Inheritance diagram for SymEngine::Beta:

Collaboration diagram for SymEngine::Beta:

Public Member Functions
void	accept (Visitor &v) const override

void	accept (EvalRealDoubleVisitorFinal &v) const override

	Beta (const RCP< const Basic > &x, const RCP< const Basic > &y)
	Beta Constructor.

bool	is_canonical (const RCP< const Basic > &s, const RCP< const Basic > &x)

RCP< const Basic >	rewrite_as_gamma () const

RCP< const Basic >	create (const RCP< const Basic > &a, const RCP< const Basic > &b) const override

virtual RCP< const Basic >	create (const RCP< const Basic > &a, const RCP< const Basic > &b) const=0

RCP< const Basic >	create (const vec_basic &b) const

Public Member Functions inherited from SymEngine::TwoArgBasic< BaseClass >
	TwoArgBasic (const RCP< const Basic > &a, const RCP< const Basic > &b)
	`b` in `TwoArgBasic(a, b)` More...

hash_t	__hash__ () const override

RCP< const Basic >	get_arg1 () const

RCP< const Basic >	get_arg2 () const

vec_basic	get_args () const override

RCP< const Basic >	create (const vec_basic &b) const

bool	__eq__ (const Basic &o) const override

int	compare (const Basic &o) const override
	Structural equality comparator.

Static Public Member Functions
static RCP< const Beta >	from_two_basic (const RCP< const Basic > &x, const RCP< const Basic > &y)
	return `Beta` with ordered arguments

Static Public Attributes
static const TypeID	type_code_id = SYMENGINE_BETA

Detailed Description

Definition at line 1172 of file functions.h.

Member Function Documentation

◆ create() [1/3]

RCP< const Basic > SymEngine::Beta::create	(	const RCP< const Basic > &	a,
		const RCP< const Basic > &	b
	)		const

overridevirtual

Returns: canonicalized Beta

Implements SymEngine::TwoArgBasic< BaseClass >.

Definition at line 3277 of file functions.cpp.

 {
     return beta(a, b);
 }

◆ create() [2/3]

virtual RCP<const Basic> SymEngine::TwoArgBasic< BaseClass >::create

The beta function, also called the Euler integral of the first kind, is a special function defined by

.. math:: \Beta(x, y) := \int^{1}_{0} t^{x-1} (1-t)^{y-1} \mathrm{d}t.

◆ create() [3/3]

RCP<const Basic> SymEngine::TwoArgBasic< BaseClass >::create

inline

The beta function, also called the Euler integral of the first kind, is a special function defined by

.. math:: \Beta(x, y) := \int^{1}_{0} t^{x-1} (1-t)^{y-1} \mathrm{d}t.

Definition at line 108 of file functions.h.

     {
         SYMENGINE_ASSERT(b.size() == 2);
         return create(b[0], b[1]);
     }

◆ is_canonical()

bool SymEngine::Beta::is_canonical	(	const RCP< const Basic > &	s,
		const RCP< const Basic > &	x
	)

Returns: true if canonical

Definition at line 3251 of file functions.cpp.

 {
     if (x->__cmp__(*y) == -1) {
         return false;
     }
     if (is_a<Integer>(*x)
         or (is_a<Rational>(*x)
             and (get_den(down_cast<const Rational &>(*x).as_rational_class()))
                     == 2)) {
         if (is_a<Integer>(*y)
             or (is_a<Rational>(*y)
                 and (get_den(
                         down_cast<const Rational &>(*y).as_rational_class()))
                         == 2)) {
             return false;
         }
     }
     return true;
 }

Field Documentation

◆ type_code_id

const TypeID SymEngine::Beta::type_code_id = SYMENGINE_BETA

static

Type_code_id shared by all instances

Definition at line 1182 of file functions.h.

The documentation for this class was generated from the following files:

/home/runner/work/symengine/symengine/symengine/functions.h
/home/runner/work/symengine/symengine/symengine/functions.cpp

Public Member Functions

Static Public Member Functions

Static Public Attributes