Creating a normally distributed set of numbers in Go can be accomplished as follows.
func getNormDistro(x int){
for i := 0; i < x; i++{
fmt.Print(" ",int(normalInverse(80,10)), " ")
}
}
func normalInverse(mu float32, sigma float32)(float32){
return float32(rand.NormFloat64() * float64(sigma) + float64(mu))
}
Running this:
getNormDistro(10)
prints this:
86 74 79 94 73 92 66 77 74 78
The only problem is the Distribution is not consistent and has a random aspect to it. This means the curve generated might not fit the normal distribution cure as closely as possible.
How would one make a function that does follow a normal distribution as closely as possible in an algorithmic fashion that has no random component in the output?
So, I know this is possible because you can easily do it in excel. Excel has this function =NORMINV(E3,C3,D3) that takes 3 perimeters the %chance of occurrence(as a decimal), the mean of your distribution, and the standard deviation.This function returns the value of the percent chance that is entered.
If you iterate through the percent chance of occurrence with a specific mean and standard deviation at .5 you would have your mean and if your iteration was evenly spaced between 0% and 100% a standard distribution would be crated with no random component.
Data Set Mean Standard Deviation % Chance
56.73652126 80 10 0.01
56.73652126 80 10 0.02
61.19206392 80 10 0.03
62.49313929 80 10 0.04
63.55146373 80 10 0.05
64.45226405 80 10 0.06
65.24208972 80 10 0.07
65.9492844 80 10 0.08
66.59244966 80 10 0.09
67.18448434 80 10 0.1
67.7347188 80 10 0.11
68.25013208 80 10 0.12
68.73608871 80 10 0.13
69.19680659 80 10 0.14
69.63566611 80 10 0.15
70.05542117 80 10 0.16
70.45834747 80 10 0.17
70.84634912 80 10 0.18
71.22103705 80 10 0.19
71.58378766 80 10 0.2
71.93578753 80 10 0.21
72.27806786 80 10 0.22
72.61153151 80 10 0.23
72.93697437 80 10 0.24
73.2551025 80 10 0.25
73.56654595 80 10 0.26
73.87187009 80 10 0.27
74.17158493 80 10 0.28
74.4661528 80 10 0.29
74.75599487 80 10 0.3
75.04149653 80 10 0.31
75.32301201 80 10 0.32
75.60086834 80 10 0.33
75.87536871 80 10 0.34
76.14679534 80 10 0.35
76.41541207 80 10 0.36
76.68146654 80 10 0.37
76.94519212 80 10 0.38
77.20680966 80 10 0.39
77.46652897 80 10 0.4
77.72455023 80 10 0.41
77.98106521 80 10 0.42
78.23625835 80 10 0.43
78.49030785 80 10 0.44
78.74338653 80 10 0.45
78.99566279 80 10 0.46
79.24730138 80 10 0.47
79.49846417 80 10 0.48
79.74931092 80 10 0.49
80 80 10 0.5
80.25068908 80 10 0.51
80.50153583 80 10 0.52
80.75269862 80 10 0.53
81.00433721 80 10 0.54
81.25661347 80 10 0.55
81.50969215 80 10 0.56
81.76374165 80 10 0.57
82.01893479 80 10 0.58
82.27544977 80 10 0.59
82.53347103 80 10 0.6
82.79319034 80 10 0.61
83.05480788 80 10 0.62
83.31853346 80 10 0.63
83.58458793 80 10 0.64
83.85320466 80 10 0.65
84.12463129 80 10 0.66
84.39913166 80 10 0.67
84.67698799 80 10 0.68
84.95850347 80 10 0.69
85.24400513 80 10 0.7
85.5338472 80 10 0.71
85.82841507 80 10 0.72
86.12812991 80 10 0.73
86.43345405 80 10 0.74
86.7448975 80 10 0.75
87.06302563 80 10 0.76
87.38846849 80 10 0.77
87.72193214 80 10 0.78
88.06421247 80 10 0.79
88.41621234 80 10 0.8
88.77896295 80 10 0.81
89.15365088 80 10 0.82
89.54165253 80 10 0.83
89.94457883 80 10 0.84
90.36433389 80 10 0.85
90.80319341 80 10 0.86
91.26391129 80 10 0.87
91.74986792 80 10 0.88
92.2652812 80 10 0.89
92.81551566 80 10 0.9
93.40755034 80 10 0.91
94.0507156 80 10 0.92
94.75791028 80 10 0.93
95.54773595 80 10 0.94
96.44853627 80 10 0.95
97.50686071 80 10 0.96
98.80793608 80 10 0.97
100.5374891 80 10 0.98
103.2634787 80 10 0.99
110.9023231 80 10 0.999
117.1901649 80 10 0.9999
122.6489079 80 10 0.99999
127.5342431 80 10 0.999999
49.09767694 80 10 0.001
42.80983515 80 10 0.0001
37.35109206 80 10 0.00001
32.46575691 80 10 0.000001
28.00662418 80 10 0.0000001
23.87998756 80 10 0.00000001
