assert 'Bigint basic' do n = 1<<65 assert_equal 36893488147419103232, n end assert 'Bigint +' do n = 1<<65 assert_equal 36893488147419103232, n + 0 assert_equal 36893488147419104229, n + 997 assert_equal 36893488147419102235, n + -997 assert_equal(-36893488147419102235, -n + 997) assert_equal(-36893488147419104229, -n + -997) assert_equal 73786976294838206464, n + n assert_equal 0, n + -n assert_equal 0, -n + n assert_equal(-73786976294838206464, -n + -n) assert_equal 36893488147419104229, 997 + n assert_equal 36893488147419102235, -997 + n end assert 'Bigint -' do n = 1<<65 assert_equal 36893488147419103232, n - 0 assert_equal 36893488147419102235, n - 997 assert_equal 36893488147419104229, n - -997 assert_equal(-36893488147419104229, -n - 997) assert_equal(-36893488147419102235, -n - -997) assert_equal 0, n - n assert_equal(-36893488147419104229, -997 - n) assert_equal(-36893488147419102235, 997 - n) assert_equal(-36893488147419104229, -997 - n) end assert 'Bigint *' do n = 1<<65 assert_equal 0, n * 0 assert_equal 36782807682976845922304, n * 997 assert_equal(-36782807682976845922304, n * -997) assert_equal 36782807682976845922304, 997 * n assert_equal(-36782807682976845922304, -997 * n) assert_equal 1361129467683753853853498429727072845824, n * n assert_equal(-1361129467683753853853498429727072845824, -n * n) assert_equal(-1361129467683753853853498429727072845824, n * -n) assert_equal 1361129467683753853853498429727072845824, -n * -n # Test multiplication commutativity for large numbers with different limb counts # This test specifically targets the bug where operands with different # limb counts would produce different results based on order a = (2**512) - 1 # 16 limbs b = 26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168194 # 17 limbs assert_equal(a * b, b * a) end assert 'Bigint /' do n = 1<<65 assert_equal 37004501652376231, n / 997 assert_equal(-37004501652376232, n / -997) assert_equal(-37004501652376232, -n / 997) assert_equal 0, 997 / n assert_equal 2, 73786976294838206464 / n assert_equal 1, n / n assert_equal(-1, -n / n) assert_equal(-1, n / -n) assert_equal 1, -n / -n end assert 'Bigint mod' do n = 1<<65 assert_equal 925, n % 997 assert_equal(-72, n % -997) assert_equal 72, -n % 997 assert_equal(-925, -n % -997) assert_equal 0, n % n assert_equal 997, 997 % n assert_equal 36893488147419102235, -997 % n assert_equal(-36893488147419102235, 997 % -n) assert_equal(-997, -997 % -n) assert_equal 18446744073709551616, (n / 2) % n end assert 'Bigint divmod' do n = 1<<65 assert_equal [37004501652376231, 925], n.divmod(997) assert_equal [-37004501652376232, -72], n.divmod(-997) assert_equal [-37004501652376232, 72], (-n).divmod(997) assert_equal [37004501652376231, -925], (-n).divmod(-997) assert_equal [1, 0], n.divmod(n) assert_equal [0, 997], 997.divmod(n) assert_equal [-1, 36893488147419102235], (-997).divmod(n) assert_equal [-1, -36893488147419102235], 997.divmod(-n) assert_equal [0, -997], (-997).divmod(-n) assert_equal [0, 18446744073709551616], (n / 2).divmod(n) end assert 'Bigint &' do n = 1<<65 assert_equal 0, n & 0 assert_equal 0, 0 & n assert_equal 0, n & 1 assert_equal 1, (n + 3) & 1 assert_equal 2, (n + 3) & 2 assert_equal 3, (n + 3) & 3 assert_equal n, n & n assert_equal 36893488147419103232, n & -1 assert_equal 36893488147419103232, -1 & n end assert 'Bigint |' do n = 1<<65 assert_equal 36893488147419103232, n | 0 assert_equal 36893488147419103232, 0 | n assert_equal 36893488147419103233, n | 1 assert_equal 36893488147419103233, 1 | n assert_equal 36893488147419103235, n | 3 assert_equal 36893488147419103232, n | n assert_equal(-1, n | -1) end assert 'Bigint ^' do n = 1<<65 assert_equal 36893488147419103232, n ^ 0 assert_equal 36893488147419103233, n ^ 1 assert_equal 36893488147419103235, 3 ^ n assert_equal 0, n ^ n assert_equal(-36893488147419103233, n ^ -1) assert_equal(-36893488147419103231, -n ^ 1) end assert 'Bigint to_s' do n = 1197857166996989179607278372168909873645893814254642585755536286462800958278984531968 assert_equal n, "11978_571669_96989179607278372168909873645893814254642585755536286462800958278984531968".to_i assert_equal(-n, "-11978_571669_96989179607278372168909873645893814254642585755536286462800958278984531968".to_i) n = 0x1197857166996989179607278372168909873645893814254642585755536286462800958278984531968 assert_equal n, "1197857166996989179607278372168909873645893814254642585755536286462800958278984531968".to_i(16) n = 10 ** 20 assert_equal "100000000000000000000", n.to_s end assert 'Bigint pow' do n = 18446744073709551616 assert_equal n, 2 ** 64 assert_equal n, 1 << 64 assert_equal 2, n >> 63 n = 1<<65 assert_equal n, n ** 1 assert_equal 1, n ** 0 assert_equal 1361129467683753853853498429727072845824, n ** 2 # assert_equal 193128586, n.pow(n, 1234567890) # assert_equal(-1041439304, n.pow(n, -1234567890)) end assert 'Bigint abs' do n = 1<<65 assert_equal 36893488147419103232, n.abs assert_equal 36893488147419103232, (-n).abs end