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// Extensive test for (BigInt R BigInt(Int32)) comparison operations, testing the output
// is correct and consistent with (BigInt(Int32) R⁻¹ BigInt).
function LessThan(xs) {
for (var i = 0; i < 100; ++i) {
var x = xs[i % xs.length];
assertEq(x == INT32, false);
assertEq(INT32 == x, false);
assertEq(x != INT32, true);
assertEq(INT32 != x, true);
assertEq(x < INT32, true);
assertEq(INT32 < x, false);
assertEq(x <= INT32, true);
assertEq(INT32 <= x, false);
assertEq(x > INT32, false);
assertEq(INT32 > x, true);
assertEq(x >= INT32, false);
assertEq(INT32 >= x, true);
}
}
function GreaterThan(xs) {
for (var i = 0; i < 100; ++i) {
var x = xs[i % xs.length];
assertEq(x == INT32, false);
assertEq(INT32 == x, false);
assertEq(x != INT32, true);
assertEq(INT32 != x, true);
assertEq(x < INT32, false);
assertEq(INT32 < x, true);
assertEq(x <= INT32, false);
assertEq(INT32 <= x, true);
assertEq(x > INT32, true);
assertEq(INT32 > x, false);
assertEq(x >= INT32, true);
assertEq(INT32 >= x, false);
}
}
function Equal(xs) {
for (var i = 0; i < 100; ++i) {
var x = xs[i % xs.length];
assertEq(x == INT32, true);
assertEq(INT32 == x, true);
assertEq(x != INT32, false);
assertEq(INT32 != x, false);
assertEq(x < INT32, false);
assertEq(INT32 < x, false);
assertEq(x <= INT32, true);
assertEq(INT32 <= x, true);
assertEq(x > INT32, false);
assertEq(INT32 > x, false);
assertEq(x >= INT32, true);
assertEq(INT32 >= x, true);
}
}
function test(fn, xs, ys) {
// Clone the test function to ensure a new function is compiled each time.
for (let y of ys) {
let copy = Function(`return ${fn}`.replaceAll("INT32", `${(y|0)}n`))();
copy(xs);
}
}
const negativeInt32 = [-2147483648, -2147483647, -1];
const zeroInt32 = [0];
const positiveInt32 = [1, 2147483646, 2147483647];
const zeroOrPositiveInt32 = [...zeroInt32, ...positiveInt32];
const anyInt32 = [...negativeInt32, ...zeroInt32, ...positiveInt32];
// Test when the BigInt is too large to be representable as a single BigInt digit.
function testLarge() {
var xs = [
2n ** 32n, // exceeds single digit limit on 32-bit
2n ** 64n, // exceeds single digit limit on 64-bit
2n ** 96n, // not a single digit on either platform
];
test(GreaterThan, xs, anyInt32);
var xs = [
-(2n ** 32n), // exceeds single digit limit on 32-bit
-(2n ** 64n), // exceeds single digit limit on 64-bit
-(2n ** 96n), // not a single digit on either platform
];
test(LessThan, xs, anyInt32);
}
testLarge();
// Test when the BigInt is 0n.
function testZero() {
var xs = [
0n
];
test(GreaterThan, xs, negativeInt32);
test(Equal, xs, zeroInt32);
test(LessThan, xs, positiveInt32);
}
testZero();
// Test when both numbers are negative.
function testNegative() {
var xs = [
-(2n ** 64n) - 2n,
-(2n ** 64n) - 1n, // Max negative using a single BigInt digit on 64-bit.
-(2n ** 64n),
-(2n ** 32n) - 2n,
-(2n ** 32n) - 1n, // Max negative using a single BigInt digit on 32-bit.
-(2n ** 32n),
-(2n ** 31n) - 1n, // One past max negative for Int32.
];
test(LessThan, xs, negativeInt32);
var xs = [
-(2n ** 31n), // Max negative for Int32.
];
test(Equal, xs, [-2147483648]);
test(LessThan, xs, [-2147483647, -1]);
var xs = [
-(2n ** 31n) + 1n,
];
test(GreaterThan, xs, [-2147483648]);
test(Equal, xs, [-2147483647]);
test(LessThan, xs, [-1]);
var xs = [
-1n,
];
test(GreaterThan, xs, [-2147483648, -2147483647]);
test(Equal, xs, [-1]);
}
testNegative();
// Test when both numbers are positive (and BigInt strictly positive).
function testPositive() {
var xs = [
1n,
];
test(GreaterThan, xs, [0]);
test(Equal, xs, [1]);
test(LessThan, xs, [2147483646, 2147483647]);
var xs = [
2n ** 31n - 2n,
];
test(GreaterThan, xs, [0, 1]);
test(Equal, xs, [2147483646]);
test(LessThan, xs, [2147483647]);
var xs = [
2n ** 31n - 1n, // Max positive for Int32.
];
test(GreaterThan, xs, [0, 1, 2147483646]);
test(Equal, xs, [2147483647]);
var xs = [
2n ** 31n, // One past max positive for Int32.
2n ** 32n - 2n,
2n ** 32n - 1n, // Max positive using a single BigInt digit on 32-bit.
2n ** 32n,
2n ** 64n - 2n,
2n ** 64n - 1n, // Max positive using a single BigInt digit on 64-bit.
2n ** 64n,
];
test(GreaterThan, xs, zeroOrPositiveInt32);
}
testPositive();
// Test negative BigInt and positive Int32.
function testNegativePositive() {
var xs = [
-(2n ** 64n) - 2n,
-(2n ** 64n) - 1n, // Max negative using a single BigInt digit on 64-bit.
-(2n ** 64n),
-(2n ** 32n) - 2n,
-(2n ** 32n) - 1n, // Max negative using a single BigInt digit on 32-bit.
-(2n ** 32n),
-(2n ** 31n) - 1n,
-(2n ** 31n), // Max negative for Int32.
-(2n ** 31n) + 1n,
-2n, // Extra entry to ensure assertAllCombinationsTested passes.
-1n,
];
test(LessThan, xs, zeroOrPositiveInt32);
}
testNegativePositive();
// Test (strictly) positive BigInt and negative Int32.
function testPositiveNegative() {
var xs = [
1n,
2n ** 31n - 2n,
2n ** 31n - 1n, // Max positive for Int32.
2n ** 31n,
2n ** 32n - 2n,
2n ** 32n - 1n, // Max positive using a single BigInt digit on 32-bit.
2n ** 32n,
2n ** 64n - 2n,
2n ** 64n - 1n, // Max positive using a single BigInt digit on 64-bit.
2n ** 64n,
];
test(GreaterThan, xs, negativeInt32);
}
testPositiveNegative();