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authorsaurabhb172020-02-26 16:36:01 +0530
committersaurabhb172020-02-26 16:36:01 +0530
commit1fa449fed953fa11f6bd0ea82cc2d3b115ee0781 (patch)
treead18839d8b4eb1f13419d07878cc4ec4c9b70032 /potrace/decompose.cpp
parentc38609295ad4b617aef472b9c575aee18710a50f (diff)
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+/* Copyright (C) 2001-2007 Peter Selinger.
+ * This file is part of Potrace. It is free software and it is covered
+ * by the GNU General Public License. See the file COPYING for details. */
+
+/* $Id: decompose.c 146 2007-04-09 00:43:46Z selinger $ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+
+#include <potracelib.h>
+#include <curve.h>
+#include <lists.h>
+#include <auxiliary.h>
+#include <bitmap.h>
+#include <decompose.h>
+#include <progress.h>
+
+/* ---------------------------------------------------------------------- */
+/* auxiliary bitmap manipulations */
+
+/* set the excess padding to 0 */
+static void bm_clearexcess( potrace_bitmap_t* bm )
+{
+ potrace_word mask;
+ int y;
+
+ if( bm->w % BM_WORDBITS != 0 )
+ {
+ mask = BM_ALLBITS << ( BM_WORDBITS - (bm->w % BM_WORDBITS) );
+ for( y = 0; y<bm->h; y++ )
+ {
+ *bm_index( bm, bm->w, y ) &= mask;
+ }
+ }
+}
+
+
+struct bbox_s
+{
+ int x0, x1, y0, y1; /* bounding box */
+};
+typedef struct bbox_s bbox_t;
+
+/* clear the bm, assuming the bounding box is set correctly (faster
+ * than clearing the whole bitmap) */
+static void clear_bm_with_bbox( potrace_bitmap_t* bm, bbox_t* bbox )
+{
+ int imin = (bbox->x0 / BM_WORDBITS);
+ int imax = ( (bbox->x1 + BM_WORDBITS - 1) / BM_WORDBITS );
+ int i, y;
+
+ for( y = bbox->y0; y<bbox->y1; y++ )
+ {
+ for( i = imin; i<imax; i++ )
+ {
+ bm_scanline( bm, y )[i] = 0;
+ }
+ }
+}
+
+
+/* ---------------------------------------------------------------------- */
+/* auxiliary functions */
+
+/* deterministically and efficiently hash (x,y) into a pseudo-random bit */
+static inline int detrand( int x, int y )
+{
+ unsigned int z;
+ static const unsigned char t[256] =
+ {
+ /* non-linear sequence: constant term of inverse in GF(8),
+ * mod x^8+x^4+x^3+x+1 */
+ 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1,
+ 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0,
+ 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
+ 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1,
+ 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0,
+ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0,
+ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0,
+ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1,
+ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0,
+ 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1,
+ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
+ };
+
+ /* 0x04b3e375 and 0x05a8ef93 are chosen to contain every possible
+ * 5-bit sequence */
+ z = ( (0x04b3e375 * x) ^ y ) * 0x05a8ef93;
+ z = t[z & 0xff] ^ t[(z >> 8) & 0xff] ^ t[(z >> 16) & 0xff] ^ t[(z >> 24) & 0xff];
+ return z & 1;
+}
+
+
+/* return the "majority" value of bitmap bm at intersection (x,y). We
+ * assume that the bitmap is balanced at "radius" 1. */
+static int majority( potrace_bitmap_t* bm, int x, int y )
+{
+ int i, a, ct;
+
+ for( i = 2; i<5; i++ ) /* check at "radius" i */
+ {
+ ct = 0;
+ for( a = -i + 1; a<=i - 1; a++ )
+ {
+ ct += BM_GET( bm, x + a, y + i - 1 ) ? 1 : -1;
+ ct += BM_GET( bm, x + i - 1, y + a - 1 ) ? 1 : -1;
+ ct += BM_GET( bm, x + a - 1, y - i ) ? 1 : -1;
+ ct += BM_GET( bm, x - i, y + a ) ? 1 : -1;
+ }
+
+ if( ct>0 )
+ {
+ return 1;
+ }
+ else if( ct<0 )
+ {
+ return 0;
+ }
+ }
+
+ return 0;
+}
+
+
+/* ---------------------------------------------------------------------- */
+/* decompose image into paths */
+
+/* efficiently invert bits [x,infty) and [xa,infty) in line y. Here xa
+ * must be a multiple of BM_WORDBITS. */
+static void xor_to_ref( potrace_bitmap_t* bm, int x, int y, int xa )
+{
+ int xhi = x & - BM_WORDBITS;
+ int xlo = x & (BM_WORDBITS - 1); /* = x % BM_WORDBITS */
+ int i;
+
+ if( xhi<xa )
+ {
+ for( i = xhi; i < xa; i += BM_WORDBITS )
+ {
+ *bm_index( bm, i, y ) ^= BM_ALLBITS;
+ }
+ }
+ else
+ {
+ for( i = xa; i < xhi; i += BM_WORDBITS )
+ {
+ *bm_index( bm, i, y ) ^= BM_ALLBITS;
+ }
+ }
+
+ /* note: the following "if" is needed because x86 treats a<<b as
+ * a<<(b&31). I spent hours looking for this bug. */
+ if( xlo )
+ {
+ *bm_index( bm, xhi, y ) ^= ( BM_ALLBITS << (BM_WORDBITS - xlo) );
+ }
+}
+
+
+/* a path is represented as an array of points, which are thought to
+ * lie on the corners of pixels (not on their centers). The path point
+ * (x,y) is the lower left corner of the pixel (x,y). Paths are
+ * represented by the len/pt components of a path_t object (which
+ * also stores other information about the path) */
+
+/* xor the given pixmap with the interior of the given path. Note: the
+ * path must be within the dimensions of the pixmap. */
+static void xor_path( potrace_bitmap_t* bm, path_t* p )
+{
+ int xa, x, y, k, y1;
+
+ if( p->priv->len <= 0 ) /* a path of length 0 is silly, but legal */
+ {
+ return;
+ }
+
+ y1 = p->priv->pt[p->priv->len - 1].y;
+
+ xa = p->priv->pt[0].x & - BM_WORDBITS;
+ for( k = 0; k<p->priv->len; k++ )
+ {
+ x = p->priv->pt[k].x;
+ y = p->priv->pt[k].y;
+
+ if( y != y1 )
+ {
+ /* efficiently invert the rectangle [x,xa] x [y,y1] */
+ xor_to_ref( bm, x, min( y, y1 ), xa );
+ y1 = y;
+ }
+ }
+}
+
+
+/* Find the bounding box of a given path. Path is assumed to be of
+ * non-zero length. */
+static void setbbox_path( bbox_t* bbox, path_t* p )
+{
+ int x, y;
+ int k;
+
+ bbox->y0 = INT_MAX;
+ bbox->y1 = 0;
+ bbox->x0 = INT_MAX;
+ bbox->x1 = 0;
+
+ for( k = 0; k<p->priv->len; k++ )
+ {
+ x = p->priv->pt[k].x;
+ y = p->priv->pt[k].y;
+
+ if( x < bbox->x0 )
+ {
+ bbox->x0 = x;
+ }
+ if( x > bbox->x1 )
+ {
+ bbox->x1 = x;
+ }
+ if( y < bbox->y0 )
+ {
+ bbox->y0 = y;
+ }
+ if( y > bbox->y1 )
+ {
+ bbox->y1 = y;
+ }
+ }
+}
+
+
+/* compute a path in the given pixmap, separating black from white.
+ * Start path at the point (x0,x1), which must be an upper left corner
+ * of the path. Also compute the area enclosed by the path. Return a
+ * new path_t object, or NULL on error (note that a legitimate path
+ * cannot have length 0). Sign is required for correct interpretation
+ * of turnpolicies. */
+static path_t* findpath( potrace_bitmap_t* bm, int x0, int y0, int sign, int turnpolicy )
+{
+ int x, y, dirx, diry, len, size, area;
+ int c, d, tmp;
+ point_t* pt, * pt1;
+ path_t* p = NULL;
+
+ x = x0;
+ y = y0;
+ dirx = 0;
+ diry = -1;
+
+ len = size = 0;
+ pt = NULL;
+ area = 0;
+
+ while( 1 )
+ {
+ /* add point to path */
+ if( len>=size )
+ {
+ size += 100;
+ size = (int) ( 1.3 * size );
+ pt1 = (point_t*) realloc( pt, size * sizeof(point_t) );
+ if( !pt1 )
+ {
+ goto error;
+ }
+ pt = pt1;
+ }
+ pt[len].x = x;
+ pt[len].y = y;
+ len++;
+
+ /* move to next point */
+ x += dirx;
+ y += diry;
+ area += x * diry;
+
+ /* path complete? */
+ if( x==x0 && y==y0 )
+ {
+ break;
+ }
+
+ /* determine next direction */
+ c = BM_GET( bm, x + (dirx + diry - 1) / 2, y + (diry - dirx - 1) / 2 );
+ d = BM_GET( bm, x + (dirx - diry - 1) / 2, y + (diry + dirx - 1) / 2 );
+
+ if( c && !d ) /* ambiguous turn */
+ {
+ if( turnpolicy == POTRACE_TURNPOLICY_RIGHT
+ || (turnpolicy == POTRACE_TURNPOLICY_BLACK && sign == '+')
+ || (turnpolicy == POTRACE_TURNPOLICY_WHITE && sign == '-')
+ || ( turnpolicy == POTRACE_TURNPOLICY_RANDOM && detrand( x, y ) )
+ || ( turnpolicy == POTRACE_TURNPOLICY_MAJORITY && majority( bm, x, y ) )
+ || ( turnpolicy == POTRACE_TURNPOLICY_MINORITY && !majority( bm, x, y ) ) )
+ {
+ tmp = dirx; /* right turn */
+ dirx = diry;
+ diry = -tmp;
+ }
+ else
+ {
+ tmp = dirx; /* left turn */
+ dirx = -diry;
+ diry = tmp;
+ }
+ }
+ else if( c ) /* right turn */
+ {
+ tmp = dirx;
+ dirx = diry;
+ diry = -tmp;
+ }
+ else if( !d ) /* left turn */
+ {
+ tmp = dirx;
+ dirx = -diry;
+ diry = tmp;
+ }
+ } /* while this path */
+
+ /* allocate new path object */
+ p = path_new();
+ if( !p )
+ {
+ goto error;
+ }
+
+ p->priv->pt = pt;
+ p->priv->len = len;
+ p->area = area;
+ p->sign = sign;
+
+ return p;
+
+error:
+ free( pt );
+ return NULL;
+}
+
+
+/* Give a tree structure to the given path list, based on "insideness"
+ * testing. I.e., path A is considered "below" path B if it is inside
+ * path B. The input pathlist is assumed to be ordered so that "outer"
+ * paths occur before "inner" paths. The tree structure is stored in
+ * the "childlist" and "sibling" components of the path_t
+ * structure. The linked list structure is also changed so that
+ * negative path components are listed immediately after their
+ * positive parent. Note: some backends may ignore the tree
+ * structure, others may use it e.g. to group path components. We
+ * assume that in the input, point 0 of each path is an "upper left"
+ * corner of the path, as returned by bm_to_pathlist. This makes it
+ * easy to find an "interior" point. The bm argument should be a
+ * bitmap of the correct size (large enough to hold all the paths),
+ * and will be used as scratch space. Return 0 on success or -1 on
+ * error with errno set. */
+
+static void pathlist_to_tree( path_t* plist, potrace_bitmap_t* bm )
+{
+ path_t* p, * p1;
+ path_t* heap, * heap1;
+ path_t* cur;
+ path_t* head;
+ path_t** hook, ** hook_in, ** hook_out; /* for fast appending to linked list */
+ bbox_t bbox;
+
+ bm_clear( bm, 0 );
+
+ /* save original "next" pointers */
+ list_forall( p, plist ) {
+ p->sibling = p->next;
+ p->childlist = NULL;
+ }
+
+ heap = plist;
+
+ /* the heap holds a list of lists of paths. Use "childlist" field
+ * for outer list, "next" field for inner list. Each of the sublists
+ * is to be turned into a tree. This code is messy, but it is
+ * actually fast. Each path is rendered exactly once. We use the
+ * heap to get a tail recursive algorithm: the heap holds a list of
+ * pathlists which still need to be transformed. */
+
+ while( heap )
+ {
+ /* unlink first sublist */
+ cur = heap;
+ heap = heap->childlist;
+ cur->childlist = NULL;
+
+ /* unlink first path */
+ head = cur;
+ cur = cur->next;
+ head->next = NULL;
+
+ /* render path */
+ xor_path( bm, head );
+ setbbox_path( &bbox, head );
+
+ /* now do insideness test for each element of cur; append it to
+ * head->childlist if it's inside head, else append it to
+ * head->next. */
+ hook_in = &head->childlist;
+ hook_out = &head->next;
+ list_forall_unlink( p, cur ) {
+ if( p->priv->pt[0].y <= bbox.y0 )
+ {
+ list_insert_beforehook( p, hook_out );
+ /* append the remainder of the list to hook_out */
+ *hook_out = cur;
+ break;
+ }
+ if( BM_GET( bm, p->priv->pt[0].x, p->priv->pt[0].y - 1 ) )
+ {
+ list_insert_beforehook( p, hook_in );
+ }
+ else
+ {
+ list_insert_beforehook( p, hook_out );
+ }
+ }
+
+ /* clear bm */
+ clear_bm_with_bbox( bm, &bbox );
+
+ /* now schedule head->childlist and head->next for further
+ * processing */
+ if( head->next )
+ {
+ head->next->childlist = heap;
+ heap = head->next;
+ }
+ if( head->childlist )
+ {
+ head->childlist->childlist = heap;
+ heap = head->childlist;
+ }
+ }
+
+ /* copy sibling structure from "next" to "sibling" component */
+ p = plist;
+ while( p )
+ {
+ p1 = p->sibling;
+ p->sibling = p->next;
+ p = p1;
+ }
+
+ /* reconstruct a new linked list ("next") structure from tree
+ * ("childlist", "sibling") structure. This code is slightly messy,
+ * because we use a heap to make it tail recursive: the heap
+ * contains a list of childlists which still need to be
+ * processed. */
+ heap = plist;
+ if( heap )
+ {
+ heap->next = NULL; /* heap is a linked list of childlists */
+ }
+ plist = NULL;
+ hook = &plist;
+ while( heap )
+ {
+ heap1 = heap->next;
+ for( p = heap; p; p = p->sibling )
+ {
+ /* p is a positive path */
+ /* append to linked list */
+ list_insert_beforehook( p, hook );
+
+ /* go through its children */
+ for( p1 = p->childlist; p1; p1 = p1->sibling )
+ {
+ /* append to linked list */
+ list_insert_beforehook( p1, hook );
+ /* append its childlist to heap, if non-empty */
+ if( p1->childlist )
+ {
+ list_append( path_t, heap1, p1->childlist );
+ }
+ }
+ }
+
+ heap = heap1;
+ }
+
+ return;
+}
+
+
+/* find the next set pixel in a row <= y. Pixels are searched first
+ * left-to-right, then top-down. In other words, (x,y)<(x',y') if y>y'
+ * or y=y' and x<x'. If found, return 0 and store pixel in
+ * (*xp,*yp). Else return 1. Note that this function assumes that
+ * excess bytes have been cleared with bm_clearexcess. */
+static int findnext( potrace_bitmap_t* bm, int* xp, int* yp )
+{
+ int x;
+ int y;
+
+ for( y = *yp; y>=0; y-- )
+ {
+ for( x = 0; x<bm->w; x += BM_WORDBITS )
+ {
+ if( *bm_index( bm, x, y ) )
+ {
+ while( !BM_GET( bm, x, y ) )
+ {
+ x++;
+ }
+
+ /* found */
+ *xp = x;
+ *yp = y;
+ return 0;
+ }
+ }
+ }
+
+ /* not found */
+ return 1;
+}
+
+
+/* Decompose the given bitmap into paths. Returns a linked list of
+ * path_t objects with the fields len, pt, area, sign filled
+ * in. Returns 0 on success with plistp set, or -1 on error with errno
+ * set. */
+
+int bm_to_pathlist( const potrace_bitmap_t* bm,
+ path_t** plistp,
+ const potrace_param_t* param,
+ progress_t* progress )
+{
+ int x;
+ int y;
+ path_t* p;
+ path_t* plist = NULL; /* linked list of path objects */
+ path_t** hook = &plist; /* used to speed up appending to linked list */
+ potrace_bitmap_t* bm1 = NULL;
+ int sign;
+
+ bm1 = bm_dup( bm );
+ if( !bm1 )
+ {
+ goto error;
+ }
+
+ /* be sure the byte padding on the right is set to 0, as the fast
+ * pixel search below relies on it */
+ bm_clearexcess( bm1 );
+
+ /* iterate through components */
+ y = bm1->h - 1;
+ while( findnext( bm1, &x, &y ) == 0 )
+ {
+ /* calculate the sign by looking at the original */
+ sign = BM_GET( bm, x, y ) ? '+' : '-';
+
+ /* calculate the path */
+ p = findpath( bm1, x, y + 1, sign, param->turnpolicy );
+ if( p==NULL )
+ {
+ goto error;
+ }
+
+ /* update buffered image */
+ xor_path( bm1, p );
+
+ /* if it's a turd, eliminate it, else append it to the list */
+ if( p->area <= param->turdsize )
+ {
+ path_free( p );
+ }
+ else
+ {
+ list_insert_beforehook( p, hook );
+ }
+
+ if( bm1->h > 0 ) /* to be sure */
+ {
+ progress_update( 1 - y / (double) bm1->h, progress );
+ }
+ }
+
+ pathlist_to_tree( plist, bm1 );
+ bm_free( bm1 );
+ *plistp = plist;
+
+ progress_update( 1.0, progress );
+
+ return 0;
+
+error:
+ bm_free( bm1 );
+ list_forall_unlink( p, plist ) {
+ path_free( p );
+ }
+ return -1;
+}