diff options
| author | tadf <tadf@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> | 2008-09-23 12:34:35 +0000 |
|---|---|---|
| committer | tadf <tadf@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> | 2008-09-23 12:34:35 +0000 |
| commit | 74cb0507abebb251245a02128b767a37aa507a4e (patch) | |
| tree | 9e2db0bc974b17f7d61266106b8a30e77c9e9102 /test | |
| parent | e7e5b731c2033b337f4e2c9ac373f67e132694a0 (diff) | |
* test/ruby/test_rational2.rb: updated.
* test/ruby/test_complex2.rb: added.
* test/ruby/test_complexrational.rb: added.
git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@19491 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
Diffstat (limited to 'test')
| -rw-r--r-- | test/ruby/test_complex2.rb | 735 | ||||
| -rw-r--r-- | test/ruby/test_complexrational.rb | 407 | ||||
| -rw-r--r-- | test/ruby/test_rational2.rb | 26 |
3 files changed, 1168 insertions, 0 deletions
diff --git a/test/ruby/test_complex2.rb b/test/ruby/test_complex2.rb new file mode 100644 index 0000000000..4e960c3e36 --- /dev/null +++ b/test/ruby/test_complex2.rb @@ -0,0 +1,735 @@ +require 'test/unit' + +class Complex_Test2 < Test::Unit::TestCase + + def test_kumi + return unless defined?(Rational) + + assert_equal(Complex(1, 0), +Complex(1, 0)) + assert_equal(Complex(-1, 0), -Complex(1, 0)) + assert_equal(Complex(2, 0), + Complex(1, 0) + Complex(1, 0)) + assert_equal(Complex(0, 0), + Complex(1, 0) - Complex(1, 0)) + assert_equal(Complex(1, 0), + Complex(1, 0) * Complex(1, 0)) + assert_equal(Complex(1, 0), + Complex(1, 0) / Complex(1, 0)) + assert_equal(Complex(1073741790, 0), + Complex(1, 0) + Complex(1073741789, 0)) + assert_equal(Complex(-1073741788, 0), + Complex(1, 0) - Complex(1073741789, 0)) + assert_equal(Complex(1073741789, 0), + Complex(1, 0) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1, 1073741789), 0), + Complex(1, 0) / Complex(1073741789, 0)) + assert_equal(Complex(1073741828, 0), + Complex(1, 0) + Complex(1073741827, 0)) + assert_equal(Complex(-1073741826, 0), + Complex(1, 0) - Complex(1073741827, 0)) + assert_equal(Complex(1073741827, 0), + Complex(1, 0) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1, 1073741827), 0), + Complex(1, 0) / Complex(1073741827, 0)) + assert_equal(Complex(1073741790, 1073741789), + Complex(1, 0) + Complex(1073741789, 1073741789)) + assert_equal(Complex(-1073741788, -1073741789), + Complex(1, 0) - Complex(1073741789, 1073741789)) + assert_equal(Complex(1073741789, 1073741789), + Complex(1, 0) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1, 2147483578), Rational(-1, 2147483578)), + Complex(1, 0) / Complex(1073741789, 1073741789)) + assert_equal(Complex(1073741790, 1073741827), + Complex(1, 0) + Complex(1073741789, 1073741827)) + assert_equal(Complex(-1073741788, -1073741827), + Complex(1, 0) - Complex(1073741789, 1073741827)) + assert_equal(Complex(1073741789, 1073741827), + Complex(1, 0) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1073741789, 2305842940494218450), Rational(-1073741827, 2305842940494218450)), + Complex(1, 0) / Complex(1073741789, 1073741827)) + assert_equal(Complex(1073741828, 1073741827), + Complex(1, 0) + Complex(1073741827, 1073741827)) + assert_equal(Complex(-1073741826, -1073741827), + Complex(1, 0) - Complex(1073741827, 1073741827)) + assert_equal(Complex(1073741827, 1073741827), + Complex(1, 0) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1, 2147483654), Rational(-1, 2147483654)), + Complex(1, 0) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741789, 1073741827)), + Complex(1, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(38, 1073741827), Rational(-1073741789, 1073741827)), + Complex(1, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), + Complex(1, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1073741827, 2147483578), Rational(-1073741827, 2147483578)), + Complex(1, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(2147483616, 1073741789), Rational(1073741827, 1073741789)), + Complex(1, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-38, 1073741789), Rational(-1073741827, 1073741789)), + Complex(1, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), + Complex(1, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741789, 2147483654), Rational(-1073741789, 2147483654)), + Complex(1, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741827, 1073741789)), + Complex(1, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(38, 1073741827), Rational(-1073741827, 1073741789)), + Complex(1, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)), + Complex(1, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1329227869515035739611240300898290063, 2658455833113515253509575011810600482), Rational(-1329227963598474519442525600436190287, 2658455833113515253509575011810600482)), + Complex(1, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741789, 0), +Complex(1073741789, 0)) + assert_equal(Complex(-1073741789, 0), -Complex(1073741789, 0)) + assert_equal(Complex(1073741790, 0), + Complex(1073741789, 0) + Complex(1, 0)) + assert_equal(Complex(1073741788, 0), + Complex(1073741789, 0) - Complex(1, 0)) + assert_equal(Complex(1073741789, 0), + Complex(1073741789, 0) * Complex(1, 0)) + assert_equal(Complex(1073741789, 0), + Complex(1073741789, 0) / Complex(1, 0)) + assert_equal(Complex(2147483578, 0), + Complex(1073741789, 0) + Complex(1073741789, 0)) + assert_equal(Complex(0, 0), + Complex(1073741789, 0) - Complex(1073741789, 0)) + assert_equal(Complex(1152921429444920521, 0), + Complex(1073741789, 0) * Complex(1073741789, 0)) + assert_equal(Complex(1, 0), + Complex(1073741789, 0) / Complex(1073741789, 0)) + assert_equal(Complex(2147483616, 0), + Complex(1073741789, 0) + Complex(1073741827, 0)) + assert_equal(Complex(-38, 0), + Complex(1073741789, 0) - Complex(1073741827, 0)) + assert_equal(Complex(1152921470247108503, 0), + Complex(1073741789, 0) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), 0), + Complex(1073741789, 0) / Complex(1073741827, 0)) + assert_equal(Complex(2147483578, 1073741789), + Complex(1073741789, 0) + Complex(1073741789, 1073741789)) + assert_equal(Complex(0, -1073741789), + Complex(1073741789, 0) - Complex(1073741789, 1073741789)) + assert_equal(Complex(1152921429444920521, 1152921429444920521), + Complex(1073741789, 0) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1, 2), Rational(-1, 2)), + Complex(1073741789, 0) / Complex(1073741789, 1073741789)) + assert_equal(Complex(2147483578, 1073741827), + Complex(1073741789, 0) + Complex(1073741789, 1073741827)) + assert_equal(Complex(0, -1073741827), + Complex(1073741789, 0) - Complex(1073741789, 1073741827)) + assert_equal(Complex(1152921429444920521, 1152921470247108503), + Complex(1073741789, 0) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921429444920521, 2305842940494218450), Rational(-1152921470247108503, 2305842940494218450)), + Complex(1073741789, 0) / Complex(1073741789, 1073741827)) + assert_equal(Complex(2147483616, 1073741827), + Complex(1073741789, 0) + Complex(1073741827, 1073741827)) + assert_equal(Complex(-38, -1073741827), + Complex(1073741789, 0) - Complex(1073741827, 1073741827)) + assert_equal(Complex(1152921470247108503, 1152921470247108503), + Complex(1073741789, 0) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1073741789, 2147483654), Rational(-1073741789, 2147483654)), + Complex(1073741789, 0) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741789, 1073741827)), + Complex(1073741789, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(-1073741789, 1073741827)), + Complex(1073741789, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921429444920521, 1073741827), Rational(1152921429444920521, 1073741827)), + Complex(1073741789, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1073741827, 2), Rational(-1073741827, 2)), + Complex(1073741789, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1073741827, 1073741789)), + Complex(1073741789, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(-1073741827, 1073741789)), + Complex(1073741789, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741827, 1073741827), + Complex(1073741789, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921429444920521, 2147483654), Rational(-1152921429444920521, 2147483654)), + Complex(1073741789, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741827, 1073741789)), + Complex(1073741789, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(-1073741827, 1073741789)), + Complex(1073741789, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921429444920521, 1073741827), 1073741827), + Complex(1073741789, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1427247510601733037449111325195428279286542707, 2658455833113515253509575011810600482), Rational(-1427247611623052908177132720890654139107803443, 2658455833113515253509575011810600482)), + Complex(1073741789, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741827, 0), +Complex(1073741827, 0)) + assert_equal(Complex(-1073741827, 0), -Complex(1073741827, 0)) + assert_equal(Complex(1073741828, 0), + Complex(1073741827, 0) + Complex(1, 0)) + assert_equal(Complex(1073741826, 0), + Complex(1073741827, 0) - Complex(1, 0)) + assert_equal(Complex(1073741827, 0), + Complex(1073741827, 0) * Complex(1, 0)) + assert_equal(Complex(1073741827, 0), + Complex(1073741827, 0) / Complex(1, 0)) + assert_equal(Complex(2147483616, 0), + Complex(1073741827, 0) + Complex(1073741789, 0)) + assert_equal(Complex(38, 0), + Complex(1073741827, 0) - Complex(1073741789, 0)) + assert_equal(Complex(1152921470247108503, 0), + Complex(1073741827, 0) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1073741827, 1073741789), 0), + Complex(1073741827, 0) / Complex(1073741789, 0)) + assert_equal(Complex(2147483654, 0), + Complex(1073741827, 0) + Complex(1073741827, 0)) + assert_equal(Complex(0, 0), + Complex(1073741827, 0) - Complex(1073741827, 0)) + assert_equal(Complex(1152921511049297929, 0), + Complex(1073741827, 0) * Complex(1073741827, 0)) + assert_equal(Complex(1, 0), + Complex(1073741827, 0) / Complex(1073741827, 0)) + assert_equal(Complex(2147483616, 1073741789), + Complex(1073741827, 0) + Complex(1073741789, 1073741789)) + assert_equal(Complex(38, -1073741789), + Complex(1073741827, 0) - Complex(1073741789, 1073741789)) + assert_equal(Complex(1152921470247108503, 1152921470247108503), + Complex(1073741827, 0) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1073741827, 2147483578), Rational(-1073741827, 2147483578)), + Complex(1073741827, 0) / Complex(1073741789, 1073741789)) + assert_equal(Complex(2147483616, 1073741827), + Complex(1073741827, 0) + Complex(1073741789, 1073741827)) + assert_equal(Complex(38, -1073741827), + Complex(1073741827, 0) - Complex(1073741789, 1073741827)) + assert_equal(Complex(1152921470247108503, 1152921511049297929), + Complex(1073741827, 0) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921470247108503, 2305842940494218450), Rational(-1152921511049297929, 2305842940494218450)), + Complex(1073741827, 0) / Complex(1073741789, 1073741827)) + assert_equal(Complex(2147483654, 1073741827), + Complex(1073741827, 0) + Complex(1073741827, 1073741827)) + assert_equal(Complex(0, -1073741827), + Complex(1073741827, 0) - Complex(1073741827, 1073741827)) + assert_equal(Complex(1152921511049297929, 1152921511049297929), + Complex(1073741827, 0) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1, 2), Rational(-1, 2)), + Complex(1073741827, 0) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741789, 1073741827)), + Complex(1073741827, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(-1073741789, 1073741827)), + Complex(1073741827, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(1073741789, 1073741789), + Complex(1073741827, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921511049297929, 2147483578), Rational(-1152921511049297929, 2147483578)), + Complex(1073741827, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1073741827, 1073741789)), + Complex(1073741827, 0) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921469173366676, 1073741789), Rational(-1073741827, 1073741789)), + Complex(1073741827, 0) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921511049297929, 1073741789), Rational(1152921511049297929, 1073741789)), + Complex(1073741827, 0) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741789, 2), Rational(-1073741789, 2)), + Complex(1073741827, 0) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741827, 1073741789)), + Complex(1073741827, 0) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(-1073741827, 1073741789)), + Complex(1073741827, 0) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741789, Rational(1152921511049297929, 1073741789)), + Complex(1073741827, 0) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1427247561112392079020469430422559713421565101, 2658455833113515253509575011810600482), Rational(-1427247662133715524919164459706626955683034349, 2658455833113515253509575011810600482)), + Complex(1073741827, 0) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741789, 1073741789), +Complex(1073741789, 1073741789)) + assert_equal(Complex(-1073741789, -1073741789), -Complex(1073741789, 1073741789)) + assert_equal(Complex(1073741790, 1073741789), + Complex(1073741789, 1073741789) + Complex(1, 0)) + assert_equal(Complex(1073741788, 1073741789), + Complex(1073741789, 1073741789) - Complex(1, 0)) + assert_equal(Complex(1073741789, 1073741789), + Complex(1073741789, 1073741789) * Complex(1, 0)) + assert_equal(Complex(1073741789, 1073741789), + Complex(1073741789, 1073741789) / Complex(1, 0)) + assert_equal(Complex(2147483578, 1073741789), + Complex(1073741789, 1073741789) + Complex(1073741789, 0)) + assert_equal(Complex(0, 1073741789), + Complex(1073741789, 1073741789) - Complex(1073741789, 0)) + assert_equal(Complex(1152921429444920521, 1152921429444920521), + Complex(1073741789, 1073741789) * Complex(1073741789, 0)) + assert_equal(Complex(1, 1), + Complex(1073741789, 1073741789) / Complex(1073741789, 0)) + assert_equal(Complex(2147483616, 1073741789), + Complex(1073741789, 1073741789) + Complex(1073741827, 0)) + assert_equal(Complex(-38, 1073741789), + Complex(1073741789, 1073741789) - Complex(1073741827, 0)) + assert_equal(Complex(1152921470247108503, 1152921470247108503), + Complex(1073741789, 1073741789) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), + Complex(1073741789, 1073741789) / Complex(1073741827, 0)) + assert_equal(Complex(2147483578, 2147483578), + Complex(1073741789, 1073741789) + Complex(1073741789, 1073741789)) + assert_equal(Complex(0, 0), + Complex(1073741789, 1073741789) - Complex(1073741789, 1073741789)) + assert_equal(Complex(0, 2305842858889841042), + Complex(1073741789, 1073741789) * Complex(1073741789, 1073741789)) + assert_equal(Complex(1, 0), + Complex(1073741789, 1073741789) / Complex(1073741789, 1073741789)) + assert_equal(Complex(2147483578, 2147483616), + Complex(1073741789, 1073741789) + Complex(1073741789, 1073741827)) + assert_equal(Complex(0, -38), + Complex(1073741789, 1073741789) - Complex(1073741789, 1073741827)) + assert_equal(Complex(-40802187982, 2305842899692029024), + Complex(1073741789, 1073741789) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921449846014512, 1152921470247109225), Rational(-20401093991, 1152921470247109225)), + Complex(1073741789, 1073741789) / Complex(1073741789, 1073741827)) + assert_equal(Complex(2147483616, 2147483616), + Complex(1073741789, 1073741789) + Complex(1073741827, 1073741827)) + assert_equal(Complex(-38, -38), + Complex(1073741789, 1073741789) - Complex(1073741827, 1073741827)) + assert_equal(Complex(0, 2305842940494217006), + Complex(1073741789, 1073741789) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1073741789, 1073741827), 0), + Complex(1073741789, 1073741789) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850292, 1073741827)), + Complex(1073741789, 1073741789) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921469173366714, 1073741827)), + Complex(1073741789, 1073741789) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, Rational(2305842858889841042, 1073741827)), + Complex(1073741789, 1073741789) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(1073741827, 0), + Complex(1073741789, 1073741789) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921430518662348, 1073741789)), + Complex(1073741789, 1073741789) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(1152921428371178694, 1073741789)), + Complex(1073741789, 1073741789) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, 2147483654), + Complex(1073741789, 1073741789) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921429444920521, 1073741827), 0), + Complex(1073741789, 1073741789) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921430518662348, 1073741789)), + Complex(1073741789, 1073741789) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921428371178694, 1073741789)), + Complex(1073741789, 1073741789) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1073741827), Rational(2305842940494218450, 1073741827)), + Complex(1073741789, 1073741789) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1427247561112392972813122023043041209197173075, 1329227916556757626754787505905300241), Rational(-50510659935364010697847612929910630368, 1329227916556757626754787505905300241)), + Complex(1073741789, 1073741789) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741789, 1073741827), +Complex(1073741789, 1073741827)) + assert_equal(Complex(-1073741789, -1073741827), -Complex(1073741789, 1073741827)) + assert_equal(Complex(1073741790, 1073741827), + Complex(1073741789, 1073741827) + Complex(1, 0)) + assert_equal(Complex(1073741788, 1073741827), + Complex(1073741789, 1073741827) - Complex(1, 0)) + assert_equal(Complex(1073741789, 1073741827), + Complex(1073741789, 1073741827) * Complex(1, 0)) + assert_equal(Complex(1073741789, 1073741827), + Complex(1073741789, 1073741827) / Complex(1, 0)) + assert_equal(Complex(2147483578, 1073741827), + Complex(1073741789, 1073741827) + Complex(1073741789, 0)) + assert_equal(Complex(0, 1073741827), + Complex(1073741789, 1073741827) - Complex(1073741789, 0)) + assert_equal(Complex(1152921429444920521, 1152921470247108503), + Complex(1073741789, 1073741827) * Complex(1073741789, 0)) + assert_equal(Complex(1, Rational(1073741827, 1073741789)), + Complex(1073741789, 1073741827) / Complex(1073741789, 0)) + assert_equal(Complex(2147483616, 1073741827), + Complex(1073741789, 1073741827) + Complex(1073741827, 0)) + assert_equal(Complex(-38, 1073741827), + Complex(1073741789, 1073741827) - Complex(1073741827, 0)) + assert_equal(Complex(1152921470247108503, 1152921511049297929), + Complex(1073741789, 1073741827) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), 1), + Complex(1073741789, 1073741827) / Complex(1073741827, 0)) + assert_equal(Complex(2147483578, 2147483616), + Complex(1073741789, 1073741827) + Complex(1073741789, 1073741789)) + assert_equal(Complex(0, 38), + Complex(1073741789, 1073741827) - Complex(1073741789, 1073741789)) + assert_equal(Complex(-40802187982, 2305842899692029024), + Complex(1073741789, 1073741827) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1073741808, 1073741789), Rational(19, 1073741789)), + Complex(1073741789, 1073741827) / Complex(1073741789, 1073741789)) + assert_equal(Complex(2147483578, 2147483654), + Complex(1073741789, 1073741827) + Complex(1073741789, 1073741827)) + assert_equal(Complex(0, 0), + Complex(1073741789, 1073741827) - Complex(1073741789, 1073741827)) + assert_equal(Complex(-81604377408, 2305842940494217006), + Complex(1073741789, 1073741827) * Complex(1073741789, 1073741827)) + assert_equal(Complex(1, 0), + Complex(1073741789, 1073741827) / Complex(1073741789, 1073741827)) + assert_equal(Complex(2147483616, 2147483654), + Complex(1073741789, 1073741827) + Complex(1073741827, 1073741827)) + assert_equal(Complex(-38, 0), + Complex(1073741789, 1073741827) - Complex(1073741827, 1073741827)) + assert_equal(Complex(-40802189426, 2305842981296406432), + Complex(1073741789, 1073741827) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1073741808, 1073741827), Rational(19, 1073741827)), + Complex(1073741789, 1073741827) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921512123039718, 1073741827)), + Complex(1073741789, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921509975556140, 1073741827)), + Complex(1073741789, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(-40802187982, 1073741827), Rational(2305842899692029024, 1073741827)), + Complex(1073741789, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921490648203216, 1073741789), Rational(20401094713, 1073741789)), + Complex(1073741789, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921471320850330, 1073741789)), + Complex(1073741789, 1073741827) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921428371178694, 1073741789), Rational(1152921469173366676, 1073741789)), + Complex(1073741789, 1073741827) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-40802189426, 1073741789), Rational(2305842981296406432, 1073741789)), + Complex(1073741789, 1073741827) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921449846014512, 1073741827), Rational(20401093991, 1073741827)), + Complex(1073741789, 1073741827) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850330, 1073741789)), + Complex(1073741789, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921469173366714, 1073741827), Rational(1152921469173366676, 1073741789)), + Complex(1073741789, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-131433047608170424214, 1152921470247108503), 2147483616), + Complex(1073741789, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1427247586367724281184137892451027617484788528, 1329227916556757626754787505905300241), Rational(-25255330414578331645234047212843119171, 1329227916556757626754787505905300241)), + Complex(1073741789, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741827, 1073741827), +Complex(1073741827, 1073741827)) + assert_equal(Complex(-1073741827, -1073741827), -Complex(1073741827, 1073741827)) + assert_equal(Complex(1073741828, 1073741827), + Complex(1073741827, 1073741827) + Complex(1, 0)) + assert_equal(Complex(1073741826, 1073741827), + Complex(1073741827, 1073741827) - Complex(1, 0)) + assert_equal(Complex(1073741827, 1073741827), + Complex(1073741827, 1073741827) * Complex(1, 0)) + assert_equal(Complex(1073741827, 1073741827), + Complex(1073741827, 1073741827) / Complex(1, 0)) + assert_equal(Complex(2147483616, 1073741827), + Complex(1073741827, 1073741827) + Complex(1073741789, 0)) + assert_equal(Complex(38, 1073741827), + Complex(1073741827, 1073741827) - Complex(1073741789, 0)) + assert_equal(Complex(1152921470247108503, 1152921470247108503), + Complex(1073741827, 1073741827) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), + Complex(1073741827, 1073741827) / Complex(1073741789, 0)) + assert_equal(Complex(2147483654, 1073741827), + Complex(1073741827, 1073741827) + Complex(1073741827, 0)) + assert_equal(Complex(0, 1073741827), + Complex(1073741827, 1073741827) - Complex(1073741827, 0)) + assert_equal(Complex(1152921511049297929, 1152921511049297929), + Complex(1073741827, 1073741827) * Complex(1073741827, 0)) + assert_equal(Complex(1, 1), + Complex(1073741827, 1073741827) / Complex(1073741827, 0)) + assert_equal(Complex(2147483616, 2147483616), + Complex(1073741827, 1073741827) + Complex(1073741789, 1073741789)) + assert_equal(Complex(38, 38), + Complex(1073741827, 1073741827) - Complex(1073741789, 1073741789)) + assert_equal(Complex(0, 2305842940494217006), + Complex(1073741827, 1073741827) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1073741827, 1073741789), 0), + Complex(1073741827, 1073741827) / Complex(1073741789, 1073741789)) + assert_equal(Complex(2147483616, 2147483654), + Complex(1073741827, 1073741827) + Complex(1073741789, 1073741827)) + assert_equal(Complex(38, 0), + Complex(1073741827, 1073741827) - Complex(1073741789, 1073741827)) + assert_equal(Complex(-40802189426, 2305842981296406432), + Complex(1073741827, 1073741827) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921490648203216, 1152921470247109225), Rational(-20401094713, 1152921470247109225)), + Complex(1073741827, 1073741827) / Complex(1073741789, 1073741827)) + assert_equal(Complex(2147483654, 2147483654), + Complex(1073741827, 1073741827) + Complex(1073741827, 1073741827)) + assert_equal(Complex(0, 0), + Complex(1073741827, 1073741827) - Complex(1073741827, 1073741827)) + assert_equal(Complex(0, 2305843022098595858), + Complex(1073741827, 1073741827) * Complex(1073741827, 1073741827)) + assert_equal(Complex(1, 0), + Complex(1073741827, 1073741827) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921512123039718, 1073741827)), + Complex(1073741827, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(1152921509975556140, 1073741827)), + Complex(1073741827, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, 2147483578), + Complex(1073741827, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921511049297929, 1073741789), 0), + Complex(1073741827, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1152921471320850330, 1073741789)), + Complex(1073741827, 1073741827) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921469173366676, 1073741789), Rational(1152921469173366676, 1073741789)), + Complex(1073741827, 1073741827) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, Rational(2305843022098595858, 1073741789)), + Complex(1073741827, 1073741827) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(1073741789, 0), + Complex(1073741827, 1073741827) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921471320850330, 1073741789)), + Complex(1073741827, 1073741827) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921509975556140, 1073741827), Rational(1152921469173366676, 1073741789)), + Complex(1073741827, 1073741827) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1073741789), Rational(2305842940494218450, 1073741789)), + Complex(1073741827, 1073741827) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1427247611623053801969816945064593334552299725, 1329227916556757626754787505905300241), Rational(-50510661722949347514642033621130734624, 1329227916556757626754787505905300241)), + Complex(1073741827, 1073741827) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), +Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(-1073741789, 1073741827), Rational(-1073741789, 1073741827)), -Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1, 0)) + assert_equal(Complex(Rational(-38, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1, 0)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 0)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 0)) + assert_equal(Complex(Rational(1152921429444920521, 1073741827), Rational(1152921429444920521, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1, 1073741827), Rational(1, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 0)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741827, 0)) + assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(1073741789, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741827, 0)) + assert_equal(Complex(1073741789, 1073741789), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1073741789, 1152921511049297929), Rational(1073741789, 1152921511049297929)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741827, 0)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850292, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921469173366714, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 1073741789)) + assert_equal(Complex(0, Rational(2305842858889841042, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1, 1073741827), 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921512123039718, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921509975556140, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-40802187982, 1073741827), Rational(2305842899692029024, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921449846014512, 1237940005850657200720054075), Rational(-20401093991, 1237940005850657200720054075)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921512123039718, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(-1152921509975556140, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(1073741827, 1073741827)) + assert_equal(Complex(0, 2147483578), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1073741789, 1152921511049297929), 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2147483578, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, Rational(2305842858889841042, 1152921511049297929)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(1, 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2305842940494218450, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1152921470247108503), Rational(-81604377408, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, 2), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921429444920521, 1152921511049297929), 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2305842940494218450, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, Rational(-81604377408, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1152921511049297929), Rational(2305842940494218450, 1152921511049297929)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1329227869515036572020512360130906225, 1329227916556757626754787505905300241), Rational(-47041717725097069072123994784, 1329227916556757626754787505905300241)), + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), +Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-1073741827, 1073741789), Rational(-1073741827, 1073741789)), -Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2147483616, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1, 0)) + assert_equal(Complex(Rational(38, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1, 0)) + assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1, 0)) + assert_equal(Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1, 0)) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 0)) + assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 0)) + assert_equal(Complex(1073741827, 1073741827), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1073741827, 1152921429444920521), Rational(1073741827, 1152921429444920521)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 0)) + assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741827, 0)) + assert_equal(Complex(Rational(-1152921469173366676, 1073741789), Rational(1073741827, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741827, 0)) + assert_equal(Complex(Rational(1152921511049297929, 1073741789), Rational(1152921511049297929, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1, 1073741789), Rational(1, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741827, 0)) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921430518662348, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(-1152921428371178694, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741789)) + assert_equal(Complex(0, 2147483654), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1073741827, 1152921429444920521), 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1152921430518662348, 1073741789), Rational(1152921471320850330, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-1152921428371178694, 1073741789), Rational(-1152921469173366676, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-40802189426, 1073741789), Rational(2305842981296406432, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921490648203216, 1237939962039641331329903525), Rational(-20401094713, 1237939962039641331329903525)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921471320850330, 1073741789), Rational(1152921471320850330, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(-1152921469173366676, 1073741789), Rational(-1152921469173366676, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(1073741827, 1073741827)) + assert_equal(Complex(0, Rational(2305843022098595858, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1, 1073741789), 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2305842940494218450, 1152921470247108503)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(81604377408, 1152921470247108503), Rational(81604377408, 1152921470247108503)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, 2), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921511049297929, 1152921429444920521), 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(2147483654, 1073741789), Rational(2147483654, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, Rational(2305843022098595858, 1152921429444920521)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(1, 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2147483654, 1073741789)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(81604377408, 1152921470247108503), 0), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1152921429444920521), Rational(2305842940494218450, 1152921429444920521)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1329227963598475351851856578029295025, 1329227916556757626754787505905300241), Rational(-47041721054734275145774394016, 1329227916556757626754787505905300241)), + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)), +Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-1073741789, 1073741827), Rational(-1073741827, 1073741789)), -Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2147483616, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1, 0)) + assert_equal(Complex(Rational(-38, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1, 0)) + assert_equal(Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1, 0)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 0)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 0)) + assert_equal(Complex(Rational(1152921429444920521, 1073741827), 1073741827), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 0)) + assert_equal(Complex(Rational(1, 1073741827), Rational(1073741827, 1152921429444920521)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 0)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741827, 0)) + assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(1073741827, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741827, 0)) + assert_equal(Complex(1073741789, Rational(1152921511049297929, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741827, 0)) + assert_equal(Complex(Rational(1073741789, 1152921511049297929), Rational(1, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741827, 0)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921430518662348, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921428371178694, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(-81604377408, 1073741827), Rational(2305842940494218450, 1073741827)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1152921470247109225, 1237939962039640556088331867), Rational(40802188704, 1237939962039640556088331867)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741789)) + assert_equal(Complex(Rational(1152921471320850292, 1073741827), Rational(1152921471320850330, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-1152921469173366714, 1073741827), Rational(-1152921469173366676, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(-131433047608170424214, 1152921470247108503), 2147483616), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1237939983945150041266564176, 1329227916556755129526882950667240175), Rational(19, 1152921470247109225)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741789, 1073741827)) + assert_equal(Complex(Rational(1152921512123039718, 1073741827), Rational(1152921471320850330, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(-1152921509975556140, 1073741827), Rational(-1152921469173366676, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(-81604377408, 1073741789), Rational(2305842940494218450, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(1152921470247109225, 1237940005850656425478454981), Rational(40802188704, 1237940005850656425478454981)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(1073741827, 1073741827)) + assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2305842940494218450, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(0, Rational(81604377408, 1152921470247108503)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(-81604377408, 1152921511049297929), Rational(2305842940494218450, 1152921511049297929)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(1152921470247109225, 1152921429444920521), Rational(40802188704, 1152921429444920521)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741789, 1073741827))) + assert_equal(Complex(Rational(2305842940494218450, 1152921470247108503), Rational(2147483654, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1152921470247108503), 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-81604377408, 1152921429444920521), Rational(2305842940494218450, 1152921429444920521)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(1152921470247109225, 1152921511049297929), Rational(40802188704, 1152921511049297929)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741827, 1073741789), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(2147483578, 1073741827), Rational(2147483654, 1073741789)), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(0, 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) - Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(Rational(-188166877559662688435796777600, 1329227916556754297117581432254901009), 2), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) * Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + assert_equal(Complex(1, 0), + Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789)) / Complex(Rational(1073741789, 1073741827), Rational(1073741827, 1073741789))) + end + + def test_kumi2 + assert_equal('0.0+0.0i', (+Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0-0.0i', (-Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) * Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(-0.0, +0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(+0.0, +0.0) * Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) * Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) + Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, +0.0) - Complex(-0.0, -0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, +0.0) * Complex(-0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (+Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (-Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) + Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) - Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) * Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) + Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) - Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(-0.0, +0.0) * Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) + Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) - Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) * Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, +0.0) + Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) - Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, +0.0) * Complex(-0.0, -0.0)).to_s) + assert_equal('0.0-0.0i', (+Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (-Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) + Complex(+0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) - Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) * Complex(+0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) + Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) - Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) * Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) + Complex(+0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) - Complex(+0.0, -0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) * Complex(+0.0, -0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(+0.0, -0.0) + Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(+0.0, -0.0) - Complex(-0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(+0.0, -0.0) * Complex(-0.0, -0.0)).to_s) + assert_equal('-0.0-0.0i', (+Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (-Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) + Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0-0.0i', (Complex(-0.0, -0.0) - Complex(+0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) * Complex(+0.0, +0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) + Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) - Complex(-0.0, +0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) * Complex(-0.0, +0.0)).to_s) + assert_equal('0.0-0.0i', (Complex(-0.0, -0.0) + Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) - Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0+0.0i', (Complex(-0.0, -0.0) * Complex(+0.0, -0.0)).to_s) + assert_equal('-0.0-0.0i', (Complex(-0.0, -0.0) + Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) - Complex(-0.0, -0.0)).to_s) + assert_equal('0.0+0.0i', (Complex(-0.0, -0.0) * Complex(-0.0, -0.0)).to_s) + end + +end diff --git a/test/ruby/test_complexrational.rb b/test/ruby/test_complexrational.rb new file mode 100644 index 0000000000..47c535fca0 --- /dev/null +++ b/test/ruby/test_complexrational.rb @@ -0,0 +1,407 @@ +require 'test/unit' + +class ComplexRational_Test < Test::Unit::TestCase + + def test_rat_srat + return unless defined?(Rational) + + c = SimpleRat(1,3) + cc = Rational(3,2) + + assert_kind_of(Numeric, c) + assert_kind_of(Numeric, cc) + + assert_instance_of(SimpleRat, c) + assert_instance_of(Rational, cc) + + assert_equal(SimpleRat(1,3), +c) + assert_equal(SimpleRat(-1,3), -c) + + assert_equal(SimpleRat(7,3), c + 2) + assert_equal(SimpleRat(-5,3), c - 2) + assert_equal(SimpleRat(2,3), c * 2) + assert_equal(SimpleRat(1,6), c / 2) + assert_equal(SimpleRat(1,9), c ** 2) + assert_equal(-1, c <=> 2) + + assert_equal(SimpleRat(7,3), 2 + c) + assert_equal(SimpleRat(5,3), 2 - c) + assert_equal(SimpleRat(2,3), 2 * c) + assert_equal(SimpleRat(6,1), 2 / c) + assert_in_delta(1.2599, 2 ** c, 0.001) + assert_equal(1, 2 <=> c) + + assert_equal(SimpleRat(11,6), c + cc) + assert_equal(SimpleRat(-7,6), c - cc) + assert_equal(SimpleRat(1,2), c * cc) + assert_equal(SimpleRat(2,9), c / cc) + assert_in_delta(0.1924, c ** cc, 0.001) + assert_equal(-1, c <=> cc) + + assert_equal(SimpleRat(11,6), cc + c) + assert_equal(SimpleRat(7,6), cc - c) + assert_equal(SimpleRat(1,2), cc * c) + assert_equal(SimpleRat(9,2), cc / c) + assert_in_delta(1.1447, cc ** c, 0.001) + assert_equal(1, cc <=> c) + + assert_equal(SimpleRat, (+c).class) + assert_equal(SimpleRat, (-c).class) + + assert_equal(SimpleRat, (c + 2).class) + assert_equal(SimpleRat, (c - 2).class) + assert_equal(SimpleRat, (c * 2).class) + assert_equal(SimpleRat, (c / 2).class) + assert_equal(SimpleRat, (c ** 2).class) + + assert_equal(SimpleRat, (2 + c).class) + assert_equal(SimpleRat, (2 - c).class) + assert_equal(SimpleRat, (2 * c).class) + assert_equal(SimpleRat, (2 / c).class) + assert_equal(Float, (2 ** c).class) + + assert_equal(SimpleRat, (c + cc).class) + assert_equal(SimpleRat, (c - cc).class) + assert_equal(SimpleRat, (c * cc).class) + assert_equal(SimpleRat, (c / cc).class) + assert_equal(Float, (c ** cc).class) + + assert_equal(SimpleRat, (cc + c).class) + assert_equal(SimpleRat, (cc - c).class) + assert_equal(SimpleRat, (cc * c).class) + assert_equal(SimpleRat, (cc / c).class) + assert_equal(Float, (cc ** c).class) + + assert_equal(0, Rational(2,3) <=> SimpleRat(2,3)) + assert_equal(0, SimpleRat(2,3) <=> Rational(2,3)) + assert(Rational(2,3) == SimpleRat(2,3)) + assert(SimpleRat(2,3) == Rational(2,3)) + + assert_equal(SimpleRat, (c + 0).class) + assert_equal(SimpleRat, (c - 0).class) + assert_equal(SimpleRat, (c * 0).class) + assert_equal(SimpleRat, (c * 1).class) + assert_equal(SimpleRat, (0 + c).class) + assert_equal(SimpleRat, (0 - c).class) + assert_equal(SimpleRat, (0 * c).class) + assert_equal(SimpleRat, (1 * c).class) + end + + def test_comp_srat + return unless defined?(Rational) + + c = Complex(SimpleRat(2,3),SimpleRat(1,2)) + cc = Complex(Rational(3,2),Rational(2,1)) + + assert_equal(Complex(SimpleRat(2,3),SimpleRat(1,2)), +c) + assert_equal(Complex(SimpleRat(-2,3),SimpleRat(-1,2)), -c) + + assert_equal(Complex(SimpleRat(8,3),SimpleRat(1,2)), c + 2) + assert_equal(Complex(SimpleRat(-4,3),SimpleRat(1,2)), c - 2) + assert_equal(Complex(SimpleRat(4,3),SimpleRat(1,1)), c * 2) + assert_equal(Complex(SimpleRat(1,3),SimpleRat(1,4)), c / 2) + assert_equal(Complex(SimpleRat(7,36),SimpleRat(2,3)), c ** 2) + assert_raise(NoMethodError){c <=> 2} + + assert_equal(Complex(SimpleRat(8,3),SimpleRat(1,2)), 2 + c) + assert_equal(Complex(SimpleRat(4,3),SimpleRat(-1,2)), 2 - c) + assert_equal(Complex(SimpleRat(4,3),SimpleRat(1,1)), 2 * c) + assert_equal(Complex(SimpleRat(48,25),SimpleRat(-36,25)), 2 / c) + r = 2 ** c + assert_in_delta(1.4940, r.real, 0.001) + assert_in_delta(0.5392, r.imag, 0.001) + assert_raise(NoMethodError){2 <=> c} + + assert_equal(Complex(SimpleRat(13,6),SimpleRat(5,2)), c + cc) + assert_equal(Complex(SimpleRat(-5,6),SimpleRat(-3,2)), c - cc) + assert_equal(Complex(SimpleRat(0,1),SimpleRat(25,12)), c * cc) + assert_equal(Complex(SimpleRat(8,25),SimpleRat(-7,75)), c / cc) + r = c ** cc + assert_in_delta(0.1732, r.real, 0.001) + assert_in_delta(0.1186, r.imag, 0.001) + assert_raise(NoMethodError){c <=> cc} + + assert_equal(Complex(SimpleRat(13,6),SimpleRat(5,2)), cc + c) + assert_equal(Complex(SimpleRat(5,6),SimpleRat(3,2)), cc - c) + assert_equal(Complex(SimpleRat(0,1),SimpleRat(25,12)), cc * c) + assert_equal(Complex(SimpleRat(72,25),SimpleRat(21,25)), cc / c) + r = cc ** c + assert_in_delta(0.5498, r.real, 0.001) + assert_in_delta(1.0198, r.imag, 0.001) + assert_raise(NoMethodError){cc <=> c} + + assert_equal([SimpleRat,SimpleRat], + (+c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (-c).instance_eval{[real.class, imag.class]}) + + assert_equal([SimpleRat,SimpleRat], + (c + 2).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c - 2).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c * 2).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c / 2).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c ** 2).instance_eval{[real.class, imag.class]}) + + assert_equal([SimpleRat,SimpleRat], + (c + cc).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c - cc).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c * cc).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c / cc).instance_eval{[real.class, imag.class]}) + assert_equal([Float,Float], + (c ** cc).instance_eval{[real.class, imag.class]}) + + assert_equal([SimpleRat,SimpleRat], + (cc + c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (cc - c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (cc * c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (cc / c).instance_eval{[real.class, imag.class]}) + assert_equal([Float,Float], + (cc ** c).instance_eval{[real.class, imag.class]}) + + assert(Complex(SimpleRat(2,3),SimpleRat(3,2)) == + Complex(Rational(2,3),Rational(3,2))) + assert(Complex(Rational(2,3),Rational(3,2)) == + Complex(SimpleRat(2,3),SimpleRat(3,2))) + + assert_equal([SimpleRat,SimpleRat], + (c + 0).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c - 0).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c * 0).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (c * 1).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (0 + c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (0 - c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (0 * c).instance_eval{[real.class, imag.class]}) + assert_equal([SimpleRat,SimpleRat], + (1 * c).instance_eval{[real.class, imag.class]}) + end + +end + +def SimpleRat(*a) SimpleRat.new(*a) end + +class SimpleRat < Numeric + + def initialize(num, den = 1) + if den == 0 + raise ZeroDivisionError, "divided by zero" + end + if den < 0 + num = -num + den = -den + end + gcd = num.gcd(den) + @num = num.div(gcd) + @den = den.div(gcd) + end + + def numerator() @num end + def denominator() @den end + + def +@ () self end + def -@ () self.class.new(-@num, @den) end + + def + (o) + case o + when SimpleRat, Rational + a = @num * o.denominator + b = o.numerator * @den + self.class.new(a + b, @den * o.denominator) + when Integer + self + self.class.new(o) + when Float + to_f + o + else + x, y = o.coerce(self) + x + y + end + end + + def - (o) + case o + when SimpleRat, Rational + a = @num * o.denominator + b = o.numerator * @den + self.class.new(a - b, @den * o.denominator) + when Integer + self - self.class.new(o) + when Float + to_f - o + else + x, y = o.coerce(self) + x - y + end + end + + def * (o) + case o + when SimpleRat, Rational + a = @num * o.numerator + b = @den * o.denominator + self.class.new(a, b) + when Integer + self * self.class.new(o) + when Float + to_f * o + else + x, y = o.coerce(self) + x * y + end + end + + def quo(o) + case o + when SimpleRat, Rational + a = @num * o.denominator + b = @den * o.numerator + self.class.new(a, b) + when Integer + if o == 0 + raise raise ZeroDivisionError, "divided by zero" + end + self.quo(self.class.new(o)) + when Float + to_f.quo(o) + else + x, y = o.coerce(self) + x.quo(y) + end + end + + alias / quo + + def floor + @num.div(@den) + end + + def ceil + -((-@num).div(@den)) + end + + def truncate + if @num < 0 + return -((-@num).div(@den)) + end + @num.div(@den) + end + + alias to_i truncate + + def round + if @num < 0 + num = -@num + num = num * 2 + @den + den = @den * 2 + -(num.div(den)) + else + num = @num * 2 + @den + den = @den * 2 + num.div(den) + end + end + + def div(o) (self / o).floor end + def quot(o) (self / o).truncate end + + def modulo(o) + q = div(o) + self - o * q + end + + def remainder(o) + q = quot(o) + self - o * q + end + + alias % modulo + + def divmod(o) [div(o), modulo(o)] end + def quotrem(o) [quot(o), remainder(o)] end + + def ** (o) + case o + when SimpleRat, Rational + Float(self) ** o + when Integer + if o > 0 + a = @num ** o + b = @den ** o + elsif o < 0 + a = @den ** -o + b = @num ** -o + else + a = b = 1 + end + self.class.new(a, b) + when Float + to_f ** o + else + x, y = o.coerce(self) + x ** y + end + end + + def <=> (o) + case o + when SimpleRat, Rational + a = @num * o.denominator + b = o.numerator * @den + return a <=> b + when Integer + self <=> self.class.new(o) + when Float + to_f <=> o + else + x, y = o.coerce(self) + x <=> y + end + end + + def == (o) + begin + (self <=> o) == 0 + rescue + false + end + end + + def coerce(o) + case o + when Rational + [self.class.new(o.numerator, o.denominator), self] + when Integer + [self.class.new(o), self] + when Float + [o, self.to_f] + else + super + end + end + + def hash() @num.hash ^ @den.hash end + + def to_f() @num.to_f / @den.to_f end + def to_r() self end + def to_s() format('%s/%s', @num, @den) end + + def inspect() format('#SR(%s)', to_s) end + + def marshal_dump() [@num, @den] end + def marshal_load(a) @num, @den = a end + +end diff --git a/test/ruby/test_rational2.rb b/test/ruby/test_rational2.rb index 641bfea565..3b6a985bc6 100644 --- a/test/ruby/test_rational2.rb +++ b/test/ruby/test_rational2.rb @@ -3,6 +3,8 @@ require 'test/unit' class Rational_Test2 < Test::Unit::TestCase def test_kumi + assert_equal(Rational(1, 1), +Rational(1, 1)) + assert_equal(Rational(-1, 1), -Rational(1, 1)) assert_equal(Rational(2, 1), Rational(1, 1) + Rational(1, 1)) assert_equal(Rational(0, 1), @@ -107,6 +109,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1, 1) * Rational(1073741827, 1073741789)) assert_equal(Rational(1073741789, 1073741827), Rational(1, 1) / Rational(1073741827, 1073741789)) + assert_equal(Rational(2, 1), +Rational(2, 1)) + assert_equal(Rational(-2, 1), -Rational(2, 1)) assert_equal(Rational(3, 1), Rational(2, 1) + Rational(1, 1)) assert_equal(Rational(1, 1), @@ -211,6 +215,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(2, 1) * Rational(1073741827, 1073741789)) assert_equal(Rational(2147483578, 1073741827), Rational(2, 1) / Rational(1073741827, 1073741789)) + assert_equal(Rational(3, 1), +Rational(3, 1)) + assert_equal(Rational(-3, 1), -Rational(3, 1)) assert_equal(Rational(4, 1), Rational(3, 1) + Rational(1, 1)) assert_equal(Rational(2, 1), @@ -315,6 +321,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(3, 1) * Rational(1073741827, 1073741789)) assert_equal(Rational(3221225367, 1073741827), Rational(3, 1) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741789, 1), +Rational(1073741789, 1)) + assert_equal(Rational(-1073741789, 1), -Rational(1073741789, 1)) assert_equal(Rational(1073741790, 1), Rational(1073741789, 1) + Rational(1, 1)) assert_equal(Rational(1073741788, 1), @@ -419,6 +427,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1073741789, 1) * Rational(1073741827, 1073741789)) assert_equal(Rational(1152921429444920521, 1073741827), Rational(1073741789, 1) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741827, 1), +Rational(1073741827, 1)) + assert_equal(Rational(-1073741827, 1), -Rational(1073741827, 1)) assert_equal(Rational(1073741828, 1), Rational(1073741827, 1) + Rational(1, 1)) assert_equal(Rational(1073741826, 1), @@ -523,6 +533,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1073741827, 1) * Rational(1073741827, 1073741789)) assert_equal(Rational(1073741789, 1), Rational(1073741827, 1) / Rational(1073741827, 1073741789)) + assert_equal(Rational(2, 3), +Rational(2, 3)) + assert_equal(Rational(-2, 3), -Rational(2, 3)) assert_equal(Rational(5, 3), Rational(2, 3) + Rational(1, 1)) assert_equal(Rational(-1, 3), @@ -627,6 +639,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(2, 3) * Rational(1073741827, 1073741789)) assert_equal(Rational(2147483578, 3221225481), Rational(2, 3) / Rational(1073741827, 1073741789)) + assert_equal(Rational(3, 2), +Rational(3, 2)) + assert_equal(Rational(-3, 2), -Rational(3, 2)) assert_equal(Rational(5, 2), Rational(3, 2) + Rational(1, 1)) assert_equal(Rational(1, 2), @@ -731,6 +745,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(3, 2) * Rational(1073741827, 1073741789)) assert_equal(Rational(3221225367, 2147483654), Rational(3, 2) / Rational(1073741827, 1073741789)) + assert_equal(Rational(3, 1073741789), +Rational(3, 1073741789)) + assert_equal(Rational(-3, 1073741789), -Rational(3, 1073741789)) assert_equal(Rational(1073741792, 1073741789), Rational(3, 1073741789) + Rational(1, 1)) assert_equal(Rational(-1073741786, 1073741789), @@ -835,6 +851,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(3, 1073741789) * Rational(1073741827, 1073741789)) assert_equal(Rational(3, 1073741827), Rational(3, 1073741789) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741789, 3), +Rational(1073741789, 3)) + assert_equal(Rational(-1073741789, 3), -Rational(1073741789, 3)) assert_equal(Rational(1073741792, 3), Rational(1073741789, 3) + Rational(1, 1)) assert_equal(Rational(1073741786, 3), @@ -939,6 +957,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1073741789, 3) * Rational(1073741827, 1073741789)) assert_equal(Rational(1152921429444920521, 3221225481), Rational(1073741789, 3) / Rational(1073741827, 1073741789)) + assert_equal(Rational(3, 1073741827), +Rational(3, 1073741827)) + assert_equal(Rational(-3, 1073741827), -Rational(3, 1073741827)) assert_equal(Rational(1073741830, 1073741827), Rational(3, 1073741827) + Rational(1, 1)) assert_equal(Rational(-1073741824, 1073741827), @@ -1043,6 +1063,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(3, 1073741827) * Rational(1073741827, 1073741789)) assert_equal(Rational(3221225367, 1152921511049297929), Rational(3, 1073741827) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741827, 3), +Rational(1073741827, 3)) + assert_equal(Rational(-1073741827, 3), -Rational(1073741827, 3)) assert_equal(Rational(1073741830, 3), Rational(1073741827, 3) + Rational(1, 1)) assert_equal(Rational(1073741824, 3), @@ -1147,6 +1169,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1073741827, 3) * Rational(1073741827, 1073741789)) assert_equal(Rational(1073741789, 3), Rational(1073741827, 3) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741789, 1073741827), +Rational(1073741789, 1073741827)) + assert_equal(Rational(-1073741789, 1073741827), -Rational(1073741789, 1073741827)) assert_equal(Rational(2147483616, 1073741827), Rational(1073741789, 1073741827) + Rational(1, 1)) assert_equal(Rational(-38, 1073741827), @@ -1251,6 +1275,8 @@ class Rational_Test2 < Test::Unit::TestCase Rational(1073741789, 1073741827) * Rational(1073741827, 1073741789)) assert_equal(Rational(1152921429444920521, 1152921511049297929), Rational(1073741789, 1073741827) / Rational(1073741827, 1073741789)) + assert_equal(Rational(1073741827, 1073741789), +Rational(1073741827, 1073741789)) + assert_equal(Rational(-1073741827, 1073741789), -Rational(1073741827, 1073741789)) assert_equal(Rational(2147483616, 1073741789), Rational(1073741827, 1073741789) + Rational(1, 1)) assert_equal(Rational(38, 1073741789), |