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/usr/share/doc/ruby-gsl/examples/math/functions.rb is in ruby-gsl 2.1.0.3+dfsg1-1build1.

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#!/usr/bin/env ruby
require("gsl")

puts("gsl_log1p")
p GSL::log1p(0.1)

a = GSL::Vector.alloc(0.1, 1, 2, 3, 4)
p GSL::log1p(a)

b = GSL::Matrix.alloc([1, 2], [3, 4])
p GSL::log1p(b)
exit

puts("gsl_expm1")
p GSL::expm1(0.1)
p Math::exp(0.1) - 1.0

puts("gsl_hypot")
p GSL::hypot(20000, 30000)
p Math::sqrt(20000*20000 + 30000*30000)

puts("gsl_acosh")
p GSL::acosh(1.5)
p Math::acosh(1.5)

puts("gsl_asinh")
p GSL::asinh(1.5)
p Math::asinh(1.5)

puts("gsl_atanh")
p GSL::atanh(0.5)
p Math::atanh(0.5)

puts("gsl_ldexp")
p GSL::ldexp(1.5, 8)
p Math::ldexp(1.5, 8)

puts("gsl_frexp")
p GSL::frexp(100)
p Math::frexp(100)