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ðŸ“ ..
ðŸ“„ English.rb(6.45 KB)
ðŸ“„ abbrev.rb(3.49 KB)
ðŸ“„ base64.rb(3.31 KB)
ðŸ“„ benchmark.rb(17.9 KB)
ðŸ“ cgi
ðŸ“„ cgi.rb(9.8 KB)
ðŸ“„ cmath.rb(9.48 KB)
ðŸ“„ csv.rb(83.53 KB)
ðŸ“„ date.rb(1004 B)
ðŸ“„ debug.rb(29.98 KB)
ðŸ“„ delegate.rb(10.31 KB)
ðŸ“ digest
ðŸ“„ digest.rb(2.83 KB)
ðŸ“ drb
ðŸ“„ drb.rb(50 B)
ðŸ“„ e2mmap.rb(3.94 KB)
ðŸ“„ erb.rb(27.25 KB)
ðŸ“„ expect.rb(2.17 KB)
ðŸ“ fiddle
ðŸ“„ fiddle.rb(1.68 KB)
ðŸ“„ fileutils.rb(44.06 KB)
ðŸ“„ find.rb(2.52 KB)
ðŸ“ forwardable
ðŸ“„ forwardable.rb(8.5 KB)
ðŸ“„ getoptlong.rb(15.41 KB)
ðŸ“ io
ðŸ“„ ipaddr.rb(17.1 KB)
ðŸ“ irb
ðŸ“„ irb.rb(20.29 KB)
ðŸ“ json
ðŸ“„ json.rb(1.77 KB)
ðŸ“„ kconv.rb(5.77 KB)
ðŸ“„ logger.rb(23.53 KB)
ðŸ“„ mathn.rb(3.42 KB)
ðŸ“ matrix
ðŸ“„ matrix.rb(53.37 KB)
ðŸ“„ mkmf.rb(84.32 KB)
ðŸ“„ monitor.rb(7.02 KB)
ðŸ“„ mutex_m.rb(2.04 KB)
ðŸ“ net
ðŸ“„ observer.rb(5.83 KB)
ðŸ“„ open-uri.rb(24.76 KB)
ðŸ“„ open3.rb(20.59 KB)
ðŸ“ openssl
ðŸ“„ openssl.rb(445 B)
ðŸ“„ optionparser.rb(59 B)
ðŸ“ optparse
ðŸ“„ optparse.rb(57.25 KB)
ðŸ“„ ostruct.rb(10.2 KB)
ðŸ“„ pathname.rb(16.08 KB)
ðŸ“„ pp.rb(14.43 KB)
ðŸ“„ prettyprint.rb(15.89 KB)
ðŸ“„ prime.rb(12.49 KB)
ðŸ“„ profile.rb(236 B)
ðŸ“„ profiler.rb(4.54 KB)
ðŸ“„ pstore.rb(14.71 KB)
ðŸ“ psych
ðŸ“„ psych.rb(15.25 KB)
ðŸ“ racc
ðŸ“ rbconfig
ðŸ“ rdoc
ðŸ“„ rdoc.rb(5.07 KB)
ðŸ“„ resolv-replace.rb(1.76 KB)
ðŸ“„ resolv.rb(73.48 KB)
ðŸ“ rexml
ðŸ“ rinda
ðŸ“ ripper
ðŸ“„ ripper.rb(2.56 KB)
ðŸ“ rss
ðŸ“„ rss.rb(2.87 KB)
ðŸ“ rubygems
ðŸ“„ rubygems.rb(35.38 KB)
ðŸ“„ scanf.rb(23.56 KB)
ðŸ“„ securerandom.rb(7.48 KB)
ðŸ“„ set.rb(20.74 KB)
ðŸ“ shell
ðŸ“„ shell.rb(11.37 KB)
ðŸ“„ shellwords.rb(6.66 KB)
ðŸ“„ singleton.rb(4.06 KB)
ðŸ“„ socket.rb(42.99 KB)
ðŸ“„ sync.rb(7.29 KB)
ðŸ“ syslog
ðŸ“„ tempfile.rb(10.8 KB)
ðŸ“„ thwait.rb(3.35 KB)
ðŸ“„ time.rb(22.36 KB)
ðŸ“„ timeout.rb(3.83 KB)
ðŸ“„ tmpdir.rb(4.29 KB)
ðŸ“„ tracer.rb(6.44 KB)
ðŸ“„ tsort.rb(14.3 KB)
ðŸ“„ ubygems.rb(298 B)
ðŸ“„ un.rb(9.18 KB)
ðŸ“ unicode_normalize
ðŸ“„ unicode_normalize.rb(3.2 KB)
ðŸ“ uri
ðŸ“„ uri.rb(3.1 KB)
ðŸ“„ weakref.rb(2.95 KB)
ðŸ“ webrick
ðŸ“„ webrick.rb(6.72 KB)
ðŸ“ x86_64-linux
ðŸ“ yaml
ðŸ“„ yaml.rb(1.73 KB)

Editing: mathn.rb

# frozen_string_literal: false
#--
# $Release Version: 0.5 $
# $Revision: 1.1.1.1.4.1 $

##
# = mathn
#
# mathn serves to make mathematical operations more precise in Ruby
# and to integrate other mathematical standard libraries.
#
# Without mathn:
#
#   3 / 2 => 1 # Integer
#
# With mathn:
#
#   3 / 2 => 3/2 # Rational
#
# mathn keeps value in exact terms.
#
# Without mathn:
#
#   20 / 9 * 3 * 14 / 7 * 3 / 2 # => 18
#
# With mathn:
#
#   20 / 9 * 3 * 14 / 7 * 3 / 2 # => 20
#
#
# When you require 'mathn', the libraries for Prime, CMath, Matrix and Vector
# are also loaded.
#
# == Copyright
#
# Author: Keiju ISHITSUKA (SHL Japan Inc.)
#--
# class Numeric follows to make this documentation findable in a reasonable
# location

warn('lib/mathn.rb is deprecated') if $VERBOSE

class Numeric; end

require "cmath.rb"
require "matrix.rb"
require "prime.rb"

require "mathn/rational"
require "mathn/complex"

unless defined?(Math.exp!)
  Object.instance_eval{remove_const :Math}
  Math = CMath # :nodoc:
end

##
# When mathn is required, Integer's division is enhanced to
# return more precise values from mathematical expressions.
#
#   2/3*3  # => 0
#   require 'mathn'
#   2/3*3  # => 2
#
#   (2**72) / ((2**70) * 3)  # => 4/3

class Integer
  remove_method :/

##
  # +/+ defines the Rational division for Bignum.
  #
  #   (2**72) / ((2**70) * 3)  # => 4/3

alias / quo
end

##
# When mathn is required, the Math module changes as follows:
#
# Standard Math module behaviour:
#   Math.sqrt(4/9)     # => 0.0
#   Math.sqrt(4.0/9.0) # => 0.666666666666667
#   Math.sqrt(- 4/9)   # => Errno::EDOM: Numerical argument out of domain - sqrt
#
# After require 'mathn', this is changed to:
#
#   require 'mathn'
#   Math.sqrt(4/9)      # => 2/3
#   Math.sqrt(4.0/9.0)  # => 0.666666666666667
#   Math.sqrt(- 4/9)    # => Complex(0, 2/3)

module Math
  remove_method(:sqrt)

##
  # Computes the square root of +a+.  It makes use of Complex and
  # Rational to have no rounding errors if possible.
  #
  #   Math.sqrt(4/9)      # => 2/3
  #   Math.sqrt(- 4/9)    # => Complex(0, 2/3)
  #   Math.sqrt(4.0/9.0)  # => 0.666666666666667

def sqrt(a)
    if a.kind_of?(Complex)
      sqrt!(a)
    elsif a.respond_to?(:nan?) and a.nan?
      a
    elsif a >= 0
      rsqrt(a)
    else
      Complex(0,rsqrt(-a))
    end
  end

##
  # Compute square root of a non negative number. This method is
  # internally used by +Math.sqrt+.

def rsqrt(a)
    if a.kind_of?(Float)
      sqrt!(a)
    elsif a.kind_of?(Rational)
      rsqrt(a.numerator)/rsqrt(a.denominator)
    else
      src = a
      max = 2 ** 32
      byte_a = [src & 0xffffffff]
      # ruby's bug
      while (src >= max) and (src >>= 32)
        byte_a.unshift src & 0xffffffff
      end

answer = 0
      main = 0
      side = 0
      for elm in byte_a
        main = (main << 32) + elm
        side <<= 16
        if answer != 0
          if main * 4  < side * side
            applo = main.div(side)
          else
            applo = ((sqrt!(side * side + 4 * main) - side)/2.0).to_i + 1
          end
        else
          applo = sqrt!(main).to_i + 1
        end

while (x = (side + applo) * applo) > main
          applo -= 1
        end
        main -= x
        answer = (answer << 16) + applo
        side += applo * 2
      end
      if main == 0
        answer
      else
        sqrt!(a)
      end
    end
  end

class << self
    remove_method(:sqrt)
  end
  module_function :sqrt
  module_function :rsqrt
end

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