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// stb_rect_pack.h - v0.01 - public domain - rectangle packing
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//
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// Useful for e.g. packing rectangular textures into an atlas.
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//
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// By Sean Barrett and Ryan Gordon
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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. Contact me for details of how to set up the
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// heuristic enums and suchlike (as the code currently isn't
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// designed to do that correctly internally).
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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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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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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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STBRP_DEF void stbrp_init_packer (stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes); |
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STBRP_DEF void stbrp_allow_oom (stbrp_context *context, int allow_out_of_mem); |
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STBRP_DEF void stbrp_set_heuristic(stbrp_context *context, int heuristic); |
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STBRP_DEF void stbrp_pack_rects (stbrp_context *context, stbrp_rect *rects, int num_rects); |
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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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// input:
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unsigned short w, h; |
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// output:
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unsigned short 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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// the details of the following structures don't matter to you, but they must
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// be visible so you can manage the memory allocations for them
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struct stbrp_node |
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{ |
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unsigned short 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 user only needs to create 'width' for correctness, not width+1
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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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#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_set_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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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_allow_oom(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_packer(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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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->num_nodes = num_nodes; |
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stbrp_allow_oom(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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context->extra[1].y = 65535; |
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context->extra[2].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 ad 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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} 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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} |
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visited_width += node->next->x - node->x; // adds too much the last time, but that's never used
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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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#define STBRP__HUGE_Y (1<<30) |
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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 = STBRP__HUGE_Y; |
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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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best_x = (best == NULL) ? 0 : (*best)->x; |
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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->x <= c->width) { |
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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; |
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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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fr.prev_link = prev; |
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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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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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// 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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// 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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context->free_head = node->next; |
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// insert the new node into the right starting point, and
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// let 'cur' point to the remaining nodes needing to be
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// stiched back in
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cur = *res.prev_link; |
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if (cur->x < res.x) { |
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// preserve the existing one, so start testing with the next one
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stbrp_node *next = cur->next; |
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cur->next = node; |
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cur = next; |
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} else { |
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*res.prev_link = node; |
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} |
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// from here, traverse cur and free nodes, until we get to one
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// that shouldn't be freed
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while (cur->next->x <= res.x + width) { |
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stbrp_node *next = cur->next; |
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// move the current node to the free list
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cur->next = context->free_head; |
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context->free_head = cur->next; |
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cur = next; |
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} |
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// stich the list back in
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node->next = cur; |
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if (cur->x < res.x + width) |
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cur->x = res.x+width; |
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#ifdef _DEBUG |
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cur = context->active_head; |
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while (cur->x < context->width) { |
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assert(cur->x < cur->next->x); |
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cur = cur->next; |
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} |
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assert(cur->next == NULL); |
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#endif |
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return res; |
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} |
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static int rect_height_compare(const void *a, const void *b) |
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{ |
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stbrp_rect *p = (stbrp_rect *) a; |
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stbrp_rect *q = (stbrp_rect *) b; |
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if (p->h > q->h) |
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return -1; |
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if (p->h < q->h) |
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return 1; |
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return (p->w > q->w) ? -1 : (p->w < q->w); |
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} |
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static int rect_original_order(const void *a, const void *b) |
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{ |
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stbrp_rect *p = (stbrp_rect *) a; |
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stbrp_rect *q = (stbrp_rect *) b; |
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return (p->was_packed < q->was_packed) ? -1 : (p->was_packed > q->was_packed); |
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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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{ |
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int i; |
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// we use the 'was_packed' field internally to allow sorting/unsorting
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for (i=0; i < num_rects; ++i) |
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rects[i].was_packed = i; |
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// sort according to heuristic
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qsort(rects, num_rects, sizeof(rects[0]), rect_height_compare); |
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for (i=0; i < num_rects; ++i) { |
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stbrp__findresult fr = stbrp__skyline_pack_rectangle(context, rects[i].w, rects[i].h); |
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if (fr.prev_link) { |
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rects[i].x = (unsigned short) fr.x; |
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rects[i].y = (unsigned short) fr.y; |
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} else { |
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rects[i].x = rects[i].y = 0xffff; |
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} |
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} |
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// unsort
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qsort(rects, num_rects, sizeof(rects[0]), rect_original_order); |
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// set was_packed flags
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for (i=0; i < num_rects; ++i) |
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rects[i].was_packed = !(rects[i].x == 0xffff && rects[i].y == 0xffff); |
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} |
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#endif |
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