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Copy pathMinHeapLib.t.sol
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695 lines (642 loc) · 23.3 KB
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// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
import "./utils/SoladyTest.sol";
import {MinHeapLib} from "../src/utils/MinHeapLib.sol";
import {LibSort} from "../src/utils/LibSort.sol";
import {LibPRNG} from "../src/utils/LibPRNG.sol";
contract MinHeapLibTest is SoladyTest {
using MinHeapLib for *;
using LibPRNG for *;
MinHeapLib.Heap heap0;
MinHeapLib.Heap heap1;
uint256[] heapDataInStorage;
function testHeapRoot(uint256 x) public {
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
this.root();
}
heap0.data.push(x);
assertEq(heap0.length(), 1);
assertEq(heap0.root(), x);
}
function root() public view returns (uint256) {
return heap0.root();
}
function testHeapPushAndPop(uint256) public {
unchecked {
uint256 n = _random() % 8;
uint256[] memory a = new uint256[](n);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
a[i] = r;
heap0.push(r);
}
LibSort.insertionSort(a);
for (uint256 i; i < n; ++i) {
assertEq(heap0.pop(), a[i]);
}
assertEq(heap0.length(), 0);
}
}
function testHeapPushPop(uint256) public {
unchecked {
uint256 n = _random() % 8;
uint256[] memory a = new uint256[](n + 1);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
heap0.push(r);
heap1.push(r);
a[i + 1] = r;
}
n = _random() % 8;
for (uint256 i; i < n; ++i) {
uint256 r = _random();
a[0] = r;
LibSort.insertionSort(a);
uint256 popped0 = heap0.pushPop(r);
heap1.push(r);
uint256 popped1 = heap1.pop();
assertEq(popped0, popped1);
}
LibSort.insertionSort(a);
n = heap0.length();
for (uint256 i; i < n; ++i) {
assertEq(heap0.pop(), a[i + 1]);
}
}
}
function testHeapPushPopLength(uint256) public brutalizeMemory {
unchecked {
uint256 heap0Length;
uint256 heap1Length;
do {
if (_randomChance(2)) {
heap0.push(_random());
assertEq(heap0.data.length, ++heap0Length);
}
if (heap0Length != 0 && _randomChance(2)) {
heap0.pop();
assertEq(heap0.data.length, --heap0Length);
}
if (_randomChance(2)) {
heap1.push(_random());
assertEq(heap1.data.length, ++heap1Length);
}
if (heap1Length != 0 && _randomChance(2)) {
heap1.pop();
assertEq(heap1.data.length, --heap1Length);
}
} while (!_randomChance(16));
}
}
function testHeapReplace(uint256) public {
unchecked {
uint256 n = _random() % 8 + 1;
uint256[] memory a = new uint256[](n);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
heap0.push(r);
heap1.push(r);
a[i] = r;
}
n = _random() % 8;
for (uint256 i; i < n; ++i) {
uint256 r = _random();
LibSort.insertionSort(a);
a[0] = r;
uint256 popped0 = heap0.replace(r);
uint256 popped1 = heap1.pop();
heap1.push(r);
assertEq(popped0, popped1);
}
LibSort.insertionSort(a);
n = heap0.length();
for (uint256 i; i < n; ++i) {
assertEq(heap0.pop(), a[i]);
}
}
}
function testHeapSmallest(uint256) public brutalizeMemory {
unchecked {
uint256 n = _random() & 15 == 0 ? _random() % 256 : _random() % 32;
for (uint256 i; i < n; ++i) {
heap0.push(_random());
}
if (_random() & 7 == 0) {
n = _random() % 32;
for (uint256 i; i < n; ++i) {
heap0.pushPop(_random());
if (_random() & 1 == 0) {
heap0.push(_random());
if (_random() & 1 == 0) heap0.pop();
}
if (_random() & 1 == 0) if (heap0.length() != 0) heap0.replace(_random());
}
}
uint256 k = _random() & 15 == 0 ? _random() % 256 : _random() % 32;
k = _random() & 31 == 0 ? 1 << 255 : k;
if (_random() & 7 == 0) _brutalizeMemory();
uint256[] memory computed = heap0.smallest(k);
_checkMemory();
if (_random() & 7 == 0) _brutalizeMemory();
assertEq(computed, _smallest(heap0.data, k));
}
}
function testHeapSmallestGas() public {
unchecked {
for (uint256 i; i < 2048; ++i) {
heap0.push(_random());
}
uint256 gasBefore = gasleft();
heap0.smallest(512);
uint256 gasUsed = gasBefore - gasleft();
emit LogUint("gasUsed", gasUsed);
}
}
function _smallest(uint256[] memory a, uint256 n)
internal
view
returns (uint256[] memory result)
{
result = _copy(a);
LibSort.insertionSort(result);
uint256 k = _min(n, result.length);
/// @solidity memory-safe-assembly
assembly {
mstore(result, k)
}
}
function _copy(uint256[] memory a) private view returns (uint256[] memory b) {
/// @solidity memory-safe-assembly
assembly {
b := mload(0x40)
let n := add(shl(5, mload(a)), 0x20)
pop(staticcall(gas(), 4, a, n, b, n))
mstore(0x40, add(b, n))
}
}
function _min(uint256 a, uint256 b) private pure returns (uint256) {
return a < b ? a : b;
}
function testHeapPSiftTrick(uint256 c, uint256 h, uint256 e) public {
assertEq(_heapPSiftTrick(c, h, e), _heapPSiftTrickOriginal(c, h, e));
}
function _heapPSiftTrick(uint256 c, uint256 h, uint256 e)
internal
pure
returns (uint256 result)
{
/// @solidity memory-safe-assembly
assembly {
function pValue(h_, p_) -> _v {
mstore(0x00, h_)
mstore(0x20, p_)
_v := keccak256(0x00, 0x40)
}
if lt(c, e) {
c := add(c, gt(pValue(h, c), pValue(h, add(c, lt(add(c, 1), e)))))
result := c
}
}
}
function _heapPSiftTrickOriginal(uint256 childPos, uint256 sOffset, uint256 n)
internal
pure
returns (uint256 result)
{
/// @solidity memory-safe-assembly
assembly {
function pValue(h_, p_) -> _v {
mstore(0x00, h_)
mstore(0x20, p_)
_v := keccak256(0x00, 0x40)
}
if lt(childPos, n) {
let child := pValue(sOffset, childPos)
let rightPos := add(childPos, 1)
let right := pValue(sOffset, rightPos)
if or(iszero(lt(rightPos, n)), lt(child, right)) {
right := child
rightPos := childPos
}
result := rightPos
}
}
}
function testHeapEnqueue(uint256) public {
unchecked {
uint256 maxLength = _random() % 8 + 1;
uint256 m = _random() % 32 + maxLength;
uint256[] memory a = new uint256[](m);
uint256[] memory rejected = new uint256[](m);
uint256 numRejected;
for (uint256 i; i < m; ++i) {
uint256 r = _random();
(bool success, bool hasPopped, uint256 popped) = heap0.enqueue(r, maxLength);
if (hasPopped) {
assertEq(heap0.length(), maxLength);
assertEq(success, true);
rejected[numRejected++] = popped;
}
if (!success) {
assertEq(heap0.length(), maxLength);
rejected[numRejected++] = r;
}
a[i] = r;
}
LibSort.insertionSort(a);
/// @solidity memory-safe-assembly
assembly {
mstore(rejected, numRejected)
}
LibSort.insertionSort(rejected);
for (uint256 i; i < maxLength; ++i) {
assertEq(a[m - maxLength + i], heap0.pop());
}
assertEq(numRejected + maxLength, m);
for (uint256 i; i < numRejected; ++i) {
assertEq(a[i], rejected[i]);
}
}
}
function testHeapEnqueue2(uint256) public {
unchecked {
uint256 maxLength = _random() & 31 == 0 ? 1 << 255 : _random() % 32 + 1;
uint256 m = _random() % 32 + 1;
for (uint256 i; i < m; ++i) {
uint256 r = _random();
heap0.enqueue(r, maxLength);
heap1.push(r);
if (heap1.length() > maxLength) heap1.pop();
}
uint256 k = _random() % m;
k = _random() & 31 == 0 ? 1 << 255 : k;
assertEq(heap0.smallest(k), heap1.smallest(k));
}
}
function testHeapEnqueueGas() public {
unchecked {
for (uint256 t = 8; t < 16; ++t) {
uint256 maxLength = t;
for (uint256 i; i < 16; ++i) {
heap0.enqueue(i, maxLength);
}
for (uint256 i; i < 16; ++i) {
heap0.enqueue(_random() % 16, maxLength);
}
}
while (heap0.length() != 0) heap0.pop();
}
}
function testHeapEnqueueZeroMaxLengthReverts(uint256) public {
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
this.enqueue(_random(), 0);
}
this.enqueue(_random(), 1);
}
function enqueue(uint256 x, uint256 cap) public {
heap0.enqueue(x, cap);
}
function testHeapReplaceOrPopEmptyHeapReverts(uint256) public {
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
if (_randomChance(2)) {
this.replace(_random());
} else {
this.pop();
}
}
heap0.push(_random());
if (_randomChance(2)) {
heap0.replace(_random());
} else {
heap0.pop();
}
}
function replace(uint256 x) public {
heap0.replace(x);
}
function pop() public {
heap0.pop();
}
function testMemHeapRoot(uint256 x) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
this.emptyMemHeapRoot();
}
heapA.push(x);
assertEq(heapA.length(), 1);
assertEq(heapA.root(), x);
}
function emptyMemHeapRoot() public pure {
MinHeapLib.MemHeap memory heapA;
heapA.root();
}
function testMemHeapPushAndPop(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
unchecked {
uint256 n = _random() % 64;
uint256[] memory a = new uint256[](n);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
a[i] = r;
if (_randomChance(16)) heapA.reserve(_random() % 256);
heapA.push(r);
_checkMemory();
if (_randomChance(32)) _brutalizeMemory();
if (_randomChance(16)) heapA.reserve(_random() % 256);
}
LibSort.insertionSort(a);
for (uint256 i; i < n; ++i) {
assertEq(heapA.pop(), a[i]);
}
assertEq(heapA.length(), 0);
}
}
function testMemHeapPushPop(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
MinHeapLib.MemHeap memory heapB;
unchecked {
uint256 n = _random() % 64;
uint256[] memory a = new uint256[](n + 1);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
if (_randomChance(16)) heapA.reserve(_random() % 256);
heapA.push(r);
_checkMemory();
if (_randomChance(32)) _brutalizeMemory();
if (_randomChance(16)) heapA.reserve(_random() % 256);
if (_randomChance(16)) heapB.reserve(_random() % 256);
heapB.push(r);
_checkMemory();
if (_randomChance(32)) _brutalizeMemory();
if (_randomChance(16)) heapB.reserve(_random() % 256);
a[i + 1] = r;
}
n = _random() % 8;
for (uint256 i; i < n; ++i) {
uint256 r = _random();
a[0] = r;
LibSort.insertionSort(a);
uint256 popped0 = heapA.pushPop(r);
heapB.push(r);
uint256 popped1 = heapB.pop();
assertEq(popped0, popped1);
}
LibSort.insertionSort(a);
n = heapA.length();
for (uint256 i; i < n; ++i) {
assertEq(heapA.pop(), a[i + 1]);
}
}
}
function testMemHeapPushPopLength(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
MinHeapLib.MemHeap memory heapB;
unchecked {
uint256 heapALength;
uint256 heapBLength;
do {
if (_randomChance(2)) {
if (_randomChance(16)) heapA.reserve(_random() % 256);
heapA.push(_random());
assertEq(heapA.data.length, ++heapALength);
if (_randomChance(16)) heapA.reserve(_random() % 256);
}
if (heapALength != 0 && _randomChance(2)) {
if (_randomChance(16)) heapA.reserve(_random() % 256);
heapA.pop();
assertEq(heapA.data.length, --heapALength);
if (_randomChance(16)) heapA.reserve(_random() % 256);
}
if (_randomChance(2)) {
if (_randomChance(16)) heapB.reserve(_random() % 256);
heapB.push(_random());
assertEq(heapB.data.length, ++heapBLength);
if (_randomChance(16)) heapB.reserve(_random() % 256);
}
if (heapBLength != 0 && _randomChance(2)) {
if (_randomChance(16)) heapB.reserve(_random() % 256);
heapB.pop();
assertEq(heapB.data.length, --heapBLength);
if (_randomChance(16)) heapB.reserve(_random() % 256);
}
} while (!_randomChance(16));
}
}
function testMemHeapReplace(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
MinHeapLib.MemHeap memory heapB;
unchecked {
uint256 n = _random() % 64 + 1;
uint256[] memory a = new uint256[](n);
for (uint256 i; i < n; ++i) {
uint256 r = _random();
heapA.push(r);
heapB.push(r);
a[i] = r;
}
n = _random() % 8;
for (uint256 i; i < n; ++i) {
uint256 r = _random();
LibSort.insertionSort(a);
a[0] = r;
uint256 popped0 = heapA.replace(r);
uint256 popped1 = heapB.pop();
heapB.push(r);
assertEq(popped0, popped1);
}
LibSort.insertionSort(a);
n = heapA.length();
for (uint256 i; i < n; ++i) {
assertEq(heapA.pop(), a[i]);
}
}
}
function testMemHeapSmallest(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
unchecked {
uint256 n = _random() & 15 == 0 ? _random() % 256 : _random() % 64;
for (uint256 i; i < n; ++i) {
heapA.push(_random());
}
if (_random() & 7 == 0) {
n = _random() % 32;
for (uint256 i; i < n; ++i) {
heapA.pushPop(_random());
if (_random() & 1 == 0) {
heapA.push(_random());
if (_random() & 1 == 0) heapA.pop();
}
if (_random() & 1 == 0) if (heapA.length() != 0) heapA.replace(_random());
}
}
uint256 k = _random() & 15 == 0 ? _random() % 256 : _random() % 64;
k = _random() & 31 == 0 ? 1 << 255 : k;
if (_random() & 7 == 0) _brutalizeMemory();
uint256[] memory computed = heapA.smallest(k);
_checkMemory();
if (_random() & 7 == 0) _brutalizeMemory();
assertEq(computed, _smallest(heapA.data, k));
}
}
function testMemHeapSmallestGas() public {
MinHeapLib.MemHeap memory heapA;
LibPRNG.PRNG memory prng;
unchecked {
for (uint256 i; i < 2048; ++i) {
heapA.push(prng.next());
}
uint256 gasBefore = gasleft();
heapA.smallest(512);
uint256 gasUsed = gasBefore - gasleft();
emit LogUint("gasUsed", gasUsed);
}
}
function testMemHeapEnqueue(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
unchecked {
uint256 maxLength = _random() % 64 + 1;
uint256[] memory a = new uint256[](_random() % 32 + maxLength);
uint256[] memory rejected = new uint256[](a.length);
uint256 numRejected;
bool testReinit = _randomChance(2);
for (uint256 i; i < a.length; ++i) {
uint256 r = _random();
(bool success, bool hasPopped, uint256 popped) = heapA.enqueue(r, maxLength);
if (testReinit) {
if (_randomChance(2)) {
heapDataInStorage = heapA.data;
heapA = MinHeapLib.MemHeap(heapDataInStorage);
_checkMemory();
}
if (_randomChance(2)) {
heapDataInStorage = heapA.data;
uint256[] memory data = heapDataInStorage;
heapA = MinHeapLib.MemHeap(data);
_checkMemory();
}
}
if (hasPopped) {
assertEq(heapA.length(), maxLength);
assertEq(success, true);
rejected[numRejected++] = popped;
}
if (!success) {
assertEq(heapA.length(), maxLength);
rejected[numRejected++] = r;
}
a[i] = r;
}
LibSort.insertionSort(a);
/// @solidity memory-safe-assembly
assembly {
mstore(rejected, numRejected)
}
LibSort.insertionSort(rejected);
for (uint256 i; i < maxLength; ++i) {
assertEq(a[a.length - maxLength + i], heapA.pop());
}
assertEq(numRejected + maxLength, a.length);
for (uint256 i; i < numRejected; ++i) {
assertEq(a[i], rejected[i]);
}
}
}
function testMemHeapEnqueue2(uint256) public brutalizeMemory {
MinHeapLib.MemHeap memory heapA;
MinHeapLib.MemHeap memory heapB;
unchecked {
uint256 maxLength = _random() & 31 == 0 ? 1 << 255 : _random() % 64 + 1;
uint256 m = _random() % 64 + 1;
for (uint256 i; i < m; ++i) {
uint256 r = _random();
heapA.enqueue(r, maxLength);
heapB.push(r);
if (heapB.length() > maxLength) heapB.pop();
}
uint256 k = _random() % m;
k = _random() & 31 == 0 ? 1 << 255 : k;
assertEq(heapA.smallest(k), heapB.smallest(k));
}
}
function testMemHeapPushGas() public pure {
MinHeapLib.MemHeap memory heapA;
unchecked {
for (uint256 i; i < 64; ++i) {
heapA.push(i);
}
}
}
function testMemHeapEnqueueZeroMaxLengthReverts(uint256) public {
MinHeapLib.MemHeap memory heapA;
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
this.memHeapEnqueueZeroMaxLengthReverts(_random());
}
heapA.enqueue(_random(), 1);
}
function memHeapEnqueueZeroMaxLengthReverts(uint256 x) public pure {
MinHeapLib.MemHeap memory heapA;
heapA.enqueue(x, 0);
}
function testMemHeapReplaceOrPopEmptyHeapReverts(uint256) public {
MinHeapLib.MemHeap memory heapA;
if (_randomChance(2)) {
vm.expectRevert(MinHeapLib.HeapIsEmpty.selector);
this.memHeapReplaceOrPopEmptyHeapReverts(_random(), _randomChance(2));
}
heapA.push(_random());
if (_randomChance(2)) {
heapA.replace(_random());
} else {
heapA.pop();
}
}
function memHeapReplaceOrPopEmptyHeapReverts(uint256 x, bool r) public pure {
MinHeapLib.MemHeap memory heapA;
if (r) {
heapA.replace(x);
} else {
heapA.pop();
}
}
function testMemHeapEnqueueGas() public pure {
MinHeapLib.MemHeap memory heapA;
LibPRNG.PRNG memory prng;
unchecked {
for (uint256 t = 8; t < 16; ++t) {
uint256 maxLength = t;
for (uint256 i; i < 16; ++i) {
heapA.enqueue(i, maxLength);
}
for (uint256 i; i < 16; ++i) {
heapA.enqueue(prng.next() % 16, maxLength);
}
}
while (heapA.length() != 0) heapA.pop();
}
}
function testMemHeapWriteAndReadFromStorage() public {
MinHeapLib.MemHeap memory heapA = MinHeapLib.MemHeap(new uint256[](0));
MinHeapLib.push(heapA, 9999999999999999999999999999999999999999999999);
heapDataInStorage = heapA.data;
MinHeapLib.MemHeap memory heapB = MinHeapLib.MemHeap(heapDataInStorage);
for (uint256 i = 0; i < 32; i++) {
MinHeapLib.push(heapB, 69 + i);
}
assertEq(MinHeapLib.root(heapB), 69);
}
function testMemHeapWriteAndReadFromStorage2() public {
MinHeapLib.MemHeap memory heapA = MinHeapLib.MemHeap(new uint256[](0));
MinHeapLib.push(heapA, 9999999999999999999999999999999999999999999999);
heapDataInStorage = heapA.data;
uint256[] memory unstore = heapDataInStorage;
MinHeapLib.MemHeap memory heapB = MinHeapLib.MemHeap(unstore);
for (uint256 i = 0; i < 32; i++) {
MinHeapLib.push(heapB, 69 + i);
}
}
}