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std/math/cmplx ​

Index ​

fn Sin(x: cmplx128): cmplx128
fn Sinh(x: cmplx128): cmplx128
fn Cos(x: cmplx128): cmplx128
fn Cosh(x: cmplx128): cmplx128
fn Tan(x: cmplx128): cmplx128
fn Tanh(x: cmplx128): cmplx128
fn Cot(x: cmplx128): cmplx128
fn Conj(x: cmplx128): cmplx128
fn IsInf(x: cmplx128): bool
fn IsNaN(x: cmplx128): bool
fn NaN(): cmplx128
fn Inf(sign: int): cmplx128
fn Log(x: cmplx128): cmplx128
fn Log10(x: cmplx128): cmplx128
fn Abs(x: cmplx128): f64
fn Rect(r: f64, theta: f64): cmplx128
fn Pow(x: cmplx128, y: cmplx128): cmplx128
fn Exp(x: cmplx128): cmplx128
fn Sqrt(x: cmplx128): cmplx128
fn Polar(x: cmplx128): (r: f64, theta: f64)
fn Phase(x: cmplx128): f64
fn Asin(x: cmplx128): cmplx128
fn Asinh(x: cmplx128): cmplx128
fn Acos(x: cmplx128): cmplx128
fn Acosh(x: cmplx128): cmplx128
fn Atan(x: cmplx128): cmplx128
fn Atanh(x: cmplx128): cmplx128

Sin ​

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fn Sin(x: cmplx128): cmplx128

Returns the sine of complex number.

Sinh ​

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fn Sinh(x: cmplx128): cmplx128

Returns the hyperbolic sine of complex number.

Cos ​

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fn Cos(x: cmplx128): cmplx128

Returns the cosine of complex number.

Cosh ​

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fn Cosh(x: cmplx128): cmplx128

Returns the hyperbolic cosine of complex number.

Tan ​

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fn Tan(x: cmplx128): cmplx128

Returns the tangent of complex number.

Tanh ​

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fn Tanh(x: cmplx128): cmplx128

Returns the hyperbolic tangent of complex number.

Cot ​

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fn Cot(x: cmplx128): cmplx128

Returns the cotangent of complex number.

Conj ​

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fn Conj(x: cmplx128): cmplx128

Returns conjugate of complex number.

IsInf ​

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fn IsInf(x: cmplx128): bool

Reports whether either real or imag is an infinity.

IsNaN ​

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fn IsNaN(x: cmplx128): bool

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

NaN ​

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fn NaN(): cmplx128

Returns NaN complex number.

Inf ​

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fn Inf(sign: int): cmplx128

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

Log ​

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fn Log(x: cmplx128): cmplx128

Returns the natural logarithm of complex number.

Log10 ​

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fn Log10(x: cmplx128): cmplx128

Returns the decimal logarithm of complex number.

Abs ​

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fn Abs(x: cmplx128): f64

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

Rect ​

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fn Rect(r: f64, theta: f64): cmplx128

Returns the complex number with polar coordinates r, θ.

Pow ​

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fn Pow(x: cmplx128, y: cmplx128): cmplx128

Returns x**y, the base-x exponential of y. For generalized compatibility with math::pow:

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

Exp ​

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fn Exp(x: cmplx128): cmplx128

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

Sqrt ​

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fn Sqrt(x: cmplx128): cmplx128

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

Polar ​

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fn Polar(x: cmplx128): (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(x: cmplx128): 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(x: cmplx128): cmplx128

Returns the inverse sine of complex number.

Asinh ​

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fn Asinh(x: cmplx128): cmplx128

Returns the inverse hyperbolic sine of complex number.

Acos ​

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fn Acos(x: cmplx128): cmplx128

Returns the inverse cosine of complex number.

Acosh ​

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fn Acosh(x: cmplx128): cmplx128

Returns the inverse hyperbolic cosine of complex number.

Atan ​

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fn Atan(x: cmplx128): cmplx128

Returns the inverse tangent of complex number.

Atanh ​

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fn Atanh(x: cmplx128): cmplx128

Returns the inverse hyperbolic tangent of complex number.