steven/benfords-law
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30
README.md
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@ -6,26 +6,14 @@ This was a test to determine if random numbers follow [Benford's Law](https://en
With One-Hundred-Million samples of random numbers between 0 and 9,999,999,999,999,999, the number of leading digits was the following: With One-Hundred-Million samples of random numbers between 0 and 9,999,999,999,999,999, the number of leading digits was the following:
```shell 1. 11105630
$ ./benfords-law.exe 2. 11110535
2020/11/14 10:24:18 generating numbers... 3. 11112084
2020/11/14 10:24:19 18% completed generating and analyzing samples 4. 11113667
2020/11/14 10:24:20 37% completed generating and analyzing samples 5. 11120216
2020/11/14 10:24:21 56% completed generating and analyzing samples 6. 11106549
2020/11/14 10:24:22 75% completed generating and analyzing samples 7. 11108623
2020/11/14 10:24:23 93% completed generating and analyzing samples 8. 11114813
2020/11/14 10:24:24 done. 9. 11107883
1: 1108503 (11.085030%)
2: 1111584 (11.115840%)
3: 1111726 (11.117260%)
4: 1111122 (11.111220%)
5: 1110443 (11.104430%)
6: 1111248 (11.112480%)
7: 1111496 (11.114960%)
8: 1111777 (11.117770%)
9: 1112101 (11.121010%)
Press 'Enter' to continue...
```
This shows that Benford's law only works when the data is not random, such as natural data gathered in real life. This is because natural data is generated following a power law, which is common in nature. This shows that Benford's law only works when the data is not random, such as natural data gathered in real life. This is because natural data is generated following a power law, which is common in nature.

6
main.go
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@ -27,7 +27,7 @@ func main() {
for { for {
<-statusTicker.C <-statusTicker.C
percentCompleted := (currentSample * 100) / numSamples percentCompleted := (currentSample * 100) / numSamples
log.Printf("%d%% completed generating and analyzing samples", percentCompleted) log.Printf("%d %% completed generating and analyzing samples", percentCompleted)
} }
}() }()
@ -48,7 +48,7 @@ func main() {
// output results // output results
for digitMinusOne, count := range results { for digitMinusOne, count := range results {
fmt.Printf("%d: %d (%f%%)\n", digitMinusOne+1, count, float64(count*100)/float64(numSamples)) fmt.Printf("%d: %d\n", digitMinusOne+1, count)
} }
fmt.Print("Press 'Enter' to continue...") fmt.Print("Press 'Enter' to continue...")
@ -61,12 +61,10 @@ func generatorWorker(returnChannel chan int) {
} }
} }
// firstDigit returns the first/leftmost digit of the base10 representation of an integer
func firstDigit(x int) int { func firstDigit(x int) int {
return int(math.Abs(float64(x)) / math.Pow(10, float64(numDigits(x)-1))) return int(math.Abs(float64(x)) / math.Pow(10, float64(numDigits(x)-1)))
} }
// numDigits returns the number of digits
func numDigits(x int) int { func numDigits(x int) int {
if x == 0 { if x == 0 {
return 1 return 1