include/numerix/floating.hpp File Reference

#include <numerix/rational.hpp>
#include <numerix/string_scnot.hpp>
#include <numerix/mmx_mpfr.hpp>

Go to the source code of this file.

Classes

class std_floating
class single_floating
class rnd_floating< V, R >
class fixed_floating< V, P, D >
class REP_STRUCT< class >
class floating< V >
struct fast_helper< floating< V > >
struct binary_helper< floating< V > >
struct as_helper< floating< W >, floating< V > >
struct as_helper< floating< V >, rational >
struct as_helper< double, floating< V > >

Namespaces

namespace mmx

Defines

#define TMPL_DEF template<typename V=std_floating>
#define TMPL template<typename V>
#define TMPL2 template<typename V,typename V2>
#define Floating floating<V>
#define Floating2 floating<V2>
#define Floating_rep floating_rep<V>
#define Rnd V::rnd()
#define mmx_floating floating<>
#define make_literal_floating make_literal<floating<> >

Functions

template<typename V > floating< V > copy (const floating< V > &x)
INDIRECT_IMPL_1 (floating, floating_rep, typename V, V) template<> struct symbolic_type_information< floating<> >
STYPE_TO_TYPE (template< typename V >, default_radius_type, floating< V >, floating< single_floating >)
template<typename V > floating< V > duplicate (const floating< V > &x)
template<typename V > nat hash (const floating< V > &x)
template<typename V > string as_string (const floating< V > &x)
template<typename V > syntactic flatten (const floating< V > &g)
template<typename V > syntactic flatten (const floating< V > &g, xnat dd)
template<typename W , typename V > floating< W > as_floating (const floating< V > &x)
template<typename V > floating< V > as_floating (const rational &x)
template<typename F , typename V > floating< V > promote (const F &x, const floating< V > &)
template<typename V > int as_int (const floating< V > &x)
template<typename V > nat as_nat (const floating< V > &x)
template<typename V > double as_double (const floating< V > &x)
template<typename V > integer as_integer (const floating< V > &x)
template<typename V > void set_default (floating< V > &r)
template<typename V > void set_nan (floating< V > &r)
template<typename V > void set_infinity (floating< V > &r)
template<typename V > void set_maximal (floating< V > &r)
template<typename V > void set_minimal (floating< V > &r)
template<typename V > void set_largest (floating< V > &r)
template<typename V > void set_smallest (floating< V > &r)
template<typename V > void set_accuracy (floating< V > &r)
template<typename V > void set_log2 (floating< V > &r)
template<typename V > void set_pi (floating< V > &r)
template<typename V > void set_euler (floating< V > &r)
template<typename V > floating< V > times_infinity (const floating< V > &x)
template<typename V > floating< V > operator- (const floating< V > &x1)
template<typename V > floating< V > operator+ (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > operator- (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > operator* (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > operator/ (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > square (const floating< V > &x)
template<typename V > floating< V > invert (const floating< V > &x)
template<typename V > floating< V > & operator+= (floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > & operator-= (floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > & operator*= (floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > & operator/= (floating< V > &x1, const floating< V > &x2)
template<typename V > void neg (floating< V > &r)
template<typename V > void neg (floating< V > &r, const floating< V > &x1)
template<typename V > void add (floating< V > &r, const floating< V > &x1, const floating< V > &x2)
template<typename V > void sub (floating< V > &r, const floating< V > &x1, const floating< V > &x2)
template<typename V > void mul (floating< V > &r, const floating< V > &x1, const floating< V > &x2)
template<typename V > void div (floating< V > &r, const floating< V > &x1, const floating< V > &x2)
template<typename V > void mul_add (floating< V > &r, const floating< V > &x, const floating< V > &y)
ARITH_INT_SUGAR (template< typename V >, floating< V >)
template<typename V > bool is_zero (const floating< V > &x)
template<typename V , typename V2 > bool operator== (const floating< V > &x1, const floating< V2 > &x2)
template<typename V , typename V2 > bool operator!= (const floating< V > &x1, const floating< V2 > &x2)
template<typename V , typename V2 > bool operator< (const floating< V > &x1, const floating< V2 > &x2)
template<typename V , typename V2 > bool operator> (const floating< V > &x1, const floating< V2 > &x2)
template<typename V , typename V2 > bool operator<= (const floating< V > &x1, const floating< V2 > &x2)
template<typename V , typename V2 > bool operator>= (const floating< V > &x1, const floating< V2 > &x2)
template<typename V > bool operator== (const floating< V > &x1, const floating< V > &x2)
template<typename V > bool operator!= (const floating< V > &x1, const floating< V > &x2)
template<typename V > bool operator< (const floating< V > &x1, const floating< V > &x2)
template<typename V > bool operator> (const floating< V > &x1, const floating< V > &x2)
template<typename V > bool operator<= (const floating< V > &x1, const floating< V > &x2)
template<typename V > bool operator>= (const floating< V > &x1, const floating< V > &x2)
template<typename V > int sign (const floating< V > &x1)
template<typename V > floating< V > abs (const floating< V > &x1)
template<typename V > floating< V > min (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > max (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > floor (const floating< V > &x1)
template<typename V > floating< V > trunc (const floating< V > &x1)
template<typename V > floating< V > ceil (const floating< V > &x1)
template<typename V > floating< V > round (const floating< V > &x1)
TRUE_TO_EXACT_IDENTITY_SUGAR (template< typename V >, floating< V >) EQUAL_INT_SUGAR(template< typename V >
COMPARE_INT_SUGAR (template< typename V >, floating< V >)
template<typename V > floating< V > sqrt (const floating< V > &x1)
template<typename V > floating< V > cbrt (const floating< V > &x1)
template<typename V > floating< V > hypot (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > exp (const floating< V > &x1)
template<typename V > floating< V > exp2 (const floating< V > &x1)
template<typename V > floating< V > log (const floating< V > &x1)
template<typename V > floating< V > log2 (const floating< V > &x1)
template<typename V > floating< V > log10 (const floating< V > &x1)
template<typename V > floating< V > cos (const floating< V > &x1)
template<typename V > floating< V > sin (const floating< V > &x1)
template<typename V > floating< V > tan (const floating< V > &x1)
template<typename V > floating< V > acos (const floating< V > &x1)
template<typename V > floating< V > asin (const floating< V > &x1)
template<typename V > floating< V > atan (const floating< V > &x1)
template<typename V > floating< V > cosh (const floating< V > &x1)
template<typename V > floating< V > sinh (const floating< V > &x1)
template<typename V > floating< V > tanh (const floating< V > &x1)
template<typename V > floating< V > acosh (const floating< V > &x1)
template<typename V > floating< V > asinh (const floating< V > &x1)
template<typename V > floating< V > atanh (const floating< V > &x1)
template<typename V > floating< V > pow (const floating< V > &x1, const floating< V > &x2)
template<typename V > floating< V > pow (const floating< V > &x1, const int &x2)
template<typename V > floating< V > pow (const int &x1, const floating< V > &x2)
ATAN2_SUGAR (template< typename V >, floating< V >) INV_TRIGO_SUGAR(template< typename V >
template<typename V > bool is_infinite (const floating< V > &x)
template<typename V > bool is_fuzz (const floating< V > &x)
template<typename V > bool is_nan (const floating< V > &x)
template<typename V > bool is_reliable (const floating< V > &x)
template<typename V > floating< V > change_precision (const floating< V > &x, xnat prec)
template<typename V > xnat precision (const floating< V > &x)
template<typename V > floating< V > next_above (const floating< V > &x1)
template<typename V > floating< V > next_below (const floating< V > &x1)
template<typename V > floating< V > rounding_error (const floating< V > &x)
template<typename V > floating< V > additive_error (const floating< V > &x)
template<typename V > xint exponent (const floating< V > &x)
template<typename V > double magnitude (const floating< V > &x)
template<typename V > floating< V > operator<< (const floating< V > &x1, const xint &shift)
template<typename V > floating< V > operator>> (const floating< V > &x1, const xint &shift)
template<typename V > floating< V > & operator<<= (floating< V > &x1, const xint &shift)
template<typename V > floating< V > & operator>>= (floating< V > &x1, const xint &shift)
template<typename V > floating< V > gamma (const floating< V > &x1)
template<typename V > floating< V > zeta (const floating< V > &x1)
template<typename V > floating< V > erf (const floating< V > &x1)
template<typename V > floating< V > uniform_deviate (const floating< V > &lo, const floating< V > &hi)
template<typename V > void numeric_to_string (const floating< V > &x, string &s)
template<typename V > bool string_to_numeric (const string &s, floating< V > &val)
bool is_literal_floating (const literal &l)
floating as_literal_floating (const literal &l)

Variables

floating< V >
floating< V > INV_HYPER_SUGAR (template< typename V >, floating< V >) template< typename V > inline bool is_finite(const floating< V > &x)

Define Documentation

#define Floating floating<V>

Definition at line 22 of file floating.hpp.

Referenced by binary_helper< floating< V > >::assemble(), binary_helper< floating< V > >::read(), and fast_helper< floating< V > >::uu().

#define Floating2 floating<V2>

Definition at line 23 of file floating.hpp.

#define Floating_rep floating_rep<V>

Definition at line 24 of file floating.hpp.

#define make_literal_floating make_literal<floating<> >

Definition at line 525 of file floating.hpp.

#define mmx_floating floating<>

Definition at line 524 of file floating.hpp.

#define Rnd V::rnd()

Definition at line 25 of file floating.hpp.

Referenced by floating< V >::floating().

#define TMPL template<typename V>

Definition at line 20 of file floating.hpp.

#define TMPL2 template<typename V,typename V2>

Definition at line 21 of file floating.hpp.

#define TMPL_DEF template<typename V=std_floating>

Definition at line 19 of file floating.hpp.