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// stb_rect_pack.h - v0.01 - public domain - rectangle packing
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// Sean Barrett 2014
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//
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// Useful for e.g. packing rectangular textures into an atlas.
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// Does not do rotation.
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//
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// Not necessarily the awesomest packing method, but better than
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// the totally naive one in stb_truetype (which is primarily what
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// this is meant to replace).
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//
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// Has only had a few tests run, may have issues.
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//
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// More docs to come.
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//
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// No memory allocations; uses qsort() and assert() from stblib.
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//
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// This library currently uses the Skyline Bottom-Left algorithm.
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//
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// Please note: better rectangle packers are welcome! Please
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// implement them to the same API, but with a different init
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// function.
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//////////////////////////////////////////////////////////////////////////////
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//
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//       INCLUDE SECTION
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//
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#ifndef STB_INCLUDE_STB_RECT_PACK_H | 
				
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#define STB_INCLUDE_STB_RECT_PACK_H | 
				
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#ifdef STBRP_STATIC | 
				
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#define STBRP_DEF static | 
				
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#else | 
				
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#define STBRP_DEF extern | 
				
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#endif | 
				
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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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typedef struct stbrp_context stbrp_context; | 
				
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typedef struct stbrp_node    stbrp_node; | 
				
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typedef struct stbrp_rect    stbrp_rect; | 
				
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 | 
				
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#ifdef STBRP_LARGE_RECTS | 
				
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typedef int            stbrp_coord; | 
				
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#else | 
				
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typedef unsigned short stbrp_coord; | 
				
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#endif | 
				
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STBRP_DEF void stbrp_pack_rects (stbrp_context *context, stbrp_rect *rects, int num_rects); | 
				
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// Assign packed locations to rectangles. The rectangles are of type
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// 'stbrp_rect' defined below, stored in the array 'rects', and there
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// are 'num_rects' many of them.
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//
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// Rectangles which are successfully packed have the 'was_packed' flag
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// set to a non-zero value and 'x' and 'y' store the minimum location
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// on each axis (i.e. bottom-left in cartesian coordinates, top-left
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// if you imagine y increasing downwards). Rectangles which do not fit
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// have the 'was_packed' flag set to 0.
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//
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// You should not try to access the 'rects' array from another thread
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// while this function is running, as the function temporarily reorders
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// the array while it executes.
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//
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// To pack into another rectangle, you need to call stbrp_init_target
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// again. To continue packing into the same rectangle, you can call
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// this function again. Calling this multiple times with multiple rect
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// arrays will probably produce worse packing results than calling it
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// a single time with the full rectangle array, but the option is
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// available.
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struct stbrp_rect | 
				
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{ | 
				
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   // reserved for your use:
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   int            id; | 
				
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 | 
				
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   // input:
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   stbrp_coord    w, h; | 
				
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   // output:
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   stbrp_coord    x, y; | 
				
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   int            was_packed;  // non-zero if valid packing
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}; // 16 bytes, nominally
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STBRP_DEF void stbrp_init_target (stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes); | 
				
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// Initialize a rectangle packer to:
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//    pack a rectangle that is 'width' by 'height' in dimensions
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//    using temporary storage provided by the array 'nodes', which is 'num_nodes' long
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//
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// You must call this function every time you start packing into a new target.
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//
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// There is no "shutdown" function. The 'nodes' memory must stay valid for
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// the following stbrp_pack_rects() call (or calls), but can be freed after
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// the call (or calls) finish.
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//
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// Note: to guarantee best results, either:
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//       1. make sure 'num_nodes' >= 'width'
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//   or  2. call stbrp_allow_out_of_mem() defined below with 'allow_out_of_mem = 1'
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//
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// If you don't do either of the above things, widths will be quantized to multiples
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// of small integers to guarantee the algorithm doesn't run out of temporary storage.
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//
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// If you do #2, then the non-quantized algorithm will be used, but the algorithm
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// may run out of temporary storage and be unable to pack some rectangles.
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STBRP_DEF void stbrp_setup_allow_out_of_mem (stbrp_context *context, int allow_out_of_mem); | 
				
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// Optionally call this function after init but before doing any packing to
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// change the handling of the out-of-temp-memory scenario, described above.
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// If you call init again, this will be reset to the default (false).
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STBRP_DEF void stbrp_setup_heuristic (stbrp_context *context, int heuristic); | 
				
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// Optionally select which packing heuristic the library should use. Different
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// heuristics will produce better/worse results for different data sets.
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// If you call init again, this will be reset to the default.
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enum | 
				
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{ | 
				
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   STBRP_HEURISTIC_Skyline_default=0, | 
				
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   STBRP_HEURISTIC_Skyline_BL_sortHeight = STBRP_HEURISTIC_Skyline_default, | 
				
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   STBRP_HEURISTIC_Skyline_BF_sortHeight, | 
				
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}; | 
				
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//////////////////////////////////////////////////////////////////////////////
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//
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// the details of the following structures don't matter to you, but they must
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// be visible so you can handle the memory allocations for them
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struct stbrp_node | 
				
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{ | 
				
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   stbrp_coord  x,y; | 
				
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   stbrp_node  *next; | 
				
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}; | 
				
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struct stbrp_context | 
				
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{ | 
				
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   int width; | 
				
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   int height; | 
				
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   int align; | 
				
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   int init_mode; | 
				
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   int heuristic; | 
				
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   int num_nodes; | 
				
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   stbrp_node *active_head; | 
				
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   stbrp_node *free_head; | 
				
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   stbrp_node extra[2]; // we allocate two extra nodes so optimal user-node-count is 'width' not 'width+2'
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}; | 
				
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#ifdef __cplusplus | 
				
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} | 
				
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#endif | 
				
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#endif | 
				
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//////////////////////////////////////////////////////////////////////////////
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//
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//     IMPLEMENTATION SECTION
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//
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#ifdef STB_RECT_PACK_IMPLEMENTATION | 
				
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#include <stdlib.h> | 
				
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enum | 
				
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{ | 
				
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   STBRP__INIT_skyline = 1, | 
				
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}; | 
				
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STBRP_DEF void stbrp_setup_heuristic(stbrp_context *context, int heuristic) | 
				
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{ | 
				
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   switch (context->init_mode) { | 
				
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      case STBRP__INIT_skyline: | 
				
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         assert(heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight || heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight); | 
				
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         context->heuristic = heuristic; | 
				
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         break; | 
				
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      default: | 
				
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         assert(0); | 
				
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   } | 
				
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} | 
				
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STBRP_DEF void stbrp_setup_allow_out_of_mem(stbrp_context *context, int allow_out_of_mem) | 
				
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{ | 
				
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   if (allow_out_of_mem) | 
				
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      // if it's ok to run out of memory, then don't bother aligning them;
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      // this gives better packing, but may fail due to OOM (even though
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      // the rectangles easily fit). @TODO a smarter approach would be to only
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      // quantize once we've hit OOM, then we could get rid of this parameter.
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      context->align = 1; | 
				
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   else { | 
				
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      // if it's not ok to run out of memory, then quantize the widths
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      // so that num_nodes is always enough nodes.
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      //
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      // I.e. num_nodes * align >= width
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      //                  align >= width / num_nodes
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      //                  align = ceil(width/num_nodes)
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      context->align = (context->width + context->num_nodes-1) / context->num_nodes; | 
				
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   } | 
				
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} | 
				
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STBRP_DEF void stbrp_init_target(stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes) | 
				
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{ | 
				
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   int i; | 
				
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#ifndef STBRP_LARGE_RECTS | 
				
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   assert(width <= 0xffff && height <= 0xffff); | 
				
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#endif | 
				
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   for (i=0; i < num_nodes-1; ++i) | 
				
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      nodes[i].next = &nodes[i+1]; | 
				
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   nodes[i].next = NULL; | 
				
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   context->init_mode = STBRP__INIT_skyline; | 
				
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   context->heuristic = STBRP_HEURISTIC_Skyline_default; | 
				
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   context->free_head = &nodes[0]; | 
				
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   context->active_head = &context->extra[0]; | 
				
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   context->width = width; | 
				
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   context->height = height; | 
				
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   context->num_nodes = num_nodes; | 
				
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   stbrp_setup_allow_out_of_mem(context, 0); | 
				
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   // node 0 is the full width, node 1 is the sentinel (lets us not store width explicitly)
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   context->extra[0].x = 0; | 
				
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   context->extra[0].y = 0; | 
				
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   context->extra[0].next = &context->extra[1]; | 
				
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   context->extra[1].x = width; | 
				
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#ifdef STBRP_LARGE_RECTS | 
				
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   context->extra[1].y = (1<<30); | 
				
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#else | 
				
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   context->extra[1].y = 65535; | 
				
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#endif | 
				
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   context->extra[1].next = NULL; | 
				
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} | 
				
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// find minimum y position if it starts at x1
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static int stbrp__skyline_find_min_y(stbrp_context *c, stbrp_node *first, int x0, int width, int *pwaste) | 
				
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{ | 
				
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   stbrp_node *node = first; | 
				
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   int x1 = x0 + width; | 
				
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   int min_y, visited_width, waste_area; | 
				
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   assert(first->x <= x0); | 
				
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   #if 0 | 
				
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   // skip in case we're past the node
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   while (node->next->x <= x0) | 
				
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      ++node; | 
				
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   #else | 
				
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   assert(node->next->x > x0); // we ended up handling this in the caller for efficiency
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   #endif | 
				
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   assert(node->x <= x0); | 
				
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   min_y = 0; | 
				
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   waste_area = 0; | 
				
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   visited_width = 0; | 
				
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   while (node->x < x1) { | 
				
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      if (node->y > min_y) { | 
				
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         // raise min_y higher.
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         // we've accounted for all waste up to min_y,
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         // but we'll now add more waste for everything we've visted
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         waste_area += visited_width * (node->y - min_y); | 
				
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         min_y = node->y; | 
				
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         // the first time through, visited_width might be reduced
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         if (node->x < x0) | 
				
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            visited_width += node->next->x - x0; | 
				
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         else | 
				
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            visited_width += node->next->x - node->x; | 
				
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      } else { | 
				
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         // add waste area
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         int under_width = node->next->x - node->x; | 
				
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         if (under_width + visited_width > width) | 
				
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            under_width = width - visited_width; | 
				
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         waste_area += under_width * (min_y - node->y); | 
				
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         visited_width += under_width; | 
				
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      } | 
				
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      node = node->next; | 
				
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   } | 
				
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   *pwaste = waste_area; | 
				
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   return min_y; | 
				
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} | 
				
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typedef struct | 
				
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{ | 
				
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   int x,y; | 
				
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   stbrp_node **prev_link; | 
				
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} stbrp__findresult; | 
				
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static stbrp__findresult stbrp__skyline_find_best_pos(stbrp_context *c, int width, int height) | 
				
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{ | 
				
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   int best_waste = (1<<30), best_x, best_y = (1 << 30); | 
				
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   stbrp__findresult fr; | 
				
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   stbrp_node **prev, *node, *tail, **best = NULL; | 
				
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   // align to multiple of c->align
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   width = (width + c->align - 1); | 
				
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   width -= width % c->align; | 
				
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   assert(width % c->align == 0); | 
				
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   node = c->active_head; | 
				
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   prev = &c->active_head; | 
				
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   while (node->x + width <= c->width) { | 
				
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      int y,waste; | 
				
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      y = stbrp__skyline_find_min_y(c, node, node->x, width, &waste); | 
				
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      if (c->heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight) { // actually just want to test BL
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         // bottom left
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         if (y < best_y) { | 
				
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            best_y = y; | 
				
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            best = prev; | 
				
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         } | 
				
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      } else { | 
				
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         // best-fit
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         if (waste < best_waste) { | 
				
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            // can only use it if it first vertically
 | 
				
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            if (y + height <= c->height) { | 
				
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               best_y = y; | 
				
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               best_waste = waste; | 
				
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               best = prev; | 
				
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            } | 
				
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         } | 
				
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      } | 
				
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      prev = &node->next; | 
				
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      node = node->next; | 
				
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   } | 
				
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 | 
				
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   best_x = (best == NULL) ? 0 : (*best)->x; | 
				
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 | 
				
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   // if doing best-fit (BF), we also have to try aligning right edge to each node position
 | 
				
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   //
 | 
				
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   // e.g, if fitting
 | 
				
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   //
 | 
				
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   //     ____________________
 | 
				
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   //    |____________________|
 | 
				
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   //
 | 
				
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   //            into
 | 
				
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   //
 | 
				
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   //   |                         |
 | 
				
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   //   |             ____________|
 | 
				
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   //   |____________|
 | 
				
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   //
 | 
				
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   // then right-aligned reduces waste, but bottom-left BL is always chooses left-aligned
 | 
				
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   //
 | 
				
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   // This makes BF take about 2x the time
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   if (c->heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight) { | 
				
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      tail = c->active_head; | 
				
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      node = c->active_head; | 
				
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      prev = &c->active_head; | 
				
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      // find first node that's admissible
 | 
				
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      while (tail->x < width) | 
				
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         tail = tail->next; | 
				
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      while (tail) { | 
				
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         int xpos = tail->x - width; | 
				
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         int y,waste; | 
				
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         assert(xpos >= 0); | 
				
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         // find the left position that matches this
 | 
				
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         while (node->next->x <= xpos) { | 
				
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            prev = &node->next; | 
				
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            node = node->next; | 
				
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         } | 
				
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         assert(node->next->x > xpos && node->x <= xpos); | 
				
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         y = stbrp__skyline_find_min_y(c, node, xpos, width, &waste); | 
				
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         if (waste <= best_waste && y + height < c->height) { | 
				
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            if (waste < best_waste || y < best_y || (y==best_y && xpos < best_x)) { | 
				
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               best_x = xpos; | 
				
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               best_y = y; | 
				
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               best_waste = waste; | 
				
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               best = prev; | 
				
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            } | 
				
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         } | 
				
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         tail = tail->next; | 
				
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      }         
 | 
				
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   } | 
				
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 | 
				
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   fr.prev_link = best; | 
				
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   fr.x = best_x; | 
				
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   fr.y = best_y; | 
				
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   return fr; | 
				
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} | 
				
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 | 
				
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static stbrp__findresult stbrp__skyline_pack_rectangle(stbrp_context *context, int width, int height) | 
				
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{ | 
				
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   // find best position according to heuristic
 | 
				
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   stbrp__findresult res = stbrp__skyline_find_best_pos(context, width, height); | 
				
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   stbrp_node *node, *cur; | 
				
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 | 
				
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   // bail if:
 | 
				
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   //    1. it failed
 | 
				
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   //    2. the best node doesn't fit (we don't always check this)
 | 
				
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   //    3. we're out of memory
 | 
				
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   if (res.prev_link == NULL || res.y + height > context->height || context->free_head == NULL) { | 
				
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      res.prev_link = NULL; | 
				
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      return res; | 
				
			||||
   } | 
				
			||||
 | 
				
			||||
   // on success, create new node
 | 
				
			||||
   node = context->free_head; | 
				
			||||
   node->x = res.x; | 
				
			||||
   node->y = res.y + height; | 
				
			||||
 | 
				
			||||
   context->free_head = node->next; | 
				
			||||
 | 
				
			||||
   // insert the new node into the right starting point, and
 | 
				
			||||
   // let 'cur' point to the remaining nodes needing to be
 | 
				
			||||
   // stiched back in
 | 
				
			||||
 | 
				
			||||
   cur = *res.prev_link; | 
				
			||||
   if (cur->x < res.x) { | 
				
			||||
      // preserve the existing one, so start testing with the next one
 | 
				
			||||
      stbrp_node *next = cur->next; | 
				
			||||
      cur->next = node; | 
				
			||||
      cur = next; | 
				
			||||
   } else { | 
				
			||||
      *res.prev_link = node; | 
				
			||||
   } | 
				
			||||
 | 
				
			||||
   // from here, traverse cur and free the nodes, until we get to one
 | 
				
			||||
   // that shouldn't be freed
 | 
				
			||||
   while (cur->next && cur->next->x <= res.x + width) { | 
				
			||||
      stbrp_node *next = cur->next; | 
				
			||||
      // move the current node to the free list
 | 
				
			||||
      cur->next = context->free_head; | 
				
			||||
      context->free_head = cur; | 
				
			||||
      cur = next; | 
				
			||||
   } | 
				
			||||
 | 
				
			||||
   // stitch the list back in
 | 
				
			||||
   node->next = cur; | 
				
			||||
 | 
				
			||||
   if (cur->x < res.x + width) | 
				
			||||
      cur->x = res.x+width; | 
				
			||||
 | 
				
			||||
#ifdef _DEBUG | 
				
			||||
   cur = context->active_head; | 
				
			||||
   while (cur->x < context->width) { | 
				
			||||
      assert(cur->x < cur->next->x); | 
				
			||||
      cur = cur->next; | 
				
			||||
   } | 
				
			||||
   assert(cur->next == NULL); | 
				
			||||
 | 
				
			||||
   { | 
				
			||||
      stbrp_node *L1 = NULL, *L2 = NULL; | 
				
			||||
      int count=0; | 
				
			||||
      cur = context->active_head; | 
				
			||||
      while (cur) { | 
				
			||||
         L1 = cur; | 
				
			||||
         cur = cur->next; | 
				
			||||
         ++count; | 
				
			||||
      } | 
				
			||||
      cur = context->free_head; | 
				
			||||
      while (cur) { | 
				
			||||
         L2 = cur; | 
				
			||||
         cur = cur->next; | 
				
			||||
         ++count; | 
				
			||||
      } | 
				
			||||
      assert(count == context->num_nodes+2); | 
				
			||||
   } | 
				
			||||
#endif | 
				
			||||
 | 
				
			||||
   return res; | 
				
			||||
} | 
				
			||||
 | 
				
			||||
static int rect_height_compare(const void *a, const void *b) | 
				
			||||
{ | 
				
			||||
   stbrp_rect *p = (stbrp_rect *) a; | 
				
			||||
   stbrp_rect *q = (stbrp_rect *) b; | 
				
			||||
   if (p->h > q->h) | 
				
			||||
      return -1; | 
				
			||||
   if (p->h < q->h) | 
				
			||||
      return  1; | 
				
			||||
   return (p->w > q->w) ? -1 : (p->w < q->w); | 
				
			||||
} | 
				
			||||
 | 
				
			||||
static int rect_original_order(const void *a, const void *b) | 
				
			||||
{ | 
				
			||||
   stbrp_rect *p = (stbrp_rect *) a; | 
				
			||||
   stbrp_rect *q = (stbrp_rect *) b; | 
				
			||||
   return (p->was_packed < q->was_packed) ? -1 : (p->was_packed > q->was_packed); | 
				
			||||
} | 
				
			||||
 | 
				
			||||
STBRP_DEF void stbrp_pack_rects(stbrp_context *context, stbrp_rect *rects, int num_rects) | 
				
			||||
{ | 
				
			||||
   int i; | 
				
			||||
 | 
				
			||||
   // we use the 'was_packed' field internally to allow sorting/unsorting
 | 
				
			||||
   for (i=0; i < num_rects; ++i) { | 
				
			||||
      rects[i].was_packed = i; | 
				
			||||
      #ifndef STBRP_LARGE_RECTS | 
				
			||||
      assert(rects[i].w <= 0xffff && rects[i].h <= 0xffff); | 
				
			||||
      #endif | 
				
			||||
   } | 
				
			||||
 | 
				
			||||
   // sort according to heuristic
 | 
				
			||||
   qsort(rects, num_rects, sizeof(rects[0]), rect_height_compare); | 
				
			||||
 | 
				
			||||
   for (i=0; i < num_rects; ++i) { | 
				
			||||
      stbrp__findresult fr = stbrp__skyline_pack_rectangle(context, rects[i].w, rects[i].h); | 
				
			||||
      if (fr.prev_link) { | 
				
			||||
         rects[i].x = (stbrp_coord) fr.x; | 
				
			||||
         rects[i].y = (stbrp_coord) fr.y; | 
				
			||||
      } else { | 
				
			||||
         rects[i].x = rects[i].y = 0xffff; | 
				
			||||
      } | 
				
			||||
   } | 
				
			||||
 | 
				
			||||
   // unsort
 | 
				
			||||
   qsort(rects, num_rects, sizeof(rects[0]), rect_original_order); | 
				
			||||
 | 
				
			||||
   // set was_packed flags
 | 
				
			||||
   for (i=0; i < num_rects; ++i) | 
				
			||||
      rects[i].was_packed = !(rects[i].x == 0xffff && rects[i].y == 0xffff); | 
				
			||||
} | 
				
			||||
#endif | 
				
			||||
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		Reference in New Issue