arithmetic-gmp-rops.hpp File Reference
Operator definitions for floating point numbers. More...
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Namespaces | |
| plll | |
Contains the plll library. | |
| plll::arithmetic | |
Contains the arithmetic backend of plll. | |
| plll::arithmetic::expressions | |
| Expression templates. | |
Functions | |
Operators. | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::NegOp > | plll::arithmetic::operator- (const Real &a) |
| Negates the floating point number. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::AddOp > | plll::arithmetic::operator+ (const Real &a, const Real &b) |
| Adds the two floating point numbers and returns the result. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::SubOp > | plll::arithmetic::operator- (const Real &a, const Real &b) |
| Subtracts the second from the first floating point number and returns the result. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::MulOp > | plll::arithmetic::operator* (const Real &a, const Real &b) |
| Multiplies the two floating point numbers and returns the result. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::DivOp > | plll::arithmetic::operator/ (const Real &a, const Real &b) |
| Divides the first by the second floating point number and returns the result. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::ModOp > | plll::arithmetic::operator% (const Real &a, const Real &b) |
| Divides the first by the second floating point number and returns the remainder. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::ShLOp > | plll::arithmetic::operator<< (const Real &a, const Real &b) |
Multiplies a with 2 to the power of b and returns the result. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::ShROp > | plll::arithmetic::operator>> (const Real &a, const Real &b) |
Divides a by 2 to the power of b and returns the result. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ShiftCOp > | plll::arithmetic::operator<< (const Real &a, signed long b) |
Multiplies a with 2 to the power of b and returns the result. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ShiftCOp > | plll::arithmetic::operator>> (const Real &a, signed long b) |
Divides a by 2 to the power of b and returns the result. More... | |
| Real | plll::arithmetic::operator++ (Real &cur, int) |
Increments cur by one and returns the previous value. More... | |
| Real | plll::arithmetic::operator-- (Real &cur, int) |
Decrements cur by one and returns the previous value. More... | |
| Real & | plll::arithmetic::operator++ (Real &cur) |
Increments cur by one and returns the new value. More... | |
| Real & | plll::arithmetic::operator-- (Real &cur) |
Decrements cur by one and returns the new value. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::AbsOp > | plll::arithmetic::abs (const Real &i) |
| Returns the absolute value of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SquareOp > | plll::arithmetic::square (const Real &i) |
| Returns the square of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::AbsOp_Context > | plll::arithmetic::abs (const Real &i, const RealContext &rc) |
| Returns the absolute value of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SquareOp_Context > | plll::arithmetic::square (const Real &i, const RealContext &rc) |
| Returns the square of the given floating point number. More... | |
Assignment-operation operators. | |
| Real & | plll::arithmetic::operator-= (Real &cur, const Real &r) |
Subtracts the floating point number r from cur. More... | |
| template<class D > | |
| Real & | plll::arithmetic::operator-= (Real &cur, const expressions::Expression< RealContext, D, expressions::MulOp > &E) |
Subtracts the multiplication expression E from cur. More... | |
| Real & | plll::arithmetic::operator+= (Real &cur, const Real &r) |
Adds the floating point number r to cur. More... | |
| template<class D > | |
| Real & | plll::arithmetic::operator+= (Real &cur, const expressions::Expression< RealContext, D, expressions::MulOp > &E) |
Adds the given multiplication expression to cur. More... | |
| Real & | plll::arithmetic::operator*= (Real &cur, const Real &r) |
Multiplies the given floating point number r with cur. More... | |
| Real & | plll::arithmetic::operator/= (Real &cur, const Real &r) |
Divides cur by the given floating point number r. More... | |
| Real & | plll::arithmetic::operator%= (Real &cur, const Real &r) |
Divides cur by the given floating point number r and stores the remainder in cur. More... | |
| Real & | plll::arithmetic::operator<<= (Real &cur, const Real &r) |
Multiplies cur by 2 to the power of r. More... | |
| Real & | plll::arithmetic::operator>>= (Real &cur, const Real &r) |
Divides cur by 2 to the power of r. More... | |
| Real & | plll::arithmetic::operator<<= (Real &cur, long r) |
Multiplies cur by 2 to the power of r. More... | |
| Real & | plll::arithmetic::operator>>= (Real &cur, long r) |
Divides cur by 2 to the power of r. More... | |
Comparisons. | |
| bool | plll::arithmetic::operator== (const Real &a, const Real &b) |
Compares the two floating point numbers a and b for equality. More... | |
| bool | plll::arithmetic::operator!= (const Real &a, const Real &b) |
Compares the two floating point numbers a and b for inequality. More... | |
| bool | plll::arithmetic::operator<= (const Real &a, const Real &b) |
Compares the two floating point numbers a and b. More... | |
| bool | plll::arithmetic::operator>= (const Real &a, const Real &b) |
Compares the two floating point numbers a and b. More... | |
| bool | plll::arithmetic::operator< (const Real &a, const Real &b) |
Compares the two floating point numbers a and b. More... | |
| bool | plll::arithmetic::operator> (const Real &a, const Real &b) |
Compares the two floating point numbers a and b. More... | |
Trigonometric functions. | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SinOp > | plll::arithmetic::sin (const Real &i) |
| Returns the sine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::CosOp > | plll::arithmetic::cos (const Real &i) |
| Returns the cosine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::TanOp > | plll::arithmetic::tan (const Real &i) |
| Returns the tangent of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ASinOp > | plll::arithmetic::asin (const Real &i) |
| Returns the arcsine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ACosOp > | plll::arithmetic::acos (const Real &i) |
| Returns the arccosine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ATanOp > | plll::arithmetic::atan (const Real &i) |
| Returns the arctangent of the given floating point number. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::ATan2Op > | plll::arithmetic::atan2 (const Real &y, const Real &x) |
Returns the arctangent of  , using the signs of x and y to determine the quadrant. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SinOp_Context > | plll::arithmetic::sin (const Real &i, const RealContext &rc) |
| Returns the sine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::CosOp_Context > | plll::arithmetic::cos (const Real &i, const RealContext &rc) |
| Returns the cosine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::TanOp_Context > | plll::arithmetic::tan (const Real &i, const RealContext &rc) |
| Returns the tangent of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ASinOp_Context > | plll::arithmetic::asin (const Real &i, const RealContext &rc) |
| Returns the arcsine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ACosOp_Context > | plll::arithmetic::acos (const Real &i, const RealContext &rc) |
| Returns the arccosine of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ATanOp_Context > | plll::arithmetic::atan (const Real &i, const RealContext &rc) |
| Returns the arctangent of the given floating point number. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::ATan2Op_Context > | plll::arithmetic::atan2 (const Real &y, const Real &x, const RealContext &rc) |
Returns the arctangent of , using the signs of x and y to determine the quadrant. More... | |
Exponential and logarithmic functions. | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ExpOp > | plll::arithmetic::exp (const Real &i) |
| Returns the exponential function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LogOp > | plll::arithmetic::log (const Real &i) |
| Returns the natural logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::Log2Op > | plll::arithmetic::log2 (const Real &i) |
| Returns the base-2 logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::Log10Op > | plll::arithmetic::log10 (const Real &i) |
| Returns the base-10 logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SqrtOp > | plll::arithmetic::sqrt (const Real &i) |
| Returns the square root of the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::ExpOp_Context > | plll::arithmetic::exp (const Real &i, const RealContext &rc) |
| Returns the exponential function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LogOp_Context > | plll::arithmetic::log (const Real &i, const RealContext &rc) |
| Returns the natural logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::Log2Op_Context > | plll::arithmetic::log2 (const Real &i, const RealContext &rc) |
| Returns the base-2 logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::Log10Op_Context > | plll::arithmetic::log10 (const Real &i, const RealContext &rc) |
| Returns the base-10 logarithm evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::SqrtOp_Context > | plll::arithmetic::sqrt (const Real &i, const RealContext &rc) |
| Returns the square root of the given floating point number. More... | |
Special functions. | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::GammaOp > | plll::arithmetic::gamma (const Real &i) |
| Returns the Gamma function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LGammaOp > | plll::arithmetic::lgamma (const Real &i) |
| Returns the natural logarithm of the absolute value of the Gamma function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LGamma2Op > | plll::arithmetic::lgamma (int &sign, const Real &i) |
| Returns the natural logarithm of the absolute value of the Gamma function evaluated at the given floating point number, as well as the sign of the Gamma function. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::GammaOp_Context > | plll::arithmetic::gamma (const Real &i, const RealContext &rc) |
| Returns the Gamma function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LGammaOp_Context > | plll::arithmetic::lgamma (const Real &i, const RealContext &rc) |
| Returns the natural logarithm of the absolute value of the Gamma function evaluated at the given floating point number. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::LGamma2Op_Context > | plll::arithmetic::lgamma (int &sign, const Real &i, const RealContext &rc) |
| Returns the natural logarithm of the absolute value of the Gamma function evaluated at the given floating point number, as well as the sign of the Gamma function. More... | |
Exponentiation. | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::PowerCOp < signed long >::impl > | plll::arithmetic::power (const Real &a, signed long b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::PowerCOp < unsigned long >::impl > | plll::arithmetic::power (const Real &a, unsigned long b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < IntegerContext > >, expressions::PowerOp > | plll::arithmetic::power (const Real &a, const Integer &b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::PowerOp > | plll::arithmetic::power (const Real &a, const Real &b) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::PowerCOp_Context < signed long >::impl > | plll::arithmetic::power (const Real &a, signed long b, const RealContext &rc) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, expressions::Wrapper < RealContext > , expressions::PowerCOp_Context < unsigned long >::impl > | plll::arithmetic::power (const Real &a, unsigned long b, const RealContext &rc) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < IntegerContext > >, expressions::PowerOp_Context > | plll::arithmetic::power (const Real &a, const Integer &b, const RealContext &rc) |
Returns a raised to the power of b. More... | |
| expressions::Expression < RealContext, std::pair < expressions::Wrapper < RealContext > , expressions::Wrapper < RealContext > >, expressions::PowerOp_Context > | plll::arithmetic::power (const Real &a, const Real &b, const RealContext &rc) |
Returns a raised to the power of b. More... | |
Detailed Description
Operator definitions for floating point numbers.
This header contains templates and instantiations to implement all operations on floating point numbers.
Definition in file arithmetic-gmp-rops.hpp.
