package jrummikub.ai.fdsolver;

import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.Map;
import java.util.Set;
import static jrummikub.ai.fdsolver.Satisfiability.*;

/**
 * The Solver class is the Main Constraint Propagator (MCP) that tries to find a
 * labeling of all variables that satisfies all given constraints.
 */
public class Solver {
	Set<Var<?>> vars = new HashSet<Var<?>>();

	Set<Var<?>> dirtyVars = new HashSet<Var<?>>();

	Set<Var<?>> unsolvedVars = new HashSet<Var<?>>();

	Set<Constraint> constraints = new HashSet<Constraint>();

	ArrayList<StackFrame> stack = new ArrayList<StackFrame>();

	boolean contradiction = false;

	static private class StackFrame {
		Map<Var<?>, HashSet<?>> invalidatedValues = new HashMap<Var<?>, HashSet<?>>();
		Var<?> branchVar;
		Object branchValue;
		HashSet<Constraint> finishedConstraints = new HashSet<Constraint>();

		public <T> void invalidate(Var<T> var, T invalid) {
			HashSet<T> values = (HashSet<T>) invalidatedValues.get(var);
			if (values == null) {
				invalidatedValues.put(var,
						new HashSet<T>(Arrays.asList(invalid)));
			} else {
				values.add(invalid);
			}
		}

		@Override
		public String toString() {
			return "StackItem [invalidatedValues=" + invalidatedValues + "]";
		}
	}

	public Solver() {
		stack.add(new StackFrame());
	}

	private boolean isSolved() {
		return dirtyVars.isEmpty() && unsolvedVars.isEmpty();
	}

	public boolean solve() {
		do {
			solveStep();
		} while (!(contradiction || isSolved()));
		return !contradiction;
	}

	public void solveStep() {
		if (isSolved()) {
			contradiction = true;
		} else {
			propagateAll();
		}
		if (contradiction) {
			if (stack.size() == 1) {
				return;
			}
			backtrack();
		} else if (unsolvedVars.isEmpty()) {
			return;
		} else {
			branch();
		}
	}

	public void propagateOnce() {
		Var<?> dirtyVar = Collections.min(dirtyVars);
		dirtyVars.remove(dirtyVar);
		outerLoop: for (Iterator<Constraint> i = dirtyVar.getConstraints()
				.iterator(); i.hasNext();) {
			Constraint constraint = i.next();
			Satisfiability sat = constraint.getSatisfiability();
			if (sat == UNSAT) {
				contradiction = true;
				break;
			}
			if (sat == TAUT) {
				i.remove();
				finishedConstraint(constraint, dirtyVar);
				continue;
			}
			for (Propagator propagator : constraint.getPropagators(false)) {
				if (propagator.getWatchedVars().contains(dirtyVar)) {
					propagator.propagate();
					if (contradiction) {
						break outerLoop;
					}
				}
			}
		}
	}

	public void propagateAll() {
		while (!(dirtyVars.isEmpty() || contradiction)) {
			propagateOnce();
		}
	}

	public void addVar(Var<?> var) {
		vars.add(var);
		if (var.getRange().size() != 1) {
			unsolvedVars.add(var);
		}
	}

	public void addConstraint(Constraint constraint) {
		constraints.add(constraint);

		for (Var<?> var : constraint.getWatchedVars()) {
			var.makeDirty();
			var.getConstraints().add(constraint);
		}
	}

	// backtracking and logging

	void branch() {
		branchOn(Collections.min(unsolvedVars));
	}

	@SuppressWarnings("unchecked")
	void branchOn(Var<?> var) {

		Set<?> range = var.getRange();
		int n = (int) (Math.random() * range.size());
		Iterator<?> it = range.iterator();
		for (int i = 0; i < n; i++) {
			it.next();
		}
		Object value = it.next();
		branchWith((Var<Object>) var, value);
	}

	<T> void branchWith(Var<T> var, T value) {
		StackFrame stackFrame = new StackFrame();
		stackFrame.branchVar = var;
		stackFrame.branchValue = value;
		stack.add(stackFrame);
		var.choose(value);
	}

	private StackFrame getTopStackFrame() {
		return stack.get(stack.size() - 1);
	}

	<T> void logInvalidation(Var<T> var, T invalid) {
		getTopStackFrame().invalidate(var, invalid);
		if (var.getRange().size() == 1) {
			unsolvedVars.remove(var);
		}
	}

	private void finishedConstraint(Constraint constraint, Var<?> currentVar) {
		for (Var<?> var : constraint.getWatchedVars()) {
			if (var != currentVar) {
				var.getConstraints().remove(constraint);
			}
		}
		constraints.remove(constraint);
		getTopStackFrame().finishedConstraints.add(constraint);
	}

	@SuppressWarnings("unchecked")
	// This would need rank-2 types which java lacks
	private void rollback(StackFrame item) {
		for (Map.Entry<Var<?>, HashSet<?>> entry : item.invalidatedValues
				.entrySet()) {
			Var<Object> var = (Var<Object>) entry.getKey();
			HashSet<Object> values = (HashSet<Object>) entry.getValue();
			var.getRange().addAll(values);
			if (var.getRange().size() != 1) {
				unsolvedVars.add(var);
			} else {
				unsolvedVars.remove(var);
			}
			var.makeDirty(); // TODO think a bit more about this
		}
		for (Constraint constraint : item.finishedConstraints) {
			for (Var<?> var : constraint.getWatchedVars()) {
				var.getConstraints().add(constraint);
			}
			constraints.add(constraint);
		}
	}

	@SuppressWarnings("unchecked")
	void backtrack() {
		contradiction = false;
		StackFrame topFrame = getTopStackFrame();
		rollback(topFrame);
		stack.remove(stack.size() - 1);
		((Var<Object>) topFrame.branchVar).invalidate(topFrame.branchValue);
	}

	// factory methods for vars

	public Var<Integer> makeRangeVar(int low, int high) {
		ArrayList<Integer> range = new ArrayList<Integer>();
		for (int i = low; i <= high; i++) {
			range.add(i);
		}
		return makeVar(range);
	}

	public Var<Boolean> makeBoolVar() {
		return makeVar(true, false);
	}

	public <T> Var<T> makeVar(Collection<T> range) {
		Var<T> var = new Var<T>(this, range);
		addVar(var);
		return var;
	}

	public <T> Var<T> makeVar(T... range) {
		return makeVar(Arrays.asList(range));
	}

	public void record() {
		for (Var<?> var : vars) {
			var.record();
		}
	}

	public void restore() {
		for (Var<?> var : vars) {
			var.restore();
		}
	}

}