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+/* -*- Mode: c; tab-width: 8; c-basic-offset: 4; indent-tabs-mode: t; -*- */
+/* glitter-paths - polygon scan converter
+ *
+ * Copyright (c) 2008 M Joonas Pihlaja
+ * Copyright (c) 2007 David Turner
+ *
+ * Permission is hereby granted, free of charge, to any person
+ * obtaining a copy of this software and associated documentation
+ * files (the "Software"), to deal in the Software without
+ * restriction, including without limitation the rights to use,
+ * copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following
+ * conditions:
+ *
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+ * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+ * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+ * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+ * OTHER DEALINGS IN THE SOFTWARE.
+ */
+/* This is the Glitter paths scan converter incorporated into cairo.
+ * The source is from commit 734c53237a867a773640bd5b64816249fa1730f8
+ * of
+ *
+ * http://gitweb.freedesktop.org/?p=users/joonas/glitter-paths
+ */
+/* Glitter-paths is a stand alone polygon rasteriser derived from
+ * David Turner's reimplementation of Tor Anderssons's 15x17
+ * supersampling rasteriser from the Apparition graphics library. The
+ * main new feature here is cheaply choosing per-scan line between
+ * doing fully analytical coverage computation for an entire row at a
+ * time vs. using a supersampling approach.
+ *
+ * David Turner's code can be found at
+ *
+ * http://david.freetype.org/rasterizer-shootout/raster-comparison-20070813.tar.bz2
+ *
+ * In particular this file incorporates large parts of ftgrays_tor10.h
+ * from raster-comparison-20070813.tar.bz2
+ */
+/* Overview
+ *
+ * A scan converter's basic purpose to take polygon edges and convert
+ * them into an RLE compressed A8 mask. This one works in two phases:
+ * gathering edges and generating spans.
+ *
+ * 1) As the user feeds the scan converter edges they are vertically
+ * clipped and bucketted into a _polygon_ data structure. The edges
+ * are also snapped from the user's coordinates to the subpixel grid
+ * coordinates used during scan conversion.
+ *
+ * user
+ * |
+ * | edges
+ * V
+ * polygon buckets
+ *
+ * 2) Generating spans works by performing a vertical sweep of pixel
+ * rows from top to bottom and maintaining an _active_list_ of edges
+ * that intersect the row. From the active list the fill rule
+ * determines which edges are the left and right edges of the start of
+ * each span, and their contribution is then accumulated into a pixel
+ * coverage list (_cell_list_) as coverage deltas. Once the coverage
+ * deltas of all edges are known we can form spans of constant pixel
+ * coverage by summing the deltas during a traversal of the cell list.
+ * At the end of a pixel row the cell list is sent to a coverage
+ * blitter for rendering to some target surface.
+ *
+ * The pixel coverages are computed by either supersampling the row
+ * and box filtering a mono rasterisation, or by computing the exact
+ * coverages of edges in the active list. The supersampling method is
+ * used whenever some edge starts or stops within the row or there are
+ * edge intersections in the row.
+ *
+ * polygon bucket for \
+ * current pixel row |
+ * | |
+ * | activate new edges | Repeat GRID_Y times if we
+ * V \ are supersampling this row,
+ * active list / or just once if we're computing
+ * | | analytical coverage.
+ * | coverage deltas |
+ * V |
+ * pixel coverage list /
+ * |
+ * V
+ * coverage blitter
+ */
+#include "cairoint.h"
+#include "cairo-spans-private.h"
+#include "cairo-error-private.h"
+
+#include <assert.h>
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+#include <setjmp.h>
+
+/* The input coordinate scale and the rasterisation grid scales. */
+#define GLITTER_INPUT_BITS CAIRO_FIXED_FRAC_BITS
+#define GRID_X_BITS CAIRO_FIXED_FRAC_BITS
+#define GRID_Y 15
+
+/* Set glitter up to use a cairo span renderer to do the coverage
+ * blitting. */
+struct pool;
+struct cell_list;
+
+/*-------------------------------------------------------------------------
+ * glitter-paths.h
+ */
+
+/* "Input scaled" numbers are fixed precision reals with multiplier
+ * 2**GLITTER_INPUT_BITS. Input coordinates are given to glitter as
+ * pixel scaled numbers. These get converted to the internal grid
+ * scaled numbers as soon as possible. Internal overflow is possible
+ * if GRID_X/Y inside glitter-paths.c is larger than
+ * 1<<GLITTER_INPUT_BITS. */
+#ifndef GLITTER_INPUT_BITS
+# define GLITTER_INPUT_BITS 8
+#endif
+#define GLITTER_INPUT_SCALE (1<<GLITTER_INPUT_BITS)
+typedef int glitter_input_scaled_t;
+
+/* Opaque type for scan converting. */
+typedef struct glitter_scan_converter glitter_scan_converter_t;
+
+/*-------------------------------------------------------------------------
+ * glitter-paths.c: Implementation internal types
+ */
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+
+/* All polygon coordinates are snapped onto a subsample grid. "Grid
+ * scaled" numbers are fixed precision reals with multiplier GRID_X or
+ * GRID_Y. */
+typedef int grid_scaled_t;
+typedef int grid_scaled_x_t;
+typedef int grid_scaled_y_t;
+
+/* Default x/y scale factors.
+ * You can either define GRID_X/Y_BITS to get a power-of-two scale
+ * or define GRID_X/Y separately. */
+#if !defined(GRID_X) && !defined(GRID_X_BITS)
+# define GRID_X_BITS 8
+#endif
+#if !defined(GRID_Y) && !defined(GRID_Y_BITS)
+# define GRID_Y 15
+#endif
+
+/* Use GRID_X/Y_BITS to define GRID_X/Y if they're available. */
+#ifdef GRID_X_BITS
+# define GRID_X (1 << GRID_X_BITS)
+#endif
+#ifdef GRID_Y_BITS
+# define GRID_Y (1 << GRID_Y_BITS)
+#endif
+
+/* The GRID_X_TO_INT_FRAC macro splits a grid scaled coordinate into
+ * integer and fractional parts. The integer part is floored. */
+#if defined(GRID_X_TO_INT_FRAC)
+ /* do nothing */
+#elif defined(GRID_X_BITS)
+# define GRID_X_TO_INT_FRAC(x, i, f) \
+ _GRID_TO_INT_FRAC_shift(x, i, f, GRID_X_BITS)
+#else
+# define GRID_X_TO_INT_FRAC(x, i, f) \
+ _GRID_TO_INT_FRAC_general(x, i, f, GRID_X)
+#endif
+
+#define _GRID_TO_INT_FRAC_general(t, i, f, m) do { \
+ (i) = (t) / (m); \
+ (f) = (t) % (m); \
+ if ((f) < 0) { \
+ --(i); \
+ (f) += (m); \
+ } \
+} while (0)
+
+#define _GRID_TO_INT_FRAC_shift(t, i, f, b) do { \
+ (f) = (t) & ((1 << (b)) - 1); \
+ (i) = (t) >> (b); \
+} while (0)
+
+/* A grid area is a real in [0,1] scaled by 2*GRID_X*GRID_Y. We want
+ * to be able to represent exactly areas of subpixel trapezoids whose
+ * vertices are given in grid scaled coordinates. The scale factor
+ * comes from needing to accurately represent the area 0.5*dx*dy of a
+ * triangle with base dx and height dy in grid scaled numbers. */
+typedef int grid_area_t;
+#define GRID_XY (2*GRID_X*GRID_Y) /* Unit area on the grid. */
+
+/* GRID_AREA_TO_ALPHA(area): map [0,GRID_XY] to [0,255]. */
+#if GRID_XY == 510
+# define GRID_AREA_TO_ALPHA(c) (((c)+1) >> 1)
+#elif GRID_XY == 255
+# define GRID_AREA_TO_ALPHA(c) (c)
+#elif GRID_XY == 64
+# define GRID_AREA_TO_ALPHA(c) (((c) << 2) | -(((c) & 0x40) >> 6))
+#elif GRID_XY == 128
+# define GRID_AREA_TO_ALPHA(c) ((((c) << 1) | -((c) >> 7)) & 255)
+#elif GRID_XY == 256
+# define GRID_AREA_TO_ALPHA(c) (((c) | -((c) >> 8)) & 255)
+#elif GRID_XY == 15
+# define GRID_AREA_TO_ALPHA(c) (((c) << 4) + (c))
+#elif GRID_XY == 2*256*15
+# define GRID_AREA_TO_ALPHA(c) (((c) + ((c)<<4) + 256) >> 9)
+#else
+# define GRID_AREA_TO_ALPHA(c) (((c)*255 + GRID_XY/2) / GRID_XY)
+#endif
+
+#define UNROLL3(x) x x x
+
+struct quorem {
+ int32_t quo;
+ int32_t rem;
+};
+
+/* Header for a chunk of memory in a memory pool. */
+struct _pool_chunk {
+ /* # bytes used in this chunk. */
+ size_t size;
+
+ /* # bytes total in this chunk */
+ size_t capacity;
+
+ /* Pointer to the previous chunk or %NULL if this is the sentinel
+ * chunk in the pool header. */
+ struct _pool_chunk *prev_chunk;
+
+ /* Actual data starts here. Well aligned for pointers. */
+};
+
+/* A memory pool. This is supposed to be embedded on the stack or
+ * within some other structure. It may optionally be followed by an
+ * embedded array from which requests are fulfilled until
+ * malloc needs to be called to allocate a first real chunk. */
+struct pool {
+ /* Chunk we're allocating from. */
+ struct _pool_chunk *current;
+
+ jmp_buf *jmp;
+
+ /* Free list of previously allocated chunks. All have >= default
+ * capacity. */
+ struct _pool_chunk *first_free;
+
+ /* The default capacity of a chunk. */
+ size_t default_capacity;
+
+ /* Header for the sentinel chunk. Directly following the pool
+ * struct should be some space for embedded elements from which
+ * the sentinel chunk allocates from. */
+ struct _pool_chunk sentinel[1];
+};
+
+/* A polygon edge. */
+struct edge {
+ /* Next in y-bucket or active list. */
+ struct edge *next;
+
+ /* Current x coordinate while the edge is on the active
+ * list. Initialised to the x coordinate of the top of the
+ * edge. The quotient is in grid_scaled_x_t units and the
+ * remainder is mod dy in grid_scaled_y_t units.*/
+ struct quorem x;
+
+ /* Advance of the current x when moving down a subsample line. */
+ struct quorem dxdy;
+
+ /* Advance of the current x when moving down a full pixel
+ * row. Only initialised when the height of the edge is large
+ * enough that there's a chance the edge could be stepped by a
+ * full row's worth of subsample rows at a time. */
+ struct quorem dxdy_full;
+
+ /* The clipped y of the top of the edge. */
+ grid_scaled_y_t ytop;
+
+ /* y2-y1 after orienting the edge downwards. */
+ grid_scaled_y_t dy;
+
+ /* Number of subsample rows remaining to scan convert of this
+ * edge. */
+ grid_scaled_y_t height_left;
+
+ /* Original sign of the edge: +1 for downwards, -1 for upwards
+ * edges. */
+ int dir;
+ int vertical;
+ int clip;
+};
+
+/* Number of subsample rows per y-bucket. Must be GRID_Y. */
+#define EDGE_Y_BUCKET_HEIGHT GRID_Y
+
+#define EDGE_Y_BUCKET_INDEX(y, ymin) (((y) - (ymin))/EDGE_Y_BUCKET_HEIGHT)
+
+/* A collection of sorted and vertically clipped edges of the polygon.
+ * Edges are moved from the polygon to an active list while scan
+ * converting. */
+struct polygon {
+ /* The vertical clip extents. */
+ grid_scaled_y_t ymin, ymax;
+
+ /* Array of edges all starting in the same bucket. An edge is put
+ * into bucket EDGE_BUCKET_INDEX(edge->ytop, polygon->ymin) when
+ * it is added to the polygon. */
+ struct edge **y_buckets;
+ struct edge *y_buckets_embedded[64];
+
+ struct {
+ struct pool base[1];
+ struct edge embedded[32];
+ } edge_pool;
+};
+
+/* A cell records the effect on pixel coverage of polygon edges
+ * passing through a pixel. It contains two accumulators of pixel
+ * coverage.
+ *
+ * Consider the effects of a polygon edge on the coverage of a pixel
+ * it intersects and that of the following one. The coverage of the
+ * following pixel is the height of the edge multiplied by the width
+ * of the pixel, and the coverage of the pixel itself is the area of
+ * the trapezoid formed by the edge and the right side of the pixel.
+ *
+ * +-----------------------+-----------------------+
+ * | | |
+ * | | |
+ * |_______________________|_______________________|
+ * | \...................|.......................|\
+ * | \..................|.......................| |
+ * | \.................|.......................| |
+ * | \....covered.....|.......................| |
+ * | \....area.......|.......................| } covered height
+ * | \..............|.......................| |
+ * |uncovered\.............|.......................| |
+ * | area \............|.......................| |
+ * |___________\...........|.......................|/
+ * | | |
+ * | | |
+ * | | |
+ * +-----------------------+-----------------------+
+ *
+ * Since the coverage of the following pixel will always be a multiple
+ * of the width of the pixel, we can store the height of the covered
+ * area instead. The coverage of the pixel itself is the total
+ * coverage minus the area of the uncovered area to the left of the
+ * edge. As it's faster to compute the uncovered area we only store
+ * that and subtract it from the total coverage later when forming
+ * spans to blit.
+ *
+ * The heights and areas are signed, with left edges of the polygon
+ * having positive sign and right edges having negative sign. When
+ * two edges intersect they swap their left/rightness so their
+ * contribution above and below the intersection point must be
+ * computed separately. */
+struct cell {
+ struct cell *next;
+ int x;
+ grid_area_t uncovered_area;
+ grid_scaled_y_t covered_height;
+ grid_scaled_y_t clipped_height;
+};
+
+/* A cell list represents the scan line sparsely as cells ordered by
+ * ascending x. It is geared towards scanning the cells in order
+ * using an internal cursor. */
+struct cell_list {
+ /* Sentinel nodes */
+ struct cell head, tail;
+
+ /* Cursor state for iterating through the cell list. */
+ struct cell *cursor;
+
+ /* Cells in the cell list are owned by the cell list and are
+ * allocated from this pool. */
+ struct {
+ struct pool base[1];
+ struct cell embedded[32];
+ } cell_pool;
+};
+
+struct cell_pair {
+ struct cell *cell1;
+ struct cell *cell2;
+};
+
+/* The active list contains edges in the current scan line ordered by
+ * the x-coordinate of the intercept of the edge and the scan line. */
+struct active_list {
+ /* Leftmost edge on the current scan line. */
+ struct edge *head;
+
+ /* A lower bound on the height of the active edges is used to
+ * estimate how soon some active edge ends. We can't advance the
+ * scan conversion by a full pixel row if an edge ends somewhere
+ * within it. */
+ grid_scaled_y_t min_height;
+};
+
+struct glitter_scan_converter {
+ struct polygon polygon[1];
+ struct active_list active[1];
+ struct cell_list coverages[1];
+
+ /* Clip box. */
+ grid_scaled_y_t ymin, ymax;
+};
+
+/* Compute the floored division a/b. Assumes / and % perform symmetric
+ * division. */
+inline static struct quorem
+floored_divrem(int a, int b)
+{
+ struct quorem qr;
+ qr.quo = a/b;
+ qr.rem = a%b;
+ if ((a^b)<0 && qr.rem) {
+ qr.quo -= 1;
+ qr.rem += b;
+ }
+ return qr;
+}
+
+/* Compute the floored division (x*a)/b. Assumes / and % perform symmetric
+ * division. */
+static struct quorem
+floored_muldivrem(int x, int a, int b)
+{
+ struct quorem qr;
+ long long xa = (long long)x*a;
+ qr.quo = xa/b;
+ qr.rem = xa%b;
+ if ((xa>=0) != (b>=0) && qr.rem) {
+ qr.quo -= 1;
+ qr.rem += b;
+ }
+ return qr;
+}
+
+static struct _pool_chunk *
+_pool_chunk_init(
+ struct _pool_chunk *p,
+ struct _pool_chunk *prev_chunk,
+ size_t capacity)
+{
+ p->prev_chunk = prev_chunk;
+ p->size = 0;
+ p->capacity = capacity;
+ return p;
+}
+
+static struct _pool_chunk *
+_pool_chunk_create(struct pool *pool, size_t size)
+{
+ struct _pool_chunk *p;
+
+ p = malloc(size + sizeof(struct _pool_chunk));
+ if (unlikely (NULL == p))
+ longjmp (*pool->jmp, _cairo_error (CAIRO_STATUS_NO_MEMORY));
+
+ return _pool_chunk_init(p, pool->current, size);
+}
+
+static void
+pool_init(struct pool *pool,
+ jmp_buf *jmp,
+ size_t default_capacity,
+ size_t embedded_capacity)
+{
+ pool->jmp = jmp;
+ pool->current = pool->sentinel;
+ pool->first_free = NULL;
+ pool->default_capacity = default_capacity;
+ _pool_chunk_init(pool->sentinel, NULL, embedded_capacity);
+}
+
+static void
+pool_fini(struct pool *pool)
+{
+ struct _pool_chunk *p = pool->current;
+ do {
+ while (NULL != p) {
+ struct _pool_chunk *prev = p->prev_chunk;
+ if (p != pool->sentinel)
+ free(p);
+ p = prev;
+ }
+ p = pool->first_free;
+ pool->first_free = NULL;
+ } while (NULL != p);
+}
+
+/* Satisfy an allocation by first allocating a new large enough chunk
+ * and adding it to the head of the pool's chunk list. This function
+ * is called as a fallback if pool_alloc() couldn't do a quick
+ * allocation from the current chunk in the pool. */
+static void *
+_pool_alloc_from_new_chunk(
+ struct pool *pool,
+ size_t size)
+{
+ struct _pool_chunk *chunk;
+ void *obj;
+ size_t capacity;
+
+ /* If the allocation is smaller than the default chunk size then
+ * try getting a chunk off the free list. Force alloc of a new
+ * chunk for large requests. */
+ capacity = size;
+ chunk = NULL;
+ if (size < pool->default_capacity) {
+ capacity = pool->default_capacity;
+ chunk = pool->first_free;
+ if (chunk) {
+ pool->first_free = chunk->prev_chunk;
+ _pool_chunk_init(chunk, pool->current, chunk->capacity);
+ }
+ }
+
+ if (NULL == chunk)
+ chunk = _pool_chunk_create (pool, capacity);
+ pool->current = chunk;
+
+ obj = ((unsigned char*)chunk + sizeof(*chunk) + chunk->size);
+ chunk->size += size;
+ return obj;
+}
+
+/* Allocate size bytes from the pool. The first allocated address
+ * returned from a pool is aligned to sizeof(void*). Subsequent
+ * addresses will maintain alignment as long as multiples of void* are
+ * allocated. Returns the address of a new memory area or %NULL on
+ * allocation failures. The pool retains ownership of the returned
+ * memory. */
+inline static void *
+pool_alloc (struct pool *pool, size_t size)
+{
+ struct _pool_chunk *chunk = pool->current;
+
+ if (size <= chunk->capacity - chunk->size) {
+ void *obj = ((unsigned char*)chunk + sizeof(*chunk) + chunk->size);
+ chunk->size += size;
+ return obj;
+ } else {
+ return _pool_alloc_from_new_chunk(pool, size);
+ }
+}
+
+/* Relinquish all pool_alloced memory back to the pool. */
+static void
+pool_reset (struct pool *pool)
+{
+ /* Transfer all used chunks to the chunk free list. */
+ struct _pool_chunk *chunk = pool->current;
+ if (chunk != pool->sentinel) {
+ while (chunk->prev_chunk != pool->sentinel) {
+ chunk = chunk->prev_chunk;
+ }
+ chunk->prev_chunk = pool->first_free;
+ pool->first_free = pool->current;
+ }
+ /* Reset the sentinel as the current chunk. */
+ pool->current = pool->sentinel;
+ pool->sentinel->size = 0;
+}
+
+/* Rewinds the cell list's cursor to the beginning. After rewinding
+ * we're good to cell_list_find() the cell any x coordinate. */
+inline static void
+cell_list_rewind (struct cell_list *cells)
+{
+ cells->cursor = &cells->head;
+}
+
+/* Rewind the cell list if its cursor has been advanced past x. */
+inline static void
+cell_list_maybe_rewind (struct cell_list *cells, int x)
+{
+ struct cell *tail = cells->cursor;
+ if (tail->x > x)
+ cell_list_rewind (cells);
+}
+
+static void
+cell_list_init(struct cell_list *cells, jmp_buf *jmp)
+{
+ pool_init(cells->cell_pool.base, jmp,
+ 256*sizeof(struct cell),
+ sizeof(cells->cell_pool.embedded));
+ cells->tail.next = NULL;
+ cells->tail.x = INT_MAX;
+ cells->head.x = INT_MIN;
+ cells->head.next = &cells->tail;
+ cell_list_rewind (cells);
+}
+
+static void
+cell_list_fini(struct cell_list *cells)
+{
+ pool_fini (cells->cell_pool.base);
+}
+
+/* Empty the cell list. This is called at the start of every pixel
+ * row. */
+inline static void
+cell_list_reset (struct cell_list *cells)
+{
+ cell_list_rewind (cells);
+ cells->head.next = &cells->tail;
+ pool_reset (cells->cell_pool.base);
+}
+
+static struct cell *
+cell_list_alloc (struct cell_list *cells,
+ struct cell *tail,
+ int x)
+{
+ struct cell *cell;
+
+ cell = pool_alloc (cells->cell_pool.base, sizeof (struct cell));
+ cell->next = tail->next;
+ tail->next = cell;
+ cell->x = x;
+ cell->uncovered_area = 0;
+ cell->covered_height = 0;
+ cell->clipped_height = 0;
+ return cell;
+}
+
+/* Find a cell at the given x-coordinate. Returns %NULL if a new cell
+ * needed to be allocated but couldn't be. Cells must be found with
+ * non-decreasing x-coordinate until the cell list is rewound using
+ * cell_list_rewind(). Ownership of the returned cell is retained by
+ * the cell list. */
+inline static struct cell *
+cell_list_find (struct cell_list *cells, int x)
+{
+ struct cell *tail = cells->cursor;
+
+ while (1) {
+ UNROLL3({
+ if (tail->next->x > x)
+ break;
+ tail = tail->next;
+ });
+ }
+
+ if (tail->x != x)
+ tail = cell_list_alloc (cells, tail, x);
+ return cells->cursor = tail;
+
+}
+
+/* Find two cells at x1 and x2. This is exactly equivalent
+ * to
+ *
+ * pair.cell1 = cell_list_find(cells, x1);
+ * pair.cell2 = cell_list_find(cells, x2);
+ *
+ * except with less function call overhead. */
+inline static struct cell_pair
+cell_list_find_pair(struct cell_list *cells, int x1, int x2)
+{
+ struct cell_pair pair;
+
+ pair.cell1 = cells->cursor;
+ while (1) {
+ UNROLL3({
+ if (pair.cell1->next->x > x1)
+ break;
+ pair.cell1 = pair.cell1->next;
+ });
+ }
+ if (pair.cell1->x != x1) {
+ struct cell *cell = pool_alloc (cells->cell_pool.base,
+ sizeof (struct cell));
+ cell->x = x1;
+ cell->uncovered_area = 0;
+ cell->covered_height = 0;
+ cell->clipped_height = 0;
+ cell->next = pair.cell1->next;
+ pair.cell1->next = cell;
+ pair.cell1 = cell;
+ }
+
+ pair.cell2 = pair.cell1;
+ while (1) {
+ UNROLL3({
+ if (pair.cell2->next->x > x2)
+ break;
+ pair.cell2 = pair.cell2->next;
+ });
+ }
+ if (pair.cell2->x != x2) {
+ struct cell *cell = pool_alloc (cells->cell_pool.base,
+ sizeof (struct cell));
+ cell->uncovered_area = 0;
+ cell->covered_height = 0;
+ cell->clipped_height = 0;
+ cell->x = x2;
+ cell->next = pair.cell2->next;
+ pair.cell2->next = cell;
+ pair.cell2 = cell;
+ }
+
+ cells->cursor = pair.cell2;
+ return pair;
+}
+
+/* Add a subpixel span covering [x1, x2) to the coverage cells. */
+inline static void
+cell_list_add_subspan(struct cell_list *cells,
+ grid_scaled_x_t x1,
+ grid_scaled_x_t x2)
+{
+ int ix1, fx1;
+ int ix2, fx2;
+
+ GRID_X_TO_INT_FRAC(x1, ix1, fx1);
+ GRID_X_TO_INT_FRAC(x2, ix2, fx2);
+
+ if (ix1 != ix2) {
+ struct cell_pair p;
+ p = cell_list_find_pair(cells, ix1, ix2);
+ p.cell1->uncovered_area += 2*fx1;
+ ++p.cell1->covered_height;
+ p.cell2->uncovered_area -= 2*fx2;
+ --p.cell2->covered_height;
+ } else {
+ struct cell *cell = cell_list_find(cells, ix1);
+ cell->uncovered_area += 2*(fx1-fx2);
+ }
+}
+
+/* Adds the analytical coverage of an edge crossing the current pixel
+ * row to the coverage cells and advances the edge's x position to the
+ * following row.
+ *
+ * This function is only called when we know that during this pixel row:
+ *
+ * 1) The relative order of all edges on the active list doesn't
+ * change. In particular, no edges intersect within this row to pixel
+ * precision.
+ *
+ * 2) No new edges start in this row.
+ *
+ * 3) No existing edges end mid-row.
+ *
+ * This function depends on being called with all edges from the
+ * active list in the order they appear on the list (i.e. with
+ * non-decreasing x-coordinate.) */
+static void
+cell_list_render_edge(
+ struct cell_list *cells,
+ struct edge *edge,
+ int sign)
+{
+ grid_scaled_y_t y1, y2, dy;
+ grid_scaled_x_t dx;
+ int ix1, ix2;
+ grid_scaled_x_t fx1, fx2;
+
+ struct quorem x1 = edge->x;
+ struct quorem x2 = x1;
+
+ if (! edge->vertical) {
+ x2.quo += edge->dxdy_full.quo;
+ x2.rem += edge->dxdy_full.rem;
+ if (x2.rem >= 0) {
+ ++x2.quo;
+ x2.rem -= edge->dy;
+ }
+
+ edge->x = x2;
+ }
+
+ GRID_X_TO_INT_FRAC(x1.quo, ix1, fx1);
+ GRID_X_TO_INT_FRAC(x2.quo, ix2, fx2);
+
+ /* Edge is entirely within a column? */
+ if (ix1 == ix2) {
+ /* We always know that ix1 is >= the cell list cursor in this
+ * case due to the no-intersections precondition. */
+ struct cell *cell = cell_list_find(cells, ix1);
+ cell->covered_height += sign*GRID_Y;
+ cell->uncovered_area += sign*(fx1 + fx2)*GRID_Y;
+ return;
+ }
+
+ /* Orient the edge left-to-right. */
+ dx = x2.quo - x1.quo;
+ if (dx >= 0) {
+ y1 = 0;
+ y2 = GRID_Y;
+ } else {
+ int tmp;
+ tmp = ix1; ix1 = ix2; ix2 = tmp;
+ tmp = fx1; fx1 = fx2; fx2 = tmp;
+ dx = -dx;
+ sign = -sign;
+ y1 = GRID_Y;
+ y2 = 0;
+ }
+ dy = y2 - y1;
+
+ /* Add coverage for all pixels [ix1,ix2] on this row crossed
+ * by the edge. */
+ {
+ struct cell_pair pair;
+ struct quorem y = floored_divrem((GRID_X - fx1)*dy, dx);
+
+ /* When rendering a previous edge on the active list we may
+ * advance the cell list cursor past the leftmost pixel of the
+ * current edge even though the two edges don't intersect.
+ * e.g. consider two edges going down and rightwards:
+ *
+ * --\_+---\_+-----+-----+----
+ * \_ \_ | |
+ * | \_ | \_ | |
+ * | \_| \_| |
+ * | \_ \_ |
+ * ----+-----+-\---+-\---+----
+ *
+ * The left edge touches cells past the starting cell of the
+ * right edge. Fortunately such cases are rare.
+ *
+ * The rewinding is never necessary if the current edge stays
+ * within a single column because we've checked before calling
+ * this function that the active list order won't change. */
+ cell_list_maybe_rewind(cells, ix1);
+
+ pair = cell_list_find_pair(cells, ix1, ix1+1);
+ pair.cell1->uncovered_area += sign*y.quo*(GRID_X + fx1);
+ pair.cell1->covered_height += sign*y.quo;
+ y.quo += y1;
+
+ if (ix1+1 < ix2) {
+ struct quorem dydx_full = floored_divrem(GRID_X*dy, dx);
+ struct cell *cell = pair.cell2;
+
+ ++ix1;
+ do {
+ grid_scaled_y_t y_skip = dydx_full.quo;
+ y.rem += dydx_full.rem;
+ if (y.rem >= dx) {
+ ++y_skip;
+ y.rem -= dx;
+ }
+
+ y.quo += y_skip;
+
+ y_skip *= sign;
+ cell->uncovered_area += y_skip*GRID_X;
+ cell->covered_height += y_skip;
+
+ ++ix1;
+ cell = cell_list_find(cells, ix1);
+ } while (ix1 != ix2);
+
+ pair.cell2 = cell;
+ }
+ pair.cell2->uncovered_area += sign*(y2 - y.quo)*fx2;
+ pair.cell2->covered_height += sign*(y2 - y.quo);
+ }
+}
+
+static void
+polygon_init (struct polygon *polygon, jmp_buf *jmp)
+{
+ polygon->ymin = polygon->ymax = 0;
+ polygon->y_buckets = polygon->y_buckets_embedded;
+ pool_init (polygon->edge_pool.base, jmp,
+ 8192 - sizeof (struct _pool_chunk),
+ sizeof (polygon->edge_pool.embedded));
+}
+
+static void
+polygon_fini (struct polygon *polygon)
+{
+ if (polygon->y_buckets != polygon->y_buckets_embedded)
+ free (polygon->y_buckets);
+
+ pool_fini (polygon->edge_pool.base);
+}
+
+/* Empties the polygon of all edges. The polygon is then prepared to
+ * receive new edges and clip them to the vertical range
+ * [ymin,ymax). */
+static cairo_status_t
+polygon_reset (struct polygon *polygon,
+ grid_scaled_y_t ymin,
+ grid_scaled_y_t ymax)
+{
+ unsigned h = ymax - ymin;
+ unsigned num_buckets = EDGE_Y_BUCKET_INDEX(ymax + EDGE_Y_BUCKET_HEIGHT-1,
+ ymin);
+
+ pool_reset(polygon->edge_pool.base);
+
+ if (unlikely (h > 0x7FFFFFFFU - EDGE_Y_BUCKET_HEIGHT))
+ goto bail_no_mem; /* even if you could, you wouldn't want to. */
+
+ if (polygon->y_buckets != polygon->y_buckets_embedded)
+ free (polygon->y_buckets);
+
+ polygon->y_buckets = polygon->y_buckets_embedded;
+ if (num_buckets > ARRAY_LENGTH (polygon->y_buckets_embedded)) {
+ polygon->y_buckets = _cairo_malloc_ab (num_buckets,
+ sizeof (struct edge *));
+ if (unlikely (NULL == polygon->y_buckets))
+ goto bail_no_mem;
+ }
+ memset (polygon->y_buckets, 0, num_buckets * sizeof (struct edge *));
+
+ polygon->ymin = ymin;
+ polygon->ymax = ymax;
+ return CAIRO_STATUS_SUCCESS;
+
+ bail_no_mem:
+ polygon->ymin = 0;
+ polygon->ymax = 0;
+ return CAIRO_STATUS_NO_MEMORY;
+}
+
+static void
+_polygon_insert_edge_into_its_y_bucket(
+ struct polygon *polygon,
+ struct edge *e)
+{
+ unsigned ix = EDGE_Y_BUCKET_INDEX(e->ytop, polygon->ymin);
+ struct edge **ptail = &polygon->y_buckets[ix];
+ e->next = *ptail;
+ *ptail = e;
+}
+
+inline static void
+polygon_add_edge (struct polygon *polygon,
+ const cairo_edge_t *edge,
+ int clip)
+{
+ struct edge *e;
+ grid_scaled_x_t dx;
+ grid_scaled_y_t dy;
+ grid_scaled_y_t ytop, ybot;
+ grid_scaled_y_t ymin = polygon->ymin;
+ grid_scaled_y_t ymax = polygon->ymax;
+
+ assert (edge->bottom > edge->top);
+
+ if (unlikely (edge->top >= ymax || edge->bottom <= ymin))
+ return;
+
+ e = pool_alloc (polygon->edge_pool.base, sizeof (struct edge));
+
+ dx = edge->line.p2.x - edge->line.p1.x;
+ dy = edge->line.p2.y - edge->line.p1.y;
+ e->dy = dy;
+ e->dir = edge->dir;
+ e->clip = clip;
+
+ ytop = edge->top >= ymin ? edge->top : ymin;
+ ybot = edge->bottom <= ymax ? edge->bottom : ymax;
+ e->ytop = ytop;
+ e->height_left = ybot - ytop;
+
+ if (dx == 0) {
+ e->vertical = TRUE;
+ e->x.quo = edge->line.p1.x;
+ e->x.rem = 0;
+ e->dxdy.quo = 0;
+ e->dxdy.rem = 0;
+ e->dxdy_full.quo = 0;
+ e->dxdy_full.rem = 0;
+ } else {
+ e->vertical = FALSE;
+ e->dxdy = floored_divrem (dx, dy);
+ if (ytop == edge->line.p1.y) {
+ e->x.quo = edge->line.p1.x;
+ e->x.rem = 0;
+ } else {
+ e->x = floored_muldivrem (ytop - edge->line.p1.y, dx, dy);
+ e->x.quo += edge->line.p1.x;
+ }
+
+ if (e->height_left >= GRID_Y) {
+ e->dxdy_full = floored_muldivrem (GRID_Y, dx, dy);
+ } else {
+ e->dxdy_full.quo = 0;
+ e->dxdy_full.rem = 0;
+ }
+ }
+
+ _polygon_insert_edge_into_its_y_bucket (polygon, e);
+
+ e->x.rem -= dy; /* Bias the remainder for faster
+ * edge advancement. */
+}
+
+static void
+active_list_reset (struct active_list *active)
+{
+ active->head = NULL;
+ active->min_height = 0;
+}
+
+static void
+active_list_init(struct active_list *active)
+{
+ active_list_reset(active);
+}
+
+/*
+ * Merge two sorted edge lists.
+ * Input:
+ * - head_a: The head of the first list.
+ * - head_b: The head of the second list; head_b cannot be NULL.
+ * Output:
+ * Returns the head of the merged list.
+ *
+ * Implementation notes:
+ * To make it fast (in particular, to reduce to an insertion sort whenever
+ * one of the two input lists only has a single element) we iterate through
+ * a list until its head becomes greater than the head of the other list,
+ * then we switch their roles. As soon as one of the two lists is empty, we
+ * just attach the other one to the current list and exit.
+ * Writes to memory are only needed to "switch" lists (as it also requires
+ * attaching to the output list the list which we will be iterating next) and
+ * to attach the last non-empty list.
+ */
+static struct edge *
+merge_sorted_edges (struct edge *head_a, struct edge *head_b)
+{
+ struct edge *head, **next;
+ int32_t x;
+
+ if (head_a == NULL)
+ return head_b;
+
+ next = &head;
+ if (head_a->x.quo <= head_b->x.quo) {
+ head = head_a;
+ } else {
+ head = head_b;
+ goto start_with_b;
+ }
+
+ do {
+ x = head_b->x.quo;
+ while (head_a != NULL && head_a->x.quo <= x) {
+ next = &head_a->next;
+ head_a = head_a->next;
+ }
+
+ *next = head_b;
+ if (head_a == NULL)
+ return head;
+
+start_with_b:
+ x = head_a->x.quo;
+ while (head_b != NULL && head_b->x.quo <= x) {
+ next = &head_b->next;
+ head_b = head_b->next;
+ }
+
+ *next = head_a;
+ if (head_b == NULL)
+ return head;
+ } while (1);
+}
+
+/*
+ * Sort (part of) a list.
+ * Input:
+ * - list: The list to be sorted; list cannot be NULL.
+ * - limit: Recursion limit.
+ * Output:
+ * - head_out: The head of the sorted list containing the first 2^(level+1) elements of the
+ * input list; if the input list has fewer elements, head_out be a sorted list
+ * containing all the elements of the input list.
+ * Returns the head of the list of unprocessed elements (NULL if the sorted list contains
+ * all the elements of the input list).
+ *
+ * Implementation notes:
+ * Special case single element list, unroll/inline the sorting of the first two elements.
+ * Some tail recursion is used since we iterate on the bottom-up solution of the problem
+ * (we start with a small sorted list and keep merging other lists of the same size to it).
+ */
+static struct edge *
+sort_edges (struct edge *list,
+ unsigned int level,
+ struct edge **head_out)
+{
+ struct edge *head_other, *remaining;
+ unsigned int i;
+
+ head_other = list->next;
+
+ /* Single element list -> return */
+ if (head_other == NULL) {
+ *head_out = list;
+ return NULL;
+ }
+
+ /* Unroll the first iteration of the following loop (halves the number of calls to merge_sorted_edges):
+ * - Initialize remaining to be the list containing the elements after the second in the input list.
+ * - Initialize *head_out to be the sorted list containing the first two element.
+ */
+ remaining = head_other->next;
+ if (list->x.quo <= head_other->x.quo) {
+ *head_out = list;
+ /* list->next = head_other; */ /* The input list is already like this. */
+ head_other->next = NULL;
+ } else {
+ *head_out = head_other;
+ head_other->next = list;
+ list->next = NULL;
+ }
+
+ for (i = 0; i < level && remaining; i++) {
+ /* Extract a sorted list of the same size as *head_out
+ * (2^(i+1) elements) from the list of remaining elements. */
+ remaining = sort_edges (remaining, i, &head_other);
+ *head_out = merge_sorted_edges (*head_out, head_other);
+ }
+
+ /* *head_out now contains (at most) 2^(level+1) elements. */
+
+ return remaining;
+}
+
+/* Test if the edges on the active list can be safely advanced by a
+ * full row without intersections or any edges ending. */
+inline static int
+active_list_can_step_full_row (struct active_list *active)
+{
+ const struct edge *e;
+ int prev_x = INT_MIN;
+
+ /* Recomputes the minimum height of all edges on the active
+ * list if we have been dropping edges. */
+ if (active->min_height <= 0) {
+ int min_height = INT_MAX;
+
+ e = active->head;
+ while (NULL != e) {
+ if (e->height_left < min_height)
+ min_height = e->height_left;
+ e = e->next;
+ }
+
+ active->min_height = min_height;
+ }
+
+ if (active->min_height < GRID_Y)
+ return 0;
+
+ /* Check for intersections as no edges end during the next row. */
+ e = active->head;
+ while (NULL != e) {
+ struct quorem x = e->x;
+
+ if (! e->vertical) {
+ x.quo += e->dxdy_full.quo;
+ x.rem += e->dxdy_full.rem;
+ if (x.rem >= 0)
+ ++x.quo;
+ }
+
+ if (x.quo <= prev_x)
+ return 0;
+
+ prev_x = x.quo;
+ e = e->next;
+ }
+
+ return 1;
+}
+
+/* Merges edges on the given subpixel row from the polygon to the
+ * active_list. */
+inline static void
+active_list_merge_edges_from_polygon(struct active_list *active,
+ struct edge **ptail,
+ grid_scaled_y_t y,
+ struct polygon *polygon)
+{
+ /* Split off the edges on the current subrow and merge them into
+ * the active list. */
+ int min_height = active->min_height;
+ struct edge *subrow_edges = NULL;
+ struct edge *tail = *ptail;
+
+ do {
+ struct edge *next = tail->next;
+
+ if (y == tail->ytop) {
+ tail->next = subrow_edges;
+ subrow_edges = tail;
+
+ if (tail->height_left < min_height)
+ min_height = tail->height_left;
+
+ *ptail = next;
+ } else
+ ptail = &tail->next;
+
+ tail = next;
+ } while (tail);
+
+ if (subrow_edges) {
+ sort_edges (subrow_edges, UINT_MAX, &subrow_edges);
+ active->head = merge_sorted_edges (active->head, subrow_edges);
+ active->min_height = min_height;
+ }
+}
+
+/* Advance the edges on the active list by one subsample row by
+ * updating their x positions. Drop edges from the list that end. */
+inline static void
+active_list_substep_edges(struct active_list *active)
+{
+ struct edge **cursor = &active->head;
+ grid_scaled_x_t prev_x = INT_MIN;
+ struct edge *unsorted = NULL;
+ struct edge *edge = *cursor;
+
+ do {
+ UNROLL3({
+ struct edge *next;
+
+ if (NULL == edge)
+ break;
+
+ next = edge->next;
+ if (--edge->height_left) {
+ edge->x.quo += edge->dxdy.quo;
+ edge->x.rem += edge->dxdy.rem;
+ if (edge->x.rem >= 0) {
+ ++edge->x.quo;
+ edge->x.rem -= edge->dy;
+ }
+
+ if (edge->x.quo < prev_x) {
+ *cursor = next;
+ edge->next = unsorted;
+ unsorted = edge;
+ } else {
+ prev_x = edge->x.quo;
+ cursor = &edge->next;
+ }
+ } else {
+ *cursor = next;
+ }
+ edge = next;
+ })
+ } while (1);
+
+ if (unsorted) {
+ sort_edges (unsorted, UINT_MAX, &unsorted);
+ active->head = merge_sorted_edges (active->head, unsorted);
+ }
+}
+
+inline static void
+apply_nonzero_fill_rule_for_subrow (struct active_list *active,
+ struct cell_list *coverages)
+{
+ struct edge *edge = active->head;
+ int winding = 0;
+ int xstart;
+ int xend;
+
+ cell_list_rewind (coverages);
+
+ while (NULL != edge) {
+ xstart = edge->x.quo;
+ winding = edge->dir;
+ while (1) {
+ edge = edge->next;
+ if (NULL == edge) {
+ ASSERT_NOT_REACHED;
+ return;
+ }
+
+ winding += edge->dir;
+ if (0 == winding) {
+ if (edge->next == NULL || edge->next->x.quo != edge->x.quo)
+ break;
+ }
+ }
+
+ xend = edge->x.quo;
+ cell_list_add_subspan (coverages, xstart, xend);
+
+ edge = edge->next;
+ }
+}
+
+static void
+apply_evenodd_fill_rule_for_subrow (struct active_list *active,
+ struct cell_list *coverages)
+{
+ struct edge *edge = active->head;
+ int xstart;
+ int xend;
+
+ cell_list_rewind (coverages);
+
+ while (NULL != edge) {
+ xstart = edge->x.quo;
+
+ while (1) {
+ edge = edge->next;
+ if (NULL == edge) {
+ ASSERT_NOT_REACHED;
+ return;
+ }
+
+ if (edge->next == NULL || edge->next->x.quo != edge->x.quo)
+ break;
+
+ edge = edge->next;
+ }
+
+ xend = edge->x.quo;
+ cell_list_add_subspan (coverages, xstart, xend);
+
+ edge = edge->next;
+ }
+}
+
+static void
+apply_nonzero_fill_rule_and_step_edges (struct active_list *active,
+ struct cell_list *coverages)
+{
+ struct edge **cursor = &active->head;
+ struct edge *left_edge;
+
+ left_edge = *cursor;
+ while (NULL != left_edge) {
+ struct edge *right_edge;
+ int winding = left_edge->dir;
+
+ left_edge->height_left -= GRID_Y;
+ if (left_edge->height_left)
+ cursor = &left_edge->next;
+ else
+ *cursor = left_edge->next;
+
+ while (1) {
+ right_edge = *cursor;
+ if (NULL == right_edge) {
+ cell_list_render_edge (coverages, left_edge, +1);
+ return;
+ }
+
+ right_edge->height_left -= GRID_Y;
+ if (right_edge->height_left)
+ cursor = &right_edge->next;
+ else
+ *cursor = right_edge->next;
+
+ winding += right_edge->dir;
+ if (0 == winding) {
+ if (right_edge->next == NULL ||
+ right_edge->next->x.quo != right_edge->x.quo)
+ {
+ break;
+ }
+ }
+
+ if (! right_edge->vertical) {
+ right_edge->x.quo += right_edge->dxdy_full.quo;
+ right_edge->x.rem += right_edge->dxdy_full.rem;
+ if (right_edge->x.rem >= 0) {
+ ++right_edge->x.quo;
+ right_edge->x.rem -= right_edge->dy;
+ }
+ }
+ }
+
+ cell_list_render_edge (coverages, left_edge, +1);
+ cell_list_render_edge (coverages, right_edge, -1);
+
+ left_edge = *cursor;
+ }
+}
+
+static void
+apply_evenodd_fill_rule_and_step_edges (struct active_list *active,
+ struct cell_list *coverages)
+{
+ struct edge **cursor = &active->head;
+ struct edge *left_edge;
+
+ left_edge = *cursor;
+ while (NULL != left_edge) {
+ struct edge *right_edge;
+
+ left_edge->height_left -= GRID_Y;
+ if (left_edge->height_left)
+ cursor = &left_edge->next;
+ else
+ *cursor = left_edge->next;
+
+ while (1) {
+ right_edge = *cursor;
+ if (NULL == right_edge) {
+ cell_list_render_edge (coverages, left_edge, +1);
+ return;
+ }
+
+ right_edge->height_left -= GRID_Y;
+ if (right_edge->height_left)
+ cursor = &right_edge->next;
+ else
+ *cursor = right_edge->next;
+
+ if (right_edge->next == NULL ||
+ right_edge->next->x.quo != right_edge->x.quo)
+ {
+ break;
+ }
+
+ if (! right_edge->vertical) {
+ right_edge->x.quo += right_edge->dxdy_full.quo;
+ right_edge->x.rem += right_edge->dxdy_full.rem;
+ if (right_edge->x.rem >= 0) {
+ ++right_edge->x.quo;
+ right_edge->x.rem -= right_edge->dy;
+ }
+ }
+ }
+
+ cell_list_render_edge (coverages, left_edge, +1);
+ cell_list_render_edge (coverages, right_edge, -1);
+
+ left_edge = *cursor;
+ }
+}
+
+static void
+_glitter_scan_converter_init(glitter_scan_converter_t *converter, jmp_buf *jmp)
+{
+ polygon_init(converter->polygon, jmp);
+ active_list_init(converter->active);
+ cell_list_init(converter->coverages, jmp);
+ converter->ymin=0;
+ converter->ymax=0;
+}
+
+static void
+_glitter_scan_converter_fini(glitter_scan_converter_t *converter)
+{
+ polygon_fini(converter->polygon);
+ cell_list_fini(converter->coverages);
+ converter->ymin=0;
+ converter->ymax=0;
+}
+
+static grid_scaled_t
+int_to_grid_scaled(int i, int scale)
+{
+ /* Clamp to max/min representable scaled number. */
+ if (i >= 0) {
+ if (i >= INT_MAX/scale)
+ i = INT_MAX/scale;
+ }
+ else {
+ if (i <= INT_MIN/scale)
+ i = INT_MIN/scale;
+ }
+ return i*scale;
+}
+
+#define int_to_grid_scaled_x(x) int_to_grid_scaled((x), GRID_X)
+#define int_to_grid_scaled_y(x) int_to_grid_scaled((x), GRID_Y)
+
+static cairo_status_t
+glitter_scan_converter_reset(glitter_scan_converter_t *converter,
+ int ymin, int ymax)
+{
+ cairo_status_t status;
+
+ converter->ymin = 0;
+ converter->ymax = 0;
+
+ ymin = int_to_grid_scaled_y(ymin);
+ ymax = int_to_grid_scaled_y(ymax);
+
+ active_list_reset(converter->active);
+ cell_list_reset(converter->coverages);
+ status = polygon_reset(converter->polygon, ymin, ymax);
+ if (status)
+ return status;
+
+ converter->ymin = ymin;
+ converter->ymax = ymax;
+ return CAIRO_STATUS_SUCCESS;
+}
+
+/* INPUT_TO_GRID_X/Y (in_coord, out_grid_scaled, grid_scale)
+ * These macros convert an input coordinate in the client's
+ * device space to the rasterisation grid.
+ */
+/* Gah.. this bit of ugly defines INPUT_TO_GRID_X/Y so as to use
+ * shifts if possible, and something saneish if not.
+ */
+#if !defined(INPUT_TO_GRID_Y) && defined(GRID_Y_BITS) && GRID_Y_BITS <= GLITTER_INPUT_BITS
+# define INPUT_TO_GRID_Y(in, out) (out) = (in) >> (GLITTER_INPUT_BITS - GRID_Y_BITS)
+#else
+# define INPUT_TO_GRID_Y(in, out) INPUT_TO_GRID_general(in, out, GRID_Y)
+#endif
+
+#if !defined(INPUT_TO_GRID_X) && defined(GRID_X_BITS) && GRID_X_BITS <= GLITTER_INPUT_BITS
+# define INPUT_TO_GRID_X(in, out) (out) = (in) >> (GLITTER_INPUT_BITS - GRID_X_BITS)
+#else
+# define INPUT_TO_GRID_X(in, out) INPUT_TO_GRID_general(in, out, GRID_X)
+#endif
+
+#define INPUT_TO_GRID_general(in, out, grid_scale) do { \
+ long long tmp__ = (long long)(grid_scale) * (in); \
+ tmp__ >>= GLITTER_INPUT_BITS; \
+ (out) = tmp__; \
+} while (0)
+
+static void
+glitter_scan_converter_add_edge (glitter_scan_converter_t *converter,
+ const cairo_edge_t *edge,
+ int clip)
+{
+ cairo_edge_t e;
+
+ INPUT_TO_GRID_Y (edge->top, e.top);
+ INPUT_TO_GRID_Y (edge->bottom, e.bottom);
+ if (e.top >= e.bottom)
+ return;
+
+ /* XXX: possible overflows if GRID_X/Y > 2**GLITTER_INPUT_BITS */
+ INPUT_TO_GRID_Y (edge->line.p1.y, e.line.p1.y);
+ INPUT_TO_GRID_Y (edge->line.p2.y, e.line.p2.y);
+ if (e.line.p1.y == e.line.p2.y)
+ return;
+
+ INPUT_TO_GRID_X (edge->line.p1.x, e.line.p1.x);
+ INPUT_TO_GRID_X (edge->line.p2.x, e.line.p2.x);
+
+ e.dir = edge->dir;
+
+ polygon_add_edge (converter->polygon, &e, clip);
+}
+
+static cairo_bool_t
+active_list_is_vertical (struct active_list *active)
+{
+ struct edge *e;
+
+ for (e = active->head; e != NULL; e = e->next) {
+ if (! e->vertical)
+ return FALSE;
+ }
+
+ return TRUE;
+}
+
+static void
+step_edges (struct active_list *active, int count)
+{
+ struct edge **cursor = &active->head;
+ struct edge *edge;
+
+ for (edge = *cursor; edge != NULL; edge = *cursor) {
+ edge->height_left -= GRID_Y * count;
+ if (edge->height_left)
+ cursor = &edge->next;
+ else
+ *cursor = edge->next;
+ }
+}
+
+static cairo_status_t
+blit_coverages (struct cell_list *cells,
+ cairo_span_renderer_t *renderer,
+ struct pool *span_pool,
+ int y, int height)
+{
+ struct cell *cell = cells->head.next;
+ int prev_x = -1;
+ int cover = 0, last_cover = 0;
+ int clip = 0;
+ cairo_half_open_span_t *spans;
+ unsigned num_spans;
+
+ assert (cell != &cells->tail);
+
+ /* Count number of cells remaining. */
+ {
+ struct cell *next = cell;
+ num_spans = 2;
+ while (next->next) {
+ next = next->next;
+ ++num_spans;
+ }
+ num_spans = 2*num_spans;
+ }
+
+ /* Allocate enough spans for the row. */
+ pool_reset (span_pool);
+ spans = pool_alloc (span_pool, sizeof(spans[0])*num_spans);
+ num_spans = 0;
+
+ /* Form the spans from the coverages and areas. */
+ for (; cell->next; cell = cell->next) {
+ int x = cell->x;
+ int area;
+
+ if (x > prev_x && cover != last_cover) {
+ spans[num_spans].x = prev_x;
+ spans[num_spans].coverage = GRID_AREA_TO_ALPHA (cover);
+ spans[num_spans].inverse = 0;
+ last_cover = cover;
+ ++num_spans;
+ }
+
+ cover += cell->covered_height*GRID_X*2;
+ clip += cell->covered_height*GRID_X*2;
+ area = cover - cell->uncovered_area;
+
+ if (area != last_cover) {
+ spans[num_spans].x = x;
+ spans[num_spans].coverage = GRID_AREA_TO_ALPHA (area);
+ spans[num_spans].inverse = 0;
+ last_cover = area;
+ ++num_spans;
+ }
+
+ prev_x = x+1;
+ }
+
+ /* Dump them into the renderer. */
+ return renderer->render_rows (renderer, y, height, spans, num_spans);
+}
+
+static void
+glitter_scan_converter_render(glitter_scan_converter_t *converter,
+ int nonzero_fill,
+ cairo_span_renderer_t *span_renderer,
+ struct pool *span_pool)
+{
+ int i, j;
+ int ymax_i = converter->ymax / GRID_Y;
+ int ymin_i = converter->ymin / GRID_Y;
+ int h = ymax_i - ymin_i;
+ struct polygon *polygon = converter->polygon;
+ struct cell_list *coverages = converter->coverages;
+ struct active_list *active = converter->active;
+
+ /* Render each pixel row. */
+ for (i = 0; i < h; i = j) {
+ int do_full_step = 0;
+
+ j = i + 1;
+
+ /* Determine if we can ignore this row or use the full pixel
+ * stepper. */
+ if (GRID_Y == EDGE_Y_BUCKET_HEIGHT && ! polygon->y_buckets[i]) {
+ if (! active->head) {
+ for (; j < h && ! polygon->y_buckets[j]; j++)
+ ;
+ continue;
+ }
+
+ do_full_step = active_list_can_step_full_row (active);
+ }
+
+ if (do_full_step) {
+ /* Step by a full pixel row's worth. */
+ if (nonzero_fill)
+ apply_nonzero_fill_rule_and_step_edges (active, coverages);
+ else
+ apply_evenodd_fill_rule_and_step_edges (active, coverages);
+
+ if (active_list_is_vertical (active)) {
+ while (j < h &&
+ polygon->y_buckets[j] == NULL &&
+ active->min_height >= 2*GRID_Y)
+ {
+ active->min_height -= GRID_Y;
+ j++;
+ }
+ if (j != i + 1)
+ step_edges (active, j - (i + 1));
+ }
+ } else {
+ grid_scaled_y_t suby;
+
+ /* Subsample this row. */
+ for (suby = 0; suby < GRID_Y; suby++) {
+ grid_scaled_y_t y = (i+ymin_i)*GRID_Y + suby;
+
+ if (polygon->y_buckets[i]) {
+ active_list_merge_edges_from_polygon (active,
+ &polygon->y_buckets[i], y,
+ polygon);
+ }
+
+ if (nonzero_fill)
+ apply_nonzero_fill_rule_for_subrow (active, coverages);
+ else
+ apply_evenodd_fill_rule_for_subrow (active, coverages);
+
+ active_list_substep_edges(active);
+ }
+ }
+
+ blit_coverages (coverages, span_renderer, span_pool, i+ymin_i, j -i);
+ cell_list_reset (coverages);
+
+ if (! active->head)
+ active->min_height = INT_MAX;
+ else
+ active->min_height -= GRID_Y;
+ }
+}
+
+struct _cairo_clip_tor_scan_converter {
+ cairo_scan_converter_t base;
+
+ glitter_scan_converter_t converter[1];
+ cairo_fill_rule_t fill_rule;
+ cairo_antialias_t antialias;
+
+ cairo_fill_rule_t clip_fill_rule;
+ cairo_antialias_t clip_antialias;
+
+ jmp_buf jmp;
+
+ struct {
+ struct pool base[1];
+ cairo_half_open_span_t embedded[32];
+ } span_pool;
+};
+
+typedef struct _cairo_clip_tor_scan_converter cairo_clip_tor_scan_converter_t;
+
+static void
+_cairo_clip_tor_scan_converter_destroy (void *converter)
+{
+ cairo_clip_tor_scan_converter_t *self = converter;
+ if (self == NULL) {
+ return;
+ }
+ _glitter_scan_converter_fini (self->converter);
+ pool_fini (self->span_pool.base);
+ free(self);
+}
+
+static cairo_status_t
+_cairo_clip_tor_scan_converter_generate (void *converter,
+ cairo_span_renderer_t *renderer)
+{
+ cairo_clip_tor_scan_converter_t *self = converter;
+ cairo_status_t status;
+
+ if ((status = setjmp (self->jmp)))
+ return _cairo_scan_converter_set_error (self, _cairo_error (status));
+
+ glitter_scan_converter_render (self->converter,
+ self->fill_rule == CAIRO_FILL_RULE_WINDING,
+ renderer,
+ self->span_pool.base);
+ return CAIRO_STATUS_SUCCESS;
+}
+
+cairo_scan_converter_t *
+_cairo_clip_tor_scan_converter_create (cairo_clip_t *clip,
+ cairo_polygon_t *polygon,
+ cairo_fill_rule_t fill_rule,
+ cairo_antialias_t antialias)
+{
+ cairo_clip_tor_scan_converter_t *self;
+ cairo_polygon_t clipper;
+ cairo_status_t status;
+ int i;
+
+ self = calloc (1, sizeof(struct _cairo_clip_tor_scan_converter));
+ if (unlikely (self == NULL)) {
+ status = _cairo_error (CAIRO_STATUS_NO_MEMORY);
+ goto bail_nomem;
+ }
+
+ self->base.destroy = _cairo_clip_tor_scan_converter_destroy;
+ self->base.generate = _cairo_clip_tor_scan_converter_generate;
+
+ pool_init (self->span_pool.base, &self->jmp,
+ 250 * sizeof(self->span_pool.embedded[0]),
+ sizeof(self->span_pool.embedded));
+
+ _glitter_scan_converter_init (self->converter, &self->jmp);
+ status = glitter_scan_converter_reset (self->converter,
+ clip->extents.y,
+ clip->extents.y + clip->extents.height);
+ if (unlikely (status))
+ goto bail;
+
+ self->fill_rule = fill_rule;
+ self->antialias = antialias;
+
+ for (i = 0; i < polygon->num_edges; i++)
+ glitter_scan_converter_add_edge (self->converter,
+ &polygon->edges[i],
+ FALSE);
+
+ status = _cairo_clip_get_polygon (clip,
+ &clipper,
+ &self->clip_fill_rule,
+ &self->clip_antialias);
+ if (unlikely (status))
+ goto bail;
+
+ for (i = 0; i < clipper.num_edges; i++)
+ glitter_scan_converter_add_edge (self->converter,
+ &clipper.edges[i],
+ TRUE);
+ _cairo_polygon_fini (&clipper);
+
+ return &self->base;
+
+ bail:
+ self->base.destroy(&self->base);
+ bail_nomem:
+ return _cairo_scan_converter_create_in_error (status);
+}
+