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Name	Size	Permission	Date
compatible	[ DIR ]	drwxr-xr-x	2026-05-01 04:24
%2a%2a-i.ri	379 B	-rw-r--r--	2023-07-26 17:38
%2a-i.ri	653 B	-rw-r--r--	2023-07-26 17:38
%2b-i.ri	652 B	-rw-r--r--	2023-07-26 17:38
%2d-i.ri	654 B	-rw-r--r--	2023-07-26 17:38
%2f-i.ri	684 B	-rw-r--r--	2023-07-26 17:38
%3c%3d%3e-i.ri	736 B	-rw-r--r--	2023-07-26 17:38
%3d%3d-i.ri	671 B	-rw-r--r--	2023-07-26 17:38
as_json-i.ri	252 B	-rw-r--r--	2023-07-26 17:38
cdesc-Rational.ri	2.88 KB	-rw-r--r--	2023-07-26 17:38
ceil-i.ri	853 B	-rw-r--r--	2023-07-26 17:38
denominator-i.ri	662 B	-rw-r--r--	2023-07-26 17:38
fdiv-i.ri	591 B	-rw-r--r--	2023-07-26 17:38
floor-i.ri	862 B	-rw-r--r--	2023-07-26 17:38
inspect-i.ri	540 B	-rw-r--r--	2023-07-26 17:38
json_create-c.ri	266 B	-rw-r--r--	2023-07-26 17:38
numerator-i.ri	560 B	-rw-r--r--	2023-07-26 17:38
quo-i.ri	688 B	-rw-r--r--	2023-07-26 17:38
rationalize-i.ri	770 B	-rw-r--r--	2023-07-26 17:38
round-i.ri	893 B	-rw-r--r--	2023-07-26 17:38
to_d-i.ri	840 B	-rw-r--r--	2023-07-26 17:38
to_f-i.ri	545 B	-rw-r--r--	2023-07-26 17:38
to_i-i.ri	632 B	-rw-r--r--	2023-07-26 17:38
to_json-i.ri	252 B	-rw-r--r--	2023-07-26 17:38
to_r-i.ri	443 B	-rw-r--r--	2023-07-26 17:38
to_s-i.ri	501 B	-rw-r--r--	2023-07-26 17:38
truncate-i.ri	878 B	-rw-r--r--	2023-07-26 17:38

Rename

U:RDoc::NormalClass[iI"
Rational:ET@I"Numeric;To:RDoc::Markup::Document:@parts[	o;;[�:
@fileI"*ext/bigdecimal/lib/bigdecimal/util.rb;T:0@omit_headings_from_table_of_contents_below0o;;[�;	I"&ext/json/lib/json/add/rational.rb;T;
0o;;[
o:RDoc::Markup::Paragraph;[I"PWhen mathn is required Rational is changed to simplify the use of Rational ;TI"operations.;To:RDoc::Markup::BlankLine�o;;[I"Normal behaviour:;T@o:RDoc::Markup::Verbatim;[I"1Rational.new!(1,3) ** 2 # => Rational(1, 9)
;TI"$(1 / 3) ** 2            # => 0
;T:@format0o;;[I"require 'mathn' behaviour:;T@o;
;[I"%(1 / 3) ** 2            # => 1/9;T;0;	I"lib/mathn.rb;T;
0o;;[o;;[I"FA rational number can be represented as a paired integer number; ;TI"Ga/b (b>0).  Where a is numerator and b is denominator.  Integer a ;TI"(equals rational a/1 mathematically.;T@o;;[I"DIn ruby, you can create rational object with Rational, to_r or ;TI"@rationalize method.  The return values will be irreducible.;T@o;
;[	I" Rational(1)      #=> (1/1)
;TI" Rational(2, 3)   #=> (2/3)
;TI"!Rational(4, -6)  #=> (-2/3)
;TI" 3.to_r           #=> (3/1)
;T;0o;;[I"HYou can also create rational object from floating-point numbers or ;TI"
strings.;T@o;
;[
I"?Rational(0.3)    #=> (5404319552844595/18014398509481984)
;TI"!Rational('0.3')  #=> (3/10)
;TI" Rational('2/3')  #=> (2/3)
;TI"
;TI"?0.3.to_r         #=> (5404319552844595/18014398509481984)
;TI"!'0.3'.to_r       #=> (3/10)
;TI" '2/3'.to_r       #=> (2/3)
;TI"!0.3.rationalize  #=> (3/10)
;T;0o;;[I"DA rational object is an exact number, which helps you to write ;TI")program without any rounding errors.;T@o;
;[I"J10.times.inject(0){|t,| t + 0.1}              #=> 0.9999999999999999
;TI"=10.times.inject(0){|t,| t + Rational('0.1')}  #=> (1/1)
;T;0o;;[I"HHowever, when an expression has inexact factor (numerical value or ;TI"0operation), will produce an inexact result.;T@o;
;[
I"#Rational(10) / 3   #=> (10/3)
;TI"/Rational(10) / 3.0 #=> 3.3333333333333335
;TI"
;TI"$Rational(-8) ** Rational(1, 3)
;TI"D                   #=> (1.0000000000000002+1.7320508075688772i);T;0;	I"rational.c;T;
0;	0;
0[�[�[�[[I"
class;T[[:public[[I"json_create;FI"&ext/json/lib/json/add/rational.rb;T[:protected[�[:private[�[I"
instance;T[[;[[I"*;TI"rational.c;T[I"**;TI"lib/mathn.rb;T[I"+;T@p[I"-;T@p[I"/;T@p[I"<=>;T@p[I"==;T@p[I"as_json;F@d[I"	ceil;T@p[I"denominator;T@p[I"	fdiv;T@p[I"
floor;T@p[I"inspect;T@p[I"numerator;T@p[I"quo;T@p[I"rationalize;T@p[I"
round;T@p[I"	to_d;FI"*ext/bigdecimal/lib/bigdecimal/util.rb;T[I"	to_f;T@p[I"	to_i;T@p[I"to_json;F@d[I"	to_r;T@p[I"	to_s;T@p[I"
truncate;T@p[;[�[;[�[�[U:RDoc::Context::Section[i�0o;;[�;	0;
0[	@
@@%@X@XcRDoc::TopLevel