| // Copyright (c) 2011, the Dart project authors. Please see the AUTHORS file |
| // for details. All rights reserved. Use of this source code is governed by a |
| // BSD-style license that can be found in the LICENSE file. |
| |
| // Testing Bigints with and without intrinsics. |
| // VMOptions= |
| // VMOptions=--no_intrinsify |
| // VMOptions=--optimization_counter_threshold=10 --no-background_compilation |
| |
| library big_integer_test; |
| |
| import "package:expect/expect.dart"; |
| |
| foo() => 1234567890123456789; |
| bar() => 12345678901234567890; |
| |
| testSmiOverflow() { |
| var a = 1073741823; |
| var b = 1073741822; |
| Expect.equals(2147483645, a + b); |
| a = -1000000000; |
| b = 1000000001; |
| Expect.equals(-2000000001, a - b); |
| Expect.equals(-1000000001000000000, a * b); |
| } |
| |
| testBigintAdd() { |
| // Bigint and Smi. |
| var a = 12345678901234567890; |
| var b = 2; |
| Expect.equals(12345678901234567892, a + b); |
| Expect.equals(12345678901234567892, b + a); |
| // Bigint and Bigint. |
| a = 10000000000000000001; |
| Expect.equals(20000000000000000002, a + a); |
| // Bigint and double. |
| b = 200000000000000000000; |
| var c = 100000000000000000000.0; |
| Expect.isTrue((c + b) is double); |
| Expect.equals(300000000000000000000.0, b + c); |
| Expect.isTrue((b + c) is double); |
| Expect.equals(300000000000000000000.0, c + b); |
| } |
| |
| testBigintSub() { |
| // Bigint and Smi. |
| var a = 12345678901234567890; |
| var b = 2; |
| Expect.equals(12345678901234567888, a - b); |
| Expect.equals(-12345678901234567888, b - a); |
| // Bigint and Bigint. |
| a = 10000000000000000001; |
| Expect.equals(20000000000000000002, a + a); |
| // Bigint and double. |
| b = 200000000000000000000; |
| var c = 100000000000000000000.0; |
| Expect.isTrue((c + b) is double); |
| Expect.equals(-100000000000000000000.0, c - b); |
| Expect.isTrue((b + c) is double); |
| Expect.equals(100000000000000000000.0, b - c); |
| Expect.equals(-1, 0xF00000000 - 0xF00000001); |
| } |
| |
| testBigintMul() { |
| // Bigint and Smi. |
| var a = 12345678901234567890; |
| var b = 10; |
| Expect.equals(123456789012345678900, a * b); |
| Expect.equals(123456789012345678900, b * a); |
| // Bigint and Bigint. |
| a = 12345678901234567890; |
| b = 10000000000000000; |
| Expect.equals(123456789012345678900000000000000000, a * b); |
| // Bigint and double. |
| b = 200000000000000000000; |
| var c = 2.0; |
| Expect.isTrue((c * b) is double); |
| Expect.equals(400000000000000000000.0, c * b); |
| Expect.isTrue((b * c) is double); |
| Expect.equals(400000000000000000000.0, b * c); |
| } |
| |
| testBigintTruncDiv() { |
| var a = 12345678901234567890; |
| var b = 10; |
| // Bigint and Smi. |
| Expect.equals(1234567890123456789, a ~/ b); |
| Expect.equals(0, b ~/ a); |
| Expect.equals(123456789, 123456789012345678 ~/ 1000000000); |
| // Bigint and Bigint. |
| a = 12345678901234567890; |
| b = 10000000000000000; |
| Expect.equals(1234, a ~/ b); |
| // Bigint and double. |
| b = 200000000000000000000; |
| var c = 100000000000000000000.0; |
| Expect.equals(0, c ~/ b); |
| Expect.equals(2, b ~/ c); |
| } |
| |
| testBigintDiv() { |
| // Bigint and Smi. |
| Expect.equals(1234567890123456789.1, 12345678901234567891 / 10); |
| Expect.equals(0.000000001234, 1234 / 1000000000000); |
| Expect.equals(12345678901234000000.0, 123456789012340000000 / 10); |
| // Bigint and Bigint. |
| var a = 12345670000000000000; |
| var b = 10000000000000000; |
| Expect.equals(1234.567, a / b); |
| // Bigint and double. |
| b = 200000000000000000000; |
| var c = 400000000000000000000.0; |
| Expect.equals(2.0, c / b); |
| Expect.equals(0.5, b / c); |
| } |
| |
| testBigintModulo() { |
| // Bigint and Smi. |
| var a = 1000000000005; |
| var b = 10; |
| Expect.equals(5, a % b); |
| Expect.equals(10, b % a); |
| // Bigint & Bigint |
| a = 10000000000000000001; |
| b = 10000000000000000000; |
| Expect.equals(1, a % b); |
| Expect.equals(10000000000000000000, b % a); |
| // Bigint & double. |
| b = 10000000000000000; |
| var c = 10000000100000000.0; |
| Expect.equals(100000000.0, c % b); |
| Expect.equals(10000000000000000.0, b % c); |
| // Transitioning from Mint to Bigint. |
| var iStart = 4611686018427387900; |
| var prevX = -23 % iStart; |
| for (int i = iStart + 1; i < iStart + 10; i++) { |
| var x = -23 % i; |
| Expect.equals(1, x - prevX); |
| Expect.isTrue(x > 0); |
| prevX = x; |
| } |
| } |
| |
| testBigintModPow() { |
| var x, e, m; |
| x = 1234567890; |
| e = 1000000001; |
| m = 19; |
| Expect.equals(11, x.modPow(e, m)); |
| x = 1234567890; |
| e = 19; |
| m = 1000000001; |
| Expect.equals(122998977, x.modPow(e, m)); |
| x = 19; |
| e = 1234567890; |
| m = 1000000001; |
| Expect.equals(619059596, x.modPow(e, m)); |
| x = 19; |
| e = 1000000001; |
| m = 1234567890; |
| Expect.equals(84910879, x.modPow(e, m)); |
| x = 1000000001; |
| e = 19; |
| m = 1234567890; |
| Expect.equals(872984351, x.modPow(e, m)); |
| x = 1000000001; |
| e = 1234567890; |
| m = 19; |
| Expect.equals(0, x.modPow(e, m)); |
| x = 12345678901234567890; |
| e = 10000000000000000001; |
| m = 19; |
| Expect.equals(2, x.modPow(e, m)); |
| x = 12345678901234567890; |
| e = 19; |
| m = 10000000000000000001; |
| Expect.equals(3239137215315834625, x.modPow(e, m)); |
| x = 19; |
| e = 12345678901234567890; |
| m = 10000000000000000001; |
| Expect.equals(4544207837373941034, x.modPow(e, m)); |
| x = 19; |
| e = 10000000000000000001; |
| m = 12345678901234567890; |
| Expect.equals(11135411705397624859, x.modPow(e, m)); |
| x = 10000000000000000001; |
| e = 19; |
| m = 12345678901234567890; |
| Expect.equals(2034013733189773841, x.modPow(e, m)); |
| x = 10000000000000000001; |
| e = 12345678901234567890; |
| m = 19; |
| Expect.equals(1, x.modPow(e, m)); |
| x = 12345678901234567890; |
| e = 19; |
| m = 10000000000000000001; |
| Expect.equals(3239137215315834625, x.modPow(e, m)); |
| x = 12345678901234567890; |
| e = 10000000000000000001; |
| m = 19; |
| Expect.equals(2, x.modPow(e, m)); |
| x = 123456789012345678901234567890; |
| e = 123456789012345678901234567891; |
| m = 123456789012345678901234567899; |
| Expect.equals(116401406051033429924651549616, x.modPow(e, m)); |
| x = 123456789012345678901234567890; |
| e = 123456789012345678901234567899; |
| m = 123456789012345678901234567891; |
| Expect.equals(123456789012345678901234567890, x.modPow(e, m)); |
| x = 123456789012345678901234567899; |
| e = 123456789012345678901234567890; |
| m = 123456789012345678901234567891; |
| Expect.equals(35088523091000351053091545070, x.modPow(e, m)); |
| x = 123456789012345678901234567899; |
| e = 123456789012345678901234567891; |
| m = 123456789012345678901234567890; |
| Expect.equals(18310047270234132455316941949, x.modPow(e, m)); |
| x = 123456789012345678901234567891; |
| e = 123456789012345678901234567899; |
| m = 123456789012345678901234567890; |
| Expect.equals(1, x.modPow(e, m)); |
| x = 123456789012345678901234567891; |
| e = 123456789012345678901234567890; |
| m = 123456789012345678901234567899; |
| Expect.equals(40128068573873018143207285483, x.modPow(e, m)); |
| } |
| |
| testBigintModInverse() { |
| var x, m; |
| x = 1; |
| m = 1; |
| Expect.equals(0, x.modInverse(m)); |
| x = 0; |
| m = 1000000001; |
| Expect.throws(() => x.modInverse(m), (e) => e is Exception); // Not coprime. |
| x = 1234567890; |
| m = 19; |
| Expect.equals(11, x.modInverse(m)); |
| x = 1234567890; |
| m = 1000000001; |
| Expect.equals(189108911, x.modInverse(m)); |
| x = 19; |
| m = 1000000001; |
| Expect.throws(() => x.modInverse(m), (e) => e is Exception); // Not coprime. |
| x = 19; |
| m = 1234567890; |
| Expect.equals(519818059, x.modInverse(m)); |
| x = 1000000001; |
| m = 1234567890; |
| Expect.equals(1001100101, x.modInverse(m)); |
| x = 1000000001; |
| m = 19; |
| Expect.throws(() => x.modInverse(m), (e) => e is Exception); // Not coprime. |
| x = 12345678901234567890; |
| m = 19; |
| Expect.equals(3, x.modInverse(m)); |
| x = 12345678901234567890; |
| m = 10000000000000000001; |
| Expect.equals(9736746307686209582, x.modInverse(m)); |
| x = 19; |
| m = 10000000000000000001; |
| Expect.equals(6315789473684210527, x.modInverse(m)); |
| x = 19; |
| m = 12345678901234567890; |
| Expect.equals(10396361179987004539, x.modInverse(m)); |
| x = 10000000000000000001; |
| m = 12345678901234567890; |
| Expect.equals(325004555487045911, x.modInverse(m)); |
| x = 10000000000000000001; |
| m = 19; |
| Expect.equals(7, x.modInverse(m)); |
| x = 12345678901234567890; |
| m = 10000000000000000001; |
| Expect.equals(9736746307686209582, x.modInverse(m)); |
| x = 12345678901234567890; |
| m = 19; |
| Expect.equals(3, x.modInverse(m)); |
| x = 123456789012345678901234567890; |
| m = 123456789012345678901234567899; |
| Expect.throws(() => x.modInverse(m), (e) => e is Exception); // Not coprime. |
| x = 123456789012345678901234567890; |
| m = 123456789012345678901234567891; |
| Expect.equals(123456789012345678901234567890, x.modInverse(m)); |
| x = 123456789012345678901234567899; |
| m = 123456789012345678901234567891; |
| Expect.equals(77160493132716049313271604932, x.modInverse(m)); |
| x = 123456789012345678901234567899; |
| m = 123456789012345678901234567890; |
| Expect.throws(() => x.modInverse(m), (e) => e is Exception); // Not coprime. |
| x = 123456789012345678901234567891; |
| m = 123456789012345678901234567890; |
| Expect.equals(1, x.modInverse(m)); |
| x = 123456789012345678901234567891; |
| m = 123456789012345678901234567899; |
| Expect.equals(46296295879629629587962962962, x.modInverse(m)); |
| } |
| |
| testBigintGcd() { |
| var x, m; |
| x = 1; |
| m = 1; |
| Expect.equals(1, x.gcd(m)); |
| x = 693; |
| m = 609; |
| Expect.equals(21, x.gcd(m)); |
| x = 693 << 40; |
| m = 609 << 40; |
| Expect.equals(21 << 40, x.gcd(m)); |
| x = 609 << 40; |
| m = 693 << 40; |
| Expect.equals(21 << 40, x.gcd(m)); |
| x = 0; |
| m = 1000000001; |
| Expect.equals(m, x.gcd(m)); |
| x = 1000000001; |
| m = 0; |
| Expect.equals(x, x.gcd(m)); |
| x = 0; |
| m = -1000000001; |
| Expect.equals(-m, x.gcd(m)); |
| x = -1000000001; |
| m = 0; |
| Expect.equals(-x, x.gcd(m)); |
| x = 0; |
| m = 0; |
| Expect.equals(0, x.gcd(m)); |
| x = 0; |
| m = 123456789012345678901234567890; |
| Expect.equals(m, x.gcd(m)); |
| x = 123456789012345678901234567890; |
| m = 0; |
| Expect.equals(x, x.gcd(m)); |
| x = 0; |
| m = -123456789012345678901234567890; |
| Expect.equals(-m, x.gcd(m)); |
| x = -123456789012345678901234567890; |
| m = 0; |
| Expect.equals(-x, x.gcd(m)); |
| x = 1234567890; |
| m = 19; |
| Expect.equals(1, x.gcd(m)); |
| x = 1234567890; |
| m = 1000000001; |
| Expect.equals(1, x.gcd(m)); |
| x = 19; |
| m = 1000000001; |
| Expect.equals(19, x.gcd(m)); |
| x = 19; |
| m = 1234567890; |
| Expect.equals(1, x.gcd(m)); |
| x = 1000000001; |
| m = 1234567890; |
| Expect.equals(1, x.gcd(m)); |
| x = 1000000001; |
| m = 19; |
| Expect.equals(19, x.gcd(m)); |
| x = 12345678901234567890; |
| m = 19; |
| Expect.equals(1, x.gcd(m)); |
| x = 12345678901234567890; |
| m = 10000000000000000001; |
| Expect.equals(1, x.gcd(m)); |
| x = 19; |
| m = 10000000000000000001; |
| Expect.equals(1, x.gcd(m)); |
| x = 19; |
| m = 12345678901234567890; |
| Expect.equals(1, x.gcd(m)); |
| x = 10000000000000000001; |
| m = 12345678901234567890; |
| Expect.equals(1, x.gcd(m)); |
| x = 10000000000000000001; |
| m = 19; |
| Expect.equals(1, x.gcd(m)); |
| x = 12345678901234567890; |
| m = 10000000000000000001; |
| Expect.equals(1, x.gcd(m)); |
| x = 12345678901234567890; |
| m = 19; |
| Expect.equals(1, x.gcd(m)); |
| x = 123456789012345678901234567890; |
| m = 123456789012345678901234567899; |
| Expect.equals(9, x.gcd(m)); |
| x = 123456789012345678901234567890; |
| m = 123456789012345678901234567891; |
| Expect.equals(1, x.gcd(m)); |
| x = 123456789012345678901234567899; |
| m = 123456789012345678901234567891; |
| Expect.equals(1, x.gcd(m)); |
| x = 123456789012345678901234567899; |
| m = 123456789012345678901234567890; |
| Expect.equals(9, x.gcd(m)); |
| x = 123456789012345678901234567891; |
| m = 123456789012345678901234567890; |
| Expect.equals(1, x.gcd(m)); |
| x = 123456789012345678901234567891; |
| m = 123456789012345678901234567899; |
| Expect.equals(1, x.gcd(m)); |
| } |
| |
| testBigintNegate() { |
| var a = 0xF000000000000000F; |
| var b = ~a; // negate. |
| Expect.equals(-0xF0000000000000010, b); |
| Expect.equals(0, a & b); |
| Expect.equals(-1, a | b); |
| } |
| |
| testShiftAmount() { |
| Expect.equals(0, 12 >> 111111111111111111111111111111); |
| Expect.equals(-1, -12 >> 111111111111111111111111111111); |
| bool exceptionCaught = false; |
| try { |
| var a = 1 << 1111111111111111111111111111; |
| } on OutOfMemoryError catch (e) { |
| exceptionCaught = true; |
| } |
| Expect.equals(true, exceptionCaught); |
| } |
| |
| main() { |
| for (int i = 0; i < 10; i++) { |
| Expect.equals(1234567890123456789, foo()); |
| Expect.equals(12345678901234567890, bar()); |
| testSmiOverflow(); // //# overflow: ok |
| testBigintAdd(); // //# add: ok |
| testBigintSub(); // //# sub: ok |
| testBigintMul(); // //# mul: ok |
| testBigintTruncDiv(); // //# trunDiv: ok |
| testBigintDiv(); // //# div: ok |
| testBigintModulo(); // //# mod: ok |
| testBigintModPow(); // //# modPow: ok |
| testBigintModInverse(); // //# modInv: ok |
| testBigintGcd(); // //# gcd: ok |
| testBigintNegate(); // //# negate: ok |
| testShiftAmount(); // //# shift: ok |
| Expect.equals(12345678901234567890, (12345678901234567890).abs()); |
| Expect.equals(12345678901234567890, (-12345678901234567890).abs()); |
| var a = 10000000000000000000; |
| var b = 10000000000000000001; |
| Expect.equals(false, a.hashCode == b.hashCode); |
| Expect.equals(true, a.hashCode == (b - 1).hashCode); |
| } |
| } |