gimp/app/base/boundary.c

1019 lines
28 KiB
C

/* GIMP - The GNU Image Manipulation Program
* Copyright (C) 1995 Spencer Kimball and Peter Mattis
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include "config.h"
#include <stdlib.h>
#include <string.h>
#include <glib-object.h>
#include "libgimpmath/gimpmath.h"
#include "base-types.h"
#include "boundary.h"
#include "pixel-region.h"
#include "tile.h"
#include "tile-manager.h"
/* BoundSeg array growth parameter */
#define MAX_SEGS_INC 2048
typedef struct _Boundary Boundary;
struct _Boundary
{
/* The array of segments */
BoundSeg *segs;
gint num_segs;
gint max_segs;
/* The array of vertical segments */
gint *vert_segs;
/* The empty segment arrays */
gint *empty_segs_n;
gint *empty_segs_c;
gint *empty_segs_l;
gint max_empty_segs;
};
/* local function prototypes */
static Boundary * boundary_new (PixelRegion *PR);
static BoundSeg * boundary_free (Boundary *boundary,
gboolean free_segs);
static void boundary_add_seg (Boundary *bounrady,
gint x1,
gint y1,
gint x2,
gint y2,
gboolean open);
static void find_empty_segs (PixelRegion *maskPR,
gint scanline,
gint empty_segs[],
gint max_empty,
gint *num_empty,
BoundaryType type,
gint x1,
gint y1,
gint x2,
gint y2,
guchar threshold);
static void process_horiz_seg (Boundary *boundary,
gint x1,
gint y1,
gint x2,
gint y2,
gboolean open);
static void make_horiz_segs (Boundary *boundary,
gint start,
gint end,
gint scanline,
gint empty[],
gint num_empty,
gint top);
static Boundary * generate_boundary (PixelRegion *PR,
BoundaryType type,
gint x1,
gint y1,
gint x2,
gint y2,
guchar threshold);
static gint cmp_segptr_xy1_addr (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b);
static gint cmp_segptr_xy2_addr (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b);
static gint cmp_segptr_xy1 (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b);
static gint cmp_segptr_xy2 (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b);
static const BoundSeg * find_segment (const BoundSeg **segs_by_xy1,
const BoundSeg **segs_by_xy2,
gint num_segs,
gint x,
gint y);
static const BoundSeg * find_segment_with_func (const BoundSeg **segs,
gint num_segs,
const BoundSeg *search_seg,
GCompareFunc cmp_func);
static void simplify_subdivide (const BoundSeg *segs,
gint start_idx,
gint end_idx,
GArray **ret_points);
/* public functions */
/**
* boundary_find:
* @maskPR: any PixelRegion
* @type: type of bounds
* @x1: left side of bounds
* @y1: top side of bounds
* @x2: right side of bounds
* @y2: botton side of bounds
* @threshold: pixel value of boundary line
* @num_segs: number of returned #BoundSeg's
*
* This function returns an array of #BoundSeg's which describe all
* outlines along pixel value @threahold, optionally within specified
* bounds instead of the whole region.
*
* The @maskPR paramater can be any PixelRegion. If the region has
* more than 1 bytes/pixel, the last byte of each pixel is used to
* determine the boundary outline.
*
* Return value: the boundary array.
**/
BoundSeg *
boundary_find (PixelRegion *maskPR,
BoundaryType type,
int x1,
int y1,
int x2,
int y2,
guchar threshold,
int *num_segs)
{
Boundary *boundary;
g_return_val_if_fail (maskPR != NULL, NULL);
g_return_val_if_fail (num_segs != NULL, NULL);
boundary = generate_boundary (maskPR, type, x1, y1, x2, y2, threshold);
*num_segs = boundary->num_segs;
return boundary_free (boundary, FALSE);
}
/**
* boundary_sort:
* @segs: unsorted input segs.
* @num_segs: number of input segs
* @num_groups: number of groups in the sorted segs
*
* This function takes an array of #BoundSeg's as returned by
* boundary_find() and sorts it by contiguous groups. The returned
* array contains markers consisting of -1 coordinates and is
* @num_groups elements longer than @segs.
*
* Return value: the sorted segs
**/
BoundSeg *
boundary_sort (const BoundSeg *segs,
gint num_segs,
gint *num_groups)
{
Boundary *boundary;
const BoundSeg **segs_ptrs_by_xy1;
const BoundSeg **segs_ptrs_by_xy2;
gint index;
gint x, y;
gint startx, starty;
g_return_val_if_fail ((segs == NULL && num_segs == 0) ||
(segs != NULL && num_segs > 0), NULL);
g_return_val_if_fail (num_groups != NULL, NULL);
*num_groups = 0;
if (num_segs == 0)
return NULL;
/* prepare arrays with BoundSeg pointers sorted by xy1 and xy2 accordingly */
segs_ptrs_by_xy1 = g_new (const BoundSeg *, num_segs);
segs_ptrs_by_xy2 = g_new (const BoundSeg *, num_segs);
for (index = 0; index < num_segs; index++)
{
segs_ptrs_by_xy1[index] = segs + index;
segs_ptrs_by_xy2[index] = segs + index;
}
qsort (segs_ptrs_by_xy1, num_segs, sizeof (BoundSeg *),
(GCompareFunc) cmp_segptr_xy1_addr);
qsort (segs_ptrs_by_xy2, num_segs, sizeof (BoundSeg *),
(GCompareFunc) cmp_segptr_xy2_addr);
for (index = 0; index < num_segs; index++)
((BoundSeg *) segs)[index].visited = FALSE;
boundary = boundary_new (NULL);
for (index = 0; index < num_segs; index++)
{
const BoundSeg *cur_seg;
if (segs[index].visited)
continue;
boundary_add_seg (boundary,
segs[index].x1, segs[index].y1,
segs[index].x2, segs[index].y2,
segs[index].open);
((BoundSeg *) segs)[index].visited = TRUE;
startx = segs[index].x1;
starty = segs[index].y1;
x = segs[index].x2;
y = segs[index].y2;
while ((cur_seg = find_segment (segs_ptrs_by_xy1, segs_ptrs_by_xy2,
num_segs, x, y)) != NULL)
{
/* make sure ordering is correct */
if (x == cur_seg->x1 && y == cur_seg->y1)
{
boundary_add_seg (boundary,
cur_seg->x1, cur_seg->y1,
cur_seg->x2, cur_seg->y2,
cur_seg->open);
x = cur_seg->x2;
y = cur_seg->y2;
}
else
{
boundary_add_seg (boundary,
cur_seg->x2, cur_seg->y2,
cur_seg->x1, cur_seg->y1,
cur_seg->open);
x = cur_seg->x1;
y = cur_seg->y1;
}
((BoundSeg *) cur_seg)->visited = TRUE;
}
if (G_UNLIKELY (x != startx || y != starty))
g_warning ("sort_boundary(): Unconnected boundary group!");
/* Mark the end of a group */
*num_groups = *num_groups + 1;
boundary_add_seg (boundary, -1, -1, -1, -1, 0);
}
g_free (segs_ptrs_by_xy1);
g_free (segs_ptrs_by_xy2);
return boundary_free (boundary, FALSE);
}
/**
* boundary_simplify:
* @sorted_segs: sorted input segs
* @num_groups: number of groups in the sorted segs
* @num_segs: number of returned segs.
*
* This function takes an array of #BoundSeg's which has been sorted
* with boundary_sort() and reduces the number of segments while
* preserving the general shape as close as possible.
*
* Return value: the simplified segs.
**/
BoundSeg *
boundary_simplify (BoundSeg *sorted_segs,
gint num_groups,
gint *num_segs)
{
GArray *new_bounds;
gint i, seg;
g_return_val_if_fail ((sorted_segs == NULL && num_groups == 0) ||
(sorted_segs != NULL && num_groups > 0), NULL);
g_return_val_if_fail (num_segs != NULL, NULL);
new_bounds = g_array_new (FALSE, FALSE, sizeof (BoundSeg));
seg = 0;
for (i = 0; i < num_groups; i++)
{
gint start = seg;
gint n_points = 0;
while (sorted_segs[seg].x1 != -1 ||
sorted_segs[seg].x2 != -1 ||
sorted_segs[seg].y1 != -1 ||
sorted_segs[seg].y2 != -1)
{
n_points++;
seg++;
}
if (n_points > 0)
{
GArray *tmp_points;
BoundSeg tmp_seg;
gint j;
tmp_points = g_array_new (FALSE, FALSE, sizeof (gint));
/* temporarily use the delimiter to close the polygon */
tmp_seg = sorted_segs[seg];
sorted_segs[seg] = sorted_segs[start];
simplify_subdivide (sorted_segs,
start, start + n_points, &tmp_points);
sorted_segs[seg] = tmp_seg;
for (j = 0; j < tmp_points->len; j++)
g_array_append_val (new_bounds,
sorted_segs[g_array_index (tmp_points,
gint, j)]);
g_array_append_val (new_bounds, sorted_segs[seg]);
g_array_free (tmp_points, TRUE);
}
seg++;
}
*num_segs = new_bounds->len;
return (BoundSeg *) g_array_free (new_bounds, FALSE);
}
/*Transform boundary based on a matrix*/
BoundSeg * boundary_transform (const BoundSeg *segs,
gint *num_segs,
GimpMatrix3 *matrix)
{
Boundary *boundary = boundary_new(NULL);
gint i;
for (i = 0; i < *num_segs; i++)
{
/*dont transform sorting sentinels*/
if (!(segs[i].x1 == -1 &&
segs[i].y1 == -1 &&
segs[i].x2 == -1 &&
segs[i].y2 == -1))
{
gdouble x1, y1, x2, y2;
gimp_matrix3_transform_point (matrix, segs[i].x1, segs[i].y1, &x1, &y1);
gimp_matrix3_transform_point (matrix, segs[i].x2, segs[i].y2, &x2, &y2);
boundary_add_seg (boundary,
(gint) ceil(x1), (gint) ceil(y1),
(gint) ceil(x2), (gint) ceil(y2),
segs[i].open);
}
else
{
/*Keep the sorting sentinel*/
boundary_add_seg (boundary,
-1, -1,
-1, -1,
segs[i].open);
}
}
*num_segs = boundary->num_segs;
return boundary_free(boundary, FALSE);
}
/* private functions */
static Boundary *
boundary_new (PixelRegion *PR)
{
Boundary *boundary = g_slice_new0 (Boundary);
if (PR)
{
gint i;
/* array for determining the vertical line segments
* which must be drawn
*/
boundary->vert_segs = g_new (gint, PR->w + PR->x + 1);
for (i = 0; i <= (PR->w + PR->x); i++)
boundary->vert_segs[i] = -1;
/* find the maximum possible number of empty segments
* given the current mask
*/
boundary->max_empty_segs = PR->w + 3;
boundary->empty_segs_n = g_new (gint, boundary->max_empty_segs);
boundary->empty_segs_c = g_new (gint, boundary->max_empty_segs);
boundary->empty_segs_l = g_new (gint, boundary->max_empty_segs);
}
return boundary;
}
static BoundSeg *
boundary_free (Boundary *boundary,
gboolean free_segs)
{
BoundSeg *segs = NULL;
if (free_segs)
g_free (boundary->segs);
else
segs = boundary->segs;
g_free (boundary->vert_segs);
g_free (boundary->empty_segs_n);
g_free (boundary->empty_segs_c);
g_free (boundary->empty_segs_l);
g_slice_free (Boundary, boundary);
return segs;
}
static void
boundary_add_seg (Boundary *boundary,
gint x1,
gint y1,
gint x2,
gint y2,
gboolean open)
{
if (boundary->num_segs >= boundary->max_segs)
{
boundary->max_segs += MAX_SEGS_INC;
boundary->segs = g_renew (BoundSeg, boundary->segs, boundary->max_segs);
}
boundary->segs[boundary->num_segs].x1 = x1;
boundary->segs[boundary->num_segs].y1 = y1;
boundary->segs[boundary->num_segs].x2 = x2;
boundary->segs[boundary->num_segs].y2 = y2;
boundary->segs[boundary->num_segs].open = open;
boundary->num_segs ++;
}
static void
find_empty_segs (PixelRegion *maskPR,
gint scanline,
gint empty_segs[],
gint max_empty,
gint *num_empty,
BoundaryType type,
gint x1,
gint y1,
gint x2,
gint y2,
guchar threshold)
{
const guchar *data = NULL;
Tile *tile = NULL;
gint start = 0;
gint end = 0;
gint endx = 0;
gint bpp = 0;
gint tilex = -1;
gint last = -1;
gint l_num_empty;
gint x;
*num_empty = 0;
if (scanline < maskPR->y || scanline >= (maskPR->y + maskPR->h))
{
empty_segs[(*num_empty)++] = 0;
empty_segs[(*num_empty)++] = G_MAXINT;
return;
}
if (type == BOUNDARY_WITHIN_BOUNDS)
{
if (scanline < y1 || scanline >= y2)
{
empty_segs[(*num_empty)++] = 0;
empty_segs[(*num_empty)++] = G_MAXINT;
return;
}
start = x1;
end = x2;
}
else if (type == BOUNDARY_IGNORE_BOUNDS)
{
start = maskPR->x;
end = maskPR->x + maskPR->w;
if (scanline < y1 || scanline >= y2)
x2 = -1;
}
empty_segs[(*num_empty)++] = 0;
l_num_empty = *num_empty;
bpp = maskPR->bytes;
if (! maskPR->tiles)
{
data = maskPR->data + scanline * maskPR->rowstride;
endx = end;
}
for (x = start; x < end;)
{
/* Check to see if we must advance to next tile */
if (maskPR->tiles)
{
if ((x / TILE_WIDTH) != tilex)
{
if (tile)
tile_release (tile, FALSE);
tile = tile_manager_get_tile (maskPR->tiles,
x, scanline, TRUE, FALSE);
data = ((const guchar *) tile_data_pointer (tile, x, scanline) +
bpp - 1);
tilex = x / TILE_WIDTH;
}
endx = x + (TILE_WIDTH - (x % TILE_WIDTH));
endx = MIN (end, endx);
}
if (type == BOUNDARY_IGNORE_BOUNDS && (endx > x1 || x < x2))
{
for (; x < endx; x++)
{
gint val;
if (*data > threshold)
{
if (x >= x1 && x < x2)
val = -1;
else
val = 1;
}
else
{
val = -1;
}
data += bpp;
if (last != val)
empty_segs[l_num_empty++] = x;
last = val;
}
}
else
{
for (; x < endx; x++)
{
gint val;
if (*data > threshold)
val = 1;
else
val = -1;
data += bpp;
if (last != val)
empty_segs[l_num_empty++] = x;
last = val;
}
}
}
*num_empty = l_num_empty;
if (last > 0)
empty_segs[(*num_empty)++] = x;
empty_segs[(*num_empty)++] = G_MAXINT;
if (tile)
tile_release (tile, FALSE);
}
static void
process_horiz_seg (Boundary *boundary,
gint x1,
gint y1,
gint x2,
gint y2,
gboolean open)
{
/* This procedure accounts for any vertical segments that must be
drawn to close in the horizontal segments. */
if (boundary->vert_segs[x1] >= 0)
{
boundary_add_seg (boundary, x1, boundary->vert_segs[x1], x1, y1, !open);
boundary->vert_segs[x1] = -1;
}
else
boundary->vert_segs[x1] = y1;
if (boundary->vert_segs[x2] >= 0)
{
boundary_add_seg (boundary, x2, boundary->vert_segs[x2], x2, y2, open);
boundary->vert_segs[x2] = -1;
}
else
boundary->vert_segs[x2] = y2;
boundary_add_seg (boundary, x1, y1, x2, y2, open);
}
static void
make_horiz_segs (Boundary *boundary,
gint start,
gint end,
gint scanline,
gint empty[],
gint num_empty,
gint top)
{
gint empty_index;
gint e_s, e_e; /* empty segment start and end values */
for (empty_index = 0; empty_index < num_empty; empty_index += 2)
{
e_s = *empty++;
e_e = *empty++;
if (e_s <= start && e_e >= end)
{
process_horiz_seg (boundary,
start, scanline, end, scanline, top);
}
else if ((e_s > start && e_s < end) ||
(e_e < end && e_e > start))
{
process_horiz_seg (boundary,
MAX (e_s, start), scanline,
MIN (e_e, end), scanline, top);
}
}
}
static Boundary *
generate_boundary (PixelRegion *PR,
BoundaryType type,
gint x1,
gint y1,
gint x2,
gint y2,
guchar threshold)
{
Boundary *boundary;
gint scanline;
gint i;
gint start, end;
gint *tmp_segs;
gint num_empty_n = 0;
gint num_empty_c = 0;
gint num_empty_l = 0;
boundary = boundary_new (PR);
start = 0;
end = 0;
if (type == BOUNDARY_WITHIN_BOUNDS)
{
start = y1;
end = y2;
}
else if (type == BOUNDARY_IGNORE_BOUNDS)
{
start = PR->y;
end = PR->y + PR->h;
}
/* Find the empty segments for the previous and current scanlines */
find_empty_segs (PR, start - 1, boundary->empty_segs_l,
boundary->max_empty_segs, &num_empty_l,
type, x1, y1, x2, y2,
threshold);
find_empty_segs (PR, start, boundary->empty_segs_c,
boundary->max_empty_segs, &num_empty_c,
type, x1, y1, x2, y2,
threshold);
for (scanline = start; scanline < end; scanline++)
{
/* find the empty segment list for the next scanline */
find_empty_segs (PR, scanline + 1, boundary->empty_segs_n,
boundary->max_empty_segs, &num_empty_n,
type, x1, y1, x2, y2,
threshold);
/* process the segments on the current scanline */
for (i = 1; i < num_empty_c - 1; i += 2)
{
make_horiz_segs (boundary,
boundary->empty_segs_c [i],
boundary->empty_segs_c [i+1],
scanline,
boundary->empty_segs_l, num_empty_l, 1);
make_horiz_segs (boundary,
boundary->empty_segs_c [i],
boundary->empty_segs_c [i+1],
scanline + 1,
boundary->empty_segs_n, num_empty_n, 0);
}
/* get the next scanline of empty segments, swap others */
tmp_segs = boundary->empty_segs_l;
boundary->empty_segs_l = boundary->empty_segs_c;
num_empty_l = num_empty_c;
boundary->empty_segs_c = boundary->empty_segs_n;
num_empty_c = num_empty_n;
boundary->empty_segs_n = tmp_segs;
}
return boundary;
}
/* sorting utility functions */
static inline gint
cmp_xy (const gint ax,
const gint ay,
const gint bx,
const gint by)
{
if (ay < by)
{
return -1;
}
else if (ay > by)
{
return 1;
}
else if (ax < bx)
{
return -1;
}
else if (ax > bx)
{
return 1;
}
else
{
return 0;
}
}
/*
* Compares (x1, y1) pairs in specified segments, using their addresses if
* (x1, y1) pairs are equal.
*/
static gint
cmp_segptr_xy1_addr (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b)
{
const BoundSeg *seg_a = *seg_ptr_a;
const BoundSeg *seg_b = *seg_ptr_b;
gint result = cmp_xy (seg_a->x1, seg_a->y1, seg_b->x1, seg_b->y1);
if (result == 0)
{
if (seg_a < seg_b)
result = -1;
else if (seg_a > seg_b)
result = 1;
}
return result;
}
/*
* Compares (x2, y2) pairs in specified segments, using their addresses if
* (x2, y2) pairs are equal.
*/
static gint
cmp_segptr_xy2_addr (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b)
{
const BoundSeg *seg_a = *seg_ptr_a;
const BoundSeg *seg_b = *seg_ptr_b;
gint result = cmp_xy (seg_a->x2, seg_a->y2, seg_b->x2, seg_b->y2);
if (result == 0)
{
if (seg_a < seg_b)
result = -1;
else if (seg_a > seg_b)
result = 1;
}
return result;
}
/*
* Compares (x1, y1) pairs in specified segments.
*/
static gint
cmp_segptr_xy1 (const BoundSeg **seg_ptr_a, const BoundSeg **seg_ptr_b)
{
const BoundSeg *seg_a = *seg_ptr_a, *seg_b = *seg_ptr_b;
return cmp_xy (seg_a->x1, seg_a->y1, seg_b->x1, seg_b->y1);
}
/*
* Compares (x2, y2) pairs in specified segments.
*/
static gint
cmp_segptr_xy2 (const BoundSeg **seg_ptr_a,
const BoundSeg **seg_ptr_b)
{
const BoundSeg *seg_a = *seg_ptr_a;
const BoundSeg *seg_b = *seg_ptr_b;
return cmp_xy (seg_a->x2, seg_a->y2, seg_b->x2, seg_b->y2);
}
static const BoundSeg *
find_segment (const BoundSeg **segs_by_xy1,
const BoundSeg **segs_by_xy2,
gint num_segs,
gint x,
gint y)
{
const BoundSeg *segptr_xy1;
const BoundSeg *segptr_xy2;
BoundSeg search_seg;
search_seg.x1 = search_seg.x2 = x;
search_seg.y1 = search_seg.y2 = y;
segptr_xy1 = find_segment_with_func (segs_by_xy1, num_segs, &search_seg,
(GCompareFunc) cmp_segptr_xy1);
segptr_xy2 = find_segment_with_func (segs_by_xy2, num_segs, &search_seg,
(GCompareFunc) cmp_segptr_xy2);
/* return segment with smaller address */
if (segptr_xy1 != NULL && segptr_xy2 != NULL)
return MIN(segptr_xy1, segptr_xy2);
else if (segptr_xy1 != NULL)
return segptr_xy1;
else if (segptr_xy2 != NULL)
return segptr_xy2;
return NULL;
}
static const BoundSeg *
find_segment_with_func (const BoundSeg **segs,
gint num_segs,
const BoundSeg *search_seg,
GCompareFunc cmp_func)
{
const BoundSeg **seg;
const BoundSeg *found_seg = NULL;
seg = bsearch (&search_seg, segs, num_segs, sizeof (BoundSeg *), cmp_func);
if (seg != NULL)
{
/* find first matching segment */
while (seg > segs && cmp_func (seg - 1, &search_seg) == 0)
seg--;
/* find first non-visited segment */
while (seg != segs + num_segs && cmp_func (seg, &search_seg) == 0)
if (!(*seg)->visited)
{
found_seg = *seg;
break;
}
else
seg++;
}
return found_seg;
}
/* simplifying utility functions */
static void
simplify_subdivide (const BoundSeg *segs,
gint start_idx,
gint end_idx,
GArray **ret_points)
{
gint maxdist_idx;
gint maxdist;
gint threshold;
gint i, dx, dy;
if (end_idx - start_idx < 2)
{
*ret_points = g_array_append_val (*ret_points, start_idx);
return;
}
maxdist = 0;
maxdist_idx = -1;
if (segs[start_idx].x1 == segs[end_idx].x1 &&
segs[start_idx].y1 == segs[end_idx].y1)
{
/* start and endpoint are at the same coordinates */
for (i = start_idx + 1; i < end_idx; i++)
{
/* compare the sqared distances */
gint dist = (SQR (segs[i].x1 - segs[start_idx].x1) +
SQR (segs[i].y1 - segs[start_idx].y1));
if (dist > maxdist)
{
maxdist = dist;
maxdist_idx = i;
}
}
threshold = 1;
}
else
{
dx = segs[end_idx].x1 - segs[start_idx].x1;
dy = segs[end_idx].y1 - segs[start_idx].y1;
for (i = start_idx + 1; i < end_idx; i++)
{
/* this is not really the euclidic distance, but is
* proportional for this part of the line
* (for the real distance we'd have to divide by
* (SQR(dx)+SQR(dy)))
*/
gint dist = abs (dx * (segs[start_idx].y1 - segs[i].y1) -
dy * (segs[start_idx].x1 - segs[i].x1));
if (dist > maxdist)
{
maxdist = dist;
maxdist_idx = i;
}
}
/* threshold is chosen to catch 45 degree stairs */
threshold = SQR (dx) + SQR (dy);
}
if (maxdist <= threshold)
{
*ret_points = g_array_append_val (*ret_points, start_idx);
return;
}
/* Simons hack */
maxdist_idx = (start_idx + end_idx) / 2;
simplify_subdivide (segs, start_idx, maxdist_idx, ret_points);
simplify_subdivide (segs, maxdist_idx, end_idx, ret_points);
}