Gecko [ www.leshallesdegournay.geraud-market.com ]

Name	Size	Permission	Date
cgi	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
digest	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
drb	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
fiddle	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
io	[ DIR ]	drwxr-xr-x	2023-07-26 16:28
irb	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
json	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
matrix	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
net	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
openssl	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
optparse	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
psych	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
racc	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rbconfig	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rdoc	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rexml	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rinda	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
ripper	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rss	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
rubygems	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
shell	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
syslog	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
unicode_normalize	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
uri	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
webrick	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
x86_64-linux	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
xmlrpc	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
yaml	[ DIR ]	drwxr-xr-x	2023-08-28 23:23
English.rb	6.45 KB	-rw-r--r--	2015-12-16 06:07
abbrev.rb	3.49 KB	-rw-r--r--	2015-12-16 06:07
base64.rb	3.31 KB	-rw-r--r--	2015-12-16 06:07
benchmark.rb	17.9 KB	-rw-r--r--	2015-12-23 04:43
cgi.rb	9.8 KB	-rw-r--r--	2015-12-16 06:07
cmath.rb	9.48 KB	-rw-r--r--	2015-12-16 06:07
csv.rb	82.15 KB	-rw-r--r--	2015-12-19 06:23
date.rb	1011 B	-rw-r--r--	2023-07-26 16:28
debug.rb	29.97 KB	-rw-r--r--	2015-12-16 06:07
delegate.rb	10.29 KB	-rw-r--r--	2015-12-16 06:07
digest.rb	2.82 KB	-rw-r--r--	2023-07-26 16:28
drb.rb	50 B	-rw-r--r--	2015-12-16 06:07
e2mmap.rb	3.8 KB	-rw-r--r--	2015-12-16 06:07
erb.rb	26.45 KB	-rw-r--r--	2017-06-30 13:24
expect.rb	2.17 KB	-rw-r--r--	2023-07-26 16:28
fiddle.rb	1.68 KB	-rw-r--r--	2023-07-26 16:28
fileutils.rb	47.47 KB	-rw-r--r--	2017-03-27 18:57
find.rb	2.51 KB	-rw-r--r--	2015-12-16 06:07
forwardable.rb	7.97 KB	-rw-r--r--	2018-03-18 16:04
getoptlong.rb	15.41 KB	-rw-r--r--	2015-12-23 04:43
ipaddr.rb	17.08 KB	-rw-r--r--	2015-12-16 06:07
irb.rb	20.06 KB	-rw-r--r--	2016-03-29 08:10
json.rb	1.77 KB	-rw-r--r--	2023-07-26 16:28
kconv.rb	5.77 KB	-rw-r--r--	2023-07-26 16:28
logger.rb	21.93 KB	-rw-r--r--	2016-10-17 19:38
mathn.rb	3.87 KB	-rw-r--r--	2015-12-16 06:07
matrix.rb	53.37 KB	-rw-r--r--	2015-12-16 06:07
mkmf.rb	83.79 KB	-rw-r--r--	2023-07-26 16:26
monitor.rb	7.01 KB	-rw-r--r--	2015-12-16 06:07
mutex_m.rb	2.03 KB	-rw-r--r--	2015-12-16 06:07
observer.rb	5.83 KB	-rw-r--r--	2015-12-16 06:07
open-uri.rb	24.61 KB	-rw-r--r--	2015-11-11 04:48
open3.rb	20.67 KB	-rw-r--r--	2015-11-14 08:43
openssl.rb	445 B	-rw-r--r--	2023-07-26 16:28
optionparser.rb	59 B	-rw-r--r--	2015-12-16 06:07
optparse.rb	56.91 KB	-rw-r--r--	2017-08-09 09:56
ostruct.rb	9.95 KB	-rw-r--r--	2018-01-31 12:05
pathname.rb	16.08 KB	-rw-r--r--	2023-07-26 16:28
pp.rb	14.2 KB	-rw-r--r--	2015-11-10 12:48
prettyprint.rb	15.89 KB	-rw-r--r--	2015-11-10 12:48
prime.rb	12.35 KB	-rw-r--r--	2015-12-16 06:07
profile.rb	236 B	-rw-r--r--	2015-12-16 06:07
profiler.rb	4.54 KB	-rw-r--r--	2015-12-16 06:07
pstore.rb	14.58 KB	-rw-r--r--	2015-12-23 04:43
psych.rb	15.29 KB	-rw-r--r--	2023-07-26 16:28
psych_jars.rb	175 B	-rw-r--r--	2023-07-26 16:28
rdoc.rb	5.07 KB	-rw-r--r--	2015-12-22 13:08
resolv-replace.rb	1.76 KB	-rw-r--r--	2015-11-14 09:25
resolv.rb	73.52 KB	-rw-r--r--	2018-03-28 08:03
ripper.rb	2.56 KB	-rw-r--r--	2023-07-26 16:28
rss.rb	2.87 KB	-rw-r--r--	2015-12-16 06:07
rubygems.rb	32.24 KB	-rw-r--r--	2018-02-16 17:21
scanf.rb	23.56 KB	-rw-r--r--	2015-12-16 06:07
securerandom.rb	7.49 KB	-rw-r--r--	2016-04-22 17:30
set.rb	19.67 KB	-rw-r--r--	2015-11-16 08:41
shell.rb	11.33 KB	-rw-r--r--	2015-12-16 06:07
shellwords.rb	6.28 KB	-rw-r--r--	2015-12-16 10:25
singleton.rb	4.05 KB	-rw-r--r--	2015-12-16 06:07
socket.rb	43.49 KB	-rw-r--r--	2023-07-26 16:28
sync.rb	7.29 KB	-rw-r--r--	2015-12-16 06:07
tempfile.rb	10.87 KB	-rw-r--r--	2017-03-27 16:47
thwait.rb	3.34 KB	-rw-r--r--	2015-12-16 06:07
time.rb	22.28 KB	-rw-r--r--	2015-11-14 13:45
timeout.rb	3.68 KB	-rw-r--r--	2015-12-18 16:46
tmpdir.rb	4.17 KB	-rw-r--r--	2018-03-28 12:29
tracer.rb	6.43 KB	-rw-r--r--	2015-12-16 06:07
tsort.rb	14.3 KB	-rw-r--r--	2015-11-14 09:46
ubygems.rb	299 B	-rw-r--r--	2015-12-16 06:07
un.rb	8.87 KB	-rw-r--r--	2015-12-16 06:07
unicode_normalize.rb	3.19 KB	-rw-r--r--	2015-12-16 06:07
uri.rb	3.1 KB	-rw-r--r--	2015-12-16 06:07
weakref.rb	2.95 KB	-rw-r--r--	2015-12-16 06:07
webrick.rb	6.72 KB	-rw-r--r--	2015-12-23 04:43
xmlrpc.rb	8.93 KB	-rw-r--r--	2015-12-23 04:43
yaml.rb	1.73 KB	-rw-r--r--	2015-12-16 06:07

Rename

# 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, Fixnum's division is enhanced to
# return more precise values from mathematical expressions.
#
#   2/3*3  # => 0
#   require 'mathn'
#   2/3*3  # => 2

class Fixnum
  remove_method :/

##
  # +/+ defines the Rational division for Fixnum.
  #
  #   1/3  # => (1/3)

alias / quo
end

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

class Bignum
  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)
      abs = sqrt(a.real*a.real + a.imag*a.imag)
      x = sqrt((a.real + abs)/Rational(2))
      y = sqrt((-a.real + abs)/Rational(2))
      if a.imag >= 0
        Complex(x, y)
      else
        Complex(x, -y)
      end
    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