cmplx Package in Golang

Go language provides inbuilt support for basic constants and mathematical functions for complex numbers with the help of the cmplx package.

Function	Description
Abs	This function returns the absolute value (also called the modulus) of the specified complex number.
Acos	This function returns the inverse cosine of the specified complex number.
Acosh	This function returns the inverse hyperbolic cosine of the specified complex number.
Asin	This function returns the inverse sine of the specified complex number.
Asinh	This function returns the inverse hyperbolic sine of the specified complex number.
Atan	This function returns the inverse tangent of the specified complex number.
Atanh	This function returns the inverse hyperbolic tangent of the specified complex number.
Conj	This function returns the complex conjugate of the specified complex number.
Cos	This function is used to return the cosine of the specified complex number.
Cosh	This function returns the hyperbolic cosine of the specified complex number.
Cot	This function returns the cotangent of the specified complex number.
Exp	This function returns e**x, the base-e exponential of the specified complex number.
Inf	This function returns a complex infinity, complex(+Inf, +Inf).
IsInf	This function report whether either real(x) or imag(x) is an infinity.
IsNaN	This function report whether either real(x) or imag(x) is NaN and neither is an infinity.
Log	This function returns the natural logarithm of the specified complex number.
Log10	This function returns the decimal logarithm of the specified complex number.
NaN	This function returns a complex “not-a-number” value.
Phase	This function returns the phase (also called the argument) of the specified complex number.
Polar	This function returns the absolute value r and phase θ of x, such that x = r * e**θi.
Pow	This function returns x**y, the base-x exponential of y
Rect	This function returns the complex number x with polar coordinates r, θ.
Sin	This function returns the sine of the specified complex number.
Sinh	This function returns the hyperbolic sine of the specified complex number.
Sqrt	This function returns the square root of the specified complex number.
Tan	This function returns the tangent of the specified complex number.
Tanh	This function returns the hyperbolic tangent of the specified complex number.

Example 1:

// Golang program to illustrate how to find
// the sine value of the given complex number

package main

import (
    "fmt"
    "math/cmplx"
)

// Main function
func main() {

    // Finding sine of the
    // specified complex number
    // Using Sin() function
    res_1 := cmplx.Sin(2 + 5i)
    res_2 := cmplx.Sin(-1 + 8i)
    res_3 := cmplx.Sin(-1 - 7i)

    // Displaying the result
    fmt.Println("Result 1:", res_1)
    fmt.Println("Result 2:", res_2)
    fmt.Println("Result 3:", res_3)
}

Output:

Result 1: (67.47891523845587-30.879431343588244i)
Result 2: (-1254.1949676545178+805.3091464217314i)
Result 3: (-461.3928755590023-296.25646574921427i)

Example 2:

// Golang program to illustrate
// how to find absolute value
package main

import (
    "fmt"
    "math/cmplx"
)

// Main function
func main() {

    // Finding absolute value of
    // the specified complex number
    // Using Abs() function
    res_1 := cmplx.Abs(3 + 5i)
    res_2 := cmplx.Abs(-4 + 8i)
    res_3 := cmplx.Abs(-8 - 7i)

    // Displaying the result
    fmt.Println("Random Number 1:", res_1)
    fmt.Println("Random Number 2: ", res_2)
    fmt.Println("Random Number 3: ", res_3)
}

Output:

Random Number 1: 5.8309518948453
Random Number 2:  8.94427190999916
Random Number 3:  10.63014581273465