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Name	Size	Permission	Date
%2a%2a-i.ri	694 B	-rw-r--r--	2024-06-26 17:25
%2a-i.ri	655 B	-rw-r--r--	2024-06-26 17:25
%2b-i.ri	654 B	-rw-r--r--	2024-06-26 17:25
%2d%40-i.ri	297 B	-rw-r--r--	2024-06-26 17:25
%2d-i.ri	657 B	-rw-r--r--	2024-06-26 17:25
%2f-i.ri	700 B	-rw-r--r--	2024-06-26 17:25
%3c%3d%3e-i.ri	857 B	-rw-r--r--	2024-06-26 17:25
%3d%3d-i.ri	679 B	-rw-r--r--	2024-06-26 17:25
abs-i.ri	570 B	-rw-r--r--	2024-06-26 17:25
as_json-i.ri	380 B	-rw-r--r--	2024-06-26 17:25
cdesc-Rational.ri	2.82 KB	-rw-r--r--	2024-06-26 17:25
ceil-i.ri	1.09 KB	-rw-r--r--	2024-06-26 17:25
denominator-i.ri	615 B	-rw-r--r--	2024-06-26 17:25
fdiv-i.ri	593 B	-rw-r--r--	2024-06-26 17:25
floor-i.ri	1.1 KB	-rw-r--r--	2024-06-26 17:25
hash-i.ri	224 B	-rw-r--r--	2024-06-26 17:25
inspect-i.ri	542 B	-rw-r--r--	2024-06-26 17:25
json_create-c.ri	431 B	-rw-r--r--	2024-06-26 17:25
magnitude-i.ri	514 B	-rw-r--r--	2024-06-26 17:25
negative%3f-i.ri	350 B	-rw-r--r--	2024-06-26 17:25
numerator-i.ri	562 B	-rw-r--r--	2024-06-26 17:25
positive%3f-i.ri	353 B	-rw-r--r--	2024-06-26 17:25
quo-i.ri	636 B	-rw-r--r--	2024-06-26 17:25
rationalize-i.ri	772 B	-rw-r--r--	2024-06-26 17:25
round-i.ri	1.73 KB	-rw-r--r--	2024-06-26 17:25
to_d-i.ri	723 B	-rw-r--r--	2024-06-26 17:25
to_f-i.ri	548 B	-rw-r--r--	2024-06-26 17:25
to_i-i.ri	631 B	-rw-r--r--	2024-06-26 17:25
to_json-i.ri	410 B	-rw-r--r--	2024-06-26 17:25
to_r-i.ri	445 B	-rw-r--r--	2024-06-26 17:25
to_s-i.ri	503 B	-rw-r--r--	2024-06-26 17:25
truncate-i.ri	1.1 KB	-rw-r--r--	2024-06-26 17:25

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"HA rational number can be represented as a pair of integer numbers: ;TI"Ca/b (b>0), where a is the numerator and b is the denominator. ;TI"2Integer a equals rational a/1 mathematically.;To:RDoc::Markup::BlankLine�o;;[I"HIn Ruby, you can create rational objects with the Kernel#Rational, ;TI"Dto_r, or rationalize methods or by suffixing +r+ to a literal. ;TI"5The return values will be irreducible fractions.;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"IYou can also create rational objects 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"*programs without any rounding errors.;T@o;
;[I"K10.times.inject(0) {|t| t + 0.1 }              #=> 0.9999999999999999
;TI">10.times.inject(0) {|t| t + Rational('0.1') }  #=> (1/1)
;T;0o;;[I"PHowever, when an expression includes an inexact component (numerical value ;TI"6or operation), it 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;
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