✏️ Editing: next_float-i.ri Read Only

U:RDoc::AnyMethod[iI"next_float:ETI"Float#next_float;TF:privateo:RDoc::Markup::Document:@parts[o:RDoc::Markup::Paragraph;	[I"2Returns the next-larger representable \Float.;To:RDoc::Markup::BlankLine�o;
;	[I"KThese examples show the internally stored values (64-bit hexadecimal) ;TI"Ifor each \Float +f+ and for the corresponding <tt>f.next_float</tt>:;T@o:RDoc::Markup::Verbatim;	[
I"'f = 0.0      # 0x0000000000000000
;TI"'f.next_float # 0x0000000000000001
;TI"
;TI"'f = 0.01     # 0x3f847ae147ae147b
;TI"'f.next_float # 0x3f847ae147ae147c
;T:@format0o;
;	[I"JIn the remaining examples here, the output is shown in the usual way ;TI"(result +to_s+):;T@o;;	[I"20.01.next_float    # => 0.010000000000000002
;TI"01.0.next_float     # => 1.0000000000000002
;TI"0100.0.next_float   # => 100.00000000000001
;TI"
;TI"f = 0.01
;TI"[(0..3).each_with_index {|i| printf "%2d %-20a %s\n", i, f, f.to_s; f = f.next_float }
;T;
0o;
;	[I"Output:;T@o;;	[I"" 0 0x1.47ae147ae147bp-7 0.01
;TI"2 1 0x1.47ae147ae147cp-7 0.010000000000000002
;TI"2 2 0x1.47ae147ae147dp-7 0.010000000000000004
;TI"2 3 0x1.47ae147ae147ep-7 0.010000000000000005
;TI"
;TI"%f = 0.0; 100.times { f += 0.1 }
;TI"bf                           # => 9.99999999999998       # should be 10.0 in the ideal world.
;TI"Y10-f                        # => 1.9539925233402755e-14 # the floating point error.
;TI"_10.0.next_float-10          # => 1.7763568394002505e-15 # 1 ulp (unit in the last place).
;TI"T(10-f)/(10.0.next_float-10) # => 11.0                   # the error is 11 ulp.
;TI"[(10-f)/(10*Float::EPSILON)  # => 8.8                    # approximation of the above.
;TI"1"%a" % 10                   # => "0x1.4p+3"
;TI"j"%a" % f                    # => "0x1.3fffffffffff5p+3" # the last hex digit is 5.  16 - 5 = 11 ulp.
;T;
0o;
;	[I"Related: Float#prev_float;T:
@fileI"numeric.c;T:0@omit_headings_from_table_of_contents_below0I"next_float -> float
;T0[�I"();T@;FI"
Float;TcRDoc::NormalClass00

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