✏️ Editing: cdesc-Complex.ri Read Only

U:RDoc::NormalClass[iI"Complex:ET@I"Numeric;To:RDoc::Markup::Document:@parts[o;;[#o:RDoc::Markup::Paragraph;[I"0A \Complex object houses a pair of values, ;TI"Ogiven when the object is created as either <i>rectangular coordinates</i> ;TI"!or <i>polar coordinates</i>.;To:RDoc::Markup::BlankLine�S:RDoc::Markup::Heading:
leveli:	textI"Rectangular Coordinates;T@o;	;[I"5The rectangular coordinates of a complex number ;TI"2are called the _real_ and _imaginary_ parts; ;TI"^see {Complex number definition}[https://en.wikipedia.org/wiki/Complex_number#Definition].;T@o;	;[I"HYou can create a \Complex object from rectangular coordinates with:;T@o:RDoc::Markup::List:
@type:BULLET:@items[	o:RDoc::Markup::ListItem:@label0;[o;	;[I"MA {complex literal}[rdoc-ref:doc/syntax/literals.rdoc@Complex+Literals].;To;;0;[o;	;[I"\Method Complex.rect.;To;;0;[o;	;[I"\\Method Kernel#Complex, either with numeric arguments or with certain string arguments.;To;;0;[o;	;[I".\Method String#to_c, for certain strings.;T@o;	;[I"PNote that each of the stored parts may be a an instance one of the classes ;TI"+Complex, Float, Integer, or Rational; ;TI"they may be retrieved:;T@o;;;;[o;;0;[o;	;[I"ASeparately, with methods Complex#real and Complex#imaginary.;To;;0;[o;	;[I"(Together, with method Complex#rect.;T@o;	;[I"@The corresponding (computed) polar values may be retrieved:;T@o;;;;[o;;0;[o;	;[I":Separately, with methods Complex#abs and Complex#arg.;To;;0;[o;	;[I")Together, with method Complex#polar.;T@S;;i;
I"Polar Coordinates;T@o;	;[I"/The polar coordinates of a complex number ;TI"5are called the _absolute_ and _argument_ parts; ;TI"asee {Complex polar plane}[https://en.wikipedia.org/wiki/Complex_number#Polar_complex_plane].;T@o;	;[I"&In this class, the argument part ;TI"Bin expressed {radians}[https://en.wikipedia.org/wiki/Radian] ;TI"C(not {degrees}[https://en.wikipedia.org/wiki/Degree_(angle)]).;T@o;	;[I"BYou can create a \Complex object from polar coordinates with:;T@o;;;;[o;;0;[o;	;[I"\Method Complex.polar.;To;;0;[o;	;[I";\Method Kernel#Complex, with certain string arguments.;To;;0;[o;	;[I".\Method String#to_c, for certain strings.;T@o;	;[I"PNote that each of the stored parts may be a an instance one of the classes ;TI"+Complex, Float, Integer, or Rational; ;TI"they may be retrieved:;T@o;;;;[o;;0;[o;	;[I":Separately, with methods Complex#abs and Complex#arg.;To;;0;[o;	;[I")Together, with method Complex#polar.;T@o;	;[I"FThe corresponding (computed) rectangular values may be retrieved:;T@o;;;;[o;;0;[o;	;[I"<Separately, with methods Complex#real and Complex#imag.;To;;0;[o;	;[I"(Together, with method Complex#rect.;T:
@fileI"complex.c;T:0@omit_headings_from_table_of_contents_below0o;;[�;I"*ext/bigdecimal/lib/bigdecimal/util.rb;T;0o;;[�;I"%ext/json/lib/json/add/complex.rb;T;0;0;0[�[U:RDoc::Constant[i�I"I;TI"Complex::I;T:public0o;;[o;	;[I"Equivalent ;TI"to <tt>Complex(0, 1)</tt>:;T@o:RDoc::Markup::Verbatim;[I"Complex::I # => (0+1i);T:@format0;@�;0@�@cRDoc::NormalClass0[�[[I"
class;T[[;[�[:protected[�[:private[	[I"json_create;TI"%ext/json/lib/json/add/complex.rb;T[I"
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phase;T@�[I"
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real?;T@�[@�@�[I"rectangular;T@�[I"	to_c;T@�[I"	to_d;TI"*ext/bigdecimal/lib/bigdecimal/util.rb;T[I"	to_f;T@�[I"	to_i;T@�[I"to_json;T@�[I"	to_r;T@�[I"	to_s;T@�[�[U:RDoc::Context::Section[i�0o;;[�;0;0[I"complex.c;TI"*ext/bigdecimal/lib/bigdecimal/util.rb;TI"%ext/json/lib/json/add/complex.rb;T@�cRDoc::TopLevel

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