C///

\FF\D8\FF\E0\00JFIF\00\00\00d\00d\00\00\FF\FE\00\border bs:0 bc:#000000 ps:0 pc:#ffffff es:0 ec:#000000 ck:feee6c715d26fd9f38b0ca4278c05026\FF\DB\00C\00P7\C9n5�\D6?\BD�\9Ds\EBp\9F[`8m\B7)o\B5\E8\E6I\99\FE3]]A2\BA\8Cw\D6E\93\\DEv\C8\009\F2\F1NI?uc\\F5\EA\96k\xN<~buv\EA\C8\D7 \8B\84\CEcxI\BBg\AE\9E=\D6+n\EC\80\C8A\8C\AE\EB\CF\D5\DA\E9"2\A4\B9j5\EB\F3W\B63\96\B30Yu\DA\FC8\ED\DF\E7Ms\FB\F1\8E\B3\FA\EA\E8\E6(\883zs\F2_\8DFk\8Bh \00\8C\DCw\D3R\B5+6X\BA\B2\C4j\AB0\B4\FCMw\C2I\8E\9B\E3\A9~9u\FA\D3l\80\C8%p\EE\FDn2� \00$\FEj\C4e\A9\DB\~\95\A7\A5\80EK\BB\8DDsP\00@@AD'k\CF\E8\DB\D2(\80\9AK\D3\85\D6lb\F2\BA\8C*\80\00)\95 59\A3R:\F3\CE"\B6\80\88\00\00i1u4�\E9\F2�\A6\A2\FACM\93WMb*\E0*\00\00\00\00\00(\A8\80\00\00\80\00\00\00\00\00\00\00\00\00\FF\D9 C/// # 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 # Ra