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Expression.cpp
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#include "Expression.hpp"
#include "Function.hpp"
#include "Polynomial.hpp"
string Expression::validChars = " +-*/%^;,.[]()";
string Expression::operators = "+-*/%^(),";
const char *Expression::InvalidCharException::what() const throw()
{
return (Computer::init().getSyntaxErrorFlag() +
"Invalid character in expression:\n" +
highlightError(this->_expr, 1, this->_pos))
.c_str();
}
Expression::InvalidExpression::InvalidExpression(int type, int tIdx, vector<string> const &tokens, int var1, int var2)
{
if (tIdx < 0 || tIdx >= (int)tokens.size())
{
this->_message = "Cannot Evaluate Expression";
this->_type = 1;
return;
}
string message;
string underline;
if (type == 0)
{
message = Computer::init().getSemanticErrorFlag();
message += "Operator " + tokens[tIdx] + " requires two operands.\n";
this->_type = 1;
}
else if (type == 1)
{
message = Computer::init().getSemanticErrorFlag();
message += "Cannot perform operation " + tokens[tIdx] + " between operands of type: " + Computer::init().getType(var1) + " and type " + Computer::init().getType(var2) + ".\n";
this->_type = 0;
}
else if (type == 2)
{
message = Computer::init().getSemanticErrorFlag();
message += "Function " + tokens[tIdx] + " requires " + to_string(var1) + " arguments, only " + to_string(var2) + " were provided.\n";
this->_type = 1;
}
else if (type == 3)
{
message = Computer::init().getSemanticErrorFlag();
message += "Could not evaluate expression\n";
this->_type = 1;
}
else if (type == 4)
{
message = Computer::init().getSemanticErrorFlag();
message += "Cannot perform operation " + tokens[tIdx] + " because right hand side is not valid.\n";
this->_type = 1;
}
else if (type == 5)
{
message = Computer::init().getSemanticErrorFlag();
message += "Function " + tokens[tIdx] + " requires argument of Type Rational.\n";
this->_type = 0;
}
else if (type == 6)
{
message = Computer::init().getSemanticErrorFlag();
message += "Function " + tokens[tIdx] + " requires argument of Type Number.\n";
this->_type = 0;
}
else if (type == 7)
{
message = Computer::init().getSemanticErrorFlag();
message += "Cannot perform operation " + tokens[tIdx] + "\n";
this->_type = 1;
}
for (int idx = 0; idx < (int)tokens.size(); idx++)
{
if (idx != 0)
{
message += " ";
underline += " ";
}
for (char c : tokens[idx])
{
message += c;
if (idx == tIdx)
underline += "$^$";
else
underline += " ";
}
}
if (type == 3)
this->_message = message;
else
this->_message = message + "\n" + underline;
}
const char *Expression::InvalidExpression::what() const throw()
{
return (this->_message).c_str();
}
const char *Expression::BadTokenException::what() const throw()
{
return (Computer::init().getSyntaxErrorFlag() +
"Bad token : " + this->_token)
.c_str();
}
const char *Expression::BadParenthesisException::what() const throw()
{
return "Mismatched Parenthesis";
}
const char *Expression::BadBracketException::what() const throw()
{
return (Computer::init().getSyntaxErrorFlag() + "Mismatched Brackets").c_str();
}
Expression::Expression()
{
}
Expression::Expression(vector<Symbol *> const &symbols)
{
this->_symbols = symbols;
this->toRPN();
}
Expression::Expression(string const &expr, vector<string> vars)
{
this->placeHolders = vars;
vector<string> tokens;
string tmp;
for (int idx = 0; idx < (int)expr.length(); idx++)
if (!isWhiteSpace(expr[idx]) && !validChar(expr[idx]))
throw InvalidCharException(expr, idx);
int idx1 = 0;
while (idx1 < (int)expr.length())
{
if (isWhiteSpace(expr[idx1]))
{
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
idx1++;
}
else if (isOperator(expr[idx1]))
{
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
tmp += expr[idx1];
tokens.push_back(tmp);
tmp.clear();
idx1++;
}
else if (expr[idx1] == '[')
{
int cnt = 1;
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
tmp += expr[idx1];
idx1++;
while (idx1 < (int)expr.length() && cnt != 0)
{
tmp += expr[idx1];
if (expr[idx1] == ']')
cnt--;
if (expr[idx1] == '[')
cnt++;
idx1++;
}
if (cnt != 0)
throw BadBracketException();
tokens.push_back(tmp);
tmp.clear();
}
else
{
tmp += expr[idx1];
idx1++;
}
}
if (tmp.length())
tokens.push_back(tmp);
vector<string> tmp2;
for (int idx = 0; idx < (int)tokens.size(); idx++)
{
vector<string> blocks = breakDown(tokens[idx]);
for (int idx2 = 0; idx2 < (int)blocks.size(); idx2++)
tmp2.push_back(blocks[idx2]);
}
tokens = tmp2;
this->_tokens = tokens;
for (int idx = 0; idx < (int)tokens.size(); idx++)
{
try
{
Symbol *sym = tokenToSymbol(tokens[idx]);
sym->setTokenIndex(idx);
this->_symbols.push_back(sym);
}
catch (BadTokenException &e)
{
throw e;
}
}
vector<Symbol *> finalSymbols;
int idx = 0;
while (idx < (int)this->_symbols.size() - 1)
{
if (this->_symbols[idx]->getName()[0] == '*' && this->_symbols[idx + 1]->getName()[0] == '*')
{
finalSymbols.push_back(new Symbol(OPERATOR, 2, "**"));
idx += 2;
}
else if (this->_symbols[idx]->getType() == VALUE && this->_symbols[idx + 1]->getType() > 1)
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (this->_symbols[idx]->getType() >0 && this->_symbols[idx + 1]->getType() == OPERATOR && this->_symbols[idx + 1]->getName()[0] == '(')
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (this->_symbols[idx]->getType() == OPERATOR && this->_symbols[idx]->getName()[0] == ')' &&
this->_symbols[idx + 1]->getType() == OPERATOR && this->_symbols[idx + 1]->getName()[0] == '(')
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (idx == 0 && this->_symbols[idx]->getName()[0] == '-')
{
finalSymbols.push_back(new Rational("0"));
finalSymbols.push_back(this->_symbols[idx]);
idx++;
}
else if (idx != 0 && this->_symbols[idx]->getName()[0] == '-' && this->_symbols[idx - 1]->getType() == 0 && this->_symbols[idx - 1]->getName()[0] != '-')
{
finalSymbols.push_back(new Rational("0"));
finalSymbols.push_back(this->_symbols[idx]);
idx++;
}
else
{
finalSymbols.push_back(this->_symbols[idx]);
idx++;
}
}
if (idx < (int)this->_symbols.size())
finalSymbols.push_back(this->_symbols[idx]);
this->_symbols = finalSymbols;
idx = 0;
try
{
this->toRPN();
}
catch (Expression::BadParenthesisException &e)
{
throw e;
}
}
Expression::Expression(string const &expr)
{
vector<string> tokens;
string tmp;
for (int idx = 0; idx < (int)expr.length(); idx++)
if (!isWhiteSpace(expr[idx]) && !validChar(expr[idx]))
throw InvalidCharException(expr, idx);
int idx1 = 0;
while (idx1 < (int)expr.length())
{
if (isWhiteSpace(expr[idx1]))
{
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
idx1++;
}
else if (isOperator(expr[idx1]))
{
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
tmp += expr[idx1];
tokens.push_back(tmp);
tmp.clear();
idx1++;
}
else if (expr[idx1] == '[')
{
int cnt = 1;
if (tmp.length())
tokens.push_back(tmp);
tmp.clear();
tmp += expr[idx1];
idx1++;
while (idx1 < (int)expr.length() && cnt != 0)
{
tmp += expr[idx1];
if (expr[idx1] == ']')
cnt--;
if (expr[idx1] == '[')
cnt++;
idx1++;
}
if (cnt != 0)
throw BadBracketException();
tokens.push_back(tmp);
tmp.clear();
}
else
{
tmp += expr[idx1];
idx1++;
}
}
if (tmp.length())
tokens.push_back(tmp);
vector<string> tmp2;
for (int idx = 0; idx < (int)tokens.size(); idx++)
{
vector<string> blocks = breakDown(tokens[idx]);
for (int idx2 = 0; idx2 < (int)blocks.size(); idx2++)
tmp2.push_back(blocks[idx2]);
}
tokens = tmp2;
this->_tokens = tokens;
for (int idx = 0; idx < (int)tokens.size(); idx++)
{
try
{
Symbol *sym = tokenToSymbol(tokens[idx]);
sym->setTokenIndex(idx);
this->_symbols.push_back(sym);
}
catch (BadTokenException &e)
{
throw e;
}
}
vector<Symbol *> finalSymbols;
int idx = 0;
while (idx < (int)this->_symbols.size() - 1)
{
if (this->_symbols[idx]->getName()[0] == '*' && this->_symbols[idx + 1]->getName()[0] == '*')
{
finalSymbols.push_back(new Symbol(OPERATOR, 2, "**"));
idx += 2;
}
else if (this->_symbols[idx]->getType() == VALUE && this->_symbols[idx + 1]->getType() > 1)
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (this->_symbols[idx]->getType() == VALUE && this->_symbols[idx + 1]->getType() == OPERATOR && this->_symbols[idx + 1]->getName()[0] == '(')
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (this->_symbols[idx]->getType() == OPERATOR && this->_symbols[idx]->getName()[0] == ')' &&
this->_symbols[idx + 1]->getType() == OPERATOR && this->_symbols[idx + 1]->getName()[0] == '(')
{
finalSymbols.push_back(this->_symbols[idx]);
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (idx == 0 && this->_symbols[idx]->getName()[0] == '-' && this->_symbols[idx+1]->getType() > 0)
{
finalSymbols.push_back(new Rational("-1"));
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else if (idx != 0 && this->_symbols[idx]->getName()[0] == '-' && this->_symbols[idx - 1]->getType() == 0 && (this->_symbols[idx - 1]->getName()[0] != ')'))
{
finalSymbols.push_back(new Rational("-1"));
finalSymbols.push_back(new Symbol(OPERATOR, 2, "*"));
idx++;
}
else
{
finalSymbols.push_back(this->_symbols[idx]);
idx++;
}
}
if (idx < (int)this->_symbols.size())
finalSymbols.push_back(this->_symbols[idx]);
this->_symbols = finalSymbols;
idx = 0;
try
{
this->toRPN();
}
catch (Expression::BadParenthesisException &e)
{
throw e;
}
}
Symbol *symbolAdd(Symbol *a, Symbol *b)
{
Rational *rationala = dynamic_cast<Rational *>(a);
Rational *rationalb = dynamic_cast<Rational *>(b);
Complex *compa = dynamic_cast<Complex *>(a);
Complex *compb = dynamic_cast<Complex *>(b);
Matrix *mata = dynamic_cast<Matrix *>(a);
Matrix *matb = dynamic_cast<Matrix *>(b);
Polynomial *pa = dynamic_cast<Polynomial *>(a);
Polynomial *pb = dynamic_cast<Polynomial *>(b);
if (rationala != NULL)
{
if (rationalb != NULL)
return (Symbol *)(new Rational(*rationala + *rationalb));
else if (compb != NULL)
return (Symbol *)new Complex(*rationala + *compb);
else if (pb != NULL)
return (Symbol *)new Polynomial(Polynomial(*rationala) + *pb);
}
else if (compa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Complex(*compa + *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*compa + *compb);
else if (pb != NULL)
return (Symbol *)new Polynomial(Polynomial(*compa) + *pb);
}
else if (mata != NULL)
return (Symbol *)new Matrix(*mata + *matb);
else if (pa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Polynomial(Polynomial(*rationalb) + *pa);
else if (compb != NULL)
return (Symbol *)new Polynomial(Polynomial(*compb) + *pa);
else if (pb != NULL)
return (Symbol *)new Polynomial(*pb + *pa);
}
return NULL;
}
Symbol *symbolSubtract(Symbol *a, Symbol *b)
{
Rational *rationala = dynamic_cast<Rational *>(a);
Rational *rationalb = dynamic_cast<Rational *>(b);
Complex *compa = dynamic_cast<Complex *>(a);
Complex *compb = dynamic_cast<Complex *>(b);
Matrix *mata = dynamic_cast<Matrix *>(a);
Matrix *matb = dynamic_cast<Matrix *>(b);
Polynomial *pa = dynamic_cast<Polynomial *>(a);
Polynomial *pb = dynamic_cast<Polynomial *>(b);
if (rationala != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Rational(*rationala - *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*rationala - *compb);
else if (pb != NULL)
return (Symbol *)new Polynomial(Polynomial(*rationala) - *pb);
}
else if (compa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Complex(*compa - *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*compa - *compb);
else if (pb != NULL)
return (Symbol *)new Polynomial(Polynomial(*compa) - *pb);
}
else if (pa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Polynomial(*pa - Polynomial(*rationalb));
else if (compb != NULL)
return (Symbol *)new Polynomial(*pa - Polynomial(*compb));
else if (pb != NULL)
return (Symbol *)new Polynomial(*pa - *pb);
}
else
return (Symbol *)new Matrix(*mata - *matb);
return NULL;
}
Symbol *symbolMultiply(Symbol *a, Symbol *b)
{
Rational *rationala = dynamic_cast<Rational *>(a);
Rational *rationalb = dynamic_cast<Rational *>(b);
Complex *compa = dynamic_cast<Complex *>(a);
Complex *compb = dynamic_cast<Complex *>(b);
Matrix *mata = dynamic_cast<Matrix *>(a);
Matrix *matb = dynamic_cast<Matrix *>(b);
Polynomial *pa = dynamic_cast<Polynomial *>(a);
Polynomial *pb = dynamic_cast<Polynomial *>(b);
if (rationala != NULL)
{
if (rationalb != NULL)
{
return (Symbol *)new Rational(*rationala * *rationalb);
}
else if (compb != NULL)
return (Symbol *)new Complex(*rationala * *compb);
else if (matb != NULL)
return (Symbol *)new Matrix(*rationala * *matb);
else if (pb != NULL)
return (Symbol *)new Polynomial(Polynomial(*rationala) * *pb);
}
else if (compa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Complex(*compa * *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*compa * *compb);
else if (pb != NULL)
return (Symbol *)new Polynomial(*pb * *pa);
}
else if (mata != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Matrix(*rationalb * *mata);
else if (matb != NULL)
return (Symbol *)new Matrix(*mata * *matb);
}
else if (pa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Polynomial(*pa * Polynomial(*rationalb));
else if (compb != NULL)
return (Symbol *)new Polynomial(*pa * Polynomial(*compb));
else if (pb != NULL)
return (Symbol *)new Polynomial(*pa * *pb);
}
return NULL;
}
Symbol *symbolDivide(Symbol *a, Symbol *b)
{
Rational *rationala = dynamic_cast<Rational *>(a);
Rational *rationalb = dynamic_cast<Rational *>(b);
Complex *compa = dynamic_cast<Complex *>(a);
Complex *compb = dynamic_cast<Complex *>(b);
Polynomial *pa = dynamic_cast<Polynomial *>(a);
if (rationala != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Rational(*rationala / *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*rationala / *compb);
}
else if (compa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Complex(*compa / *rationalb);
else if (compb != NULL)
return (Symbol *)new Complex(*compa / *compb);
}
else if (pa != NULL)
{
if (rationalb != NULL)
return (Symbol *)new Polynomial(*pa * (Rational("1") / *rationalb));
else if (compb != NULL)
return (Symbol *)new Polynomial(*pa * (Complex(Rational("1"), Rational("1")) / *compb));
}
return NULL;
}
Symbol *symbolModulo(Symbol *a, Symbol *b)
{
Rational *rationala = dynamic_cast<Rational *>(a);
Rational *rationalb = dynamic_cast<Rational *>(b);
if (rationala != NULL && rationalb != NULL)
return (Symbol *)new Rational(*rationala % *rationalb);
return NULL;
}
Symbol *symbolPower(Symbol *a, Symbol *b)
{
Rational *rationalb = dynamic_cast<Rational *>(b);
Rational *rationala = dynamic_cast<Rational *>(a);
Complex *compa = dynamic_cast<Complex *>(a);
Matrix *mata = dynamic_cast<Matrix *>(a);
Polynomial *pa = dynamic_cast<Polynomial *>(a);
Number power = rationalb->getNumerator();
if (!(rationalb->getDenominator() == Number("1")))
{
power = power / rationalb->getDenominator();
}
if (rationala != NULL)
return (Symbol *)new Rational(*rationala ^ power);
if (compa != NULL)
return (Symbol *)new Complex(*compa ^ power);
if (mata != NULL)
return (Symbol *)new Matrix(*mata ^ power);
if (pa != NULL)
return (Symbol *)new Polynomial(*pa ^ power);
return NULL;
}
Symbol *matrixMultiply(Symbol *a, Symbol *b)
{
Matrix *mata = dynamic_cast<Matrix *>(a);
Matrix *matb = dynamic_cast<Matrix *>(b);
return (Symbol *)new Matrix(*mata ^ *matb);
}
Symbol *Expression::evaluate() const
{
stack<Symbol *> stk;
for (int idx = 0; idx < (int)this->_rpn.size(); idx++)
{
if (this->_rpn[idx]->getType() == 0)
{
string type = this->_rpn[idx]->getName();
if (!type.compare("+"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canAdd(a->getType(), b->getType()))
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
try
{
stk.push(symbolAdd(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(7, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else if (type.compare("-") == 0)
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canSubtract(a->getType(), b->getType()))
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
try
{
stk.push(symbolSubtract(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(7, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else if (!type.compare("*"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canMultiply(a->getType(), b->getType()))
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
try
{
stk.push(symbolMultiply(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(7, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else if (!type.compare("/"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canDivide(a->getType(), b->getType()))
{
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
}
try
{
stk.push(symbolDivide(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(4, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else if (!type.compare("%"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canMod(a->getType(), b->getType()))
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
try
{
stk.push(symbolModulo(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(4, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else if (!type.compare("^"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (!Computer::init().canPow(a->getType(), b->getType()) || !(dynamic_cast<Rational *>(b)->isNumber()))
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), 5);
stk.push(symbolPower(a, b));
}
else if (!type.compare("**"))
{
if (stk.size() < 2)
throw InvalidExpression(0, this->_rpn[idx]->getTokenIndex(), this->_tokens);
Symbol *b = stk.top();
stk.pop();
Symbol *a = stk.top();
stk.pop();
if (a->getType() != MATRIX || b->getType() != MATRIX)
throw InvalidExpression(1, this->_rpn[idx]->getTokenIndex(), this->_tokens, a->getType(), b->getType());
try
{
stk.push(matrixMultiply(a, b));
}
catch (const std::exception &e)
{
throw InvalidExpression(7, this->_rpn[idx]->getTokenIndex(), this->_tokens);
}
}
else
stk.push(this->_rpn[idx]);
}
else if (this->_rpn[idx]->getType() == 5)
{
if (this->_rpn[idx]->getName().compare("sqrt") == 0)
{
if (stk.size() < 1)
throw InvalidExpression(2, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Symbol *s = stk.top();
stk.pop();
if (!dynamic_cast<Rational *>(s))
throw InvalidExpression(5, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
stk.push(new Complex(dynamic_cast<Rational *>(s)->getRoot()));
}
else if (this->_rpn[idx]->getName().compare("abs") == 0)
{
if (stk.size() < 1)
throw InvalidExpression(2, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Symbol *s = stk.top();
stk.pop();
if (!dynamic_cast<Rational *>(s))
throw InvalidExpression(5, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
stk.push(new Rational(dynamic_cast<Rational *>(s)->abs()));
}
else if (this->_rpn[idx]->getName().compare("factorial") == 0)
{
if (stk.size() < 1)
throw InvalidExpression(2, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Symbol *s = stk.top();
stk.pop();
if (!dynamic_cast<Rational *>(s))
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Rational tmp = *(dynamic_cast<Rational *>(s));
Number gg = gcd(tmp.getNumerator(), tmp.getDenominator());
if (dynamic_cast<Rational *>(s)->getDenominator() != gg)
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
gg = tmp.getNumerator() / gg;
Number res = Number("1");
Number iter = Number("1");
while (iter <= gg)
{
res = res * iter;
iter = iter + Number("1");
}
stk.push(new Rational(res, Number("1")));
}
else if (this->_rpn[idx]->getName().compare("gcd") == 0)
{
if (stk.size() < 3)
throw InvalidExpression(2, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Symbol *s = stk.top();
stk.pop();
stk.pop();
Symbol *ss = stk.top();
stk.pop();
if (!dynamic_cast<Rational *>(s))
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
if (!dynamic_cast<Rational *>(ss))
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Rational tmp = *(dynamic_cast<Rational *>(s));
Number gg = gcd(tmp.getNumerator(), tmp.getDenominator());
if (dynamic_cast<Rational *>(s)->getDenominator() != gg)
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
Rational tmp2 = *(dynamic_cast<Rational *>(ss));
Number gg2 = gcd(tmp2.getNumerator(), tmp2.getDenominator());
if (dynamic_cast<Rational *>(ss)->getDenominator() != gg)
throw InvalidExpression(6, this->_rpn[idx]->getTokenIndex(), this->_tokens, 1, (stk.size() + 1) / 2);
gg = tmp.getNumerator() / gg;
gg2 = tmp2.getNumerator() / gg2;
Number res = gcd(gg, gg2);
stk.push(new Rational(res, Number("1")));
}
else
{
Function *func = dynamic_cast<Function *>(this->_rpn[idx]);
vector<Symbol *> variables;
while (stk.size() > 0 && (int)variables.size() < func->getVariablesCount())
{
variables.push_back(stk.top());
stk.pop();
if (stk.size() > 0 && stk.top()->getName()[0] == ',')
stk.pop();
}
if ((int)variables.size() < func->getVariablesCount())
throw InvalidExpression(2, this->_rpn[idx]->getTokenIndex(), this->_tokens, func->getVariablesCount(), variables.size());
reverse(variables.begin(), variables.end());
try
{
stk.push((*func)(variables));
}
catch (...)
{
throw InvalidExpression(3, -1, this->_tokens);
}
}
}
else
{
stk.push(this->_rpn[idx]);
}
}
if (stk.size() != 1)
{
throw InvalidExpression(3, -1, this->_tokens);
}
return stk.top();
}
Symbol *Expression::tokenToSymbol(string const &token)
{
if (token.length() == 1 && isOperator(token[0]))
return new Symbol(OPERATOR, priority(token[0]), token);
try
{
Rational *rational = new Rational(token);
return rational;
}
catch (...)
{
}
if (token.compare("i") == 0 || token.compare("I") == 0)
{
return (Symbol *)(new Complex(Rational("0"), Rational("1")));
}
try
{
Matrix *matrix = new Matrix(token);
return (Symbol *)matrix;
}
catch (...)
{
}
if (Computer::init().isDeclaredFunction(token))
{
return Computer::init().getFunctionSymbol(token);
}
bool isPlaceHolder = false;
for (string tmp : this->placeHolders)
if (toLower(tmp) == toLower(token))
{
isPlaceHolder = true;
}
if (!isPlaceHolder && Computer::init().isDeclaredVariable(token))
{
return Computer::init().getVariableSymbol(token);
}
for (int idx = 0; idx < (int)token.length(); idx++)
if (!((token[idx] >= 'a' && token[idx] <= 'z') ||
(token[idx] >= 'A' && token[idx] <= 'Z')))
{
throw BadTokenException(token);
}
this->unkowns.insert(token);
return (Symbol *)(new Polynomial(token));
}
vector<string> Expression::breakDown(string const &token) const
{
vector<string> out;
int numPrefix = 0;
if (token[0] < '0' || token[0] > '9')
{
out.push_back(token);
return out;
}
while ((token[numPrefix] >= '0' && token[numPrefix] <= '9') ||
token[numPrefix] == '.')
numPrefix++;
out.push_back(token.substr(0, numPrefix));
if (numPrefix < (int)token.length())
out.push_back(token.substr(numPrefix));
return out;
}
bool Expression::validChar(char const c) const
{
if (c >= 'a' && c <= 'z')
return true;
if (c >= 'A' && c <= 'Z')
return true;
if (c >= '0' && c <= '9')
return true;
for (int idx = 0; idx < (int)validChars.length(); idx++)
if (c == validChars[idx])
return true;
return false;
}
bool Expression::isOperator(char const c) const
{
for (int idx = 0; idx < (int)operators.length(); idx++)
if (c == operators[idx])
return true;
return false;
}
Expression::Expression(Expression const &src)
{
*this = src;
}
Expression::~Expression()
{
}
vector<Symbol *> Expression::getSymbols() const
{
return this->_symbols;
}
Expression &Expression::operator=(Expression const &rhs)
{
this->_symbols = rhs._symbols;
this->_rpn = rhs._rpn;
this->placeHolders = rhs.placeHolders;
this->unkowns = rhs.unkowns;
this->_tokens = rhs._tokens;
return *this;
}
void Expression::toRPN()
{
stack<Symbol *> stk;
for (int idx = 0; idx < (int)this->_symbols.size(); idx++)
{
switch (this->_symbols[idx]->getType())
{
case OPERATOR:
if (this->_symbols[idx]->getName()[0] == ',')
this->_rpn.push_back(this->_symbols[idx]);
else if (this->_symbols[idx]->getPriority() < 4)
{
if (stk.size() == 0)
stk.push(this->_symbols[idx]);
else
{
while (stk.size() > 0 && (stk.top()->getPriority() >= this->_symbols[idx]->getPriority()))
{
if (stk.top()->getPriority() >= 4)
break;
this->_rpn.push_back(stk.top());
stk.pop();
}
stk.push(this->_symbols[idx]);
}
}
else if (this->_symbols[idx]->getName()[0] == '(')
stk.push(this->_symbols[idx]);
else if (this->_symbols[idx]->getName()[0] == ')')
{
while (stk.size() > 0 && stk.top()->getName()[0] != '(')
{
this->_rpn.push_back(stk.top());