zellic-audit
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// This contract is part of Zellic’s smart contract dataset, which is a collection of publicly available contract code gathered as of March 2023.
// File: larpai.sol
pragma solidity 0.7.5;
library FullMath {
function fullMul(uint256 x, uint256 y) private pure returns (uint256 l, uint256 h) {
uint256 mm = mulmod(x, y, uint256(-1));
l = x * y;
h = mm - l;
if (mm < l) h -= 1;
}
function fullDiv(
uint256 l,
uint256 h,
uint256 d
) private pure returns (uint256) {
uint256 pow2 = d & -d;
d /= pow2;
l /= pow2;
l += h * ((-pow2) / pow2 + 1);
uint256 r = 1;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
r *= 2 - d * r;
return l * r;
}
function mulDiv(
uint256 x,
uint256 y,
uint256 d
) internal pure returns (uint256) {
(uint256 l, uint256 h) = fullMul(x, y);
uint256 mm = mulmod(x, y, d);
if (mm > l) h -= 1;
l -= mm;
require(h < d, 'FullMath::mulDiv: overflow');
return fullDiv(l, h, d);
}
}
library Babylonian {
function sqrt(uint256 x) internal pure returns (uint256) {
if (x == 0) return 0;
uint256 xx = x;
uint256 r = 1;
if (xx >= 0x100000000000000000000000000000000) {
xx >>= 128;
r <<= 64;
}
if (xx >= 0x10000000000000000) {
xx >>= 64;
r <<= 32;
}
if (xx >= 0x100000000) {
xx >>= 32;
r <<= 16;
}
if (xx >= 0x10000) {
xx >>= 16;
r <<= 8;
}
if (xx >= 0x100) {
xx >>= 8;
r <<= 4;
}
if (xx >= 0x10) {
xx >>= 4;
r <<= 2;
}
if (xx >= 0x8) {
r <<= 1;
}
r = (r + x / r) >> 1;
r = (r + x / r) >> 1;
r = (r + x / r) >> 1;
r = (r + x / r) >> 1;
r = (r + x / r) >> 1;
r = (r + x / r) >> 1;
r = (r + x / r) >> 1; // Seven iterations should be enough
uint256 r1 = x / r;
return (r < r1 ? r : r1);
}
}
library BitMath {
function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
require(x > 0, 'BitMath::mostSignificantBit: zero');
if (x >= 0x100000000000000000000000000000000) {
x >>= 128;
r += 128;
}
if (x >= 0x10000000000000000) {
x >>= 64;
r += 64;
}
if (x >= 0x100000000) {
x >>= 32;
r += 32;
}
if (x >= 0x10000) {
x >>= 16;
r += 16;
}
if (x >= 0x100) {
x >>= 8;
r += 8;
}
if (x >= 0x10) {
x >>= 4;
r += 4;
}
if (x >= 0x4) {
x >>= 2;
r += 2;
}
if (x >= 0x2) r += 1;
}
}
library FixedPoint {
// range: [0, 2**112 - 1]
// resolution: 1 / 2**112
struct uq112x112 {
uint224 _x;
}
// range: [0, 2**144 - 1]
// resolution: 1 / 2**112
struct uq144x112 {
uint256 _x;
}
uint8 private constant RESOLUTION = 112;
uint256 private constant Q112 = 0x10000000000000000000000000000;
uint256 private constant Q224 = 0x100000000000000000000000000000000000000000000000000000000;
uint256 private constant LOWER_MASK = 0xffffffffffffffffffffffffffff; // decimal of UQ*x112 (lower 112 bits)
// decode a UQ112x112 into a uint112 by truncating after the radix point
function decode(uq112x112 memory self) internal pure returns (uint112) {
return uint112(self._x >> RESOLUTION);
}
// decode a uq112x112 into a uint with 18 decimals of precision
function decode112with18(uq112x112 memory self) internal pure returns (uint) {
return uint(self._x) / 5192296858534827;
}
function fraction(uint256 numerator, uint256 denominator) internal pure returns (uq112x112 memory) {
require(denominator > 0, 'FixedPoint::fraction: division by zero');
if (numerator == 0) return FixedPoint.uq112x112(0);
if (numerator <= uint144(-1)) {
uint256 result = (numerator << RESOLUTION) / denominator;
require(result <= uint224(-1), 'FixedPoint::fraction: overflow');
return uq112x112(uint224(result));
} else {
uint256 result = FullMath.mulDiv(numerator, Q112, denominator);
require(result <= uint224(-1), 'FixedPoint::fraction: overflow');
return uq112x112(uint224(result));
}
}
// square root of a UQ112x112
// lossy between 0/1 and 40 bits
function sqrt(uq112x112 memory self) internal pure returns (uq112x112 memory) {
if (self._x <= uint144(-1)) {
return uq112x112(uint224(Babylonian.sqrt(uint256(self._x) << 112)));
}
uint8 safeShiftBits = 255 - BitMath.mostSignificantBit(self._x);
safeShiftBits -= safeShiftBits % 2;
return uq112x112(uint224(Babylonian.sqrt(uint256(self._x) << safeShiftBits) << ((112 - safeShiftBits) / 2)));
}
}
library SafeMath {
function add(uint256 a, uint256 b) internal pure returns (uint256) {
uint256 c = a + b;
require(c >= a, "SafeMath: addition overflow");
return c;
}
function sub(uint256 a, uint256 b) internal pure returns (uint256) {
return sub(a, b, "SafeMath: subtraction overflow");
}
function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
require(b <= a, errorMessage);
uint256 c = a - b;
return c;
}
function mul(uint256 a, uint256 b) internal pure returns (uint256) {
if (a == 0) {
return 0;
}
uint256 c = a * b;
require(c / a == b, "SafeMath: multiplication overflow");
return c;
}
function div(uint256 a, uint256 b) internal pure returns (uint256) {
return div(a, b, "SafeMath: division by zero");
}
function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
require(b > 0, errorMessage);
uint256 c = a / b;
// assert(a == b * c + a % b); // There is no case in which this doesn't hold
return c;
}
function sqrrt(uint256 a) internal pure returns (uint c) {
if (a > 3) {
c = a;
uint b = add( div( a, 2), 1 );
while (b < c) {
c = b;
b = div( add( div( a, b ), b), 2 );
}
} else if (a != 0) {
c = 1;
}
}
}
interface IERC20 {
function decimals() external view returns (uint8);
}
interface IUniswapV2ERC20 {
function totalSupply() external view returns (uint);
}
interface IUniswapV2Pair is IUniswapV2ERC20 {
function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
function token0() external view returns ( address );
function token1() external view returns ( address );
}
interface IBondingCalculator {
function valuation( address pair_, uint amount_ ) external view returns ( uint _value );
}
contract BondingCalculator is IBondingCalculator {
using FixedPoint for *;
using SafeMath for uint;
using SafeMath for uint112;
address public immutable LAI;
constructor( address _LAI ) {
require( _LAI != address(0) );
LAI = _LAI;
}
function getKValue( address _pair ) public view returns( uint k_ ) {
uint token0 = IERC20( IUniswapV2Pair( _pair ).token0() ).decimals();
uint token1 = IERC20( IUniswapV2Pair( _pair ).token1() ).decimals();
uint decimals = token0.add( token1 ).sub( IERC20( _pair ).decimals() );
(uint reserve0, uint reserve1, ) = IUniswapV2Pair( _pair ).getReserves();
k_ = reserve0.mul(reserve1).div( 10 ** decimals );
}
function getTotalValue( address _pair ) public view returns ( uint _value ) {
_value = getKValue( _pair ).sqrrt().mul(2);
}
function valuation( address _pair, uint amount_ ) external view override returns ( uint _value ) {
uint totalValue = getTotalValue( _pair );
uint totalSupply = IUniswapV2Pair( _pair ).totalSupply();
_value = totalValue.mul( FixedPoint.fraction( amount_, totalSupply ).decode112with18() ).div( 1e18 );
}
function markdown( address _pair ) external view returns ( uint ) {
( uint reserve0, uint reserve1, ) = IUniswapV2Pair( _pair ).getReserves();
uint reserve;
if ( IUniswapV2Pair( _pair ).token0() == LAI ) {
reserve = reserve1;
} else {
reserve = reserve0;
}
return reserve.mul( 2 * ( 10 ** IERC20( LAI ).decimals() ) ).div( getTotalValue( _pair ) );
}
}