SymEngine::Gamma Class Reference
+ Inheritance diagram for SymEngine::Gamma:
+ Collaboration diagram for SymEngine::Gamma:

Public Member Functions

void accept (Visitor &v) const override
void accept (EvalRealDoubleVisitorFinal &v) const override
 Gamma (const RCP< const Basic > &arg)
 Gamma Constructor.
bool is_canonical (const RCP< const Basic > &arg) const
RCP< const Basiccreate (const RCP< const Basic > &arg) const override
- Public Member Functions inherited from SymEngine::OneArgFunction
 OneArgFunction (const RCP< const Basic > &arg)
 The arg in OneArgFunction(arg) More...
hash_t __hash__ () const override
RCP< const Basicget_arg () const
vec_basic get_args () const override
 Returns the list of arguments.
RCP< const Basiccreate (const vec_basic &b) const
bool __eq__ (const Basic &o) const override
int compare (const Basic &o) const override
 Structural equality comparator.
- Public Member Functions inherited from SymEngine::Basic
TypeID get_type_code () const
 Basic ()
 Basic (const Basic &)=delete
 Delete the copy constructor and assignment.
Basicoperator= (const Basic &)=delete
 Assignment operator in continuation with above.
 Basic (Basic &&)=delete
 Delete the move constructor and assignment.
Basicoperator= (Basic &&)=delete
 Assignment operator in continuation with above.
hash_t hash () const
bool __neq__ (const Basic &o) const
 true if this is not equal to o. More...
int __cmp__ (const Basic &o) const
 Comparison operator.
std::string __str__ () const
std::string dumps () const
 Returns a string of the instance serialized.
RCP< const Basicsubs (const map_basic_basic &subs_dict) const
 Substitutes 'subs_dict' into 'self'.
RCP< const Basicxreplace (const map_basic_basic &subs_dict) const
virtual RCP< const Basicexpand_as_exp () const
 expands the special function in terms of exp function
RCP< const Basicdiff (const RCP< const Symbol > &x, bool cache=true) const
- Public Member Functions inherited from SymEngine::EnableRCPFromThis< Basic >
RCP< Basicrcp_from_this ()
 Get RCP<T> pointer to self (it will cast the pointer to T)
RCP< const Basicrcp_from_this () const
 Get RCP<const T> pointer to self (it will cast the pointer to const T)
RCP< const T2 > rcp_from_this_cast () const
 Get RCP<T2> pointer to self (it will cast the pointer to T2)
unsigned int use_count () const

Static Public Attributes

static const TypeID type_code_id = SYMENGINE_GAMMA

Additional Inherited Members

- Static Public Member Functions inherited from SymEngine::Basic
static RCP< const Basicloads (const std::string &)
 Creates an instance of a serialized string.
- Data Fields inherited from SymEngine::Basic
TypeID type_code_

Detailed Description

Definition at line 1083 of file functions.h.

Member Function Documentation

◆ create()

RCP< const Basic > SymEngine::Gamma::create ( const RCP< const Basic > &  arg) const
Canonicalized gamma

Implements SymEngine::OneArgFunction.

Definition at line 2968 of file functions.cpp.

2969 {
2970  return gamma(arg);
2971 }
RCP< const Basic > gamma(const RCP< const Basic > &arg)
Canonicalize Gamma:
Definition: functions.cpp:3014

◆ is_canonical()

bool SymEngine::Gamma::is_canonical ( const RCP< const Basic > &  arg) const
true if canonical

Definition at line 2953 of file functions.cpp.

2954 {
2955  if (is_a<Integer>(*arg))
2956  return false;
2957  if (is_a<Rational>(*arg)
2958  and (get_den(down_cast<const Rational &>(*arg).as_rational_class()))
2959  == 2) {
2960  return false;
2961  }
2962  if (is_a_Number(*arg) and not down_cast<const Number &>(*arg).is_exact()) {
2963  return false;
2964  }
2965  return true;
2966 }
bool is_a_Number(const Basic &b)
Definition: number.h:130

Field Documentation

◆ type_code_id

const TypeID SymEngine::Gamma::type_code_id = SYMENGINE_GAMMA

The gamma function

.. math:: \Gamma(x) := \int^{\infty}_{0} t^{x-1} e^{t} \mathrm{d}t.

The gamma function implements the function which passes through the values of the factorial function, i.e. \Gamma(n) = (n - 1)! when n is an integer. More general, \Gamma(z) is defined in the whole complex plane except at the negative integers where there are simple poles.

Type_code_id shared by all instances

Definition at line 1096 of file functions.h.

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