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SymEngine::Naturals0 Class Reference
+ Inheritance diagram for SymEngine::Naturals0:
+ Collaboration diagram for SymEngine::Naturals0:

Public Member Functions

void accept (Visitor &v) const override
 
void accept (EvalRealDoubleVisitorFinal &v) const override
 
void operator= (Naturals0 const &)=delete
 
hash_t __hash__ () const override
 
bool __eq__ (const Basic &o) const override
 Test equality.
 
int compare (const Basic &o) const override
 
vec_basic get_args () const override
 Returns the list of arguments.
 
RCP< const Setset_intersection (const RCP< const Set > &o) const override
 
RCP< const Setset_union (const RCP< const Set > &o) const override
 
RCP< const Setset_complement (const RCP< const Set > &o) const override
 
RCP< const Booleancontains (const RCP< const Basic > &a) const override
 
- Public Member Functions inherited from SymEngine::Set
bool is_subset (const RCP< const Set > &o) const
 
bool is_proper_subset (const RCP< const Set > &o) const
 
bool is_superset (const RCP< const Set > &o) const
 
bool is_proper_superset (const RCP< const Set > &o) const
 
- 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.
 
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 Member Functions

static const RCP< const Naturals0 > & getInstance ()
 
- Static Public Member Functions inherited from SymEngine::Basic
static RCP< const Basicloads (const std::string &)
 Creates an instance of a serialized string.
 

Static Public Attributes

static const TypeID type_code_id = SYMENGINE_NATURALS0
 

Friends

template<typename T_ , typename... Args>
RCP< T_make_rcp (Args &&...args)
 

Additional Inherited Members

- Data Fields inherited from SymEngine::Basic
TypeID type_code_
 

Detailed Description

Definition at line 339 of file sets.h.

Constructor & Destructor Documentation

◆ Naturals0()

SymEngine::Naturals0::Naturals0 ( )
inline

Definition at line 342 of file sets.h.

343 {
344 SYMENGINE_ASSIGN_TYPEID()
345 }

Member Function Documentation

◆ __eq__()

bool SymEngine::Naturals0::__eq__ ( const Basic o) const
overridevirtual

Test equality.

A virtual function for testing the equality of two Basic objects

Deprecated:
Use eq(const Basic &a, const Basic &b) non-member method
Parameters
oa constant reference to object to test against
Returns
True if this is equal to o

Implements SymEngine::Basic.

Definition at line 751 of file sets.cpp.

752{
753 if (is_a<Naturals0>(o))
754 return true;
755 return false;
756}
void hash_combine(hash_t &seed, const T &v)
Definition basic-inl.h:95

◆ __hash__()

hash_t SymEngine::Naturals0::__hash__ ( ) const
overridevirtual

Calculates the hash of the given SymEngine class. Use Basic.hash() which gives a cached version of the hash.

Returns
64-bit integer value for the hash

Implements SymEngine::Basic.

Definition at line 745 of file sets.cpp.

746{
747 hash_t seed = SYMENGINE_NATURALS0;
748 return seed;
749}

◆ accept() [1/2]

void SymEngine::Naturals0::accept ( EvalRealDoubleVisitorFinal v) const
overridevirtual

Implements SymEngine::Basic.

◆ accept() [2/2]

void SymEngine::Naturals0::accept ( Visitor v) const
overridevirtual

Implements SymEngine::Basic.

◆ compare()

int SymEngine::Naturals0::compare ( const Basic o) const
overridevirtual

Returns -1, 0, 1 for this < o, this == o, this > o. This method is used when you want to sort things like x+y+z into canonical order. This function assumes that o is the same type as this. Use __cmp__ if you want general comparison.

Implements SymEngine::Basic.

Definition at line 758 of file sets.cpp.

759{
760 SYMENGINE_ASSERT(is_a<Naturals0>(o))
761 return 0;
762}

◆ contains()

RCP< const Boolean > SymEngine::Naturals0::contains ( const RCP< const Basic > &  a) const
overridevirtual

Implements SymEngine::Set.

Definition at line 729 of file sets.cpp.

730{
731 if (not is_a_Number(*a)) {
732 if (is_a_Set(*a)) {
733 return boolean(false);
734 } else {
736 }
737 } else if (is_a<Integer>(*a)
738 and (not down_cast<const Integer &>(*a).is_negative())) {
739 return boolean(true);
740 } else {
741 return boolean(false);
742 }
743}
bool is_a_Number(const Basic &b)
Definition number.h:130

◆ get_args()

vec_basic SymEngine::Naturals0::get_args ( ) const
inlineoverridevirtual

Returns the list of arguments.

Implements SymEngine::Set.

Definition at line 354 of file sets.h.

355 {
356 return {};
357 }

◆ getInstance()

const RCP< const Naturals0 > & SymEngine::Naturals0::getInstance ( )
static

Definition at line 764 of file sets.cpp.

765{
766 const static auto a = make_rcp<const Naturals0>();
767 return a;
768}

◆ set_complement()

RCP< const Set > SymEngine::Naturals0::set_complement ( const RCP< const Set > &  o) const
overridevirtual

Implements SymEngine::Set.

Definition at line 717 of file sets.cpp.

718{
720 return emptyset();
721 }
725 }
726 return SymEngine::set_complement_helper(rcp_from_this_cast<const Set>(), o);
727}
RCP< const EmptySet > emptyset()
Definition sets.h:590
RCP< const Naturals > naturals()
Definition sets.h:578

◆ set_intersection()

RCP< const Set > SymEngine::Naturals0::set_intersection ( const RCP< const Set > &  o) const
overridevirtual

Implements SymEngine::Set.

Definition at line 687 of file sets.cpp.

688{
690 return o;
692 or is_a<Rationals>(*o)) {
693 return naturals0();
694 } else if (is_a<FiniteSet>(*o) or is_a<Interval>(*o)) {
695 return (*o).set_intersection(rcp_from_this_cast<const Set>());
696 } else {
697 return SymEngine::set_intersection(
699 }
700}
RCP< const Naturals0 > naturals0()
Definition sets.h:584

◆ set_union()

RCP< const Set > SymEngine::Naturals0::set_union ( const RCP< const Set > &  o) const
overridevirtual

Implements SymEngine::Set.

Definition at line 702 of file sets.cpp.

703{
705 return naturals0();
709 return o;
710 } else if (is_a<FiniteSet>(*o)) {
711 return (*o).set_union(rcp_from_this_cast<const Set>());
712 } else {
713 return SymEngine::make_set_union({rcp_from_this_cast<const Set>(), o});
714 }
715}

Friends And Related Symbol Documentation

◆ make_rcp

template<typename T_ , typename... Args>
RCP< T_ > make_rcp ( Args &&...  args)
friend

Definition at line 367 of file symengine_rcp.h.

368{
369#if defined(WITH_SYMENGINE_RCP)
370 return rcp(new T(std::forward<Args>(args)...));
371#else
372 RCP<T> p = rcp(new T(std::forward<Args>(args)...));
373 p->set_weak_self_ptr(p.create_weak());
374 return p;
375#endif
376}

Field Documentation

◆ type_code_id

const TypeID SymEngine::Naturals0::type_code_id = SYMENGINE_NATURALS0
static

Type_code_id shared by all instances

Definition at line 348 of file sets.h.


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