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SymEngine::Complex Class Reference

Complex Class. More...

#include <complex.h>

+ Inheritance diagram for SymEngine::Complex:
+ Collaboration diagram for SymEngine::Complex:

Public Member Functions

virtual void accept (Visitor &v) const
 
virtual void accept (EvalRealDoubleVisitorFinal &v) const
 
 Complex (rational_class real, rational_class imaginary)
 Constructor of Complex class. More...
 
bool is_canonical (const rational_class &real, const rational_class &imaginary) const
 
virtual hash_t __hash__ () const
 
virtual bool __eq__ (const Basic &o) const
 
virtual int compare (const Basic &o) const
 
virtual RCP< const Numberreal_part () const
 Get the real part of the complex number. More...
 
virtual RCP< const Numberimaginary_part () const
 Get the imaginary part of the complex number. More...
 
virtual RCP< const Basicconjugate () const
 Get the conjugate of the complex number. More...
 
virtual bool is_positive () const
 
virtual bool is_negative () const
 
virtual bool is_complex () const
 
virtual bool is_zero () const
 
virtual bool is_one () const
 
virtual bool is_minus_one () const
 
RCP< const Numberaddcomp (const Complex &other) const
 
RCP< const Numberaddcomp (const Rational &other) const
 
RCP< const Numberaddcomp (const Integer &other) const
 
RCP< const Numbersubcomp (const Complex &other) const
 
RCP< const Numbersubcomp (const Rational &other) const
 
RCP< const Numbersubcomp (const Integer &other) const
 
RCP< const Numberrsubcomp (const Complex &other) const
 
RCP< const Numberrsubcomp (const Rational &other) const
 
RCP< const Numberrsubcomp (const Integer &other) const
 
RCP< const Numbermulcomp (const Complex &other) const
 
RCP< const Numbermulcomp (const Rational &other) const
 
RCP< const Numbermulcomp (const Integer &other) const
 
RCP< const Numberdivcomp (const Complex &other) const
 
RCP< const Numberdivcomp (const Rational &other) const
 
RCP< const Numberdivcomp (const Integer &other) const
 
RCP< const Numberrdivcomp (const Integer &other) const
 
RCP< const Numberpowcomp (const Integer &other) const
 
virtual RCP< const Numberadd (const Number &other) const
 Converts the param other appropriately and then calls addcomp More...
 
virtual RCP< const Numbersub (const Number &other) const
 Converts the param other appropriately and then calls subcomp More...
 
virtual RCP< const Numberrsub (const Number &other) const
 Converts the param other appropriately and then calls rsubcomp More...
 
virtual RCP< const Numbermul (const Number &other) const
 Converts the param other appropriately and then calls mulcomp More...
 
virtual RCP< const Numberdiv (const Number &other) const
 Converts the param other appropriately and then calls divcomp More...
 
virtual RCP< const Numberrdiv (const Number &other) const
 Converts the param other appropriately and then calls rdivcomp More...
 
virtual RCP< const Numberpow (const Number &other) const
 Converts the param other appropriately and then calls powcomp More...
 
virtual RCP< const Numberrpow (const Number &other) const
 
- Public Member Functions inherited from SymEngine::ComplexBase
virtual RCP< const Numberreal_part () const =0
 
virtual RCP< const Numberimaginary_part () const =0
 
bool is_re_zero () const
 
- Public Member Functions inherited from SymEngine::Number
virtual bool is_zero () const =0
 
virtual bool is_one () const =0
 
virtual bool is_minus_one () const =0
 
virtual bool is_negative () const =0
 
virtual bool is_positive () const =0
 
virtual bool is_complex () const =0
 
virtual RCP< const Basicconjugate () const
 
virtual bool is_exact () const
 return true if the number is an exact representation More...
 
bool is_exact_zero () const
 
virtual Evaluateget_eval () const
 Get Evaluate singleton to evaluate numerically. More...
 
virtual RCP< const Numberadd (const Number &other) const =0
 Addition. More...
 
virtual RCP< const Numbersub (const Number &other) const
 Subtraction. More...
 
virtual RCP< const Numberrsub (const Number &other) const
 
virtual RCP< const Numbermul (const Number &other) const =0
 Multiplication. More...
 
virtual RCP< const Numberdiv (const Number &other) const
 Division. More...
 
virtual RCP< const Numberrdiv (const Number &other) const
 
virtual RCP< const Numberpow (const Number &other) const =0
 Power. More...
 
virtual RCP< const Numberrpow (const Number &other) const =0
 
virtual vec_basic get_args () const
 Returns the list of arguments. More...
 
virtual bool is_perfect_power (bool is_expected=false) const
 
virtual bool nth_root (const Ptr< RCP< const Number > > &, unsigned long n) const
 
- Public Member Functions inherited from SymEngine::Basic
TypeID get_type_code () const
 
 Basic ()
 Constructor. More...
 
 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.
 
virtual hash_t __hash__ () const =0
 
hash_t hash () const
 
virtual bool __eq__ (const Basic &o) const =0
 Test equality. More...
 
bool __neq__ (const Basic &o) const
 true if this is not equal to o. More...
 
int __cmp__ (const Basic &o) const
 Comparison operator. More...
 
virtual int compare (const Basic &o) const =0
 
std::string __str__ () const
 
std::string dumps () const
 Returns a string of the instance serialized. More...
 
RCP< const Basicsubs (const map_basic_basic &subs_dict) const
 Substitutes 'subs_dict' into 'self'. More...
 
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 More...
 
virtual vec_basic get_args () const =0
 Returns the list of arguments. More...
 
virtual void accept (Visitor &v) const =0
 
virtual void accept (EvalRealDoubleVisitorFinal &v) const =0
 
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) More...
 
RCP< const Basicrcp_from_this () const
 Get RCP<const T> pointer to self (it will cast the pointer to const T) More...
 
RCP< const T2 > rcp_from_this_cast () const
 Get RCP<T2> pointer to self (it will cast the pointer to T2) More...
 
unsigned int use_count () const
 

Static Public Member Functions

static RCP< const Numberfrom_mpq (const rational_class re, const rational_class im)
 
static RCP< const Numberfrom_two_rats (const Rational &re, const Rational &im)
 
static RCP< const Numberfrom_two_nums (const Number &re, const Number &im)
 
- Static Public Member Functions inherited from SymEngine::Basic
static RCP< const Basicloads (const std::string &)
 Creates an instance of a serialized string. More...
 

Data Fields

rational_class real_
 
rational_class imaginary_
 
- Data Fields inherited from SymEngine::Basic
TypeID type_code_
 

Static Public Attributes

static const TypeID type_code_id = SYMENGINE_COMPLEX
 

Detailed Description

Complex Class.

Definition at line 32 of file complex.h.

Constructor & Destructor Documentation

◆ Complex()

SymEngine::Complex::Complex ( rational_class  real,
rational_class  imaginary 
)

Constructor of Complex class.

Definition at line 12 of file complex.cpp.

13 : real_{real}, imaginary_{imaginary}
14{
15 SYMENGINE_ASSIGN_TYPEID()
16 SYMENGINE_ASSERT(is_canonical(this->real_, this->imaginary_))
17}
rational_class real_
Definition: complex.h:38
bool is_canonical(const rational_class &real, const rational_class &imaginary) const
Definition: complex.cpp:19

Member Function Documentation

◆ __eq__()

bool SymEngine::Complex::__eq__ ( const Basic o) const
virtual

Equality comparator

Parameters
o- Object to be compared with
Returns
whether the 2 objects are equal

Implements SymEngine::Basic.

Definition at line 53 of file complex.cpp.

54{
55 if (is_a<Complex>(o)) {
56 const Complex &s = down_cast<const Complex &>(o);
57 return ((this->real_ == s.real_)
58 and (this->imaginary_ == s.imaginary_));
59 }
60 return false;
61}
Complex(rational_class real, rational_class imaginary)
Constructor of Complex class.
Definition: complex.cpp:12

◆ __hash__()

hash_t SymEngine::Complex::__hash__ ( ) const
virtual
Returns
size of the hash

Implements SymEngine::Basic.

Definition at line 41 of file complex.cpp.

42{
43 // only the least significant bits that fit into "signed long int" are
44 // hashed:
45 hash_t seed = SYMENGINE_COMPLEX;
46 hash_combine<long long int>(seed, mp_get_si(get_num(this->real_)));
47 hash_combine<long long int>(seed, mp_get_si(get_den(this->real_)));
48 hash_combine<long long int>(seed, mp_get_si(get_num(this->imaginary_)));
49 hash_combine<long long int>(seed, mp_get_si(get_den(this->imaginary_)));
50 return seed;
51}

◆ accept() [1/2]

virtual void SymEngine::Complex::accept ( EvalRealDoubleVisitorFinal v) const
virtual

Implements SymEngine::Basic.

◆ accept() [2/2]

virtual void SymEngine::Complex::accept ( Visitor v) const
virtual

Implements SymEngine::Basic.

◆ add()

virtual RCP< const Number > SymEngine::Complex::add ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls addcomp

Implements SymEngine::Number.

Definition at line 307 of file complex.h.

308 {
309 if (is_a<Rational>(other)) {
310 return addcomp(down_cast<const Rational &>(other));
311 } else if (is_a<Integer>(other)) {
312 return addcomp(down_cast<const Integer &>(other));
313 } else if (is_a<Complex>(other)) {
314 return addcomp(down_cast<const Complex &>(other));
315 } else {
316 return other.add(*this);
317 }
318 };
RCP< const Number > addcomp(const Complex &other) const
Definition: complex.h:117

◆ addcomp() [1/3]

RCP< const Number > SymEngine::Complex::addcomp ( const Complex other) const
inline

Add Complex

Parameters
otherof type Complex

Definition at line 117 of file complex.h.

118 {
119 return from_mpq(this->real_ + other.real_,
120 this->imaginary_ + other.imaginary_);
121 }
static RCP< const Number > from_mpq(const rational_class re, const rational_class im)
Definition: complex.cpp:93

◆ addcomp() [2/3]

RCP< const Number > SymEngine::Complex::addcomp ( const Integer other) const
inline

Add Complex

Parameters
otherof type Integer

Definition at line 133 of file complex.h.

134 {
135 return from_mpq(this->real_ + other.as_integer_class(),
136 this->imaginary_);
137 }

◆ addcomp() [3/3]

RCP< const Number > SymEngine::Complex::addcomp ( const Rational other) const
inline

Add Complex

Parameters
otherof type Rational

Definition at line 125 of file complex.h.

126 {
127 return from_mpq(this->real_ + other.as_rational_class(),
128 this->imaginary_);
129 }

◆ compare()

int SymEngine::Complex::compare ( const Basic o) const
virtual

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 63 of file complex.cpp.

64{
65 SYMENGINE_ASSERT(is_a<Complex>(o))
66 const Complex &s = down_cast<const Complex &>(o);
67 if (real_ == s.real_) {
68 if (imaginary_ == s.imaginary_) {
69 return 0;
70 } else {
71 return imaginary_ < s.imaginary_ ? -1 : 1;
72 }
73 } else {
74 return real_ < s.real_ ? -1 : 1;
75 }
76}

◆ conjugate()

RCP< const Basic > SymEngine::Complex::conjugate ( ) const
virtual

Get the conjugate of the complex number.

Reimplemented from SymEngine::Number.

Definition at line 88 of file complex.cpp.

89{
90 return Complex::from_mpq(real_, -imaginary_);
91}

◆ div()

virtual RCP< const Number > SymEngine::Complex::div ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls divcomp

Reimplemented from SymEngine::Number.

Definition at line 357 of file complex.h.

358 {
359 if (is_a<Rational>(other)) {
360 return divcomp(down_cast<const Rational &>(other));
361 } else if (is_a<Integer>(other)) {
362 return divcomp(down_cast<const Integer &>(other));
363 } else if (is_a<Complex>(other)) {
364 return divcomp(down_cast<const Complex &>(other));
365 } else {
366 return other.rdiv(*this);
367 }
368 };
RCP< const Number > divcomp(const Complex &other) const
Definition: complex.h:217

◆ divcomp() [1/3]

RCP< const Number > SymEngine::Complex::divcomp ( const Complex other) const
inline

Divide Complex

Parameters
otherof type Complex

Definition at line 217 of file complex.h.

218 {
219 rational_class modulus_sq_other
220 = other.real_ * other.real_ + other.imaginary_ * other.imaginary_;
221
222 if (get_num(modulus_sq_other) == 0) {
223 rational_class modulus_sq_this
224 = this->real_ * this->real_
225 + this->imaginary_ * this->imaginary_;
226 if (get_num(modulus_sq_this) == 0) {
227 return Nan;
228 } else {
229 return ComplexInf;
230 }
231 } else {
232 return from_mpq((this->real_ * other.real_
233 + this->imaginary_ * other.imaginary_)
234 / modulus_sq_other,
235 (-this->real_ * other.imaginary_
236 + this->imaginary_ * other.real_)
237 / modulus_sq_other);
238 }
239 }

◆ divcomp() [2/3]

RCP< const Number > SymEngine::Complex::divcomp ( const Integer other) const
inline

Divide Complex

Parameters
otherof type Integer

Definition at line 263 of file complex.h.

264 {
265 if (other.is_zero()) {
266 rational_class modulus_sq_this
267 = this->real_ * this->real_
268 + this->imaginary_ * this->imaginary_;
269
270 if (get_num(modulus_sq_this) == 0) {
271 return Nan;
272 } else {
273 return ComplexInf;
274 }
275 } else {
276 return from_mpq(this->real_ / other.as_integer_class(),
277 this->imaginary_ / other.as_integer_class());
278 }
279 }

◆ divcomp() [3/3]

RCP< const Number > SymEngine::Complex::divcomp ( const Rational other) const
inline

Divide Complex

Parameters
otherof type Rational

Definition at line 243 of file complex.h.

244 {
245 if (other.is_zero()) {
246 rational_class modulus_sq_this
247 = this->real_ * this->real_
248 + this->imaginary_ * this->imaginary_;
249
250 if (get_num(modulus_sq_this) == 0) {
251 return Nan;
252 } else {
253 return ComplexInf;
254 }
255 } else {
256 return from_mpq(this->real_ / other.as_rational_class(),
257 this->imaginary_ / other.as_rational_class());
258 }
259 }

◆ from_mpq()

RCP< const Number > SymEngine::Complex::from_mpq ( const rational_class  re,
const rational_class  im 
)
static

Creates an instance of Complex if imaginary part is non-zero

Parameters
`re`must already be in rational_class canonical form
`im`must already be in rational_class canonical form
Returns
Complex or Rational depending on imaginary part.

Definition at line 93 of file complex.cpp.

95{
96 // It is assumed that `re` and `im` are already in canonical form.
97 if (get_num(im) == 0) {
98 return Rational::from_mpq(re);
99 } else {
100 return make_rcp<const Complex>(re, im);
101 }
102}
static RCP< const Number > from_mpq(const rational_class &i)
Definition: rational.cpp:23

◆ from_two_nums()

RCP< const Number > SymEngine::Complex::from_two_nums ( const Number re,
const Number im 
)
static

Constructs Complex from re, im. If im is 0 it will return a Rational instead.

Definition at line 109 of file complex.cpp.

110{
111 if (is_a<Integer>(re) and is_a<Integer>(im)) {
112 rational_class re_mpq(
113 down_cast<const Integer &>(re).as_integer_class(),
114 down_cast<const Integer &>(*one).as_integer_class());
115 rational_class im_mpq(
116 down_cast<const Integer &>(im).as_integer_class(),
117 down_cast<const Integer &>(*one).as_integer_class());
118 return Complex::from_mpq(re_mpq, im_mpq);
119 } else if (is_a<Rational>(re) and is_a<Integer>(im)) {
120 rational_class re_mpq
121 = down_cast<const Rational &>(re).as_rational_class();
122 rational_class im_mpq(
123 down_cast<const Integer &>(im).as_integer_class(),
124 down_cast<const Integer &>(*one).as_integer_class());
125 return Complex::from_mpq(re_mpq, im_mpq);
126 } else if (is_a<Integer>(re) and is_a<Rational>(im)) {
127 rational_class re_mpq(
128 down_cast<const Integer &>(re).as_integer_class(),
129 down_cast<const Integer &>(*one).as_integer_class());
130 rational_class im_mpq
131 = down_cast<const Rational &>(im).as_rational_class();
132 return Complex::from_mpq(re_mpq, im_mpq);
133 } else if (is_a<Rational>(re) and is_a<Rational>(im)) {
134 rational_class re_mpq
135 = down_cast<const Rational &>(re).as_rational_class();
136 rational_class im_mpq
137 = down_cast<const Rational &>(im).as_rational_class();
138 return Complex::from_mpq(re_mpq, im_mpq);
139 } else {
140 throw SymEngineException(
141 "Invalid Format: Expected Integer or Rational");
142 }
143}

◆ from_two_rats()

RCP< const Number > SymEngine::Complex::from_two_rats ( const Rational re,
const Rational im 
)
static

Constructs Complex from re, im. If im is 0 it will return a Rational instead.

Definition at line 104 of file complex.cpp.

105{
106 return Complex::from_mpq(re.as_rational_class(), im.as_rational_class());
107}

◆ imaginary_part()

RCP< const Number > SymEngine::Complex::imaginary_part ( ) const
virtual

Get the imaginary part of the complex number.

Implements SymEngine::ComplexBase.

Definition at line 83 of file complex.cpp.

84{
85 return Rational::from_mpq(imaginary_);
86}

◆ is_canonical()

bool SymEngine::Complex::is_canonical ( const rational_class &  real,
const rational_class &  imaginary 
) const
Returns
true if canonical

Definition at line 19 of file complex.cpp.

21{
22 rational_class re = real;
23 rational_class im = imaginary;
24 canonicalize(re);
25 canonicalize(im);
26 // If 'im' is 0, it should not be Complex:
27 if (get_num(im) == 0)
28 return false;
29 // if 'real' or `imaginary` are not in canonical form:
30 if (get_num(re) != get_num(real))
31 return false;
32 if (get_den(re) != get_den(real))
33 return false;
34 if (get_num(im) != get_num(imaginary))
35 return false;
36 if (get_den(im) != get_den(imaginary))
37 return false;
38 return true;
39}

◆ is_complex()

virtual bool SymEngine::Complex::is_complex ( ) const
inlinevirtual
Returns
true

Implements SymEngine::Number.

Definition at line 82 of file complex.h.

83 {
84 return true;
85 }

◆ is_minus_one()

virtual bool SymEngine::Complex::is_minus_one ( ) const
inlinevirtual
Returns
false since imaginary_ cannot be zero

Implements SymEngine::Number.

Definition at line 109 of file complex.h.

110 {
111 return false;
112 }

◆ is_negative()

virtual bool SymEngine::Complex::is_negative ( ) const
inlinevirtual
Returns
false

Implements SymEngine::Number.

Definition at line 77 of file complex.h.

78 {
79 return false;
80 }

◆ is_one()

virtual bool SymEngine::Complex::is_one ( ) const
inlinevirtual
Returns
false since imaginary_ cannot be zero

Implements SymEngine::Number.

Definition at line 104 of file complex.h.

105 {
106 return false;
107 }

◆ is_positive()

virtual bool SymEngine::Complex::is_positive ( ) const
inlinevirtual
Returns
false

Implements SymEngine::Number.

Definition at line 71 of file complex.h.

72 {
73 return false;
74 }

◆ is_zero()

virtual bool SymEngine::Complex::is_zero ( ) const
inlinevirtual
Returns
false since imaginary_ cannot be zero

Implements SymEngine::Number.

Definition at line 99 of file complex.h.

100 {
101 return false;
102 }

◆ mul()

virtual RCP< const Number > SymEngine::Complex::mul ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls mulcomp

Implements SymEngine::Number.

Definition at line 344 of file complex.h.

345 {
346 if (is_a<Rational>(other)) {
347 return mulcomp(down_cast<const Rational &>(other));
348 } else if (is_a<Integer>(other)) {
349 return mulcomp(down_cast<const Integer &>(other));
350 } else if (is_a<Complex>(other)) {
351 return mulcomp(down_cast<const Complex &>(other));
352 } else {
353 return other.mul(*this);
354 }
355 };
RCP< const Number > mulcomp(const Complex &other) const
Definition: complex.h:191

◆ mulcomp() [1/3]

RCP< const Number > SymEngine::Complex::mulcomp ( const Complex other) const
inline

Multiply Complex

Parameters
otherof type Complex

Definition at line 191 of file complex.h.

192 {
193 return from_mpq(
194 this->real_ * other.real_ - this->imaginary_ * other.imaginary_,
195 this->real_ * other.imaginary_ + this->imaginary_ * other.real_);
196 }

◆ mulcomp() [2/3]

RCP< const Number > SymEngine::Complex::mulcomp ( const Integer other) const
inline

Multiply Complex

Parameters
otherof type Integer

Definition at line 208 of file complex.h.

209 {
210 return from_mpq(this->real_ * other.as_integer_class(),
211 this->imaginary_ * other.as_integer_class());
212 }

◆ mulcomp() [3/3]

RCP< const Number > SymEngine::Complex::mulcomp ( const Rational other) const
inline

Multiply Complex

Parameters
otherof type Rational

Definition at line 200 of file complex.h.

201 {
202 return from_mpq(this->real_ * other.as_rational_class(),
203 this->imaginary_ * other.as_rational_class());
204 }

◆ pow()

virtual RCP< const Number > SymEngine::Complex::pow ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls powcomp

Implements SymEngine::Number.

Definition at line 379 of file complex.h.

380 {
381 if (is_a<Integer>(other)) {
382 return powcomp(down_cast<const Integer &>(other));
383 } else {
384 return other.rpow(*this);
385 }
386 };
RCP< const Number > powcomp(const Integer &other) const
Definition: complex.cpp:175

◆ powcomp()

RCP< const Number > SymEngine::Complex::powcomp ( const Integer other) const

Pow Complex

Parameters
otherof type Integer

Definition at line 175 of file complex.cpp.

176{
177 if (this->is_re_zero()) {
178 // Imaginary Number raised to an integer power.
179 RCP<const Number> im = Rational::from_mpq(this->imaginary_);
180 long rem = mod_f(other, *integer(4))->as_int();
181 RCP<const Number> res;
182 if (rem == 0) {
183 res = one;
184 } else if (rem == 1) {
185 res = I;
186 } else if (rem == 2) {
187 res = minus_one;
188 } else {
189 res = mulnum(I, minus_one);
190 }
191 return mulnum(im->pow(other), res);
192 } else if (other.is_positive()) {
193 return pow_number(*this, other.as_int());
194 } else {
195 return one->div(*pow_number(*this, -1 * other.as_int()));
196 }
197}
RCP< const Integer > mod_f(const Integer &n, const Integer &d)
modulo round toward -inf
Definition: ntheory.cpp:86
std::enable_if< std::is_integral< T >::value, RCP< constInteger > >::type integer(T i)
Definition: integer.h:200
RCP< const Number > mulnum(const RCP< const Number > &self, const RCP< const Number > &other)
Multiply self and other
Definition: number.h:93

◆ rdiv()

virtual RCP< const Number > SymEngine::Complex::rdiv ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls rdivcomp

Reimplemented from SymEngine::Number.

Definition at line 370 of file complex.h.

371 {
372 if (is_a<Integer>(other)) {
373 return rdivcomp(down_cast<const Integer &>(other));
374 } else {
375 throw NotImplementedError("Not Implemented");
376 }
377 };
RCP< const Number > rdivcomp(const Integer &other) const
Definition: complex.h:283

◆ rdivcomp()

RCP< const Number > SymEngine::Complex::rdivcomp ( const Integer other) const
inline

Divide other by the Complex

Parameters
otherof type Integer

Definition at line 283 of file complex.h.

284 {
285 rational_class modulus_sq_this
286 = this->real_ * this->real_ + this->imaginary_ * this->imaginary_;
287
288 if (get_num(modulus_sq_this) == 0) {
289 if (other.is_zero()) {
290 return Nan;
291 } else {
292 return ComplexInf;
293 }
294 } else {
295 return from_mpq((this->real_ * other.as_integer_class())
296 / modulus_sq_this,
297 (this->imaginary_ * (-other.as_integer_class()))
298 / modulus_sq_this);
299 }
300 }

◆ real_part()

RCP< const Number > SymEngine::Complex::real_part ( ) const
virtual

Get the real part of the complex number.

Implements SymEngine::ComplexBase.

Definition at line 78 of file complex.cpp.

79{
81}

◆ rpow()

virtual RCP< const Number > SymEngine::Complex::rpow ( const Number other) const
inlinevirtual

Implements SymEngine::Number.

Definition at line 388 of file complex.h.

389 {
390 throw NotImplementedError("Not Implemented");
391 };

◆ rsub()

virtual RCP< const Number > SymEngine::Complex::rsub ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls rsubcomp

Reimplemented from SymEngine::Number.

Definition at line 333 of file complex.h.

334 {
335 if (is_a<Rational>(other)) {
336 return rsubcomp(down_cast<const Rational &>(other));
337 } else if (is_a<Integer>(other)) {
338 return rsubcomp(down_cast<const Integer &>(other));
339 } else {
340 throw NotImplementedError("Not Implemented");
341 }
342 };
RCP< const Number > rsubcomp(const Complex &other) const
Definition: complex.h:166

◆ rsubcomp() [1/3]

RCP< const Number > SymEngine::Complex::rsubcomp ( const Complex other) const
inline

Subtract Complex from other

Parameters
otherof type Complex

Definition at line 166 of file complex.h.

167 {
168 return from_mpq(other.real_ - this->real_,
169 other.imaginary_ - this->imaginary_);
170 }

◆ rsubcomp() [2/3]

RCP< const Number > SymEngine::Complex::rsubcomp ( const Integer other) const
inline

Subtract Complex from other

Parameters
otherof type Integer

Definition at line 182 of file complex.h.

183 {
184 return from_mpq(other.as_integer_class() - this->real_,
185 -this->imaginary_);
186 }

◆ rsubcomp() [3/3]

RCP< const Number > SymEngine::Complex::rsubcomp ( const Rational other) const
inline

Subtract Complex from other

Parameters
otherof type Rational

Definition at line 174 of file complex.h.

175 {
176 return from_mpq(other.as_rational_class() - this->real_,
177 -this->imaginary_);
178 }

◆ sub()

virtual RCP< const Number > SymEngine::Complex::sub ( const Number other) const
inlinevirtual

Converts the param other appropriately and then calls subcomp

Reimplemented from SymEngine::Number.

Definition at line 320 of file complex.h.

321 {
322 if (is_a<Rational>(other)) {
323 return subcomp(down_cast<const Rational &>(other));
324 } else if (is_a<Integer>(other)) {
325 return subcomp(down_cast<const Integer &>(other));
326 } else if (is_a<Complex>(other)) {
327 return subcomp(down_cast<const Complex &>(other));
328 } else {
329 return other.rsub(*this);
330 }
331 };
RCP< const Number > subcomp(const Complex &other) const
Definition: complex.h:142

◆ subcomp() [1/3]

RCP< const Number > SymEngine::Complex::subcomp ( const Complex other) const
inline

Subtract Complex

Parameters
otherof type Complex

Definition at line 142 of file complex.h.

143 {
144 return from_mpq(this->real_ - other.real_,
145 this->imaginary_ - other.imaginary_);
146 }

◆ subcomp() [2/3]

RCP< const Number > SymEngine::Complex::subcomp ( const Integer other) const
inline

Subtract Complex

Parameters
otherof type Integer

Definition at line 158 of file complex.h.

159 {
160 return from_mpq(this->real_ - other.as_integer_class(),
161 this->imaginary_);
162 }

◆ subcomp() [3/3]

RCP< const Number > SymEngine::Complex::subcomp ( const Rational other) const
inline

Subtract Complex

Parameters
otherof type Rational

Definition at line 150 of file complex.h.

151 {
152 return from_mpq(this->real_ - other.as_rational_class(),
153 this->imaginary_);
154 }

Field Documentation

◆ imaginary_

rational_class SymEngine::Complex::imaginary_

Definition at line 39 of file complex.h.

◆ real_

rational_class SymEngine::Complex::real_

real_ : Real part of the complex Number imaginary_ : Imaginary part of the complex Number

Definition at line 38 of file complex.h.

◆ type_code_id

const TypeID SymEngine::Complex::type_code_id = SYMENGINE_COMPLEX
static

Type_code_id shared by all instances

Definition at line 42 of file complex.h.


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