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// SPDX-License-Identifier: MIT |
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pragma solidity >=0.8.0 <0.9.0; |
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contract A { |
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uint valA; |
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function setA() public { |
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valA = 1; |
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} |
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} |
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contract B is A { |
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uint valB; |
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function setB() public { |
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valB = 1; |
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} |
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} |
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contract C is A { |
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uint valC; |
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function setC() public { |
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valC = 1; |
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} |
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} |
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contract D is B, C { |
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uint valD; |
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function setD() public { |
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valD = 1; |
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} |
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} |
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@ -0,0 +1,476 @@ |
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// Sources flattened with hardhat v2.20.0 https://hardhat.org |
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// File @openzeppelin/contracts/utils/math/Math.sol@v4.9.5 |
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// Original license: SPDX_License_Identifier: MIT |
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// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol) |
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pragma solidity ^0.8.0; |
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/** |
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* @dev Standard math utilities missing in the Solidity language. |
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*/ |
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library Math { |
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enum Rounding { |
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Down, // Toward negative infinity |
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Up, // Toward infinity |
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Zero // Toward zero |
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} |
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/** |
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* @dev Returns the largest of two numbers. |
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*/ |
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function max(uint256 a, uint256 b) internal pure returns (uint256) { |
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return a > b ? a : b; |
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} |
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/** |
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* @dev Returns the smallest of two numbers. |
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*/ |
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function min(uint256 a, uint256 b) internal pure returns (uint256) { |
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return a < b ? a : b; |
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} |
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/** |
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* @dev Returns the average of two numbers. The result is rounded towards |
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* zero. |
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*/ |
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function average(uint256 a, uint256 b) internal pure returns (uint256) { |
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// (a + b) / 2 can overflow. |
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return (a & b) + (a ^ b) / 2; |
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} |
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/** |
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* @dev Returns the ceiling of the division of two numbers. |
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* |
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* This differs from standard division with `/` in that it rounds up instead |
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* of rounding down. |
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*/ |
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function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) { |
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// (a + b - 1) / b can overflow on addition, so we distribute. |
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return a == 0 ? 0 : (a - 1) / b + 1; |
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} |
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/** |
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* @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0 |
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* @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) |
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* with further edits by Uniswap Labs also under MIT license. |
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*/ |
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function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) { |
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unchecked { |
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// 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use |
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// use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256 |
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// variables such that product = prod1 * 2^256 + prod0. |
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uint256 prod0; // Least significant 256 bits of the product |
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uint256 prod1; // Most significant 256 bits of the product |
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assembly { |
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let mm := mulmod(x, y, not(0)) |
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prod0 := mul(x, y) |
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prod1 := sub(sub(mm, prod0), lt(mm, prod0)) |
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} |
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// Handle non-overflow cases, 256 by 256 division. |
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if (prod1 == 0) { |
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// Solidity will revert if denominator == 0, unlike the div opcode on its own. |
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// The surrounding unchecked block does not change this fact. |
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// See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic. |
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return prod0 / denominator; |
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} |
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// Make sure the result is less than 2^256. Also prevents denominator == 0. |
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require(denominator > prod1, "Math: mulDiv overflow"); |
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/////////////////////////////////////////////// |
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// 512 by 256 division. |
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/////////////////////////////////////////////// |
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// Make division exact by subtracting the remainder from [prod1 prod0]. |
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uint256 remainder; |
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assembly { |
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// Compute remainder using mulmod. |
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remainder := mulmod(x, y, denominator) |
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// Subtract 256 bit number from 512 bit number. |
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prod1 := sub(prod1, gt(remainder, prod0)) |
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prod0 := sub(prod0, remainder) |
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} |
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// Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1. |
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// See https://cs.stackexchange.com/q/138556/92363. |
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// Does not overflow because the denominator cannot be zero at this stage in the function. |
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uint256 twos = denominator & (~denominator + 1); |
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assembly { |
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// Divide denominator by twos. |
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denominator := div(denominator, twos) |
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// Divide [prod1 prod0] by twos. |
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prod0 := div(prod0, twos) |
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// Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one. |
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twos := add(div(sub(0, twos), twos), 1) |
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} |
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// Shift in bits from prod1 into prod0. |
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prod0 |= prod1 * twos; |
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// Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such |
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// that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for |
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// four bits. That is, denominator * inv = 1 mod 2^4. |
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uint256 inverse = (3 * denominator) ^ 2; |
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// Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works |
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// in modular arithmetic, doubling the correct bits in each step. |
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inverse *= 2 - denominator * inverse; // inverse mod 2^8 |
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inverse *= 2 - denominator * inverse; // inverse mod 2^16 |
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inverse *= 2 - denominator * inverse; // inverse mod 2^32 |
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inverse *= 2 - denominator * inverse; // inverse mod 2^64 |
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inverse *= 2 - denominator * inverse; // inverse mod 2^128 |
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inverse *= 2 - denominator * inverse; // inverse mod 2^256 |
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// Because the division is now exact we can divide by multiplying with the modular inverse of denominator. |
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// This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is |
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// less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 |
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// is no longer required. |
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result = prod0 * inverse; |
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return result; |
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} |
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} |
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/** |
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* @notice Calculates x * y / denominator with full precision, following the selected rounding direction. |
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*/ |
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function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) { |
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uint256 result = mulDiv(x, y, denominator); |
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if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) { |
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result += 1; |
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} |
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return result; |
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} |
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/** |
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* @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down. |
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* |
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* Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11). |
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*/ |
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function sqrt(uint256 a) internal pure returns (uint256) { |
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if (a == 0) { |
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return 0; |
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} |
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// For our first guess, we get the biggest power of 2 which is smaller than the square root of the target. |
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// |
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// We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have |
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// `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`. |
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// |
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// This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)` |
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// → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))` |
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// → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)` |
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// |
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// Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit. |
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uint256 result = 1 << (log2(a) >> 1); |
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// At this point `result` is an estimation with one bit of precision. We know the true value is a uint128, |
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// since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at |
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// every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision |
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// into the expected uint128 result. |
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unchecked { |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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result = (result + a / result) >> 1; |
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return min(result, a / result); |
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} |
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} |
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/** |
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* @notice Calculates sqrt(a), following the selected rounding direction. |
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*/ |
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function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) { |
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unchecked { |
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uint256 result = sqrt(a); |
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return result + (rounding == Rounding.Up && result * result < a ? 1 : 0); |
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} |
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} |
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/** |
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* @dev Return the log in base 2, rounded down, of a positive value. |
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* Returns 0 if given 0. |
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*/ |
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function log2(uint256 value) internal pure returns (uint256) { |
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uint256 result = 0; |
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unchecked { |
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if (value >> 128 > 0) { |
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value >>= 128; |
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result += 128; |
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} |
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if (value >> 64 > 0) { |
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value >>= 64; |
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result += 64; |
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} |
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if (value >> 32 > 0) { |
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value >>= 32; |
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result += 32; |
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} |
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if (value >> 16 > 0) { |
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value >>= 16; |
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result += 16; |
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} |
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if (value >> 8 > 0) { |
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value >>= 8; |
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result += 8; |
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} |
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if (value >> 4 > 0) { |
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value >>= 4; |
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result += 4; |
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} |
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if (value >> 2 > 0) { |
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value >>= 2; |
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result += 2; |
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} |
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if (value >> 1 > 0) { |
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result += 1; |
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} |
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} |
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return result; |
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} |
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/** |
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* @dev Return the log in base 2, following the selected rounding direction, of a positive value. |
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* Returns 0 if given 0. |
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*/ |
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function log2(uint256 value, Rounding rounding) internal pure returns (uint256) { |
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unchecked { |
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uint256 result = log2(value); |
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return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0); |
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} |
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} |
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/** |
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* @dev Return the log in base 10, rounded down, of a positive value. |
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* Returns 0 if given 0. |
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*/ |
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function log10(uint256 value) internal pure returns (uint256) { |
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uint256 result = 0; |
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unchecked { |
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if (value >= 10 ** 64) { |
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value /= 10 ** 64; |
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result += 64; |
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} |
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if (value >= 10 ** 32) { |
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value /= 10 ** 32; |
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result += 32; |
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} |
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if (value >= 10 ** 16) { |
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value /= 10 ** 16; |
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result += 16; |
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} |
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if (value >= 10 ** 8) { |
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value /= 10 ** 8; |
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result += 8; |
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} |
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if (value >= 10 ** 4) { |
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value /= 10 ** 4; |
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result += 4; |
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} |
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if (value >= 10 ** 2) { |
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value /= 10 ** 2; |
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result += 2; |
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} |
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if (value >= 10 ** 1) { |
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result += 1; |
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} |
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} |
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return result; |
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} |
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/** |
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* @dev Return the log in base 10, following the selected rounding direction, of a positive value. |
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* Returns 0 if given 0. |
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*/ |
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function log10(uint256 value, Rounding rounding) internal pure returns (uint256) { |
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unchecked { |
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uint256 result = log10(value); |
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return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0); |
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} |
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} |
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/** |
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* @dev Return the log in base 256, rounded down, of a positive value. |
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* Returns 0 if given 0. |
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* |
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* Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string. |
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*/ |
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function log256(uint256 value) internal pure returns (uint256) { |
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uint256 result = 0; |
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unchecked { |
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if (value >> 128 > 0) { |
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value >>= 128; |
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result += 16; |
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} |
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if (value >> 64 > 0) { |
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value >>= 64; |
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result += 8; |
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} |
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if (value >> 32 > 0) { |
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value >>= 32; |
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result += 4; |
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} |
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if (value >> 16 > 0) { |
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value >>= 16; |
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result += 2; |
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} |
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if (value >> 8 > 0) { |
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result += 1; |
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} |
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} |
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return result; |
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} |
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/** |
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* @dev Return the log in base 256, following the selected rounding direction, of a positive value. |
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* Returns 0 if given 0. |
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*/ |
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function log256(uint256 value, Rounding rounding) internal pure returns (uint256) { |
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unchecked { |
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uint256 result = log256(value); |
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return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0); |
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} |
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} |
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} |
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// File @openzeppelin/contracts/utils/math/SignedMath.sol@v4.9.5 |
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// Original license: SPDX_License_Identifier: MIT |
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// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol) |
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pragma solidity ^0.8.0; |
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/** |
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* @dev Standard signed math utilities missing in the Solidity language. |
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*/ |
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library SignedMath { |
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/** |
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* @dev Returns the largest of two signed numbers. |
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*/ |
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function max(int256 a, int256 b) internal pure returns (int256) { |
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return a > b ? a : b; |
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} |
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/** |
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* @dev Returns the smallest of two signed numbers. |
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*/ |
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function min(int256 a, int256 b) internal pure returns (int256) { |
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return a < b ? a : b; |
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} |
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/** |
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* @dev Returns the average of two signed numbers without overflow. |
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* The result is rounded towards zero. |
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*/ |
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function average(int256 a, int256 b) internal pure returns (int256) { |
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// Formula from the book "Hacker's Delight" |
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int256 x = (a & b) + ((a ^ b) >> 1); |
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return x + (int256(uint256(x) >> 255) & (a ^ b)); |
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} |
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/** |
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* @dev Returns the absolute unsigned value of a signed value. |
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*/ |
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function abs(int256 n) internal pure returns (uint256) { |
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unchecked { |
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// must be unchecked in order to support `n = type(int256).min` |
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return uint256(n >= 0 ? n : -n); |
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} |
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} |
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} |
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// File @openzeppelin/contracts/utils/Strings.sol@v4.9.5 |
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// Original license: SPDX_License_Identifier: MIT |
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// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol) |
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pragma solidity ^0.8.0; |
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/** |
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* @dev String operations. |
||||||
|
*/ |
||||||
|
library Strings { |
||||||
|
bytes16 private constant _SYMBOLS = "0123456789abcdef"; |
||||||
|
uint8 private constant _ADDRESS_LENGTH = 20; |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Converts a `uint256` to its ASCII `string` decimal representation. |
||||||
|
*/ |
||||||
|
function toString(uint256 value) internal pure returns (string memory) { |
||||||
|
unchecked { |
||||||
|
uint256 length = Math.log10(value) + 1; |
||||||
|
string memory buffer = new string(length); |
||||||
|
uint256 ptr; |
||||||
|
/// @solidity memory-safe-assembly |
||||||
|
assembly { |
||||||
|
ptr := add(buffer, add(32, length)) |
||||||
|
} |
||||||
|
while (true) { |
||||||
|
ptr--; |
||||||
|
/// @solidity memory-safe-assembly |
||||||
|
assembly { |
||||||
|
mstore8(ptr, byte(mod(value, 10), _SYMBOLS)) |
||||||
|
} |
||||||
|
value /= 10; |
||||||
|
if (value == 0) break; |
||||||
|
} |
||||||
|
return buffer; |
||||||
|
} |
||||||
|
} |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Converts a `int256` to its ASCII `string` decimal representation. |
||||||
|
*/ |
||||||
|
function toString(int256 value) internal pure returns (string memory) { |
||||||
|
return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value)))); |
||||||
|
} |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation. |
||||||
|
*/ |
||||||
|
function toHexString(uint256 value) internal pure returns (string memory) { |
||||||
|
unchecked { |
||||||
|
return toHexString(value, Math.log256(value) + 1); |
||||||
|
} |
||||||
|
} |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length. |
||||||
|
*/ |
||||||
|
function toHexString(uint256 value, uint256 length) internal pure returns (string memory) { |
||||||
|
bytes memory buffer = new bytes(2 * length + 2); |
||||||
|
buffer[0] = "0"; |
||||||
|
buffer[1] = "x"; |
||||||
|
for (uint256 i = 2 * length + 1; i > 1; --i) { |
||||||
|
buffer[i] = _SYMBOLS[value & 0xf]; |
||||||
|
value >>= 4; |
||||||
|
} |
||||||
|
require(value == 0, "Strings: hex length insufficient"); |
||||||
|
return string(buffer); |
||||||
|
} |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation. |
||||||
|
*/ |
||||||
|
function toHexString(address addr) internal pure returns (string memory) { |
||||||
|
return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH); |
||||||
|
} |
||||||
|
|
||||||
|
/** |
||||||
|
* @dev Returns true if the two strings are equal. |
||||||
|
*/ |
||||||
|
function equal(string memory a, string memory b) internal pure returns (bool) { |
||||||
|
return keccak256(bytes(a)) == keccak256(bytes(b)); |
||||||
|
} |
||||||
|
} |
Loading…
Reference in new issue