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Functions for Rational |  |
#include <vigra/rational.hxx>
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Functions | |
| template<typename IntType > | |
| Rational< IntType > | abs (const Rational< IntType > &r) |
| absolute value | |
| template<typename IntType > | |
| Rational< IntType > | ceil (const Rational< IntType > &r) |
smallest integer not smaller than r | |
| template<typename IntType > | |
| Rational< IntType > | floor (const Rational< IntType > &r) |
largest integer not larger than r | |
| template<typename IntType > | |
| Rational< IntType > | norm (const Rational< IntType > &r) |
norm (same as abs(r)) | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator!= (Rational< IntType1 > const &l, Rational< IntType2 > const &r) |
| inequality | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator!= (const Rational< IntType1 > &l, IntType2 const &i) |
inequality with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator!= (IntType1 const &l, Rational< IntType2 > const &r) |
inequality with left-hand IntType1 argument | |
| template<typename IntType > | |
| Rational< IntType > | operator* (Rational< IntType > l, Rational< IntType > const &r) |
| multiplication | |
| template<typename IntType > | |
| Rational< IntType > | operator* (Rational< IntType > l, typename Rational< IntType >::param_type r) |
multiplication with right-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator* (typename Rational< IntType >::param_type l, Rational< IntType > r) |
multiplication with left-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator+ (const Rational< IntType > &r) |
| unary plus | |
| template<typename IntType > | |
| Rational< IntType > | operator+ (Rational< IntType > l, Rational< IntType > const &r) |
| addition | |
| template<typename IntType > | |
| Rational< IntType > | operator+ (Rational< IntType > l, typename Rational< IntType >::param_type r) |
addition of right-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator+ (typename Rational< IntType >::param_type l, Rational< IntType > r) |
addition of left-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator- (const Rational< IntType > &r) |
| unary minus (negation) | |
| template<typename IntType > | |
| Rational< IntType > | operator- (Rational< IntType > l, Rational< IntType > const &r) |
| subtraction | |
| template<typename IntType > | |
| Rational< IntType > | operator- (Rational< IntType > l, typename Rational< IntType >::param_type r) |
subtraction of right-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator- (typename Rational< IntType >::param_type l, Rational< IntType > const &r) |
subtraction from left-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator/ (Rational< IntType > l, Rational< IntType > const &r) |
| division | |
| template<typename IntType > | |
| Rational< IntType > | operator/ (Rational< IntType > l, typename Rational< IntType >::param_type r) |
division by right-hand IntType argument | |
| template<typename IntType > | |
| Rational< IntType > | operator/ (typename Rational< IntType >::param_type l, Rational< IntType > const &r) |
division of left-hand IntType argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator< (const Rational< IntType1 > &l, const Rational< IntType2 > &r) |
| less-than | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator< (const Rational< IntType1 > &l, IntType2 const &i) |
less-than with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator< (IntType1 const &l, Rational< IntType2 > const &r) |
less-than with left-hand IntType1 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator<= (Rational< IntType1 > const &l, Rational< IntType2 > const &r) |
| less-equal | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator<= (Rational< IntType1 > const &l, IntType2 const &r) |
less-equal with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator<= (IntType1 const &l, Rational< IntType2 > const &r) |
less-equal with left-hand IntType1 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator== (const Rational< IntType1 > &l, const Rational< IntType2 > &r) |
| equality | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator== (const Rational< IntType1 > &l, IntType2 const &i) |
equality with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator== (IntType1 const &l, Rational< IntType2 > const &r) |
equality with left-hand IntType1 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator> (Rational< IntType1 > const &l, Rational< IntType2 > const &r) |
| greater-than | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator> (const Rational< IntType1 > &l, IntType2 const &i) |
greater-than with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator> (IntType1 const &l, Rational< IntType2 > const &r) |
greater-than with left-hand IntType1 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator>= (Rational< IntType1 > const &l, Rational< IntType2 > const &r) |
| greater-equal | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator>= (Rational< IntType1 > const &l, IntType2 const &r) |
greater-equal with right-hand IntType2 argument | |
| template<typename IntType1 , typename IntType2 > | |
| bool | operator>= (IntType1 const &l, Rational< IntType2 > const &r) |
greater-equal with left-hand IntType1 argument | |
| template<typename IntType > | |
| Rational< IntType > | pow (const Rational< IntType > &r, int n) |
| template<typename T , typename IntType > | |
| T | rational_cast (const Rational< IntType > &src) |
| template<typename IntType > | |
| NormTraits< Rational< IntType > >::SquaredNormType | squaredNorm (const Rational< IntType > &r) |
| squared norm | |
Detailed Description
#include <vigra/rational.hxx>
These functions fulfill the requirements of an AlgebraicField.
Namespace: vigra
Function Documentation
| Rational< IntType > pow | ( | const Rational< IntType > & | r, |
| int | e | ||
| ) |
integer powers
throws bad_rational if indeterminate expression.
| T vigra::rational_cast | ( | const Rational< IntType > & | src | ) |
Type conversion
Executes static_cast<T>(numerator()) / denominator().
Usage: