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gimp/app/paint/gimpink-blob.c

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/* GIMP - The GNU Image Manipulation Program
* Copyright (C) 1995-1999 Spencer Kimball and Peter Mattis
*
* gimpink-blob.c: routines for manipulating scan converted convex polygons.
* Copyright 1998-1999, Owen Taylor <otaylor@gtk.org>
*
* 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 <https://www.gnu.org/licenses/>.
*/
#include "config.h"
#include <glib-object.h>
#include "libgimpmath/gimpmath.h"
#include "paint-types.h"
#include "gimpink-blob.h"
typedef enum
{
EDGE_NONE = 0,
EDGE_LEFT = 1 << 0,
EDGE_RIGHT = 1 << 1
} EdgeType;
/* local function prototypes */
static GimpBlob * gimp_blob_new (gint y,
gint height);
static void gimp_blob_fill (GimpBlob *b,
EdgeType *present);
static void gimp_blob_make_convex (GimpBlob *b,
EdgeType *present);
#if 0
static void gimp_blob_line_add_pixel (GimpBlob *b,
gint x,
gint y);
static void gimp_blob_line (GimpBlob *b,
gint x0,
gint y0,
gint x1,
gint y1);
#endif
/* public functions */
/* Return blob for the given (convex) polygon
*/
GimpBlob *
gimp_blob_polygon (GimpBlobPoint *points,
gint n_points)
{
GimpBlob *result;
EdgeType *present;
gint i;
gint im1;
gint ip1;
gint ymin, ymax;
ymax = points[0].y;
ymin = points[0].y;
for (i = 1; i < n_points; i++)
{
if (points[i].y > ymax)
ymax = points[i].y;
if (points[i].y < ymin)
ymin = points[i].y;
}
result = gimp_blob_new (ymin, ymax - ymin + 1);
present = g_new0 (EdgeType, result->height);
im1 = n_points - 1;
i = 0;
ip1 = 1;
for (; i < n_points ; i++)
{
gint sides = 0;
gint j = points[i].y - ymin;
if (points[i].y < points[im1].y)
sides |= EDGE_RIGHT;
else if (points[i].y > points[im1].y)
sides |= EDGE_LEFT;
if (points[ip1].y < points[i].y)
sides |= EDGE_RIGHT;
else if (points[ip1].y > points[i].y)
sides |= EDGE_LEFT;
if (sides & EDGE_RIGHT)
{
if (present[j] & EDGE_RIGHT)
{
result->data[j].right = MAX (result->data[j].right, points[i].x);
}
else
{
present[j] |= EDGE_RIGHT;
result->data[j].right = points[i].x;
}
}
if (sides & EDGE_LEFT)
{
if (present[j] & EDGE_LEFT)
{
result->data[j].left = MIN (result->data[j].left, points[i].x);
}
else
{
present[j] |= EDGE_LEFT;
result->data[j].left = points[i].x;
}
}
im1 = i;
ip1++;
if (ip1 == n_points)
ip1 = 0;
}
gimp_blob_fill (result, present);
g_free (present);
return result;
}
/* Scan convert a square specified by _offsets_ of major and minor
* axes, and by center into a blob
*/
GimpBlob *
gimp_blob_square (gdouble xc,
gdouble yc,
gdouble xp,
gdouble yp,
gdouble xq,
gdouble yq)
{
GimpBlobPoint points[4];
/* Make sure we order points ccw */
if (xp * yq - xq * yp < 0)
{
xq = -xq;
yq = -yq;
}
points[0].x = xc + xp + xq;
points[0].y = yc + yp + yq;
points[1].x = xc + xp - xq;
points[1].y = yc + yp - yq;
points[2].x = xc - xp - xq;
points[2].y = yc - yp - yq;
points[3].x = xc - xp + xq;
points[3].y = yc - yp + yq;
return gimp_blob_polygon (points, 4);
}
/* Scan convert a diamond specified by _offsets_ of major and minor
* axes, and by center into a blob
*/
GimpBlob *
gimp_blob_diamond (gdouble xc,
gdouble yc,
gdouble xp,
gdouble yp,
gdouble xq,
gdouble yq)
{
GimpBlobPoint points[4];
/* Make sure we order points ccw */
if (xp * yq - xq * yp < 0)
{
xq = -xq;
yq = -yq;
}
points[0].x = xc + xp;
points[0].y = yc + yp;
points[1].x = xc - xq;
points[1].y = yc - yq;
points[2].x = xc - xp;
points[2].y = yc - yp;
points[3].x = xc + xq;
points[3].y = yc + yq;
return gimp_blob_polygon (points, 4);
}
#define TABLE_SIZE 256
#define ELLIPSE_SHIFT 2
#define TABLE_SHIFT 12
#define TOTAL_SHIFT (ELLIPSE_SHIFT + TABLE_SHIFT)
/*
* The choose of this values limits the maximal image_size to
* 16384 x 16384 pixels. The values will overflow as soon as
* x or y > INT_MAX / (1 << (ELLIPSE_SHIFT + TABLE_SHIFT)) / SUBSAMPLE
*
* Alternatively the code could be change the code as follows:
*
* xc_base = floor (xc)
* xc_shift = 0.5 + (xc - xc_base) * (1 << TOTAL_SHIFT);
*
* gint x = xc_base + (xc_shift + c * xp_shift + s * xq_shift +
* (1 << (TOTAL_SHIFT - 1))) >> TOTAL_SHIFT;
*
* which would change the limit from the image to the ellipse size
*
* Update: this change was done, and now there apparently is a limit
* on the ellipse size. I'm too lazy to fully understand what's going
* on here and simply leave this comment here for
* documentation. --Mitch
*/
static gboolean trig_initialized = FALSE;
static gint trig_table[TABLE_SIZE];
/* Scan convert an ellipse specified by _offsets_ of major and
* minor axes, and by center into a blob
*/
GimpBlob *
gimp_blob_ellipse (gdouble xc,
gdouble yc,
gdouble xp,
gdouble yp,
gdouble xq,
gdouble yq)
{
GimpBlob *result;
EdgeType *present;
gint i;
gdouble r1, r2;
gint maxy, miny;
gint step;
gdouble max_radius;
gint xc_shift, yc_shift;
gint xp_shift, yp_shift;
gint xq_shift, yq_shift;
gint xc_base, yc_base;
if (! trig_initialized)
{
trig_initialized = TRUE;
for (i = 0; i < 256; i++)
trig_table[i] = 0.5 + sin (i * (G_PI / 128.0)) * (1 << TABLE_SHIFT);
}
/* Make sure we traverse ellipse in ccw direction */
if (xp * yq - xq * yp < 0)
{
xq = -xq;
yq = -yq;
}
/* Compute bounds as if we were drawing a rectangle */
maxy = ceil (yc + fabs (yp) + fabs (yq));
miny = floor (yc - fabs (yp) - fabs (yq));
result = gimp_blob_new (miny, maxy - miny + 1);
present = g_new0 (EdgeType, result->height);
xc_base = floor (xc);
yc_base = floor (yc);
/* Figure out a step that will draw most of the points */
r1 = sqrt (xp * xp + yp * yp);
r2 = sqrt (xq * xq + yq * yq);
max_radius = MAX (r1, r2);
step = TABLE_SIZE;
while (step > 1 && (TABLE_SIZE / step < 4 * max_radius))
step >>= 1;
/* Fill in the edge points */
xc_shift = 0.5 + (xc - xc_base) * (1 << TOTAL_SHIFT);
yc_shift = 0.5 + (yc - yc_base) * (1 << TOTAL_SHIFT);
xp_shift = 0.5 + xp * (1 << ELLIPSE_SHIFT);
yp_shift = 0.5 + yp * (1 << ELLIPSE_SHIFT);
xq_shift = 0.5 + xq * (1 << ELLIPSE_SHIFT);
yq_shift = 0.5 + yq * (1 << ELLIPSE_SHIFT);
for (i = 0 ; i < TABLE_SIZE ; i += step)
{
gint s = trig_table[i];
gint c = trig_table[(TABLE_SIZE + TABLE_SIZE / 4 - i) % TABLE_SIZE];
gint x = ((xc_shift + c * xp_shift + s * xq_shift +
(1 << (TOTAL_SHIFT - 1))) >> TOTAL_SHIFT) + xc_base;
gint y = (((yc_shift + c * yp_shift + s * yq_shift +
(1 << (TOTAL_SHIFT - 1))) >> TOTAL_SHIFT)) + yc_base
- result->y;
gint dydi = c * yq_shift - s * yp_shift;
if (dydi <= 0) /* left edge */
{
if (present[y] & EDGE_LEFT)
{
result->data[y].left = MIN (result->data[y].left, x);
}
else
{
present[y] |= EDGE_LEFT;
result->data[y].left = x;
}
}
if (dydi >= 0) /* right edge */
{
if (present[y] & EDGE_RIGHT)
{
result->data[y].right = MAX (result->data[y].right, x);
}
else
{
present[y] |= EDGE_RIGHT;
result->data[y].right = x;
}
}
}
/* Now fill in missing points */
gimp_blob_fill (result, present);
g_free (present);
return result;
}
void
gimp_blob_bounds (GimpBlob *b,
gint *x,
gint *y,
gint *width,
gint *height)
{
gint i;
gint x0, x1, y0, y1;
i = 0;
while (i < b->height && b->data[i].left > b->data[i].right)
i++;
if (i < b->height)
{
y0 = b->y + i;
x0 = b->data[i].left;
x1 = b->data[i].right + 1;
while (i < b->height && b->data[i].left <= b->data[i].right)
{
x0 = MIN (b->data[i].left, x0);
x1 = MAX (b->data[i].right + 1, x1);
i++;
}
y1 = b->y + i;
}
else
{
x0 = y0 = 0;
x1 = y1 = 0;
}
*x = x0;
*y = y0;
*width = x1 - x0;
*height = y1 - y0;
}
GimpBlob *
gimp_blob_convex_union (GimpBlob *b1,
GimpBlob *b2)
{
GimpBlob *result;
gint y;
gint i, j;
EdgeType *present;
/* Create the storage for the result */
y = MIN (b1->y, b2->y);
result = gimp_blob_new (y, MAX (b1->y + b1->height, b2->y + b2->height)-y);
if (result->height == 0)
return result;
present = g_new0 (EdgeType, result->height);
/* Initialize spans from original objects */
for (i = 0, j = b1->y-y; i < b1->height; i++, j++)
{
if (b1->data[i].right >= b1->data[i].left)
{
present[j] = EDGE_LEFT | EDGE_RIGHT;
result->data[j].left = b1->data[i].left;
result->data[j].right = b1->data[i].right;
}
}
for (i = 0, j = b2->y - y; i < b2->height; i++, j++)
{
if (b2->data[i].right >= b2->data[i].left)
{
if (present[j])
{
if (result->data[j].left > b2->data[i].left)
result->data[j].left = b2->data[i].left;
if (result->data[j].right < b2->data[i].right)
result->data[j].right = b2->data[i].right;
}
else
{
present[j] = EDGE_LEFT | EDGE_RIGHT;
result->data[j].left = b2->data[i].left;
result->data[j].right = b2->data[i].right;
}
}
}
gimp_blob_make_convex (result, present);
g_free (present);
return result;
}
GimpBlob *
gimp_blob_duplicate (GimpBlob *b)
{
g_return_val_if_fail (b != NULL, NULL);
return g_memdup (b, sizeof (GimpBlob) + sizeof (GimpBlobSpan) * (b->height - 1));
}
#if 0
void
gimp_blob_dump (GimpBlob *b)
{
gint i,j;
for (i = 0; i < b->height; i++)
{
for (j = 0; j < b->data[i].left; j++)
putchar (' ');
for (j = b->data[i].left; j <= b->data[i].right; j++)
putchar ('*');
putchar ('\n');
}
}
#endif
/* private functions */
static GimpBlob *
gimp_blob_new (gint y,
gint height)
{
GimpBlob *result;
result = g_malloc (sizeof (GimpBlob) + sizeof (GimpBlobSpan) * (height - 1));
result->y = y;
result->height = height;
return result;
}
static void
gimp_blob_fill (GimpBlob *b,
EdgeType *present)
{
gint start;
gint x1, x2, i1, i2;
gint i;
/* Mark empty lines at top and bottom as unused */
start = 0;
while (! present[start])
{
b->data[start].left = 0;
b->data[start].right = -1;
start++;
}
if (present[start] != (EDGE_RIGHT | EDGE_LEFT))
{
if (present[start] == EDGE_RIGHT)
b->data[start].left = b->data[start].right;
else
b->data[start].right = b->data[start].left;
present[start] = EDGE_RIGHT | EDGE_LEFT;
}
for (i = b->height - 1; ! present[i]; i--)
{
b->data[i].left = 0;
b->data[i].right = -1;
}
if (present[i] != (EDGE_RIGHT | EDGE_LEFT))
{
if (present[i] == EDGE_RIGHT)
b->data[i].left = b->data[i].right;
else
b->data[i].right = b->data[i].left;
present[i] = EDGE_RIGHT | EDGE_LEFT;
}
/* Restore missing edges */
/* We fill only interior regions of convex hull, as if we were
* filling polygons. But since we draw ellipses with nearest points,
* not interior points, maybe it would look better if we did the
* same here. Probably not a big deal either way after anti-aliasing
*/
/* left edge */
for (i1 = start; i1 < b->height - 2; i1++)
{
/* Find empty gaps */
if (! (present[i1 + 1] & EDGE_LEFT))
{
gint increment; /* fractional part */
gint denom; /* denominator of fraction */
gint step; /* integral step */
gint frac; /* fractional step */
gint reverse;
/* find bottom of gap */
i2 = i1 + 2;
while (i2 < b->height && ! (present[i2] & EDGE_LEFT))
i2++;
if (i2 < b->height)
{
denom = i2 - i1;
x1 = b->data[i1].left;
x2 = b->data[i2].left;
step = (x2 - x1) / denom;
frac = x2 - x1 - step * denom;
if (frac < 0)
{
frac = -frac;
reverse = 1;
}
else
reverse = 0;
increment = 0;
for (i = i1 + 1; i < i2; i++)
{
x1 += step;
increment += frac;
if (increment >= denom)
{
increment -= denom;
x1 += reverse ? -1 : 1;
}
if (increment == 0 || reverse)
b->data[i].left = x1;
else
b->data[i].left = x1 + 1;
}
}
i1 = i2 - 1; /* advance to next possibility */
}
}
/* right edge */
for (i1 = start; i1 < b->height - 2; i1++)
{
/* Find empty gaps */
if (! (present[i1 + 1] & EDGE_RIGHT))
{
gint increment; /* fractional part */
gint denom; /* denominator of fraction */
gint step; /* integral step */
gint frac; /* fractional step */
gint reverse;
/* find bottom of gap */
i2 = i1 + 2;
while (i2 < b->height && ! (present[i2] & EDGE_RIGHT))
i2++;
if (i2 < b->height)
{
denom = i2 - i1;
x1 = b->data[i1].right;
x2 = b->data[i2].right;
step = (x2 - x1) / denom;
frac = x2 - x1 - step * denom;
if (frac < 0)
{
frac = -frac;
reverse = 1;
}
else
reverse = 0;
increment = 0;
for (i = i1 + 1; i<i2; i++)
{
x1 += step;
increment += frac;
if (increment >= denom)
{
increment -= denom;
x1 += reverse ? -1 : 1;
}
if (reverse && increment != 0)
b->data[i].right = x1 - 1;
else
b->data[i].right = x1;
}
}
i1 = i2 - 1; /* advance to next possibility */
}
}
}
static void
gimp_blob_make_convex (GimpBlob *b,
EdgeType *present)
{
gint x1, x2, y1, y2, i1, i2;
gint i;
gint start;
/* Walk through edges, deleting points that aren't on convex hull */
start = 0;
while (! present[start])
start++;
/* left edge */
i1 = start - 1;
i2 = start;
x1 = b->data[start].left - b->data[start].right;
y1 = 0;
for (i = start + 1; i < b->height; i++)
{
if (! (present[i] & EDGE_LEFT))
continue;
x2 = b->data[i].left - b->data[i2].left;
y2 = i - i2;
while (x2 * y1 - x1 * y2 < 0) /* clockwise rotation */
{
present[i2] &= ~EDGE_LEFT;
i2 = i1;
while ((--i1) >= start && (! (present[i1] & EDGE_LEFT)));
if (i1 < start)
{
x1 = b->data[start].left - b->data[start].right;
y1 = 0;
}
else
{
x1 = b->data[i2].left - b->data[i1].left;
y1 = i2 - i1;
}
x2 = b->data[i].left - b->data[i2].left;
y2 = i - i2;
}
x1 = x2;
y1 = y2;
i1 = i2;
i2 = i;
}
/* Right edge */
i1 = start -1;
i2 = start;
x1 = b->data[start].right - b->data[start].left;
y1 = 0;
for (i = start + 1; i < b->height; i++)
{
if (! (present[i] & EDGE_RIGHT))
continue;
x2 = b->data[i].right - b->data[i2].right;
y2 = i - i2;
while (x2 * y1 - x1 * y2 > 0) /* counter-clockwise rotation */
{
present[i2] &= ~EDGE_RIGHT;
i2 = i1;
while ((--i1) >= start && (! (present[i1] & EDGE_RIGHT)));
if (i1 < start)
{
x1 = b->data[start].right - b->data[start].left;
y1 = 0;
}
else
{
x1 = b->data[i2].right - b->data[i1].right;
y1 = i2 - i1;
}
x2 = b->data[i].right - b->data[i2].right;
y2 = i - i2;
}
x1 = x2;
y1 = y2;
i1 = i2;
i2 = i;
}
gimp_blob_fill (b, present);
}
#if 0
static void
gimp_blob_line_add_pixel (GimpBlob *b,
gint x,
gint y)
{
if (b->data[y - b->y].left > b->data[y - b->y].right)
{
b->data[y - b->y].left = b->data[y - b->y].right = x;
}
else
{
b->data[y - b->y].left = MIN (b->data[y - b->y].left, x);
b->data[y - b->y].right = MAX (b->data[y - b->y].right, x);
}
}
static void
gimp_blob_line (GimpBlob *b,
gint x0,
gint y0,
gint x1,
gint y1)
{
gint dx, dy, d;
gint incrE, incrNE;
gint x, y;
gint xstep = 1;
gint ystep = 1;
dx = x1 - x0;
dy = y1 - y0;
if (dx < 0)
{
dx = -dx;
xstep = -1;
}
if (dy < 0)
{
dy = -dy;
ystep = -1;
}
/* for (y = y0; y != y1 + ystep ; y += ystep)
{
b->data[y-b->y].left = 0;
b->data[y-b->y].right = -1;
}*/
x = x0;
y = y0;
if (dy < dx)
{
d = 2 * dy - dx; /* initial value of d */
incrE = 2 * dy; /* increment used for move to E */
incrNE = 2 * (dy - dx); /* increment used for move to NE */
gimp_blob_line_add_pixel (b, x, y);
while (x != x1)
{
if (d <= 0)
{
d += incrE;
x += xstep;
}
else
{
d += incrNE;
x += xstep;
y += ystep;
}
gimp_blob_line_add_pixel (b, x, y);
}
}
else
{
d = 2 * dx - dy; /* initial value of d */
incrE = 2 * dx; /* increment used for move to E */
incrNE = 2 * (dx - dy); /* increment used for move to NE */
gimp_blob_line_add_pixel (b, x, y);
while (y != y1)
{
if (d <= 0)
{
d += incrE;
y += ystep;
}
else
{
d += incrNE;
x += xstep;
y += ystep;
}
gimp_blob_line_add_pixel (b, x, y);
}
}
}
#endif
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