Gecko [ www.corporacionhdm.com.pe ]

Name	Size	Permission	Date
cgi	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
digest	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
drb	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
fiddle	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
io	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
irb	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
json	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
matrix	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
net	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
openssl	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
optparse	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
psych	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
racc	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rake	[ DIR ]	drwxr-xr-x	2024-03-03 22:53
rbconfig	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rdoc	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rexml	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rinda	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
ripper	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rss	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
rubygems	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
shell	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
syslog	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
unicode_normalize	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
uri	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
webrick	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
x86_64-linux	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
xmlrpc	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
yaml	[ DIR ]	drwxr-xr-x	2024-03-03 22:43
English.rb	6.42 KB	-rw-r--r--	2014-05-31 19:54
abbrev.rb	3.46 KB	-rw-r--r--	2014-07-11 08:16
base64.rb	2.63 KB	-rw-r--r--	2013-05-19 03:10
benchmark.rb	17.73 KB	-rw-r--r--	2014-09-11 08:09
cgi.rb	9.77 KB	-rw-r--r--	2014-08-07 06:14
cmath.rb	9.34 KB	-rw-r--r--	2015-07-03 19:31
csv.rb	82.45 KB	-rw-r--r--	2014-11-04 03:21
date.rb	980 B	-rw-r--r--	2023-07-26 14:31
debug.rb	29.08 KB	-rw-r--r--	2013-12-14 14:48
delegate.rb	10.71 KB	-rw-r--r--	2014-07-26 17:11
digest.rb	2.79 KB	-rw-r--r--	2023-07-26 14:31
drb.rb	19 B	-rw-r--r--	2009-10-02 10:45
e2mmap.rb	3.77 KB	-rw-r--r--	2014-08-24 07:16
erb.rb	26.35 KB	-rw-r--r--	2014-12-12 10:48
expect.rb	2.14 KB	-rw-r--r--	2023-07-26 14:31
fiddle.rb	1.65 KB	-rw-r--r--	2023-07-26 14:31
fileutils.rb	47.46 KB	-rw-r--r--	2017-03-25 18:24
find.rb	2.48 KB	-rw-r--r--	2014-10-13 07:34
forwardable.rb	8.22 KB	-rw-r--r--	2017-03-25 14:43
getoptlong.rb	15.38 KB	-rw-r--r--	2013-05-19 14:50
ipaddr.rb	17.06 KB	-rw-r--r--	2015-11-24 15:49
irb.rb	20.03 KB	-rw-r--r--	2016-03-28 15:07
json.rb	1.74 KB	-rw-r--r--	2023-07-26 14:31
kconv.rb	5.74 KB	-rw-r--r--	2023-07-26 14:31
logger.rb	20.33 KB	-rw-r--r--	2016-10-27 07:47
mathn.rb	3.84 KB	-rw-r--r--	2014-08-26 12:07
matrix.rb	53.14 KB	-rw-r--r--	2014-11-27 01:03
mkmf.rb	82.59 KB	-rw-r--r--	2023-07-26 14:29
monitor.rb	6.93 KB	-rw-r--r--	2012-11-16 16:55
mutex_m.rb	2 KB	-rw-r--r--	2013-02-20 02:51
observer.rb	5.8 KB	-rw-r--r--	2014-08-27 12:21
open-uri.rb	24.58 KB	-rw-r--r--	2014-12-24 09:11
open3.rb	20.55 KB	-rw-r--r--	2014-11-04 03:09
openssl.rb	528 B	-rw-r--r--	2023-07-26 14:31
optionparser.rb	28 B	-rw-r--r--	2014-05-26 03:25
optparse.rb	52.05 KB	-rw-r--r--	2017-03-25 18:28
ostruct.rb	8.66 KB	-rw-r--r--	2017-03-25 18:35
pathname.rb	15.58 KB	-rw-r--r--	2023-07-26 14:31
pp.rb	14.16 KB	-rw-r--r--	2014-12-05 19:35
prettyprint.rb	15.85 KB	-rw-r--r--	2014-08-22 02:38
prime.rb	13.11 KB	-rw-r--r--	2014-12-10 20:38
profile.rb	205 B	-rw-r--r--	2009-10-02 10:45
profiler.rb	4.51 KB	-rw-r--r--	2013-05-19 23:04
pstore.rb	14.55 KB	-rw-r--r--	2014-07-23 19:31
psych.rb	14.88 KB	-rw-r--r--	2023-07-26 14:31
rake.rb	2.23 KB	-rw-r--r--	2014-12-06 00:22
rdoc.rb	4.96 KB	-rw-r--r--	2014-12-07 01:22
resolv-replace.rb	1.73 KB	-rw-r--r--	2013-03-11 13:47
resolv.rb	72.06 KB	-rw-r--r--	2015-05-19 17:05
ripper.rb	2.53 KB	-rw-r--r--	2023-07-26 14:31
rss.rb	2.84 KB	-rw-r--r--	2011-05-11 10:22
rubygems.rb	31.85 KB	-rw-r--r--	2018-02-16 16:27
scanf.rb	23.54 KB	-rw-r--r--	2014-02-15 01:33
securerandom.rb	9.2 KB	-rw-r--r--	2016-04-22 09:17
set.rb	19.15 KB	-rw-r--r--	2014-08-06 11:28
shell.rb	11.3 KB	-rw-r--r--	2014-08-24 07:16
shellwords.rb	5.96 KB	-rw-r--r--	2014-09-05 10:00
singleton.rb	4.02 KB	-rw-r--r--	2011-05-18 14:09
socket.rb	25.6 KB	-rw-r--r--	2023-07-26 14:31
sync.rb	7.25 KB	-rw-r--r--	2013-05-19 03:10
tempfile.rb	11.11 KB	-rw-r--r--	2014-09-21 01:40
thwait.rb	3.31 KB	-rw-r--r--	2014-08-27 12:10
time.rb	22.25 KB	-rw-r--r--	2015-08-03 19:11
timeout.rb	3.64 KB	-rw-r--r--	2015-08-10 17:08
tmpdir.rb	4.13 KB	-rw-r--r--	2018-03-28 14:34
tracer.rb	6.4 KB	-rw-r--r--	2013-07-18 13:50
tsort.rb	14.27 KB	-rw-r--r--	2014-11-26 10:46
ubygems.rb	268 B	-rw-r--r--	2009-10-02 10:45
un.rb	8.87 KB	-rw-r--r--	2013-07-05 13:43
unicode_normalize.rb	3.16 KB	-rw-r--r--	2015-01-16 02:06
uri.rb	3.07 KB	-rw-r--r--	2014-11-03 00:33
weakref.rb	2.92 KB	-rw-r--r--	2014-07-26 17:12
webrick.rb	6.69 KB	-rw-r--r--	2013-10-05 23:39
xmlrpc.rb	8.49 KB	-rw-r--r--	2013-12-12 03:09
yaml.rb	1.7 KB	-rw-r--r--	2014-06-26 02:52

Rename

#--
# $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