Ejemplo n.º 1
0
ExpressionNode Multiplication::simplify(ExpressionNode& left, ExpressionNode& right) const
{
	// unimplemented
	ExpressionNode newNode(&MULTIPLICATION);
	if (left.getType() == NUMBER && right.getType() == NUMBER)
	{
		return ExpressionNode(left.getValue() * right.getValue());
	}
	newNode.appendChild(left);
	newNode.appendChild(right);
	return newNode;
}
Ejemplo n.º 2
0
ExpressionNode::ExpressionNode(const ExpressionNode & other): //copy constructor
type(other.getType()), operation(other.getOperation()), activechildren(other.getOperation()->getArity()),
right(0), firstChild(0), variable(other.getVariable()), value(other.getValue())
{
	setRight(other.getRight());
	setFirstChild(other.getFirstChild()); // automatically also sets other children
}
Ejemplo n.º 3
0
void ExpressionNode::replace(const ExpressionNode &newNode)
{
	std::clog << "...<replacing> "  << *this << " with " << newNode << std::endl;
	
	//ExpressionNode *curOld;
	//ExpressionNode *curNew;
	
	setType(newNode.getType());
	setOperation(newNode.getOperation());
//	setRight(newNode.getRight());
	setFirstChild(newNode.getFirstChild()); // automatically also sets other children
	//curOld = firstChild;
	//curNew = newNode.getFirstChild();
	
	//while (curNew != 0)
	//{
		//curOld->setRight(curNew->getRight());
		//curOld = curOld->getRight();
		//curNew = curNew->getRight();
	//}
	setVariable(newNode.getVariable());
	setValue(newNode.getValue());
	
	std::clog << "...</replacing>" << std::endl;
}
Ejemplo n.º 4
0
bool ExpressionNode::operator== (const ExpressionNode& other) const
{
	ExpressionNode *selfptr;
	ExpressionNode *otherptr;
	
	if (getType() == other.getType() && 
		getOperation() == other.getOperation() && 
		getVariable() == other.getVariable() &&
		getValue() == other.getValue() )
	{
		selfptr = firstChild;
		otherptr = other.getFirstChild();
		while (selfptr != 0 && otherptr != 0)
		{
			if (*selfptr == *otherptr)
			{
				selfptr = selfptr->getRight();
				otherptr = otherptr->getRight();
			}
			else
			{
				return false;
			}
		}
		if (selfptr == 0 && otherptr == 0)
		{
			return true;
		}
		else
		{
			assert(selfptr != otherptr);
			return false;
		}
	}
	else
	{	
		return false;
	}
}
Ejemplo n.º 5
0
bool Multiplication::isCompatible(const ExpressionNode& left, const ExpressionNode& right)
{
	if (left.getType() == NUMBER && right.getType() == NUMBER)
	{
		return true;
	}
	else if (left.getType() == VARIABLE && right.getType() == VARIABLE)
	{
		if (left.getVariable() == right.getVariable())
		{
			return true;
		}
	}
	else if (left.getType() == OPERATION)
	{
		if (left.getOperation() == &ADDITION || left.getOperation() == &SUM)
		{
			return true;
		}
		else if (left.getOperation() == &MULTIPLICATION || left.getOperation() == &PRODUCT)
		{
			return true;
		}
	}
	else if (right.getType() == OPERATION)
	{
		if (right.getOperation() == &ADDITION || right.getOperation() == &SUM)
		{
			return true;
		}
		else if (right.getOperation() == &MULTIPLICATION || right.getOperation() == &PRODUCT)
		{
			return true;
		}
	}
	
	return false;
}
Ejemplo n.º 6
0
ExpressionNode Addition::simplify(ExpressionNode& left, ExpressionNode& right) const
{
	clog << "checkpoint addsimplify" << endl;
	
	//simplest case: at least one side is just 0
	if (left.getType() == NUMBER && left.getValue().getInt() == 0)
	{
		return right;
	}
	else if (right.getType() == NUMBER && right.getValue().getInt() == 0)
	{
		return left;
	}
	
	// for each left term: for each right term: try adding
	
	stack <ExpressionNode*> leftNodeStack;
	ExpressionNode * currentLeftNode = &left;
	bool leftFinished = false;
	stack <ExpressionNode*> rightNodeStack;
	vector <ExpressionNode*> rightDeleteList;
	ExpressionNode * currentRightNode = &right;
	bool rightFinished = false;
	ExpressionNode newNode(&ADDITION);
	
	while (leftFinished == false)
	{
		clog << "looping left" << endl;
		
		if (currentLeftNode->getType() == OPERATION && currentLeftNode->getOperation() == &ADDITION)
		{
			
			if (currentLeftNode->getFirstChild() == 0)
			{
				throw ExpressionNode::WrongArityError();
			}
			currentLeftNode = currentLeftNode->getFirstChild();
			leftNodeStack.push(currentLeftNode);
			continue;
		}
		
		// leaf term on left tree: traverse right tree
		rightFinished = false;
		currentRightNode = &right;
		while (rightFinished == false)
		{
			clog << "looping right" << endl;
			
			if (currentRightNode->getType() == OPERATION && currentRightNode->getOperation() == &ADDITION)
			{
				if (currentRightNode->getFirstChild() == 0)
				{
					throw ExpressionNode::WrongArityError();
				}
				currentRightNode = currentRightNode->getFirstChild();
				rightNodeStack.push(currentRightNode);
				continue;
			}
			assert(currentLeftNode != 0);
			assert(currentRightNode !=0);
			clog << "checkpoint addsimplify: before isAddable(" << *currentLeftNode << ", " << *currentRightNode << ")"<<  endl;
			// leaf terms on both sides: attempt adding
			if (isCompatible(*currentLeftNode, *currentRightNode))
			{
				clog << "checkpoint addsimplify: after isAddable; " << endl;
				clog << *currentLeftNode << " " << *currentRightNode << endl;
				(*currentLeftNode) = addTerms(*currentLeftNode, *currentRightNode);
				clog << "checkpoint addsimplify: after addTerms; " << endl;
				clog << "currentLeftNode: " << *currentLeftNode << " RightNode:" << *currentRightNode << endl;
				clog << "left " << left << "right " << right << endl;
				if (currentRightNode == &right)
				{
					//entire right tree has been assimilated
					return left;
				}
				// try marking for deletion after right loop instead of removing
				rightDeleteList.push_back(currentRightNode);
			}
			while (true)
			{
				clog << "rightNodeStack: " << rightNodeStack.size() << endl;
				if (rightNodeStack.size() != 0) clog << "rightNodeStack.top(): " << *(rightNodeStack.top()) << endl;
				if (rightNodeStack.size() == 0)
				{
					rightFinished = true;
					break;
				}
				currentRightNode = rightNodeStack.top();
				rightNodeStack.pop();
				if (currentRightNode->getRight() != 0)
				{
					currentRightNode = currentRightNode->getRight();
					rightNodeStack.push(currentRightNode);
					break;
				}
			}
		}
		// deleting marked rights
		for (vector<ExpressionNode*>::iterator it = rightDeleteList.begin(); it != rightDeleteList.end(); it++)
		{
			right.remove(*it);
		}
		rightDeleteList.clear();
		clog << "here left: " << left << "right: " << right <<endl;
		
		//clog << "leftNodeStack: " << leftNodeStack.size() << endl;
		//if (leftNodeStack.size() > 0)
		//{
			//clog << "leftNodeStack: " << *(leftNodeStack.top()) << endl;
		//}
		while (true)
		{
			if (leftNodeStack.size() == 0)
			{
				leftFinished = true;
				break;
			}
			currentLeftNode = leftNodeStack.top();
			leftNodeStack.pop();
			if (currentLeftNode->getRight() != 0)
			{
				currentLeftNode = currentLeftNode->getRight();
				leftNodeStack.push(currentLeftNode);
				break;
			}
		}
	}
	//still some terms left on right
	newNode.appendChild(left);
	newNode.appendChild(right);
	return newNode;
}
Ejemplo n.º 7
0
ExpressionNode Addition::addTerms(const ExpressionNode& term1, const ExpressionNode& term2) const
{
	clog << "checkpoint addTerms" << endl;
	
	Number coefficient1;
	Number coefficient2;
	const ExpressionNode * varpart1;
	const ExpressionNode * varpart2;
	ExpressionNode * left;
	ExpressionNode * right;
	ExpressionNode newRight;
	ExpressionNode newCoef;
	ExpressionNode newNode;
	
	if (term1.getType() == NUMBER)
	{
		coefficient1 = term1.getValue();
		varpart1 = 0;
	}
	else if (term1.getType() == OPERATION)
	{
		if (term1.getOperation() == &MULTIPLICATION)
		{
			left = term1.getFirstChild();
			right = left->getRight();
			if (left->getType() == NUMBER)
			{
				coefficient1 = left->getValue();
				varpart1 = right;
			}
			else if (right->getType() == NUMBER)
			{
				coefficient1 = right->getValue();
				varpart1 = left;
			}
			else
			{
				coefficient1 = MULTIPLICATION.getIdentity();
				varpart1 = &term1;
			}
		}
		else
		{
			coefficient1 = MULTIPLICATION.getIdentity();
			varpart1 = &term1;
		}
	}
	else // VARIABLE
	{
		assert(term1.getType() == VARIABLE);
		coefficient1 = MULTIPLICATION.getIdentity();
		varpart1 = &term1;
	}
	
	if (term2.getType() == NUMBER)
	{
		coefficient2 = term2.getValue();
		varpart2 = 0;
	}
	else if (term2.getType() == OPERATION)
	{
		if (term2.getOperation() == &MULTIPLICATION)
		{
			left = term2.getFirstChild();
			right = left->getRight();
			if (left->getType() == NUMBER)
			{
				coefficient2 = left->getValue();
				varpart2 = right;
			}
			else if (right->getType() == NUMBER)
			{
				coefficient2 = right->getValue();
				varpart2 = left;
			}
			else
			{
				coefficient2 = MULTIPLICATION.getIdentity();
				varpart2 = &term2;
			}
		}
		else
		{
			coefficient2 = MULTIPLICATION.getIdentity();
			varpart2 = &term2;
		}
	}
	else // VARIABLE
	{
		assert(term2.getType() == VARIABLE);
		coefficient2 = MULTIPLICATION.getIdentity();
		varpart2 = &term2;
	}
	
	if (varpart1 != 0 && varpart2 != 0)
	{
		if (*varpart1 == *varpart2)
		{
			clog << "addTerms simplify like terms" << endl
				<< "coef1: " << coefficient1 << " var1: " << *varpart1 << endl
				<< "coef2: " << coefficient2 << " var2: " << *varpart2 << endl;
			
			newCoef = ExpressionNode(coefficient1 + coefficient2);
			newRight = *varpart1;
			newNode = ExpressionNode(&MULTIPLICATION);
			newNode.appendChild(newCoef);
			newNode.appendChild(newRight);
			clog << "sum: " << newNode << endl;
			return newNode;
		}
		else
		{
			clog << "*varpart1: " << *varpart1 << " *varpart2: " << endl;
			throw ExpressionNode::GenericError("adding unaddable terms");
		}
	}
	else
	{
		if (varpart1 == 0 && varpart2 == 0)
		{
			clog << "sum: " << coefficient1 + coefficient2 << endl;
			return ExpressionNode(coefficient1 + coefficient2);
		}
		else
		{
			throw ExpressionNode::GenericError("adding unaddable terms");
		}
	}
	throw ExpressionNode::GenericError("reached end of addTerms w/o returning.");
	//if (left.getNodeType() == NUMBER && right.getNodeType() == NUMBER)
	//{
		//ExpressionNode newNode;
		//newNode.setNodeType(NUMBER);
		//newNode.setValue(Number(left.getValue().getInt() + right.getValue().getInt()));
		//return newNode;
	//}
}
Ejemplo n.º 8
0
bool Addition::isCompatible(const ExpressionNode& term1, const ExpressionNode& term2) const
{
	clog << "checkpoint isAddable(" << term1 << ", " << term2 << ")" << endl;
	
	const ExpressionNode * varpart1(0);
	const ExpressionNode * varpart2(0);
	const ExpressionNode * left;
	const ExpressionNode * right;

	if (term1.getType() == NUMBER)
	{
		varpart1 = 0;
	}
	else if (term1.getType() == OPERATION)
	{
		if (term1.getOperation() == &MULTIPLICATION)
		{
			left = term1.getFirstChild();
			right = left->getRight();
			if (left->getType() == NUMBER)
			{
				varpart1 = right;
			}
			else if (right->getType() == NUMBER)
			{
				varpart1 = left;
			}
			else
			{
				varpart1 = &term1;
			}
		}
		else
		{
			varpart1 = &term1;
		}
	}
	else // VARIABLE
	{
		assert(term1.getType() == VARIABLE);
		varpart1 = &term1;
	}
	
	if (term2.getType() == NUMBER)
	{
		varpart2 = 0;
	}
	else if (term2.getType() == OPERATION)
	{
		if (term2.getOperation() == &MULTIPLICATION)
		{
			left = term2.getFirstChild();
			right = left->getRight();
			if (left->getType() == NUMBER)
			{
				varpart2 = right;
			}
			else if (right->getType() == NUMBER)
			{
				varpart2 = left;
			}
			else
			{
				varpart2 = &term2;
			}
		}
		else
		{
			varpart2 = &term2;
		}
	}
	else // VARIABLE
	{
		assert(term2.getType() == VARIABLE);
		varpart2 = &term2;
	}
	
	if (varpart1 != 0 && varpart2 != 0)
	{
		if (*varpart1 == *varpart2)
		{
			return true;
		}
		else
		{
			return false;
		}
	}
	else
	{
		if (varpart1 == 0 && varpart2 == 0)
		{
			// both numbers
			return true;
		}
		else
		{
			return false;
		}
	}
}
Ejemplo n.º 9
0
ExpressionNode Addition::simplify(ExpressionNode& left, ExpressionNode& right)
{
	std::clog << "checkpoint addsimplify" << std::endl;
	
	//simplest case: at least one side is just 0
	if (left.getType() == NUMBER && left.getValue().getInt() == 0)
	{
		return right;
	}
	else if (right.getType() == NUMBER && right.getValue().getInt() == 0)
	{
		return left;
	}
	
	// for each left term: for each right term: try adding
	
	std::stack <ExpressionNode*> leftNodeStack;
	ExpressionNode * currentLeftNode = &left;
	bool leftFinished = false;
	std::stack <ExpressionNode*> rightNodeStack;
	ExpressionNode * currentRightNode = &right;
	bool rightFinished = false;
	ExpressionNode * tempNodePtr;
	ExpressionNode newNode;
	
	while (leftFinished == false)
	{
		std::clog << "looping left" << std::endl;
		
		if (currentLeftNode->getType() == OPERATION && currentLeftNode->getOperation() == &ADDITION)
		{
			
			if (currentLeftNode->getFirstChild() == 0)
			{
				throw ExpressionNode::WrongArityError();
			}
			currentLeftNode = currentLeftNode->getFirstChild();
			leftNodeStack.push(currentLeftNode);
			continue;
		}
		
		// leaf term on left tree: traverse right tree
		while (rightFinished == false)
		{
			std::clog << "looping right" << std::endl;
			
			if (currentRightNode->getType() == OPERATION && currentRightNode->getOperation() == &ADDITION)
			{
				if (currentRightNode->getFirstChild() == 0)
				{
					throw ExpressionNode::WrongArityError();
				}
				currentRightNode = currentRightNode->getFirstChild();
				rightNodeStack.push(currentRightNode);
				continue;
			}
			
			std::clog << "checkpoint addsimplify: before isAddable; " << std::endl;
			// leaf terms on both sides: attempt adding
			if (isAddable(*currentLeftNode, *currentRightNode))
			{
				std::clog << "checkpoint addsimplify: after isAddable; " << std::endl;
				std::clog << *currentLeftNode << " " << *currentRightNode << std::endl;
				std::clog << "add testrun: " << addTerms(*currentLeftNode, *currentRightNode);
				(*currentLeftNode).replace( addTerms(*currentLeftNode, *currentRightNode) );
				std::clog << "checkpoint addsimplify: after addTerms; " << std::endl;
				if (currentRightNode == &right)
				{
					//entire right tree has been assimilated
					return left;
				}
				tempNodePtr = currentRightNode;
				currentRightNode = right.findParentOf(*currentRightNode);
				right.remove(*tempNodePtr);
			} 
			while (true)
			{
				if (rightNodeStack.size() == 0)
				{
					rightFinished = true;
					break;
				}
				currentRightNode = rightNodeStack.top();
				rightNodeStack.pop();
				if (currentRightNode->getRight() != 0)
				{
					currentRightNode = currentRightNode->getRight();
					rightNodeStack.push(currentRightNode);
					break;
				}
			}
		}
		while (true)
		{
			if (leftNodeStack.size() == 0)
			{
				leftFinished = true;
				break;
			}
			currentLeftNode = leftNodeStack.top();
			leftNodeStack.pop();
			if (currentLeftNode->getRight() != 0)
			{
				currentLeftNode = currentLeftNode->getRight();
				leftNodeStack.push(currentLeftNode);
				break;
			}
		}
	}
	//still some terms left on right
	left.setRight(&right);
	newNode.init(&ADDITION, &left);
	return newNode;
}