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  1. //===-- llvm/ADT/CombinationGenerator.h ------------------------*- C++ -*--===//
  2. //
  3. // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
  4. // See https://llvm.org/LICENSE.txt for license information.
  5. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
  6. //
  7. //===----------------------------------------------------------------------===//
  8. ///
  9. /// \file
  10. /// Combination generator.
  11. ///
  12. /// Example: given input {{0, 1}, {2}, {3, 4}} it will produce the following
  13. /// combinations: {0, 2, 3}, {0, 2, 4}, {1, 2, 3}, {1, 2, 4}.
  14. ///
  15. /// It is useful to think of input as vector-of-vectors, where the
  16. /// outer vector is the variable space, and inner vector is choice space.
  17. /// The number of choices for each variable can be different.
  18. ///
  19. /// As for implementation, it is useful to think of this as a weird number,
  20. /// where each digit (==variable) may have different base (==number of choices).
  21. /// Thus modelling of 'produce next combination' is exactly analogous to the
  22. /// incrementing of an number - increment lowest digit (pick next choice for the
  23. /// variable), and if it wrapped to the beginning then increment next digit.
  24. ///
  25. //===----------------------------------------------------------------------===//
  26.  
  27. #ifndef LLVM_ADT_COMBINATIONGENERATOR_H
  28. #define LLVM_ADT_COMBINATIONGENERATOR_H
  29.  
  30. #include "llvm/ADT/ArrayRef.h"
  31. #include "llvm/ADT/STLFunctionalExtras.h"
  32. #include "llvm/ADT/SmallVector.h"
  33. #include <cassert>
  34. #include <cstring>
  35.  
  36. namespace llvm {
  37.  
  38. template <typename choice_type, typename choices_storage_type,
  39.           int variable_smallsize>
  40. class CombinationGenerator {
  41.   template <typename T> struct WrappingIterator {
  42.     using value_type = T;
  43.  
  44.     const ArrayRef<value_type> Range;
  45.     typename decltype(Range)::const_iterator Position;
  46.  
  47.     // Rewind the tape, placing the position to again point at the beginning.
  48.     void rewind() { Position = Range.begin(); }
  49.  
  50.     // Advance position forward, possibly wrapping to the beginning.
  51.     // Returns whether the wrap happened.
  52.     bool advance() {
  53.       ++Position;
  54.       bool Wrapped = Position == Range.end();
  55.       if (Wrapped)
  56.         rewind();
  57.       return Wrapped;
  58.     }
  59.  
  60.     // Get the value at which we are currently pointing.
  61.     const value_type &operator*() const { return *Position; }
  62.  
  63.     WrappingIterator(ArrayRef<value_type> Range_) : Range(Range_) {
  64.       assert(!Range.empty() && "The range must not be empty.");
  65.       rewind();
  66.     }
  67.   };
  68.  
  69.   const ArrayRef<choices_storage_type> VariablesChoices;
  70.  
  71.   void performGeneration(
  72.       const function_ref<bool(ArrayRef<choice_type>)> Callback) const {
  73.     SmallVector<WrappingIterator<choice_type>, variable_smallsize>
  74.         VariablesState;
  75.  
  76.     // 'increment' of the the whole VariablesState is defined identically to the
  77.     // increment of a number: starting from the least significant element,
  78.     // increment it, and if it wrapped, then propagate that carry by also
  79.     // incrementing next (more significant) element.
  80.     auto IncrementState =
  81.         [](MutableArrayRef<WrappingIterator<choice_type>> VariablesState)
  82.         -> bool {
  83.       for (WrappingIterator<choice_type> &Variable :
  84.            llvm::reverse(VariablesState)) {
  85.         bool Wrapped = Variable.advance();
  86.         if (!Wrapped)
  87.           return false; // There you go, next combination is ready.
  88.         // We have carry - increment more significant variable next..
  89.       }
  90.       return true; // MSB variable wrapped, no more unique combinations.
  91.     };
  92.  
  93.     // Initialize the per-variable state to refer to the possible choices for
  94.     // that variable.
  95.     VariablesState.reserve(VariablesChoices.size());
  96.     for (ArrayRef<choice_type> VC : VariablesChoices)
  97.       VariablesState.emplace_back(VC);
  98.  
  99.     // Temporary buffer to store each combination before performing Callback.
  100.     SmallVector<choice_type, variable_smallsize> CurrentCombination;
  101.     CurrentCombination.resize(VariablesState.size());
  102.  
  103.     while (true) {
  104.       // Gather the currently-selected variable choices into a vector.
  105.       for (auto I : llvm::zip(VariablesState, CurrentCombination))
  106.         std::get<1>(I) = *std::get<0>(I);
  107.       // And pass the new combination into callback, as intended.
  108.       if (/*Abort=*/Callback(CurrentCombination))
  109.         return;
  110.       // And tick the state to next combination, which will be unique.
  111.       if (IncrementState(VariablesState))
  112.         return; // All combinations produced.
  113.     }
  114.   };
  115.  
  116. public:
  117.   CombinationGenerator(ArrayRef<choices_storage_type> VariablesChoices_)
  118.       : VariablesChoices(VariablesChoices_) {
  119. #ifndef NDEBUG
  120.     assert(!VariablesChoices.empty() && "There should be some variables.");
  121.     llvm::for_each(VariablesChoices, [](ArrayRef<choice_type> VariableChoices) {
  122.       assert(!VariableChoices.empty() &&
  123.              "There must always be some choice, at least a placeholder one.");
  124.     });
  125. #endif
  126.   }
  127.  
  128.   // How many combinations can we produce, max?
  129.   // This is at most how many times the callback will be called.
  130.   size_t numCombinations() const {
  131.     size_t NumVariants = 1;
  132.     for (ArrayRef<choice_type> VariableChoices : VariablesChoices)
  133.       NumVariants *= VariableChoices.size();
  134.     assert(NumVariants >= 1 &&
  135.            "We should always end up producing at least one combination");
  136.     return NumVariants;
  137.   }
  138.  
  139.   // Actually perform exhaustive combination generation.
  140.   // Each result will be passed into the callback.
  141.   void generate(const function_ref<bool(ArrayRef<choice_type>)> Callback) {
  142.     performGeneration(Callback);
  143.   }
  144. };
  145.  
  146. } // namespace llvm
  147.  
  148. #endif
  149.