- Generated on Sun Jul 6 2014 12:06:27 for plll by
1.8.7
|
plll
1.0
|
Operator definitions for rational numbers. More...
Go to the source code of this file.
Namespaces | |
| plll | |
Contains the plll library. | |
| plll::arithmetic | |
Contains the arithmetic backend of plll. | |
| plll::arithmetic::expressions | |
| Expression templates. | |
Functions | |
Assignment-operation operators. | |
| Rational & | plll::arithmetic::operator-= (Rational &cur, const Rational &r) |
Subtracts the given rational number r from this rational number. More... | |
| template<class D > | |
| Rational & | plll::arithmetic::operator-= (Rational &cur, const expressions::Expression< RationalContext, D, expressions::MulOp > &E) |
| Subtracts the given multiplication expression from this rational number. More... | |
| Rational & | plll::arithmetic::operator+= (Rational &cur, const Rational &r) |
Adds the given rational number r to this rational number. More... | |
| template<class D > | |
| Rational & | plll::arithmetic::operator+= (Rational &cur, const expressions::Expression< RationalContext, D, expressions::MulOp > &E) |
| Adds the given multiplication expression to this rational number. More... | |
| Rational & | plll::arithmetic::operator*= (Rational &cur, const Rational &r) |
Multiplies the given rational number r with this rational number. More... | |
| Rational & | plll::arithmetic::operator/= (Rational &cur, const Rational &r) |
Divides this rational number by the given rational number r. More... | |
| Rational & | plll::arithmetic::operator%= (Rational &cur, const Rational &r) |
Divides this rational number by the given rational number r and stores the remainder in this rational number. More... | |
| Rational & | plll::arithmetic::operator<<= (Rational &cur, long r) |
Multiplies this rational number by 2 to the power of r. More... | |
| Rational & | plll::arithmetic::operator>>= (Rational &cur, long r) |
Divides this rational number by 2 to the power of r. More... | |
Operators. | |
| Rational | plll::arithmetic::operator++ (Rational &cur, int) |
| Increments this rational number by one and returns the previous value. More... | |
| Rational | plll::arithmetic::operator-- (Rational &cur, int) |
| Decrements this rational number by one and returns the previous value. More... | |
| Rational & | plll::arithmetic::operator++ (Rational &cur) |
| Increments this rational number by one and returns the new value. More... | |
| Rational & | plll::arithmetic::operator-- (Rational &cur) |
| Decrements this rational number by one and returns the new value. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::NegOp > | plll::arithmetic::operator- (const Rational &a) |
| Negates this rational number. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < RationalContext > >, expressions::AddOp > | plll::arithmetic::operator+ (const Rational &a, const Rational &b) |
| Adds the argument to this rational number and returns the result. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < RationalContext > >, expressions::SubOp > | plll::arithmetic::operator- (const Rational &a, const Rational &b) |
| Subtracts the argument from this rational number and returns the result. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < RationalContext > >, expressions::MulOp > | plll::arithmetic::operator* (const Rational &a, const Rational &b) |
| Multiplies the argument with this rational number and returns the result. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < RationalContext > >, expressions::DivOp > | plll::arithmetic::operator/ (const Rational &a, const Rational &b) |
| Divides this rational number by the argument and returns the result. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < RationalContext > >, expressions::ModOp > | plll::arithmetic::operator% (const Rational &a, const Rational &b) |
| Returns the remainder of this rational number divided by the by the argument. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::ShiftCOp > | plll::arithmetic::operator<< (const Rational &a, signed long b) |
Multiplies this rational number with 2 to the power of b and returns the result. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::ShiftCOp > | plll::arithmetic::operator>> (const Rational &a, signed long b) |
Divides this rational number by 2 to the power of b and returns the result. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::AbsOp > | plll::arithmetic::abs (const Rational &i) |
| Returns the absolute value of the given rational number. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::SquareOp > | plll::arithmetic::square (const Rational &i) |
| Returns the square of the given rational number. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::AbsOp > | plll::arithmetic::abs (const Rational &i, const RationalContext &rc) |
| Returns the absolute value of the given rational number. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::SquareOp > | plll::arithmetic::square (const Rational &i, const RationalContext &rc) |
| Returns the square of the given rational number. More... | |
Comparisons. | |
| bool | plll::arithmetic::operator== (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b for equality. More... | |
| bool | plll::arithmetic::operator!= (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b for inequality. More... | |
| bool | plll::arithmetic::operator<= (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b. More... | |
| bool | plll::arithmetic::operator>= (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b. More... | |
| bool | plll::arithmetic::operator< (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b. More... | |
| bool | plll::arithmetic::operator> (const Rational &a, const Rational &b) |
Compares the two rational numbers a and b. More... | |
Exponentiation. | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::PowerCOp < signed long >::impl > | plll::arithmetic::power (const Rational &a, signed long b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::PowerCOp < unsigned long >::impl > | plll::arithmetic::power (const Rational &a, unsigned long b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < IntegerContext > >, expressions::PowerOp > | plll::arithmetic::power (const Rational &a, const Integer &b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::PowerCOp < signed long >::impl > | plll::arithmetic::power (const Rational &a, signed long b, const RationalContext &rc) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RationalContext, expressions::Wrapper < RationalContext > , expressions::PowerCOp < unsigned long >::impl > | plll::arithmetic::power (const Rational &a, unsigned long b, const RationalContext &rc) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RationalContext, std::pair < expressions::Wrapper < RationalContext > , expressions::Wrapper < IntegerContext > >, expressions::PowerOp > | plll::arithmetic::power (const Rational &a, const Integer &b, const RationalContext &rc) |
Returns a raised to the power of b. More... | |
Functional versions of operators. | |
| void | plll::arithmetic::addmul (Rational &r, const Rational &a, const Rational &b) |
Multiplies a and b and adds the result to r. More... | |
| void | plll::arithmetic::submul (Rational &r, const Rational &a, const Rational &b) |
Multiplies a and b and subtracts the result from r. More... | |
Operator definitions for rational numbers.
This header contains templates and instantiations to implement all operations on rational numbers.
Definition in file rational-ops.hpp.
1.8.7