version: 1.10

## package cmplx

import "math/cmplx"

## Overview

Package cmplx provides basic constants and mathematical functions for complex
numbers.

## func Abs¶

func Abs(x complex128) float64

Abs returns the absolute value (also called the modulus) of x.

Example:

fmt.Printf("%.1f", cmplx.Abs(3+4i))// Output: 5.0

## func Acos¶

func Acos(x complex128) complex128

Acos returns the inverse cosine of x.

## func Acosh¶

func Acosh(x complex128) complex128

Acosh returns the inverse hyperbolic cosine of x.

## func Asin¶

func Asin(x complex128) complex128

Asin returns the inverse sine of x.

## func Asinh¶

func Asinh(x complex128) complex128

Asinh returns the inverse hyperbolic sine of x.

## func Atan¶

func Atan(x complex128) complex128

Atan returns the inverse tangent of x.

## func Atanh¶

func Atanh(x complex128) complex128

Atanh returns the inverse hyperbolic tangent of x.

## func Conj¶

func Conj(x complex128) complex128

Conj returns the complex conjugate of x.

## func Cos¶

func Cos(x complex128) complex128

Cos returns the cosine of x.

## func Cosh¶

func Cosh(x complex128) complex128

Cosh returns the hyperbolic cosine of x.

## func Cot¶

func Cot(x complex128) complex128

Cot returns the cotangent of x.

## func Exp¶

func Exp(x complex128) complex128

Exp returns e**x, the base-e exponential of x.

Example:

fmt.Printf("%.1f", cmplx.Exp(1i*math.Pi)+1)// Output: (0.0+0.0i)

## func Inf¶

func Inf() complex128

Inf returns a complex infinity, complex(+Inf, +Inf).

## func IsInf¶

func IsInf(x complex128) bool

IsInf returns true if either real(x) or imag(x) is an infinity.

## func IsNaN¶

func IsNaN(x complex128) bool

IsNaN returns true if either real(x) or imag(x) is NaN and neither is an
infinity.

## func Log¶

func Log(x complex128) complex128

Log returns the natural logarithm of x.

## func Log10¶

func Log10(x complex128) complex128

Log10 returns the decimal logarithm of x.

## func NaN¶

func NaN() complex128

NaN returns a complex not-a-number’’ value.

## func Phase¶

func Phase(x complex128) float64

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

## func Polar¶

func Polar(x complex128) (r, θ float64)

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].

Example:

r, theta := cmplx.Polar(2i)fmt.Printf("r: %.1f, θ: %.1f*π", r, theta/math.Pi)// Output: r: 2.0, θ: 0.5*π

## func Pow¶

func Pow(x, y complex128) complex128

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

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

## func Rect¶

func Rect(r, θ float64) complex128

Rect returns the complex number x with polar coordinates r, θ.

## func Sin¶

func Sin(x complex128) complex128

Sin returns the sine of x.

## func Sinh¶

func Sinh(x complex128) complex128

Sinh returns the hyperbolic sine of x.

## func Sqrt¶

func Sqrt(x complex128) complex128

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

## func Tan¶

func Tan(x complex128) complex128

Tan returns the tangent of x.

## func Tanh¶

func Tanh(x complex128) complex128

Tanh returns the hyperbolic tangent of x.