Are there any freely available implementations of the Gauss error function in JavaScript under a BSD or MIT license?
Are there any freely available implementations of the Gauss error function in JavaScript under a BSD or MIT license?
After conducting extensive research on Gaussian approximation, I have discovered a method that provides excellent accuracy and performance:
The following formula may appear unconventional, but it effectively yields a null average and sigma²=1/2 as anticipated:
var gaussrand = (Math.random()+Math.random()+Math.random()+Math.random()+Math.random()+Math.random()-3);
I trust that this information will be beneficial to you.
In this code snippet, the error function (erf) is implemented using an approximation method described on Wikipedia by Peter Mortensen. The original credit for the algorithm goes to Abramowitz and Stegun.
function erf(x) {
var z;
const ERF_A = 0.147;
var the_sign_of_x;
if(0==x) {
the_sign_of_x = 0;
return 0;
} else if(x>0){
the_sign_of_x = 1;
} else {
the_sign_of_x = -1;
}
var one_plus_axsqrd = 1 + ERF_A * x * x;
var four_ovr_pi_etc = 4/Math.PI + ERF_A * x * x;
var ratio = four_ovr_pi_etc / one_plus_axsqrd;
ratio *= x * -x;
var expofun = Math.exp(ratio);
var radical = Math.sqrt(1-expofun);
z = radical * the_sign_of_x;
return z;
}
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