mirror of
https://github.com/nothings/stb
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675 lines
21 KiB
C
675 lines
21 KiB
C
// stb_connected_components - v0.91 - public domain connected components on grids
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// http://github.com/nothings/stb
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//
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// Finds connected components on 2D grids for testing reachability between
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// two points, with fast updates when changing reachability (e.g. on one machine
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// it was typically 0.2ms w/ 1024x1024 grid). Each grid square must be "open" or
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// "closed" (traversable or untraversable), and grid squares are only connected
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// to their orthogonal neighbors, not diagonally.
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//
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// In one source file, create the implementation by doing something like this:
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//
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// #define STBCC_GRID_COUNT_X_LOG2 10
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// #define STBCC_GRID_COUNT_Y_LOG2 10
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// #define STB_CONNECTED_COMPONENTS_IMPLEMENTATION
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// #include "stb_connected_components.h"
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//
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// The above creates an implementation that can run on maps up to 1024x1024.
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// Map sizes must be a multiple of 32 on each axis.
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//
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// LICENSE
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//
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// This software is dual-licensed to the public domain and under the following
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// license: you are granted a perpetual, irrevocable license to copy, modify,
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// publish, and distribute this file as you see fit.
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//
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//
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// TODO:
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// - test C++ compile
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// - better API documentation
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// - internals documentation (including algorithm)
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// - try re-integrating naive algorithm & compare performance
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// - batching (keep data structure w/ dirty clusters)
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// - function for setting a grid of squares at once (just use batching)
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// - shrink data by storing only, say, 2X max exits
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// (instead of max exits per clump), and repack cluster
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// if it runs out (possibly by just rebuilding from scratch,
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// could even use dirty-cluster data structure)
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// should reduce 1Kx1K from ~66MB to ~8MB
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#ifndef INCLUDE_STB_CONNECTED_COMPONENTS_H
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#define INCLUDE_STB_CONNECTED_COMPONENTS_H
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#include <stdlib.h>
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#include <assert.h>
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typedef struct st_stbcc_grid stbcc_grid;
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#ifdef __cplusplus
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extern "C" {
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#endif
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//////////////////////////////////////////////////////////////////////////////////////////
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//
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// initialization
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//
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// you allocate the grid data structure to this size (note that it will be very big!!!)
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extern size_t stbcc_grid_sizeof(void);
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// initialize the grid, value of map[] is 0 = traversable, non-0 is solid
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extern void stbcc_init_grid(stbcc_grid *g, unsigned char *map, int w, int h);
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//////////////////////////////////////////////////////////////////////////////////////////
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//
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// main functionality
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//
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// update a grid square state, 0 = traversable, non-0 is solid
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// i can add a batch-update if it's needed
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extern void stbcc_update_grid(stbcc_grid *g, int x, int y, int solid);
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// query if two grid squares are reachable from each other
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extern int stbcc_query_grid_node_connection(stbcc_grid *g, int x1, int y1, int x2, int y2);
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//////////////////////////////////////////////////////////////////////////////////////////
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//
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// bonus functions
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//
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// query the grid data structure for whether a given square is open or not
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extern int stbcc_query_grid_open(stbcc_grid *g, int x, int y);
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// get a unique id for the connected component this is in; it's not necessarily
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// small, you'll need a hash table or something to remap it (or just use
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extern unsigned int stbcc_get_unique_id(stbcc_grid *g, int x, int y);
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#ifdef __cplusplus
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}
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#endif
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#endif // INCLUDE_STB_CONNECTED_COMPONENTS_H
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#ifdef STB_CONNECTED_COMPONENTS_IMPLEMENTATION
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#if !defined(STBCC_GRID_COUNT_X_LOG2) || !defined(STBCC_GRID_COUNT_Y_LOG2)
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#error "You must define STBCC_GRID_COUNT_X_LOG2 and STBCC_GRID_COUNT_Y_LOG2 to define the max grid supported."
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#endif
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#define STBCC__GRID_COUNT_X (1 << STBCC_GRID_COUNT_X_LOG2)
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#define STBCC__GRID_COUNT_Y (1 << STBCC_GRID_COUNT_Y_LOG2)
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#define STBCC__MAP_STRIDE (1 << (STBCC_GRID_COUNT_X_LOG2-3))
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#ifndef STBCC_CLUSTER_SIZE_X_LOG2
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#define STBCC_CLUSTER_SIZE_X_LOG2 5
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#endif
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#ifndef STBCC_CLUSTER_SIZE_Y_LOG2
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#define STBCC_CLUSTER_SIZE_Y_LOG2 5
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#endif
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#define STBCC__CLUSTER_SIZE_X (1 << STBCC_CLUSTER_SIZE_X_LOG2)
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#define STBCC__CLUSTER_SIZE_Y (1 << STBCC_CLUSTER_SIZE_Y_LOG2)
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#define STBCC__CLUSTER_COUNT_X_LOG2 (STBCC_GRID_COUNT_X_LOG2 - STBCC_CLUSTER_SIZE_X_LOG2)
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#define STBCC__CLUSTER_COUNT_Y_LOG2 (STBCC_GRID_COUNT_Y_LOG2 - STBCC_CLUSTER_SIZE_Y_LOG2)
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#define STBCC__CLUSTER_COUNT_X (1 << STBCC__CLUSTER_COUNT_X_LOG2)
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#define STBCC__CLUSTER_COUNT_Y (1 << STBCC__CLUSTER_COUNT_Y_LOG2)
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#if STBCC__CLUSTER_SIZE_X >= STBCC__GRID_COUNT_X || STBCC__CLUSTER_SIZE_Y >= STBCC__GRID_COUNT_Y
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#error "STBCC_CLUSTER_SIZE_X/Y_LOG2 must be smaller than STBCC_GRID_COUNT_X/Y_LOG2"
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#endif
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// worst case # of clumps per cluster
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#define STBCC__MAX_CLUMPS_PER_CLUSTER_LOG2 (STBCC_CLUSTER_SIZE_X_LOG2 + STBCC_CLUSTER_SIZE_Y_LOG2-1)
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#define STBCC__MAX_CLUMPS_PER_CLUSTER (1 << STBCC__MAX_CLUMPS_PER_CLUSTER_LOG2)
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#define STBCC__MAX_CLUMPS (STBCC__MAX_CLUMPS_PER_CLUSTER * STBCC__CLUSTER_COUNT_X * STBCC__CLUSTER_COUNT_Y)
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#define STBCC__NULL_CLUMPID STBCC__MAX_CLUMPS_PER_CLUSTER
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#define STBCC__CLUSTER_X_FOR_COORD_X(x) ((x) >> STBCC_CLUSTER_SIZE_X_LOG2)
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#define STBCC__CLUSTER_Y_FOR_COORD_Y(y) ((y) >> STBCC_CLUSTER_SIZE_Y_LOG2)
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#define STBCC__MAP_BYTE_MASK(x,y) (1 << ((x) & 7))
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#define STBCC__MAP_BYTE(g,x,y) ((g)->map[y][(x) >> 3])
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#define STBCC__MAP_OPEN(g,x,y) (STBCC__MAP_BYTE(g,x,y) & STBCC__MAP_BYTE_MASK(x,y))
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typedef unsigned short stbcc__clumpid;
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typedef unsigned char stbcc__verify_max_clumps[STBCC__MAX_CLUMPS_PER_CLUSTER < (1 << (8*sizeof(stbcc__clumpid))) ? 1 : -1];
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#define STBCC__MAX_EXITS_PER_CLUMP (STBCC__CLUSTER_SIZE_X + STBCC__CLUSTER_SIZE_Y) // 64
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// 2^19 * 2^6 => 2^25 exits => 2^26 => 64MB for 1024x1024
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typedef unsigned char stbcc__verify_max_exits[STBCC__MAX_EXITS_PER_CLUMP <= 256];
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typedef struct
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{
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unsigned short clump_index:12;
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signed short cluster_dx:2;
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signed short cluster_dy:2;
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} stbcc__relative_clumpid;
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typedef union
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{
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struct {
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unsigned int clump_index:12;
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unsigned int cluster_x:10;
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unsigned int cluster_y:10;
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} f;
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unsigned int c;
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} stbcc__global_clumpid;
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// rebuilt cluster 3,4
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// what changes in cluster 2,4
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typedef struct
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{
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stbcc__global_clumpid global_label;
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unsigned short num_adjacent;
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stbcc__relative_clumpid adjacent_clumps[STBCC__MAX_EXITS_PER_CLUMP];
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} stbcc__clump;
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typedef struct
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{
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unsigned int num_clumps;
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stbcc__clump clump[STBCC__MAX_CLUMPS_PER_CLUSTER];
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} stbcc__cluster;
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struct st_stbcc_grid
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{
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int w,h,cw,ch;
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unsigned char map[STBCC__GRID_COUNT_Y][STBCC__MAP_STRIDE]; // 1K x 1K => 1K x 128 => 128KB
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stbcc__clumpid clump_for_node[STBCC__GRID_COUNT_Y][STBCC__GRID_COUNT_X]; // 1K x 1K x 2 = 2MB
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stbcc__cluster cluster[STBCC__CLUSTER_COUNT_Y][STBCC__CLUSTER_COUNT_X]; // 1K x 1K x 0.5 x 64 x 2 = 64MB
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};
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int stbcc_query_grid_node_connection(stbcc_grid *g, int x1, int y1, int x2, int y2)
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{
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stbcc__global_clumpid label1, label2;
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stbcc__clumpid c1 = g->clump_for_node[y1][x1];
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stbcc__clumpid c2 = g->clump_for_node[y2][x2];
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int cx1 = STBCC__CLUSTER_X_FOR_COORD_X(x1);
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int cy1 = STBCC__CLUSTER_Y_FOR_COORD_Y(y1);
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int cx2 = STBCC__CLUSTER_X_FOR_COORD_X(x2);
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int cy2 = STBCC__CLUSTER_Y_FOR_COORD_Y(y2);
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if (c1 == STBCC__NULL_CLUMPID || c2 == STBCC__NULL_CLUMPID)
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return 0;
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label1 = g->cluster[cy1][cx1].clump[c1].global_label;
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label2 = g->cluster[cy2][cx2].clump[c2].global_label;
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if (label1.c == label2.c)
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return 1;
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return 0;
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}
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int stbcc_query_grid_open(stbcc_grid *g, int x, int y)
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{
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return STBCC__MAP_OPEN(g, x, y) != 0;
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}
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unsigned int stbcc_get_unique_id(stbcc_grid *g, int x, int y)
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{
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stbcc__clumpid c = g->clump_for_node[y][x];
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int cx = STBCC__CLUSTER_X_FOR_COORD_X(x);
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int cy = STBCC__CLUSTER_Y_FOR_COORD_Y(y);
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return g->cluster[cy][cx].clump[c].global_label.c;
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}
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typedef struct
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{
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unsigned char x,y;
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} stbcc__tinypoint;
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typedef struct
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{
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stbcc__tinypoint parent[STBCC__CLUSTER_SIZE_Y][STBCC__CLUSTER_SIZE_X]; // 32x32 => 2KB
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stbcc__clumpid label[STBCC__CLUSTER_SIZE_Y][STBCC__CLUSTER_SIZE_X];
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} stbcc__cluster_build_info;
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static void stbcc__build_clumps_for_cluster(stbcc_grid *g, int cx, int cy);
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static void stbcc__remove_connections_to_adjacent_cluster(stbcc_grid *g, int cx, int cy, int dx, int dy);
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static void stbcc__add_connections_to_adjacent_cluster(stbcc_grid *g, int cx, int cy, int dx, int dy);
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static stbcc__global_clumpid stbcc__clump_find(stbcc_grid *g, stbcc__global_clumpid n)
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{
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stbcc__global_clumpid q;
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stbcc__clump *c = &g->cluster[n.f.cluster_y][n.f.cluster_x].clump[n.f.clump_index];
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if (c->global_label.c == n.c)
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return n;
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q = stbcc__clump_find(g, c->global_label);
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c->global_label = q;
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return q;
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}
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typedef struct
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{
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unsigned int cluster_x;
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unsigned int cluster_y;
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unsigned int clump_index;
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} stbcc__unpacked_clumpid;
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// @OPTIMIZE: pass in these parameters unpacked, not packed
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static void stbcc__clump_union(stbcc_grid *g, stbcc__unpacked_clumpid m, int x, int y, int idx)
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{
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stbcc__clump *mc = &g->cluster[m.cluster_y][m.cluster_x].clump[m.clump_index];
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stbcc__clump *nc = &g->cluster[y][x].clump[idx];
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stbcc__global_clumpid mp = stbcc__clump_find(g, mc->global_label);
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stbcc__global_clumpid np = stbcc__clump_find(g, nc->global_label);
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if (mp.c == np.c)
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return;
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g->cluster[mp.f.cluster_y][mp.f.cluster_x].clump[mp.f.clump_index].global_label = np;
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}
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static void stbcc__build_connected_components_for_clumps(stbcc_grid *g)
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{
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int i,j,k,h;
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for (j=0; j < STBCC__CLUSTER_COUNT_Y; ++j) {
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for (i=0; i < STBCC__CLUSTER_COUNT_X; ++i) {
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stbcc__cluster *cluster = &g->cluster[j][i];
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for (k=0; k < (int) cluster->num_clumps; ++k) {
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stbcc__global_clumpid m;
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m.f.clump_index = k;
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m.f.cluster_x = i;
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m.f.cluster_y = j;
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assert((int) m.f.clump_index == k && (int) m.f.cluster_x == i && (int) m.f.cluster_y == j);
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cluster->clump[k].global_label = m;
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}
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}
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}
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for (j=0; j < STBCC__CLUSTER_COUNT_Y; ++j) {
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for (i=0; i < STBCC__CLUSTER_COUNT_X; ++i) {
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stbcc__cluster *cluster = &g->cluster[j][i];
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for (k=0; k < (int) cluster->num_clumps; ++k) {
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stbcc__clump *clump = &cluster->clump[k];
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stbcc__unpacked_clumpid m;
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m.clump_index = k;
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m.cluster_x = i;
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m.cluster_y = j;
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for (h=0; h < clump->num_adjacent; ++h) {
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unsigned int clump_index = clump->adjacent_clumps[h].clump_index;
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unsigned int x = clump->adjacent_clumps[h].cluster_dx + i;
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unsigned int y = clump->adjacent_clumps[h].cluster_dy + j;
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stbcc__clump_union(g, m, x, y, clump_index);
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}
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}
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}
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}
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for (j=0; j < STBCC__CLUSTER_COUNT_Y; ++j) {
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for (i=0; i < STBCC__CLUSTER_COUNT_X; ++i) {
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stbcc__cluster *cluster = &g->cluster[j][i];
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for (k=0; k < (int) cluster->num_clumps; ++k) {
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stbcc__global_clumpid m;
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m.f.clump_index = k;
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m.f.cluster_x = i;
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m.f.cluster_y = j;
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stbcc__clump_find(g, m);
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}
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}
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}
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}
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void stbcc_update_grid(stbcc_grid *g, int x, int y, int solid)
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{
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int cx,cy;
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if (!solid) {
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if (STBCC__MAP_OPEN(g,x,y))
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return;
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} else {
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if (!STBCC__MAP_OPEN(g,x,y))
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return;
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}
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cx = STBCC__CLUSTER_X_FOR_COORD_X(x);
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cy = STBCC__CLUSTER_Y_FOR_COORD_Y(y);
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stbcc__remove_connections_to_adjacent_cluster(g, cx-1, cy, 1, 0);
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stbcc__remove_connections_to_adjacent_cluster(g, cx+1, cy, -1, 0);
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stbcc__remove_connections_to_adjacent_cluster(g, cx, cy-1, 0, 1);
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stbcc__remove_connections_to_adjacent_cluster(g, cx, cy+1, 0,-1);
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if (!solid)
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STBCC__MAP_BYTE(g,x,y) |= STBCC__MAP_BYTE_MASK(x,y);
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else
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STBCC__MAP_BYTE(g,x,y) &= ~STBCC__MAP_BYTE_MASK(x,y);
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stbcc__build_clumps_for_cluster(g, cx, cy);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy, -1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy, 1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy, 0,-1);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy, 0, 1);
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stbcc__add_connections_to_adjacent_cluster(g, cx-1, cy, 1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, cx+1, cy, -1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy-1, 0, 1);
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stbcc__add_connections_to_adjacent_cluster(g, cx, cy+1, 0,-1);
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stbcc__build_connected_components_for_clumps(g);
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}
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size_t stbcc_grid_sizeof(void)
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{
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return sizeof(stbcc_grid);
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}
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void stbcc_init_grid(stbcc_grid *g, unsigned char *map, int w, int h)
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{
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int i,j,k;
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assert(w % STBCC__CLUSTER_SIZE_X == 0);
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assert(h % STBCC__CLUSTER_SIZE_Y == 0);
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assert(w % 8 == 0);
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g->w = w;
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g->h = h;
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g->cw = w >> STBCC_CLUSTER_SIZE_X_LOG2;
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g->ch = h >> STBCC_CLUSTER_SIZE_Y_LOG2;
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for (j=0; j < h; ++j) {
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for (i=0; i < w; i += 8) {
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unsigned char c = 0;
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for (k=0; k < 8; ++k)
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if (map[j*w + (i+k)] == 0)
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c |= (1 << k);
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g->map[j][i>>3] = c;
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}
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}
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for (j=0; j < g->ch; ++j)
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for (i=0; i < g->cw; ++i)
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stbcc__build_clumps_for_cluster(g, i, j);
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for (j=0; j < g->ch; ++j) {
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for (i=0; i < g->cw; ++i) {
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stbcc__add_connections_to_adjacent_cluster(g, i, j, -1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, i, j, 1, 0);
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stbcc__add_connections_to_adjacent_cluster(g, i, j, 0,-1);
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stbcc__add_connections_to_adjacent_cluster(g, i, j, 0, 1);
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}
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}
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stbcc__build_connected_components_for_clumps(g);
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for (j=0; j < g->h; ++j)
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for (i=0; i < g->w; ++i)
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assert(g->clump_for_node[j][i] <= STBCC__NULL_CLUMPID);
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}
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static void stbcc__add_clump_connection(stbcc_grid *g, int x1, int y1, int x2, int y2)
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{
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stbcc__clump *clump;
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int cx1 = STBCC__CLUSTER_X_FOR_COORD_X(x1);
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int cy1 = STBCC__CLUSTER_Y_FOR_COORD_Y(y1);
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int cx2 = STBCC__CLUSTER_X_FOR_COORD_X(x2);
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int cy2 = STBCC__CLUSTER_Y_FOR_COORD_Y(y2);
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stbcc__clumpid c1 = g->clump_for_node[y1][x1];
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stbcc__clumpid c2 = g->clump_for_node[y2][x2];
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stbcc__relative_clumpid rc;
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assert(cx1 != cx2 || cy1 != cy2);
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assert(abs(cx1-cx2) + abs(cy1-cy2) == 1);
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// add connection to c2 in c1
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rc.clump_index = c2;
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rc.cluster_dx = x2-x1;
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rc.cluster_dy = y2-y1;
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clump = &g->cluster[cy1][cx1].clump[c1];
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assert(clump->num_adjacent < STBCC__MAX_EXITS_PER_CLUMP);
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clump->adjacent_clumps[clump->num_adjacent++] = rc;
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}
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static void stbcc__remove_clump_connection(stbcc_grid *g, int x1, int y1, int x2, int y2)
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{
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stbcc__clump *clump;
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int i;
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int cx1 = STBCC__CLUSTER_X_FOR_COORD_X(x1);
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int cy1 = STBCC__CLUSTER_Y_FOR_COORD_Y(y1);
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int cx2 = STBCC__CLUSTER_X_FOR_COORD_X(x2);
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int cy2 = STBCC__CLUSTER_Y_FOR_COORD_Y(y2);
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stbcc__clumpid c1 = g->clump_for_node[y1][x1];
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stbcc__clumpid c2 = g->clump_for_node[y2][x2];
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stbcc__relative_clumpid rc;
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assert(cx1 != cx2 || cy1 != cy2);
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assert(abs(cx1-cx2) + abs(cy1-cy2) == 1);
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// add connection to c2 in c1
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rc.clump_index = c2;
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rc.cluster_dx = x2-x1;
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rc.cluster_dy = y2-y1;
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clump = &g->cluster[cy1][cx1].clump[c1];
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for (i=0; i < clump->num_adjacent; ++i)
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if (rc.clump_index == clump->adjacent_clumps[i].clump_index &&
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rc.cluster_dx == clump->adjacent_clumps[i].cluster_dx &&
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rc.cluster_dy == clump->adjacent_clumps[i].cluster_dy)
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break;
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if (i < clump->num_adjacent)
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clump->adjacent_clumps[i] = clump->adjacent_clumps[--clump->num_adjacent];
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else
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assert(0);
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}
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static void stbcc__add_connections_to_adjacent_cluster(stbcc_grid *g, int cx, int cy, int dx, int dy)
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{
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unsigned char connected[STBCC__MAX_CLUMPS_PER_CLUSTER/8] = { 0 };
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int x = cx * STBCC__CLUSTER_SIZE_X;
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int y = cy * STBCC__CLUSTER_SIZE_Y;
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int step_x, step_y=0, i, j, k, n;
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if (cx < 0 || cx >= g->cw || cy < 0 || cy >= g->ch)
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return;
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if (cx+dx < 0 || cx+dx >= g->cw || cy+dy < 0 || cy+dy >= g->ch)
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return;
|
|
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assert(abs(dx) + abs(dy) == 1);
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|
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if (dx == 1) {
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i = STBCC__CLUSTER_SIZE_X-1;
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j = 0;
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step_x = 0;
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step_y = 1;
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n = STBCC__CLUSTER_SIZE_Y;
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} else if (dx == -1) {
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i = 0;
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j = 0;
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step_x = 0;
|
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step_y = 1;
|
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n = STBCC__CLUSTER_SIZE_Y;
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} else if (dy == -1) {
|
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i = 0;
|
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j = 0;
|
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step_x = 1;
|
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step_y = 0;
|
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n = STBCC__CLUSTER_SIZE_X;
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} else if (dy == 1) {
|
|
i = 0;
|
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j = STBCC__CLUSTER_SIZE_Y-1;
|
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step_x = 1;
|
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step_y = 0;
|
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n = STBCC__CLUSTER_SIZE_X;
|
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} else {
|
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assert(0);
|
|
}
|
|
|
|
for (k=0; k < n; ++k) {
|
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if (STBCC__MAP_OPEN(g, x+i, y+j) && STBCC__MAP_OPEN(g, x+i+dx, y+j+dy)) {
|
|
stbcc__clumpid c = g->clump_for_node[y+j+dy][x+i+dx];
|
|
if (0 == (connected[c>>3] & (1 << (c & 7)))) {
|
|
connected[c>>3] |= 1 << (c & 7);
|
|
stbcc__add_clump_connection(g, x+i, y+j, x+i+dx, y+j+dy);
|
|
}
|
|
}
|
|
i += step_x;
|
|
j += step_y;
|
|
}
|
|
}
|
|
|
|
static void stbcc__remove_connections_to_adjacent_cluster(stbcc_grid *g, int cx, int cy, int dx, int dy)
|
|
{
|
|
unsigned char disconnected[STBCC__MAX_CLUMPS_PER_CLUSTER/8] = { 0 };
|
|
int x = cx * STBCC__CLUSTER_SIZE_X;
|
|
int y = cy * STBCC__CLUSTER_SIZE_Y;
|
|
int step_x, step_y=0, i, j, k, n;
|
|
|
|
if (cx < 0 || cx >= g->cw || cy < 0 || cy >= g->ch)
|
|
return;
|
|
|
|
if (cx+dx < 0 || cx+dx >= g->cw || cy+dy < 0 || cy+dy >= g->ch)
|
|
return;
|
|
|
|
assert(abs(dx) + abs(dy) == 1);
|
|
|
|
if (dx == 1) {
|
|
i = STBCC__CLUSTER_SIZE_X-1;
|
|
j = 0;
|
|
step_x = 0;
|
|
step_y = 1;
|
|
n = STBCC__CLUSTER_SIZE_Y;
|
|
} else if (dx == -1) {
|
|
i = 0;
|
|
j = 0;
|
|
step_x = 0;
|
|
step_y = 1;
|
|
n = STBCC__CLUSTER_SIZE_Y;
|
|
} else if (dy == -1) {
|
|
i = 0;
|
|
j = 0;
|
|
step_x = 1;
|
|
step_y = 0;
|
|
n = STBCC__CLUSTER_SIZE_X;
|
|
} else if (dy == 1) {
|
|
i = 0;
|
|
j = STBCC__CLUSTER_SIZE_Y-1;
|
|
step_x = 1;
|
|
step_y = 0;
|
|
n = STBCC__CLUSTER_SIZE_X;
|
|
} else {
|
|
assert(0);
|
|
}
|
|
|
|
for (k=0; k < n; ++k) {
|
|
if (STBCC__MAP_OPEN(g, x+i, y+j) && STBCC__MAP_OPEN(g, x+i+dx, y+j+dy)) {
|
|
stbcc__clumpid c = g->clump_for_node[y+j+dy][x+i+dx];
|
|
if (0 == (disconnected[c>>3] & (1 << (c & 7)))) {
|
|
disconnected[c>>3] |= 1 << (c & 7);
|
|
stbcc__remove_clump_connection(g, x+i, y+j, x+i+dx, y+j+dy);
|
|
}
|
|
}
|
|
i += step_x;
|
|
j += step_y;
|
|
}
|
|
}
|
|
|
|
static stbcc__tinypoint stbcc__incluster_find(stbcc__cluster_build_info *cbi, int x, int y)
|
|
{
|
|
stbcc__tinypoint p,q;
|
|
p = cbi->parent[y][x];
|
|
if (p.x == x && p.y == y)
|
|
return p;
|
|
q = stbcc__incluster_find(cbi, p.x, p.y);
|
|
cbi->parent[y][x] = q;
|
|
return q;
|
|
}
|
|
|
|
static void stbcc__incluster_union(stbcc__cluster_build_info *cbi, int x1, int y1, int x2, int y2)
|
|
{
|
|
stbcc__tinypoint p = stbcc__incluster_find(cbi, x1,y1);
|
|
stbcc__tinypoint q = stbcc__incluster_find(cbi, x2,y2);
|
|
|
|
if (p.x == q.x && p.y == q.y)
|
|
return;
|
|
|
|
cbi->parent[p.y][p.x] = q;
|
|
}
|
|
|
|
static void stbcc__build_clumps_for_cluster(stbcc_grid *g, int cx, int cy)
|
|
{
|
|
stbcc__cluster *c;
|
|
stbcc__cluster_build_info cbi;
|
|
int label=0;
|
|
int i,j;
|
|
int x = cx * STBCC__CLUSTER_SIZE_X;
|
|
int y = cy * STBCC__CLUSTER_SIZE_Y;
|
|
|
|
// set initial disjoint set forest state
|
|
for (j=0; j < STBCC__CLUSTER_SIZE_Y; ++j) {
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X; ++i) {
|
|
cbi.parent[j][i].x = i;
|
|
cbi.parent[j][i].y = j;
|
|
}
|
|
}
|
|
|
|
// join all sets that are connected
|
|
for (j=0; j < STBCC__CLUSTER_SIZE_Y; ++j) {
|
|
// check down only if not on bottom row
|
|
if (j < STBCC__CLUSTER_SIZE_Y-1)
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X; ++i)
|
|
if (STBCC__MAP_OPEN(g,x+i,y+j) && STBCC__MAP_OPEN(g,x+i ,y+j+1))
|
|
stbcc__incluster_union(&cbi, i,j, i,j+1);
|
|
// check right for everything but rightmost column
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X-1; ++i)
|
|
if (STBCC__MAP_OPEN(g,x+i,y+j) && STBCC__MAP_OPEN(g,x+i+1,y+j ))
|
|
stbcc__incluster_union(&cbi, i,j, i+1,j);
|
|
}
|
|
|
|
// label all non-empty leaders
|
|
for (j=0; j < STBCC__CLUSTER_SIZE_Y; ++j) {
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X; ++i) {
|
|
stbcc__tinypoint p = cbi.parent[j][i];
|
|
if (p.x == i && p.y == j)
|
|
if (STBCC__MAP_OPEN(g,x+i,y+j))
|
|
cbi.label[j][i] = label++;
|
|
else
|
|
cbi.label[j][i] = STBCC__NULL_CLUMPID;
|
|
}
|
|
}
|
|
|
|
// label all other nodes
|
|
for (j=0; j < STBCC__CLUSTER_SIZE_Y; ++j) {
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X; ++i) {
|
|
stbcc__tinypoint p = stbcc__incluster_find(&cbi, i,j);
|
|
if (p.x != i || p.y != j) {
|
|
if (STBCC__MAP_OPEN(g,x+i,y+j))
|
|
cbi.label[j][i] = cbi.label[p.y][p.x];
|
|
}
|
|
}
|
|
}
|
|
|
|
c = &g->cluster[cy][cx];
|
|
c->num_clumps = label;
|
|
for (i=0; i < label; ++i)
|
|
c->clump[i].num_adjacent = 0;
|
|
|
|
for (j=0; j < STBCC__CLUSTER_SIZE_Y; ++j)
|
|
for (i=0; i < STBCC__CLUSTER_SIZE_X; ++i) {
|
|
g->clump_for_node[y+j][x+i] = cbi.label[j][i]; // @OPTIMIZE: remove cbi.label entirely
|
|
assert(g->clump_for_node[y+j][x+i] <= STBCC__NULL_CLUMPID);
|
|
}
|
|
}
|
|
|
|
#endif // STB_CONNECTED_COMPONENTS_IMPLEMENTATION
|