28 lines
1.1 KiB
Ruby
28 lines
1.1 KiB
Ruby
require "bigdecimal"
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testvalues = [[100000000000000.01, 100000000000000.011],
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[100.01, 100.011],
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[10000000000000.001 / 10000.0, 1000000000.0000001000],
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[0.001, 0.0010000001],
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[0.000000000000000000000101, 0.0],
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[(2**0.5) * (2**0.5), 2.0],
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[-(2**0.5) * (2**0.5), -2.0],
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[BigDecimal("3.14159265358979323846"), 3.14159265358979324],
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[Float::NAN, Float::NAN,],
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[Float::INFINITY, Float::INFINITY],
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]
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class Numeric
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def close_to?(num, tol = Float::EPSILON)
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return true if self == num
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return false if (self.to_f.nan? or num.to_f.nan?) # NaN is not even close to itself
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return false if [self, num].count( Float::INFINITY) == 1 # Infinity is only close to itself
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return false if [self, num].count(-Float::INFINITY) == 1
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(self-num).abs <= tol * ([self.abs, num.abs].max)
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end
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end
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testvalues.each do |a,b|
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puts "#{a} #{a.close_to?(b) ? '≈' : '≉'} #{b}"
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end
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