package models.dataConstraintModel;

import java.util.AbstractMap;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Collection;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Map;
import java.util.Stack;

import models.algebra.Constant;
import models.algebra.Expression;
import models.algebra.LambdaAbstraction;
import models.algebra.Symbol;
import models.algebra.Term;
import models.algebra.Type;
import models.algebra.Variable;
import parser.Parser;

public class DataConstraintModel {
	protected List<ResourcePath> resourcePaths = null;
	protected HashMap<String, ResourceHierarchy> resourceHierarchies = null;
	protected HashMap<String, Channel> channels = null;
	protected HashMap<String, Channel> inputChannels = null;
	protected HashMap<String, Type> types = null;
	protected HashMap<String, Symbol> symbols = null;
	public static final Type typeInt = new Type("Int", "int");
	public static final Type typeLong = new Type("Long", "long", typeInt);
	public static final Type typeFloat = new Type("Float", "float", typeInt);
	public static final Type typeDouble = new Type("Double", "double", typeFloat);
	public static final Type typeBoolean = new Type("Bool", "boolean");
	public static final Type typeString = new Type("Str", "String") {
		public String valueToRepresentation(Object value) {
			if (value instanceof String) {
				return Parser.DOUBLE_QUOT + (String) value + Parser.DOUBLE_QUOT;
			}
			return value.toString();
		}
		public Object representationToValue(String representation) {
			if (representation.startsWith(Parser.DOUBLE_QUOT) && representation.endsWith(Parser.DOUBLE_QUOT)) {
				return representation.substring(1, representation.length() - 1);
			}
			return representation;
		}
	};
	public static final Type typeList = new Type("List", "ArrayList", "List");
	public static final Type typeListInt = new Type("List", "ArrayList<>", "List<Integer>", typeList);
	public static final Type typeListStr = new Type("List", "ArrayList<>", "List<String>", typeList);
	public static final Type typeTuple = new Type("Tuple", "AbstractMap.SimpleEntry", "Map.Entry");
	public static final Type typePair = new Type("Pair", "Pair", "Pair");
	public static final Type typePairInt = new Type("Pair", "Pair<Integer>", "Pair<Integer>", typePair);
	public static final Type typePairStr = new Type("Pair", "Pair<String>", "Pair<String>", typePair);
	public static final Type typePairDouble = new Type("Pair", "Pair<Double>", "Pair<Double>", typePair);
	public static final Type typeMap = new Type("Map", "HashMap<>", "Map");
	public static final JsonType typeJson = new JsonType("Json", "HashMap<>", "Map<String, Object>");
	public static final Symbol add = new Symbol(Parser.ADD, 2, Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			if (arg0.getType() != null && arg1.getType() != null) {
				if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
					return new Constant(Double.toString(Double.parseDouble(sArg0) + Double.parseDouble(sArg1)), typeDouble);
				} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
					return new Constant(Float.toString(Float.parseFloat(sArg0) + Float.parseFloat(sArg1)), typeFloat);
				} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
					return new Constant(Long.toString(Long.parseLong(sArg0) + Long.parseLong(sArg1)), typeLong);
				} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
					return new Constant(Integer.toString(Integer.parseInt(sArg0) + Integer.parseInt(sArg1)), typeInt);
				} else if (arg0.getType().equals(typeString) || arg1.getType().equals(typeString)) {
					return new Constant((String) arg0.getValue() + (String) arg1.getValue(), typeString);
				}
			}
			if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
				return new Constant(Double.toString(Double.parseDouble(sArg0) + Double.parseDouble(sArg1)), typeDouble);
			} else {
				return new Constant(Integer.toString(Integer.parseInt(sArg0) + Integer.parseInt(sArg1)), typeInt);
			}
		}
	});
	public static final Symbol mul = new Symbol(Parser.MUL, 2, Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			if (arg0.getType() != null && arg1.getType() != null) {
				if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
					return new Constant(Double.toString(Double.parseDouble(sArg0) * Double.parseDouble(sArg1)), typeDouble);
				} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
					return new Constant(Float.toString(Float.parseFloat(sArg0) * Float.parseFloat(sArg1)), typeFloat);
				} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
					return new Constant(Long.toString(Long.parseLong(sArg0) * Long.parseLong(sArg1)), typeLong);
				} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
					return new Constant(Integer.toString(Integer.parseInt(sArg0) * Integer.parseInt(sArg1)), typeInt);
				}
			}
			if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
				return new Constant(Double.toString(Double.parseDouble(sArg0) * Double.parseDouble(sArg1)), typeDouble);
			} else {
				return new Constant(Integer.toString(Integer.parseInt(sArg0) * Integer.parseInt(sArg1)), typeInt);
			}
		}
	});
	public static final Symbol sub = new Symbol(Parser.SUB, 2, Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			if (arg0.getType() != null && arg1.getType() != null) {
				if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
					return new Constant(Double.toString(Double.parseDouble(sArg0) - Double.parseDouble(sArg1)), typeDouble);
				} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
					return new Constant(Float.toString(Float.parseFloat(sArg0) - Float.parseFloat(sArg1)), typeFloat);
				} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
					return new Constant(Long.toString(Long.parseLong(sArg0) - Long.parseLong(sArg1)), typeLong);
				} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
					return new Constant(Integer.toString(Integer.parseInt(sArg0) - Integer.parseInt(sArg1)), typeInt);
				}
			}
			if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
				return new Constant(Double.toString(Double.parseDouble(sArg0) - Double.parseDouble(sArg1)), typeDouble);
			} else {
				return new Constant(Integer.toString(Integer.parseInt(sArg0) - Integer.parseInt(sArg1)), typeInt);
			}
		}
	});
	public static final Symbol div = new Symbol(Parser.DIV, 2, Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			if (arg0.getType() != null && arg1.getType() != null) {
				if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
					return new Constant(Double.toString(Double.parseDouble(sArg0) / Double.parseDouble(sArg1)), typeDouble);
				} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
					return new Constant(Float.toString(Float.parseFloat(sArg0) / Float.parseFloat(sArg1)), typeFloat);
				} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
					return new Constant(Long.toString(Long.parseLong(sArg0) / Long.parseLong(sArg1)), typeLong);
				} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
					return new Constant(Integer.toString(Integer.parseInt(sArg0) / Integer.parseInt(sArg1)), typeInt);
				}
			}
			if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
				return new Constant(Double.toString(Double.parseDouble(sArg0) / Double.parseDouble(sArg1)), typeDouble);
			} else {
				return new Constant(Integer.toString(Integer.parseInt(sArg0) / Integer.parseInt(sArg1)), typeInt);
			}
		}
	});
	public static final Symbol mod = new Symbol(Parser.MOD, 2, Symbol.Type.INFIX, "%", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			if (arg0.getType() != null && arg1.getType() != null) {
				if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
					return new Constant(Long.toString(Long.parseLong(sArg0) % Long.parseLong(sArg1)), typeLong);
				} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
					return new Constant(Integer.toString(Integer.parseInt(sArg0) % Integer.parseInt(sArg1)), typeInt);
				}
			}
			return new Constant(Integer.toString(Integer.parseInt(sArg0) % Integer.parseInt(sArg1)));
		}
	});
	public static final Symbol minus = new Symbol(Parser.MINUS, 1, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			Constant arg = (Constant) args.get(0);
			String sArg = arg.getSymbol().toString();
			if (arg.getType() != null) {
				if (arg.getType().equals(typeDouble)) {
					return new Constant(Double.toString(-Double.parseDouble(sArg)), typeDouble);
				} else if (arg.getType().equals(typeFloat)) {
					return new Constant(Float.toString(-Float.parseFloat(sArg)), typeFloat);
				} else if (arg.getType().equals(typeLong)) {
					return new Constant(Long.toString(-Long.parseLong(sArg)), typeLong);
				} else if (arg.getType().equals(typeInt)) {
					return new Constant(Integer.toString(-Integer.parseInt(sArg)), typeInt);
				}
			}
			if (sArg.contains(Parser.DOT)) {
				return new Constant(Double.toString(-Double.parseDouble(sArg)), typeDouble);
			} else {
				return new Constant(Integer.toString(-Integer.parseInt(sArg)), typeInt);
			}
		}
	});
	public static final Symbol eq = new Symbol(Parser.EQ, 2, Symbol.Type.INFIX, new Symbol.IImplGenerator() {
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] children, String[] childrenSideEffects, String[] sideEffect) {
			for (String s: childrenSideEffects) {
				sideEffect[0] += s;
			}
			if (childrenTypes[0] != null && childrenTypes[0].equals(typeString) 
					&& childrenTypes[1] != null && childrenTypes[1].equals(typeString)) {
				return children[0] + ".equals(" + children[1] + ")";
			}
			return "(" + children[0] + "==" + children[1] + ")";
		}
	}, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) == Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) == Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) == Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) == Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) == Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) == Integer.parseInt(sArg1));
			} else if (arg0.getType().equals(typeString) || arg1.getType().equals(typeString)) {
				result = sArg0.toString().equals(sArg1.toString());
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol neq = new Symbol(Parser.NEQ, 2, Symbol.Type.INFIX, new Symbol.IImplGenerator() {
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] children, String[] childrenSideEffects, String[] sideEffect) {
			for (String s: childrenSideEffects) {
				sideEffect[0] += s;
			}
			if (childrenTypes[0] != null && childrenTypes[0].equals(typeString) 
					&& childrenTypes[1] != null && childrenTypes[1].equals(typeString)) {
				return "!" + children[0] + ".equals(" + children[1] + ")";
			}
			return "(" + children[0] + "!=" + children[1] + ")";
		}
	}, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) != Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) != Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) != Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) != Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) != Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) != Integer.parseInt(sArg1));
			} else if (arg0.getType().equals(typeString) || arg1.getType().equals(typeString)) {
				result = !(sArg0.toString().equals(sArg1.toString()));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol gt = new Symbol(Parser.GT, 2, Symbol.Type.INFIX, ">", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) > Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) > Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) > Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) > Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) > Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) > Integer.parseInt(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol lt = new Symbol(Parser.LT, 2, Symbol.Type.INFIX, "<", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) < Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) < Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) < Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) < Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) < Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) < Integer.parseInt(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol ge = new Symbol(Parser.GE, 2, Symbol.Type.INFIX, ">=", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) >= Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) >= Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) >= Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) >= Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) >= Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) >= Integer.parseInt(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol le = new Symbol(Parser.LE, 2, Symbol.Type.INFIX, "<=", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) {
				if (sArg0.contains(Parser.DOT) || sArg1.contains(Parser.DOT)) {
					result = Double.parseDouble(sArg0) <= Double.parseDouble(sArg1);
				} else {
					result = Integer.parseInt(sArg0) <= Integer.parseInt(sArg1);
				}
			}
			if (arg0.getType().equals(typeDouble) || arg1.getType().equals(typeDouble)) {
				result = (Double.parseDouble(sArg0) <= Double.parseDouble(sArg1));
			} else if (arg0.getType().equals(typeFloat) || arg1.getType().equals(typeFloat)) {
				result = (Float.parseFloat(sArg0) <= Float.parseFloat(sArg1));
			} else if (arg0.getType().equals(typeLong) || arg1.getType().equals(typeLong)) {
				result = (Long.parseLong(sArg0) <= Long.parseLong(sArg1));
			} else if (arg0.getType().equals(typeInt) || arg1.getType().equals(typeInt)) {
				result = (Integer.parseInt(sArg0) <= Integer.parseInt(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol and = new Symbol(Parser.AND, 2, Symbol.Type.INFIX, "&&", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) return null;
			if (arg0.getType().equals(typeBoolean) || arg1.getType().equals(typeBoolean)) {
				result = (Boolean.parseBoolean(sArg0) && Boolean.parseBoolean(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol or = new Symbol(Parser.OR, 2, Symbol.Type.INFIX, "||", Symbol.Type.INFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			if (!(args.get(1).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			Constant arg1 = (Constant) args.get(1);
			String sArg0 = arg0.getSymbol().toString();
			String sArg1 = arg1.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null || arg1.getType() == null) return null;
			if (arg0.getType().equals(typeBoolean) || arg1.getType().equals(typeBoolean)) {
				result = (Boolean.parseBoolean(sArg0) || Boolean.parseBoolean(sArg1));
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol neg = new Symbol(Parser.NEG, 1, Symbol.Type.PREFIX, "!", Symbol.Type.PREFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) {
				return null;
			}
			Constant arg0 = (Constant) args.get(0);
			String sArg0 = arg0.getSymbol().toString();
			boolean result = false;
			if (arg0.getType() == null) return null;
			if (arg0.getType().equals(typeBoolean)) {
				result = !Boolean.parseBoolean(sArg0);
			}
			if (result) {
				return new Constant(true_);
			} else {
				return new Constant(false_);
			}
		}
	});
	public static final Symbol cons = new Symbol("cons", 2, Symbol.Type.PREFIX, "($x,$y)->$x.add(0, $y)", Symbol.Type.LAMBDA_WITH_SIDE_EFFECT, new int[] {1, 0});
	public static final Symbol append = new Symbol("append", 2, Symbol.Type.PREFIX, "add", Symbol.Type.METHOD_WITH_SIDE_EFFECT);		// Don't calculate here (Calculated in simulator).
	public static final Symbol remove = new Symbol("remove", 2, Symbol.Type.PREFIX, "remove", Symbol.Type.METHOD_WITH_SIDE_EFFECT);		// Don't calculate here (Calculated in simulator).
	public static final Symbol head = new Symbol("head", 1, Symbol.Type.PREFIX, "($x)->$x.get(0)", Symbol.Type.LAMBDA);
	public static final Symbol tail = new Symbol("tail", 1, Symbol.Type.PREFIX, "($x)->$x.subList(1, $x.size())", Symbol.Type.LAMBDA);
	public static final Symbol length = new Symbol("length", 1, Symbol.Type.PREFIX, "($x)->$x.size()", Symbol.Type.LAMBDA, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(0).getClass() == Constant.class && ((Constant) args.get(0)).getSymbol().equals(nil)) {
				return new Constant("0", typeInt);
			}
			if (args.get(0) instanceof Term) {
				Term term = (Term) args.get(0);
				Type type = term.getType();
				if (typeList.isAncestorOf(type)) {
					int len = 0;
					while (term.getSymbol().equals(DataConstraintModel.append)) {
						len++;
						term = (Term) term.getChild(0);
					}
					if (term instanceof ListTerm) {
						len += ((ListTerm) term).getChildren().size();
						return new Constant(Integer.toString(len), typeInt);
					}
				} else if (typeMap.isAncestorOf(type)) {
					HashSet<String> keySet = new HashSet<>();
					while (term.getSymbol().equals(DataConstraintModel.insert)) {
						if (term.getChild(1).getClass() == Constant.class) {
							keySet.add((String) ((Constant) term.getChild(1)).getValue());
						}
						term = (Term) term.getChild(0);
					}
					if (term instanceof MapTerm) {
						keySet.addAll(((MapTerm) term).keySet());
						return new Constant(Integer.toString(keySet.size()), typeInt);
					}
				} else if (typeJson.isAncestorOf(type)) {
					HashSet<String> keySet = new HashSet<>();
					while (term.getSymbol().equals(DataConstraintModel.addMember)) {
						if (term.getChild(1).getClass() == Constant.class) {
							keySet.add((String) ((Constant) term.getChild(1)).getValue());
						}
						term = (Term) term.getChild(0);
					}
					if (term instanceof JsonTerm) {
						keySet.addAll(((JsonTerm) term).keySet());
						return new Constant(Integer.toString(keySet.size()), typeInt);
					}
				} else if (typeString.isAncestorOf(type)) {
					int len = 0;
					ArrayDeque<Term> strTerms = new ArrayDeque<>();
					strTerms.add(term);
					while (strTerms.size() > 0) {
						term = strTerms.poll();
						type = term.getType();
						if (term.getSymbol().equals(DataConstraintModel.add)) {
							strTerms.add((Term) term.getChild(0));
							strTerms.add((Term) term.getChild(1));
						} else if (term instanceof Constant && typeString.isAncestorOf(type)) {
							len += ((String) ((Constant) term).getValue()).length();
						}
					}
					return new Constant(Integer.toString(len), typeInt);
				}
			}
			return null;
		}
	});
	public static final Symbol get = new Symbol("get", 2, Symbol.Type.PREFIX, "get", Symbol.Type.METHOD, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(1).getClass() == Constant.class && ((Constant) args.get(1)).getType().equals(typeInt)) {
				int idx = Integer.parseInt(((Constant) args.get(1)).toString());
				if (args.get(0) instanceof Term) {
					Term term = (Term) args.get(0);
					Type type = term.getType();
					if (typeList.isAncestorOf(type)) {
						Stack<Expression> appendedChldren = new Stack<>();
						while (term.getSymbol().equals(DataConstraintModel.append)) {
							if (!(term.getChild(0) instanceof Term)) {
								return null;
							}
							appendedChldren.push(term.getChild(1));
							term = (Term) term.getChild(0);
						}
						if (term instanceof ListTerm) {
							ListTerm listTerm = (ListTerm) term.clone();
							for (Expression child: appendedChldren) {
								listTerm.append(child);
							}
							return listTerm.get(idx);
						}
					}
				}
			}
			return null;
		}
	});
	public static final Symbol set = new Symbol("set", 3, Symbol.Type.PREFIX, "set", Symbol.Type.METHOD_WITH_SIDE_EFFECT);				// Don't calculate here (Calculated in simulator).
	public static final Symbol contains = new Symbol("contains", 2, Symbol.Type.PREFIX, new Symbol.IImplGenerator() {
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] childrenImpl, String[] childrenSideEffects, String[] sideEffect) {
			for (String s: childrenSideEffects) {
				sideEffect[0] += s;
			}
			if (childrenTypes[0] != null && (typeMap.isAncestorOf(childrenTypes[0]) || typeJson.isAncestorOf(childrenTypes[0]))) {
				return childrenImpl[0] + "." + "containsKey(" + childrenImpl[1] + ")";
			}
			return childrenImpl[0] + "." + "contains(" + childrenImpl[1] + ")";
		}
	}, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(0).getClass() == Constant.class && ((Constant) args.get(0)).getSymbol().equals(nil)) {
				return new Constant(false_);
			}
			if (args.get(0) instanceof Term) {
				Term term = (Term) args.get(0);
				Type type = term.getType();
				if (typeList.isAncestorOf(type)) {
					while (term.getSymbol().equals(DataConstraintModel.append)) {
						if (term.getChild(1).equals(args.get(1))) {
							return new Constant(true_);
						}
						if (!(term.getChild(0) instanceof Term)) {
							return new Constant(false_);
						}
						term = (Term) term.getChild(0);
					}
					if (term instanceof ListTerm) {
						for (Expression element: term.getChildren()) {
							if (element.equals(args.get(1))) {
								return new Constant(true_);
							}
						}
						return new Constant(false_);
					}
				} else if (typeMap.isAncestorOf(type)) {
					while (term.getSymbol().equals(DataConstraintModel.insert)) {
						if (term.getChild(1).equals(args.get(1))) {
							return new Constant(true_);
						}
						if (!(term.getChild(0) instanceof Term)) {
							return new Constant(false_);
						}
						term = (Term) term.getChild(0);
					}
					if (term instanceof MapTerm) {
						String key;
						if (args.get(1) instanceof Constant) {
							key = (String) ((Constant) args.get(1)).getValue();
						} else {
							key = args.get(1).toString();
						}
						if (((MapTerm) term).keySet().contains(key)) {
							return new Constant(true_);
						}
						return new Constant(false_);
					}
				} else if (typeJson.isAncestorOf(type)) {
					while (term.getSymbol().equals(DataConstraintModel.addMember)) {
						if (term.getChild(1).equals(args.get(1))) {
							return new Constant(true_);
						}
						if (!(term.getChild(0) instanceof Term)) {
							return new Constant(false_);
						}
						term = (Term) term.getChild(0);
					}
					if (term instanceof JsonTerm) {
						String key;
						if (args.get(1) instanceof Constant) {
							key = (String) ((Constant) args.get(1)).getValue();
						} else {
							key = args.get(1).toString();
						}
						if (((JsonTerm) term).keySet().contains(key)) {
							return new Constant(true_);
						}
						return new Constant(false_);
					}
				}
			}
			return null;
		}
	});
	public static final Symbol indexOf = new Symbol("indexOf", 2, Symbol.Type.PREFIX, "indexOf", Symbol.Type.METHOD, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(0) instanceof Term) {
				Term term = (Term) args.get(0);
				Type type = term.getType();
				if (typeList.isAncestorOf(type)) {
					Stack<Expression> appendedChldren = new Stack<>();
					while (term.getSymbol().equals(DataConstraintModel.append)) {
						if (!(term.getChild(0) instanceof Term)) {
							return null;
						}
						appendedChldren.push(term.getChild(1));
						term = (Term) term.getChild(0);
					}
					if (term instanceof ListTerm) {
						int idx = 0;
						ListTerm listTerm = (ListTerm) term;
						for (Expression child: listTerm.getChildren()) {
							if (child.equals(args.get(1))) {
								return new Constant(Integer.toString(idx), typeInt);
							}
							idx++;
						}
						for (Expression child: appendedChldren) {
							if (child.equals(args.get(1))) {
								return new Constant(Integer.toString(idx), typeInt);
							}
							idx++;
						}
					}
				}
			}
			return null;
		}
	});
	public static final Symbol nil = new Symbol("nil", 0, Symbol.Type.PREFIX, new Symbol.IImplGenerator() {
		final int count[] = {0};
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] children, String[] childrenSideEffects, String[] sideEffect) {
			String compType = "";
			if (type != null) {
				String interfaceType = type.getInterfaceTypeName();
				if (interfaceType.contains("<")) {
					compType = interfaceType.substring(interfaceType.indexOf("<") + 1, interfaceType.lastIndexOf(">"));
				}
				String implType = type.getImplementationTypeName();
				if (implType.indexOf('<') >= 0) {
					implType = implType.substring(0, implType.indexOf('<'));
				}
				if (sideEffect == null) {
					return "new " + implType + "<>()";
				} else {
					String temp = "temp_nil" + count[0];
					if (sideEffect[0] == null) {
						sideEffect[0] = "";
					}
					sideEffect[0] += interfaceType + " " + temp + " = " + "new " + implType + "<" + compType + ">();\n";
					count[0]++;
					return temp;
				}
			}			
			return "new ArrayList<" + compType + ">()";
		}
	}, true);
	public static final Symbol null_ = new Symbol("null", 0, Symbol.Type.PREFIX, "null", Symbol.Type.PREFIX);
	public static final Symbol true_ = new Symbol("true", 0, Symbol.Type.PREFIX, "true", Symbol.Type.PREFIX);
	public static final Symbol false_ = new Symbol("false", 0, Symbol.Type.PREFIX, "false", Symbol.Type.PREFIX);
	public static final Symbol cond = new Symbol("if", 3, Symbol.Type.PREFIX, new Symbol.IImplGenerator() {
		final int count[] = {0};
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] childrenImpl, String[] childrenSideEffects, String[] sideEffect) {
			String temp = "temp_if" + count[0];
			String impl = ""; 
			
			impl += type.getInterfaceTypeName() + " " + temp + ";\n";
			if (childrenSideEffects[0] != null && childrenSideEffects[0].length() > 0) impl += childrenSideEffects[0];
			impl += "if (" + childrenImpl[0] + ") {\n";
			if (childrenSideEffects[1] != null && childrenSideEffects[1].length() > 0) impl += "\t" + childrenSideEffects[1];
			impl += "\t" + temp + " = " + childrenImpl[1] + ";\n";
			impl += "} else {\n";
			if (childrenSideEffects[2] != null && childrenSideEffects[2].length() > 0) impl += "\t" + childrenSideEffects[2];
			impl += "\t" + temp + " = " + childrenImpl[2] + ";\n";
			impl += "}\n";
			
			sideEffect[0] += impl;
			
			count[0]++;
			return temp;
		}
	}, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (!(args.get(0).getClass() == Constant.class)) return null;
			if (((Constant) args.get(0)).getSymbol().equals(true_)) {
				return args.get(1);
			} else if (((Constant) args.get(0)).getSymbol().equals(false_)) {
				return args.get(2);
			}
			return null;
		}
	});
	public static final Symbol pair = new Symbol("pair", -1, Symbol.Type.PREFIX, new Symbol.IImplGenerator() {
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] childrenImpl, String[] childrenSideEffects, String[] sideEffect) {
			for (String s: childrenSideEffects) {
				sideEffect[0] += s;
			}
			String impl = "new Pair<>(" + childrenImpl[0] + "," + childrenImpl[1] + ")";
			return impl;
		}
	});
	public static final Symbol tuple = new Symbol("tuple", -1, Symbol.Type.PREFIX, new Symbol.IImplGenerator() {
		@Override
		public String generate(Type type, Type[] childrenTypes, String[] childrenImpl, String[] childrenSideEffects, String[] sideEffect) {
			for (String s: childrenSideEffects) {
				sideEffect[0] += s;
			}
			String impl = "new AbstractMap.SimpleEntry<>(" + childrenImpl[0] + "$x)";
			for (int i = 1; i < childrenImpl.length - 1; i++) {
				impl = impl.replace("$x", ", new AbstractMap.SimpleEntry<>(" + childrenImpl[i] + "$x)");
			}
			impl = impl.replace("$x", ", " + childrenImpl[childrenImpl.length - 1]);
			return impl;
		}
	});
	public static final Symbol fst = new Symbol("fst", 1, Symbol.Type.PREFIX, "getKey", Symbol.Type.METHOD);
	public static final Symbol snd = new Symbol("snd", 1, Symbol.Type.PREFIX, "getValue", Symbol.Type.METHOD);
	public static final Symbol left = new Symbol("left", 1, Symbol.Type.PREFIX, "getLeft", Symbol.Type.METHOD);
	public static final Symbol right = new Symbol("right", 1, Symbol.Type.PREFIX, "getRight", Symbol.Type.METHOD);
	public static final Symbol insert = new Symbol("insert", 3, Symbol.Type.PREFIX, "put", Symbol.Type.METHOD_WITH_SIDE_EFFECT);		// Don't calculate here (Calculated in simulator).
	public static final Symbol delete = new Symbol("delete", 2, Symbol.Type.PREFIX, "remove", Symbol.Type.METHOD_WITH_SIDE_EFFECT);		// Don't calculate here (Calculated in simulator).
	public static final Symbol lookup = new Symbol("lookup", 2, Symbol.Type.PREFIX, "get", Symbol.Type.METHOD, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(1).getClass() == Constant.class && ((Constant) args.get(1)).getType().equals(typeString)) {
				String key = (String) ((Constant) args.get(1)).getValue();
				if (args.get(0) instanceof Term) {
					Term term = (Term) args.get(0);
					Type type = term.getType();
					if (typeMap.isAncestorOf(type)) {
						Stack<Map.Entry<Expression, Expression>> appendedChldren = new Stack<>();
						while (term.getSymbol().equals(DataConstraintModel.insert)) {
							if (!(term.getChild(0) instanceof Term)) {
								return null;
							}
							appendedChldren.push(new AbstractMap.SimpleEntry<>(term.getChild(0), term.getChild(1)));
							term = (Term) term.getChild(0);
						}
						if (term instanceof MapTerm) {
							MapTerm mapTerm = (MapTerm) term.clone();
							for (Map.Entry<Expression, Expression> childEnt: appendedChldren) {
								if (childEnt.getKey().getClass() == Constant.class)
								mapTerm.insert((String) ((Constant) childEnt.getKey()).getValue(), childEnt.getValue());
							}
							return mapTerm.get(key);
						}
					}
				}
			}
			return null;
		}
	});
	public static final Symbol addMember = new Symbol("addMember", 3, Symbol.Type.PREFIX, "put", Symbol.Type.METHOD_WITH_SIDE_EFFECT);
	public static final Symbol dot = new Symbol(Parser.DOT, 2, Symbol.Type.INFIX, "get", Symbol.Type.METHOD);
	public static final Symbol dotParam = new Symbol(Parser.DOT, 2, Symbol.Type.INFIX, "get", Symbol.Type.METHOD);
	public static final Symbol pi = new Symbol("PI", 0, Symbol.Type.PREFIX, "Math.PI", Symbol.Type.PREFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			return new Constant(Double.toString(Math.PI), typeDouble);
		}});
	public static final Symbol E = new Symbol("E", 0, Symbol.Type.PREFIX, "Math.E", Symbol.Type.PREFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			return new Constant(Double.toString(Math.E), typeDouble);
		}});
	public static final Symbol sqrt = new Symbol("sqrt", 1, Symbol.Type.PREFIX, "Math.sqrt", Symbol.Type.PREFIX, new Symbol.ICalculator() {
		@Override
		public Expression calculate(List<Expression> args) {
			if (args.get(0).getClass() == Constant.class) {
				if (((Constant) args.get(0)).getType().equals(typeDouble)) {
					return new Constant(Double.toString(Math.sqrt(Double.parseDouble((String) ((Constant) args.get(0)).getValue()))), typeDouble);
				} else if (((Constant) args.get(0)).getType().equals(typeFloat)) {
					return new Constant(Float.toString((float) Math.sqrt(Float.parseFloat((String) ((Constant) args.get(0)).getValue()))), typeFloat);
				}
			}
			return null;
		}});
	public static final Symbol sin = new Symbol("sin", 1, Symbol.Type.PREFIX, "Math.sin", Symbol.Type.PREFIX);
	public static final Symbol cos = new Symbol("cos", 1, Symbol.Type.PREFIX, "Math.cos", Symbol.Type.PREFIX);
	public static final Symbol tan = new Symbol("tan", 1, Symbol.Type.PREFIX, "Math.tan", Symbol.Type.PREFIX);
	public static final Symbol asin = new Symbol("asin", 1, Symbol.Type.PREFIX, "Math.asin", Symbol.Type.PREFIX);
	public static final Symbol acos = new Symbol("acos", 1, Symbol.Type.PREFIX, "Math.acos", Symbol.Type.PREFIX);
	public static final Symbol atan = new Symbol("atan", 1, Symbol.Type.PREFIX, "Math.atan", Symbol.Type.PREFIX);
	public static final Symbol pow = new Symbol("pow", 2, Symbol.Type.PREFIX, "Math.pow", Symbol.Type.PREFIX);
	public static final Symbol exp = new Symbol("exp", 1, Symbol.Type.PREFIX, "Math.exp", Symbol.Type.PREFIX);
	public static final Symbol log = new Symbol("log", 1, Symbol.Type.PREFIX, "Math.log", Symbol.Type.PREFIX);
	public static final Symbol abs = new Symbol("abs", 1, Symbol.Type.PREFIX, "Math.abs", Symbol.Type.PREFIX);
		
	static {
		add.setInverses(new Symbol[] {sub, sub});
		mul.setInverses(new Symbol[] {div, div});
		sub.setInverses(new Symbol[] {add});
		div.setInverses(new Symbol[] {mul});
		minus.setInverses(new Symbol[] {minus});
		mod.setSignature(new Type[] {typeInt, null, null});
		eq.setSignature(new Type[] {typeBoolean, null, null});
		neq.setSignature(new Type[] {typeBoolean, null, null});
		gt.setSignature(new Type[] {typeBoolean, null, null});
		lt.setSignature(new Type[] {typeBoolean, null, null});
		ge.setSignature(new Type[] {typeBoolean, null, null});
		le.setSignature(new Type[] {typeBoolean, null, null});
		and.setSignature(new Type[] {typeBoolean, typeBoolean, typeBoolean});
		or.setSignature(new Type[] {typeBoolean, typeBoolean, typeBoolean});
		neg.setSignature(new Type[] {typeBoolean, typeBoolean});
		cons.setInverses(new Symbol[] {head, tail});
		cons.setSignature(new Type[] {typeList, null, typeList});
		append.setSignature(new Type[] {typeList, typeList, null});
		remove.setSignature(new Type[] {typeList, typeList, typeInt});
		head.setSignature(new Type[] {null, typeList});
		tail.setSignature(new Type[] {typeList, typeList});
		contains.setSignature(new Type[] {typeBoolean, null, null});
		indexOf.setSignature(new Type[] {typeInt, typeList, null});
		length.setSignature(new Type[] {typeInt, null});
		get.setSignature(new Type[] {null, typeList, typeInt});
		set.setSignature(new Type[] {typeList, typeList, typeInt, null});
		null_.setSignature(new Type[] {null});
		true_.setSignature(new Type[] {typeBoolean});
		false_.setSignature(new Type[] {typeBoolean});
		pair.setSignature(new Type[] {typePair,null,null});
		pair.setInverses(new Symbol[] {left, right});
		left.setSignature(new Type[] {null, typePair});
		right.setSignature(new Type[] {null, typePair});
		tuple.setSignature(new Type[] {typeTuple, null, null});
		tuple.setInverses(new Symbol[] {fst, snd});
		fst.setSignature(new Type[] {null, typeTuple});
		fst.setInverses(new Symbol[] {new LambdaAbstraction(new Variable("x"), new Term(tuple, new Expression[] {new Variable("x"), new Variable("y")}))});
		snd.setSignature(new Type[] {null, typeTuple});
		snd.setInverses(new Symbol[] {new LambdaAbstraction(new Variable("y"), new Term(tuple, new Expression[] {new Variable("x"), new Variable("y")}))});
		insert.setSignature(new Type[] {typeMap, typeMap, null, null});
		delete.setSignature(new Type[] {typeMap, typeMap, null});
		lookup.setSignature(new Type[] {null, typeMap, null});
		addMember.setSignature(new Type[] {typeJson, typeJson, typeString, null});
		dot.setSignature(new Type[] {null, typeJson, typeString});
		dotParam.setSignature(new Type[] {null, typeJson, null});
		pi.setSignature(new Type[] {typeDouble});
		E.setSignature(new Type[] {typeDouble});
		sqrt.setSignature(new Type[] {typeDouble, typeDouble});
		sin.setSignature(new Type[] {typeDouble, typeDouble});
		cos.setSignature(new Type[] {typeDouble, typeDouble});
		tan.setSignature(new Type[] {typeDouble, typeDouble});
		asin.setSignature(new Type[] {typeDouble, typeDouble});
		asin.setInverses(new Symbol[] {sin});
		acos.setSignature(new Type[] {typeDouble, typeDouble});
		acos.setInverses(new Symbol[] {cos});
		atan.setSignature(new Type[] {typeDouble, typeDouble});
		atan.setInverses(new Symbol[] {tan});
		pow.setSignature(new Type[] {typeDouble, typeDouble, typeDouble});
		exp.setSignature(new Type[] {typeDouble, typeDouble});
		exp.setInverses(new Symbol[] {log});
		log.setSignature(new Type[] {typeDouble, typeDouble});
		log.setInverses(new Symbol[] {exp});
		abs.setSignature(new Type[] {typeDouble, typeDouble});
	}
	
	public DataConstraintModel() {
		resourcePaths = new ArrayList<>();
		resourceHierarchies = new HashMap<>();
		channels = new HashMap<>();
		inputChannels = new HashMap<>();
		types = new HashMap<>();
		addType(typeInt);
		addType(typeLong);
		addType(typeFloat);
		addType(typeDouble);
		addType(typeBoolean);
		addType(typeString);
		addType(typeList);
		addType(typePair);
		addType(typeTuple);
		addType(typeMap);
		addType(typeJson);
		symbols = new HashMap<>();
		addSymbol(add);
		addSymbol(mul);
		addSymbol(sub);
		addSymbol(div);
		addSymbol(minus);
		addSymbol(mod);
		addSymbol(eq);
		addSymbol(neq);
		addSymbol(gt);
		addSymbol(lt);
		addSymbol(ge);
		addSymbol(le);
		addSymbol(and);
		addSymbol(or);
		addSymbol(neg);
		addSymbol(cons);
		addSymbol(append);
		addSymbol(remove);
		addSymbol(head);
		addSymbol(tail);
		addSymbol(length);
		addSymbol(contains);
		addSymbol(indexOf);
		addSymbol(get);
		addSymbol(set);
		addSymbol(cond);
		addSymbol(nil);
		addSymbol(null_);
		addSymbol(true_);
		addSymbol(false_);
		addSymbol(pair);
		addSymbol(left);
		addSymbol(right);
		addSymbol(tuple);
		addSymbol(fst);
		addSymbol(snd);
		addSymbol(insert);
		addSymbol(delete);
		addSymbol(lookup);
		addSymbol(addMember);
		addSymbol(dot);
		addSymbol(dotParam);
		addSymbol(pi);
		addSymbol(E);
		addSymbol(sqrt);
		addSymbol(sin);
		addSymbol(cos);
		addSymbol(tan);
		addSymbol(asin);
		addSymbol(acos);
		addSymbol(atan);
		addSymbol(pow);
		addSymbol(exp);
		addSymbol(log);
		addSymbol(abs);
	}
	
	public Collection<ResourceHierarchy> getResourceHierarchies() {
		return resourceHierarchies.values();
	}
	
	public ResourceHierarchy getResourceHierarchy(String hierarchy) {
		return resourceHierarchies.get(hierarchy);
	}
	
	public ResourceHierarchy getOrPutResourceHierarchy(ResourceHierarchy resourceHierarchy) {
		String hierarchy = resourceHierarchy.toString();
		if (resourceHierarchies.get(hierarchy) != null) {
			return resourceHierarchies.get(hierarchy);
		}
		resourceHierarchies.put(hierarchy, resourceHierarchy);
		return resourceHierarchy;
	}
	
	public List<ResourcePath> getResourcePaths() {
		return resourcePaths;
	}
	
	public void addResourcePath(ResourcePath resourcePath) {
		resourcePaths.add(resourcePath);
		ResourceHierarchy childHierarchy = null;
		ResourceHierarchy hierarchy = null;
		do {
			hierarchy = resourcePath.getResourceHierarchy();
			if (hierarchy != null && resourceHierarchies.get(hierarchy.toString()) == null) {
				resourceHierarchies.put(hierarchy.toString(), hierarchy);				
			} else {
				hierarchy = resourceHierarchies.get(hierarchy.toString());
				resourcePath.setResourceHierarchy(hierarchy);
				if (childHierarchy != null) {
					childHierarchy.setParent(hierarchy);
				}
			}
			resourcePath = resourcePath.getParent();
			childHierarchy = hierarchy;
		} while (resourcePath != null);
	}
	
	public void setResourcePaths(List<ResourcePath> resourcePaths) {
		this.resourcePaths = resourcePaths;
	}
	
	public ResourcePath getResourcePath(String path) {
		for (ResourcePath resourcePath: resourcePaths) {
			if (resourcePath.toString().equals(path)) return resourcePath;
		}
		return null;
	}
	
	public void removeResourcePath(String path) {
		ResourcePath resourcePath = getResourcePath(path);
		if (resourcePath == null) return;
		resourcePaths.remove(resourcePath);
		removeResourcePath(resourcePath);
	}

	public void removeResourcePath(ResourcePath resourcePath) {
		for (Channel ch: channels.values()) {
			ch.removeChannelMember(resourcePath);
		}
		for (Channel ch: inputChannels.values()) {
			ch.removeChannelMember(resourcePath);
		}
	}

	public Collection<Channel> getChannels() {
		return channels.values();
	}
		
	public Channel getChannel(String channelName) {
		return channels.get(channelName);
	}
	
	public void setChannels(HashMap<String, Channel> channels) {
		this.channels = channels;
	}
	
	public void addChannel(Channel channel) {
		channels.put(channel.getChannelName(), channel);
	}
	
	public void removeChannel(String channelName) {
		channels.remove(channelName);
	}
	
	public Collection<Channel> getInputChannels() {
		return inputChannels.values();
	}
	
	public Channel getInputChannel(String channelName) {
		return inputChannels.get(channelName);
	}
	
	public void setInputChannels(HashMap<String, Channel> inputChannels) {
		this.inputChannels = inputChannels;
	}
	
	public void addInputChannel(Channel inputChannel) {
		inputChannels.put(inputChannel.getChannelName(), inputChannel);
	}
	
	public void removeInputChannel(String inputChannelName) {
		inputChannels.remove(inputChannelName);
	}
	
	public void addType(Type type) {
		types.put(type.getTypeName(), type);
	}
	
	public Type getType(String name) {
		return types.get(name);
	}
	
	public void addSymbol(Symbol symbol) {
		symbols.put(symbol.getName(), symbol);
	}
	
	public Symbol getSymbol(String name) {
		return symbols.get(name);
	}
	
	public static String getWrapperType(Type type) {
		if (type == typeInt) {
			return "Integer";
		} else if (type == typeLong) {
			return "Long";
		} else if (type == typeFloat) {
			return "Float";
		} else if (type == typeDouble) {
			return "Double";
		} else if (type == typeBoolean) {
			return "Boolean";
		}
		return null;
	}
	
	public boolean isPrimitiveType(Type type) {
		if (type == typeInt 
			|| type == typeLong
			|| type == typeFloat
			|| type == typeDouble
			|| type == typeBoolean) {
			return true;
		}
		return false;
	}

	public static boolean isListType(Type type) {
		return typeList.isAncestorOf(type);
	}

	public static String getDefaultValue(Type type) {
		if (type == typeInt) {
			return "0";
		} else if (type == typeLong) {
			return "0L";
		} else if (type == typeFloat) {
			return "0.0f";
		} else if (type == typeDouble) {
			return "0.0";
		} else if (type == typeBoolean) {
			return "false";
		} else if (type == typeString) {
			return "\"\"";
		}
		return "new " + type.getImplementationTypeName() + "()";
	}
	
	public static Expression getDefaultValueExpression(Type type) {
		if (type == typeInt) {
			return new Constant("0", typeInt);
		} else if (type == typeLong) {
			return new Constant("0L", typeLong);
		} else if (type == typeFloat) {
			return new Constant("0.0f", typeFloat);
		} else if (type == typeDouble) {
			return new Constant("0.0", typeDouble);
		} else if (type == typeBoolean) {
			return new Constant(false_);
		} else if (type == typeString) {
			return new Constant("", typeString);
		} else if (type.isAncestorOf(typeList)) {
			return new ListTerm();
		} else if (type.isAncestorOf(typeMap)) {
			return new MapTerm();
		} else if (type.isAncestorOf(typeJson)) {
			return new JsonTerm();
		}
		return null;
	}
	
	@Override
	public String toString() {
		String out = "";
		for (Channel channel: inputChannels.values()) {
			out += channel.toString();
		}
		for (Channel channel: channels.values()) {
			out += channel.toString();
		}
		return out;
	}
	
	public String getSourceText() {
		String out = "";
		String init = "";
		for (ResourceHierarchy resource: resourceHierarchies.values()) {
			String initializer = resource.getInitText();
			if (initializer != null) {
				init += resource.toString() + " := " + initializer + "\n";
			}
		}
		if (init.length() > 0) {
			out += "init {\n" + init + "}\n";
		}
		for (Channel channel: inputChannels.values()) {
			out += channel.getSourceText();
		}
		for (Channel channel: channels.values()) {
			out += channel.getSourceText();
		}
		return out;
	}
}