=begin | |
Determines the distribution of the first digit. | |
This script analyze the constants used across all LODA programs. | |
Ignoring oeis program_ids. | |
Ignoring the digit 0. | |
Ignoring comments. | |
Ignoring target registers. | |
Ignoring source registers. | |
The minus sign is ignored if it's a negative constant. | |
Only the first digit is considered. The remaning digits are ignored. | |
Benford's Law | |
https://www.youtube.com/watch?v=vIsDjbhbADY | |
Output from this program looks like this: | |
digit;count | |
1;122724 | |
2;71614 | |
3;21240 | |
4;16455 | |
5;9411 | |
6;8057 | |
7;4741 | |
8;5170 | |
9;4096 | |
=end | |
require_relative 'config' | |
require 'csv' | |
CACHE_DIR = Config.instance.cache_dir | |
unless Dir.exist?(CACHE_DIR) | |
raise "No such dir #{CACHE_DIR}, cannot run script" | |
end | |
CACHE_HISTOGRAM_INSTRUCTION_CONSTANT_CSV = File.join(CACHE_DIR, 'histogram_instruction_constant.csv') | |
dict = Hash.new(0) | |
CSV.foreach(CACHE_HISTOGRAM_INSTRUCTION_CONSTANT_CSV, col_sep: ";") do |row| | |
count = row[0].to_i | |
value = row[2].to_i | |
next if count == 0 | |
next if value == 0 | |
value_string = value.abs.to_s | |
first_digit_string = value_string[0] | |
first_digit = first_digit_string.to_i | |
dict[first_digit] += count | |
end | |
puts "Distribution of first digits" | |
puts | |
puts "digit;count" | |
(1..9).each do |i| | |
count = dict[i] | |
puts "#{i};#{count}" | |
end | |