boost::numeric Namespace Reference

Namespaces
	detail
	functional
	interval_lib
	odeint
	op
	operators
	ublas
	main namespace of uBLAS.

Classes
class	bad_numeric_cast
struct	bounds
struct	bounds< rational< T > >
struct	Ceil
struct	conversion_traits
struct	converter
struct	converter< double, rational< T >, Traits, OverflowHandler, Float2IntRounder, RawConverter, UserRangeChecker >
struct	converter< int, rational< T >, Traits, OverflowHandler, Float2IntRounder, RawConverter, UserRangeChecker >
struct	def_overflow_handler
struct	default_
struct	Floor
struct	int_float_mixture
class	interval
struct	is_subranged
struct	make_converter_from
class	negative_overflow
struct	numeric_cast_traits
struct	one
struct	one< std::complex< T > >
	INTERNAL ONLY. More...
struct	one_or_default
class	positive_overflow
struct	raw_converter
struct	RoundEven
struct	sign_mixture
struct	silent_overflow_handler
struct	Trunc
struct	udt_builtin_mixture
struct	UseInternalRangeChecker
struct	zero
struct	zero_or_default

Enumerations
enum	range_check_result {   cInRange = 0,   cNegOverflow = 1,   cPosOverflow = 2 }
enum	int_float_mixture_enum {   integral_to_integral,   integral_to_float,   float_to_integral,   float_to_float }
enum	sign_mixture_enum {   unsigned_to_unsigned,   signed_to_signed,   signed_to_unsigned,   unsigned_to_signed }
enum	udt_builtin_mixture_enum {   builtin_to_builtin,   builtin_to_udt,   udt_to_builtin,   udt_to_udt }

Functions
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (plus) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (minus) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (multiplies) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (divides) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (modulus) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (greater) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (greater_equal) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (less) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (less_equal) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (equal_to) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (not_equal_to) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (assign) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (plus_assign) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (minus_assign) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (multiplies_assign) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (divides_assign) namespace functional
	BOOST_ACCUMULATORS_IGNORE_GLOBAL (modulus_assign) namespace functional
template<typename To , typename From >
lazy_disable_if< is_const < From >, mpl::if_< is_same < To, From >, To &, To > >::type	promote (From &from)
template<typename To , typename From >
mpl::if_< is_same< To const, From const >, To const &, To const >::type	promote (From const &from)
template<typename T >
T const &	pow (T const &x, mpl::int_< 1 >)
	INTERNAL ONLY. More...
template<typename T , int N>
T	pow (T const &x, mpl::int_< N >)
	INTERNAL ONLY. More...
template<class T , class Policies >
const interval< T, Policies > &	operator+ (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	operator- (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	operator+ (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator+ (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator+ (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	operator- (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator- (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator- (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	operator* (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator* (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator* (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	operator/ (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator/ (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator/ (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	fmod (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	fmod (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	fmod (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	pow (const interval< T, Policies > &x, int pwr)
template<class T , class Policies >
interval< T, Policies >	sqrt (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	square (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	nth_root (interval< T, Policies > const &x, int k)
template<class T , class Policies >
interval< T, Policies >	operator+ (const interval< T, Policies > &x, int y)
template<class T , class Policies >
interval< T, Policies >	operator+ (int x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator- (const interval< T, Policies > &x, int y)
template<class T , class Policies >
interval< T, Policies >	operator- (int x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator* (const interval< T, Policies > &x, int y)
template<class T , class Policies >
interval< T, Policies >	operator* (int x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	operator/ (const interval< T, Policies > &x, int y)
template<class T , class Policies >
interval< T, Policies >	operator/ (int x, const interval< T, Policies > &y)
template<class CharType , class CharTraits , class T , class Policies >
std::basic_ostream< CharType, CharTraits > &	operator<< (std::basic_ostream< CharType, CharTraits > &stream, interval< T, Policies > const &value)
template<class T , class Policies >
interval< T, Policies >	exp (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	log (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	cos (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	sin (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	tan (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	asin (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	acos (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	atan (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	sinh (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	cosh (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	tanh (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	asinh (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	acosh (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	atanh (const interval< T, Policies > &x)
template<class T , class Policies >
const T &	lower (const interval< T, Policies > &x)
template<class T , class Policies >
const T &	upper (const interval< T, Policies > &x)
template<class T , class Policies >
T	checked_lower (const interval< T, Policies > &x)
template<class T , class Policies >
T	checked_upper (const interval< T, Policies > &x)
template<class T , class Policies >
T	width (const interval< T, Policies > &x)
template<class T , class Policies >
T	median (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	widen (const interval< T, Policies > &x, const T &v)
template<class T , class Policies >
bool	empty (const interval< T, Policies > &x)
template<class T , class Policies >
bool	zero_in (const interval< T, Policies > &x)
template<class T , class Policies >
bool	in_zero (const interval< T, Policies > &x)
template<class T , class Policies >
bool	in (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
bool	subset (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies1 , class Policies2 >
bool	proper_subset (const interval< T, Policies1 > &x, const interval< T, Policies2 > &y)
template<class T , class Policies1 , class Policies2 >
bool	overlap (const interval< T, Policies1 > &x, const interval< T, Policies2 > &y)
template<class T , class Policies >
bool	singleton (const interval< T, Policies > &x)
template<class T , class Policies1 , class Policies2 >
bool	equal (const interval< T, Policies1 > &x, const interval< T, Policies2 > &y)
template<class T , class Policies >
interval< T, Policies >	intersect (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	hull (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies >	hull (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies >	hull (const T &x, const interval< T, Policies > &y)
template<class T >
interval< T >	hull (const T &x, const T &y)
template<class T , class Policies >
std::pair< interval< T, Policies >, interval< T, Policies > >	bisect (const interval< T, Policies > &x)
template<class T , class Policies >
T	norm (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies >	abs (const interval< T, Policies > &x)
template<class T , class Policies >
interval< T, Policies > max	BOOST_PREVENT_MACRO_SUBSTITUTION (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies > max	BOOST_PREVENT_MACRO_SUBSTITUTION (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies > max	BOOST_PREVENT_MACRO_SUBSTITUTION (const T &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies > min	BOOST_PREVENT_MACRO_SUBSTITUTION (const interval< T, Policies > &x, const interval< T, Policies > &y)
template<class T , class Policies >
interval< T, Policies > min	BOOST_PREVENT_MACRO_SUBSTITUTION (const interval< T, Policies > &x, const T &y)
template<class T , class Policies >
interval< T, Policies > min	BOOST_PREVENT_MACRO_SUBSTITUTION (const T &x, const interval< T, Policies > &y)

Enumeration Type Documentation

enum boost::numeric::int_float_mixture_enum

Enumerator
integral_to_integral
integral_to_float
float_to_integral
float_to_float

enum boost::numeric::range_check_result

Enumerator
cInRange
cNegOverflow
cPosOverflow

enum boost::numeric::sign_mixture_enum

Enumerator
unsigned_to_unsigned
signed_to_signed
signed_to_unsigned
unsigned_to_signed

enum boost::numeric::udt_builtin_mixture_enum

Enumerator
builtin_to_builtin
builtin_to_udt
udt_to_builtin
udt_to_udt

Function Documentation

template<class T , class Policies >

interval<T, Policies> boost::numeric::abs ( const interval< T, Policies > &  x )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::numeric::interval< T, Policies >::upper(), and boost::flyweights::x.

Referenced by boost::numeric::odeint::rosenbrock4_controller< Stepper >::error(), boost::numeric::odeint::array_algebra::norm_inf(), boost::numeric::odeint::openmp_range_algebra::norm_inf(), boost::numeric::odeint::detail::fusion_maximum< Value >::operator()(), boost::numeric::odeint::detail::maximum< Value >::operator()(), boost::numeric::odeint::vector_space_norm_inf< double >::operator()(), boost::numeric::odeint::vector_space_norm_inf< float >::operator()(), boost::numeric::odeint::vector_space_norm_inf< std::complex< T > >::operator()(), boost::numeric::odeint::compute_operations::rel_error< Fac1 >::operator()(), boost::numeric::odeint::thrust_operations::rel_error< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error< Fac1 >::operator()(), boost::numeric::odeint::default_operations::default_rel_error< Fac1 >::operator()(), boost::numeric::odeint::default_operations::maximum< Value >::operator()(), boost::numeric::odeint::default_operations::rel_error_max< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error_max2< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error_l2< Fac1 >::operator()(), and boost::numeric::odeint::default_operations::rel_error_l2_2< Fac1 >::operator()().

template<class T , class Policies >

interval<T, Policies> boost::numeric::acos ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::acosh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::asin ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::asinh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::atan ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::atanh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

std::pair<interval<T, Policies>, interval<T, Policies> > boost::numeric::bisect ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), median(), T, and boost::numeric::interval< T, Policies >::upper().

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

minus

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

divides

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

less

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

divides_assign

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

modulus_assign

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

less_equal

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

modulus

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

equal_to

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

not_equal_to

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

greater

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

assign

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

plus_assign

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

plus

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

minus_assign

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

multiplies

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

greater_equal

)

boost::numeric::BOOST_ACCUMULATORS_IGNORE_GLOBAL

(

multiplies_assign

)

template<class T , class Policies >

interval<T, Policies> max boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References BOOST_USING_STD_MAX, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, and boost::numeric::interval< T, Policies >::upper().

Referenced by abs(), BOOST_PREVENT_MACRO_SUBSTITUTION(), cos(), boost::numeric::odeint::rosenbrock4_controller< Stepper >::error(), hull(), intersect(), norm(), boost::numeric::odeint::array_algebra::norm_inf(), boost::numeric::odeint::default_operations::default_rel_error< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error_max< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error_max2< Fac1 >::operator()(), boost::numeric::odeint::default_operations::rel_error_l2< Fac1 >::operator()(), operator*(), pow(), boost::numeric::odeint::rosenbrock4_controller< Stepper >::try_step(), boost::numeric::odeint::bulirsch_stoer_dense_out< State, Value, Deriv, Time, Algebra, Operations, Resizer >::try_step(), boost::numeric::odeint::bulirsch_stoer< State, Value, Deriv, Time, Algebra, Operations, Resizer >::try_step(), boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_tag >::try_step(), and boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_fsal_tag >::try_step().

template<class T , class Policies >

interval<T, Policies> max boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const interval< T, Policies > &  x, const T &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> max boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const T &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> min boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MIN, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::min, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> min boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const interval< T, Policies > &  x, const T &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MIN, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::min, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> min boost::numeric::BOOST_PREVENT_MACRO_SUBSTITUTION ( const T &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MIN, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::min, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

T boost::numeric::checked_lower ( const interval< T, Policies > &  x )

inline

References empty(), and boost::numeric::interval< T, Policies >::lower().

template<class T , class Policies >

T boost::numeric::checked_upper ( const interval< T, Policies > &  x )

inline

References empty(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::cos ( const interval< T, Policies > &  x )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MIN, boost::numeric::interval< T, Policies >::empty(), fmod(), boost::accumulators::extract::min, T, and width().

Referenced by sin().

template<class T , class Policies >

interval<T, Policies> boost::numeric::cosh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

bool boost::numeric::empty ( const interval< T, Policies > &  x )

inline

Referenced by checked_lower(), checked_upper(), equal(), operator<<(), proper_subset(), singleton(), and subset().

template<class T , class Policies1 , class Policies2 >

bool boost::numeric::equal ( const interval< T, Policies1 > &  x, const interval< T, Policies2 > &  y  )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::interval_lib::compare::set::operator!=(), boost::numeric::interval_lib::compare::set::operator==(), and boost::numeric::interval_lib::detail::root_aux().

template<class T , class Policies >

interval<T, Policies> boost::numeric::exp ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::fmod ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::n, T, and boost::numeric::interval< T, Policies >::upper().

Referenced by cos(), and tan().

template<class T , class Policies >

interval<T, Policies> boost::numeric::fmod ( const interval< T, Policies > &  x, const T &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::n, T, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::fmod ( const T &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::n, T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::hull ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, BOOST_USING_STD_MIN, boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::numeric::interval< T, Policies >::upper(), boost::flyweights::x, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::hull ( const interval< T, Policies > &  x, const T &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, BOOST_USING_STD_MIN, boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::numeric::interval< T, Policies >::upper(), boost::flyweights::x, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::hull ( const T &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, BOOST_USING_STD_MIN, boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::numeric::interval< T, Policies >::upper(), boost::flyweights::x, and boost::polygon::y().

template<class T >

interval<T> boost::numeric::hull ( const T &  x, const T &  y  )

inline

References boost::numeric::interval< T, Policies >::hull().

template<class T , class Policies >

bool boost::numeric::in ( const T &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_tag >::try_step(), and boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_fsal_tag >::try_step().

template<class T , class Policies >

bool boost::numeric::in_zero ( const interval< T, Policies > &  x )

inline

References boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::intersect ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, BOOST_USING_STD_MIN, boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::accumulators::extract::min, T, and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::interval_lib::detail::root_aux().

template<class T , class Policies >

interval<T, Policies> boost::numeric::log ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

const T& boost::numeric::lower ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::lower().

Referenced by operator<<(), boost::numeric::interval_lib::detail::root_aux_dn(), and boost::numeric::interval_lib::detail::root_aux_up().

template<class T , class Policies >

T boost::numeric::median ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by bisect(), and boost::numeric::interval_lib::detail::root_aux().

template<class T , class Policies >

T boost::numeric::norm ( const interval< T, Policies > &  x )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::nth_root ( interval< T, Policies > const &  x, int  k  )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, boost::numeric::interval< T, Policies >::upper(), and boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator* ( const interval< T, Policies > &  x, int  y  )

inline

References T, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator* ( int  x, const interval< T, Policies > &  y  )

inline

References T, and boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator* ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, BOOST_USING_STD_MIN, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::accumulators::extract::min, T, boost::numeric::interval< T, Policies >::upper(), boost::polygon::xl(), and boost::polygon::yl().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator* ( const T &  x, const interval< T, Policies > &  y  )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::yl().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator* ( const interval< T, Policies > &  x, const T &  y  )

inline

References boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator+ ( const interval< T, Policies > &  x, int  y  )

inline

References T, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator+ ( int  x, const interval< T, Policies > &  y  )

inline

References T, and boost::flyweights::x.

template<class T , class Policies >

const interval<T, Policies>& boost::numeric::operator+ ( const interval< T, Policies > &  x )

inline

References boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator+ ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator+ ( const T &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator+ ( const interval< T, Policies > &  x, const T &  y  )

inline

References boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( const interval< T, Policies > &  x, int  y  )

inline

References T, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( int  x, const interval< T, Policies > &  y  )

inline

References T, and boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( const T &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator- ( const interval< T, Policies > &  x, const T &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::numeric::interval< T, Policies >::upper(), and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator/ ( const interval< T, Policies > &  x, int  y  )

inline

References T, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator/ ( int  x, const interval< T, Policies > &  y  )

inline

References T, and boost::flyweights::x.

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator/ ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::numeric::interval< T, Policies >::upper(), and zero_in().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator/ ( const T &  x, const interval< T, Policies > &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), boost::numeric::interval< T, Policies >::upper(), boost::flyweights::x, and zero_in().

template<class T , class Policies >

interval<T, Policies> boost::numeric::operator/ ( const interval< T, Policies > &  x, const T &  y  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), T, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::xl().

template<class CharType , class CharTraits , class T , class Policies >

std::basic_ostream<CharType, CharTraits>& boost::numeric::operator<<	(	std::basic_ostream< CharType, CharTraits > &	stream,
		interval< T, Policies > const &	value
	)

References empty(), lower(), upper(), and boost::program_options::value().

template<class T , class Policies1 , class Policies2 >

bool boost::numeric::overlap ( const interval< T, Policies1 > &  x, const interval< T, Policies2 > &  y  )

inline

References boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<typename T >

T const& boost::numeric::pow	(	T const &	x,
		mpl::int_< 1 >
	)

INTERNAL ONLY.

References boost::flyweights::x.

Referenced by boost::accumulators::impl::rolling_moment_impl< N, Sample >::operator()(), boost::accumulators::impl::weighted_moment_impl< N, Sample, Weight >::operator()(), boost::accumulators::impl::moment_impl< N, Sample >::operator()(), pow(), boost::numeric::interval_lib::detail::root_aux(), boost::numeric::odeint::rosenbrock4_controller< Stepper >::try_step(), boost::numeric::odeint::bulirsch_stoer_dense_out< State, Value, Deriv, Time, Algebra, Operations, Resizer >::try_step(), boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_tag >::try_step(), and boost::numeric::odeint::controlled_runge_kutta< ErrorStepper, ErrorChecker, Resizer, explicit_error_stepper_fsal_tag >::try_step().

template<typename T , int N>

T boost::numeric::pow	(	T const &	x,
		mpl::int_< N >
	)

INTERNAL ONLY.

References N, pow(), T, boost::flyweights::x, and boost::polygon::y().

template<class T , class Policies >

interval<T, Policies> boost::numeric::pow ( const interval< T, Policies > &  x, int  pwr  )

inline

References BOOST_PREVENT_MACRO_SUBSTITUTION(), BOOST_USING_STD_MAX, empty(), boost::numeric::interval< T, Policies >::lower(), boost::accumulators::extract::max, boost::numeric::interval_lib::multiplicative_inverse(), pow(), boost::numeric::interval_lib::detail::pow_dn(), boost::numeric::interval_lib::detail::pow_up(), T, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::yl().

template<typename To , typename From >

lazy_disable_if< is_const< From >, mpl::if_< is_same< To, From >, To &, To > >::type boost::numeric::promote

(

From &

from

)

template<typename To , typename From >

mpl::if_< is_same< To const, From const >, To const &, To const >::type boost::numeric::promote

(

From const &

from

)

template<class T , class Policies1 , class Policies2 >

bool boost::numeric::proper_subset ( const interval< T, Policies1 > &  x, const interval< T, Policies2 > &  y  )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::interval_lib::compare::set::operator<(), and boost::numeric::interval_lib::compare::set::operator>().

template<class T , class Policies >

interval<T, Policies> boost::numeric::sin ( const interval< T, Policies > &  x )

inline

References cos(), empty(), and boost::detail::void.

template<class T , class Policies >

bool boost::numeric::singleton ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::sinh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

interval<T, Policies> boost::numeric::sqrt ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::odeint::detail::symplectic_rkn_sb3a_m4_mclachlan::coef_a_type< Value >::coef_a_type(), boost::numeric::odeint::rosenbrock4_controller< Stepper >::error(), boost::numeric::interval_lib::rounded_arith_exact< T >::sqrt_down(), boost::numeric::interval_lib::rounded_arith_std< T, Rounding >::sqrt_down(), boost::numeric::interval_lib::rounded_arith_opp< long double >::sqrt_down(), boost::numeric::interval_lib::rounded_arith_exact< T >::sqrt_up(), boost::numeric::interval_lib::rounded_arith_std< T, Rounding >::sqrt_up(), boost::numeric::interval_lib::rounded_arith_opp< long double >::sqrt_up(), and boost::numeric::ublas::complex_traits< std::complex< long double > >::type_sqrt().

template<class T , class Policies >

interval<T, Policies> boost::numeric::square ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), T, boost::numeric::interval< T, Policies >::upper(), and boost::polygon::xl().

template<class T , class Policies >

bool boost::numeric::subset ( const interval< T, Policies > &  x, const interval< T, Policies > &  y  )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::interval_lib::compare::set::operator<=(), and boost::numeric::interval_lib::compare::set::operator>=().

template<class T , class Policies >

interval<T, Policies> boost::numeric::tan ( const interval< T, Policies > &  x )

inline

References empty(), fmod(), and T.

template<class T , class Policies >

interval<T, Policies> boost::numeric::tanh ( const interval< T, Policies > &  x )

inline

References empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

template<class T , class Policies >

const T& boost::numeric::upper ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::upper().

Referenced by operator<<(), boost::numeric::interval_lib::detail::root_aux_dn(), and boost::numeric::interval_lib::detail::root_aux_up().

template<class T , class Policies >

interval<T, Policies> boost::numeric::widen ( const interval< T, Policies > &  x, const T &  v  )

inline

References boost::numeric::interval< T, Policies >::empty(), boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::spirit::lex::lexertl::detail::string_lit< wchar_t >::get(), boost::basic_format< Ch, Tr, Alloc >::parse(), boost::io::detail::parse_printf_directive(), and boost::io::detail::skip_asterisk().

template<class T , class Policies >

T boost::numeric::width ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::lower(), T, and boost::numeric::interval< T, Policies >::upper().

Referenced by cos().

template<class T , class Policies >

bool boost::numeric::zero_in ( const interval< T, Policies > &  x )

inline

References boost::numeric::interval< T, Policies >::lower(), and boost::numeric::interval< T, Policies >::upper().

Referenced by boost::numeric::interval_lib::division_part1(), boost::numeric::interval_lib::multiplicative_inverse(), and operator/().