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+/* Copyright (C) 2001-2006 Artifex Software, Inc.
+ All Rights Reserved.
+
+ This software is provided AS-IS with no warranty, either express or
+ implied.
+
+ This software is distributed under license and may not be copied, modified
+ or distributed except as expressly authorized under the terms of that
+ license. Refer to licensing information at http://www.artifex.com/
+ or contact Artifex Software, Inc., 7 Mt. Lassen Drive - Suite A-134,
+ San Rafael, CA 94903, U.S.A., +1(415)492-9861, for further information.
+*/
+
+/*$Id$ */
+/* Structure and internal procedure definitions for paths */
+/* Requires gxfixed.h */
+
+#ifndef gzpath_INCLUDED
+# define gzpath_INCLUDED
+
+#include "gxpath.h"
+#include "gsmatrix.h"
+#include "gsrefct.h"
+#include "gsstype.h" /* for extern_st */
+
+/*
+ * Paths are represented as a linked list of line or curve segments,
+ * similar to what pathforall reports.
+ */
+
+/*
+ * Define path segment types: segment start, line, or Bezier curve.
+ * We have a special type for the line added by closepath.
+ */
+typedef enum {
+ s_start,
+ s_line,
+ s_line_close,
+ s_curve,
+ s_dash /* only for internal use of the stroking algorithm */
+} segment_type;
+
+/* Define the common structure for all segments. */
+#define segment_common\
+ segment *prev;\
+ segment *next;\
+ ushort /*segment_type*/ type;\
+ ushort /*segment_notes*/ notes;\
+ gs_fixed_point pt; /* initial point for starts, */\
+ /* final point for others */
+
+/* Forward declarations for structure types */
+#ifndef segment_DEFINED
+# define segment_DEFINED
+typedef struct segment_s segment;
+
+#endif
+typedef struct subpath_s subpath;
+
+/*
+ * Define a generic segment. This is never instantiated,
+ * but we define a descriptor anyway for the benefit of subclasses.
+ */
+struct segment_s {
+ segment_common
+};
+
+#define private_st_segment() /* in gxpath.c */\
+ gs_private_st_ptrs2(st_segment, struct segment_s, "segment",\
+ segment_enum_ptrs, segment_reloc_ptrs, prev, next)
+
+/* Line segments have no special data. */
+typedef struct {
+ segment_common
+} line_segment;
+
+#define private_st_line() /* in gxpath.c */\
+ gs_private_st_suffix_add0(st_line, line_segment, "line",\
+ line_enum_ptrs, line_reloc_ptrs, st_segment)
+
+/* Dash segments (only for internal use of the stroking algorithm). */
+typedef struct {
+ segment_common
+ gs_fixed_point tangent;
+} dash_segment;
+
+#define private_st_dash() /* in gxpath.c */\
+ gs_private_st_suffix_add0(st_dash, dash_segment, "dash",\
+ dash_enum_ptrs, dash_reloc_ptrs, st_segment)
+
+/* Line_close segments are for the lines appended by closepath. */
+/* They point back to the subpath being closed. */
+typedef struct {
+ segment_common
+ subpath * sub;
+} line_close_segment;
+
+#define private_st_line_close() /* in gxpath.c */\
+ gs_private_st_suffix_add1(st_line_close, line_close_segment, "close",\
+ close_enum_ptrs, close_reloc_ptrs, st_segment, sub)
+
+/*
+ * We use two different representations for curve segments: one defined by
+ * two endpoints (p0, p3) and two control points (p1, p2), and one defined
+ * by two sets of parametric cubic coefficients (ax ... dy). Here is how
+ * they are related (v = x or y). We spell out some multiplies by 3 for
+ * the benefit of compilers too simple to optimize this.
+ */
+#define curve_points_to_coefficients(v0, v1, v2, v3, a, b, c, t01, t12)\
+ (/*d = (v0),*/\
+ t01 = (v1) - (v0), c = (t01 << 1) + t01,\
+ t12 = (v2) - (v1), b = (t12 << 1) + t12 - c,\
+ a = (v3) - b - c - (v0))
+/*
+ * or conversely
+ */
+#define curve_coefficients_to_points(a, b, c, d, v1, v2, v3)\
+ (/*v0 = (d),*/\
+ v1 = (d) + ((c) / 3),\
+ v2 = v1 + (((b) + (c)) / 3),\
+ v3 = (a) + (b) + (c) + (d))
+
+/* Curve segments store the control points. */
+typedef struct {
+ segment_common
+ gs_fixed_point p1, p2;
+} curve_segment;
+
+#define private_st_curve() /* in gxpath.c */\
+ gs_private_st_suffix_add0_local(st_curve, curve_segment, "curve",\
+ segment_enum_ptrs, segment_reloc_ptrs, st_segment)
+
+/*
+ * Define a start segment. This serves as the head of a subpath.
+ * The closer is only used temporarily when filling,
+ * to close an open subpath.
+ */
+struct subpath_s {
+ segment_common
+ segment * last; /* last segment of subpath, */
+ /* points back to here if empty */
+ int curve_count; /* # of curves */
+ line_close_segment closer;
+ char /*bool */ is_closed; /* true if subpath is closed */
+};
+
+#define private_st_subpath() /* in gxpath.c */\
+ gs_private_st_suffix_add1(st_subpath, subpath, "subpath",\
+ subpath_enum_ptrs, subpath_reloc_ptrs, st_segment, last)
+
+/* Test whether a subpath is a rectangle; if so, also return */
+/* the start of the next subpath. */
+gx_path_rectangular_type
+gx_subpath_is_rectangular(const subpath * pstart, gs_fixed_rect * pbox,
+ const subpath ** ppnext);
+
+#define gx_subpath_is_rectangle(pstart, pbox, ppnext)\
+ (gx_subpath_is_rectangular(pstart, pbox, ppnext) != prt_none)
+
+/* Curve manipulation */
+
+/* Return the smallest value k such that 2^k segments will approximate */
+/* the curve to within the desired flatness. */
+int gx_curve_log2_samples(fixed, fixed, const curve_segment *, fixed);
+
+/*
+ * If necessary, find the values of t (never more than 2) which split the
+ * curve into monotonic parts. Return the number of split points.
+ */
+int gx_curve_monotonic_points(fixed, fixed, fixed, fixed, double[2]);
+
+/* Monotonize a curve, by splitting it if necessary. */
+int gx_curve_monotonize(gx_path * ppath, const curve_segment * pc);
+
+/* Flatten a partial curve by sampling (internal procedure). */
+int gx_subdivide_curve(gx_path *, int, curve_segment *, segment_notes);
+/*
+ * Define the maximum number of points for sampling if we want accurate
+ * rasterizing. 2^(k_sample_max*3)-1 must fit into a uint with a bit
+ * to spare; also, we must be able to compute 1/2^(3*k) by table lookup.
+ */
+#define k_sample_max min((size_of(int) * 8 - 1) / 3, 10)
+
+
+/*
+ * The path state flags reflect the most recent operation on the path
+ * as follows:
+ * Operation position_valid subpath_open is_drawing
+ * newpath no no no
+ * moveto yes yes no
+ * lineto/curveto yes yes yes
+ * closepath yes no no
+ * If position_valid is true, outside_range reflects whether the most
+ * recent operation went outside of the representable coordinate range.
+ * If this is the case, the corresponding member of position (x and/or y)
+ * is min_fixed or max_fixed, and outside_position is the true position.
+ */
+/*
+ */
+typedef enum {
+ /* Individual flags. These may be or'ed together, per above. */
+ psf_position_valid = 1,
+ psf_subpath_open = 2,
+ psf_is_drawing = 4,
+ psf_outside_range = 8,
+ /* Values stored by path building operations. */
+ psf_last_newpath = 0,
+ psf_last_moveto = psf_position_valid | psf_subpath_open,
+ psf_last_draw = psf_position_valid | psf_subpath_open | psf_is_drawing,
+ psf_last_closepath = psf_position_valid
+} gx_path_state_flags;
+
+/*
+ * Individual tests
+ */
+#define path_position_valid(ppath)\
+ (((ppath)->state_flags & psf_position_valid) != 0)
+#define path_subpath_open(ppath)\
+ (((ppath)->state_flags & psf_subpath_open) != 0)
+#define path_is_drawing(ppath)\
+ (((ppath)->state_flags & psf_is_drawing) != 0)
+#define path_outside_range(ppath)\
+ (((ppath)->state_flags & psf_outside_range) != 0)
+/*
+ * Composite tests
+ */
+#define path_last_is_moveto(ppath)\
+ (((ppath)->state_flags & ~psf_outside_range) == psf_last_moveto)
+#define path_position_in_range(ppath)\
+ (((ppath)->state_flags & (psf_position_valid + psf_outside_range)) ==\
+ psf_position_valid)
+#define path_start_outside_range(ppath)\
+ ((ppath)->state_flags != 0 &&\
+ ((ppath)->start_flags & psf_outside_range) != 0)
+/*
+ * Updating operations
+ */
+#define path_update_newpath(ppath)\
+ ((ppath)->state_flags = psf_last_newpath)
+#define path_update_moveto(ppath)\
+ ((ppath)->state_flags = (ppath)->start_flags = psf_last_moveto)
+#define path_update_draw(ppath)\
+ ((ppath)->state_flags = psf_last_draw)
+#define path_update_closepath(ppath)\
+ ((ppath)->state_flags = psf_last_closepath)
+
+/*
+ * In order to be able to reclaim path segments at the right time, we need
+ * to reference-count them. To minimize disruption, we would like to do
+ * this by creating a structure (gx_path_segments) consisting of only a
+ * reference count that counts the number of paths that share the same
+ * segments. (Logically, we should put the segments themselves --
+ * first/last_subpath, subpath/curve_count -- in this object, but that would
+ * cause too much disruption to existing code.) However, we need to put at
+ * least first_subpath and current_subpath in this structure so that we can
+ * free the segments when the reference count becomes zero.
+ */
+typedef struct gx_path_segments_s {
+ rc_header rc;
+ struct psc_ {
+ subpath *subpath_first;
+ subpath *subpath_current;
+ } contents;
+} gx_path_segments;
+
+#define private_st_path_segments() /* in gxpath.c */\
+ gs_private_st_ptrs2(st_path_segments, gx_path_segments, "path segments",\
+ path_segments_enum_ptrs, path_segments_reloc_ptrs,\
+ contents.subpath_first, contents.subpath_current)
+
+/* Record how a path was allocated, so freeing will do the right thing. */
+typedef enum {
+ path_allocated_on_stack, /* on stack */
+ path_allocated_contained, /* inside another object */
+ path_allocated_on_heap /* on the heap */
+} gx_path_allocation_t;
+
+/*
+ * Define virtual path interface functions.
+ * This is a minimal set of functions required by
+ * Type 1,2, TrueType interpreters.
+ */
+typedef struct gx_path_procs_s {
+ int (*add_point)(gx_path *, fixed, fixed);
+ int (*add_line)(gx_path *, fixed, fixed, segment_notes);
+ int (*add_curve)(gx_path *, fixed, fixed, fixed, fixed, fixed, fixed, segment_notes);
+ int (*close_subpath)(gx_path *, segment_notes);
+ byte (*state_flags)(gx_path *, byte);
+} gx_path_procs;
+
+/* Here is the actual structure of a path. */
+struct gx_path_s {
+ /*
+ * In order to be able to have temporary paths allocated entirely
+ * on the stack, we include a segments structure within the path,
+ * used only for this purpose. In order to avoid having the
+ * path's segments pointer point into the middle of an object,
+ * the segments structure must come first.
+ *
+ * Note that since local_segments is used only for temporary paths
+ * on the stack, and not for path structures in allocated memory,
+ * we don't declare any pointers in it for the GC. (As it happens,
+ * there aren't any such pointers at the moment, but this could
+ * change.)
+ */
+ gx_path_segments local_segments;
+ gs_memory_t *memory;
+ gx_path_allocation_t allocation; /* how this path was allocated */
+ gx_path_segments *segments;
+ segment *last_charpath_segment; /* Used only by pdfwrite at present,
+ * last segment added by a charpath operation
+ */
+ gs_fixed_rect bbox; /* bounding box (in device space) */
+ segment *box_last; /* bbox incorporates segments */
+ /* up to & including this one */
+#define first_subpath segments->contents.subpath_first /* (hack) */
+#define current_subpath segments->contents.subpath_current /* (ditto) */
+ /*
+ * Note: because of bugs in the AIX 4.3.1 xlc compiler, the byte-valued
+ * members must not be the last ones in the structure.
+ */
+ byte /*gx_path_state_flags*/ start_flags; /* flags of moveto */
+ byte /*gx_path_state_flags*/ state_flags; /* (see above) */
+ byte /*bool*/ bbox_set; /* true if setbbox is in effect */
+ byte /*bool*/ bbox_accurate;/* true if bbox is accurate */
+ byte _pad; /* just in case the compiler doesn't do it */
+ int subpath_count;
+ int curve_count;
+ gs_fixed_point position; /* current position */
+ gx_path_procs *procs;
+};
+
+/* st_path should be static, but it's needed for the clip_path subclass. */
+extern_st(st_path);
+#define public_st_path() /* in gxpath.c */\
+ gs_public_st_ptrs3(st_path, gx_path, "path",\
+ path_enum_ptrs, path_reloc_ptrs, segments, box_last, last_charpath_segment)
+#define st_path_max_ptrs 3
+
+/* Path enumeration structure */
+struct gs_path_enum_s {
+ gs_memory_t *memory;
+ gs_matrix mat; /* CTM for inverse-transforming points */
+ const segment *pseg;
+ const gx_path *path; /* path being enumerated */
+ gx_path *copied_path; /* if the path was copied, this is the */
+ /* the same as path, to be released */
+ /* when done enumerating */
+ bool moveto_done; /* have we reported a final moveto yet? */
+ segment_notes notes; /* notes from most recent segment */
+};
+
+/* We export st_path_enum only so that st_cpath_enum can subclass it. */
+extern_st(st_path_enum);
+#define public_st_path_enum() /* in gxpath2.c */\
+ gs_public_st_ptrs3(st_path_enum, gs_path_enum, "gs_path_enum",\
+ path_enum_enum_ptrs, path_enum_reloc_ptrs, pseg, path, copied_path)
+
+/* Inline path accessors. */
+#define gx_path_has_curves_inline(ppath)\
+ ((ppath)->curve_count != 0)
+#define gx_path_has_curves(ppath)\
+ gx_path_has_curves_inline(ppath)
+#define gx_path_is_void_inline(ppath)\
+ ((ppath)->segments != 0 && (ppath)->first_subpath == 0)
+#define gx_path_is_void(ppath)\
+ gx_path_is_void_inline(ppath)
+#define gx_path_subpath_count(ppath)\
+ ((ppath)->subpath_count)
+#define gx_path_is_shared(ppath)\
+ ((ppath)->segments != 0 && (ppath)->segments->rc.ref_count > 1)
+
+/* Macros equivalent to a few heavily used procedures. */
+/* Be aware that these macros may evaluate arguments more than once. */
+#define gx_path_current_point_inline(ppath,ppt)\
+ ( !path_position_valid(ppath) ? gs_note_error(gs_error_nocurrentpoint) :\
+ ((ppt)->x = ppath->position.x, (ppt)->y = ppath->position.y, 0) )
+
+/* An iterator of flattened segments for a minotonic curve. */
+typedef struct gx_flattened_iterator_s gx_flattened_iterator;
+struct gx_flattened_iterator_s {
+ /* private : */
+ fixed x0, y0, x3, y3;
+ fixed cx, bx, ax, cy, by, ay;
+ fixed x, y;
+ uint i, k;
+ uint rmask; /* M-1 */
+ fixed idx, idy, id2x, id2y, id3x, id3y; /* I */
+ uint rx, ry, rdx, rdy, rd2x, rd2y, rd3x, rd3y; /* R */
+ /* public : */
+ bool curve;
+ fixed lx0, ly0, lx1, ly1;
+};
+
+bool gx_flattened_iterator__init(gx_flattened_iterator *this,
+ fixed x0, fixed y0, const curve_segment *pc, int k);
+bool gx_flattened_iterator__init_line(gx_flattened_iterator *this,
+ fixed x0, fixed y0, fixed x1, fixed y1);
+void gx_flattened_iterator__switch_to_backscan(gx_flattened_iterator *this, bool not_first);
+int gx_flattened_iterator__next(gx_flattened_iterator *this);
+int gx_flattened_iterator__prev(gx_flattened_iterator *this);
+
+bool curve_coeffs_ranged(fixed x0, fixed x1, fixed x2, fixed x3,
+ fixed y0, fixed y1, fixed y2, fixed y3,
+ fixed *ax, fixed *bx, fixed *cx,
+ fixed *ay, fixed *by, fixed *cy,
+ int k);
+
+bool gx_check_fixed_diff_overflow(fixed v0, fixed v1);
+bool gx_check_fixed_sum_overflow(fixed v0, fixed v1);
+
+#endif /* gzpath_INCLUDED */