std/math/cmplx ​

Structures ​

struct Cmplx

Complex number.

Methods:

static fn New(real: f64, imag: f64): Cmplx
Returns new complex number.

static fn Nan(): Cmplx
Returns complex number that assigned to NaN.

static fn Inf(sign: int): Cmplx
Returns Inf complex number. Uses positive infinity if sign >= 0, negative infinity if !sign < 0.

static fn Zero(): Cmplx
Returns zero complex number.

static fn Rect(r: f64, theta: f64): Cmplx
Returns the complex number with polar coordinates r, θ.

fn Real(self): f64
Returns real part of complex number.

fn Imag(self): f64
Returns imag part of complex number.

fn Conj(self): Cmplx
Returns conjugate of complex number.

fn Add(self, c: Cmplx): Cmplx
Returns addition of complex numbers.

fn Sub(self, c: Cmplx): Cmplx
Returns subtraction of complex numbers.

fn Mul(self, c: Cmplx): Cmplx
Returns multiplication of complex numbers.

fn Div(self, c: Cmplx): Cmplx
Returns division of complex numbers.
Returns NaN complex number if denominator is zero.

fn Neg(self): Cmplx
Unary minus operator.

fn IsInf(self): bool
Reports whether either real or imag is an infinity.

fn IsNan(self): bool
Reports whether either real or imag is NaN and neither is an infinity.

fn IsZero(self): bool
Reports whether real and imag is zero.

fn Abs(self): f64
Returns the absolute value (also called the modulus) of x.

fn Sqrt(self): Cmplx
Returns the square root of complex number. The result r is chosen so that r.real() ≥ 0 and r.imag() has the same sign as self.imag().

fn Phase(self): f64
Phase returns the phase (also called the argument) of x. The returned value is in the range [-Pi, Pi].

fn Polar(self): (r: f64, theta: f64)
Polar returns the absolute value r and phase θ of x, such that x = r * e**θi. The phase is in the range [-Pi, Pi].

fn Log(self): Cmplx
Returns the natural logarithm of complex number.

fn Log10(self): Cmplx
Returns the decimal logarithm of complex number.

fn Exp(self): Cmplx
Returns e**x, the base-e exponential of x.

fn Pow(self, y: Cmplx): Cmplx
Returns x**y, the base-x (self) exponential of y. For generalized compatibility with [math::Pow]:

Pow(0, ±0) returns 1+0i
Pow(0, c) for c.real()<0 returns Inf+0i if c.imag() is zero, otherwise Inf+Inf i.

fn Sin(self): Cmplx
Returns the sine of complex number.

fn Sinh(self): Cmplx
Returns the hyperbolic sine of complex number.

fn Cos(self): Cmplx
Returns the cosine of complex number.

fn Cosh(self): Cmplx
Returns the hyperbolic cosine of complex number.

fn Tan(self): Cmplx
Returns the tangent of complex number.

fn Tanh(self): Cmplx
Returns the hyperbolic tangent of complex number.

fn Cot(self): Cmplx
Returns the cotangent of complex number.

fn Asin(self): Cmplx
Returns the inverse sine of complex number.

fn Asinh(self): Cmplx
Returns the inverse hyperbolic sine of complex number.

fn Acos(self): Cmplx
Returns the inverse cosine of complex number.

fn Acosh(self): Cmplx
Returns the inverse hyperbolic cosine of complex number.

fn Atan(self): Cmplx
Returns the inverse tangent of complex number.

fn Atanh(self): Cmplx
Returns the inverse hyperbolic tangent of complex number.