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bigdecimal
[ DIR ]
drwxr-xr-x
2026-05-01 04:23
cgi
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
digest
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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[ DIR ]
drwxr-xr-x
2026-04-30 23:44
fiddle
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
forwardable
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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[ DIR ]
drwxr-xr-x
2026-04-30 23:44
irb
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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2026-04-30 23:44
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drwxr-xr-x
2026-04-30 23:44
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drwxr-xr-x
2026-04-30 23:44
openssl
[ DIR ]
drwxr-xr-x
2026-05-01 04:23
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[ DIR ]
drwxr-xr-x
2026-04-30 23:44
psych
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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2026-04-30 23:44
rbconfig
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2026-04-30 23:44
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[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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drwxr-xr-x
2026-04-30 23:44
rinda
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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[ DIR ]
drwxr-xr-x
2026-04-30 23:44
rss
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
rubygems
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
shell
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
syslog
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
unicode_normalize
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
uri
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
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[ DIR ]
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2026-04-30 23:44
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[ DIR ]
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2026-05-01 04:23
yaml
[ DIR ]
drwxr-xr-x
2026-04-30 23:44
English.rb
6.45
KB
-rw-r--r--
2020-03-31 16:12
abbrev.rb
3.49
KB
-rw-r--r--
2020-03-31 16:12
base64.rb
3.31
KB
-rw-r--r--
2020-03-31 16:12
benchmark.rb
17.9
KB
-rw-r--r--
2020-03-31 16:12
cgi.rb
9.8
KB
-rw-r--r--
2020-03-31 16:12
cmath.rb
9.48
KB
-rw-r--r--
2020-03-31 16:12
csv.rb
83.53
KB
-rw-r--r--
2020-03-31 16:12
date.rb
1004
B
-rw-r--r--
2023-07-26 18:17
debug.rb
29.98
KB
-rw-r--r--
2020-03-31 16:12
delegate.rb
10.31
KB
-rw-r--r--
2020-03-31 16:12
digest.rb
2.83
KB
-rw-r--r--
2023-07-26 18:17
drb.rb
50
B
-rw-r--r--
2020-03-31 16:12
e2mmap.rb
3.94
KB
-rw-r--r--
2020-03-31 16:12
erb.rb
27.25
KB
-rw-r--r--
2020-03-31 16:12
expect.rb
2.17
KB
-rw-r--r--
2023-07-26 18:17
fiddle.rb
1.68
KB
-rw-r--r--
2023-07-26 18:17
fileutils.rb
44.06
KB
-rw-r--r--
2020-03-31 16:12
find.rb
2.52
KB
-rw-r--r--
2020-03-31 16:12
forwardable.rb
8.5
KB
-rw-r--r--
2020-03-31 16:12
getoptlong.rb
15.41
KB
-rw-r--r--
2020-03-31 16:12
ipaddr.rb
17.1
KB
-rw-r--r--
2020-03-31 16:12
irb.rb
20.29
KB
-rw-r--r--
2020-03-31 16:12
json.rb
1.77
KB
-rw-r--r--
2023-07-26 18:17
kconv.rb
5.77
KB
-rw-r--r--
2023-07-26 18:17
logger.rb
23.53
KB
-rw-r--r--
2020-03-31 16:12
mathn.rb
3.42
KB
-rw-r--r--
2020-03-31 16:12
matrix.rb
53.37
KB
-rw-r--r--
2020-03-31 16:12
mkmf.rb
84.32
KB
-rw-r--r--
2023-07-26 18:16
monitor.rb
7.02
KB
-rw-r--r--
2020-03-31 16:12
mutex_m.rb
2.04
KB
-rw-r--r--
2020-03-31 16:12
observer.rb
5.83
KB
-rw-r--r--
2020-03-31 16:12
open-uri.rb
24.76
KB
-rw-r--r--
2020-03-31 16:12
open3.rb
20.59
KB
-rw-r--r--
2020-03-31 16:12
openssl.rb
445
B
-rw-r--r--
2023-07-26 18:17
optionparser.rb
59
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-rw-r--r--
2020-03-31 16:12
optparse.rb
57.25
KB
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2020-03-31 16:12
ostruct.rb
10.2
KB
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2020-03-31 16:12
pathname.rb
16.08
KB
-rw-r--r--
2023-07-26 18:17
pp.rb
14.43
KB
-rw-r--r--
2020-03-31 16:12
prettyprint.rb
15.89
KB
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2020-03-31 16:12
prime.rb
12.49
KB
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2020-03-31 16:12
profile.rb
236
B
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2020-03-31 16:12
profiler.rb
4.54
KB
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2020-03-31 16:12
pstore.rb
14.71
KB
-rw-r--r--
2020-03-31 16:12
psych.rb
15.25
KB
-rw-r--r--
2023-07-26 18:17
rdoc.rb
5.07
KB
-rw-r--r--
2020-03-31 16:12
resolv-replace.rb
1.76
KB
-rw-r--r--
2020-03-31 16:12
resolv.rb
73.48
KB
-rw-r--r--
2020-03-31 16:12
ripper.rb
2.56
KB
-rw-r--r--
2023-07-26 18:17
rss.rb
2.87
KB
-rw-r--r--
2020-03-31 16:12
rubygems.rb
35.38
KB
-rw-r--r--
2020-03-31 16:12
scanf.rb
23.56
KB
-rw-r--r--
2020-03-31 16:12
securerandom.rb
7.48
KB
-rw-r--r--
2020-03-31 16:12
set.rb
20.74
KB
-rw-r--r--
2020-03-31 16:12
shell.rb
11.37
KB
-rw-r--r--
2020-03-31 16:12
shellwords.rb
6.66
KB
-rw-r--r--
2020-03-31 16:12
singleton.rb
4.06
KB
-rw-r--r--
2020-03-31 16:12
socket.rb
42.99
KB
-rw-r--r--
2023-07-26 18:17
sync.rb
7.29
KB
-rw-r--r--
2020-03-31 16:12
tempfile.rb
10.8
KB
-rw-r--r--
2020-03-31 16:12
thwait.rb
3.35
KB
-rw-r--r--
2020-03-31 16:12
time.rb
22.36
KB
-rw-r--r--
2020-03-31 16:12
timeout.rb
3.83
KB
-rw-r--r--
2020-03-31 16:12
tmpdir.rb
4.29
KB
-rw-r--r--
2020-03-31 16:12
tracer.rb
6.44
KB
-rw-r--r--
2020-03-31 16:12
tsort.rb
14.3
KB
-rw-r--r--
2020-03-31 16:12
ubygems.rb
298
B
-rw-r--r--
2020-03-31 16:12
un.rb
9.18
KB
-rw-r--r--
2020-03-31 16:12
unicode_normalize.rb
3.2
KB
-rw-r--r--
2020-03-31 16:12
uri.rb
3.1
KB
-rw-r--r--
2020-03-31 16:12
weakref.rb
2.95
KB
-rw-r--r--
2020-03-31 16:12
webrick.rb
6.72
KB
-rw-r--r--
2020-03-31 16:12
yaml.rb
1.73
KB
-rw-r--r--
2020-03-31 16:12
Save
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, 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