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- The old algorithm is something I threw together that produced decent, but not spectacular results since it had a tendency to waste space by forcing everything onto "shelves". The new packer is the Skyline-MinWaste-WasteMap-BestFirstFit algorithm described by Jukka Jylanki in his paper *A Thousand Ways to Pack the Bin - A Practical Approach to Two-Dimensional Rectangle Bin Packing*, which can currently be read at http://clb.demon.fi/files/RectangleBinPack.pdf This is minus the optimization to rotate rectangles to make better fits.
135 lines
6.6 KiB
C++
135 lines
6.6 KiB
C++
/** @file GuillotineBinPack.h
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@author Jukka Jylänki
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@brief Implements different bin packer algorithms that use the GUILLOTINE data structure.
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This work is released to Public Domain, do whatever you want with it.
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*/
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#pragma once
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#include "tarray.h"
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#include "Rect.h"
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/** GuillotineBinPack implements different variants of bin packer algorithms that use the GUILLOTINE data structure
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to keep track of the free space of the bin where rectangles may be placed. */
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class GuillotineBinPack
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{
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public:
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/// The initial bin size will be (0,0). Call Init to set the bin size.
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GuillotineBinPack();
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/// Initializes a new bin of the given size.
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GuillotineBinPack(int width, int height);
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/// (Re)initializes the packer to an empty bin of width x height units. Call whenever
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/// you need to restart with a new bin.
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void Init(int width, int height);
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/// Specifies the different choice heuristics that can be used when deciding which of the free subrectangles
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/// to place the to-be-packed rectangle into.
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enum FreeRectChoiceHeuristic
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{
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RectBestAreaFit, ///< -BAF
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RectBestShortSideFit, ///< -BSSF
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RectBestLongSideFit, ///< -BLSF
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RectWorstAreaFit, ///< -WAF
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RectWorstShortSideFit, ///< -WSSF
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RectWorstLongSideFit ///< -WLSF
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};
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/// Specifies the different choice heuristics that can be used when the packer needs to decide whether to
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/// subdivide the remaining free space in horizontal or vertical direction.
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enum GuillotineSplitHeuristic
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{
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SplitShorterLeftoverAxis, ///< -SLAS
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SplitLongerLeftoverAxis, ///< -LLAS
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SplitMinimizeArea, ///< -MINAS, Try to make a single big rectangle at the expense of making the other small.
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SplitMaximizeArea, ///< -MAXAS, Try to make both remaining rectangles as even-sized as possible.
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SplitShorterAxis, ///< -SAS
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SplitLongerAxis ///< -LAS
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};
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/// Inserts a single rectangle into the bin. The packer might rotate the rectangle, in which case the returned
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/// struct will have the width and height values swapped.
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/// @param merge If true, performs free Rectangle Merge procedure after packing the new rectangle. This procedure
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/// tries to defragment the list of disjoint free rectangles to improve packing performance, but also takes up
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/// some extra time.
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/// @param rectChoice The free rectangle choice heuristic rule to use.
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/// @param splitMethod The free rectangle split heuristic rule to use.
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Rect Insert(int width, int height, bool merge, FreeRectChoiceHeuristic rectChoice, GuillotineSplitHeuristic splitMethod);
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/// Inserts a list of rectangles into the bin.
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/// @param rects The list of rectangles to add. This list will be destroyed in the packing process.
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/// @param dst The outputted list of rectangles. Note that the indices will not correspond to the input indices.
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/// @param merge If true, performs Rectangle Merge operations during the packing process.
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/// @param rectChoice The free rectangle choice heuristic rule to use.
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/// @param splitMethod The free rectangle split heuristic rule to use.
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void Insert(TArray<RectSize> &rects, TArray<Rect> &dst, bool merge,
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FreeRectChoiceHeuristic rectChoice, GuillotineSplitHeuristic splitMethod);
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// Implements GUILLOTINE-MAXFITTING, an experimental heuristic that's really cool but didn't quite work in practice.
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// void InsertMaxFitting(TArray<RectSize> &rects, TArray<Rect> &dst, bool merge,
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// FreeRectChoiceHeuristic rectChoice, GuillotineSplitHeuristic splitMethod);
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/// Computes the ratio of used/total surface area. 0.00 means no space is yet used, 1.00 means the whole bin is used.
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float Occupancy() const;
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/// Returns the internal list of disjoint rectangles that track the free area of the bin. You may alter this vector
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/// any way desired, as long as the end result still is a list of disjoint rectangles.
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TArray<Rect> &GetFreeRectangles() { return freeRectangles; }
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/// Returns the list of packed rectangles. You may alter this vector at will, for example, you can move a Rect from
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/// this list to the Free Rectangles list to free up space on-the-fly, but notice that this causes fragmentation.
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TArray<Rect> &GetUsedRectangles() { return usedRectangles; }
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/// Performs a Rectangle Merge operation. This procedure looks for adjacent free rectangles and merges them if they
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/// can be represented with a single rectangle. Takes up Theta(|freeRectangles|^2) time.
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void MergeFreeList();
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#ifdef _DEBUG
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void DelDisjoint(const Rect &r) { disjointRects.Del(r); }
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#endif
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private:
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int binWidth;
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int binHeight;
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/// Stores a list of all the rectangles that we have packed so far. This is used only to compute the Occupancy ratio,
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/// so if you want to have the packer consume less memory, this can be removed.
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TArray<Rect> usedRectangles;
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/// Stores a list of rectangles that represents the free area of the bin. This rectangles in this list are disjoint.
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TArray<Rect> freeRectangles;
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#ifdef _DEBUG
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/// Used to track that the packer produces proper packings.
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DisjointRectCollection disjointRects;
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#endif
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/// Goes through the list of free rectangles and finds the best one to place a rectangle of given size into.
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/// Running time is Theta(|freeRectangles|).
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/// @param nodeIndex [out] The index of the free rectangle in the freeRectangles array into which the new
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/// rect was placed.
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/// @return A Rect structure that represents the placement of the new rect into the best free rectangle.
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Rect FindPositionForNewNode(int width, int height, FreeRectChoiceHeuristic rectChoice, int *nodeIndex);
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static int ScoreByHeuristic(int width, int height, const Rect &freeRect, FreeRectChoiceHeuristic rectChoice);
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// The following functions compute (penalty) score values if a rect of the given size was placed into the
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// given free rectangle. In these score values, smaller is better.
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static int ScoreBestAreaFit(int width, int height, const Rect &freeRect);
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static int ScoreBestShortSideFit(int width, int height, const Rect &freeRect);
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static int ScoreBestLongSideFit(int width, int height, const Rect &freeRect);
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static int ScoreWorstAreaFit(int width, int height, const Rect &freeRect);
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static int ScoreWorstShortSideFit(int width, int height, const Rect &freeRect);
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static int ScoreWorstLongSideFit(int width, int height, const Rect &freeRect);
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/// Splits the given L-shaped free rectangle into two new free rectangles after placedRect has been placed into it.
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/// Determines the split axis by using the given heuristic.
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void SplitFreeRectByHeuristic(const Rect &freeRect, const Rect &placedRect, GuillotineSplitHeuristic method);
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/// Splits the given L-shaped free rectangle into two new free rectangles along the given fixed split axis.
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void SplitFreeRectAlongAxis(const Rect &freeRect, const Rect &placedRect, bool splitHorizontal);
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};
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