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require 'test_helper'
class GSLTest < GSL::TestCase
def test_expm1
y = GSL.expm1(0.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.expm1(0.0)'
y = GSL.expm1(1e-10)
y_expected = 1.000000000050000000002e-10
assert_rel y, y_expected, 1e-15, 'GSL.expm1(1e-10)'
y = GSL.expm1(-1e-10)
y_expected = -9.999999999500000000017e-11
assert_rel y, y_expected, 1e-15, 'GSL.expm1(-1e-10)'
y = GSL.expm1(0.1)
y_expected = 0.1051709180756476248117078264902
assert_rel y, y_expected, 1e-15, 'GSL.expm1(0.1)'
y = GSL.expm1(-0.1)
y_expected = -0.09516258196404042683575094055356
assert_rel y, y_expected, 1e-15, 'GSL.expm1(-0.1)'
y = GSL.expm1(10.0)
y_expected = 22025.465794806716516957900645284
assert_rel y, y_expected, 1e-15, 'GSL.expm1(10.0)'
y = GSL.expm1(-10.0)
y_expected = -0.99995460007023751514846440848444
assert_rel y, y_expected, 1e-15, 'GSL.expm1(-10.0)'
end
def test_log1p
y = GSL.log1p(0.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.log1p(0.0)'
y = GSL.log1p(1e-10)
y_expected = 9.9999999995000000000333333333308e-11
assert_rel y, y_expected, 1e-15, 'GSL.log1p(1e-10)'
y = GSL.log1p(0.1)
y_expected = 0.095310179804324860043952123280765
assert_rel y, y_expected, 1e-15, 'GSL.log1p(0.1)'
y = GSL.log1p(10.0)
y_expected = 2.3978952727983705440619435779651
assert_rel y, y_expected, 1e-15, 'GSL.log1p(10.0)'
end
def test_hypot
y = GSL.hypot(0.0, 0.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.hypot(0.0, 0.0)'
y = GSL.hypot(1e-10, 1e-10)
y_expected = 1.414213562373095048801688e-10
assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e-10, 1e-10)'
y = GSL.hypot(1e-38, 1e-38)
y_expected = 1.414213562373095048801688e-38
assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e-38, 1e-38)'
y = GSL.hypot(1e-10, -1.0)
y_expected = 1.000000000000000000005
assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e-10, -1)'
y = GSL.hypot(-1.0, 1e-10)
y_expected = 1.000000000000000000005
assert_rel y, y_expected, 1e-15, 'GSL.hypot(-1, 1e-10)'
#y = GSL.hypot(1e307, 1e301)
#y_expected = 1.000000000000499999999999e307
#assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e307, 1e301)'
#y = GSL.hypot(1e301, 1e307)
#y_expected = 1.000000000000499999999999e307
#assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e301, 1e307)'
#y = GSL.hypot(1e307, 1e307)
#y_expected = 1.414213562373095048801688e307
#assert_rel y, y_expected, 1e-15, 'GSL.hypot(1e307, 1e307)'
end
def test_acosh
y = GSL.acosh(1.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.acosh(1.0)'
y = GSL.acosh(1.1)
y_expected = 4.435682543851151891329110663525e-1
assert_rel y, y_expected, 1e-15, 'GSL.acosh(1.1)'
y = GSL.acosh(10.0)
y_expected = 2.9932228461263808979126677137742e0
assert_rel y, y_expected, 1e-15, 'GSL.acosh(10.0)'
y = GSL.acosh(1e10)
y_expected = 2.3718998110500402149594646668302e1
assert_rel y, y_expected, 1e-15, 'GSL.acosh(1e10)'
end
def test_asinh
y = GSL.asinh(0.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.asinh(0.0)'
y = GSL.asinh(1e-10)
y_expected = 9.9999999999999999999833333333346e-11
assert_rel y, y_expected, 1e-15, 'GSL.asinh(1e-10)'
y = GSL.asinh(-1e-10)
y_expected = -9.9999999999999999999833333333346e-11
assert_rel y, y_expected, 1e-15, 'GSL.asinh(1e-10)'
y = GSL.asinh(0.1)
y_expected = 9.983407889920756332730312470477e-2
assert_rel y, y_expected, 1e-15, 'GSL.asinh(0.1)'
y = GSL.asinh(-0.1)
y_expected = -9.983407889920756332730312470477e-2
assert_rel y, y_expected, 1e-15, 'GSL.asinh(-0.1)'
y = GSL.asinh(1.0)
y_expected = 8.8137358701954302523260932497979e-1
assert_rel y, y_expected, 1e-15, 'GSL.asinh(1.0)'
y = GSL.asinh(-1.0)
y_expected = -8.8137358701954302523260932497979e-1
assert_rel y, y_expected, 1e-15, 'GSL.asinh(-1.0)'
y = GSL.asinh(10.0)
y_expected = 2.9982229502979697388465955375965e0
assert_rel y, y_expected, 1e-15, 'GSL.asinh(10)'
y = GSL.asinh(-10.0)
y_expected = -2.9982229502979697388465955375965e0
assert_rel y, y_expected, 1e-15, 'GSL.asinh(-10)'
y = GSL.asinh(1e10)
y_expected = 2.3718998110500402149599646668302e1
assert_rel y, y_expected, 1e-15, 'GSL.asinh(1e10)'
y = GSL.asinh(-1e10)
y_expected = -2.3718998110500402149599646668302e1
assert_rel y, y_expected, 1e-15, 'GSL.asinh(-1e10)'
end
def test_atanh
y = GSL.atanh(0.0)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.atanh(0.0)'
y = GSL.atanh(1e-20)
y_expected = 1e-20
assert_rel y, y_expected, 1e-15, 'GSL.atanh(1e-20)'
y = GSL.atanh(-1e-20)
y_expected = -1e-20
assert_rel y, y_expected, 1e-15, 'GSL.atanh(-1e-20)'
y = GSL.atanh(0.1)
y_expected = 1.0033534773107558063572655206004e-1
assert_rel y, y_expected, 1e-15, 'GSL.atanh(0.1)'
y = GSL.atanh(-0.1)
y_expected = -1.0033534773107558063572655206004e-1
assert_rel y, y_expected, 1e-15, 'GSL.atanh(-0.1)'
y = GSL.atanh(0.9)
y_expected = 1.4722194895832202300045137159439e0
assert_rel y, y_expected, 1e-15, 'GSL.atanh(0.9)'
y = GSL.atanh(-0.9)
y_expected = -1.4722194895832202300045137159439e0
assert_rel y, y_expected, 1e-15, 'GSL.atanh(0.9)'
end
def test_pow_int
y = GSL.pow_2(-3.14)
y_expected = GSL.pow(-3.14, 2.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_2(-3.14)'
y = GSL.pow_3(-3.14)
y_expected = GSL.pow(-3.14, 3.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_3(-3.14)'
y = GSL.pow_4(-3.14)
y_expected = GSL.pow(-3.14, 4.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_4(-3.14)'
y = GSL.pow_5(-3.14)
y_expected = GSL.pow(-3.14, 5.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_5(-3.14)'
y = GSL.pow_6(-3.14)
y_expected = GSL.pow(-3.14, 6.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_6(-3.14)'
y = GSL.pow_7(-3.14)
y_expected = GSL.pow(-3.14, 7.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_7(-3.14)'
y = GSL.pow_8(-3.14)
y_expected = GSL.pow(-3.14, 8.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_8(-3.14)'
y = GSL.pow_9(-3.14)
y_expected = GSL.pow(-3.14, 9.0)
assert_rel y, y_expected, 1e-15, 'GSL.pow_9(-3.14)'
-9.upto(9) { |n|
y = GSL.pow_int(-3.14, n)
y_expected = GSL.pow(-3.14, n)
assert_rel y, y_expected, 1e-15, "GSL.pow_n(-3.14,#{n})"
}
end
def test_ldexp
y = GSL.ldexp(GSL::M_PI, -2)
y_expected = GSL::M_PI_4
assert_rel y, y_expected, 1e-15, 'GSL.ldexp(pi,-2)'
y = GSL.ldexp(1.0, 2)
y_expected = 4.000000
assert_rel y, y_expected, 1e-15, 'GSL.ldexp(1.0,2)'
y = GSL.ldexp(0.0, 2)
y_expected = 0.0
assert_rel y, y_expected, 1e-15, 'GSL.ldexp(0.0,2)'
end
def test_frexp
y, e = GSL.frexp(GSL::M_PI)
y_expected = GSL::M_PI_4
e_expected = 2
assert_rel y, y_expected, 1e-15, 'GSL.frexp(pi) fraction'
assert_int e, e_expected, 'GSL.frexp(pi) exponent'
y, e = GSL.frexp(2.0)
y_expected = 0.5
e_expected = 2
assert_rel y, y_expected, 1e-15, 'GSL.frexp(2.0) fraction'
assert_int e, e_expected, 'GSL.frexp(2.0) exponent'
y, e = GSL.frexp(1.0 / 4.0)
y_expected = 0.5
e_expected = -1
assert_rel y, y_expected, 1e-15, 'GSL.frexp(0.25) fraction'
assert_int e, e_expected, 'GSL.frexp(0.25) exponent'
y, e = GSL.frexp(1.0 / 4.0 - 4.0 * GSL::DBL_EPSILON)
y_expected = 0.999999999999996447
e_expected = -2
assert_rel y, y_expected, 1e-15, 'GSL.frexp(0.25-eps) fraction'
assert_int e, e_expected, 'GSL.frexp(0.25-eps) exponent'
end
def test_gsl
x = GSL::M_PI
y = 22.0 / 7.0
10.times { |i|
tol = GSL.pow(10, -i)
res = GSL.fcmp(x, y, tol)
assert_int res, i >= 4 ? -1 : 0, "GSL.fcmp(#{x},#{y},#{tol})"
res = GSL.fcmp(y, x, tol)
assert_int res, i >= 4 ? 1 : 0, "GSL.fcmp(#{y},#{x},#{tol})"
}
zero = 0.0
one = 1.0
inf = Math.exp(1.0e10)
nan = inf / inf
s = GSL.isinf(zero)
assert_int s, 0, 'GSL.isinf(0)'
s = GSL.isinf(one)
assert_int s, 0, 'GSL.isinf(1)'
s = GSL.isinf(inf)
assert_int s, 1, 'GSL.isinf(inf)'
# Commented out 2008/Oct/17 by YT
# This test fails in (Darwin 9.5.0, gcc4.0.1):
# gsl_isinf() returns 1 for -inf
#s = GSL.isinf(-inf)
#assert_int s, -1, 'GSL.isinf(-inf)'
s = GSL.isinf(nan)
assert_int s, 0, 'GSL.isinf(nan)'
s = GSL.isnan(zero)
assert_int s, 0, 'GSL.isnan(0)'
s = GSL.isnan(one)
assert_int s, 0, 'GSL.isnan(1)'
s = GSL.isnan(inf)
assert_int s, 0, 'GSL.isnan(inf)'
s = GSL.isnan(nan)
assert_int s, 1, 'GSL.isnan(nan)'
s = GSL.finite(zero)
assert_int s, 1, 'GSL.finite(0)'
s = GSL.finite(one)
assert_int s, 1, 'GSL.finite(1)'
s = GSL.finite(inf)
assert_int s, 0, 'GSL.finite(inf)'
s = GSL.finite(nan)
assert_int s, 0, 'GSL.finite(nan)'
end
end
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