                       cairo_path_op_t       op,
                       const cairo_point_t  *points,
                       int                   num_points)
{
    cairo_path_buf_t *buf = cairo_path_tail (path);

    if (buf->num_ops + 1 > buf->size_ops ||
        buf->num_points + num_points > buf->size_points)
    {
        buf = _cairo_path_buf_create (buf->num_ops * 2, buf->num_points * 2);
        if (unlikely (buf == NULL))
            return _cairo_error (CAIRO_STATUS_NO_MEMORY);

        _cairo_path_fixed_add_buf (path, buf);
    }

    if (WATCH_PATH) {
        const char *op_str[] = {
            "move-to",
            "line-to",
            "curve-to",
            "close-path",
        };
        char buf[1024];
        int len = 0;
        int i;

        len += snprintf (buf + len, sizeof (buf), "[");
        for (i = 0; i < num_points; i++) {
            if (i != 0)
                len += snprintf (buf + len, sizeof (buf), " ");
            len += snprintf (buf + len, sizeof (buf), "(%f, %f)",
                             _cairo_fixed_to_double (points[i].x),
                             _cairo_fixed_to_double (points[i].y));
        }
        len += snprintf (buf + len, sizeof (buf), "]");

#define STRINGIFYFLAG(x)  (path->x ? #x " " : "")
        fprintf (stderr,
                 "_cairo_path_fixed_add (%s, %s) [%s%s%s%s%s%s%s%s]\n",
                 op_str[(int) op], buf,
                 STRINGIFYFLAG(has_current_point),
                 STRINGIFYFLAG(needs_move_to),
                 STRINGIFYFLAG(has_extents),
                 STRINGIFYFLAG(has_curve_to),
                 STRINGIFYFLAG(stroke_is_rectilinear),
                 STRINGIFYFLAG(fill_is_rectilinear),
                 STRINGIFYFLAG(fill_is_empty),
                 STRINGIFYFLAG(fill_maybe_region)
                 );
#undef STRINGIFYFLAG
    }

    _cairo_path_buf_add_op (buf, op);
    _cairo_path_buf_add_points (buf, points, num_points);

    return CAIRO_STATUS_SUCCESS;
}

static void
_cairo_path_fixed_add_buf (cairo_path_fixed_t *path,
                           cairo_path_buf_t   *buf)
{
    cairo_list_add_tail (&buf->link, &cairo_path_head (path)->link);
}

COMPILE_TIME_ASSERT (sizeof (cairo_path_op_t) == 1);
static cairo_path_buf_t *
_cairo_path_buf_create (int size_ops, int size_points)
{
    cairo_path_buf_t *buf;

    /* adjust size_ops to ensure that buf->points is naturally aligned */
    size_ops += sizeof (double) - ((sizeof (cairo_path_buf_t) + size_ops) % sizeof (double));
    buf = _cairo_malloc_ab_plus_c (size_points, sizeof (cairo_point_t), size_ops + sizeof (cairo_path_buf_t));
    if (buf) {
        buf->num_ops = 0;
        buf->num_points = 0;
        buf->size_ops = size_ops;
        buf->size_points = size_points;

        buf->op = (cairo_path_op_t *) (buf + 1);
        buf->points = (cairo_point_t *) (buf->op + size_ops);
    }

    return buf;
}

static void
_cairo_path_buf_destroy (cairo_path_buf_t *buf)
{
    free (buf);
}

static void
_cairo_path_buf_add_op (cairo_path_buf_t *buf,
                        cairo_path_op_t   op)
{
    buf->op[buf->num_ops++] = op;
}

static void
_cairo_path_buf_add_points (cairo_path_buf_t       *buf,
                            const cairo_point_t    *points,
                            int                     num_points)
{
    if (num_points == 0)
        return;

    memcpy (buf->points + buf->num_points,
            points,
            sizeof (points[0]) * num_points);
    buf->num_points += num_points;
}

cairo_status_t
_cairo_path_fixed_interpret (const cairo_path_fixed_t           *path,
                             cairo_path_fixed_move_to_func_t    *move_to,
                             cairo_path_fixed_line_to_func_t    *line_to,
                             cairo_path_fixed_curve_to_func_t   *curve_to,
                             cairo_path_fixed_close_path_func_t *close_path,
                             void                               *closure)
{
    const cairo_path_buf_t *buf;
    cairo_status_t status;

    cairo_path_foreach_buf_start (buf, path) {
        const cairo_point_t *points = buf->points;
        unsigned int i;

        for (i = 0; i < buf->num_ops; i++) {
            switch (buf->op[i]) {
            case CAIRO_PATH_OP_MOVE_TO:
                status = (*move_to) (closure, &points[0]);
                points += 1;
                break;
            case CAIRO_PATH_OP_LINE_TO:
                status = (*line_to) (closure, &points[0]);
                points += 1;
                break;
            case CAIRO_PATH_OP_CURVE_TO:
                status = (*curve_to) (closure, &points[0], &points[1], &points[2]);
                points += 3;
                break;
            default:
                ASSERT_NOT_REACHED;
            case CAIRO_PATH_OP_CLOSE_PATH:
                status = (*close_path) (closure);
                break;
            }

            if (unlikely (status))
                return status;
        }
    } cairo_path_foreach_buf_end (buf, path);

    if (path->needs_move_to && path->has_current_point)
        return (*move_to) (closure, &path->current_point);

    return CAIRO_STATUS_SUCCESS;
}

typedef struct _cairo_path_fixed_append_closure {
    cairo_point_t           offset;
    cairo_path_fixed_t      *path;
} cairo_path_fixed_append_closure_t;

static cairo_status_t
_append_move_to (void            *abstract_closure,
                 const cairo_point_t  *point)
{
    cairo_path_fixed_append_closure_t   *closure = abstract_closure;

    return _cairo_path_fixed_move_to (closure->path,
                                      point->x + closure->offset.x,
                                      point->y + closure->offset.y);
}

static cairo_status_t
_append_line_to (void            *abstract_closure,
                 const cairo_point_t *point)
{
    cairo_path_fixed_append_closure_t   *closure = abstract_closure;

    return _cairo_path_fixed_line_to (closure->path,
                                      point->x + closure->offset.x,
                                      point->y + closure->offset.y);
}

static cairo_status_t
_append_curve_to (void    *abstract_closure,
                  const cairo_point_t *p0,
                  const cairo_point_t *p1,
                  const cairo_point_t *p2)
{
    cairo_path_fixed_append_closure_t   *closure = abstract_closure;

    return _cairo_path_fixed_curve_to (closure->path,
                                       p0->x + closure->offset.x,
                                       p0->y + closure->offset.y,
                                       p1->x + closure->offset.x,
                                       p1->y + closure->offset.y,
                                       p2->x + closure->offset.x,
                                       p2->y + closure->offset.y);
}

static cairo_status_t
_append_close_path (void *abstract_closure)
{
    cairo_path_fixed_append_closure_t   *closure = abstract_closure;

    return _cairo_path_fixed_close_path (closure->path);
}

cairo_status_t
_cairo_path_fixed_append (cairo_path_fixed_t                *path,
                          const cairo_path_fixed_t          *other,
                          cairo_fixed_t                      tx,
                          cairo_fixed_t                      ty)
{
    cairo_path_fixed_append_closure_t closure;

    closure.path = path;
    closure.offset.x = tx;
    closure.offset.y = ty;

    return _cairo_path_fixed_interpret (other,
                                        _append_move_to,
                                        _append_line_to,
                                        _append_curve_to,
                                        _append_close_path,
                                        &closure);
}

static void
_cairo_path_fixed_offset_and_scale (cairo_path_fixed_t *path,
                                    cairo_fixed_t offx,
                                    cairo_fixed_t offy,
                                    cairo_fixed_t scalex,
                                    cairo_fixed_t scaley)
{
    cairo_path_buf_t *buf;
    unsigned int i;

    if (scalex == CAIRO_FIXED_ONE && scaley == CAIRO_FIXED_ONE) {
        _cairo_path_fixed_translate (path, offx, offy);
        return;
    }

    path->last_move_point.x = _cairo_fixed_mul (scalex, path->last_move_point.x) + offx;
    path->last_move_point.y = _cairo_fixed_mul (scaley, path->last_move_point.y) + offy;
    path->current_point.x   = _cairo_fixed_mul (scalex, path->current_point.x) + offx;
    path->current_point.y   = _cairo_fixed_mul (scaley, path->current_point.y) + offy;

    path->fill_maybe_region = TRUE;

    cairo_path_foreach_buf_start (buf, path) {
         for (i = 0; i < buf->num_points; i++) {
             if (scalex != CAIRO_FIXED_ONE)
                 buf->points[i].x = _cairo_fixed_mul (buf->points[i].x, scalex);
             buf->points[i].x += offx;

             if (scaley != CAIRO_FIXED_ONE)
                 buf->points[i].y = _cairo_fixed_mul (buf->points[i].y, scaley);
             buf->points[i].y += offy;

            if (path->fill_maybe_region) {
                path->fill_maybe_region = _cairo_fixed_is_integer (buf->points[i].x) &&
                                          _cairo_fixed_is_integer (buf->points[i].y);
            }
         }
    } cairo_path_foreach_buf_end (buf, path);

    path->fill_maybe_region &= path->fill_is_rectilinear;

    path->extents.p1.x = _cairo_fixed_mul (scalex, path->extents.p1.x) + offx;
    path->extents.p2.x = _cairo_fixed_mul (scalex, path->extents.p2.x) + offx;
    if (scalex < 0) {
        cairo_fixed_t t = path->extents.p1.x;
        path->extents.p1.x = path->extents.p2.x;
        path->extents.p2.x = t;
    }

    path->extents.p1.y = _cairo_fixed_mul (scaley, path->extents.p1.y) + offy;
    path->extents.p2.y = _cairo_fixed_mul (scaley, path->extents.p2.y) + offy;
    if (scaley < 0) {
        cairo_fixed_t t = path->extents.p1.y;
        path->extents.p1.y = path->extents.p2.y;
        path->extents.p2.y = t;
    }
}

void
_cairo_path_fixed_translate (cairo_path_fixed_t *path,
                             cairo_fixed_t offx,
                             cairo_fixed_t offy)
{
    cairo_path_buf_t *buf;
    unsigned int i;

    if (offx == 0 && offy == 0)
        return;

    path->last_move_point.x += offx;
    path->last_move_point.y += offy;
    path->current_point.x += offx;
    path->current_point.y += offy;

    path->fill_maybe_region = TRUE;

    cairo_path_foreach_buf_start (buf, path) {
        for (i = 0; i < buf->num_points; i++) {
            buf->points[i].x += offx;
            buf->points[i].y += offy;

            if (path->fill_maybe_region) {
                path->fill_maybe_region = _cairo_fixed_is_integer (buf->points[i].x) &&
                                          _cairo_fixed_is_integer (buf->points[i].y);
            }
         }
    } cairo_path_foreach_buf_end (buf, path);

    path->fill_maybe_region &= path->fill_is_rectilinear;

    path->extents.p1.x += offx;
    path->extents.p1.y += offy;
    path->extents.p2.x += offx;
    path->extents.p2.y += offy;
}


static inline void
_cairo_path_fixed_transform_point (cairo_point_t *p,
                                   const cairo_matrix_t *matrix)
{
    double dx, dy;

    dx = _cairo_fixed_to_double (p->x);
    dy = _cairo_fixed_to_double (p->y);
    cairo_matrix_transform_point (matrix, &dx, &dy);
    p->x = _cairo_fixed_from_double (dx);
    p->y = _cairo_fixed_from_double (dy);
}

/**
 * _cairo_path_fixed_transform:
 * @path: a #cairo_path_fixed_t to be transformed
 * @matrix: a #cairo_matrix_t
 *
 * Transform the fixed-point path according to the given matrix.
 * There is a fast path for the case where @matrix has no rotation
 * or shear.
 **/
void
_cairo_path_fixed_transform (cairo_path_fixed_t *path,
                             const cairo_matrix_t     *matrix)
{
    cairo_box_t extents;
    cairo_point_t point;
    cairo_path_buf_t *buf;
    unsigned int i;

    if (matrix->yx == 0.0 && matrix->xy == 0.0) {
        /* Fast path for the common case of scale+transform */
        _cairo_path_fixed_offset_and_scale (path,
                                            _cairo_fixed_from_double (matrix->x0),
                                            _cairo_fixed_from_double (matrix->y0),
                                            _cairo_fixed_from_double (matrix->xx),
                                            _cairo_fixed_from_double (matrix->yy));
        return;
    }

    _cairo_path_fixed_transform_point (&path->last_move_point, matrix);
    _cairo_path_fixed_transform_point (&path->current_point, matrix);

    buf = cairo_path_head (path);
    if (buf->num_points == 0)
        return;

    extents = path->extents;
    point = buf->points[0];
    _cairo_path_fixed_transform_point (&point, matrix);
    _cairo_box_set (&path->extents, &point, &point);

    cairo_path_foreach_buf_start (buf, path) {
        for (i = 0; i < buf->num_points; i++) {
            _cairo_path_fixed_transform_point (&buf->points[i], matrix);
            _cairo_box_add_point (&path->extents, &buf->points[i]);
        }
    } cairo_path_foreach_buf_end (buf, path);

    if (path->has_curve_to) {
        cairo_bool_t is_tight;

        _cairo_matrix_transform_bounding_box_fixed (matrix, &extents, &is_tight);
        if (!is_tight) {
            cairo_bool_t has_extents;

            has_extents = _cairo_path_bounder_extents (path, &extents);
            assert (has_extents);
        }
        path->extents = extents;
    }

    /* flags might become more strict than needed */
    path->stroke_is_rectilinear = FALSE;
    path->fill_is_rectilinear = FALSE;
    path->fill_is_empty = FALSE;
    path->fill_maybe_region = FALSE;
}

/* Closure for path flattening */
typedef struct cairo_path_flattener {
    double tolerance;
    cairo_point_t current_point;
    cairo_path_fixed_move_to_func_t     *move_to;
    cairo_path_fixed_line_to_func_t     *line_to;
    cairo_path_fixed_close_path_func_t  *close_path;
    void *closure;
} cpf_t;

static cairo_status_t
_cpf_move_to (void *closure,
              const cairo_point_t *point)
{
    cpf_t *cpf = closure;

    cpf->current_point = *point;

    return cpf->move_to (cpf->closure, point);
}

static cairo_status_t
_cpf_line_to (void *closure,
              const cairo_point_t *point)
{
    cpf_t *cpf = closure;

    cpf->current_point = *point;

    return cpf->line_to (cpf->closure, point);
}

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

    cairo_point_t *p0 = &cpf->current_point;

    if (! _cairo_spline_init (&spline,
                              (cairo_spline_add_point_func_t)cpf->line_to,
                              cpf->closure,
                              p0, p1, p2, p3))
    {
        return _cpf_line_to (closure, p3);
    }

    cpf->current_point = *p3;

    return _cairo_spline_decompose (&spline, cpf->tolerance);
}

static cairo_status_t
_cpf_close_path (void *closure)
{
    cpf_t *cpf = closure;

    return cpf->close_path (cpf->closure);
}

cairo_status_t
_cairo_path_fixed_interpret_flat (const cairo_path_fixed_t              *path,
                                  cairo_path_fixed_move_to_func_t       *move_to,
                                  cairo_path_fixed_line_to_func_t       *line_to,
                                  cairo_path_fixed_close_path_func_t    *close_path,
                                  void                                  *closure,
                                  double                                tolerance)
{
    cpf_t flattener;

    if (! path->has_curve_to) {
        return _cairo_path_fixed_interpret (path,
                                            move_to,
                                            line_to,
                                            NULL,
                                            close_path,
                                            closure);
    }

    flattener.tolerance = tolerance;
    flattener.move_to = move_to;
    flattener.line_to = line_to;
    flattener.close_path = close_path;
    flattener.closure = closure;
    return _cairo_path_fixed_interpret (path,
                                        _cpf_move_to,
                                        _cpf_line_to,
                                        _cpf_curve_to,
                                        _cpf_close_path,
                                        &flattener);
}

static inline void
_canonical_box (cairo_box_t *box,
                const cairo_point_t *p1,
                const cairo_point_t *p2)
{
    if (p1->x <= p2->x) {
        box->p1.x = p1->x;
        box->p2.x = p2->x;
    } else {
        box->p1.x = p2->x;
        box->p2.x = p1->x;
    }

    if (p1->y <= p2->y) {
        box->p1.y = p1->y;
        box->p2.y = p2->y;
    } else {
        box->p1.y = p2->y;
        box->p2.y = p1->y;
    }
}

static inline cairo_bool_t
_path_is_quad (const cairo_path_fixed_t *path)
{
    const cairo_path_buf_t *buf = cairo_path_head (path);

    /* Do we have the right number of ops? */
    if (buf->num_ops < 4 || buf->num_ops > 6)
        return FALSE;

    /* Check whether the ops are those that would be used for a rectangle */
    if (buf->op[0] != CAIRO_PATH_OP_MOVE_TO ||
        buf->op[1] != CAIRO_PATH_OP_LINE_TO ||
        buf->op[2] != CAIRO_PATH_OP_LINE_TO ||
        buf->op[3] != CAIRO_PATH_OP_LINE_TO)
    {
        return FALSE;
    }

    /* we accept an implicit close for filled paths */
    if (buf->num_ops > 4) {
        /* Now, there are choices. The rectangle might end with a LINE_TO
         * (to the original point), but this isn't required. If it
         * doesn't, then it must end with a CLOSE_PATH. */
        if (buf->op[4] == CAIRO_PATH_OP_LINE_TO) {
            if (buf->points[4].x != buf->points[0].x ||
                buf->points[4].y != buf->points[0].y)
                return FALSE;
        } else if (buf->op[4] != CAIRO_PATH_OP_CLOSE_PATH) {
            return FALSE;
        }

        if (buf->num_ops == 6) {
            /* A trailing CLOSE_PATH or MOVE_TO is ok */
            if (buf->op[5] != CAIRO_PATH_OP_MOVE_TO &&
                buf->op[5] != CAIRO_PATH_OP_CLOSE_PATH)
                return FALSE;
        }
    }

    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;
    }

    return FALSE;
}

/* Determine whether two lines A->B and C->D intersect based on the 
 * algorithm described here: http://paulbourke.net/geometry/pointlineplane/ */
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;
    cairo_bool_t denominator_negative;

    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;
    }

    /* The lines intersect if both quotients are between 0 and 1 (exclusive). */

     /* We first test whether either quotient is a negative number. */
    denominator_negative = _cairo_int64_negative (denominator);
    if (_cairo_int64_negative (numerator_a) ^ denominator_negative)
        return FALSE;
    if (_cairo_int64_negative (numerator_b) ^ denominator_negative)
        return FALSE;

    /* A zero quotient indicates an "intersection" at an endpoint, which
     * we aren't considering a true intersection. */
    if (_cairo_int64_is_zero (numerator_a) || _cairo_int64_is_zero (numerator_b))
        return FALSE;

    /* If the absolute value of the numerator is larger than or equal to the
     * denominator the result of the division would be greater than or equal
     * to one. */
    if (! denominator_negative) {
        if (! _cairo_int64_lt (numerator_a, denominator) ||
            ! _cairo_int64_lt (numerator_b, denominator))
            return FALSE;
    } else {
        if (! _cairo_int64_lt (denominator, numerator_a) ||
            ! _cairo_int64_lt (denominator, numerator_b))
            return FALSE;
    }

    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)
{
    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 != 5)
        return FALSE;

    /* Check whether the ops are those that would be used for a rectangle */
    if (buf->op[0] != CAIRO_PATH_OP_MOVE_TO ||
        buf->op[1] != CAIRO_PATH_OP_LINE_TO ||
        buf->op[2] != CAIRO_PATH_OP_LINE_TO ||
        buf->op[3] != CAIRO_PATH_OP_LINE_TO ||
        buf->op[4] != CAIRO_PATH_OP_CLOSE_PATH)
    {
        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)
    {
        _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 TRUE;
    }

    return FALSE;
}

/*
 * Check whether the given path contains a single rectangle
 * that is logically equivalent to:
 * <informalexample><programlisting>
 *   cairo_move_to (cr, x, y);
 *   cairo_rel_line_to (cr, width, 0);
 *   cairo_rel_line_to (cr, 0, height);
 *   cairo_rel_line_to (cr, -width, 0);
 *   cairo_close_path (cr);
 * </programlisting></informalexample>
 */
cairo_bool_t
_cairo_path_fixed_is_rectangle (const cairo_path_fixed_t *path,
                                cairo_box_t        *box)
{
    const cairo_path_buf_t *buf;

    if (! _cairo_path_fixed_is_box (path, box))
        return FALSE;

    /* This check is valid because the current implementation of
     * _cairo_path_fixed_is_box () only accepts rectangles like:
     * move,line,line,line[,line|close[,close|move]]. */
    buf = cairo_path_head (path);
    if (buf->num_ops > 4)
        return TRUE;

    return FALSE;
}

void
_cairo_path_fixed_iter_init (cairo_path_fixed_iter_t *iter,
                             const cairo_path_fixed_t *path)
{
    iter->first = iter->buf = cairo_path_head (path);
    iter->n_op = 0;
    iter->n_point = 0;
}

static cairo_bool_t
_cairo_path_fixed_iter_next_op (cairo_path_fixed_iter_t *iter)
{
    if (++iter->n_op >= iter->buf->num_ops) {
        iter->buf = cairo_path_buf_next (iter->buf);
        if (iter->buf == iter->first) {
            iter->buf = NULL;
            return FALSE;
        }

        iter->n_op = 0;
        iter->n_point = 0;
    }

    return TRUE;
}

cairo_bool_t
_cairo_path_fixed_iter_is_fill_box (cairo_path_fixed_iter_t *_iter,
                                    cairo_box_t *box)
{
    cairo_point_t points[5];
    cairo_path_fixed_iter_t iter;

    if (_iter->buf == NULL)
        return FALSE;

    iter = *_iter;

    if (iter.n_op == iter.buf->num_ops && ! _cairo_path_fixed_iter_next_op (&iter))
        return FALSE;

    /* Check whether the ops are those that would be used for a rectangle */
    if (iter.buf->op[iter.n_op] != CAIRO_PATH_OP_MOVE_TO)
        return FALSE;
    points[0] = iter.buf->points[iter.n_point++];
    if (! _cairo_path_fixed_iter_next_op (&iter))
        return FALSE;

    if (iter.buf->op[iter.n_op] != CAIRO_PATH_OP_LINE_TO)
        return FALSE;
    points[1] = iter.buf->points[iter.n_point++];
    if (! _cairo_path_fixed_iter_next_op (&iter))
        return FALSE;

    /* a horizontal/vertical closed line is also a degenerate rectangle */
    switch (iter.buf->op[iter.n_op]) {
    case CAIRO_PATH_OP_CLOSE_PATH:
        _cairo_path_fixed_iter_next_op (&iter);
    case CAIRO_PATH_OP_MOVE_TO: /* implicit close */
        box->p1 = box->p2 = points[0];
        *_iter = iter;
        return TRUE;
    default:
        return FALSE;
    case CAIRO_PATH_OP_LINE_TO:
        break;
    }

    points[2] = iter.buf->points[iter.n_point++];
    if (! _cairo_path_fixed_iter_next_op (&iter))
        return FALSE;

    if (iter.buf->op[iter.n_op] != CAIRO_PATH_OP_LINE_TO)
        return FALSE;
    points[3] = iter.buf->points[iter.n_point++];

    /* Now, there are choices. The rectangle might end with a LINE_TO
     * (to the original point), but this isn't required. If it
     * doesn't, then it must end with a CLOSE_PATH (which may be implicit). */
    if (! _cairo_path_fixed_iter_next_op (&iter)) {
        /* implicit close due to fill */
    } else if (iter.buf->op[iter.n_op] == CAIRO_PATH_OP_LINE_TO) {
        points[4] = iter.buf->points[iter.n_point++];
        if (points[4].x != points[0].x || points[4].y != points[0].y)
            return FALSE;
        _cairo_path_fixed_iter_next_op (&iter);
    } else if (iter.buf->op[iter.n_op] == CAIRO_PATH_OP_CLOSE_PATH) {
        _cairo_path_fixed_iter_next_op (&iter);
    } else if (iter.buf->op[iter.n_op] == CAIRO_PATH_OP_MOVE_TO) {
        /* implicit close-path due to new-sub-path */
    } else {
        return FALSE;
    }

    /* Ok, we may have a box, if the points line up */
    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)
    {
        box->p1 = points[0];
        box->p2 = points[2];
        *_iter = iter;
        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)
    {
        box->p1 = points[1];
        box->p2 = points[3];
        *_iter = iter;
        return TRUE;
    }

    return FALSE;
}

cairo_bool_t
_cairo_path_fixed_iter_at_end (const cairo_path_fixed_iter_t *iter)
{
    if (iter->buf == NULL)
        return TRUE;

    return iter->n_op == iter->buf->num_ops;
}