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Showing content from https://TheAlgorithms.github.io/C-Plus-Plus/d5/d67/complex__numbers_8cpp_source.html below:

TheAlgorithms/C++: math/complex_numbers.cpp Source File

43 explicit Complex

(

double

x = 0.f,

double

y = 0.f,

bool

is_polar =

false

) {

64 double real

()

const

{

return

this->re; }

70 double imag

()

const

{

return

this->im; }

80 return

std::sqrt(this->re * this->re + this->im * this->im);

87 double arg

()

const

{

return

std::atan2(this->im, this->re); }

96 Complex

result(this->re + other.re, this->im + other.im);

107 Complex

result(this->re - other.re, this->im - other.im);

118 Complex

result(this->re * other.re - this->im * other.im,

119

this->re * other.im + this->im * other.re);

131 Complex

result(this->re, -(this->im));

143 Complex

result = *

this

* ~other;

146 if

(denominator != 0) {

147

result =

Complex

(result.real() / denominator,

148

result.imag() / denominator);

151 throw

std::invalid_argument(

"Undefined Value"

);

161

this->re = other.

real

();

162

this->im = other.

imag

();

176 return

a.real() == b.

real

() && a.imag() == b.

imag

();

187

os <<

"("

<< num.

real

();

188 if

(num.

imag

() < 0) {

189

os <<

" - "

<< -num.

imag

();

191

os <<

" + "

<< num.

imag

();

201double get_rand

() {

return

(std::rand() % 100 - 50) / 100.f; }

207

std::srand(std::time(

nullptr

));

209 Complex

num1(x1, y1), num2(x2, y2);

210

std::complex<double> cnum1(x1, y1), cnum2(x2, y2);

212

std::complex<double> expected;

214

result = num1 + num2;

215

expected = cnum1 + cnum2;

216

assert(((

void

)

"1 + 1i + 1 + 1i is equal to 2 + 2i but the addition doesn't " 218

(result.real() == expected.real() &&

219

result.imag() == expected.imag())));

220

std::cout <<

"First test passes."

<< std::endl;

222

result = num1 - num2;

223

expected = cnum1 - cnum2;

224

assert(((

void

)

"1 + 1i - 1 - 1i is equal to 0 but the program says " 226

(result.real() == expected.real() &&

227

result.imag() == expected.imag())));

228

std::cout <<

"Second test passes."

<< std::endl;

230

result = num1 * num2;

231

expected = cnum1 * cnum2;

232

assert(((

void

)

"(1 + 1i) * (1 + 1i) is equal to 2i but the program says " 234

(result.real() == expected.real() &&

235

result.imag() == expected.imag())));

236

std::cout <<

"Third test passes."

<< std::endl;

238

result = num1 / num2;

239

expected = cnum1 / cnum2;

240

assert(((

void

)

"(1 + 1i) / (1 + 1i) is equal to 1 but the program says " 242

(result.real() == expected.real() &&

243

result.imag() == expected.imag())));

244

std::cout <<

"Fourth test passes."

<< std::endl;

247

expected = std::conj(cnum1);

248

assert(((

void

)

"(1 + 1i) has a conjugate which is equal to (1 - 1i) but the " 249 "program says otherwise.\n"

250

(result.real() == expected.real() &&

251

result.imag() == expected.imag())));

252

std::cout <<

"Fifth test passes.\n"

;

254

assert(((

void

)

"(1 + 1i) has argument PI / 4 but the program differs from " 255 "the std::complex result.\n"

256

(num1.arg() == std::arg(cnum1))));

257

std::cout <<

"Sixth test passes.\n"

;

259

assert(((

void

)

"(1 + 1i) has absolute value sqrt(2) but the program differs " 260 "from the std::complex result. \n"

261

(num1.abs() == std::abs(cnum1))));

262

std::cout <<

"Seventh test passes.\n"

;

Class Complex to represent complex numbers as a field.

double real() const

Member function to get real value of our complex number. Member function (getter) to access the class...

Complex operator-(const Complex &other)

Operator overload of '-' on Complex class. Operator overload to be able to subtract two complex numbe...

Complex(double x=0.f, double y=0.f, bool is_polar=false)

Complex Constructor which initialises our complex number.

Complex(const Complex &other)

Copy Constructor.

const Complex & operator=(const Complex &other)

Operator overload of '=' on Complex class. Operator overload to be able to copy RHS instance of Compl...

Complex operator+(const Complex &other)

Operator overload of '+' on Complex class. Operator overload to be able to add two complex numbers.

Complex operator~() const

Operator overload of '~' on Complex class. Operator overload of the BITWISE NOT which gives us the co...

Complex operator*(const Complex &other)

Operator overload of '*' on Complex class. Operator overload to be able to multiple two complex numbe...

Complex operator/(const Complex &other)

Operator overload of '/' on Complex class. Operator overload to be able to divide two complex numbers...

double arg() const

Member function to give the argument of our complex number.

double abs() const

Member function to give the modulus of our complex number. Member function to which gives the absolut...

double imag() const

Member function to get imaginary value of our complex number. Member function (getter) to access the ...

std::ostream & operator<<(std::ostream &os, const Complex &num)

Operator overload of '<<' of ostream for Complex class. Overloaded insersion operator to accommodate ...

bool operator==(const Complex &a, const Complex &b)

Operator overload of '==' on Complex class. Logical Equal overload for our Complex class.

double get_rand()

Function to get random numbers to generate our complex numbers for test.

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