Ruby library that contains various mathematical functions and algorithms, extending Ruby's capabilities in domains such as statistics, numerical analysis, and combinatorics.
MoreMath provides a comprehensive set of mathematical tools including:
- Advanced mathematical functions (gamma, beta, error functions)
- Mathematical constants and precision utilities
- Statistical distributions and hypothesis testing
- Sequence analysis and time series operations
- Combinatorial algorithms (permutations, subsets)
- Special functions (continued fractions, Cantor pairing)
- Data visualization tools (histograms)
- String numeral conversion and Gödel numbering
- Numerical integration methods
- Statistical quality control tools
- Information theory calculations
Complete API documentation is available at: GitHub.io
include MoreMath::Functions # include like you would ::Math
# Compute the gamma function at 0.5
puts gamma(0.5) # => 1.77245385091
# Define a continued fraction representation of the arctangent function (atan)
atan = ContinuedFraction.for_a do |n, x|
n == 0 ? 0 : 2 * n - 1
end.for_b do |n, x|
n <= 1 ? x : ((n - 1) * x) ** 2
end
pi = -> (epsilon: 1E-16) { 4 * atan.(1, epsilon:) }
puts pi.() # => 3.1415926535897936
# Compute the moving average of an array
sequence = [1, 2, 3, 4, 5]
ma = Sequence.new(sequence).simple_moving_average(2)
puts ma.inspect # => [1.5, 2.5, 3.5, 4.5]
# Create a histogram with 3 bins, display it in on STDOUT with a width of 80 characters
Histogram.new([1, 2, 3, 4, 5, 1], bins: 3).display(STDOUT, 80) ; nil
# 4.33333 -|⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
# 3.00000 -|⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
# 1.66667 -|⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿gem install more_mathAdd to your Gemfile:
gem 'more_math'This software is licensed under the MIT License.
The homepage of this library is located at: