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std/math/cmplx ​

Index ​

struct Cmplx
    static fn New(real: f64, imag: f64): Cmplx
    static fn NaN(): Cmplx
    static fn Inf(sign: int): Cmplx
    static fn Zero(): Cmplx
    static fn Rect(r: f64, theta: f64): Cmplx
    fn Sin(self): Cmplx
    fn Sinh(self): Cmplx
    fn Cos(self): Cmplx
    fn Cosh(self): Cmplx
    fn Tan(self): Cmplx
    fn Tanh(self): Cmplx
    fn Cot(self): Cmplx
    fn Real(self): f64
    fn Imag(self): f64
    fn Conj(self): Cmplx
    fn Add(self, c: Cmplx): Cmplx
    fn Sub(self, c: Cmplx): Cmplx
    fn Mul(self, c: Cmplx): Cmplx
    fn Div(self, c: Cmplx): Cmplx
    fn Neg(self): Cmplx
    fn IsInf(self): bool
    fn IsNaN(self): bool
    fn IsZero(self): bool
    fn Log(self): Cmplx
    fn Log10(self): Cmplx
    fn Abs(self): f64
    fn Pow(self, y: Cmplx): Cmplx
    fn Exp(self): Cmplx
    fn Sqrt(self): Cmplx
    fn Polar(self): (r: f64, theta: f64)
    fn Phase(self): f64
    fn Asin(self): Cmplx
    fn Asinh(self): Cmplx
    fn Acos(self): Cmplx
    fn Acosh(self): Cmplx
    fn Atan(self): Cmplx
    fn Atanh(self): Cmplx

Cmplx ​

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struct Cmplx {
	// NOTE: contains filtered hidden or unexported fields
}

Complex number.

New ​

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static fn New(real: f64, imag: f64): Cmplx

Returns new complex number.

NaN ​

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static fn NaN(): Cmplx

Returns NaN complex number.

Inf ​

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static fn Inf(sign: int): Cmplx

Returns Inf complex number. Uses positive infinity if sign >= 0, negative infinity if !sign < 0.

Zero ​

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static fn Zero(): Cmplx

Returns zero complex number.

Rect ​

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static fn Rect(r: f64, theta: f64): Cmplx

Returns the complex number with polar coordinates r, θ.

Sin ​

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fn Sin(self): Cmplx

Returns the sine of complex number.

Sinh ​

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fn Sinh(self): Cmplx

Returns the hyperbolic sine of complex number.

Cos ​

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fn Cos(self): Cmplx

Returns the cosine of complex number.

Cosh ​

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fn Cosh(self): Cmplx

Returns the hyperbolic cosine of complex number.

Tan ​

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fn Tan(self): Cmplx

Returns the tangent of complex number.

Tanh ​

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fn Tanh(self): Cmplx

Returns the hyperbolic tangent of complex number.

Cot ​

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fn Cot(self): Cmplx

Returns the cotangent of complex number.

Real ​

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fn Real(self): f64

Returns real part of complex number.

Imag ​

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fn Imag(self): f64

Returns imaginary part of complex number.

Conj ​

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fn Conj(self): Cmplx

Returns conjugate of complex number.

Add ​

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fn Add(self, c: Cmplx): Cmplx

Returns addition of complex numbers.

Sub ​

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fn Sub(self, c: Cmplx): Cmplx

Returns subtraction of complex numbers.

Mul ​

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fn Mul(self, c: Cmplx): Cmplx

Returns multiplication of complex numbers.

Div ​

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fn Div(self, c: Cmplx): Cmplx

Returns division of complex numbers. Returns NaN complex number if denominator is zero.

Neg ​

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fn Neg(self): Cmplx

Unary minus operator.

IsInf ​

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fn IsInf(self): bool

Reports whether either real or imag is an infinity.

IsNaN ​

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fn IsNaN(self): bool

Reports whether either real or imag is NaN and neither is an infinity.

IsZero ​

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fn IsZero(self): bool

Reports whether real and imag is zero.

Log ​

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fn Log(self): Cmplx

Returns the natural logarithm of complex number.

Log10 ​

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fn Log10(self): Cmplx

Returns the decimal logarithm of complex number.

Abs ​

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fn Abs(self): f64

Returns the absolute value (also called the modulus) of x.

Pow ​

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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.

Exp ​

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fn Exp(self): Cmplx

Returns e**x, the base-e exponential of x.

Sqrt ​

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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().

Polar ​

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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].

Phase ​

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fn Phase(self): f64

Phase returns the phase (also called the argument) of x. The returned value is in the range [-PI, PI].

Asin ​

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fn Asin(self): Cmplx

Returns the inverse sine of complex number.

Asinh ​

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fn Asinh(self): Cmplx

Returns the inverse hyperbolic sine of complex number.

Acos ​

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fn Acos(self): Cmplx

Returns the inverse cosine of complex number.

Acosh ​

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fn Acosh(self): Cmplx

Returns the inverse hyperbolic cosine of complex number.

Atan ​

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fn Atan(self): Cmplx

Returns the inverse tangent of complex number.

Atanh ​

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fn Atanh(self): Cmplx

Returns the inverse hyperbolic tangent of complex number.