Determines if another number is approximately equal within a given _n_th degree. Defaults to 100ths if the degree is not specified.
Currently defaults to 1/10,000,000 if the degree is not specified. But this may change once a "most commonly useful" factor is determined.
This is the same a {close?} but has a different defualt.
@author Gavin Sinclair
# File lib/core/facets/numeric/approx.rb, line 13 def approx?(x, n=0.0000001) close?(x, n) end
# File lib/core/facets/kernel/blank.rb, line 80 def blank? false end
# File lib/core/facets/object/dup.rb, line 78 def clone? ; false ; end
Determines if another number is approximately equal within a given epsilon.
This is the same a {approx?} but has a different defualt.
@author Gavin Sinclair
# File lib/core/facets/numeric/approx.rb, line 23 def close?(number, epsilon=0.01) return(self == number) if epsilon.zero? a, b = self.to_f, number.to_f if a.zero? or b.zero? ## There's no scale, so we can only go on difference. (a - b).abs < @epsilon else ## We go by ratio. The ratio of two equal numbers is one, so the ratio ## of two practically-equal floats will be very nearly one. (a/b - 1).abs < epsilon end end
Returns the distance between self an another value. This is the same as #- but it provides an alternative for common naming between variant classes.
4.distance(3) #=> 1
# File lib/core/facets/numeric/distance.rb, line 9 def distance(other) self - other end
Returns self, useful for polymorphic cases.
# File lib/core/facets/numeric/length.rb, line 5 def length self end
Is a number less than zero.
# File lib/core/facets/numeric/positive.rb, line 11 def negative? self < 0 end
Is a number greater than zero.
# File lib/core/facets/numeric/positive.rb, line 5 def positive? self > 0 end
Conceptually, rounding is expected to apply to floating point numbers. However it can actually be applied to pretty much any Numeric object. For example, one could round an Integer to the nearest kilo.
See Float#round_at.
# File lib/core/facets/numeric/round.rb, line 9 def round_at(*args) to_f.round_at(*args) end
See Float#round_to.
# File lib/core/facets/numeric/round.rb, line 15 def round_to(*args) to_f.round_to(*args) end
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