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Name	Size	Permission	Date
compatible	[ DIR ]	drwxr-xr-x	2026-05-01 04:23
%2a%2a-i.ri	706 B	-rw-r--r--	2023-07-26 18:18
%2a-i.ri	654 B	-rw-r--r--	2023-07-26 18:18
%2b-i.ri	653 B	-rw-r--r--	2023-07-26 18:18
%2d%40-i.ri	296 B	-rw-r--r--	2023-07-26 18:18
%2d-i.ri	655 B	-rw-r--r--	2023-07-26 18:18
%2f-i.ri	654 B	-rw-r--r--	2023-07-26 18:18
%3c%3d%3e-i.ri	737 B	-rw-r--r--	2023-07-26 18:18
%3d%3d-i.ri	672 B	-rw-r--r--	2023-07-26 18:18
abs-i.ri	510 B	-rw-r--r--	2023-07-26 18:18
as_json-i.ri	379 B	-rw-r--r--	2023-07-26 18:18
cdesc-Rational.ri	2.65 KB	-rw-r--r--	2023-07-26 18:18
ceil-i.ri	854 B	-rw-r--r--	2023-07-26 18:18
denominator-i.ri	663 B	-rw-r--r--	2023-07-26 18:18
fdiv-i.ri	592 B	-rw-r--r--	2023-07-26 18:18
floor-i.ri	863 B	-rw-r--r--	2023-07-26 18:18
inspect-i.ri	541 B	-rw-r--r--	2023-07-26 18:18
json_create-c.ri	430 B	-rw-r--r--	2023-07-26 18:18
magnitude-i.ri	522 B	-rw-r--r--	2023-07-26 18:18
negative%3f-i.ri	348 B	-rw-r--r--	2023-07-26 18:18
numerator-i.ri	561 B	-rw-r--r--	2023-07-26 18:18
positive%3f-i.ri	351 B	-rw-r--r--	2023-07-26 18:18
quo-i.ri	658 B	-rw-r--r--	2023-07-26 18:18
rationalize-i.ri	771 B	-rw-r--r--	2023-07-26 18:18
round-i.ri	903 B	-rw-r--r--	2023-07-26 18:18
to_d-i.ri	722 B	-rw-r--r--	2023-07-26 18:18
to_f-i.ri	546 B	-rw-r--r--	2023-07-26 18:18
to_i-i.ri	625 B	-rw-r--r--	2023-07-26 18:18
to_json-i.ri	405 B	-rw-r--r--	2023-07-26 18:18
to_r-i.ri	444 B	-rw-r--r--	2023-07-26 18:18
to_s-i.ri	502 B	-rw-r--r--	2023-07-26 18:18
truncate-i.ri	879 B	-rw-r--r--	2023-07-26 18:18

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"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.;To:RDoc::Markup::BlankLine�o;;[I"BIn ruby, you can create rational object with Rational, to_r, ;TI"\rationalize method or suffixing r to a literal.  The return values will be irreducible.;T@o:RDoc::Markup::Verbatim;[
I" Rational(1)      #=> (1/1)
;TI" Rational(2, 3)   #=> (2/3)
;TI"!Rational(4, -6)  #=> (-2/3)
;TI" 3.to_r           #=> (3/1)
;TI" 2/3r             #=> (2/3)
;T:@format0o;;[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"**;T@][I"+;T@][I"-;T@][I"-@;T@][I"/;T@][I"<=>;T@][I"==;T@][I"abs;T@][I"as_json;F@Q[I"	ceil;T@][I"denominator;T@][I"	fdiv;T@][I"
floor;T@][I"inspect;T@][I"magnitude;T@][I"negative?;T@][I"numerator;T@][I"positive?;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@Q[I"	to_r;T@][I"	to_s;T@][I"
truncate;T@][;[�[;[�[�[U:RDoc::Context::Section[i�0o;;[�;	0;
0[@
@@E@EcRDoc::TopLevel