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; }
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 }
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; }
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; } }
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; }
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; //} }
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; }