mirror of
https://github.com/mruby/mruby
synced 2026-06-08 16:11:16 +00:00
Paolo Bosetti
119 lines
2.0 KiB
Ruby
119 lines
2.0 KiB
Ruby
##
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# Math Test
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##
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# Performs fuzzy check for equality on methods returning floats
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# on the basis of the Math::TOLERANCE constant.
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def check(a,b)
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a = a.to_f
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b = b.to_f
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if a.finite? and b.finite?
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(a-b).abs < Math::TOLERANCE
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else
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true
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end
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end
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assert('Math.sin 0') do
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check(Math.sin(0), 0)
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end
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assert('Math.sin PI/2') do
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check(Math.sin(Math::PI / 2), 1)
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end
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assert('Fundamental trig identities') do
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result = true
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N = 15
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N.times do |i|
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a = Math::PI / N * i
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ca = Math::PI / 2 - a
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s = Math.sin(a)
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c = Math.cos(a)
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t = Math.tan(a)
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result &= check(s, Math.cos(ca))
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result &= check(t, 1 / Math.tan(ca))
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result &= check(s ** 2 + c ** 2, 1)
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result &= check(t ** 2 + 1, (1/c) ** 2)
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result &= check((1/t) ** 2 + 1, (1/s) ** 2)
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end
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result
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end
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assert('Math.erf 0') do
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check(Math.erf(0), 0)
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end
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assert('Math.exp 0') do
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check(Math.exp(0), 1.0)
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end
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assert('Math.exp 1') do
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check(Math.exp(1), 2.718281828459045)
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end
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assert('Math.exp 1.5') do
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check(Math.exp(1.5), 4.4816890703380645)
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end
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assert('Math.log 1') do
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check(Math.log(1), 0)
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end
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assert('Math.log E') do
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check(Math.log(Math::E), 1.0)
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end
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assert('Math.log E**3') do
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check(Math.log(Math::E**3), 3.0)
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end
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assert('Math.log2 1') do
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check(Math.log2(1), 0.0)
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end
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assert('Math.log2 2') do
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check(Math.log2(2), 1.0)
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end
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assert('Math.log10 1') do
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check(Math.log10(1), 0.0)
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end
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assert('Math.log10 10') do
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check(Math.log10(10), 1.0)
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end
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assert('Math.log10 10**100') do
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check(Math.log10(10**100), 100.0)
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end
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assert('Math.cbrt') do
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num = [-2.0, -1.0, 0.0, 1.0, 2.0]
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cub = [-8, -1, 0, 1, 8]
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result = true
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cub.each_with_index do |v,i|
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result &= check(Math.cbrt(v), num[i])
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end
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result
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end
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assert('Math.hypot') do
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check(Math.hypot(3, 4), 5.0)
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end
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assert('Math.frexp 1234') do
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n = 1234
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fraction, exponent = Math.frexp(n)
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check(Math.ldexp(fraction, exponent), n)
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end
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assert('Math.erf 1') do
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check(Math.erf(1), 0.842700792949715)
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end
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assert('Math.erfc 1') do
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check(Math.erfc(1), 0.157299207050285)
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end
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