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Public Member Functions | Static Public Member Functions | Static Public Attributes | Friends
SymEngine::Rationals Class Reference
+ Inheritance diagram for SymEngine::Rationals:
+ Collaboration diagram for SymEngine::Rationals:

Public Member Functions

void accept (Visitor &v) const override
 
void accept (EvalRealDoubleVisitorFinal &v) const override
 
void operator= (Rationals 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 Set > set_intersection (const RCP< const Set > &o) const override
 
RCP< const Set > set_union (const RCP< const Set > &o) const override
 
RCP< const Set > set_complement (const RCP< const Set > &o) const override
 
RCP< const Boolean > contains (const RCP< const Basic > &a) const override
 
- Public Member Functions inherited from SymEngine::Set
vec_basic get_args () const override=0
 Returns the list of arguments.
 
virtual RCP< const Set > set_intersection (const RCP< const Set > &o) const =0
 
virtual RCP< const Set > set_union (const RCP< const Set > &o) const =0
 
virtual RCP< const Set > set_complement (const RCP< const Set > &o) const =0
 
virtual RCP< const Boolean > contains (const RCP< const Basic > &a) const =0
 
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.
 
Basic & operator= (const Basic &)=delete
 Assignment operator in continuation with above.
 
 Basic (Basic &&)=delete
 Delete the move constructor and assignment.
 
Basic & operator= (Basic &&)=delete
 Assignment operator in continuation with above.
 
virtual hash_t __hash__ () const =0
 
hash_t hash () const
 
virtual bool __eq__ (const Basic &o) const =0
 Test equality.
 
bool __neq__ (const Basic &o) const
 true if this is not equal to o.
 
int __cmp__ (const Basic &o) const
 Comparison operator.
 
virtual int compare (const Basic &o) const =0
 
std::string __str__ () const
 
std::string dumps () const
 Returns a string of the instance serialized.
 
RCP< const Basic > subs (const map_basic_basic &subs_dict) const
 Substitutes 'subs_dict' into 'self'.
 
RCP< const Basic > xreplace (const map_basic_basic &subs_dict) const
 
virtual RCP< const Basic > expand_as_exp () const
 expands the special function in terms of exp function
 
virtual vec_basic get_args () const =0
 Returns the list of arguments.
 
virtual void accept (Visitor &v) const =0
 
virtual void accept (EvalRealDoubleVisitorFinal &v) const =0
 
RCP< const Basic > diff (const RCP< const Symbol > &x, bool cache=true) const
 
- Public Member Functions inherited from SymEngine::EnableRCPFromThis< Basic >
RCP< Basic > rcp_from_this ()
 Get RCP<T> pointer to self (it will cast the pointer to T)
 
RCP< const Basic > rcp_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 Rationals > & getInstance ()
 
- Static Public Member Functions inherited from SymEngine::Basic
static RCP< const Basic > loads (const std::string &)
 Creates an instance of a serialized string.
 

Static Public Attributes

static const TypeID type_code_id = SYMENGINE_RATIONALS
 

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 252 of file sets.h.

Constructor & Destructor Documentation

◆ Rationals()

SymEngine::Rationals::Rationals ( )
inline

Definition at line 255 of file sets.h.

256 {
257 SYMENGINE_ASSIGN_TYPEID()
258 }

Member Function Documentation

◆ __eq__()

bool SymEngine::Rationals::__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 496 of file sets.cpp.

497{
498 return (is_a<Rationals>(o));
499}

◆ __hash__()

hash_t SymEngine::Rationals::__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 490 of file sets.cpp.

491{
492 hash_t seed = SYMENGINE_RATIONALS;
493 return seed;
494}

◆ accept() [1/2]

void SymEngine::Rationals::accept ( EvalRealDoubleVisitorFinal &  v) const
overridevirtual

Implements SymEngine::Basic.

◆ accept() [2/2]

void SymEngine::Rationals::accept ( Visitor &  v) const
overridevirtual

Implements SymEngine::Basic.

◆ compare()

int SymEngine::Rationals::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 501 of file sets.cpp.

502{
503 SYMENGINE_ASSERT(is_a<Rationals>(o))
504 return 0;
505}

◆ contains()

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

Implements SymEngine::Set.

Definition at line 475 of file sets.cpp.

476{
477 if (not is_a_Number(*a)) {
478 if (is_a_Set(*a)) {
479 return boolean(false);
480 } else {
481 return make_rcp<Contains>(a, rcp_from_this_cast<const Set>());
482 }
483 }
484 if (is_a<Complex>(*a) or not down_cast<const Number &>(*a).is_exact()) {
485 return boolean(false);
486 }
487 return boolean(true);
488}
SymEngine::is_a_Number
bool is_a_Number(const Basic &b)
Definition: number.h:130

◆ get_args()

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

Returns the list of arguments.

Implements SymEngine::Set.

Definition at line 267 of file sets.h.

268 {
269 return {};
270 }

◆ getInstance()

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

Definition at line 507 of file sets.cpp.

508{
509 const static auto a = make_rcp<const Rationals>();
510 return a;
511}

◆ set_complement()

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

Implements SymEngine::Set.

Definition at line 462 of file sets.cpp.

463{
464 if (is_a<EmptySet>(*o) or is_a<Rationals>(*o) or is_a<Integers>(*o)
465 or is_a<Naturals>(*o) or is_a<Naturals0>(*o)) {
466 return emptyset();
467 }
468 if (is_a<UniversalSet>(*o) or is_a<Complexes>(*o) or is_a<Reals>(*o)
469 or is_a<Interval>(*o)) {
470 return make_rcp<const Complement>(o, rationals());
471 }
472 return SymEngine::set_complement_helper(rcp_from_this_cast<const Set>(), o);
473}
SymEngine::emptyset
RCP< const EmptySet > emptyset()
Definition: sets.h:590
SymEngine::rationals
RCP< const Rationals > rationals()
Definition: sets.h:566

◆ set_intersection()

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

Implements SymEngine::Set.

Definition at line 437 of file sets.cpp.

438{
439 if (is_a<EmptySet>(*o) or is_a<Rationals>(*o) or is_a<Integers>(*o)
440 or is_a<Naturals>(*o) or is_a<Naturals0>(*o)) {
441 return o;
442 } else if (is_a<FiniteSet>(*o) or is_a<Reals>(*o) or is_a<Complexes>(*o)) {
443 return (*o).set_intersection(rcp_from_this_cast<const Set>());
444 } else {
445 return SymEngine::set_intersection(
446 {rcp_from_this_cast<const Set>(), o});
447 }
448}

◆ set_union()

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

Implements SymEngine::Set.

Definition at line 450 of file sets.cpp.

451{
452 if (is_a<EmptySet>(*o) or is_a<Integers>(*o) or is_a<Rationals>(*o)
453 or is_a<Naturals>(*o) or is_a<Naturals0>(*o)) {
454 return rationals();
455 } else if (is_a<FiniteSet>(*o) or is_a<Reals>(*o) or is_a<Complexes>(*o)) {
456 return (*o).set_union(rcp_from_this_cast<const Set>());
457 } else {
458 return SymEngine::set_union({rcp_from_this_cast<const Set>(), o});
459 }
460}

Friends And Related Function 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::Rationals::type_code_id = SYMENGINE_RATIONALS
static

Type_code_id shared by all instances

Definition at line 261 of file sets.h.

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