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package hu.bme.mit.inf.dslreasoner.viatra2logic;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Set;
import org.eclipse.xtext.common.types.JvmIdentifiableElement;
import org.eclipse.xtext.xbase.XBinaryOperation;
import org.eclipse.xtext.xbase.XExpression;
import org.eclipse.xtext.xbase.XFeatureCall;
import org.eclipse.xtext.xbase.XNumberLiteral;
import com.microsoft.z3.ArithExpr;
import com.microsoft.z3.BoolExpr;
import com.microsoft.z3.Context;
import com.microsoft.z3.Expr;
import com.microsoft.z3.IntExpr;
import com.microsoft.z3.Solver;
import com.microsoft.z3.Status;
import hu.bme.mit.inf.dslreasoner.viatrasolver.partialinterpretationlanguage.partialinterpretation.IntegerElement;
import hu.bme.mit.inf.dslreasoner.viatrasolver.partialinterpretationlanguage.partialinterpretation.PrimitiveElement;
public class NumericProblemSolver {
private static final String N_Base = "org.eclipse.xtext.xbase.lib.";
private static final String N_PLUS = "operator_plus";
private static final String N_MINUS = "operator_minus";
private static final String N_POWER = "operator_power";
private static final String N_MULTIPLY = "operator_multiply";
private static final String N_DIVIDE = "operator_divide";
private static final String N_MODULO = "operator_modulo";
private static final String N_LESSTHAN = "operator_lessThan";
private static final String N_LESSEQUALSTHAN = "operator_lessEqualsThan";
private static final String N_GREATERTHAN = "operator_greaterThan";
private static final String N_GREATEREQUALTHAN = "operator_greaterEqualsThan";
private static final String N_EQUALS = "operator_equals";
private static final String N_NOTEQUALS = "operator_notEquals";
private static final String N_EQUALS3 = "operator_tripleEquals";
private static final String N_NOTEQUALS3 = "operator_tripleNotEquals";
private Context ctx;
private Solver s;
private Map<XExpression, Map<Object, Expr>> bindings;
public NumericProblemSolver() {
HashMap<String, String> cfg = new HashMap<String, String>();
cfg.put("model", "true");
ctx = new Context(cfg);
s = ctx.mkSolver();
bindings = new HashMap<XExpression, Map<Object, Expr>>();
}
public Context getNumericProblemContext() {
return ctx;
}
// TODO: Remove this after integration
public void test(XExpression expression) throws Exception {
Map<XExpression, Set<Map<JvmIdentifiableElement,PrimitiveElement>>> matches = new HashMap<XExpression, Set<Map<JvmIdentifiableElement,PrimitiveElement>>>();
matches.put(expression, null);
isSatisfiable(matches);
}
public boolean isSatisfiable(Map<XExpression, Set<Map<JvmIdentifiableElement,PrimitiveElement>>> matches) throws Exception {
boolean sat = false;
BoolExpr problemInstance = formNumericProblemInstance(matches);
s.add(problemInstance);
if (s.check() == Status.SATISFIABLE) {
sat = true;
} else {
sat = false;
}
return sat;
}
public Map<Object,Integer> getOneSolution(List<Object> objs, Map<XExpression, Set<Map<JvmIdentifiableElement,PrimitiveElement>>> matches) throws Exception {
Map<Object,Integer> sol = new HashMap<Object, Integer>();
BoolExpr problemInstance = formNumericProblemInstance(matches);
s.add(problemInstance);
if (s.check() == Status.SATISFIABLE) {
//TODO: Form the solution here
}
return sol;
}
private BoolExpr formNumericConstraint(XExpression e, Map<JvmIdentifiableElement, PrimitiveElement> aMatch, Map<Object, Expr> varMap) throws Exception {
if (!(e instanceof XBinaryOperation)) {
throw new Exception ("error in check expression!!!");
}
String name = ((XBinaryOperation) e).getFeature().getQualifiedName();
BoolExpr constraint = null;
ArithExpr left_operand = formNumericConstraintHelper(((XBinaryOperation) e).getLeftOperand(), aMatch, varMap);
ArithExpr right_operand = formNumericConstraintHelper(((XBinaryOperation) e).getRightOperand(), aMatch, varMap);
if (nameEndsWith(name, N_LESSTHAN)) {
constraint = ctx.mkLt(left_operand, right_operand);
} else if (nameEndsWith(name, N_LESSEQUALSTHAN)) {
constraint = ctx.mkLe(left_operand, right_operand);
} else if (nameEndsWith(name, N_GREATERTHAN)) {
constraint = ctx.mkGt(left_operand, right_operand);
} else if (nameEndsWith(name, N_GREATEREQUALTHAN)) {
constraint = ctx.mkGe(left_operand, right_operand);
} else if (nameEndsWith(name, N_EQUALS)) {
constraint = ctx.mkEq(left_operand, right_operand);
} else if (nameEndsWith(name, N_NOTEQUALS)) {
constraint = ctx.mkDistinct(left_operand, right_operand);
} else if (nameEndsWith(name, N_EQUALS3)) {
constraint = ctx.mkGe(left_operand, right_operand); // ???
} else if (nameEndsWith(name, N_NOTEQUALS3)) {
constraint = ctx.mkGe(left_operand, right_operand); // ???
} else {
throw new Exception ("Unsupported binary operation " + name);
}
return constraint;
}
// TODO: add variable: state of the solver
private ArithExpr formNumericConstraintHelper(XExpression e, Map<JvmIdentifiableElement, PrimitiveElement> aMatch, Map<Object, Expr> varMap) throws Exception {
ArithExpr expr = null;
// Variables
if (e instanceof XFeatureCall) {
PrimitiveElement matchedObj = aMatch.get(((XFeatureCall) e).getFeature());
if (!matchedObj.isValueSet()) {
if (varMap.get(matchedObj) == null) {
String var_name = ((XFeatureCall) e).getFeature().getQualifiedName() + matchedObj.toString();
expr = (ArithExpr) ctx.mkConst(ctx.mkSymbol(var_name), ctx.getIntSort());
varMap.put(matchedObj, expr);
} else {
expr = (ArithExpr) varMap.get(matchedObj);
}
} else {
int value = ((IntegerElement) matchedObj).getValue();
expr = (ArithExpr) ctx.mkInt(value);
varMap.put(matchedObj, expr);
}
}
// Constants
else if (e instanceof XNumberLiteral) {
String value = ((XNumberLiteral) e).getValue();
try{ int val = Integer.parseInt(value); expr = (ArithExpr) ctx.mkInt(val);} catch(NumberFormatException err){}
}
// Expressions with operators
else if (e instanceof XBinaryOperation) {
String name = ((XBinaryOperation) e).getFeature().getQualifiedName();
ArithExpr left_operand = formNumericConstraintHelper(((XBinaryOperation) e).getLeftOperand(), aMatch, varMap);
ArithExpr right_operand = formNumericConstraintHelper(((XBinaryOperation) e).getRightOperand(), aMatch, varMap);
if (nameEndsWith(name, N_PLUS)) {
expr = ctx.mkAdd(left_operand, right_operand);
} else if (nameEndsWith(name, N_MINUS)) {
expr = ctx.mkAdd(left_operand, ctx.mkUnaryMinus(right_operand));
} else if (nameEndsWith(name, N_POWER)) {
expr = ctx.mkPower(left_operand, right_operand);
} else if (nameEndsWith(name, N_MULTIPLY)) {
expr = ctx.mkMul(left_operand, right_operand);
} else if (nameEndsWith(name, N_DIVIDE)) {
expr = ctx.mkDiv(left_operand, right_operand);
} else if (nameEndsWith(name, N_MODULO)) {
expr = ctx.mkMod((IntExpr)left_operand, (IntExpr)right_operand);
} else {
throw new Exception ("Unsupported binary operation " + name);
}
} else {
throw new Exception ("Unsupported expression " + e.getClass().getSimpleName());
}
return expr;
}
private boolean nameEndsWith(String name, String end) {
return name.startsWith(N_Base) && name.endsWith(end);
}
private BoolExpr formNumericProblemInstance(Map<XExpression, Set<Map<JvmIdentifiableElement,PrimitiveElement>>> matches) throws Exception {
BoolExpr constraintInstances = ctx.mkTrue();
for (XExpression e: matches.keySet()) {
Set<Map<JvmIdentifiableElement, PrimitiveElement>> matchSets = matches.get(e);
Map<Object, Expr> varMap = bindings.get(e);
if (varMap == null) {
varMap = new HashMap<Object, Expr>();
bindings.put(e, varMap);
}
for (Map<JvmIdentifiableElement, PrimitiveElement> aMatch: matchSets) {
BoolExpr constraintInstance = formNumericConstraint(e, aMatch, varMap);
constraintInstances = ctx.mkAnd(constraintInstances, constraintInstance);
}
}
return constraintInstances;
}
}
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