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- /* Copyright (C) 1989, 1995, 1997 Aladdin Enterprises. All rights reserved.
-
- This file is part of Aladdin Ghostscript.
-
- Aladdin Ghostscript is distributed with NO WARRANTY OF ANY KIND. No author
- or distributor accepts any responsibility for the consequences of using it,
- or for whether it serves any particular purpose or works at all, unless he
- or she says so in writing. Refer to the Aladdin Ghostscript Free Public
- License (the "License") for full details.
-
- Every copy of Aladdin Ghostscript must include a copy of the License,
- normally in a plain ASCII text file named PUBLIC. The License grants you
- the right to copy, modify and redistribute Aladdin Ghostscript, but only
- under certain conditions described in the License. Among other things, the
- License requires that the copyright notice and this notice be preserved on
- all copies.
- */
-
- /* gzpath.h */
- /* Private representation of paths for Ghostscript library */
- /* Requires gxfixed.h */
- #include "gxpath.h"
- #include "gsstruct.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
- } 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)
-
- /* 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_composite_only(st_curve, curve_segment, "curve",\
- segment_enum_ptrs, segment_reloc_ptrs)
-
- /*
- * 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. */
- bool gx_subpath_is_rectangle(P3(const subpath *pstart, gs_fixed_rect *pbox,
- const subpath **ppnext));
-
- /* 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(P4(fixed, fixed, const curve_segment *, fixed));
-
- /* Return up to 2 values of t which split the curve into monotonic parts. */
- int gx_curve_monotonic_points(P5(fixed, fixed, fixed, fixed, double [2]));
-
- /* Split a curve at an arbitrary value of t. */
- void gx_curve_split(P6(fixed, fixed, const curve_segment *, double,
- curve_segment *, curve_segment *));
-
- /* Flatten a partial curve by sampling (internal procedure). */
- int gx_flatten_sample(P4(gx_path *, int, curve_segment *, segment_notes));
-
- /* Initialize a cursor for rasterizing a monotonic curve. */
- typedef struct curve_cursor_s {
- /* Following are set at initialization */
- int k; /* 2^k segments */
- gs_fixed_point p0; /* starting point */
- const curve_segment *pc; /* other points */
- fixed a, b, c; /* curve coefficients */
- double da, db, dc; /* scaled double versions of a, b, c */
- bool double_set; /* true if da/b/c set */
- int fixed_limit; /* can do in fixed point if t <= limit */
- /* Following are updated dynamically. */
- struct ccc_ { /* one-element cache */
- fixed ky0, ky3; /* key (range) */
- fixed xl, xd; /* value */
- } cache;
- } curve_cursor;
- void gx_curve_cursor_init(P5(curve_cursor *prc, fixed x0, fixed y0,
- const curve_segment *pc, int k));
-
- /* Return the value of X at a given Y value on a monotonic curve. */
- /* y must lie between prc->p0.y and prc->pt.y. */
- fixed gx_curve_x_at_y(P2(curve_cursor *prc, fixed y));
-
- /*
- * 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)
- #define path_set_outside_position(ppath, px, py)\
- ((ppath)->outside_position.x = (px),\
- (ppath)->outside_position.y = (py),\
- (ppath)->state_flags |= psf_outside_range)
-
- /* Here is the actual structure of a path. */
- struct gx_path_s {
- gs_memory_t *memory;
- gs_fixed_rect bbox; /* bounding box (in device space) */
- segment *box_last; /* bbox incorporates segments */
- /* up to & including this one */
- subpath *first_subpath;
- subpath *current_subpath;
- int subpath_count;
- int curve_count;
- gs_fixed_point position; /* current position */
- gs_point outside_position; /* position if outside_range is set */
- gs_point outside_start; /* outside_position of last moveto */
- 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*/ shares_segments; /* if true, this path shares its */
- /* segment storage with the one in */
- /* the previous saved graphics state */
- };
- 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, box_last, first_subpath, current_subpath)
- #define st_path_max_ptrs 3
-
- /* Path enumeration structure */
- struct gs_path_enum_s {
- const segment *pseg;
- const gs_state *pgs;
- 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 */
- };
- #define private_st_path_enum() /* in gxpath2.c */\
- gs_private_st_ptrs4(st_gs_path_enum, gs_path_enum, "gs_path_enum",\
- path_enum_enum_ptrs, path_enum_reloc_ptrs, pseg, pgs, path, copied_path)
-
- /* 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) )
- /* ...rel_point rather than ...relative_point is because */
- /* some compilers dislike identifiers of >31 characters. */
- #define gx_path_add_rel_point_inline(ppath,dx,dy)\
- ( !path_position_in_range(ppath) || ppath->bbox_set ?\
- gx_path_add_relative_point(ppath, dx, dy) :\
- (ppath->position.x += dx, ppath->position.y += dy,\
- path_update_moveto(ppath), 0) )
-