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Name	Size	Permission	Date
%2a%2a-i.ri	642 B	-rw-r--r--	2023-07-26 17:26
%2a-i.ri	590 B	-rw-r--r--	2023-07-26 17:26
%2b-i.ri	589 B	-rw-r--r--	2023-07-26 17:26
%2d-i.ri	591 B	-rw-r--r--	2023-07-26 17:26
%2f-i.ri	621 B	-rw-r--r--	2023-07-26 17:26
%3c%3d%3e-i.ri	598 B	-rw-r--r--	2023-07-26 17:26
%3d%3d-i.ri	608 B	-rw-r--r--	2023-07-26 17:26
as_json-i.ri	169 B	-rw-r--r--	2023-07-26 17:26
cdesc-Rational.ri	2.59 KB	-rw-r--r--	2023-07-26 17:26
ceil-i.ri	790 B	-rw-r--r--	2023-07-26 17:26
denominator-i.ri	599 B	-rw-r--r--	2023-07-26 17:26
fdiv-i.ri	528 B	-rw-r--r--	2023-07-26 17:26
floor-i.ri	799 B	-rw-r--r--	2023-07-26 17:26
inspect-i.ri	477 B	-rw-r--r--	2023-07-26 17:26
json_create-c.ri	183 B	-rw-r--r--	2023-07-26 17:26
numerator-i.ri	497 B	-rw-r--r--	2023-07-26 17:26
quo-i.ri	625 B	-rw-r--r--	2023-07-26 17:26
rationalize-i.ri	704 B	-rw-r--r--	2023-07-26 17:26
round-i.ri	829 B	-rw-r--r--	2023-07-26 17:26
to_d-i.ri	787 B	-rw-r--r--	2023-07-26 17:26
to_f-i.ri	482 B	-rw-r--r--	2023-07-26 17:26
to_i-i.ri	569 B	-rw-r--r--	2023-07-26 17:26
to_json-i.ri	169 B	-rw-r--r--	2023-07-26 17:26
to_r-i.ri	380 B	-rw-r--r--	2023-07-26 17:26
to_s-i.ri	438 B	-rw-r--r--	2023-07-26 17:26
truncate-i.ri	815 B	-rw-r--r--	2023-07-26 17:26

Rename

U:RDoc::NormalClass[iI"
Rational:ET@I"Numeric;Fo:RDoc::Markup::Document:@parts[o;;[o:RDoc::Markup::Paragraph;[I"EA rational number can be represented as a paired integer number;;TI"Fa/b (b>0).  Where a is numerator and b is denominator.  Integer a;TI"(equals rational a/1 mathematically.;To:RDoc::Markup::BlankLine�o;	;[I"CIn ruby, you can create rational object with Rational, to_r or;TI"@rationalize method.  The return values will be irreducible.;T@o:RDoc::Markup::Verbatim;[	I" Rational(1)      #=> (1/1)
;FI" Rational(2, 3)   #=> (2/3)
;FI"!Rational(4, -6)  #=> (-2/3)
;FI" 3.to_r           #=> (3/1)
;Fo;	;[I"GYou can also create rational object from floating-point numbers or;TI"
strings.;T@o;;[
I"?Rational(0.3)    #=> (5404319552844595/18014398509481984)
;FI"!Rational('0.3')  #=> (3/10)
;FI" Rational('2/3')  #=> (2/3)
;FI"
;FI"?0.3.to_r         #=> (5404319552844595/18014398509481984)
;FI"!'0.3'.to_r       #=> (3/10)
;FI" '2/3'.to_r       #=> (2/3)
;FI"!0.3.rationalize  #=> (3/10)
;Fo;	;[I"CA rational object is an exact number, which helps you to write;TI")program without any rounding errors.;T@o;;[I"J10.times.inject(0){|t,| t + 0.1}              #=> 0.9999999999999999
;FI"=10.times.inject(0){|t,| t + Rational('0.1')}  #=> (1/1)
;Fo;	;[I"GHowever, when an expression has inexact factor (numerical value or;TI"0operation), will produce an inexact result.;T@o;;[
I"#Rational(10) / 3   #=> (10/3)
;FI"/Rational(10) / 3.0 #=> 3.3333333333333335
;FI"
;FI"$Rational(-8) ** Rational(1, 3)
;FI"D                   #=> (1.0000000000000002+1.7320508075688772i);F:
@fileI"rational.c;To;;[
o;	;[I"OWhen mathn is required Rational is changed to simplify the use of Rational;TI"operations.;T@o;	;[I"Normal behaviour:;T@o;;[I"1Rational.new!(1,3) ** 2 # => Rational(1, 9)
;FI"$(1 / 3) ** 2            # => 0
;Fo;	;[I"require 'mathn' behaviour:;T@o;;[I"%(1 / 3) ** 2            # => 1/9;F;I"lib/mathn.rb;T;0[�[�[�[[I"
class;F[[:public[[I"json_create;FI"&ext/json/lib/json/add/rational.rb;T[:protected[�[:private[�[I"
instance;F[[;
[[I"*;T@>[I"**;T@>[I"+;T@>[I"-;T@>[I"/;T@>[I"<=>;T@>[I"==;T@>[I"as_json;F@^[I"	ceil;T@>[I"denominator;T@>[I"	fdiv;T@>[I"
floor;T@>[I"inspect;T@>[I"numerator;T@>[I"quo;T@>[I"rationalize;T@>[I"
round;T@>[I"	to_d;FI"*ext/bigdecimal/lib/bigdecimal/util.rb;T[I"	to_f;T@>[I"	to_i;T@>[I"to_json;F@^[I"	to_r;T@>[I"	to_s;T@>[I"
truncate;T@>[;[�[;[�