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require 'facets/math/acoth'
require 'facets/math/coth'
require 'facets/numeric/range' # used to test within a precision
test_case Math do
class_method :acoth do
test do
Math.acoth(1.5).range(1.0e-6).assert === 0.5 * Math.log(5.0)
Math.acoth(5.0).range(1.0e-6).assert === 0.5 * Math.log(1.5)
end
# 1.0e-6
test "check complementarity of acoth and coth" do
Math.acoth(Math.coth( 1.5)).range(1.0e-6).assert === 1.5
Math.coth(Math.acoth( 1.5)).range(1.0e-6).assert === 1.5
Math.acoth(Math.coth(-1.5)).range(1.0e-6).assert === -1.5
Math.coth(Math.acoth(-1.5)).range(1.0e-6).assert === -1.5
end
end
end