The programming language Go uses the Jn
function to find the Bessel function of a passed argument. The order of the function is determined by another argument you give it.
To use this function, you must import the math
package in your file and access the Jn
function within it using the .
notation (math.Jn
). Here, Jn
is the actual function, while math
is the Go package that stores the definition of this function.
The definition of the Jn
function inside the math
package is:
Jn
function takes two arguments:
x
: This argument, of type float64
, represents the number you want to find the order-n Bessel function of.
n
: This argument tells the Jn
function what order of the Bessel function it needs to generate.
The Jn
function returns a single value of type float64
representing the order-n Bessel function of the argument.
Some special cases are when you pass something that is infinity, 0
, or NAN
as the second argument :
If the argument has an infinite value, the return value will be 0
, regardless if it is positive or negative.
If a NAN
argument is passed, the return value is also NAN
.
The following is a simple example where we find the order-3 Bessel function of 5.35
:
package mainimport("fmt""math")func main() {var x float64 = 5.35y := math.Jn(2, x)fmt.Print("The order-two Bessel function of ", x," is ", y, "\n")}
The following example shows how the Jn
function deals with an argument whose value is infinite (regardless of the order you give it):
To generate the infinite value, we are using the
Inf
function in the math package. It generates an infinite value with the same sign as the sign on the argument passed to it.
package mainimport("fmt""math")func main() {var x float64 = math.Inf(1)y := math.Jn(2, x)fmt.Print("The order-two Bessel function of ", x," is ", y, "\n")y = math.Jn(7, x)fmt.Print("The order-seven Bessel function of ", x," is ", y, "\n")y = math.Jn(20, x)fmt.Print("The order-twenty Bessel function of ", x," is ", y, "\n")}
The following piece program shows how the Jn
function handles NAN
values:
Here, we use the
NaN
function present in themath
go package to generate aNAN
value.
package mainimport("fmt""math")func main() {my_nan := math.NaN()y := math.Jn(2, my_nan)fmt.Print("The order-two Bessel function of ", my_nan," is ", y, "\n")}
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