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Evaluator.cpp
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Evaluator.cpp
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//
// Created by Kalyan Khandrika on 3/21/17.
//
#include <iostream>
#include "Evaluator.h"
#define CTRUE SExpression::symbolicAtom("T")
#define CFALSE SExpression::symbolicAtom("NIL")
/**
* Evaluates the condition SExpression and returns the evaluated SExp
* @param be
* @param Alist
* @param Dlist
* @return
*/
SExpression * Evaluator::evCon(SExpression * be, SExpression * Alist, SExpression * Dlist){
if(null(be) == CTRUE){
throw std::runtime_error(">Error in evcon:: Condition cannot be nil");
return NULL;//error
}
else if(eval(car(car(be)),Alist,&Dlist) != SExpression::symbolicAtom("NIL")){
int conditionLength = lengthOfList(car(be));
if(conditionLength != 2)
throw std::runtime_error(">Error in evcon::Invalid number of arguments in Evcon");
SExpression * cadarBE = car(cdr(car(be)));
return eval(cadarBE,Alist,&Dlist);
} else{
return evCon(cdr(be),Alist,Dlist);
}
}
/**
* Evaluates the arguments in a list
* @param list
* @param Alist
* @param Dlist
* @return
*/
SExpression * Evaluator::evLis(SExpression * list, SExpression * Alist, SExpression * Dlist){
if(null(list) == CTRUE){
return SExpression::symbolicAtom("NIL");
}
else{
return cons(eval(car(list),Alist,&Dlist),evLis(cdr(list),Alist,Dlist));
}
}
/*
* apply[ f, x, aList, dList] =
[ atom[f] --> [ eq[f, CAR] --> caar[x]; // why?
| eq[f, CDR] --> cdar[x];
| eq[f, CONS] --> cons[car[x], cdr[x]]; //??
| eq[f, ATOM] --> atom[car[x]];
| eq[f, NULL] --> null[car[x]];
| eq[f, EQ] --> eq[car[x], cadr[x]];
| eq[f, GREATER] --> greater[car[x], cadr[x]];
| eq[f, LESS] --> less[car[x], cadr[x]];
| eq[f, PLUS] --> plus[car[x], cadr[x]];
| eq[f, MINUS] --> minus[car[x], cadr[x]];
| eq[f, TIMES] --> times[car[x], cadr[x]];
| eq[f, QUOTIENT] --> quotient[car[x], cadr[x]];
| eq[f, REMINDER] --> reminder[car[x], cadr[x]];
| T --> eval[ cdr[getval[f, dList]],
addpairs[car[getval[f, dList]], x, aList],
dList ] ; ];
| T --> "error!"; ]
Elements on dList of form: (f . (pList . body) )
addpairs[pList,x,aList]: returns new a-list
*/
SExpression * Evaluator::apply(SExpression * function,SExpression * arguments, SExpression * Alist, SExpression * Dlist){
SExpression * returnVal = NULL;
if(function->getType() != NONATOM) {
if (eq(function, SExpression::symbolicAtom("CAR")) == CTRUE) {
assertNumberOfArguments(function,arguments,1);
returnVal = car(car(arguments));
} else if (eq(function, SExpression::symbolicAtom("CDR")) == CTRUE) {
assertNumberOfArguments(function,arguments,1);
returnVal = cdr(car(arguments));
} else if (eq(function, SExpression::symbolicAtom("CONS")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = cons(car(arguments),car(cdr(arguments))); //???
} else if (eq(function, SExpression::symbolicAtom("NULL")) == CTRUE) {
assertNumberOfArguments(function,arguments,1);
returnVal = null(car(arguments));
} else if (eq(function, SExpression::symbolicAtom("EQ")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = eq(car(arguments),car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("ATOM")) == CTRUE) {
assertNumberOfArguments(function,arguments,1);
returnVal = atom(car(arguments));
} else if (eq(function, SExpression::symbolicAtom("INT")) == CTRUE) {
assertNumberOfArguments(function,arguments,1);
returnVal = isInt(car(arguments));
} else if (eq(function, SExpression::symbolicAtom("GREATER")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = greater(car(arguments),car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("LESS")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = less(car(arguments),car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("PLUS")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = plus(car(arguments),car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("MINUS")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = minus(car(arguments),car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("TIMES")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = times(car(arguments), car(cdr(arguments)));
} else if (eq(function, SExpression::symbolicAtom("QUOTIENT")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = quotient(car(arguments), car(cdr(arguments)));
}else if (eq(function, SExpression::symbolicAtom("REMINDER")) == CTRUE) {
assertNumberOfArguments(function,arguments,2);
returnVal = reminder(car(arguments), car(cdr(arguments)));
}else{
returnVal = eval(cdr(getValFromDlist(function,Dlist)),addPairsToAList(car(getValFromDlist(function,Dlist)),arguments,Alist),&Dlist);
}
}
else{
throw std::runtime_error(">Error:: Invalid: Non atom in car of apply");
return NULL;
}
if(returnVal == NULL){
throw std::runtime_error(">Error:: Enexpected error");
}
return returnVal;
}
/*
* eval[ exp, aList, dList] =
[ atom[exp] --> [ int[exp] --> exp
| eq[exp,T] --> T
| eq[exp,NIL] --> NIL
| in[exp,aList] --> getVal[exp,aList]
| T --> "unbound variable!" ]
| atom[car[exp]] -->
[ eq[car[exp],QUOTE] --> cadr[exp]
| eq[car[exp],COND] --> evcon[cdr[exp], aList, dList]
| eq[car[exp],DEFUN] --> "add to dList (state change!)"
| T --> apply[car[exp], evlis[cdr[exp],aList,dList],
aList, dList] ]
| T --> "error!" ]
*/
SExpression * Evaluator::eval(SExpression * exp, SExpression * Alist, SExpression ** Dlist){
if(exp->getType() != NONATOM){
if(isInt(exp) == CTRUE) return exp;
else if(exp == CTRUE) return SExpression::symbolicAtom("T");
else if (null(exp) == CTRUE) return SExpression::symbolicAtom("NIL");
else if(isInAlist(exp,Alist)) return getValFromAlist(exp,Alist);
else{
throw std::runtime_error(">Error:: Unbound variable:"+exp->getName());
return NULL;
}
}
else if (car(exp)->getType() != NONATOM){
if(eq(car(exp),SExpression::symbolicAtom("QUOTE")) == CTRUE){
assertNumberOfArguments(car(exp),cdr(exp),1);
return car(cdr(exp));
}
else if(eq(car(exp),SExpression::symbolicAtom("COND")) == CTRUE){
return evCon(cdr(exp),Alist,*Dlist);
}
else if(eq(car(exp),SExpression::symbolicAtom("DEFUN")) == CTRUE){
SExpression * newDlist = addFunctionToDlist(cdr(exp),*Dlist);
*Dlist = newDlist;
return SExpression::symbolicAtom(car(cdr(exp))->getName());
//"add to dList
}
else{
return apply(car(exp),evLis(cdr(exp),Alist,*Dlist),Alist,*Dlist);
}
}
else{
throw std::runtime_error(">Error:: Unexpected expression in eval");
return NULL;
}
throw std::runtime_error(">Error:: Unexpected expression in eval");
return NULL;
}
/**
* CAR
* @param SExpression
* @return SExpression
*/
SExpression * Evaluator::car(SExpression * expression){
if(expression->getType()== NONATOM)
return expression->getLeft();
else
throw std::runtime_error(">Error:: primitive CAR function called on atomic s-expression");
return NULL;
}
/**
* CDR
* @param SExpression
* @return SExpression
*/
SExpression * Evaluator::cdr(SExpression * expression){
if(expression->getType()== NONATOM)
return expression->getRight();
else
throw std::runtime_error(">Error:: primitive CDR function called on atomic s-expression");
return NULL;
}
/**
* CONS constructs a non atomic Sexp with the two arguments
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::cons(SExpression * expression1,SExpression * expression2 ){
SExpression * newExpression = new SExpression(NONATOM);
newExpression->setLeft(expression1);
newExpression->setRight(expression2);
return newExpression;
}
/**
* checks if both the sexpressions are equal if they are symbolic
* If int, it checks for equal value
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::eq(SExpression * expression1,SExpression * expression2 ){
SExpression * returnExp = NULL;
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
returnExp = (expression1->getVal() == expression2->getVal())? SExpression::symbolicAtom("T") : SExpression::symbolicAtom("NIL");
}
else if(expression1->getType() == SYMBOLICATOM && expression2->getType() == SYMBOLICATOM){
bool a = expression1->getName() == expression2->getName();
SExpression * b = SExpression::symbolicAtom("T");
SExpression * c = SExpression::symbolicAtom("NIL");
returnExp = a? b :c;
string ee = returnExp->getName();
}
else
throw std::runtime_error(">Error:: primitive EQ function called on non-atomic s-expressions / invalid s-expressions");
return returnExp;
}
/**
* checks if the sExp is null
* @param SExpression
* @return SExpression
*/
SExpression * Evaluator::null(SExpression * expression){
return (expression == SExpression::symbolicAtom("NIL"))? SExpression::symbolicAtom("T"):SExpression::symbolicAtom("NIL");
}
/**
* checks if the Sexp is int
* @param SExpression
* @return SExpression
*/
SExpression * Evaluator::isInt(SExpression * expression){
return expression->getType() == INTEGERATOM? SExpression::symbolicAtom("T"):SExpression::symbolicAtom("NIL");
}
/**
* returns the sum of the values in the two sexpressions
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::plus(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
SExpression * newExp = new SExpression(INTEGERATOM);
newExp->setVal(expression1->getVal()+expression2->getVal());
//delete expression1, expression2;
return newExp;
}
throw std::runtime_error(">Error:: Types mismatch in primitive function PLUS. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the difference of the values in the two sexpressions as another int SExpression
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::minus(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
SExpression * newExp = new SExpression(INTEGERATOM);
newExp->setVal(expression1->getVal()-expression2->getVal());
//delete expression1, expression2;
return newExp;
}
throw std::runtime_error(">Error:: Types mismatch in primitive function PLUS. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the product of the values in the two sexpressions as another int SExpression
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::times(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
SExpression * newExp = new SExpression(INTEGERATOM);
newExp->setVal(expression1->getVal() * expression2->getVal());
//delete expression1, expression2;
return newExp;
}
throw std::runtime_error(">Error:: Types mismatch in primitive function TIMES. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the quotient when one expression is divided by the second and returns as another int SExpression
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::quotient(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
SExpression * newExp = new SExpression(INTEGERATOM);
if(expression2->getVal()==0)
std::runtime_error(">Error:: Division by 0 is not defined");
newExp->setVal(expression1->getVal()/expression2->getVal());
//delete expression1, expression2;
return newExp;
}
throw std::runtime_error(">Error:: Types mismatch in primitive function QUOTIENT. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the reminder when one expression is divided by the second and returns as another int SExpression
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::reminder(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
SExpression * newExp = new SExpression(INTEGERATOM);
if(expression2->getVal()==0)
std::runtime_error(">Error:: Division by 0 is not defined");
newExp->setVal(expression1->getVal() % expression2->getVal());
//delete expression1, expression2;
return newExp;
}
throw std::runtime_error(">Error:: Types mismatch in primitive function REMAINDER. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the T symbolic atom is the first SEXP is less than the second
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::less(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
return expression1->getVal()<expression2->getVal()? SExpression::symbolicAtom("T"):SExpression::symbolicAtom("NIL");
}
throw std::runtime_error(">Error:: Types mismatch in primitive function LESS. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the T symbolic atom is the first SExp is greater than the second
* @param SExpression, SExpession
* @return SExpression
*/
SExpression * Evaluator::greater(SExpression * expression1,SExpression * expression2 ){
if(expression1->getType() == INTEGERATOM && expression2->getType() == INTEGERATOM){
return expression1->getVal()>expression2->getVal()? SExpression::symbolicAtom("T"):SExpression::symbolicAtom("NIL");
}
throw std::runtime_error(">Error:: Types mismatch in primitive function GREATER. Called on non-atomic s-expressions / invalid s-expressions");
}
/**
* returns the T symbolic atom is the the expression is atom
* @param SExpression
* @return SExpression
*/
SExpression * Evaluator::atom(SExpression * expression){
return expression->getType()!=NONATOM? CTRUE: CFALSE;
}
/**
* returns boolean true is the the expression is symbolic atom T
* @param SExpression
* @return bool
*/
bool Evaluator::isTrue(SExpression * exp){
return exp==SExpression::symbolicAtom("T");
}
/**
* returns true if the symbolic atom is in the Alist
* @param symbolicAtomExp
* @param aList
* @return bool
*/
bool Evaluator::isInAlist(SExpression * symbolicAtomExp,SExpression * aList){
if(symbolicAtomExp->getType() != SYMBOLICATOM) return false;
if(aList == CFALSE) return false;
if(symbolicAtomExp == car(car(aList))) return true;
else return isInAlist(symbolicAtomExp,cdr(aList));
}
/**
* returns the value of the symbolic atom is in the Alist
* @param symbolicAtomExp
* @param aList
* @return SExpression
*/
SExpression* Evaluator::getValFromAlist(SExpression * symbolicAtomExp,SExpression * aList){
//if(symbolicAtomExp->getType() != SYMBOLICATOM) return false;
if(symbolicAtomExp == car(car(aList))) return cdr(car(aList));
else return getValFromAlist(symbolicAtomExp,cdr(aList));
}
/**
* Associates the current arguments with the parameters and returns the pointer to the updated Alist
* @param parameters
* @param arguments
* @param initialAList
* @return
*/
SExpression* Evaluator::addPairsToAList(SExpression * parameters, SExpression * arguments, SExpression * initialAList){
if(null(parameters) == CTRUE && null(arguments) == CTRUE) return initialAList;
else if(null(parameters) != CTRUE && null(arguments) != CTRUE) {
SExpression * newpair = cons(car(parameters),car(arguments));
return cons(newpair,addPairsToAList(cdr(parameters),cdr(arguments),initialAList));
}
else{
throw std::runtime_error(">Error:: Mismatch in the number of arguments and parameters");
}
}
/**
* Adds the function to the Dlist and returns the updated Dlist
* @param function
* @param initialDlist
* @return
*/
SExpression * Evaluator::addFunctionToDlist(SExpression * function, SExpression * initialDlist){
SExpression * paramsAndBody = cons(car(cdr(function)), car(cdr(cdr(function))));
bool isParamsAList = isList(car(cdr(function)));
if(isParamsAList == false)
throw std::runtime_error(">Error:: Improper function definition:"+ car(function)->getName());
if(cdr(cdr(cdr(function))) != CFALSE)
throw std::runtime_error(">Error:: Improper function definition:"+ car(function)->getName());
SExpression * functionExp = cons(car(function),paramsAndBody);
SExpression * newDlist = cons(functionExp,initialDlist);
return newDlist;
}
/**
* Returns the function node from the Dlist
* @param functionName
* @param dlist
* @return
*/
SExpression * Evaluator::getValFromDlist(SExpression* functionName, SExpression * dlist){
if(isTrue(null(dlist)))
throw std::runtime_error(">Error:: undeclared function:"+ functionName->getName());
if(car(car(dlist)) == functionName){
return cdr(car(dlist));
} else{
return getValFromDlist(functionName,cdr(dlist));
}
}
/**
* Checks if the number of arguments passed are same as the expected number
* @param funcName
* @param arguments
* @param numExpectedArguments
*/
void Evaluator::assertNumberOfArguments(SExpression* funcName,SExpression* arguments, int numExpectedArguments){
int actualLengthOfArguments = lengthOfList(arguments);
if( actualLengthOfArguments != numExpectedArguments)
throw std::runtime_error(">Error:: Expected number of arguments:"+to_string(numExpectedArguments) + " and received:"+to_string(actualLengthOfArguments)+" for the primitive function:"+funcName->getName());
}
/**
* Returns the length of a list given a SExpression to a list
* @param list
* @return
*/
int Evaluator::lengthOfList(SExpression * list){
if(list == CFALSE)
return 0;
else return 1+lengthOfList(cdr(list));
}
bool Evaluator::isList(SExpression * exp){
if(exp == CFALSE)
return true;
else if(exp->getType() == NONATOM)
return isList(exp->getRight());
else
return false;
}