void doAssign(ListIterator &i, ExprNode *&node)
{
ExprNode *left, *right;
string eq;
ListIterator temp = i;
node = new Variable(i.token().tokenChar());
if(!i.ended())
i.advance();
if(!i.ended())
eq = i.token().tokenChar();
if(eq == "=" && !i.ended())
{
while(eq == "=" && !i.ended())
{
if(!i.ended())
i.advance();
if(!i.ended())
doSum(i, right);
node = new Operation(node, eq, right);
if(!i.ended())
eq = i.token().tokenChar();
else
eq = "Done";
}
}
else if(!i.ended() && (i.token().tokenChar() != "("))
i = temp;
else if(!i.ended() && (i.token().tokenChar() == "("))
{
i = temp;
doCall(i, node);
}
}
// getValue
// Gets the value of the number/expression at the current position
// If the current value is an integer, return it
// If it's a parenthetical expression, evaluate, and return
// evalMultiplication is a flag used to ensure multiplication happens before addition
// If true, it will handle any multiplication that is applied to the current value
// That way, what is returned to the addition function is what we actually want to add
// Parameters:
// iter - the iterator for the list of tokens
// postExpr - the postfix expression we are converting to
// evalMultiplication (input boolean) whether to evaluate multiplication, see above
// Pre-condition: expr[pos] is an int or parenthesis
// Post-condition: expr[pos] is the end of the value
// If it was an int, it's on the int
// If it was a parenthesis, it's on the end parenthesis
// If handling multiplication, it's on the last multiplied int
// postExpr has the values handled here pushed to it
void getValue(ListIterator& iter, TokenList& postExpr, bool evalMultiplication)
{
bool negative = false;
if (!iter.currentIsInteger() && iter.tokenChar() == '-')
{
negative = true;
iter.advance();
}
if (iter.currentIsInteger())
{
postExpr.push_back(iter.integerValue());
if (negative)
{
postExpr.push_back(Token('~'));
}
while (evalMultiplication && isNextOperatorMultiplication(iter))
{
iter.advance();
handleMultiplyLevelOperation(iter, postExpr);
}
}
else
{
handleParenthesis(iter, postExpr);
if (negative)
{
postExpr.push_back(Token('~'));
}
}
}
//This function takes in the iterator, and rewrite both sides of the sum expression in postFix
//Pre- The position is at a symbol +,-,*,/,%
//Post- It will change postFix and the iterator
void addOp(ListIterator &iter, TokenList &postFix)
{
int pos;
Token saveToken;
bool solved = false;
while(solved == false)
{
if (iter.tokenChar() == '*' || iter.tokenChar() == '/' || iter.tokenChar() == '%')
{
//This means that a product operation was encountered immediately so the prgoram can finish the expression and return without
multOp(iter, postFix);
}
else if (iter.tokenChar() == '+' || iter.tokenChar() == '-')
{
//We advance to save the next number and then again to check the next character
saveToken = iter.token();
iter.advance();
getValue(iter, postFix);
iter.advance();
if (iter.tokenChar() == '*' || iter.tokenChar() == '/' || iter.tokenChar() == '%')
{
//If a product expression is found it will calculate the entirety of that
multOp(iter, postFix);
}
postFix.push_back(saveToken);
}
else
{
solved = true;
}
}
}
void doCompare(ListIterator &i, ExprNode *&test)
{
ExprNode *trueCase, *falseCase, *right;
string comp;
doSum(i, test);
if(!i.ended())
{
if(i.token().tokenChar() == ")")
i.advance();
}
if(!i.ended() && i.token().isOperator())
{
comp = i.token().tokenChar();
i.advance();
doSum(i, right);
test = new Operation(test, comp, right);
}
if(!i.ended() && (i.token().tokenChar() == "?" || i.token().isOperator()))
{
i.advance();
doSum(i, trueCase);
}
if(!i.ended() && (i.token().isOperator() || i.token().tokenChar() == ":"))
{
i.advance();
doSum(i, falseCase);
test = new Conditional(test, trueCase, falseCase);
}
}
const List<Object>& List<Object>::operator =( const List<Object>& rhs ) {
if (this != &rhs) {
makeEmpty();
ListIterator<Object> rightiter = rhs.first( );
ListIterator<Object> myiterator = zeroth();
while( rightiter.isValid() ) {
insert( rightiter.retrieve(), myiterator );
rightiter.advance();
myiterator.advance();
}
}
return( *this );
}
void doSum(ListIterator &i, TokenList *pf)
{
char oper; // For holding the operator
doProduct(i, pf); // Sum = product + product
if(!i.ended())
oper = i.token().tokenChar(); // Grab an operator, only if current != NULL
while(((oper == '+') || (oper == '-')) && !i.ended() )
{
i.advance(); // Move to next token, an int or a '('
doProduct(i, pf);
Token t(oper);
pf->push_back(t); // Add the operator the the expression
if(!i.ended())
oper = i.token().tokenChar(); // Grab the next operator
}
}
//The function takes in an iterator and TokenList and will rewrite numbers at the iterator's
//Pre- The position is located at a number or a parethesis
//Post- It will write to the postFix TokenList and update the iterator
void getValue(ListIterator &iter, TokenList &postFix)
{
//If parethesis are found this else if will rewrite the parenthesis in postFix
if (iter.tokenChar() == '(')
{
iter.advance();
getValue(iter, postFix);
iter.advance();
assignOp(iter, postFix);
}
//If the current position is an integer
else
{
postFix.push_back(iter.token());
}
}
void doCall(ListIterator &i, ExprNode *&node)
{
string name;
ExprNode *parameters[10];
int p = 0;
if(!i.ended())
name = i.token().tokenChar();
i.advance();
if(!i.ended())
doCompare(i, node);
parameters[p] = node;
p++;
if(!i.ended()){
while(!i.ended() && i.token().tokenChar() != ")")
{
if(!i.ended())
doCompare(i, node);
parameters[p] = node;
p++;
}
}
for(; p < 10; p++)
parameters[p] = NULL;
node = new Function(name, parameters);
}
//This function takes in the iterator, and the TokeList, and will rewrite any product expressions
//Pre- The position will be on a operation symbol that is either *, /, %
//Post- It will rewrite the infix to postFix product expression
void multOp(ListIterator &iter, TokenList &postFix)
{
Token saveToken;
//This loop will run indefinately and rewrite to postFix until the product expression ends
while (iter.tokenChar() == '*' || iter.tokenChar() == '/' || iter.tokenChar() == '%')
{
saveToken = iter.token();
iter.advance();
getValue(iter, postFix);
iter.advance();
postFix.push_back(saveToken);
}
}
// output operation
// Display all of the tokens in the list
ostream& operator<<( ostream &stream, TokenList &t )
{
for (ListIterator iter = t.begin(); iter != t.end(); iter.advance())
{
stream << iter.token() << " ";
}
return stream;
}
void makeFunction(ListIterator& infix, TokenList& list, FunctionDef& funs)
{
infix.advance(); //advance past deffn
string name = tokenText(infix, list);
funs[name] = FunDef();
FunDef* function = &funs[name]; //to avoid multiple lookups in this function body
function->name = name;
infix.advance(); //advance past function name
infix.advance(); //advance past '('
function->locals = new VarTree();
int paramcount = 0;
while (tokenText(infix, list) != ")")
{
string paramname = tokenText(infix, list);
function->parameter[paramcount] = paramname;
function->locals->assign(paramname, 0);
++paramcount;
infix.advance();
if (tokenText(infix, list) == ",")
infix.advance();
} //we are now on a ")"
infix.advance(); //so advance past ")"
for (int i = paramcount; i < 10; ++i)
function->parameter[i] = "";
function->functionBody = assignmentToTree(infix,list,funs);
#ifdef DEBUG
cout << "Function:" << endl;
cout << " Name: " << function->name << endl;
for (int i = 0; i < 10 && function->parameter[i] != ""; ++i)
cout << " Parameter " << i << ": " << function->parameter[i] << endl;
cout << " VarTree: " << function->locals << endl;
cout << " VarTree: " << *function->locals << endl;
cout << " ExprNode: " << function->functionBody << endl;
cout << " ExprNode: " << *function->functionBody << endl;
#endif
}
// handleMultiplyLevelOperation
// Handles *, /, and %
// Parameters:
// iter - the iterator for the list of tokens
// postExpr - the postfix expression we are converting to
// Pre-condition: iter.tokenChar() == '*' or '/' or '%'
// Post-condition: iter.tokenChar() == end of what was multiplied (last int/parenthesis)
// postExpr has both operands and the operator pushed to it
void handleMultiplyLevelOperation(ListIterator& iter, TokenList& postExpr)
{
Token operation(iter.token());
iter.advance();
getValue(iter, postExpr, false); //Do not handle multiplication (see getValue())
postExpr.push_back(operation);
}
// handleMultiplyLevelOperation
// Handles + and -
// Parameters:
// iter - the iterator for the list of tokens
// postExpr - the postfix expression we are converting to
// Pre-condition: iter.tokenChar() == '+' or '-'
// Post-condition: iter.tokenChar() == end of what was added (last int/parenthesis)
// postExpr has both operands and the operator pushed to it
void handleAdditionLevelOperation(ListIterator& iter, TokenList& postExpr)
{
Token operation(iter.token());
iter.advance();
getValue(iter, postExpr, true); //Do evaluate multiplication (see getValue())
postExpr.push_back(operation);
}
void doFactor(ListIterator &i, TokenList *pf) // Grabs a factor; evaluates if needed; return
{
int left;
// factor = int || factor = (int + int)
if(i.token().tokenChar() == '(')
{
i.advance();
doSum(i, pf);
}
else
{
left = i.token().integerValue(); // grab the factor
Token t(left);
pf->push_back(t); // add it to the list
}
if(!i.ended())
i.advance();
}
// handleParenthesis
// Helper function to handle evaluating parenthesis
// Parameters:
// iter - the iterator for the list of tokens
// postExpr - the postfix expression we are converting to
// Pre-condition: iter.tokenChar() == '('
// Post-condition: iter.tokenChar() == ')'
// postExpr has everything inside the parenthesis pushed to it
void handleParenthesis(ListIterator& iter, TokenList& postExpr)
{
iter.advance();
getValue(iter, postExpr, false);
while (iter.tokenChar() != ')')
{
evalStep(iter, postExpr);
}
}
void printList( const List<int>& l ) {
if (l.isEmpty())
cout << "Empty list" << endl;
else {
ListIterator<int> iter = l.first();
while (iter.isValid()) {
cout << iter.retrieve() << " -> ";
iter.advance();
}
cout << "NULL";
cout << endl;
}
}
void doFactor(ListIterator &i, ExprNode *&node)
{
ExprNode *left;
if(i.token().tokenChar() == "(")
{
i.advance();
doSum(i, node);
}
else
{
if(i.token().isInteger())
{
node = new Value(i.token().integerValue());
}
else if(!i.token().isOperator())
doAssign(i, node);
else
doCompare(i, node);
}
if(!i.ended())
i.advance();
}
// evalStep
// Evaluates the current operator
// Parameters:
// iter - the iterator for the list of tokens
// postExpr - the postfix expression we are converting to
// Pre-condition: Next token is an operator (although, it will just advance if it isn't)
// Post-condition: All values related to this operation pushed to postExpr in the order dictated by postfix
// Iter is on the last token evaluated in this step (so iter.advance() next time will
// bring it to the next thing to be evaluated)
void evalStep(ListIterator& iter, TokenList& postExpr)
{
iter.advance();
switch (iter.tokenChar())
{
case '*':
case '/':
case '%':
handleMultiplyLevelOperation(iter, postExpr);
break;
case '+':
case '-':
handleAdditionLevelOperation(iter, postExpr);
break;
}
}
// isNextOperatorMultiplication
// Checks if the next operation in the expression has multiplication precedence
// This is used to ensure multiplication is handled before addition
// Parameters:
// iter - the iterator for the list of tokens - not sent by reference, as in the other
// functions, so that we can look ahead without having to go back again.
// Pre-condition: Next token is an operator (although, if it's not, I suppose the next operation isn't
// technically multiplication)
// Return: whether the next operation is multiplication
bool isNextOperatorMultiplication(ListIterator iter)
{
bool isMultiplication;
iter.advance();
switch (iter.tokenChar())
{
case '*':
case '/':
case '%':
isMultiplication = true;
break;
default:
isMultiplication = false;
break;
}
return isMultiplication;
}
void doProduct(ListIterator & i, ExprNode *&node)
{
ExprNode *left, *right;
string oper;
doFactor(i, node);
if(!i.ended())
oper = i.token().tokenChar();
while(oper == "*" || oper == "/" || oper == "%")
{
i.advance();
doFactor(i, right);
node = new Operation(node, oper, right);
if(!i.ended())
oper = i.token().tokenChar();
else
oper = "Done";
}
}
void doDefine(ListIterator &i, FunctionDef &fmap)
{
string n;
string parameters[10];
ExprNode *body;
int p = 0;
i.advance(); // i is now on the function name
if(!i.ended())
n = i.token().tokenChar();
i.advance(); // i is now on open paren of parameters
i.advance(); // i is now on the first parameter
if(!i.ended())
parameters[p] = i.token().tokenChar();
p++;
i.advance(); // i is now on comma separating parameters or close paren
while(i.token().tokenChar() == "," && !i.ended())
{
i.advance(); // i is now on next parameter
if(!i.ended())
parameters[p] = i.token().tokenChar();
p++;
i.advance(); // i is on new comma or close paren
}
i.advance(); // i is now on "="
i.advance();
if(!i.ended())
doCompare(i, body);
fmap[n].name = n;
for(int i = 0; i < p; i++)
{
fmap[n].parameter[i] = parameters[i];
}
fmap[n].functionBody = body;
fmap[n].locals = new VarTree();
cout << *fmap[n].functionBody << endl;
}
void doProduct(ListIterator &i, TokenList *pf) // Works exactly the same way as doSum(), except
{ // here, left and right are factors
int left, right;
char oper;
doFactor(i, pf); // product = factor * factor
if(!i.ended())
oper = i.token().tokenChar();
while(((oper == '*') || (oper == '/') || (oper =='%')) && !i.ended())
{
i.advance();
doFactor(i, pf);
Token t(oper);
pf->push_back(t);
if(!i.ended())
oper = i.token().tokenChar();
}
}
//This function will solve a postFix notation TokenList.
//Pre- This function takes in an iterator for a postFix TokenList and a TokenList in postFix notation.
//Post- It will return the result of the entire postFix notation.
int evalPost(ListIterator &iter, TokenList &postFix, VarTree &vt)
{
Token v1, v2;
int value = 0, n1, n2;
bool solved = false, solvedI = false;
char saveChar;
//Making the stack
TokenList toSolve;
//Runs until the equation is determined to be solved.
while (solved == false)
{
//Will add all the consecutive integers onto the stack
while (iter.tokenChar() != '=' && iter.tokenChar() != '+' && iter.tokenChar() != '-' && iter.tokenChar() != '*' && iter.tokenChar() != '/' && iter.tokenChar() != '%')
{
//Actually pushing onto the stack
toSolve.push_front(iter.token());
iter.advance();
}
//Getting 2 numbers from the stack
v2 = toSolve.pop_front();
v1 = toSolve.pop_front();
//If it a normal integer
if(v2.isInteger())
{
n2 = v2.integerValue();
}
//If it is a variable find it
else
{
n2 = vt.lookup(v2.tokenText());
}
//If it a normal integer
if(v1.isInteger())
{
n1 = v1.integerValue();
}
//If it is a variable find it
else
{
n1 = vt.lookup(v1.tokenText());
}
//Grabbing the character operation from the originol TokenList
saveChar = iter.tokenChar();
iter.advance();
if(saveChar == '+')
{
value = n1 + n2;
}
else if(saveChar == '-')
{
value = n1 - n2;
}
else if(saveChar == '*')
{
value = n1 * n2;
}
else if(saveChar == '/')
{
value = n1 / n2;
}
else if(saveChar == '%')
{
value = n1 % n2;
}
else if(saveChar == '=')
{
vt.assign(v1.tokenText(), n2);
value = n2;
}
//Checks if the equation is done
if(toSolve.empty() && !(iter != postFix.end()))
{
solved = true;
}
//If the equation is not done you push the current result and loop
else
{
toSolve.push_front(Token(value));
}
}
return value;
}
int evaluate(const char str[])
{
TokenList l(str); // Declare and construct our linked list
TokenList *pf = new TokenList; // List for postfix expression
static int ans = 0; // For handling previous answers
ListIterator i = l.begin();
if((!i.token().isInteger()) && (i.token().tokenChar() != '('))
{ // Complicated condition: evaluates as true if l.head is an operator
// but not a parenthesis.
// In this case, we want to push the previous answer to the front
Token newHead(ans);
l.push_front(newHead);
i = l.begin();
}
doSum(i, pf); // Here begins the Conversion
cout << l << endl;
cout << *pf << endl;
TokenList *stack = new TokenList; // Stack for holding operators
ListIterator eval = pf->begin(); // Iterator to parse postfix expression
Token left, right; // Containers
while(!eval.ended())
{
if(eval.token().isInteger()) // While there are integers, push them onto the stack
stack->push_front(eval.token());
else
{
right = stack->pop(); // grab the operands in order
left = stack->pop();
switch(eval.token().tokenChar()) // Evaluate each piece of postfix
{
case '+':
left = (left.integerValue() + right.integerValue());
break;
case '-':
left = (left.integerValue() - right.integerValue());
break;
case '*':
left = (left.integerValue() * right.integerValue());
break;
case '/':
left = (left.integerValue() / right.integerValue());
break;
case '%':
left = (left.integerValue() % right.integerValue());
break;
}
stack->push_front(left);
}
eval.advance();
}
ans = left.integerValue();
return ans;
}
// evaluate
// Evaluates the entire expression
// Parameters:
// expression (input string) the expression to evaluate
// Pre-condition: The expression is correctly formatted
// Return: Value of the expression
int evaluate(const char expression[])
{
TokenList expr(expression), //Original expression
postExpr, //Expression converted to postfix
numberStack; //Stack of numbers to facilitate evaluation
//Converts expr into postfix and store it into postExpr
convertToPostfix(expr, postExpr);
std::cout << "Original expression: " << expr << std::endl;
std::cout << "Converted postfix expression: " << postExpr << std::endl;
for (ListIterator iter = postExpr.begin(); iter != postExpr.end(); iter.advance())
{
Token t = iter.token();
if (t.isInteger())
{
numberStack.push_front(t);
}
else
{
//This is the huge bit that handles operators
//val2 is created but uninitialized to handle binary operators and
//unary operators ('~') easily in the same switch
int value = numberStack.pop_front().integerValue();
int val2 = 0;
switch (t.tokenChar())
{
case '*':
val2 = numberStack.pop_front().integerValue();
val2 *= value;
numberStack.push_front(Token(val2));
break;
case '/':
val2 = numberStack.pop_front().integerValue();
val2 /= value;
numberStack.push_front(Token(val2));
break;
case '%':
val2 = numberStack.pop_front().integerValue();
val2 %= value;
numberStack.push_front(Token(val2));
break;
case '+':
val2 = numberStack.pop_front().integerValue();
val2 += value;
numberStack.push_front(Token(val2));
break;
case '-':
val2 = numberStack.pop_front().integerValue();
val2 -= value;
numberStack.push_front(Token(val2));
break;
case '~':
value = -value;
numberStack.push_front(Token(value));
break;
}
}
}
//Value left on the top of the number stack is the final value of the expression
return numberStack.pop_front().integerValue();
}
