#region License Information
/* HeuristicLab
 * Copyright (C) 2002-2016 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
 *
 * This file is part of HeuristicLab.
 *
 * HeuristicLab is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * HeuristicLab is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
 */
#endregion

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Data;
using HeuristicLab.Parameters;
using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
using HeuristicLab.Random;

namespace HeuristicLab.Encodings.SymbolicExpressionTreeEncoding {
  /// <summary>
  /// Manipulates a symbolic expression by adding one new function-defining branch containing
  /// a proportion of a preexisting branch and by creating a reference to the new branch.
  /// As described in Koza, Bennett, Andre, Keane, Genetic Programming III - Darwinian Invention and Problem Solving, 1999, pp. 97
  /// </summary>
  [Item("SubroutineCreater", "Manipulates a symbolic expression by adding one new function-defining branch containing a proportion of a preexisting branch and by creating a reference to the new branch. As described in Koza, Bennett, Andre, Keane, Genetic Programming III - Darwinian Invention and Problem Solving, 1999, pp. 97")]
  [StorableClass]
  public sealed class SubroutineCreater : SymbolicExpressionTreeArchitectureManipulator, ISymbolicExpressionTreeSizeConstraintOperator {
    private const double ARGUMENT_CUTOFF_PROBABILITY = 0.05;
    private const string MaximumSymbolicExpressionTreeLengthParameterName = "MaximumSymbolicExpressionTreeLength";
    private const string MaximumSymbolicExpressionTreeDepthParameterName = "MaximumSymbolicExpressionTreeDepth";
    #region Parameter Properties
    public IValueLookupParameter<IntValue> MaximumSymbolicExpressionTreeLengthParameter {
      get { return (IValueLookupParameter<IntValue>)Parameters[MaximumSymbolicExpressionTreeLengthParameterName]; }
    }
    public IValueLookupParameter<IntValue> MaximumSymbolicExpressionTreeDepthParameter {
      get { return (IValueLookupParameter<IntValue>)Parameters[MaximumSymbolicExpressionTreeDepthParameterName]; }
    }
    #endregion
    #region Properties
    public IntValue MaximumSymbolicExpressionTreeLength {
      get { return MaximumSymbolicExpressionTreeLengthParameter.ActualValue; }
    }
    public IntValue MaximumSymbolicExpressionTreeDepth {
      get { return MaximumSymbolicExpressionTreeDepthParameter.ActualValue; }
    }
    #endregion
    [StorableConstructor]
    private SubroutineCreater(bool deserializing) : base(deserializing) { }
    private SubroutineCreater(SubroutineCreater original, Cloner cloner) : base(original, cloner) { }
    public SubroutineCreater()
      : base() {
      Parameters.Add(new ValueLookupParameter<IntValue>(MaximumSymbolicExpressionTreeLengthParameterName, "The maximal length (number of nodes) of the symbolic expression tree."));
      Parameters.Add(new ValueLookupParameter<IntValue>(MaximumSymbolicExpressionTreeDepthParameterName, "The maximal depth of the symbolic expression tree (a tree with one node has depth = 0)."));
    }

    public override IDeepCloneable Clone(Cloner cloner) {
      return new SubroutineCreater(this, cloner);
    }

    public override sealed void ModifyArchitecture(
      IRandom random,
      ISymbolicExpressionTree symbolicExpressionTree,
      IntValue maxFunctionDefinitions, IntValue maxFunctionArguments) {
      CreateSubroutine(random, symbolicExpressionTree, MaximumSymbolicExpressionTreeLength.Value, MaximumSymbolicExpressionTreeDepth.Value, maxFunctionDefinitions.Value, maxFunctionArguments.Value);
    }

    public static bool CreateSubroutine(
      IRandom random,
      ISymbolicExpressionTree symbolicExpressionTree,
      int maxTreeLength, int maxTreeDepth,
      int maxFunctionDefinitions, int maxFunctionArguments) {
      var functionDefiningBranches = symbolicExpressionTree.IterateNodesPrefix().OfType<DefunTreeNode>();
      if (functionDefiningBranches.Count() >= maxFunctionDefinitions)
        // allowed maximum number of ADF reached => abort
        return false;
      if (symbolicExpressionTree.Length + 4 > maxTreeLength)
        // defining a new function causes an length increase by 4 nodes (max) if the max tree length is reached => abort
        return false;
      string formatString = new StringBuilder().Append('0', (int)Math.Log10(maxFunctionDefinitions * 10 - 1)).ToString(); // >= 100 functions => ###
      var allowedFunctionNames = from index in Enumerable.Range(0, maxFunctionDefinitions)
                                 select "ADF" + index.ToString(formatString);

      // select a random body (either the result producing branch or an ADF branch)
      var bodies = from node in symbolicExpressionTree.Root.Subtrees
                   select new { Tree = node, Length = node.GetLength() };
      var totalNumberOfBodyNodes = bodies.Select(x => x.Length).Sum();
      int r = random.Next(totalNumberOfBodyNodes);
      int aggregatedNumberOfBodyNodes = 0;
      ISymbolicExpressionTreeNode selectedBody = null;
      foreach (var body in bodies) {
        aggregatedNumberOfBodyNodes += body.Length;
        if (aggregatedNumberOfBodyNodes > r)
          selectedBody = body.Tree;
      }
      // sanity check
      if (selectedBody == null) throw new InvalidOperationException();

      // select a random cut point in the selected branch
      var allCutPoints = (from parent in selectedBody.IterateNodesPrefix()
                          from subtree in parent.Subtrees
                          select new CutPoint(parent, subtree)).ToList();
      if (!allCutPoints.Any())
        // no cut points => abort
        return false;
      string newFunctionName = allowedFunctionNames.Except(functionDefiningBranches.Select(x => x.FunctionName)).First();
      var selectedCutPoint = allCutPoints.SampleRandom(random);

      // select random branches as argument cut-off points (replaced by argument terminal nodes in the function)
      List<CutPoint> argumentCutPoints = SelectRandomArgumentBranches(selectedCutPoint.Child, random, ARGUMENT_CUTOFF_PROBABILITY, maxFunctionArguments);
      ISymbolicExpressionTreeNode functionBody = selectedCutPoint.Child;
      // disconnect the function body from the tree
      selectedCutPoint.Parent.RemoveSubtree(selectedCutPoint.ChildIndex);
      // disconnect the argument branches from the function
      functionBody = DisconnectBranches(functionBody, argumentCutPoints);
      // insert a function invocation symbol instead
      var invokeNode = (InvokeFunctionTreeNode)(new InvokeFunction(newFunctionName)).CreateTreeNode();
      selectedCutPoint.Parent.InsertSubtree(selectedCutPoint.ChildIndex, invokeNode);
      // add the branches selected as argument as subtrees of the function invocation node
      foreach (var argumentCutPoint in argumentCutPoints)
        invokeNode.AddSubtree(argumentCutPoint.Child);

      // insert a new function defining branch
      var defunNode = (DefunTreeNode)(new Defun()).CreateTreeNode();
      defunNode.FunctionName = newFunctionName;
      defunNode.AddSubtree(functionBody);
      symbolicExpressionTree.Root.AddSubtree(defunNode);
      // the grammar in the newly defined function is a clone of the grammar of the originating branch
      defunNode.SetGrammar((ISymbolicExpressionTreeGrammar)selectedBody.Grammar.Clone());

      var allowedChildSymbols = selectedBody.Grammar.GetAllowedChildSymbols(selectedBody.Symbol);
      foreach (var allowedChildSymbol in allowedChildSymbols)
        defunNode.Grammar.AddAllowedChildSymbol(defunNode.Symbol, allowedChildSymbol);
      var maxSubtrees = selectedBody.Grammar.GetMaximumSubtreeCount(selectedBody.Symbol);
      for (int i = 0; i < maxSubtrees; i++) {
        foreach (var allowedChildSymbol in selectedBody.Grammar.GetAllowedChildSymbols(selectedBody.Symbol, i))
          defunNode.Grammar.AddAllowedChildSymbol(defunNode.Symbol, allowedChildSymbol);
      }

      // remove all argument symbols from grammar except that one contained in cutpoints
      var oldArgumentSymbols = selectedBody.Grammar.Symbols.OfType<Argument>().ToList();
      foreach (var oldArgSymb in oldArgumentSymbols)
        defunNode.Grammar.RemoveSymbol(oldArgSymb);
      // find unique argument indexes and matching symbols in the function defining branch 
      var newArgumentIndexes = (from node in defunNode.IterateNodesPrefix().OfType<ArgumentTreeNode>()
                                select node.Symbol.ArgumentIndex).Distinct();
      // add argument symbols to grammar of function defining branch
      GrammarModifier.AddArgumentSymbol(selectedBody.Grammar, defunNode.Grammar, newArgumentIndexes, argumentCutPoints);
      defunNode.NumberOfArguments = newArgumentIndexes.Count();
      if (defunNode.NumberOfArguments != argumentCutPoints.Count) throw new InvalidOperationException();
      // add invoke symbol for newly defined function to the original branch 
      GrammarModifier.AddInvokeSymbol(selectedBody.Grammar, defunNode.FunctionName, defunNode.NumberOfArguments, selectedCutPoint, argumentCutPoints);

      // when the new function body was taken from another function definition
      // add invoke symbol for newly defined function to all branches that are allowed to invoke the original branch
      if (selectedBody.Symbol is Defun) {
        var originalFunctionDefinition = selectedBody as DefunTreeNode;
        foreach (var subtree in symbolicExpressionTree.Root.Subtrees) {
          var originalBranchInvokeSymbol = (from symb in subtree.Grammar.Symbols.OfType<InvokeFunction>()
                                            where symb.FunctionName == originalFunctionDefinition.FunctionName
                                            select symb).SingleOrDefault();
          // when the original branch can be invoked from the subtree then also allow invocation of the function
          if (originalBranchInvokeSymbol != null) {
            GrammarModifier.AddInvokeSymbol(subtree.Grammar, defunNode.FunctionName, defunNode.NumberOfArguments, selectedCutPoint, argumentCutPoints);
          }
        }
      }
      return true;
    }

    private static ISymbolicExpressionTreeNode DisconnectBranches(ISymbolicExpressionTreeNode node, List<CutPoint> argumentCutPoints) {
      int argumentIndex = argumentCutPoints.FindIndex(x => x.Child == node);
      if (argumentIndex != -1) {
        var argSymbol = new Argument(argumentIndex);
        return argSymbol.CreateTreeNode();
      }
      // remove the subtrees so that we can clone only the root node
      List<ISymbolicExpressionTreeNode> subtrees = new List<ISymbolicExpressionTreeNode>(node.Subtrees);
      while (node.Subtrees.Count() > 0) node.RemoveSubtree(0);
      // recursively apply function for subtrees or append a argument terminal node
      foreach (var subtree in subtrees) {
        node.AddSubtree(DisconnectBranches(subtree, argumentCutPoints));
      }
      return node;
    }

    private static List<CutPoint> SelectRandomArgumentBranches(ISymbolicExpressionTreeNode selectedRoot,
      IRandom random,
      double cutProbability,
      int maxArguments) {
      // breadth first determination of argument cut-off points
      // we must make sure that we cut off all original argument nodes and that the number of new argument is smaller than the limit
      List<CutPoint> argumentBranches = new List<CutPoint>();
      if (selectedRoot is ArgumentTreeNode) {
        argumentBranches.Add(new CutPoint(selectedRoot.Parent, selectedRoot));
        return argumentBranches;
      } else {
        // get the number of argument nodes (which must be cut-off) in the sub-trees
        var numberOfArgumentsInSubtrees = (from subtree in selectedRoot.Subtrees
                                           let nArgumentsInTree = subtree.IterateNodesPrefix().OfType<ArgumentTreeNode>().Count()
                                           select nArgumentsInTree).ToList();
        // determine the minimal number of new argument nodes for each sub-tree
        //if we exceed the maxArguments return the same cutpoint as the start cutpoint to create a ADF that returns only its argument
        var minNewArgumentsForSubtrees = numberOfArgumentsInSubtrees.Select(x => x > 0 ? 1 : 0).ToList();
        if (minNewArgumentsForSubtrees.Sum() > maxArguments) {
          argumentBranches.Add(new CutPoint(selectedRoot.Parent, selectedRoot));
          return argumentBranches;
        }
        // cut-off in the sub-trees in random order
        var randomIndexes = (from index in Enumerable.Range(0, selectedRoot.Subtrees.Count())
                             select new { Index = index, OrderValue = random.NextDouble() })
                             .OrderBy(x => x.OrderValue)
                             .Select(x => x.Index);
        foreach (var subtreeIndex in randomIndexes) {
          var subtree = selectedRoot.GetSubtree(subtreeIndex);
          minNewArgumentsForSubtrees[subtreeIndex] = 0;
          // => cut-off at 0..n points somewhere in the current sub-tree
          // determine the maximum number of new arguments that should be created in the branch
          // as the maximum for the whole branch minus already added arguments minus minimal number of arguments still left
          int maxArgumentsFromBranch = maxArguments - argumentBranches.Count - minNewArgumentsForSubtrees.Sum();
          // when no argument is allowed from the current branch then we have to include the whole branch into the function
          // otherwise: choose randomly wether to cut off immediately or wether to extend the function body into the branch
          if (maxArgumentsFromBranch == 0) {
            // don't cut at all => the whole sub-tree branch is included in the function body
            // (we already checked ahead of time that there are no arguments left over in the subtree)
          } else if (random.NextDouble() >= cutProbability) {
            argumentBranches.AddRange(SelectRandomArgumentBranches(subtree, random, cutProbability, maxArgumentsFromBranch));
          } else {
            // cut-off at current sub-tree
            argumentBranches.Add(new CutPoint(subtree.Parent, subtree));
          }
        }
        return argumentBranches;
      }
    }
  }
}