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// 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);
}
}