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

Public Member Functions

void accept (Visitor &v) const override
 
void accept (EvalRealDoubleVisitorFinal &v) const override
 
 ASec (const RCP< const Basic > &arg)
 ASec 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::InverseTrigFunction
 InverseTrigFunction (RCP< const Basic > arg)
 Constructor.
 
- Public Member Functions inherited from SymEngine::TrigBase
 TrigBase (RCP< const Basic > arg)
 Constructor.
 
- 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 ()
 Constructor.
 
 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_ASEC
 

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 437 of file functions.h.

Member Function Documentation

◆ create()

RCP< const Basic > SymEngine::ASec::create ( const RCP< const Basic > &  arg) const
overridevirtual
Returns
Canonicalized asec

Implements SymEngine::OneArgFunction.

Definition at line 1723 of file functions.cpp.

1724 {
1725  return asec(arg);
1726 }
RCP< const Basic > asec(const RCP< const Basic > &arg)
Canonicalize ASec:
Definition: functions.cpp:1444

◆ is_canonical()

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

Definition at line 1430 of file functions.cpp.

1431 {
1432  if (eq(*arg, *one) or eq(*arg, *minus_one))
1433  return false;
1434  RCP<const Basic> index;
1435  if (inverse_lookup(inverse_cst(), div(one, get_arg()), outArg(index))) {
1436  return false;
1437  } else if (is_a_Number(*arg)
1438  and not down_cast<const Number &>(*arg).is_exact()) {
1439  return false;
1440  }
1441  return true;
1442 }
RCP< const Basic > get_arg() const
Definition: functions.h:36
bool is_a_Number(const Basic &b)
Definition: number.h:130
RCP< const Basic > div(const RCP< const Basic > &a, const RCP< const Basic > &b)
Division.
Definition: mul.cpp:431
bool eq(const Basic &a, const Basic &b)
Checks equality for a and b
Definition: basic-inl.h:21
bool inverse_lookup(const umap_basic_basic &d, const RCP< const Basic > &t, const Ptr< RCP< const Basic >> &index)
Definition: functions.cpp:480

Field Documentation

◆ type_code_id

const TypeID SymEngine::ASec::type_code_id = SYMENGINE_ASEC
static

Type_code_id shared by all instances

Definition at line 441 of file functions.h.


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