(50g) Normal Distribution

[Albert Chan]

(12-15-2018 03:03 PM)Albert Chan Wrote:  k = e^-0.88453 / √(2 Pi) = 0.164726 536723 000000 206 ... => 0.164726 536723

Combine above k with 1 Exp method, revision 2, calculate Z(z):

B = z*z/2
D = exp(0.88453 - B) * 0.164726 536723

x = z, rounded to 5 digits
h = z - x
y = B - x²/2 - x h - h²/2

Z(z) = D + y D

Examples:

Z(20.33333 33333) = 6.64644 886819 e-91 + 303 ULP = 6.64644 887122 e-91

Z(16.4285 714286) = 9.84720 298984 e-60 − 301 ULP = 9.84720 298683 e-60