Add tests to `Math`

mrbgems/mruby-math/test/math.rb

 ##
 # Math Test
 
+def assert_float_and_int(exp_ary, act_ary)
+  assert('assert_float_and_int') do
+    flo_exp, int_exp, flo_act, int_act = *exp_ary, *act_ary
+    assert_float(flo_exp, flo_act)
+    assert_operator(int_exp, :eql?, int_act)
+  end
+end
+
 assert('Math.sin 0') do
   assert_float(0, Math.sin(0))
 end
@@ -109,12 +117,6 @@ assert('Math.hypot') do
   assert_float(5.0, Math.hypot(3, 4))
 end
 
-assert('Math.frexp 1234') do
-  n = 1234
-  fraction, exponent = Math.frexp(n)
-  assert_float(n, Math.ldexp(fraction, exponent))
-end
-
 assert('Math.erf 1') do
   assert_float(0.842700792949715, Math.erf(1))
 end
@@ -130,3 +132,108 @@ end
 assert('Math.erfc -1') do
   assert_float(1.8427007929497148, Math.erfc(-1))
 end
+
+assert('Math.acos') do
+  assert_float(0 * Math::PI / 4, Math.acos( 1.0))
+  assert_float(1 * Math::PI / 4, Math.acos( 1.0 / Math.sqrt(2)))
+  assert_float(2 * Math::PI / 4, Math.acos( 0.0))
+  assert_float(4 * Math::PI / 4, Math.acos(-1.0))
+  assert_raise(Math::DomainError) { Math.acos(+1.1) }
+  assert_raise(Math::DomainError) { Math.acos(-1.1) }
+end
+
+assert('Math.asin') do
+  assert_float( 0 * Math::PI / 4, Math.asin( 0.0))
+  assert_float( 1 * Math::PI / 4, Math.asin( 1.0 / Math.sqrt(2)))
+  assert_float( 2 * Math::PI / 4, Math.asin( 1.0))
+  assert_float(-2 * Math::PI / 4, Math.asin(-1.0))
+  assert_raise(Math::DomainError) { Math.asin(+1.1) }
+  assert_raise(Math::DomainError) { Math.asin(-1.1) }
+  assert_raise(Math::DomainError) { Math.asin(2.0) }
+end
+
+assert('Math.atan') do
+  assert_float( 0 * Math::PI / 4, Math.atan( 0.0))
+  assert_float( 1 * Math::PI / 4, Math.atan( 1.0))
+  assert_float( 2 * Math::PI / 4, Math.atan(1.0 / 0.0))
+  assert_float(-1 * Math::PI / 4, Math.atan(-1.0))
+end
+
+assert('Math.cosh') do
+  assert_float(1, Math.cosh(0))
+  assert_float((Math::E ** 1 + Math::E ** -1) / 2, Math.cosh(1))
+  assert_float((Math::E ** 2 + Math::E ** -2) / 2, Math.cosh(2))
+end
+
+assert('Math.sinh') do
+  assert_float(0, Math.sinh(0))
+  assert_float((Math::E ** 1 - Math::E ** -1) / 2, Math.sinh(1))
+  assert_float((Math::E ** 2 - Math::E ** -2) / 2, Math.sinh(2))
+end
+
+assert('Math.tanh') do
+  assert_float(Math.sinh(0) / Math.cosh(0), Math.tanh(0))
+  assert_float(Math.sinh(1) / Math.cosh(1), Math.tanh(1))
+  assert_float(Math.sinh(2) / Math.cosh(2), Math.tanh(2))
+  assert_float(+1.0, Math.tanh(+1000.0))
+  assert_float(-1.0, Math.tanh(-1000.0))
+end
+
+assert('Math.acosh') do
+  assert_float(0, Math.acosh(1))
+  assert_float(1, Math.acosh((Math::E ** 1 + Math::E ** -1) / 2))
+  assert_float(2, Math.acosh((Math::E ** 2 + Math::E ** -2) / 2))
+  assert_raise(Math::DomainError) { Math.acosh(0.9) }
+  assert_raise(Math::DomainError) { Math.acosh(0) }
+end
+
+assert('Math.asinh') do
+  assert_float(0, Math.asinh(0))
+  assert_float(1, Math.asinh((Math::E ** 1 - Math::E ** -1) / 2))
+  assert_float(2, Math.asinh((Math::E ** 2 - Math::E ** -2) / 2))
+end
+
+assert('Math.atanh') do
+  assert_float(0, Math.atanh(Math.sinh(0) / Math.cosh(0)))
+  assert_float(1, Math.atanh(Math.sinh(1) / Math.cosh(1)))
+  assert_float(2, Math.atanh(Math.sinh(2) / Math.cosh(2)))
+  assert_float(Float::INFINITY, Math.atanh(1))
+  assert_float(-Float::INFINITY, Math.atanh(-1))
+  assert_raise(Math::DomainError) { Math.atanh(+1.1) }
+  assert_raise(Math::DomainError) { Math.atanh(-1.1) }
+end
+
+assert('Math.atan2') do
+  assert_float(+0.0, Math.atan2(+0.0, +0.0))
+  assert_float(-0.0, Math.atan2(-0.0, +0.0))
+  assert_float(+Math::PI, Math.atan2(+0.0, -0.0))
+  assert_float(-Math::PI, Math.atan2(-0.0, -0.0))
+
+  inf = Float::INFINITY
+  expected = 3.0 * Math::PI / 4.0
+  assert_float(+expected, Math.atan2(+inf, -inf))
+  assert_float(-expected, Math.atan2(-inf, -inf))
+  expected = Math::PI / 4.0
+  assert_float(+expected, Math.atan2(+inf, +inf))
+  assert_float(-expected, Math.atan2(-inf, +inf))
+
+  assert_float(0, Math.atan2(0, 1))
+  assert_float(Math::PI / 4, Math.atan2(1, 1))
+  assert_float(Math::PI / 2, Math.atan2(1, 0))
+end
+
+assert('Math.ldexp') do
+  assert_float(0.0, Math.ldexp(0.0, 0.0))
+  assert_float(0.5, Math.ldexp(0.5, 0.0))
+  assert_float(1.0, Math.ldexp(0.5, 1.0))
+  assert_float(2.0, Math.ldexp(0.5, 2.0))
+  assert_float(3.0, Math.ldexp(0.75, 2.0))
+end
+
+assert('Math.frexp') do
+  assert_float_and_int([0.0,  0], Math.frexp(0.0))
+  assert_float_and_int([0.5,  0], Math.frexp(0.5))
+  assert_float_and_int([0.5,  1], Math.frexp(1.0))
+  assert_float_and_int([0.5,  2], Math.frexp(2.0))
+  assert_float_and_int([0.75, 2], Math.frexp(3.0))
+end