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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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+//////////////////////////////////////////////////////////////////////////////
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+//
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+// INCLUDE SECTION
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+//
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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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+
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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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+
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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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+
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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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+
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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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+
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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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+
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+}; // 16 bytes, nominally
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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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+// 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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+
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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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+
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+
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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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+
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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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+//////////////////////////////////////////////////////////////////////////////
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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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+
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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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+
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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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+
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+#ifdef __cplusplus
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+}
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+#endif
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+
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+#endif
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+
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+//////////////////////////////////////////////////////////////////////////////
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+//
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+// IMPLEMENTATION SECTION
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+//
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+
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+#ifdef STB_RECT_PACK_IMPLEMENTATION
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+#include <stdlib.h>
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+
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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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+
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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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+
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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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+
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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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+
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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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+
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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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+
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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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+
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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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+
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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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+
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+ assert(node->x <= x0);
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+
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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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+
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+ *pwaste = waste_area;
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+ return min_y;
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+}
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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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+
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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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+
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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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+
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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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+
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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;
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+ }
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+
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+ // on success, create new node
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+ node = context->free_head;
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+ node->x = res.x;
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+ node->y = res.y + height;
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+
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+ context->free_head = node->next;
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+
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+ // 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
|