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Diffstat (limited to 'lib/mathn.rb')
| -rw-r--r-- | lib/mathn.rb | 167 |
1 files changed, 0 insertions, 167 deletions
diff --git a/lib/mathn.rb b/lib/mathn.rb deleted file mode 100644 index 877559d269..0000000000 --- a/lib/mathn.rb +++ /dev/null @@ -1,167 +0,0 @@ -# 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" - -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) # :nodoc: - 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 |