#region License Information
/* HeuristicLab
 * Copyright (C) 2002-2019 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.Globalization;
using System.Linq;
using System.Text;
using HEAL.Attic;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;

namespace HeuristicLab.Problems.DataAnalysis.Symbolic {

  [Item("MATLAB String Formatter", "String formatter for string representations of symbolic data analysis expressions in MATLAB syntax.")]
  [StorableType("ADFB0A37-412D-4DD4-A174-F0103ADD7972")]
  public sealed class SymbolicDataAnalysisExpressionMATLABFormatter : NamedItem, ISymbolicExpressionTreeStringFormatter {
    private int currentLag;

    [StorableConstructor]
    private SymbolicDataAnalysisExpressionMATLABFormatter(StorableConstructorFlag _) : base(_) { }
    private SymbolicDataAnalysisExpressionMATLABFormatter(SymbolicDataAnalysisExpressionMATLABFormatter original, Cloner cloner) : base(original, cloner) { }
    public SymbolicDataAnalysisExpressionMATLABFormatter()
      : base() {
      Name = ItemName;
      Description = ItemDescription;
    }
    public override IDeepCloneable Clone(Cloner cloner) {
      return new SymbolicDataAnalysisExpressionMATLABFormatter(this, cloner);
    }
    private int currentIndexNumber;
    public string CurrentIndexVariable {
      get {
        return "i" + currentIndexNumber;
      }
    }
    private void ReleaseIndexVariable() {
      currentIndexNumber--;
    }

    private string AllocateIndexVariable() {
      currentIndexNumber++;
      return CurrentIndexVariable;
    }

    public string Format(ISymbolicExpressionTree symbolicExpressionTree) {
      currentLag = 0;
      currentIndexNumber = 0;

      var stringBuilder = new StringBuilder();
      stringBuilder.AppendLine("rows = ???");
      stringBuilder.AppendLine(FormatOnlyExpression(symbolicExpressionTree.Root) + ";");
      stringBuilder.AppendLine();
      stringBuilder.AppendLine("function y = log_(x)");
      stringBuilder.AppendLine("  if(x<=0) y = NaN;");
      stringBuilder.AppendLine("  else     y = log(x);");
      stringBuilder.AppendLine("  end");
      stringBuilder.AppendLine("end");
      stringBuilder.AppendLine();
      stringBuilder.AppendLine("function y = fivePoint(f0, f1, f3, f4)");
      stringBuilder.AppendLine("  y = (f0 + 2*f1 - 2*f3 - f4) / 8;");
      stringBuilder.AppendLine("end");

      var factorVariableNames =
        symbolicExpressionTree.IterateNodesPostfix()
          .OfType<FactorVariableTreeNode>()
          .Select(n => n.VariableName)
          .Distinct();

      foreach (var factorVarName in factorVariableNames) {
        var factorSymb = symbolicExpressionTree.IterateNodesPostfix()
          .OfType<FactorVariableTreeNode>()
          .First(n => n.VariableName == factorVarName)
          .Symbol;
        stringBuilder.AppendFormat("function y = switch_{0}(val, v)", factorVarName).AppendLine();
        var values = factorSymb.GetVariableValues(factorVarName).ToArray();
        stringBuilder.AppendLine("switch val");
        for (int i = 0; i < values.Length; i++) {
          stringBuilder.AppendFormat(CultureInfo.InvariantCulture, "  case \"{0}\" y = v({1})", values[i], i).AppendLine();
        }
        stringBuilder.AppendLine("end");
        stringBuilder.AppendLine();
      }

      return stringBuilder.ToString();
    }

    public string FormatOnlyExpression(ISymbolicExpressionTreeNode expressionNode) {
      var stringBuilder = new StringBuilder();
      stringBuilder.AppendLine("  for " + CurrentIndexVariable + " = 1:1:rows");
      stringBuilder.AppendLine("    estimated(" + CurrentIndexVariable + ") = " + FormatRecursively(expressionNode.GetSubtree(0)) + ";");
      stringBuilder.AppendLine("  end;");
      return stringBuilder.ToString();
    }

    private string FormatRecursively(ISymbolicExpressionTreeNode node) {
      ISymbol symbol = node.Symbol;
      StringBuilder stringBuilder = new StringBuilder();

      if (symbol is ProgramRootSymbol) {
        stringBuilder.AppendLine(FormatRecursively(node.GetSubtree(0)));
      } else if (symbol is StartSymbol)
        return FormatRecursively(node.GetSubtree(0));
      else if (symbol is Addition) {
        stringBuilder.Append("(");
        for (int i = 0; i < node.SubtreeCount; i++) {
          if (i > 0) stringBuilder.Append("+");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
        }
        stringBuilder.Append(")");
      } else if (symbol is Absolute) {
        stringBuilder.Append($"abs({FormatRecursively(node.GetSubtree(0))})");
      } else if (symbol is AnalyticQuotient) {
        stringBuilder.Append($"({FormatRecursively(node.GetSubtree(0))}) / sqrt(1 + ({FormatRecursively(node.GetSubtree(1))}).^2)");
      } else if (symbol is And) {
        stringBuilder.Append("((");
        for (int i = 0; i < node.SubtreeCount; i++) {
          if (i > 0) stringBuilder.Append("&");
          stringBuilder.Append("((");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
          stringBuilder.Append(")>0)");
        }
        stringBuilder.Append(")-0.5)*2");
        // MATLAB maps false and true to 0 and 1, resp., we map this result to -1.0 and +1.0, resp.
      } else if (symbol is Average) {
        stringBuilder.Append("(1/");
        stringBuilder.Append(node.SubtreeCount);
        stringBuilder.Append(")*(");
        for (int i = 0; i < node.SubtreeCount; i++) {
          if (i > 0) stringBuilder.Append("+");
          stringBuilder.Append("(");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
          stringBuilder.Append(")");
        }
        stringBuilder.Append(")");
      } else if (symbol is Constant) {
        ConstantTreeNode constantTreeNode = node as ConstantTreeNode;
        stringBuilder.Append(constantTreeNode.Value.ToString(CultureInfo.InvariantCulture));
      } else if (symbol is Cosine) {
        stringBuilder.Append("cos(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is Division) {
        if (node.SubtreeCount == 1) {
          stringBuilder.Append("1/");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        } else {
          stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
          stringBuilder.Append("/(");
          for (int i = 1; i < node.SubtreeCount; i++) {
            if (i > 1) stringBuilder.Append("*");
            stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
          }
          stringBuilder.Append(")");
        }
      } else if (symbol is Exponential) {
        stringBuilder.Append("exp(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is Square) {
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(").^2");
      } else if (symbol is SquareRoot) {
        stringBuilder.Append("sqrt(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is Cube) {
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(").^3");
      } else if (symbol is CubeRoot) {
        stringBuilder.Append("NTHROOT(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(", 3)");
      } else if (symbol is GreaterThan) {
        stringBuilder.Append("((");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(">");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(1)));
        stringBuilder.Append(")-0.5)*2");
        // MATLAB maps false and true to 0 and 1, resp., we map this result to -1.0 and +1.0, resp.
      } else if (symbol is IfThenElse) {
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(">0)*");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(1)));
        stringBuilder.Append("+");
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append("<=0)*");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(2)));
      } else if (symbol is LaggedVariable) {
        // this if must be checked before if(symbol is LaggedVariable)
        LaggedVariableTreeNode laggedVariableTreeNode = node as LaggedVariableTreeNode;
        stringBuilder.Append(laggedVariableTreeNode.Weight.ToString(CultureInfo.InvariantCulture));
        stringBuilder.Append("*");
        stringBuilder.Append(laggedVariableTreeNode.VariableName +
                             LagToString(currentLag + laggedVariableTreeNode.Lag));
      } else if (symbol is LessThan) {
        stringBuilder.Append("((");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append("<");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(1)));
        stringBuilder.Append(")-0.5)*2");
        // MATLAB maps false and true to 0 and 1, resp., we map this result to -1.0 and +1.0, resp.
      } else if (symbol is Logarithm) {
        stringBuilder.Append("log_(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is Multiplication) {
        for (int i = 0; i < node.SubtreeCount; i++) {
          if (i > 0) stringBuilder.Append("*");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
        }
      } else if (symbol is Not) {
        stringBuilder.Append("~(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(" > 0 )");
      } else if (symbol is Or) {
        stringBuilder.Append("((");
        for (int i = 0; i < node.SubtreeCount; i++) {
          if (i > 0) stringBuilder.Append("|");
          stringBuilder.Append("((");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
          stringBuilder.Append(")>0)");
        }
        stringBuilder.Append(")-0.5)*2");
        // MATLAB maps false and true to 0 and 1, resp., we map this result to -1.0 and +1.0, resp.
      } else if (symbol is Sine) {
        stringBuilder.Append("sin(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is Subtraction) {
        stringBuilder.Append("(");
        if (node.SubtreeCount == 1) {
          stringBuilder.Append("-");
          stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        } else {
          stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
          for (int i = 1; i < node.SubtreeCount; i++) {
            stringBuilder.Append("-");
            stringBuilder.Append(FormatRecursively(node.GetSubtree(i)));
          }
        }
        stringBuilder.Append(")");
      } else if (symbol is Tangent) {
        stringBuilder.Append("tan(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is HyperbolicTangent) {
        stringBuilder.Append("tanh(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is AiryA) {
        stringBuilder.Append("airy(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is AiryB) {
        stringBuilder.Append("airy(2, ");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Bessel) {
        stringBuilder.Append("besseli(0.0,");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is CosineIntegral) {
        stringBuilder.Append("cosint(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Dawson) {
        stringBuilder.Append("dawson(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Erf) {
        stringBuilder.Append("erf(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is ExponentialIntegralEi) {
        stringBuilder.Append("expint(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is FresnelCosineIntegral) {
        stringBuilder.Append("FresnelC(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is FresnelSineIntegral) {
        stringBuilder.Append("FresnelS(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Gamma) {
        stringBuilder.Append("gamma(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is HyperbolicCosineIntegral) {
        stringBuilder.Append("Chi(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is HyperbolicSineIntegral) {
        stringBuilder.Append("Shi(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Norm) {
        stringBuilder.Append("normpdf(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is Psi) {
        stringBuilder.Append("psi(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (node.Symbol is SineIntegral) {
        stringBuilder.Append("sinint(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
      } else if (symbol is HeuristicLab.Problems.DataAnalysis.Symbolic.Variable) {
        VariableTreeNode variableTreeNode = node as VariableTreeNode;
        stringBuilder.Append(variableTreeNode.Weight.ToString(CultureInfo.InvariantCulture));
        stringBuilder.Append("*");
        stringBuilder.Append(variableTreeNode.VariableName + LagToString(currentLag));
      } else if (symbol is HeuristicLab.Problems.DataAnalysis.Symbolic.FactorVariable) {
        var factorNode = node as FactorVariableTreeNode;
        var weights = string.Join(" ", factorNode.Weights.Select(w => w.ToString("G17", CultureInfo.InvariantCulture)));
        stringBuilder.AppendFormat("switch_{0}(\"{1}\",[{2}])",
          factorNode.VariableName, factorNode.VariableName, weights)
          .AppendLine();
      } else if (symbol is HeuristicLab.Problems.DataAnalysis.Symbolic.BinaryFactorVariable) {
        var factorNode = node as BinaryFactorVariableTreeNode;
        stringBuilder.AppendFormat(CultureInfo.InvariantCulture,
          "((strcmp({0},\"{1}\")==1) * {2:G17})", factorNode.VariableName, factorNode.VariableValue, factorNode.Weight);
      } else if (symbol is Power) {
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")^round(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(1)));
        stringBuilder.Append(")");
      } else if (symbol is Root) {
        stringBuilder.Append("(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")^(1 / round(");
        stringBuilder.Append(FormatRecursively(node.GetSubtree(1)));
        stringBuilder.Append("))");
      } else if (symbol is Derivative) {
        stringBuilder.Append("fivePoint(");
        // f0
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(", ");
        // f1
        currentLag--;
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(", ");
        // f3
        currentLag -= 2;
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(", ");
        currentLag--;
        // f4
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        stringBuilder.Append(")");
        currentLag += 4;
      } else if (symbol is Integral) {
        var laggedNode = node as LaggedTreeNode;
        string prevCounterVariable = CurrentIndexVariable;
        string counterVariable = AllocateIndexVariable();
        stringBuilder.AppendLine(" sum (map(@(" + counterVariable + ") " + FormatRecursively(node.GetSubtree(0)) +
                                 ", (" + prevCounterVariable + "+" + laggedNode.Lag + "):" + prevCounterVariable +
                                 "))");
        ReleaseIndexVariable();
      } else if (symbol is TimeLag) {
        var laggedNode = node as LaggedTreeNode;
        currentLag += laggedNode.Lag;
        stringBuilder.Append(FormatRecursively(node.GetSubtree(0)));
        currentLag -= laggedNode.Lag;
      } else {
        stringBuilder.Append("ERROR");
      }
      return stringBuilder.ToString();
    }


    private string LagToString(int lag) {
      if (lag < 0) {
        return "(" + CurrentIndexVariable + "" + lag + ")";
      } else if (lag > 0) {
        return "(" + CurrentIndexVariable + "+" + lag + ")";
      } else return "(" + CurrentIndexVariable + ")";
    }

  }
}