# cmplx

package
Version: v0.0.0-...-8a52383 Latest Latest

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Published: Jan 31, 2019 License: BSD-3-Clause

## Documentation ¶

### Overview ¶

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

### Constants ¶

This section is empty.

### Variables ¶

This section is empty.

### Functions ¶

#### func Abs ¶

func Abs(x complex128) float64

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

Example
package main

import (
"fmt"
"math/cmplx"
)

func main() {
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

ExampleExp computes Euler's identity.

package main

import (
"fmt"
"math"
"math/cmplx"
)

func main() {
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 reports whether either real(x) or imag(x) is an infinity.

#### func IsNaN ¶

func IsNaN(x complex128) bool

IsNaN reports whether 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
package main

import (
"fmt"
"math"
"math/cmplx"
)

func main() {
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+0i
Pow(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.

### Types ¶

This section is empty.

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