diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 762a296..a1ce66d 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -39,7 +39,3 @@ jobs:
forge build --sizes
id: build
- - name: Run Forge tests
- run: |
- forge test -vvv
- id: test
diff --git a/remappings.txt b/remappings.txt
index 83fbb69..719466e 100644
--- a/remappings.txt
+++ b/remappings.txt
@@ -1 +1,3 @@
-forge-std/=lib/forge-std/src/
\ No newline at end of file
+forge-std/=lib/forge-std/src/
+@uniswap/lib/contracts/libraries/=lib/uniswap-lib/src/
+@uniswap/v2-core/contracts/=lib/uniswap-v2-core/src/
diff --git a/src/UniswapV2Migrator.sol b/src/UniswapV2Migrator.sol
new file mode 100644
index 0000000..dfd5bc4
--- /dev/null
+++ b/src/UniswapV2Migrator.sol
@@ -0,0 +1,44 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/lib/contracts/libraries/TransferHelper.sol";
+
+import "./interfaces/IUniswapV2Migrator.sol";
+import "./interfaces/V1/IUniswapV1Factory.sol";
+import "./interfaces/V1/IUniswapV1Exchange.sol";
+import "./interfaces/IUniswapV2Router01.sol";
+import "./interfaces/IERC20.sol";
+
+contract UniswapV2Migrator is IUniswapV2Migrator {
+ IUniswapV1Factory immutable factoryV1;
+ IUniswapV2Router01 immutable router;
+
+ constructor(address _factoryV1, address _router) {
+ factoryV1 = IUniswapV1Factory(_factoryV1);
+ router = IUniswapV2Router01(_router);
+ }
+
+ // needs to accept ETH from any v1 exchange and the router. ideally this could be enforced, as in the router,
+ // but it's not possible because it requires a call to the v1 factory, which takes too much gas
+ receive() external payable {}
+
+ function migrate(address token, uint256 amountTokenMin, uint256 amountETHMin, address to, uint256 deadline)
+ external
+ override
+ {
+ IUniswapV1Exchange exchangeV1 = IUniswapV1Exchange(factoryV1.getExchange(token));
+ uint256 liquidityV1 = exchangeV1.balanceOf(msg.sender);
+ require(exchangeV1.transferFrom(msg.sender, address(this), liquidityV1), "TRANSFER_FROM_FAILED");
+ (uint256 amountETHV1, uint256 amountTokenV1) = exchangeV1.removeLiquidity(liquidityV1, 1, 1, type(uint256).max);
+ TransferHelper.safeApprove(token, address(router), amountTokenV1);
+ (uint256 amountTokenV2, uint256 amountETHV2,) =
+ router.addLiquidityETH{value: amountETHV1}(token, amountTokenV1, amountTokenMin, amountETHMin, to, deadline);
+ if (amountTokenV1 > amountTokenV2) {
+ TransferHelper.safeApprove(token, address(router), 0); // be a good blockchain citizen, reset allowance to 0
+ TransferHelper.safeTransfer(token, msg.sender, amountTokenV1 - amountTokenV2);
+ } else if (amountETHV1 > amountETHV2) {
+ // addLiquidityETH guarantees that all of amountETHV1 or amountTokenV1 will be used, hence this else is safe
+ TransferHelper.safeTransferETH(msg.sender, amountETHV1 - amountETHV2);
+ }
+ }
+}
diff --git a/src/UniswapV2Router01.sol b/src/UniswapV2Router01.sol
new file mode 100644
index 0000000..422fca0
--- /dev/null
+++ b/src/UniswapV2Router01.sol
@@ -0,0 +1,323 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
+import "@uniswap/lib/contracts/libraries/TransferHelper.sol";
+
+import "./libraries/UniswapV2Library.sol";
+import "./interfaces/IUniswapV2Router01.sol";
+import "./interfaces/IERC20.sol";
+import "./interfaces/IWETH.sol";
+
+contract UniswapV2Router01 is IUniswapV2Router01 {
+ address public immutable override factory;
+ address public immutable override WETH;
+
+ modifier ensure(uint256 deadline) {
+ require(deadline >= block.timestamp, "UniswapV2Router: EXPIRED");
+ _;
+ }
+
+ constructor(address _factory, address _WETH) {
+ factory = _factory;
+ WETH = _WETH;
+ }
+
+ receive() external payable {
+ assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
+ }
+
+ // **** ADD LIQUIDITY ****
+ function _addLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 amountADesired,
+ uint256 amountBDesired,
+ uint256 amountAMin,
+ uint256 amountBMin
+ ) private returns (uint256 amountA, uint256 amountB) {
+ // create the pair if it doesn't exist yet
+ if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
+ IUniswapV2Factory(factory).createPair(tokenA, tokenB);
+ }
+ (uint256 reserveA, uint256 reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
+ if (reserveA == 0 && reserveB == 0) {
+ (amountA, amountB) = (amountADesired, amountBDesired);
+ } else {
+ uint256 amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
+ if (amountBOptimal <= amountBDesired) {
+ require(amountBOptimal >= amountBMin, "UniswapV2Router: INSUFFICIENT_B_AMOUNT");
+ (amountA, amountB) = (amountADesired, amountBOptimal);
+ } else {
+ uint256 amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
+ assert(amountAOptimal <= amountADesired);
+ require(amountAOptimal >= amountAMin, "UniswapV2Router: INSUFFICIENT_A_AMOUNT");
+ (amountA, amountB) = (amountAOptimal, amountBDesired);
+ }
+ }
+ }
+
+ function addLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 amountADesired,
+ uint256 amountBDesired,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) external override ensure(deadline) returns (uint256 amountA, uint256 amountB, uint256 liquidity) {
+ (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
+ TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
+ liquidity = IUniswapV2Pair(pair).mint(to);
+ }
+
+ function addLiquidityETH(
+ address token,
+ uint256 amountTokenDesired,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) external payable override ensure(deadline) returns (uint256 amountToken, uint256 amountETH, uint256 liquidity) {
+ (amountToken, amountETH) =
+ _addLiquidity(token, WETH, amountTokenDesired, msg.value, amountTokenMin, amountETHMin);
+ address pair = UniswapV2Library.pairFor(factory, token, WETH);
+ TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
+ IWETH(WETH).deposit{value: amountETH}();
+ assert(IWETH(WETH).transfer(pair, amountETH));
+ liquidity = IUniswapV2Pair(pair).mint(to);
+ if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH); // refund dust eth, if any
+ }
+
+ // **** REMOVE LIQUIDITY ****
+ function removeLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) public override ensure(deadline) returns (uint256 amountA, uint256 amountB) {
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
+ (uint256 amount0, uint256 amount1) = IUniswapV2Pair(pair).burn(to);
+ (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
+ (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
+ require(amountA >= amountAMin, "UniswapV2Router: INSUFFICIENT_A_AMOUNT");
+ require(amountB >= amountBMin, "UniswapV2Router: INSUFFICIENT_B_AMOUNT");
+ }
+
+ function removeLiquidityETH(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) public override ensure(deadline) returns (uint256 amountToken, uint256 amountETH) {
+ (amountToken, amountETH) =
+ removeLiquidity(token, WETH, liquidity, amountTokenMin, amountETHMin, address(this), deadline);
+ TransferHelper.safeTransfer(token, to, amountToken);
+ IWETH(WETH).withdraw(amountETH);
+ TransferHelper.safeTransferETH(to, amountETH);
+ }
+
+ function removeLiquidityWithPermit(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external override returns (uint256 amountA, uint256 amountB) {
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ uint256 value = approveMax ? type(uint256).max : liquidity;
+ IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
+ (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
+ }
+
+ function removeLiquidityETHWithPermit(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external override returns (uint256 amountToken, uint256 amountETH) {
+ address pair = UniswapV2Library.pairFor(factory, token, WETH);
+ uint256 value = approveMax ? type(uint256).max : liquidity;
+ IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
+ (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
+ }
+
+ // **** SWAP ****
+ // requires the initial amount to have already been sent to the first pair
+ function _swap(uint256[] memory amounts, address[] memory path, address _to) private {
+ for (uint256 i; i < path.length - 1; i++) {
+ (address input, address output) = (path[i], path[i + 1]);
+ (address token0,) = UniswapV2Library.sortTokens(input, output);
+ uint256 amountOut = amounts[i + 1];
+ (uint256 amount0Out, uint256 amount1Out) =
+ input == token0 ? (uint256(0), amountOut) : (amountOut, uint256(0));
+ address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
+ IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
+ amount0Out, amount1Out, to, new bytes(0)
+ );
+ }
+ }
+
+ function swapExactTokensForTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external override ensure(deadline) returns (uint256[] memory amounts) {
+ amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, to);
+ }
+
+ function swapTokensForExactTokens(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external override ensure(deadline) returns (uint256[] memory amounts) {
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= amountInMax, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, to);
+ }
+
+ function swapExactETHForTokens(uint256 amountOutMin, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ override
+ ensure(deadline)
+ returns (uint256[] memory amounts)
+ {
+ require(path[0] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ IWETH(WETH).deposit{value: amounts[0]}();
+ assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
+ _swap(amounts, path, to);
+ }
+
+ function swapTokensForExactETH(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external override ensure(deadline) returns (uint256[] memory amounts) {
+ require(path[path.length - 1] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= amountInMax, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, address(this));
+ IWETH(WETH).withdraw(amounts[amounts.length - 1]);
+ TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
+ }
+
+ function swapExactTokensForETH(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external override ensure(deadline) returns (uint256[] memory amounts) {
+ require(path[path.length - 1] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, address(this));
+ IWETH(WETH).withdraw(amounts[amounts.length - 1]);
+ TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
+ }
+
+ function swapETHForExactTokens(uint256 amountOut, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ override
+ ensure(deadline)
+ returns (uint256[] memory amounts)
+ {
+ require(path[0] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= msg.value, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ IWETH(WETH).deposit{value: amounts[0]}();
+ assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
+ _swap(amounts, path, to);
+ if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]); // refund dust eth, if any
+ }
+
+ function quote(uint256 amountA, uint256 reserveA, uint256 reserveB)
+ public
+ pure
+ override
+ returns (uint256 amountB)
+ {
+ return UniswapV2Library.quote(amountA, reserveA, reserveB);
+ }
+
+ function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
+ public
+ pure
+ override
+ returns (uint256 amountOut)
+ {
+ return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
+ }
+
+ function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
+ public
+ pure
+ override
+ returns (uint256 amountIn)
+ {
+ return UniswapV2Library.getAmountOut(amountOut, reserveIn, reserveOut);
+ }
+
+ function getAmountsOut(uint256 amountIn, address[] memory path)
+ public
+ view
+ override
+ returns (uint256[] memory amounts)
+ {
+ return UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ }
+
+ function getAmountsIn(uint256 amountOut, address[] memory path)
+ public
+ view
+ override
+ returns (uint256[] memory amounts)
+ {
+ return UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ }
+}
diff --git a/src/UniswapV2Router02.sol b/src/UniswapV2Router02.sol
new file mode 100644
index 0000000..e75dca6
--- /dev/null
+++ b/src/UniswapV2Router02.sol
@@ -0,0 +1,456 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
+import "@uniswap/lib/contracts/libraries/TransferHelper.sol";
+
+import "./interfaces/IUniswapV2Router02.sol";
+import "./libraries/UniswapV2Library.sol";
+import "./libraries/SafeMath.sol";
+import "./interfaces/IERC20.sol";
+import "./interfaces/IWETH.sol";
+
+contract UniswapV2Router02 is IUniswapV2Router02 {
+ using SafeMath for uint256;
+
+ address public immutable override factory;
+ address public immutable override WETH;
+
+ modifier ensure(uint256 deadline) {
+ require(deadline >= block.timestamp, "UniswapV2Router: EXPIRED");
+ _;
+ }
+
+ constructor(address _factory, address _WETH) {
+ factory = _factory;
+ WETH = _WETH;
+ }
+
+ receive() external payable {
+ assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
+ }
+
+ // **** ADD LIQUIDITY ****
+ function _addLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 amountADesired,
+ uint256 amountBDesired,
+ uint256 amountAMin,
+ uint256 amountBMin
+ ) internal virtual returns (uint256 amountA, uint256 amountB) {
+ // create the pair if it doesn't exist yet
+ if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
+ IUniswapV2Factory(factory).createPair(tokenA, tokenB);
+ }
+ (uint256 reserveA, uint256 reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
+ if (reserveA == 0 && reserveB == 0) {
+ (amountA, amountB) = (amountADesired, amountBDesired);
+ } else {
+ uint256 amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
+ if (amountBOptimal <= amountBDesired) {
+ require(amountBOptimal >= amountBMin, "UniswapV2Router: INSUFFICIENT_B_AMOUNT");
+ (amountA, amountB) = (amountADesired, amountBOptimal);
+ } else {
+ uint256 amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
+ assert(amountAOptimal <= amountADesired);
+ require(amountAOptimal >= amountAMin, "UniswapV2Router: INSUFFICIENT_A_AMOUNT");
+ (amountA, amountB) = (amountAOptimal, amountBDesired);
+ }
+ }
+ }
+
+ function addLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 amountADesired,
+ uint256 amountBDesired,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) returns (uint256 amountA, uint256 amountB, uint256 liquidity) {
+ (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
+ TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
+ liquidity = IUniswapV2Pair(pair).mint(to);
+ }
+
+ function addLiquidityETH(
+ address token,
+ uint256 amountTokenDesired,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ )
+ external
+ payable
+ virtual
+ override
+ ensure(deadline)
+ returns (uint256 amountToken, uint256 amountETH, uint256 liquidity)
+ {
+ (amountToken, amountETH) =
+ _addLiquidity(token, WETH, amountTokenDesired, msg.value, amountTokenMin, amountETHMin);
+ address pair = UniswapV2Library.pairFor(factory, token, WETH);
+ TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
+ IWETH(WETH).deposit{value: amountETH}();
+ assert(IWETH(WETH).transfer(pair, amountETH));
+ liquidity = IUniswapV2Pair(pair).mint(to);
+ // refund dust eth, if any
+ if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH);
+ }
+
+ // **** REMOVE LIQUIDITY ****
+ function removeLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) public virtual override ensure(deadline) returns (uint256 amountA, uint256 amountB) {
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
+ (uint256 amount0, uint256 amount1) = IUniswapV2Pair(pair).burn(to);
+ (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
+ (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
+ require(amountA >= amountAMin, "UniswapV2Router: INSUFFICIENT_A_AMOUNT");
+ require(amountB >= amountBMin, "UniswapV2Router: INSUFFICIENT_B_AMOUNT");
+ }
+
+ function removeLiquidityETH(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) public virtual override ensure(deadline) returns (uint256 amountToken, uint256 amountETH) {
+ (amountToken, amountETH) =
+ removeLiquidity(token, WETH, liquidity, amountTokenMin, amountETHMin, address(this), deadline);
+ TransferHelper.safeTransfer(token, to, amountToken);
+ IWETH(WETH).withdraw(amountETH);
+ TransferHelper.safeTransferETH(to, amountETH);
+ }
+
+ function removeLiquidityWithPermit(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external virtual override returns (uint256 amountA, uint256 amountB) {
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+ uint256 value = approveMax ? type(uint256).max : liquidity;
+ IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
+ (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
+ }
+
+ function removeLiquidityETHWithPermit(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external virtual override returns (uint256 amountToken, uint256 amountETH) {
+ address pair = UniswapV2Library.pairFor(factory, token, WETH);
+ uint256 value = approveMax ? type(uint256).max : liquidity;
+ IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
+ (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
+ }
+
+ // **** REMOVE LIQUIDITY (supporting fee-on-transfer tokens) ****
+ function removeLiquidityETHSupportingFeeOnTransferTokens(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) public virtual override ensure(deadline) returns (uint256 amountETH) {
+ (, amountETH) = removeLiquidity(token, WETH, liquidity, amountTokenMin, amountETHMin, address(this), deadline);
+ TransferHelper.safeTransfer(token, to, IERC20(token).balanceOf(address(this)));
+ IWETH(WETH).withdraw(amountETH);
+ TransferHelper.safeTransferETH(to, amountETH);
+ }
+
+ function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external virtual override returns (uint256 amountETH) {
+ address pair = UniswapV2Library.pairFor(factory, token, WETH);
+ uint256 value = approveMax ? type(uint256).max : liquidity;
+ IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
+ amountETH = removeLiquidityETHSupportingFeeOnTransferTokens(
+ token, liquidity, amountTokenMin, amountETHMin, to, deadline
+ );
+ }
+
+ // **** SWAP ****
+ // requires the initial amount to have already been sent to the first pair
+ function _swap(uint256[] memory amounts, address[] memory path, address _to) internal virtual {
+ for (uint256 i; i < path.length - 1; i++) {
+ (address input, address output) = (path[i], path[i + 1]);
+ (address token0,) = UniswapV2Library.sortTokens(input, output);
+ uint256 amountOut = amounts[i + 1];
+ (uint256 amount0Out, uint256 amount1Out) =
+ input == token0 ? (uint256(0), amountOut) : (amountOut, uint256(0));
+ address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
+ IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
+ amount0Out, amount1Out, to, new bytes(0)
+ );
+ }
+ }
+
+ function swapExactTokensForTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) returns (uint256[] memory amounts) {
+ amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, to);
+ }
+
+ function swapTokensForExactTokens(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) returns (uint256[] memory amounts) {
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= amountInMax, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, to);
+ }
+
+ function swapExactETHForTokens(uint256 amountOutMin, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ virtual
+ override
+ ensure(deadline)
+ returns (uint256[] memory amounts)
+ {
+ require(path[0] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ IWETH(WETH).deposit{value: amounts[0]}();
+ assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
+ _swap(amounts, path, to);
+ }
+
+ function swapTokensForExactETH(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) returns (uint256[] memory amounts) {
+ require(path[path.length - 1] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= amountInMax, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, address(this));
+ IWETH(WETH).withdraw(amounts[amounts.length - 1]);
+ TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
+ }
+
+ function swapExactTokensForETH(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) returns (uint256[] memory amounts) {
+ require(path[path.length - 1] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ require(amounts[amounts.length - 1] >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
+ );
+ _swap(amounts, path, address(this));
+ IWETH(WETH).withdraw(amounts[amounts.length - 1]);
+ TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
+ }
+
+ function swapETHForExactTokens(uint256 amountOut, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ virtual
+ override
+ ensure(deadline)
+ returns (uint256[] memory amounts)
+ {
+ require(path[0] == WETH, "UniswapV2Router: INVALID_PATH");
+ amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ require(amounts[0] <= msg.value, "UniswapV2Router: EXCESSIVE_INPUT_AMOUNT");
+ IWETH(WETH).deposit{value: amounts[0]}();
+ assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
+ _swap(amounts, path, to);
+ // refund dust eth, if any
+ if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]);
+ }
+
+ // **** SWAP (supporting fee-on-transfer tokens) ****
+ // requires the initial amount to have already been sent to the first pair
+ function _swapSupportingFeeOnTransferTokens(address[] memory path, address _to) internal virtual {
+ for (uint256 i; i < path.length - 1; i++) {
+ (address input, address output) = (path[i], path[i + 1]);
+ (address token0,) = UniswapV2Library.sortTokens(input, output);
+ IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output));
+ uint256 amountInput;
+ uint256 amountOutput;
+ {
+ // scope to avoid stack too deep errors
+ (uint256 reserve0, uint256 reserve1,) = pair.getReserves();
+ (uint256 reserveInput, uint256 reserveOutput) =
+ input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
+ amountInput = IERC20(input).balanceOf(address(pair)).sub(reserveInput);
+ amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
+ }
+ (uint256 amount0Out, uint256 amount1Out) =
+ input == token0 ? (uint256(0), amountOutput) : (amountOutput, uint256(0));
+ address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
+ pair.swap(amount0Out, amount1Out, to, new bytes(0));
+ }
+ }
+
+ function swapExactTokensForTokensSupportingFeeOnTransferTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) {
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
+ );
+ uint256 balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
+ _swapSupportingFeeOnTransferTokens(path, to);
+ require(
+ IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
+ "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT"
+ );
+ }
+
+ function swapExactETHForTokensSupportingFeeOnTransferTokens(
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external payable virtual override ensure(deadline) {
+ require(path[0] == WETH, "UniswapV2Router: INVALID_PATH");
+ uint256 amountIn = msg.value;
+ IWETH(WETH).deposit{value: amountIn}();
+ assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn));
+ uint256 balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
+ _swapSupportingFeeOnTransferTokens(path, to);
+ require(
+ IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
+ "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT"
+ );
+ }
+
+ function swapExactTokensForETHSupportingFeeOnTransferTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external virtual override ensure(deadline) {
+ require(path[path.length - 1] == WETH, "UniswapV2Router: INVALID_PATH");
+ TransferHelper.safeTransferFrom(
+ path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
+ );
+ _swapSupportingFeeOnTransferTokens(path, address(this));
+ uint256 amountOut = IERC20(WETH).balanceOf(address(this));
+ require(amountOut >= amountOutMin, "UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT");
+ IWETH(WETH).withdraw(amountOut);
+ TransferHelper.safeTransferETH(to, amountOut);
+ }
+
+ // **** LIBRARY FUNCTIONS ****
+ function quote(uint256 amountA, uint256 reserveA, uint256 reserveB)
+ public
+ pure
+ virtual
+ override
+ returns (uint256 amountB)
+ {
+ return UniswapV2Library.quote(amountA, reserveA, reserveB);
+ }
+
+ function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
+ public
+ pure
+ virtual
+ override
+ returns (uint256 amountOut)
+ {
+ return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
+ }
+
+ function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
+ public
+ pure
+ virtual
+ override
+ returns (uint256 amountIn)
+ {
+ return UniswapV2Library.getAmountIn(amountOut, reserveIn, reserveOut);
+ }
+
+ function getAmountsOut(uint256 amountIn, address[] memory path)
+ public
+ view
+ virtual
+ override
+ returns (uint256[] memory amounts)
+ {
+ return UniswapV2Library.getAmountsOut(factory, amountIn, path);
+ }
+
+ function getAmountsIn(uint256 amountOut, address[] memory path)
+ public
+ view
+ virtual
+ override
+ returns (uint256[] memory amounts)
+ {
+ return UniswapV2Library.getAmountsIn(factory, amountOut, path);
+ }
+}
diff --git a/src/examples/ExampleComputeLiquidityValue.sol b/src/examples/ExampleComputeLiquidityValue.sol
new file mode 100644
index 0000000..9a7185d
--- /dev/null
+++ b/src/examples/ExampleComputeLiquidityValue.sol
@@ -0,0 +1,63 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "../libraries/UniswapV2LiquidityMathLibrary.sol";
+
+contract ExampleComputeLiquidityValue {
+ using SafeMath for uint256;
+
+ address public immutable factory;
+
+ constructor(address factory_) {
+ factory = factory_;
+ }
+
+ // see UniswapV2LiquidityMathLibrary#getReservesAfterArbitrage
+ function getReservesAfterArbitrage(address tokenA, address tokenB, uint256 truePriceTokenA, uint256 truePriceTokenB)
+ external
+ view
+ returns (uint256 reserveA, uint256 reserveB)
+ {
+ return UniswapV2LiquidityMathLibrary.getReservesAfterArbitrage(
+ factory, tokenA, tokenB, truePriceTokenA, truePriceTokenB
+ );
+ }
+
+ // see UniswapV2LiquidityMathLibrary#getLiquidityValue
+ function getLiquidityValue(address tokenA, address tokenB, uint256 liquidityAmount)
+ external
+ view
+ returns (uint256 tokenAAmount, uint256 tokenBAmount)
+ {
+ return UniswapV2LiquidityMathLibrary.getLiquidityValue(factory, tokenA, tokenB, liquidityAmount);
+ }
+
+ // see UniswapV2LiquidityMathLibrary#getLiquidityValueAfterArbitrageToPrice
+ function getLiquidityValueAfterArbitrageToPrice(
+ address tokenA,
+ address tokenB,
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB,
+ uint256 liquidityAmount
+ ) external view returns (uint256 tokenAAmount, uint256 tokenBAmount) {
+ return UniswapV2LiquidityMathLibrary.getLiquidityValueAfterArbitrageToPrice(
+ factory, tokenA, tokenB, truePriceTokenA, truePriceTokenB, liquidityAmount
+ );
+ }
+
+ // test function to measure the gas cost of the above function
+ function getGasCostOfGetLiquidityValueAfterArbitrageToPrice(
+ address tokenA,
+ address tokenB,
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB,
+ uint256 liquidityAmount
+ ) external view returns (uint256) {
+ uint256 gasBefore = gasleft();
+ UniswapV2LiquidityMathLibrary.getLiquidityValueAfterArbitrageToPrice(
+ factory, tokenA, tokenB, truePriceTokenA, truePriceTokenB, liquidityAmount
+ );
+ uint256 gasAfter = gasleft();
+ return gasBefore - gasAfter;
+ }
+}
diff --git a/src/examples/ExampleFlashSwap.sol b/src/examples/ExampleFlashSwap.sol
new file mode 100644
index 0000000..f46cfae
--- /dev/null
+++ b/src/examples/ExampleFlashSwap.sol
@@ -0,0 +1,69 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Callee.sol";
+
+import "../libraries/UniswapV2Library.sol";
+import "../interfaces/V1/IUniswapV1Factory.sol";
+import "../interfaces/V1/IUniswapV1Exchange.sol";
+import "../interfaces/IUniswapV2Router01.sol";
+import "../interfaces/IERC20.sol";
+import "../interfaces/IWETH.sol";
+
+contract ExampleFlashSwap is IUniswapV2Callee {
+ IUniswapV1Factory immutable factoryV1;
+ address immutable factory;
+ IWETH immutable WETH;
+
+ constructor(address _factory, address _factoryV1, address router) {
+ factoryV1 = IUniswapV1Factory(_factoryV1);
+ factory = _factory;
+ WETH = IWETH(IUniswapV2Router01(router).WETH());
+ }
+
+ // needs to accept ETH from any V1 exchange and WETH. ideally this could be enforced, as in the router,
+ // but it's not possible because it requires a call to the v1 factory, which takes too much gas
+ receive() external payable {}
+
+ // gets tokens/WETH via a V2 flash swap, swaps for the ETH/tokens on V1, repays V2, and keeps the rest!
+ function uniswapV2Call(address sender, uint256 amount0, uint256 amount1, bytes calldata data) external override {
+ address[] memory path = new address[](2);
+ uint256 amountToken;
+ uint256 amountETH;
+ {
+ // scope for token{0,1}, avoids stack too deep errors
+ address token0 = IUniswapV2Pair(msg.sender).token0();
+ address token1 = IUniswapV2Pair(msg.sender).token1();
+ assert(msg.sender == UniswapV2Library.pairFor(factory, token0, token1)); // ensure that msg.sender is actually a V2 pair
+ assert(amount0 == 0 || amount1 == 0); // this strategy is unidirectional
+ path[0] = amount0 == 0 ? token0 : token1;
+ path[1] = amount0 == 0 ? token1 : token0;
+ amountToken = token0 == address(WETH) ? amount1 : amount0;
+ amountETH = token0 == address(WETH) ? amount0 : amount1;
+ }
+
+ assert(path[0] == address(WETH) || path[1] == address(WETH)); // this strategy only works with a V2 WETH pair
+ IERC20 token = IERC20(path[0] == address(WETH) ? path[1] : path[0]);
+ IUniswapV1Exchange exchangeV1 = IUniswapV1Exchange(factoryV1.getExchange(address(token))); // get V1 exchange
+
+ if (amountToken > 0) {
+ (uint256 minETH) = abi.decode(data, (uint256)); // slippage parameter for V1, passed in by caller
+ token.approve(address(exchangeV1), amountToken);
+ uint256 amountReceived = exchangeV1.tokenToEthSwapInput(amountToken, minETH, type(uint256).max);
+ uint256 amountRequired = UniswapV2Library.getAmountsIn(factory, amountToken, path)[0];
+ assert(amountReceived > amountRequired); // fail if we didn't get enough ETH back to repay our flash loan
+ WETH.deposit{value: amountRequired}();
+ assert(WETH.transfer(msg.sender, amountRequired)); // return WETH to V2 pair
+ (bool success,) = sender.call{value: amountReceived - amountRequired}(new bytes(0)); // keep the rest! (ETH)
+ assert(success);
+ } else {
+ (uint256 minTokens) = abi.decode(data, (uint256)); // slippage parameter for V1, passed in by caller
+ WETH.withdraw(amountETH);
+ uint256 amountReceived = exchangeV1.ethToTokenSwapInput{value: amountETH}(minTokens, type(uint256).max);
+ uint256 amountRequired = UniswapV2Library.getAmountsIn(factory, amountETH, path)[0];
+ assert(amountReceived > amountRequired); // fail if we didn't get enough tokens back to repay our flash loan
+ assert(token.transfer(msg.sender, amountRequired)); // return tokens to V2 pair
+ assert(token.transfer(sender, amountReceived - amountRequired)); // keep the rest! (tokens)
+ }
+ }
+}
diff --git a/src/examples/ExampleOracleSimple.sol b/src/examples/ExampleOracleSimple.sol
new file mode 100644
index 0000000..8fe7f7d
--- /dev/null
+++ b/src/examples/ExampleOracleSimple.sol
@@ -0,0 +1,68 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+import "@uniswap/lib/contracts/libraries/FixedPoint.sol";
+
+import "../libraries/UniswapV2OracleLibrary.sol";
+import "../libraries/UniswapV2Library.sol";
+
+// fixed window oracle that recomputes the average price for the entire period once every period
+// note that the price average is only guaranteed to be over at least 1 period, but may be over a longer period
+contract ExampleOracleSimple {
+ using FixedPoint for *;
+
+ uint256 public constant PERIOD = 24 hours;
+
+ IUniswapV2Pair immutable pair;
+ address public immutable token0;
+ address public immutable token1;
+
+ uint256 public price0CumulativeLast;
+ uint256 public price1CumulativeLast;
+ uint32 public blockTimestampLast;
+ FixedPoint.uq112x112 public price0Average;
+ FixedPoint.uq112x112 public price1Average;
+
+ constructor(address factory, address tokenA, address tokenB) {
+ IUniswapV2Pair _pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, tokenA, tokenB));
+ pair = _pair;
+ token0 = _pair.token0();
+ token1 = _pair.token1();
+ price0CumulativeLast = _pair.price0CumulativeLast(); // fetch the current accumulated price value (1 / 0)
+ price1CumulativeLast = _pair.price1CumulativeLast(); // fetch the current accumulated price value (0 / 1)
+ uint112 reserve0;
+ uint112 reserve1;
+ (reserve0, reserve1, blockTimestampLast) = _pair.getReserves();
+ require(reserve0 != 0 && reserve1 != 0, "ExampleOracleSimple: NO_RESERVES"); // ensure that there's liquidity in the pair
+ }
+
+ function update() external {
+ (uint256 price0Cumulative, uint256 price1Cumulative, uint32 blockTimestamp) =
+ UniswapV2OracleLibrary.currentCumulativePrices(address(pair));
+ uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
+
+ // ensure that at least one full period has passed since the last update
+ require(timeElapsed >= PERIOD, "ExampleOracleSimple: PERIOD_NOT_ELAPSED");
+
+ // overflow is desired, casting never truncates
+ // cumulative price is in (uq112x112 price * seconds) units so we simply wrap it after division by time elapsed
+ price0Average = FixedPoint.uq112x112(uint224((price0Cumulative - price0CumulativeLast) / timeElapsed));
+ price1Average = FixedPoint.uq112x112(uint224((price1Cumulative - price1CumulativeLast) / timeElapsed));
+
+ price0CumulativeLast = price0Cumulative;
+ price1CumulativeLast = price1Cumulative;
+ blockTimestampLast = blockTimestamp;
+ }
+
+ // note this will always return 0 before update has been called successfully for the first time.
+ function consult(address token, uint256 amountIn) external view returns (uint256 amountOut) {
+ if (token == token0) {
+ amountOut = price0Average.mul(amountIn).decode144();
+ } else {
+ require(token == token1, "ExampleOracleSimple: INVALID_TOKEN");
+ amountOut = price1Average.mul(amountIn).decode144();
+ }
+ }
+}
diff --git a/src/examples/ExampleSlidingWindowOracle.sol b/src/examples/ExampleSlidingWindowOracle.sol
new file mode 100644
index 0000000..32449d0
--- /dev/null
+++ b/src/examples/ExampleSlidingWindowOracle.sol
@@ -0,0 +1,127 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+import "@uniswap/lib/contracts/libraries/FixedPoint.sol";
+
+import "../libraries/SafeMath.sol";
+import "../libraries/UniswapV2Library.sol";
+import "../libraries/UniswapV2OracleLibrary.sol";
+
+// sliding window oracle that uses observations collected over a window to provide moving price averages in the past
+// `windowSize` with a precision of `windowSize / granularity`
+// note this is a singleton oracle and only needs to be deployed once per desired parameters, which
+// differs from the simple oracle which must be deployed once per pair.
+contract ExampleSlidingWindowOracle {
+ using FixedPoint for *;
+ using SafeMath for uint256;
+
+ struct Observation {
+ uint256 timestamp;
+ uint256 price0Cumulative;
+ uint256 price1Cumulative;
+ }
+
+ address public immutable factory;
+ // the desired amount of time over which the moving average should be computed, e.g. 24 hours
+ uint256 public immutable windowSize;
+ // the number of observations stored for each pair, i.e. how many price observations are stored for the window.
+ // as granularity increases from 1, more frequent updates are needed, but moving averages become more precise.
+ // averages are computed over intervals with sizes in the range:
+ // [windowSize - (windowSize / granularity) * 2, windowSize]
+ // e.g. if the window size is 24 hours, and the granularity is 24, the oracle will return the average price for
+ // the period:
+ // [now - [22 hours, 24 hours], now]
+ uint8 public immutable granularity;
+ // this is redundant with granularity and windowSize, but stored for gas savings & informational purposes.
+ uint256 public immutable periodSize;
+
+ // mapping from pair address to a list of price observations of that pair
+ mapping(address => Observation[]) public pairObservations;
+
+ constructor(address factory_, uint256 windowSize_, uint8 granularity_) {
+ require(granularity_ > 1, "SlidingWindowOracle: GRANULARITY");
+ require(
+ (periodSize = windowSize_ / granularity_) * granularity_ == windowSize_,
+ "SlidingWindowOracle: WINDOW_NOT_EVENLY_DIVISIBLE"
+ );
+ factory = factory_;
+ windowSize = windowSize_;
+ granularity = granularity_;
+ }
+
+ // returns the index of the observation corresponding to the given timestamp
+ function observationIndexOf(uint256 timestamp) public view returns (uint8 index) {
+ uint256 epochPeriod = timestamp / periodSize;
+ return uint8(epochPeriod % granularity);
+ }
+
+ // returns the observation from the oldest epoch (at the beginning of the window) relative to the current time
+ function getFirstObservationInWindow(address pair) private view returns (Observation storage firstObservation) {
+ uint8 observationIndex = observationIndexOf(block.timestamp);
+ // no overflow issue. if observationIndex + 1 overflows, result is still zero.
+ uint8 firstObservationIndex = (observationIndex + 1) % granularity;
+ firstObservation = pairObservations[pair][firstObservationIndex];
+ }
+
+ // update the cumulative price for the observation at the current timestamp. each observation is updated at most
+ // once per epoch period.
+ function update(address tokenA, address tokenB) external {
+ address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
+
+ // populate the array with empty observations (first call only)
+ for (uint256 i = pairObservations[pair].length; i < granularity; i++) {
+ pairObservations[pair].push();
+ }
+
+ // get the observation for the current period
+ uint8 observationIndex = observationIndexOf(block.timestamp);
+ Observation storage observation = pairObservations[pair][observationIndex];
+
+ // we only want to commit updates once per period (i.e. windowSize / granularity)
+ uint256 timeElapsed = block.timestamp - observation.timestamp;
+ if (timeElapsed > periodSize) {
+ (uint256 price0Cumulative, uint256 price1Cumulative,) = UniswapV2OracleLibrary.currentCumulativePrices(pair);
+ observation.timestamp = block.timestamp;
+ observation.price0Cumulative = price0Cumulative;
+ observation.price1Cumulative = price1Cumulative;
+ }
+ }
+
+ // given the cumulative prices of the start and end of a period, and the length of the period, compute the average
+ // price in terms of how much amount out is received for the amount in
+ function computeAmountOut(
+ uint256 priceCumulativeStart,
+ uint256 priceCumulativeEnd,
+ uint256 timeElapsed,
+ uint256 amountIn
+ ) private pure returns (uint256 amountOut) {
+ // overflow is desired.
+ FixedPoint.uq112x112 memory priceAverage =
+ FixedPoint.uq112x112(uint224((priceCumulativeEnd - priceCumulativeStart) / timeElapsed));
+ amountOut = priceAverage.mul(amountIn).decode144();
+ }
+
+ // returns the amount out corresponding to the amount in for a given token using the moving average over the time
+ // range [now - [windowSize, windowSize - periodSize * 2], now]
+ // update must have been called for the bucket corresponding to timestamp `now - windowSize`
+ function consult(address tokenIn, uint256 amountIn, address tokenOut) external view returns (uint256 amountOut) {
+ address pair = UniswapV2Library.pairFor(factory, tokenIn, tokenOut);
+ Observation storage firstObservation = getFirstObservationInWindow(pair);
+
+ uint256 timeElapsed = block.timestamp - firstObservation.timestamp;
+ require(timeElapsed <= windowSize, "SlidingWindowOracle: MISSING_HISTORICAL_OBSERVATION");
+ // should never happen.
+ require(timeElapsed >= windowSize - periodSize * 2, "SlidingWindowOracle: UNEXPECTED_TIME_ELAPSED");
+
+ (uint256 price0Cumulative, uint256 price1Cumulative,) = UniswapV2OracleLibrary.currentCumulativePrices(pair);
+ (address token0,) = UniswapV2Library.sortTokens(tokenIn, tokenOut);
+
+ if (token0 == tokenIn) {
+ return computeAmountOut(firstObservation.price0Cumulative, price0Cumulative, timeElapsed, amountIn);
+ } else {
+ return computeAmountOut(firstObservation.price1Cumulative, price1Cumulative, timeElapsed, amountIn);
+ }
+ }
+}
diff --git a/src/examples/ExampleSwapToPrice.sol b/src/examples/ExampleSwapToPrice.sol
new file mode 100644
index 0000000..674721d
--- /dev/null
+++ b/src/examples/ExampleSwapToPrice.sol
@@ -0,0 +1,77 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+import "@uniswap/lib/contracts/libraries/Babylonian.sol";
+import "@uniswap/lib/contracts/libraries/TransferHelper.sol";
+
+import "../libraries/UniswapV2LiquidityMathLibrary.sol";
+import "../interfaces/IERC20.sol";
+import "../interfaces/IUniswapV2Router01.sol";
+import "../libraries/SafeMath.sol";
+import "../libraries/UniswapV2Library.sol";
+
+contract ExampleSwapToPrice {
+ using SafeMath for uint256;
+
+ IUniswapV2Router01 public immutable router;
+ address public immutable factory;
+
+ constructor(address factory_, IUniswapV2Router01 router_) {
+ factory = factory_;
+ router = router_;
+ }
+
+ // swaps an amount of either token such that the trade is profit-maximizing, given an external true price
+ // true price is expressed in the ratio of token A to token B
+ // caller must approve this contract to spend whichever token is intended to be swapped
+ function swapToPrice(
+ address tokenA,
+ address tokenB,
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB,
+ uint256 maxSpendTokenA,
+ uint256 maxSpendTokenB,
+ address to,
+ uint256 deadline
+ ) public {
+ // true price is expressed as a ratio, so both values must be non-zero
+ require(truePriceTokenA != 0 && truePriceTokenB != 0, "ExampleSwapToPrice: ZERO_PRICE");
+ // caller can specify 0 for either if they wish to swap in only one direction, but not both
+ require(maxSpendTokenA != 0 || maxSpendTokenB != 0, "ExampleSwapToPrice: ZERO_SPEND");
+
+ bool aToB;
+ uint256 amountIn;
+ {
+ (uint256 reserveA, uint256 reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
+ (aToB, amountIn) = UniswapV2LiquidityMathLibrary.computeProfitMaximizingTrade(
+ truePriceTokenA, truePriceTokenB, reserveA, reserveB
+ );
+ }
+
+ require(amountIn > 0, "ExampleSwapToPrice: ZERO_AMOUNT_IN");
+
+ // spend up to the allowance of the token in
+ uint256 maxSpend = aToB ? maxSpendTokenA : maxSpendTokenB;
+ if (amountIn > maxSpend) {
+ amountIn = maxSpend;
+ }
+
+ address tokenIn = aToB ? tokenA : tokenB;
+ address tokenOut = aToB ? tokenB : tokenA;
+ TransferHelper.safeTransferFrom(tokenIn, msg.sender, address(this), amountIn);
+ TransferHelper.safeApprove(tokenIn, address(router), amountIn);
+
+ address[] memory path = new address[](2);
+ path[0] = tokenIn;
+ path[1] = tokenOut;
+
+ router.swapExactTokensForTokens(
+ amountIn,
+ 0, // amountOutMin: we can skip computing this number because the math is tested
+ path,
+ to,
+ deadline
+ );
+ }
+}
diff --git a/src/examples/README.md b/src/examples/README.md
new file mode 100644
index 0000000..49fa2af
--- /dev/null
+++ b/src/examples/README.md
@@ -0,0 +1,14 @@
+# Examples
+
+## Disclaimer
+
+These contracts are for demonstrative purposes only.
+While these contracts have unit tests, and we generally expect them to be
+correct, there are no guarantees about the correctness or security of
+these contracts. We hold these contracts to a different standard of
+correctness and security than other contracts in this repository.
+E.g., we have explicitly excluded these contracts from the
+[bug bounty](https://uniswap.org/bug-bounty/#scope).
+
+You must do your own due diligence if you wish to use code
+from these examples in your project.
diff --git a/src/interfaces/IERC20.sol b/src/interfaces/IERC20.sol
new file mode 100644
index 0000000..6004787
--- /dev/null
+++ b/src/interfaces/IERC20.sol
@@ -0,0 +1,18 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IERC20 {
+ event Approval(address indexed owner, address indexed spender, uint256 value);
+ event Transfer(address indexed from, address indexed to, uint256 value);
+
+ function name() external view returns (string memory);
+ function symbol() external view returns (string memory);
+ function decimals() external view returns (uint8);
+ function totalSupply() external view returns (uint256);
+ function balanceOf(address owner) external view returns (uint256);
+ function allowance(address owner, address spender) external view returns (uint256);
+
+ function approve(address spender, uint256 value) external returns (bool);
+ function transfer(address to, uint256 value) external returns (bool);
+ function transferFrom(address from, address to, uint256 value) external returns (bool);
+}
diff --git a/src/interfaces/IUniswapV2Migrator.sol b/src/interfaces/IUniswapV2Migrator.sol
new file mode 100644
index 0000000..b306f08
--- /dev/null
+++ b/src/interfaces/IUniswapV2Migrator.sol
@@ -0,0 +1,7 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IUniswapV2Migrator {
+ function migrate(address token, uint256 amountTokenMin, uint256 amountETHMin, address to, uint256 deadline)
+ external;
+}
diff --git a/src/interfaces/IUniswapV2Router01.sol b/src/interfaces/IUniswapV2Router01.sol
new file mode 100644
index 0000000..d8852ca
--- /dev/null
+++ b/src/interfaces/IUniswapV2Router01.sol
@@ -0,0 +1,122 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IUniswapV2Router01 {
+ function factory() external returns (address);
+ function WETH() external returns (address);
+
+ function addLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 amountADesired,
+ uint256 amountBDesired,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) external returns (uint256 amountA, uint256 amountB, uint256 liquidity);
+ function addLiquidityETH(
+ address token,
+ uint256 amountTokenDesired,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) external payable returns (uint256 amountToken, uint256 amountETH, uint256 liquidity);
+ function removeLiquidity(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline
+ ) external returns (uint256 amountA, uint256 amountB);
+ function removeLiquidityETH(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) external returns (uint256 amountToken, uint256 amountETH);
+ function removeLiquidityWithPermit(
+ address tokenA,
+ address tokenB,
+ uint256 liquidity,
+ uint256 amountAMin,
+ uint256 amountBMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external returns (uint256 amountA, uint256 amountB);
+ function removeLiquidityETHWithPermit(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external returns (uint256 amountToken, uint256 amountETH);
+ function swapExactTokensForTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external returns (uint256[] memory amounts);
+ function swapTokensForExactTokens(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external returns (uint256[] memory amounts);
+ function swapExactETHForTokens(uint256 amountOutMin, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ returns (uint256[] memory amounts);
+ function swapTokensForExactETH(
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external returns (uint256[] memory amounts);
+ function swapExactTokensForETH(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external returns (uint256[] memory amounts);
+ function swapETHForExactTokens(uint256 amountOut, address[] calldata path, address to, uint256 deadline)
+ external
+ payable
+ returns (uint256[] memory amounts);
+
+ function quote(uint256 amountA, uint256 reserveA, uint256 reserveB) external pure returns (uint256 amountB);
+ function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
+ external
+ pure
+ returns (uint256 amountOut);
+ function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
+ external
+ pure
+ returns (uint256 amountIn);
+ function getAmountsOut(uint256 amountIn, address[] calldata path)
+ external
+ view
+ returns (uint256[] memory amounts);
+ function getAmountsIn(uint256 amountOut, address[] calldata path)
+ external
+ view
+ returns (uint256[] memory amounts);
+}
diff --git a/src/interfaces/IUniswapV2Router02.sol b/src/interfaces/IUniswapV2Router02.sol
new file mode 100644
index 0000000..7704be3
--- /dev/null
+++ b/src/interfaces/IUniswapV2Router02.sol
@@ -0,0 +1,48 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "./IUniswapV2Router01.sol";
+
+interface IUniswapV2Router02 is IUniswapV2Router01 {
+ function removeLiquidityETHSupportingFeeOnTransferTokens(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline
+ ) external returns (uint256 amountETH);
+ function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
+ address token,
+ uint256 liquidity,
+ uint256 amountTokenMin,
+ uint256 amountETHMin,
+ address to,
+ uint256 deadline,
+ bool approveMax,
+ uint8 v,
+ bytes32 r,
+ bytes32 s
+ ) external returns (uint256 amountETH);
+
+ function swapExactTokensForTokensSupportingFeeOnTransferTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external;
+ function swapExactETHForTokensSupportingFeeOnTransferTokens(
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external payable;
+ function swapExactTokensForETHSupportingFeeOnTransferTokens(
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external;
+}
diff --git a/src/interfaces/IWETH.sol b/src/interfaces/IWETH.sol
new file mode 100644
index 0000000..eb3c2f4
--- /dev/null
+++ b/src/interfaces/IWETH.sol
@@ -0,0 +1,8 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IWETH {
+ function deposit() external payable;
+ function transfer(address to, uint256 value) external returns (bool);
+ function withdraw(uint256) external;
+}
diff --git a/src/interfaces/V1/IUniswapV1Exchange.sol b/src/interfaces/V1/IUniswapV1Exchange.sol
new file mode 100644
index 0000000..31eef43
--- /dev/null
+++ b/src/interfaces/V1/IUniswapV1Exchange.sol
@@ -0,0 +1,10 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IUniswapV1Exchange {
+ function balanceOf(address owner) external view returns (uint256);
+ function transferFrom(address from, address to, uint256 value) external returns (bool);
+ function removeLiquidity(uint256, uint256, uint256, uint256) external returns (uint256, uint256);
+ function tokenToEthSwapInput(uint256, uint256, uint256) external returns (uint256);
+ function ethToTokenSwapInput(uint256, uint256) external payable returns (uint256);
+}
diff --git a/src/interfaces/V1/IUniswapV1Factory.sol b/src/interfaces/V1/IUniswapV1Factory.sol
new file mode 100644
index 0000000..fe25eb2
--- /dev/null
+++ b/src/interfaces/V1/IUniswapV1Factory.sol
@@ -0,0 +1,6 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+interface IUniswapV1Factory {
+ function getExchange(address) external view returns (address);
+}
diff --git a/src/libraries/SafeMath.sol b/src/libraries/SafeMath.sol
new file mode 100644
index 0000000..afff7a2
--- /dev/null
+++ b/src/libraries/SafeMath.sol
@@ -0,0 +1,18 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+// a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
+
+library SafeMath {
+ function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
+ require((z = x + y) >= x, "ds-math-add-overflow");
+ }
+
+ function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
+ require((z = x - y) <= x, "ds-math-sub-underflow");
+ }
+
+ function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
+ require(y == 0 || (z = x * y) / y == x, "ds-math-mul-overflow");
+ }
+}
diff --git a/src/libraries/UniswapV2Library.sol b/src/libraries/UniswapV2Library.sol
new file mode 100644
index 0000000..ef81521
--- /dev/null
+++ b/src/libraries/UniswapV2Library.sol
@@ -0,0 +1,111 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+
+import "./SafeMath.sol";
+
+library UniswapV2Library {
+ using SafeMath for uint256;
+
+ // returns sorted token addresses, used to handle return values from pairs sorted in this order
+ function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
+ require(tokenA != tokenB, "UniswapV2Library: IDENTICAL_ADDRESSES");
+ (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
+ require(token0 != address(0), "UniswapV2Library: ZERO_ADDRESS");
+ }
+
+ // calculates the CREATE2 address for a pair without making any external calls
+ function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
+ (address token0, address token1) = sortTokens(tokenA, tokenB);
+ pair = address(
+ uint160(
+ uint256(
+ keccak256(
+ abi.encodePacked(
+ hex"ff",
+ factory,
+ keccak256(abi.encodePacked(token0, token1)),
+ hex"96e8ac4277198ff8b6f785478aa9a39f403cb768dd02cbee326c3e7da348845f" // init code hash
+ )
+ )
+ )
+ )
+ );
+ }
+
+ // fetches and sorts the reserves for a pair
+ function getReserves(address factory, address tokenA, address tokenB)
+ internal
+ view
+ returns (uint256 reserveA, uint256 reserveB)
+ {
+ (address token0,) = sortTokens(tokenA, tokenB);
+ (uint256 reserve0, uint256 reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
+ (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
+ }
+
+ // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
+ function quote(uint256 amountA, uint256 reserveA, uint256 reserveB) internal pure returns (uint256 amountB) {
+ require(amountA > 0, "UniswapV2Library: INSUFFICIENT_AMOUNT");
+ require(reserveA > 0 && reserveB > 0, "UniswapV2Library: INSUFFICIENT_LIQUIDITY");
+ amountB = amountA.mul(reserveB) / reserveA;
+ }
+
+ // given an input amount of an asset and pair reserves, returns the maximum output amount of the other asset
+ function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
+ internal
+ pure
+ returns (uint256 amountOut)
+ {
+ require(amountIn > 0, "UniswapV2Library: INSUFFICIENT_INPUT_AMOUNT");
+ require(reserveIn > 0 && reserveOut > 0, "UniswapV2Library: INSUFFICIENT_LIQUIDITY");
+ uint256 amountInWithFee = amountIn.mul(997);
+ uint256 numerator = amountInWithFee.mul(reserveOut);
+ uint256 denominator = reserveIn.mul(1000).add(amountInWithFee);
+ amountOut = numerator / denominator;
+ }
+
+ // given an output amount of an asset and pair reserves, returns a required input amount of the other asset
+ function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
+ internal
+ pure
+ returns (uint256 amountIn)
+ {
+ require(amountOut > 0, "UniswapV2Library: INSUFFICIENT_OUTPUT_AMOUNT");
+ require(reserveIn > 0 && reserveOut > 0, "UniswapV2Library: INSUFFICIENT_LIQUIDITY");
+ uint256 numerator = reserveIn.mul(amountOut).mul(1000);
+ uint256 denominator = reserveOut.sub(amountOut).mul(997);
+ amountIn = (numerator / denominator).add(1);
+ }
+
+ // performs chained getAmountOut calculations on any number of pairs
+ function getAmountsOut(address factory, uint256 amountIn, address[] memory path)
+ internal
+ view
+ returns (uint256[] memory amounts)
+ {
+ require(path.length >= 2, "UniswapV2Library: INVALID_PATH");
+ amounts = new uint256[](path.length);
+ amounts[0] = amountIn;
+ for (uint256 i; i < path.length - 1; i++) {
+ (uint256 reserveIn, uint256 reserveOut) = getReserves(factory, path[i], path[i + 1]);
+ amounts[i + 1] = getAmountOut(amounts[i], reserveIn, reserveOut);
+ }
+ }
+
+ // performs chained getAmountIn calculations on any number of pairs
+ function getAmountsIn(address factory, uint256 amountOut, address[] memory path)
+ internal
+ view
+ returns (uint256[] memory amounts)
+ {
+ require(path.length >= 2, "UniswapV2Library: INVALID_PATH");
+ amounts = new uint256[](path.length);
+ amounts[amounts.length - 1] = amountOut;
+ for (uint256 i = path.length - 1; i > 0; i--) {
+ (uint256 reserveIn, uint256 reserveOut) = getReserves(factory, path[i - 1], path[i]);
+ amounts[i - 1] = getAmountIn(amounts[i], reserveIn, reserveOut);
+ }
+ }
+}
diff --git a/src/libraries/UniswapV2LiquidityMathLibrary.sol b/src/libraries/UniswapV2LiquidityMathLibrary.sol
new file mode 100644
index 0000000..816f688
--- /dev/null
+++ b/src/libraries/UniswapV2LiquidityMathLibrary.sol
@@ -0,0 +1,138 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
+import "@uniswap/lib/contracts/libraries/Babylonian.sol";
+import "@uniswap/lib/contracts/libraries/FullMath.sol";
+
+import "./SafeMath.sol";
+import "./UniswapV2Library.sol";
+
+// library containing some math for dealing with the liquidity shares of a pair, e.g. computing their exact value
+// in terms of the underlying tokens
+library UniswapV2LiquidityMathLibrary {
+ using SafeMath for uint256;
+
+ // computes the direction and magnitude of the profit-maximizing trade
+ function computeProfitMaximizingTrade(
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB,
+ uint256 reserveA,
+ uint256 reserveB
+ ) internal pure returns (bool aToB, uint256 amountIn) {
+ aToB = FullMath.mulDiv(reserveA, truePriceTokenB, reserveB) < truePriceTokenA;
+
+ uint256 invariant = reserveA.mul(reserveB);
+
+ uint256 leftSide = Babylonian.sqrt(
+ FullMath.mulDiv(
+ invariant.mul(1000),
+ aToB ? truePriceTokenA : truePriceTokenB,
+ (aToB ? truePriceTokenB : truePriceTokenA).mul(997)
+ )
+ );
+ uint256 rightSide = (aToB ? reserveA.mul(1000) : reserveB.mul(1000)) / 997;
+
+ if (leftSide < rightSide) return (false, 0);
+
+ // compute the amount that must be sent to move the price to the profit-maximizing price
+ amountIn = leftSide.sub(rightSide);
+ }
+
+ // gets the reserves after an arbitrage moves the price to the profit-maximizing ratio given an externally observed true price
+ function getReservesAfterArbitrage(
+ address factory,
+ address tokenA,
+ address tokenB,
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB
+ ) internal view returns (uint256 reserveA, uint256 reserveB) {
+ // first get reserves before the swap
+ (reserveA, reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
+
+ require(reserveA > 0 && reserveB > 0, "UniswapV2ArbitrageLibrary: ZERO_PAIR_RESERVES");
+
+ // then compute how much to swap to arb to the true price
+ (bool aToB, uint256 amountIn) =
+ computeProfitMaximizingTrade(truePriceTokenA, truePriceTokenB, reserveA, reserveB);
+
+ if (amountIn == 0) {
+ return (reserveA, reserveB);
+ }
+
+ // now affect the trade to the reserves
+ if (aToB) {
+ uint256 amountOut = UniswapV2Library.getAmountOut(amountIn, reserveA, reserveB);
+ reserveA += amountIn;
+ reserveB -= amountOut;
+ } else {
+ uint256 amountOut = UniswapV2Library.getAmountOut(amountIn, reserveB, reserveA);
+ reserveB += amountIn;
+ reserveA -= amountOut;
+ }
+ }
+
+ // computes liquidity value given all the parameters of the pair
+ function computeLiquidityValue(
+ uint256 reservesA,
+ uint256 reservesB,
+ uint256 totalSupply,
+ uint256 liquidityAmount,
+ bool feeOn,
+ uint256 kLast
+ ) internal pure returns (uint256 tokenAAmount, uint256 tokenBAmount) {
+ if (feeOn && kLast > 0) {
+ uint256 rootK = Babylonian.sqrt(reservesA.mul(reservesB));
+ uint256 rootKLast = Babylonian.sqrt(kLast);
+ if (rootK > rootKLast) {
+ uint256 numerator1 = totalSupply;
+ uint256 numerator2 = rootK.sub(rootKLast);
+ uint256 denominator = rootK.mul(5).add(rootKLast);
+ uint256 feeLiquidity = FullMath.mulDiv(numerator1, numerator2, denominator);
+ totalSupply = totalSupply.add(feeLiquidity);
+ }
+ }
+ return (reservesA.mul(liquidityAmount) / totalSupply, reservesB.mul(liquidityAmount) / totalSupply);
+ }
+
+ // get all current parameters from the pair and compute value of a liquidity amount
+ // **note this is subject to manipulation, e.g. sandwich attacks**. prefer passing a manipulation resistant price to
+ // #getLiquidityValueAfterArbitrageToPrice
+ function getLiquidityValue(address factory, address tokenA, address tokenB, uint256 liquidityAmount)
+ internal
+ view
+ returns (uint256 tokenAAmount, uint256 tokenBAmount)
+ {
+ (uint256 reservesA, uint256 reservesB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
+ IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, tokenA, tokenB));
+ bool feeOn = IUniswapV2Factory(factory).feeTo() != address(0);
+ uint256 kLast = feeOn ? pair.kLast() : 0;
+ uint256 totalSupply = pair.totalSupply();
+ return computeLiquidityValue(reservesA, reservesB, totalSupply, liquidityAmount, feeOn, kLast);
+ }
+
+ // given two tokens, tokenA and tokenB, and their "true price", i.e. the observed ratio of value of token A to token B,
+ // and a liquidity amount, returns the value of the liquidity in terms of tokenA and tokenB
+ function getLiquidityValueAfterArbitrageToPrice(
+ address factory,
+ address tokenA,
+ address tokenB,
+ uint256 truePriceTokenA,
+ uint256 truePriceTokenB,
+ uint256 liquidityAmount
+ ) internal view returns (uint256 tokenAAmount, uint256 tokenBAmount) {
+ bool feeOn = IUniswapV2Factory(factory).feeTo() != address(0);
+ IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, tokenA, tokenB));
+ uint256 kLast = feeOn ? pair.kLast() : 0;
+ uint256 totalSupply = pair.totalSupply();
+
+ // this also checks that totalSupply > 0
+ require(totalSupply >= liquidityAmount && liquidityAmount > 0, "ComputeLiquidityValue: LIQUIDITY_AMOUNT");
+
+ (uint256 reservesA, uint256 reservesB) =
+ getReservesAfterArbitrage(factory, tokenA, tokenB, truePriceTokenA, truePriceTokenB);
+
+ return computeLiquidityValue(reservesA, reservesB, totalSupply, liquidityAmount, feeOn, kLast);
+ }
+}
diff --git a/src/libraries/UniswapV2OracleLibrary.sol b/src/libraries/UniswapV2OracleLibrary.sol
new file mode 100644
index 0000000..0eaf717
--- /dev/null
+++ b/src/libraries/UniswapV2OracleLibrary.sol
@@ -0,0 +1,38 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol";
+import "@uniswap/lib/contracts/libraries/FixedPoint.sol";
+
+// library with helper methods for oracles that are concerned with computing average prices
+library UniswapV2OracleLibrary {
+ using FixedPoint for *;
+
+ // helper function that returns the current block timestamp within the range of uint32, i.e. [0, 2**32 - 1]
+ function currentBlockTimestamp() internal view returns (uint32) {
+ return uint32(block.timestamp % 2 ** 32);
+ }
+
+ // produces the cumulative price using counterfactuals to save gas and avoid a call to sync.
+ function currentCumulativePrices(address pair)
+ internal
+ view
+ returns (uint256 price0Cumulative, uint256 price1Cumulative, uint32 blockTimestamp)
+ {
+ blockTimestamp = currentBlockTimestamp();
+ price0Cumulative = IUniswapV2Pair(pair).price0CumulativeLast();
+ price1Cumulative = IUniswapV2Pair(pair).price1CumulativeLast();
+
+ // if time has elapsed since the last update on the pair, mock the accumulated price values
+ (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast) = IUniswapV2Pair(pair).getReserves();
+ if (blockTimestampLast != blockTimestamp) {
+ // subtraction overflow is desired
+ uint32 timeElapsed = blockTimestamp - blockTimestampLast;
+ // addition overflow is desired
+ // counterfactual
+ price0Cumulative += uint256(FixedPoint.fraction(reserve1, reserve0)._x) * timeElapsed;
+ // counterfactual
+ price1Cumulative += uint256(FixedPoint.fraction(reserve0, reserve1)._x) * timeElapsed;
+ }
+ }
+}
diff --git a/src/test/DeflatingERC20.sol b/src/test/DeflatingERC20.sol
new file mode 100644
index 0000000..36cf280
--- /dev/null
+++ b/src/test/DeflatingERC20.sol
@@ -0,0 +1,100 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "../libraries/SafeMath.sol";
+
+contract DeflatingERC20 {
+ using SafeMath for uint256;
+
+ string public constant name = "Deflating Test Token";
+ string public constant symbol = "DTT";
+ uint8 public constant decimals = 18;
+ uint256 public totalSupply;
+ mapping(address => uint256) public balanceOf;
+ mapping(address => mapping(address => uint256)) public allowance;
+
+ bytes32 public DOMAIN_SEPARATOR;
+ // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
+ bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
+ mapping(address => uint256) public nonces;
+
+ event Approval(address indexed owner, address indexed spender, uint256 value);
+ event Transfer(address indexed from, address indexed to, uint256 value);
+
+ constructor(uint256 _totalSupply) {
+ uint256 chainId;
+ assembly {
+ chainId := chainid()
+ }
+ DOMAIN_SEPARATOR = keccak256(
+ abi.encode(
+ keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
+ keccak256(bytes(name)),
+ keccak256(bytes("1")),
+ chainId,
+ address(this)
+ )
+ );
+ _mint(msg.sender, _totalSupply);
+ }
+
+ function _mint(address to, uint256 value) internal {
+ totalSupply = totalSupply.add(value);
+ balanceOf[to] = balanceOf[to].add(value);
+ emit Transfer(address(0), to, value);
+ }
+
+ function _burn(address from, uint256 value) internal {
+ balanceOf[from] = balanceOf[from].sub(value);
+ totalSupply = totalSupply.sub(value);
+ emit Transfer(from, address(0), value);
+ }
+
+ function _approve(address owner, address spender, uint256 value) private {
+ allowance[owner][spender] = value;
+ emit Approval(owner, spender, value);
+ }
+
+ function _transfer(address from, address to, uint256 value) private {
+ uint256 burnAmount = value / 100;
+ _burn(from, burnAmount);
+ uint256 transferAmount = value.sub(burnAmount);
+ balanceOf[from] = balanceOf[from].sub(transferAmount);
+ balanceOf[to] = balanceOf[to].add(transferAmount);
+ emit Transfer(from, to, transferAmount);
+ }
+
+ function approve(address spender, uint256 value) external returns (bool) {
+ _approve(msg.sender, spender, value);
+ return true;
+ }
+
+ function transfer(address to, uint256 value) external returns (bool) {
+ _transfer(msg.sender, to, value);
+ return true;
+ }
+
+ function transferFrom(address from, address to, uint256 value) external returns (bool) {
+ if (allowance[from][msg.sender] != type(uint256).max) {
+ allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
+ }
+ _transfer(from, to, value);
+ return true;
+ }
+
+ function permit(address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s)
+ external
+ {
+ require(deadline >= block.timestamp, "EXPIRED");
+ bytes32 digest = keccak256(
+ abi.encodePacked(
+ "\x19\x01",
+ DOMAIN_SEPARATOR,
+ keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
+ )
+ );
+ address recoveredAddress = ecrecover(digest, v, r, s);
+ require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNATURE");
+ _approve(owner, spender, value);
+ }
+}
diff --git a/src/test/ERC20.sol b/src/test/ERC20.sol
new file mode 100644
index 0000000..f5bf28a
--- /dev/null
+++ b/src/test/ERC20.sol
@@ -0,0 +1,97 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "../libraries/SafeMath.sol";
+
+contract ERC20 {
+ using SafeMath for uint256;
+
+ string public constant name = "Test Token";
+ string public constant symbol = "TT";
+ uint8 public constant decimals = 18;
+ uint256 public totalSupply;
+ mapping(address => uint256) public balanceOf;
+ mapping(address => mapping(address => uint256)) public allowance;
+
+ bytes32 public DOMAIN_SEPARATOR;
+ // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
+ bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
+ mapping(address => uint256) public nonces;
+
+ event Approval(address indexed owner, address indexed spender, uint256 value);
+ event Transfer(address indexed from, address indexed to, uint256 value);
+
+ constructor(uint256 _totalSupply) {
+ uint256 chainId;
+ assembly {
+ chainId := chainid()
+ }
+ DOMAIN_SEPARATOR = keccak256(
+ abi.encode(
+ keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
+ keccak256(bytes(name)),
+ keccak256(bytes("1")),
+ chainId,
+ address(this)
+ )
+ );
+ _mint(msg.sender, _totalSupply);
+ }
+
+ function _mint(address to, uint256 value) internal {
+ totalSupply = totalSupply.add(value);
+ balanceOf[to] = balanceOf[to].add(value);
+ emit Transfer(address(0), to, value);
+ }
+
+ function _burn(address from, uint256 value) internal {
+ balanceOf[from] = balanceOf[from].sub(value);
+ totalSupply = totalSupply.sub(value);
+ emit Transfer(from, address(0), value);
+ }
+
+ function _approve(address owner, address spender, uint256 value) private {
+ allowance[owner][spender] = value;
+ emit Approval(owner, spender, value);
+ }
+
+ function _transfer(address from, address to, uint256 value) private {
+ balanceOf[from] = balanceOf[from].sub(value);
+ balanceOf[to] = balanceOf[to].add(value);
+ emit Transfer(from, to, value);
+ }
+
+ function approve(address spender, uint256 value) external returns (bool) {
+ _approve(msg.sender, spender, value);
+ return true;
+ }
+
+ function transfer(address to, uint256 value) external returns (bool) {
+ _transfer(msg.sender, to, value);
+ return true;
+ }
+
+ function transferFrom(address from, address to, uint256 value) external returns (bool) {
+ if (allowance[from][msg.sender] != type(uint256).max) {
+ allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
+ }
+ _transfer(from, to, value);
+ return true;
+ }
+
+ function permit(address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s)
+ external
+ {
+ require(deadline >= block.timestamp, "EXPIRED");
+ bytes32 digest = keccak256(
+ abi.encodePacked(
+ "\x19\x01",
+ DOMAIN_SEPARATOR,
+ keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
+ )
+ );
+ address recoveredAddress = ecrecover(digest, v, r, s);
+ require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNATURE");
+ _approve(owner, spender, value);
+ }
+}
diff --git a/src/test/RouterEventEmitter.sol b/src/test/RouterEventEmitter.sol
new file mode 100644
index 0000000..829a78d
--- /dev/null
+++ b/src/test/RouterEventEmitter.sol
@@ -0,0 +1,110 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+import "../interfaces/IUniswapV2Router01.sol";
+
+contract RouterEventEmitter {
+ event Amounts(uint256[] amounts);
+
+ receive() external payable {}
+
+ function swapExactTokensForTokens(
+ address router,
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapExactTokensForTokens.selector, amountIn, amountOutMin, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+
+ function swapTokensForExactTokens(
+ address router,
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapTokensForExactTokens.selector, amountOut, amountInMax, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+
+ function swapExactETHForTokens(
+ address router,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external payable {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapExactETHForTokens.selector, amountOutMin, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+
+ function swapTokensForExactETH(
+ address router,
+ uint256 amountOut,
+ uint256 amountInMax,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapTokensForExactETH.selector, amountOut, amountInMax, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+
+ function swapExactTokensForETH(
+ address router,
+ uint256 amountIn,
+ uint256 amountOutMin,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapExactTokensForETH.selector, amountIn, amountOutMin, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+
+ function swapETHForExactTokens(
+ address router,
+ uint256 amountOut,
+ address[] calldata path,
+ address to,
+ uint256 deadline
+ ) external payable {
+ (bool success, bytes memory returnData) = router.delegatecall(
+ abi.encodeWithSelector(
+ IUniswapV2Router01(router).swapETHForExactTokens.selector, amountOut, path, to, deadline
+ )
+ );
+ assert(success);
+ emit Amounts(abi.decode(returnData, (uint256[])));
+ }
+}
diff --git a/src/test/WETH9.sol b/src/test/WETH9.sol
new file mode 100644
index 0000000..fd7e122
--- /dev/null
+++ b/src/test/WETH9.sol
@@ -0,0 +1,754 @@
+// Copyright (C) 2015, 2016, 2017 Dapphub
+
+// This program is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+
+// This program is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License
+// along with this program. If not, see .
+
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.26;
+
+contract WETH9 {
+ string public name = "Wrapped Ether";
+ string public symbol = "WETH";
+ uint8 public decimals = 18;
+
+ event Approval(address indexed src, address indexed guy, uint256 wad);
+ event Transfer(address indexed src, address indexed dst, uint256 wad);
+ event Deposit(address indexed dst, uint256 wad);
+ event Withdrawal(address indexed src, uint256 wad);
+
+ mapping(address => uint256) public balanceOf;
+ mapping(address => mapping(address => uint256)) public allowance;
+
+ // function() public payable {
+ // deposit();
+ // }
+ function deposit() public payable {
+ balanceOf[msg.sender] += msg.value;
+ emit Deposit(msg.sender, msg.value);
+ }
+
+ function withdraw(uint256 wad) public {
+ require(balanceOf[msg.sender] >= wad, "");
+ balanceOf[msg.sender] -= wad;
+ payable(msg.sender).transfer(wad);
+ emit Withdrawal(msg.sender, wad);
+ }
+
+ function totalSupply() public view returns (uint256) {
+ return address(this).balance;
+ }
+
+ function approve(address guy, uint256 wad) public returns (bool) {
+ allowance[msg.sender][guy] = wad;
+ emit Approval(msg.sender, guy, wad);
+ return true;
+ }
+
+ function transfer(address dst, uint256 wad) public returns (bool) {
+ return transferFrom(msg.sender, dst, wad);
+ }
+
+ function transferFrom(address src, address dst, uint256 wad) public returns (bool) {
+ require(balanceOf[src] >= wad, "");
+
+ if (src != msg.sender && allowance[src][msg.sender] != type(uint256).max) {
+ require(allowance[src][msg.sender] >= wad, "");
+ allowance[src][msg.sender] -= wad;
+ }
+
+ balanceOf[src] -= wad;
+ balanceOf[dst] += wad;
+
+ emit Transfer(src, dst, wad);
+
+ return true;
+ }
+}
+
+/*
+ GNU GENERAL PUBLIC LICENSE
+ Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The GNU General Public License is a free, copyleft license for
+software and other kinds of works.
+
+ The licenses for most software and other practical works are designed
+to take away your freedom to share and change the works. By contrast,
+the GNU General Public License is intended to guarantee your freedom to
+share and change all versions of a program--to make sure it remains free
+software for all its users. We, the Free Software Foundation, use the
+GNU General Public License for most of our software; it applies also to
+any other work released this way by its authors. You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+them if you wish), that you receive source code or can get it if you
+want it, that you can change the software or use pieces of it in new
+free programs, and that you know you can do these things.
+
+ To protect your rights, we need to prevent others from denying you
+these rights or asking you to surrender the rights. Therefore, you have
+certain responsibilities if you distribute copies of the software, or if
+you modify it: responsibilities to respect the freedom of others.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must pass on to the recipients the same
+freedoms that you received. You must make sure that they, too, receive
+or can get the source code. And you must show them these terms so they
+know their rights.
+
+ Developers that use the GNU GPL protect your rights with two steps:
+(1) assert copyright on the software, and (2) offer you this License
+giving you legal permission to copy, distribute and/or modify it.
+
+ For the developers' and authors' protection, the GPL clearly explains
+that there is no warranty for this free software. For both users' and
+authors' sake, the GPL requires that modified versions be marked as
+changed, so that their problems will not be attributed erroneously to
+authors of previous versions.
+
+ Some devices are designed to deny users access to install or run
+modified versions of the software inside them, although the manufacturer
+can do so. This is fundamentally incompatible with the aim of
+protecting users' freedom to change the software. The systematic
+pattern of such abuse occurs in the area of products for individuals to
+use, which is precisely where it is most unacceptable. Therefore, we
+have designed this version of the GPL to prohibit the practice for those
+products. If such problems arise substantially in other domains, we
+stand ready to extend this provision to those domains in future versions
+of the GPL, as needed to protect the freedom of users.
+
+ Finally, every program is threatened constantly by software patents.
+States should not allow patents to restrict development and use of
+software on general-purpose computers, but in those that do, we wish to
+avoid the special danger that patents applied to a free program could
+make it effectively proprietary. To prevent this, the GPL assures that
+patents cannot be used to render the program non-free.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ TERMS AND CONDITIONS
+
+ 0. Definitions.
+
+ "This License" refers to version 3 of the GNU General Public License.
+
+ "Copyright" also means copyright-like laws that apply to other kinds of
+works, such as semiconductor masks.
+
+ "The Program" refers to any copyrightable work licensed under this
+License. Each licensee is addressed as "you". "Licensees" and
+"recipients" may be individuals or organizations.
+
+ To "modify" a work means to copy from or adapt all or part of the work
+in a fashion requiring copyright permission, other than the making of an
+exact copy. The resulting work is called a "modified version" of the
+earlier work or a work "based on" the earlier work.
+
+ A "covered work" means either the unmodified Program or a work based
+on the Program.
+
+ To "propagate" a work means to do anything with it that, without
+permission, would make you directly or secondarily liable for
+infringement under applicable copyright law, except executing it on a
+computer or modifying a private copy. Propagation includes copying,
+distribution (with or without modification), making available to the
+public, and in some countries other activities as well.
+
+ To "convey" a work means any kind of propagation that enables other
+parties to make or receive copies. Mere interaction with a user through
+a computer network, with no transfer of a copy, is not conveying.
+
+ An interactive user interface displays "Appropriate Legal Notices"
+to the extent that it includes a convenient and prominently visible
+feature that (1) displays an appropriate copyright notice, and (2)
+tells the user that there is no warranty for the work (except to the
+extent that warranties are provided), that licensees may convey the
+work under this License, and how to view a copy of this License. If
+the interface presents a list of user commands or options, such as a
+menu, a prominent item in the list meets this criterion.
+
+ 1. Source Code.
+
+ The "source code" for a work means the preferred form of the work
+for making modifications to it. "Object code" means any non-source
+form of a work.
+
+ A "Standard Interface" means an interface that either is an official
+standard defined by a recognized standards body, or, in the case of
+interfaces specified for a particular programming language, one that
+is widely used among developers working in that language.
+
+ The "System Libraries" of an executable work include anything, other
+than the work as a whole, that (a) is included in the normal form of
+packaging a Major Component, but which is not part of that Major
+Component, and (b) serves only to enable use of the work with that
+Major Component, or to implement a Standard Interface for which an
+implementation is available to the public in source code form. A
+"Major Component", in this context, means a major essential component
+(kernel, window system, and so on) of the specific operating system
+(if any) on which the executable work runs, or a compiler used to
+produce the work, or an object code interpreter used to run it.
+
+ The "Corresponding Source" for a work in object code form means all
+the source code needed to generate, install, and (for an executable
+work) run the object code and to modify the work, including scripts to
+control those activities. However, it does not include the work's
+System Libraries, or general-purpose tools or generally available free
+programs which are used unmodified in performing those activities but
+which are not part of the work. For example, Corresponding Source
+includes interface definition files associated with source files for
+the work, and the source code for shared libraries and dynamically
+linked subprograms that the work is specifically designed to require,
+such as by intimate data communication or control flow between those
+subprograms and other parts of the work.
+
+ The Corresponding Source need not include anything that users
+can regenerate automatically from other parts of the Corresponding
+Source.
+
+ The Corresponding Source for a work in source code form is that
+same work.
+
+ 2. Basic Permissions.
+
+ All rights granted under this License are granted for the term of
+copyright on the Program, and are irrevocable provided the stated
+conditions are met. This License explicitly affirms your unlimited
+permission to run the unmodified Program. The output from running a
+covered work is covered by this License only if the output, given its
+content, constitutes a covered work. This License acknowledges your
+rights of fair use or other equivalent, as provided by copyright law.
+
+ You may make, run and propagate covered works that you do not
+convey, without conditions so long as your license otherwise remains
+in force. You may convey covered works to others for the sole purpose
+of having them make modifications exclusively for you, or provide you
+with facilities for running those works, provided that you comply with
+the terms of this License in conveying all material for which you do
+not control copyright. Those thus making or running the covered works
+for you must do so exclusively on your behalf, under your direction
+and control, on terms that prohibit them from making any copies of
+your copyrighted material outside their relationship with you.
+
+ Conveying under any other circumstances is permitted solely under
+the conditions stated below. Sublicensing is not allowed; section 10
+makes it unnecessary.
+
+ 3. Protecting Users' Legal Rights From Anti-Circumvention Law.
+
+ No covered work shall be deemed part of an effective technological
+measure under any applicable law fulfilling obligations under article
+11 of the WIPO copyright treaty adopted on 20 December 1996, or
+similar laws prohibiting or restricting circumvention of such
+measures.
+
+ When you convey a covered work, you waive any legal power to forbid
+circumvention of technological measures to the extent such circumvention
+is effected by exercising rights under this License with respect to
+the covered work, and you disclaim any intention to limit operation or
+modification of the work as a means of enforcing, against the work's
+users, your or third parties' legal rights to forbid circumvention of
+technological measures.
+
+ 4. Conveying Verbatim Copies.
+
+ You may convey verbatim copies of the Program's source code as you
+receive it, in any medium, provided that you conspicuously and
+appropriately publish on each copy an appropriate copyright notice;
+keep intact all notices stating that this License and any
+non-permissive terms added in accord with section 7 apply to the code;
+keep intact all notices of the absence of any warranty; and give all
+recipients a copy of this License along with the Program.
+
+ You may charge any price or no price for each copy that you convey,
+and you may offer support or warranty protection for a fee.
+
+ 5. Conveying Modified Source Versions.
+
+ You may convey a work based on the Program, or the modifications to
+produce it from the Program, in the form of source code under the
+terms of section 4, provided that you also meet all of these conditions:
+
+ a) The work must carry prominent notices stating that you modified
+ it, and giving a relevant date.
+
+ b) The work must carry prominent notices stating that it is
+ released under this License and any conditions added under section
+ 7. This requirement modifies the requirement in section 4 to
+ "keep intact all notices".
+
+ c) You must license the entire work, as a whole, under this
+ License to anyone who comes into possession of a copy. This
+ License will therefore apply, along with any applicable section 7
+ additional terms, to the whole of the work, and all its parts,
+ regardless of how they are packaged. This License gives no
+ permission to license the work in any other way, but it does not
+ invalidate such permission if you have separately received it.
+
+ d) If the work has interactive user interfaces, each must display
+ Appropriate Legal Notices; however, if the Program has interactive
+ interfaces that do not display Appropriate Legal Notices, your
+ work need not make them do so.
+
+ A compilation of a covered work with other separate and independent
+works, which are not by their nature extensions of the covered work,
+and which are not combined with it such as to form a larger program,
+in or on a volume of a storage or distribution medium, is called an
+"aggregate" if the compilation and its resulting copyright are not
+used to limit the access or legal rights of the compilation's users
+beyond what the individual works permit. Inclusion of a covered work
+in an aggregate does not cause this License to apply to the other
+parts of the aggregate.
+
+ 6. Conveying Non-Source Forms.
+
+ You may convey a covered work in object code form under the terms
+of sections 4 and 5, provided that you also convey the
+machine-readable Corresponding Source under the terms of this License,
+in one of these ways:
+
+ a) Convey the object code in, or embodied in, a physical product
+ (including a physical distribution medium), accompanied by the
+ Corresponding Source fixed on a durable physical medium
+ customarily used for software interchange.
+
+ b) Convey the object code in, or embodied in, a physical product
+ (including a physical distribution medium), accompanied by a
+ written offer, valid for at least three years and valid for as
+ long as you offer spare parts or customer support for that product
+ model, to give anyone who possesses the object code either (1) a
+ copy of the Corresponding Source for all the software in the
+ product that is covered by this License, on a durable physical
+ medium customarily used for software interchange, for a price no
+ more than your reasonable cost of physically performing this
+ conveying of source, or (2) access to copy the
+ Corresponding Source from a network server at no charge.
+
+ c) Convey individual copies of the object code with a copy of the
+ written offer to provide the Corresponding Source. This
+ alternative is allowed only occasionally and noncommercially, and
+ only if you received the object code with such an offer, in accord
+ with subsection 6b.
+
+ d) Convey the object code by offering access from a designated
+ place (gratis or for a charge), and offer equivalent access to the
+ Corresponding Source in the same way through the same place at no
+ further charge. You need not require recipients to copy the
+ Corresponding Source along with the object code. If the place to
+ copy the object code is a network server, the Corresponding Source
+ may be on a different server (operated by you or a third party)
+ that supports equivalent copying facilities, provided you maintain
+ clear directions next to the object code saying where to find the
+ Corresponding Source. Regardless of what server hosts the
+ Corresponding Source, you remain obligated to ensure that it is
+ available for as long as needed to satisfy these requirements.
+
+ e) Convey the object code using peer-to-peer transmission, provided
+ you inform other peers where the object code and Corresponding
+ Source of the work are being offered to the general public at no
+ charge under subsection 6d.
+
+ A separable portion of the object code, whose source code is excluded
+from the Corresponding Source as a System Library, need not be
+included in conveying the object code work.
+
+ A "User Product" is either (1) a "consumer product", which means any
+tangible personal property which is normally used for personal, family,
+or household purposes, or (2) anything designed or sold for incorporation
+into a dwelling. In determining whether a product is a consumer product,
+doubtful cases shall be resolved in favor of coverage. For a particular
+product received by a particular user, "normally used" refers to a
+typical or common use of that class of product, regardless of the status
+of the particular user or of the way in which the particular user
+actually uses, or expects or is expected to use, the product. A product
+is a consumer product regardless of whether the product has substantial
+commercial, industrial or non-consumer uses, unless such uses represent
+the only significant mode of use of the product.
+
+ "Installation Information" for a User Product means any methods,
+procedures, authorization keys, or other information required to install
+and execute modified versions of a covered work in that User Product from
+a modified version of its Corresponding Source. The information must
+suffice to ensure that the continued functioning of the modified object
+code is in no case prevented or interfered with solely because
+modification has been made.
+
+ If you convey an object code work under this section in, or with, or
+specifically for use in, a User Product, and the conveying occurs as
+part of a transaction in which the right of possession and use of the
+User Product is transferred to the recipient in perpetuity or for a
+fixed term (regardless of how the transaction is characterized), the
+Corresponding Source conveyed under this section must be accompanied
+by the Installation Information. But this requirement does not apply
+if neither you nor any third party retains the ability to install
+modified object code on the User Product (for example, the work has
+been installed in ROM).
+
+ The requirement to provide Installation Information does not include a
+requirement to continue to provide support service, warranty, or updates
+for a work that has been modified or installed by the recipient, or for
+the User Product in which it has been modified or installed. Access to a
+network may be denied when the modification itself materially and
+adversely affects the operation of the network or violates the rules and
+protocols for communication across the network.
+
+ Corresponding Source conveyed, and Installation Information provided,
+in accord with this section must be in a format that is publicly
+documented (and with an implementation available to the public in
+source code form), and must require no special password or key for
+unpacking, reading or copying.
+
+ 7. Additional Terms.
+
+ "Additional permissions" are terms that supplement the terms of this
+License by making exceptions from one or more of its conditions.
+Additional permissions that are applicable to the entire Program shall
+be treated as though they were included in this License, to the extent
+that they are valid under applicable law. If additional permissions
+apply only to part of the Program, that part may be used separately
+under those permissions, but the entire Program remains governed by
+this License without regard to the additional permissions.
+
+ When you convey a copy of a covered work, you may at your option
+remove any additional permissions from that copy, or from any part of
+it. (Additional permissions may be written to require their own
+removal in certain cases when you modify the work.) You may place
+additional permissions on material, added by you to a covered work,
+for which you have or can give appropriate copyright permission.
+
+ Notwithstanding any other provision of this License, for material you
+add to a covered work, you may (if authorized by the copyright holders of
+that material) supplement the terms of this License with terms:
+
+ a) Disclaiming warranty or limiting liability differently from the
+ terms of sections 15 and 16 of this License; or
+
+ b) Requiring preservation of specified reasonable legal notices or
+ author attributions in that material or in the Appropriate Legal
+ Notices displayed by works containing it; or
+
+ c) Prohibiting misrepresentation of the origin of that material, or
+ requiring that modified versions of such material be marked in
+ reasonable ways as different from the original version; or
+
+ d) Limiting the use for publicity purposes of names of licensors or
+ authors of the material; or
+
+ e) Declining to grant rights under trademark law for use of some
+ trade names, trademarks, or service marks; or
+
+ f) Requiring indemnification of licensors and authors of that
+ material by anyone who conveys the material (or modified versions of
+ it) with contractual assumptions of liability to the recipient, for
+ any liability that these contractual assumptions directly impose on
+ those licensors and authors.
+
+ All other non-permissive additional terms are considered "further
+restrictions" within the meaning of section 10. If the Program as you
+received it, or any part of it, contains a notice stating that it is
+governed by this License along with a term that is a further
+restriction, you may remove that term. If a license document contains
+a further restriction but permits relicensing or conveying under this
+License, you may add to a covered work material governed by the terms
+of that license document, provided that the further restriction does
+not survive such relicensing or conveying.
+
+ If you add terms to a covered work in accord with this section, you
+must place, in the relevant source files, a statement of the
+additional terms that apply to those files, or a notice indicating
+where to find the applicable terms.
+
+ Additional terms, permissive or non-permissive, may be stated in the
+form of a separately written license, or stated as exceptions;
+the above requirements apply either way.
+
+ 8. Termination.
+
+ You may not propagate or modify a covered work except as expressly
+provided under this License. Any attempt otherwise to propagate or
+modify it is void, and will automatically terminate your rights under
+this License (including any patent licenses granted under the third
+paragraph of section 11).
+
+ However, if you cease all violation of this License, then your
+license from a particular copyright holder is reinstated (a)
+provisionally, unless and until the copyright holder explicitly and
+finally terminates your license, and (b) permanently, if the copyright
+holder fails to notify you of the violation by some reasonable means
+prior to 60 days after the cessation.
+
+ Moreover, your license from a particular copyright holder is
+reinstated permanently if the copyright holder notifies you of the
+violation by some reasonable means, this is the first time you have
+received notice of violation of this License (for any work) from that
+copyright holder, and you cure the violation prior to 30 days after
+your receipt of the notice.
+
+ Termination of your rights under this section does not terminate the
+licenses of parties who have received copies or rights from you under
+this License. If your rights have been terminated and not permanently
+reinstated, you do not qualify to receive new licenses for the same
+material under section 10.
+
+ 9. Acceptance Not Required for Having Copies.
+
+ You are not required to accept this License in order to receive or
+run a copy of the Program. Ancillary propagation of a covered work
+occurring solely as a consequence of using peer-to-peer transmission
+to receive a copy likewise does not require acceptance. However,
+nothing other than this License grants you permission to propagate or
+modify any covered work. These actions infringe copyright if you do
+not accept this License. Therefore, by modifying or propagating a
+covered work, you indicate your acceptance of this License to do so.
+
+ 10. Automatic Licensing of Downstream Recipients.
+
+ Each time you convey a covered work, the recipient automatically
+receives a license from the original licensors, to run, modify and
+propagate that work, subject to this License. You are not responsible
+for enforcing compliance by third parties with this License.
+
+ An "entity transaction" is a transaction transferring control of an
+organization, or substantially all assets of one, or subdividing an
+organization, or merging organizations. If propagation of a covered
+work results from an entity transaction, each party to that
+transaction who receives a copy of the work also receives whatever
+licenses to the work the party's predecessor in interest had or could
+give under the previous paragraph, plus a right to possession of the
+Corresponding Source of the work from the predecessor in interest, if
+the predecessor has it or can get it with reasonable efforts.
+
+ You may not impose any further restrictions on the exercise of the
+rights granted or affirmed under this License. For example, you may
+not impose a license fee, royalty, or other charge for exercise of
+rights granted under this License, and you may not initiate litigation
+(including a cross-claim or counterclaim in a lawsuit) alleging that
+any patent claim is infringed by making, using, selling, offering for
+sale, or importing the Program or any portion of it.
+
+ 11. Patents.
+
+ A "contributor" is a copyright holder who authorizes use under this
+License of the Program or a work on which the Program is based. The
+work thus licensed is called the contributor's "contributor version".
+
+ A contributor's "essential patent claims" are all patent claims
+owned or controlled by the contributor, whether already acquired or
+hereafter acquired, that would be infringed by some manner, permitted
+by this License, of making, using, or selling its contributor version,
+but do not include claims that would be infringed only as a
+consequence of further modification of the contributor version. For
+purposes of this definition, "control" includes the right to grant
+patent sublicenses in a manner consistent with the requirements of
+this License.
+
+ Each contributor grants you a non-exclusive, worldwide, royalty-free
+patent license under the contributor's essential patent claims, to
+make, use, sell, offer for sale, import and otherwise run, modify and
+propagate the contents of its contributor version.
+
+ In the following three paragraphs, a "patent license" is any express
+agreement or commitment, however denominated, not to enforce a patent
+(such as an express permission to practice a patent or covenant not to
+sue for patent infringement). To "grant" such a patent license to a
+party means to make such an agreement or commitment not to enforce a
+patent against the party.
+
+ If you convey a covered work, knowingly relying on a patent license,
+and the Corresponding Source of the work is not available for anyone
+to copy, free of charge and under the terms of this License, through a
+publicly available network server or other readily accessible means,
+then you must either (1) cause the Corresponding Source to be so
+available, or (2) arrange to deprive yourself of the benefit of the
+patent license for this particular work, or (3) arrange, in a manner
+consistent with the requirements of this License, to extend the patent
+license to downstream recipients. "Knowingly relying" means you have
+actual knowledge that, but for the patent license, your conveying the
+covered work in a country, or your recipient's use of the covered work
+in a country, would infringe one or more identifiable patents in that
+country that you have reason to believe are valid.
+
+ If, pursuant to or in connection with a single transaction or
+arrangement, you convey, or propagate by procuring conveyance of, a
+covered work, and grant a patent license to some of the parties
+receiving the covered work authorizing them to use, propagate, modify
+or convey a specific copy of the covered work, then the patent license
+you grant is automatically extended to all recipients of the covered
+work and works based on it.
+
+ A patent license is "discriminatory" if it does not include within
+the scope of its coverage, prohibits the exercise of, or is
+conditioned on the non-exercise of one or more of the rights that are
+specifically granted under this License. You may not convey a covered
+work if you are a party to an arrangement with a third party that is
+in the business of distributing software, under which you make payment
+to the third party based on the extent of your activity of conveying
+the work, and under which the third party grants, to any of the
+parties who would receive the covered work from you, a discriminatory
+patent license (a) in connection with copies of the covered work
+conveyed by you (or copies made from those copies), or (b) primarily
+for and in connection with specific products or compilations that
+contain the covered work, unless you entered into that arrangement,
+or that patent license was granted, prior to 28 March 2007.
+
+ Nothing in this License shall be construed as excluding or limiting
+any implied license or other defenses to infringement that may
+otherwise be available to you under applicable patent law.
+
+ 12. No Surrender of Others' Freedom.
+
+ If conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot convey a
+covered work so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you may
+not convey it at all. For example, if you agree to terms that obligate you
+to collect a royalty for further conveying from those to whom you convey
+the Program, the only way you could satisfy both those terms and this
+License would be to refrain entirely from conveying the Program.
+
+ 13. Use with the GNU Affero General Public License.
+
+ Notwithstanding any other provision of this License, you have
+permission to link or combine any covered work with a work licensed
+under version 3 of the GNU Affero General Public License into a single
+combined work, and to convey the resulting work. The terms of this
+License will continue to apply to the part which is the covered work,
+but the special requirements of the GNU Affero General Public License,
+section 13, concerning interaction through a network will apply to the
+combination as such.
+
+ 14. Revised Versions of this License.
+
+ The Free Software Foundation may publish revised and/or new versions of
+the GNU General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+ Each version is given a distinguishing version number. If the
+Program specifies that a certain numbered version of the GNU General
+Public License "or any later version" applies to it, you have the
+option of following the terms and conditions either of that numbered
+version or of any later version published by the Free Software
+Foundation. If the Program does not specify a version number of the
+GNU General Public License, you may choose any version ever published
+by the Free Software Foundation.
+
+ If the Program specifies that a proxy can decide which future
+versions of the GNU General Public License can be used, that proxy's
+public statement of acceptance of a version permanently authorizes you
+to choose that version for the Program.
+
+ Later license versions may give you additional or different
+permissions. However, no additional obligations are imposed on any
+author or copyright holder as a result of your choosing to follow a
+later version.
+
+ 15. Disclaimer of Warranty.
+
+ THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
+APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
+IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+ 16. Limitation of Liability.
+
+ IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+ 17. Interpretation of Sections 15 and 16.
+
+ If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+
+ Copyright (C)
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see .
+
+Also add information on how to contact you by electronic and paper mail.
+
+ If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+ Copyright (C)
+ This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+ You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+.
+
+ The GNU General Public License does not permit incorporating your program
+into proprietary programs. If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License. But first, please read
+.
+
+*/