// SPDX-License-Identifier: MIT// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)pragmasolidity ^0.8.1;/**
* @dev Collection of functions related to the address type
*/libraryAddress{
/**
* @dev Returns true if `account` is a contract.
*
* [IMPORTANT]
* ====
* It is unsafe to assume that an address for which this function returns
* false is an externally-owned account (EOA) and not a contract.
*
* Among others, `isContract` will return false for the following
* types of addresses:
*
* - an externally-owned account
* - a contract in construction
* - an address where a contract will be created
* - an address where a contract lived, but was destroyed
*
* Furthermore, `isContract` will also return true if the target contract within
* the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
* which only has an effect at the end of a transaction.
* ====
*
* [IMPORTANT]
* ====
* You shouldn't rely on `isContract` to protect against flash loan attacks!
*
* Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
* like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
* constructor.
* ====
*/functionisContract(address account) internalviewreturns (bool) {
// This method relies on extcodesize/address.code.length, which returns 0// for contracts in construction, since the code is only stored at the end// of the constructor execution.return account.code.length>0;
}
/**
* @dev Replacement for Solidity's `transfer`: sends `amount` wei to
* `recipient`, forwarding all available gas and reverting on errors.
*
* https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
* of certain opcodes, possibly making contracts go over the 2300 gas limit
* imposed by `transfer`, making them unable to receive funds via
* `transfer`. {sendValue} removes this limitation.
*
* https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
*
* IMPORTANT: because control is transferred to `recipient`, care must be
* taken to not create reentrancy vulnerabilities. Consider using
* {ReentrancyGuard} or the
* https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
*/functionsendValue(addresspayable recipient, uint256 amount) internal{
require(address(this).balance>= amount, "Address: insufficient balance");
(bool success, ) = recipient.call{ value: amount }("");
require(
success,
"Address: unable to send value, recipient may have reverted"
);
}
/**
* @dev Performs a Solidity function call using a low level `call`. A
* plain `call` is an unsafe replacement for a function call: use this
* function instead.
*
* If `target` reverts with a revert reason, it is bubbled up by this
* function (like regular Solidity function calls).
*
* Returns the raw returned data. To convert to the expected return value,
* use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
*
* Requirements:
*
* - `target` must be a contract.
* - calling `target` with `data` must not revert.
*
* _Available since v3.1._
*/functionfunctionCall(address target,
bytesmemory data
) internalreturns (bytesmemory) {
return
functionCallWithValue(target, data, 0, "Address: low-level call failed");
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
* `errorMessage` as a fallback revert reason when `target` reverts.
*
* _Available since v3.1._
*/functionfunctionCall(address target,
bytesmemory data,
stringmemory errorMessage
) internalreturns (bytesmemory) {
return functionCallWithValue(target, data, 0, errorMessage);
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
* but also transferring `value` wei to `target`.
*
* Requirements:
*
* - the calling contract must have an ETH balance of at least `value`.
* - the called Solidity function must be `payable`.
*
* _Available since v3.1._
*/functionfunctionCallWithValue(address target,
bytesmemory data,
uint256 value
) internalreturns (bytesmemory) {
return
functionCallWithValue(
target,
data,
value,
"Address: low-level call with value failed"
);
}
/**
* @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
* with `errorMessage` as a fallback revert reason when `target` reverts.
*
* _Available since v3.1._
*/functionfunctionCallWithValue(address target,
bytesmemory data,
uint256 value,
stringmemory errorMessage
) internalreturns (bytesmemory) {
require(
address(this).balance>= value,
"Address: insufficient balance for call"
);
(bool success, bytesmemory returndata) = target.call{ value: value }(data);
return
verifyCallResultFromTarget(target, success, returndata, errorMessage);
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
* but performing a static call.
*
* _Available since v3.3._
*/functionfunctionStaticCall(address target,
bytesmemory data
) internalviewreturns (bytesmemory) {
return
functionStaticCall(target, data, "Address: low-level static call failed");
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
* but performing a static call.
*
* _Available since v3.3._
*/functionfunctionStaticCall(address target,
bytesmemory data,
stringmemory errorMessage
) internalviewreturns (bytesmemory) {
(bool success, bytesmemory returndata) = target.staticcall(data);
return
verifyCallResultFromTarget(target, success, returndata, errorMessage);
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
* but performing a delegate call.
*
* _Available since v3.4._
*/functionfunctionDelegateCall(address target,
bytesmemory data
) internalreturns (bytesmemory) {
return
functionDelegateCall(
target,
data,
"Address: low-level delegate call failed"
);
}
/**
* @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
* but performing a delegate call.
*
* _Available since v3.4._
*/functionfunctionDelegateCall(address target,
bytesmemory data,
stringmemory errorMessage
) internalreturns (bytesmemory) {
(bool success, bytesmemory returndata) = target.delegatecall(data);
return
verifyCallResultFromTarget(target, success, returndata, errorMessage);
}
/**
* @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
* the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
*
* _Available since v4.8._
*/functionverifyCallResultFromTarget(address target,
bool success,
bytesmemory returndata,
stringmemory errorMessage
) internalviewreturns (bytesmemory) {
if (success) {
if (returndata.length==0) {
// only check isContract if the call was successful and the return data is empty// otherwise we already know that it was a contractrequire(isContract(target), "Address: call to non-contract");
}
return returndata;
} else {
_revert(returndata, errorMessage);
}
}
/**
* @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
* revert reason or using the provided one.
*
* _Available since v4.3._
*/functionverifyCallResult(bool success,
bytesmemory returndata,
stringmemory errorMessage
) internalpurereturns (bytesmemory) {
if (success) {
return returndata;
} else {
_revert(returndata, errorMessage);
}
}
function_revert(bytesmemory returndata,
stringmemory errorMessage
) privatepure{
// Look for revert reason and bubble it up if presentif (returndata.length>0) {
// The easiest way to bubble the revert reason is using memory via assembly/// @solidity memory-safe-assemblyassembly {
let returndata_size :=mload(returndata)
revert(add(32, returndata), returndata_size)
}
} else {
revert(errorMessage);
}
}
}
// SPDX-License-Identifier: MIT// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)// This file was procedurally generated from scripts/generate/templates/SafeCast.js.pragmasolidity ^0.8.0;/**
* @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
* checks.
*
* Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
* easily result in undesired exploitation or bugs, since developers usually
* assume that overflows raise errors. `SafeCast` restores this intuition by
* reverting the transaction when such an operation overflows.
*
* Using this library instead of the unchecked operations eliminates an entire
* class of bugs, so it's recommended to use it always.
*
* Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
* all math on `uint256` and `int256` and then downcasting.
*/librarySafeCast{
/**
* @dev Returns the downcasted uint248 from uint256, reverting on
* overflow (when the input is greater than largest uint248).
*
* Counterpart to Solidity's `uint248` operator.
*
* Requirements:
*
* - input must fit into 248 bits
*
* _Available since v4.7._
*/functiontoUint248(uint256 value) internalpurereturns (uint248) {
require(
value <=type(uint248).max,
"SafeCast: value doesn't fit in 248 bits"
);
returnuint248(value);
}
/**
* @dev Returns the downcasted uint240 from uint256, reverting on
* overflow (when the input is greater than largest uint240).
*
* Counterpart to Solidity's `uint240` operator.
*
* Requirements:
*
* - input must fit into 240 bits
*
* _Available since v4.7._
*/functiontoUint240(uint256 value) internalpurereturns (uint240) {
require(
value <=type(uint240).max,
"SafeCast: value doesn't fit in 240 bits"
);
returnuint240(value);
}
/**
* @dev Returns the downcasted uint232 from uint256, reverting on
* overflow (when the input is greater than largest uint232).
*
* Counterpart to Solidity's `uint232` operator.
*
* Requirements:
*
* - input must fit into 232 bits
*
* _Available since v4.7._
*/functiontoUint232(uint256 value) internalpurereturns (uint232) {
require(
value <=type(uint232).max,
"SafeCast: value doesn't fit in 232 bits"
);
returnuint232(value);
}
/**
* @dev Returns the downcasted uint224 from uint256, reverting on
* overflow (when the input is greater than largest uint224).
*
* Counterpart to Solidity's `uint224` operator.
*
* Requirements:
*
* - input must fit into 224 bits
*
* _Available since v4.2._
*/functiontoUint224(uint256 value) internalpurereturns (uint224) {
require(
value <=type(uint224).max,
"SafeCast: value doesn't fit in 224 bits"
);
returnuint224(value);
}
/**
* @dev Returns the downcasted uint216 from uint256, reverting on
* overflow (when the input is greater than largest uint216).
*
* Counterpart to Solidity's `uint216` operator.
*
* Requirements:
*
* - input must fit into 216 bits
*
* _Available since v4.7._
*/functiontoUint216(uint256 value) internalpurereturns (uint216) {
require(
value <=type(uint216).max,
"SafeCast: value doesn't fit in 216 bits"
);
returnuint216(value);
}
/**
* @dev Returns the downcasted uint208 from uint256, reverting on
* overflow (when the input is greater than largest uint208).
*
* Counterpart to Solidity's `uint208` operator.
*
* Requirements:
*
* - input must fit into 208 bits
*
* _Available since v4.7._
*/functiontoUint208(uint256 value) internalpurereturns (uint208) {
require(
value <=type(uint208).max,
"SafeCast: value doesn't fit in 208 bits"
);
returnuint208(value);
}
/**
* @dev Returns the downcasted uint200 from uint256, reverting on
* overflow (when the input is greater than largest uint200).
*
* Counterpart to Solidity's `uint200` operator.
*
* Requirements:
*
* - input must fit into 200 bits
*
* _Available since v4.7._
*/functiontoUint200(uint256 value) internalpurereturns (uint200) {
require(
value <=type(uint200).max,
"SafeCast: value doesn't fit in 200 bits"
);
returnuint200(value);
}
/**
* @dev Returns the downcasted uint192 from uint256, reverting on
* overflow (when the input is greater than largest uint192).
*
* Counterpart to Solidity's `uint192` operator.
*
* Requirements:
*
* - input must fit into 192 bits
*
* _Available since v4.7._
*/functiontoUint192(uint256 value) internalpurereturns (uint192) {
require(
value <=type(uint192).max,
"SafeCast: value doesn't fit in 192 bits"
);
returnuint192(value);
}
/**
* @dev Returns the downcasted uint184 from uint256, reverting on
* overflow (when the input is greater than largest uint184).
*
* Counterpart to Solidity's `uint184` operator.
*
* Requirements:
*
* - input must fit into 184 bits
*
* _Available since v4.7._
*/functiontoUint184(uint256 value) internalpurereturns (uint184) {
require(
value <=type(uint184).max,
"SafeCast: value doesn't fit in 184 bits"
);
returnuint184(value);
}
/**
* @dev Returns the downcasted uint176 from uint256, reverting on
* overflow (when the input is greater than largest uint176).
*
* Counterpart to Solidity's `uint176` operator.
*
* Requirements:
*
* - input must fit into 176 bits
*
* _Available since v4.7._
*/functiontoUint176(uint256 value) internalpurereturns (uint176) {
require(
value <=type(uint176).max,
"SafeCast: value doesn't fit in 176 bits"
);
returnuint176(value);
}
/**
* @dev Returns the downcasted uint168 from uint256, reverting on
* overflow (when the input is greater than largest uint168).
*
* Counterpart to Solidity's `uint168` operator.
*
* Requirements:
*
* - input must fit into 168 bits
*
* _Available since v4.7._
*/functiontoUint168(uint256 value) internalpurereturns (uint168) {
require(
value <=type(uint168).max,
"SafeCast: value doesn't fit in 168 bits"
);
returnuint168(value);
}
/**
* @dev Returns the downcasted uint160 from uint256, reverting on
* overflow (when the input is greater than largest uint160).
*
* Counterpart to Solidity's `uint160` operator.
*
* Requirements:
*
* - input must fit into 160 bits
*
* _Available since v4.7._
*/functiontoUint160(uint256 value) internalpurereturns (uint160) {
require(
value <=type(uint160).max,
"SafeCast: value doesn't fit in 160 bits"
);
returnuint160(value);
}
/**
* @dev Returns the downcasted uint152 from uint256, reverting on
* overflow (when the input is greater than largest uint152).
*
* Counterpart to Solidity's `uint152` operator.
*
* Requirements:
*
* - input must fit into 152 bits
*
* _Available since v4.7._
*/functiontoUint152(uint256 value) internalpurereturns (uint152) {
require(
value <=type(uint152).max,
"SafeCast: value doesn't fit in 152 bits"
);
returnuint152(value);
}
/**
* @dev Returns the downcasted uint144 from uint256, reverting on
* overflow (when the input is greater than largest uint144).
*
* Counterpart to Solidity's `uint144` operator.
*
* Requirements:
*
* - input must fit into 144 bits
*
* _Available since v4.7._
*/functiontoUint144(uint256 value) internalpurereturns (uint144) {
require(
value <=type(uint144).max,
"SafeCast: value doesn't fit in 144 bits"
);
returnuint144(value);
}
/**
* @dev Returns the downcasted uint136 from uint256, reverting on
* overflow (when the input is greater than largest uint136).
*
* Counterpart to Solidity's `uint136` operator.
*
* Requirements:
*
* - input must fit into 136 bits
*
* _Available since v4.7._
*/functiontoUint136(uint256 value) internalpurereturns (uint136) {
require(
value <=type(uint136).max,
"SafeCast: value doesn't fit in 136 bits"
);
returnuint136(value);
}
/**
* @dev Returns the downcasted uint128 from uint256, reverting on
* overflow (when the input is greater than largest uint128).
*
* Counterpart to Solidity's `uint128` operator.
*
* Requirements:
*
* - input must fit into 128 bits
*
* _Available since v2.5._
*/functiontoUint128(uint256 value) internalpurereturns (uint128) {
require(
value <=type(uint128).max,
"SafeCast: value doesn't fit in 128 bits"
);
returnuint128(value);
}
/**
* @dev Returns the downcasted uint120 from uint256, reverting on
* overflow (when the input is greater than largest uint120).
*
* Counterpart to Solidity's `uint120` operator.
*
* Requirements:
*
* - input must fit into 120 bits
*
* _Available since v4.7._
*/functiontoUint120(uint256 value) internalpurereturns (uint120) {
require(
value <=type(uint120).max,
"SafeCast: value doesn't fit in 120 bits"
);
returnuint120(value);
}
/**
* @dev Returns the downcasted uint112 from uint256, reverting on
* overflow (when the input is greater than largest uint112).
*
* Counterpart to Solidity's `uint112` operator.
*
* Requirements:
*
* - input must fit into 112 bits
*
* _Available since v4.7._
*/functiontoUint112(uint256 value) internalpurereturns (uint112) {
require(
value <=type(uint112).max,
"SafeCast: value doesn't fit in 112 bits"
);
returnuint112(value);
}
/**
* @dev Returns the downcasted uint104 from uint256, reverting on
* overflow (when the input is greater than largest uint104).
*
* Counterpart to Solidity's `uint104` operator.
*
* Requirements:
*
* - input must fit into 104 bits
*
* _Available since v4.7._
*/functiontoUint104(uint256 value) internalpurereturns (uint104) {
require(
value <=type(uint104).max,
"SafeCast: value doesn't fit in 104 bits"
);
returnuint104(value);
}
/**
* @dev Returns the downcasted uint96 from uint256, reverting on
* overflow (when the input is greater than largest uint96).
*
* Counterpart to Solidity's `uint96` operator.
*
* Requirements:
*
* - input must fit into 96 bits
*
* _Available since v4.2._
*/functiontoUint96(uint256 value) internalpurereturns (uint96) {
require(
value <=type(uint96).max,
"SafeCast: value doesn't fit in 96 bits"
);
returnuint96(value);
}
/**
* @dev Returns the downcasted uint88 from uint256, reverting on
* overflow (when the input is greater than largest uint88).
*
* Counterpart to Solidity's `uint88` operator.
*
* Requirements:
*
* - input must fit into 88 bits
*
* _Available since v4.7._
*/functiontoUint88(uint256 value) internalpurereturns (uint88) {
require(
value <=type(uint88).max,
"SafeCast: value doesn't fit in 88 bits"
);
returnuint88(value);
}
/**
* @dev Returns the downcasted uint80 from uint256, reverting on
* overflow (when the input is greater than largest uint80).
*
* Counterpart to Solidity's `uint80` operator.
*
* Requirements:
*
* - input must fit into 80 bits
*
* _Available since v4.7._
*/functiontoUint80(uint256 value) internalpurereturns (uint80) {
require(
value <=type(uint80).max,
"SafeCast: value doesn't fit in 80 bits"
);
returnuint80(value);
}
/**
* @dev Returns the downcasted uint72 from uint256, reverting on
* overflow (when the input is greater than largest uint72).
*
* Counterpart to Solidity's `uint72` operator.
*
* Requirements:
*
* - input must fit into 72 bits
*
* _Available since v4.7._
*/functiontoUint72(uint256 value) internalpurereturns (uint72) {
require(
value <=type(uint72).max,
"SafeCast: value doesn't fit in 72 bits"
);
returnuint72(value);
}
/**
* @dev Returns the downcasted uint64 from uint256, reverting on
* overflow (when the input is greater than largest uint64).
*
* Counterpart to Solidity's `uint64` operator.
*
* Requirements:
*
* - input must fit into 64 bits
*
* _Available since v2.5._
*/functiontoUint64(uint256 value) internalpurereturns (uint64) {
require(
value <=type(uint64).max,
"SafeCast: value doesn't fit in 64 bits"
);
returnuint64(value);
}
/**
* @dev Returns the downcasted uint56 from uint256, reverting on
* overflow (when the input is greater than largest uint56).
*
* Counterpart to Solidity's `uint56` operator.
*
* Requirements:
*
* - input must fit into 56 bits
*
* _Available since v4.7._
*/functiontoUint56(uint256 value) internalpurereturns (uint56) {
require(
value <=type(uint56).max,
"SafeCast: value doesn't fit in 56 bits"
);
returnuint56(value);
}
/**
* @dev Returns the downcasted uint48 from uint256, reverting on
* overflow (when the input is greater than largest uint48).
*
* Counterpart to Solidity's `uint48` operator.
*
* Requirements:
*
* - input must fit into 48 bits
*
* _Available since v4.7._
*/functiontoUint48(uint256 value) internalpurereturns (uint48) {
require(
value <=type(uint48).max,
"SafeCast: value doesn't fit in 48 bits"
);
returnuint48(value);
}
/**
* @dev Returns the downcasted uint40 from uint256, reverting on
* overflow (when the input is greater than largest uint40).
*
* Counterpart to Solidity's `uint40` operator.
*
* Requirements:
*
* - input must fit into 40 bits
*
* _Available since v4.7._
*/functiontoUint40(uint256 value) internalpurereturns (uint40) {
require(
value <=type(uint40).max,
"SafeCast: value doesn't fit in 40 bits"
);
returnuint40(value);
}
/**
* @dev Returns the downcasted uint32 from uint256, reverting on
* overflow (when the input is greater than largest uint32).
*
* Counterpart to Solidity's `uint32` operator.
*
* Requirements:
*
* - input must fit into 32 bits
*
* _Available since v2.5._
*/functiontoUint32(uint256 value) internalpurereturns (uint32) {
require(
value <=type(uint32).max,
"SafeCast: value doesn't fit in 32 bits"
);
returnuint32(value);
}
/**
* @dev Returns the downcasted uint24 from uint256, reverting on
* overflow (when the input is greater than largest uint24).
*
* Counterpart to Solidity's `uint24` operator.
*
* Requirements:
*
* - input must fit into 24 bits
*
* _Available since v4.7._
*/functiontoUint24(uint256 value) internalpurereturns (uint24) {
require(
value <=type(uint24).max,
"SafeCast: value doesn't fit in 24 bits"
);
returnuint24(value);
}
/**
* @dev Returns the downcasted uint16 from uint256, reverting on
* overflow (when the input is greater than largest uint16).
*
* Counterpart to Solidity's `uint16` operator.
*
* Requirements:
*
* - input must fit into 16 bits
*
* _Available since v2.5._
*/functiontoUint16(uint256 value) internalpurereturns (uint16) {
require(
value <=type(uint16).max,
"SafeCast: value doesn't fit in 16 bits"
);
returnuint16(value);
}
/**
* @dev Returns the downcasted uint8 from uint256, reverting on
* overflow (when the input is greater than largest uint8).
*
* Counterpart to Solidity's `uint8` operator.
*
* Requirements:
*
* - input must fit into 8 bits
*
* _Available since v2.5._
*/functiontoUint8(uint256 value) internalpurereturns (uint8) {
require(value <=type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
returnuint8(value);
}
/**
* @dev Converts a signed int256 into an unsigned uint256.
*
* Requirements:
*
* - input must be greater than or equal to 0.
*
* _Available since v3.0._
*/functiontoUint256(int256 value) internalpurereturns (uint256) {
require(value >=0, "SafeCast: value must be positive");
returnuint256(value);
}
/**
* @dev Returns the downcasted int248 from int256, reverting on
* overflow (when the input is less than smallest int248 or
* greater than largest int248).
*
* Counterpart to Solidity's `int248` operator.
*
* Requirements:
*
* - input must fit into 248 bits
*
* _Available since v4.7._
*/functiontoInt248(int256 value) internalpurereturns (int248 downcasted) {
downcasted =int248(value);
require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
}
/**
* @dev Returns the downcasted int240 from int256, reverting on
* overflow (when the input is less than smallest int240 or
* greater than largest int240).
*
* Counterpart to Solidity's `int240` operator.
*
* Requirements:
*
* - input must fit into 240 bits
*
* _Available since v4.7._
*/functiontoInt240(int256 value) internalpurereturns (int240 downcasted) {
downcasted =int240(value);
require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
}
/**
* @dev Returns the downcasted int232 from int256, reverting on
* overflow (when the input is less than smallest int232 or
* greater than largest int232).
*
* Counterpart to Solidity's `int232` operator.
*
* Requirements:
*
* - input must fit into 232 bits
*
* _Available since v4.7._
*/functiontoInt232(int256 value) internalpurereturns (int232 downcasted) {
downcasted =int232(value);
require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
}
/**
* @dev Returns the downcasted int224 from int256, reverting on
* overflow (when the input is less than smallest int224 or
* greater than largest int224).
*
* Counterpart to Solidity's `int224` operator.
*
* Requirements:
*
* - input must fit into 224 bits
*
* _Available since v4.7._
*/functiontoInt224(int256 value) internalpurereturns (int224 downcasted) {
downcasted =int224(value);
require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
}
/**
* @dev Returns the downcasted int216 from int256, reverting on
* overflow (when the input is less than smallest int216 or
* greater than largest int216).
*
* Counterpart to Solidity's `int216` operator.
*
* Requirements:
*
* - input must fit into 216 bits
*
* _Available since v4.7._
*/functiontoInt216(int256 value) internalpurereturns (int216 downcasted) {
downcasted =int216(value);
require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
}
/**
* @dev Returns the downcasted int208 from int256, reverting on
* overflow (when the input is less than smallest int208 or
* greater than largest int208).
*
* Counterpart to Solidity's `int208` operator.
*
* Requirements:
*
* - input must fit into 208 bits
*
* _Available since v4.7._
*/functiontoInt208(int256 value) internalpurereturns (int208 downcasted) {
downcasted =int208(value);
require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
}
/**
* @dev Returns the downcasted int200 from int256, reverting on
* overflow (when the input is less than smallest int200 or
* greater than largest int200).
*
* Counterpart to Solidity's `int200` operator.
*
* Requirements:
*
* - input must fit into 200 bits
*
* _Available since v4.7._
*/functiontoInt200(int256 value) internalpurereturns (int200 downcasted) {
downcasted =int200(value);
require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
}
/**
* @dev Returns the downcasted int192 from int256, reverting on
* overflow (when the input is less than smallest int192 or
* greater than largest int192).
*
* Counterpart to Solidity's `int192` operator.
*
* Requirements:
*
* - input must fit into 192 bits
*
* _Available since v4.7._
*/functiontoInt192(int256 value) internalpurereturns (int192 downcasted) {
downcasted =int192(value);
require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
}
/**
* @dev Returns the downcasted int184 from int256, reverting on
* overflow (when the input is less than smallest int184 or
* greater than largest int184).
*
* Counterpart to Solidity's `int184` operator.
*
* Requirements:
*
* - input must fit into 184 bits
*
* _Available since v4.7._
*/functiontoInt184(int256 value) internalpurereturns (int184 downcasted) {
downcasted =int184(value);
require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
}
/**
* @dev Returns the downcasted int176 from int256, reverting on
* overflow (when the input is less than smallest int176 or
* greater than largest int176).
*
* Counterpart to Solidity's `int176` operator.
*
* Requirements:
*
* - input must fit into 176 bits
*
* _Available since v4.7._
*/functiontoInt176(int256 value) internalpurereturns (int176 downcasted) {
downcasted =int176(value);
require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
}
/**
* @dev Returns the downcasted int168 from int256, reverting on
* overflow (when the input is less than smallest int168 or
* greater than largest int168).
*
* Counterpart to Solidity's `int168` operator.
*
* Requirements:
*
* - input must fit into 168 bits
*
* _Available since v4.7._
*/functiontoInt168(int256 value) internalpurereturns (int168 downcasted) {
downcasted =int168(value);
require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
}
/**
* @dev Returns the downcasted int160 from int256, reverting on
* overflow (when the input is less than smallest int160 or
* greater than largest int160).
*
* Counterpart to Solidity's `int160` operator.
*
* Requirements:
*
* - input must fit into 160 bits
*
* _Available since v4.7._
*/functiontoInt160(int256 value) internalpurereturns (int160 downcasted) {
downcasted =int160(value);
require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
}
/**
* @dev Returns the downcasted int152 from int256, reverting on
* overflow (when the input is less than smallest int152 or
* greater than largest int152).
*
* Counterpart to Solidity's `int152` operator.
*
* Requirements:
*
* - input must fit into 152 bits
*
* _Available since v4.7._
*/functiontoInt152(int256 value) internalpurereturns (int152 downcasted) {
downcasted =int152(value);
require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
}
/**
* @dev Returns the downcasted int144 from int256, reverting on
* overflow (when the input is less than smallest int144 or
* greater than largest int144).
*
* Counterpart to Solidity's `int144` operator.
*
* Requirements:
*
* - input must fit into 144 bits
*
* _Available since v4.7._
*/functiontoInt144(int256 value) internalpurereturns (int144 downcasted) {
downcasted =int144(value);
require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
}
/**
* @dev Returns the downcasted int136 from int256, reverting on
* overflow (when the input is less than smallest int136 or
* greater than largest int136).
*
* Counterpart to Solidity's `int136` operator.
*
* Requirements:
*
* - input must fit into 136 bits
*
* _Available since v4.7._
*/functiontoInt136(int256 value) internalpurereturns (int136 downcasted) {
downcasted =int136(value);
require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
}
/**
* @dev Returns the downcasted int128 from int256, reverting on
* overflow (when the input is less than smallest int128 or
* greater than largest int128).
*
* Counterpart to Solidity's `int128` operator.
*
* Requirements:
*
* - input must fit into 128 bits
*
* _Available since v3.1._
*/functiontoInt128(int256 value) internalpurereturns (int128 downcasted) {
downcasted =int128(value);
require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
}
/**
* @dev Returns the downcasted int120 from int256, reverting on
* overflow (when the input is less than smallest int120 or
* greater than largest int120).
*
* Counterpart to Solidity's `int120` operator.
*
* Requirements:
*
* - input must fit into 120 bits
*
* _Available since v4.7._
*/functiontoInt120(int256 value) internalpurereturns (int120 downcasted) {
downcasted =int120(value);
require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
}
/**
* @dev Returns the downcasted int112 from int256, reverting on
* overflow (when the input is less than smallest int112 or
* greater than largest int112).
*
* Counterpart to Solidity's `int112` operator.
*
* Requirements:
*
* - input must fit into 112 bits
*
* _Available since v4.7._
*/functiontoInt112(int256 value) internalpurereturns (int112 downcasted) {
downcasted =int112(value);
require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
}
/**
* @dev Returns the downcasted int104 from int256, reverting on
* overflow (when the input is less than smallest int104 or
* greater than largest int104).
*
* Counterpart to Solidity's `int104` operator.
*
* Requirements:
*
* - input must fit into 104 bits
*
* _Available since v4.7._
*/functiontoInt104(int256 value) internalpurereturns (int104 downcasted) {
downcasted =int104(value);
require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
}
/**
* @dev Returns the downcasted int96 from int256, reverting on
* overflow (when the input is less than smallest int96 or
* greater than largest int96).
*
* Counterpart to Solidity's `int96` operator.
*
* Requirements:
*
* - input must fit into 96 bits
*
* _Available since v4.7._
*/functiontoInt96(int256 value) internalpurereturns (int96 downcasted) {
downcasted =int96(value);
require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
}
/**
* @dev Returns the downcasted int88 from int256, reverting on
* overflow (when the input is less than smallest int88 or
* greater than largest int88).
*
* Counterpart to Solidity's `int88` operator.
*
* Requirements:
*
* - input must fit into 88 bits
*
* _Available since v4.7._
*/functiontoInt88(int256 value) internalpurereturns (int88 downcasted) {
downcasted =int88(value);
require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
}
/**
* @dev Returns the downcasted int80 from int256, reverting on
* overflow (when the input is less than smallest int80 or
* greater than largest int80).
*
* Counterpart to Solidity's `int80` operator.
*
* Requirements:
*
* - input must fit into 80 bits
*
* _Available since v4.7._
*/functiontoInt80(int256 value) internalpurereturns (int80 downcasted) {
downcasted =int80(value);
require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
}
/**
* @dev Returns the downcasted int72 from int256, reverting on
* overflow (when the input is less than smallest int72 or
* greater than largest int72).
*
* Counterpart to Solidity's `int72` operator.
*
* Requirements:
*
* - input must fit into 72 bits
*
* _Available since v4.7._
*/functiontoInt72(int256 value) internalpurereturns (int72 downcasted) {
downcasted =int72(value);
require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
}
/**
* @dev Returns the downcasted int64 from int256, reverting on
* overflow (when the input is less than smallest int64 or
* greater than largest int64).
*
* Counterpart to Solidity's `int64` operator.
*
* Requirements:
*
* - input must fit into 64 bits
*
* _Available since v3.1._
*/functiontoInt64(int256 value) internalpurereturns (int64 downcasted) {
downcasted =int64(value);
require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
}
/**
* @dev Returns the downcasted int56 from int256, reverting on
* overflow (when the input is less than smallest int56 or
* greater than largest int56).
*
* Counterpart to Solidity's `int56` operator.
*
* Requirements:
*
* - input must fit into 56 bits
*
* _Available since v4.7._
*/functiontoInt56(int256 value) internalpurereturns (int56 downcasted) {
downcasted =int56(value);
require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
}
/**
* @dev Returns the downcasted int48 from int256, reverting on
* overflow (when the input is less than smallest int48 or
* greater than largest int48).
*
* Counterpart to Solidity's `int48` operator.
*
* Requirements:
*
* - input must fit into 48 bits
*
* _Available since v4.7._
*/functiontoInt48(int256 value) internalpurereturns (int48 downcasted) {
downcasted =int48(value);
require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
}
/**
* @dev Returns the downcasted int40 from int256, reverting on
* overflow (when the input is less than smallest int40 or
* greater than largest int40).
*
* Counterpart to Solidity's `int40` operator.
*
* Requirements:
*
* - input must fit into 40 bits
*
* _Available since v4.7._
*/functiontoInt40(int256 value) internalpurereturns (int40 downcasted) {
downcasted =int40(value);
require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
}
/**
* @dev Returns the downcasted int32 from int256, reverting on
* overflow (when the input is less than smallest int32 or
* greater than largest int32).
*
* Counterpart to Solidity's `int32` operator.
*
* Requirements:
*
* - input must fit into 32 bits
*
* _Available since v3.1._
*/functiontoInt32(int256 value) internalpurereturns (int32 downcasted) {
downcasted =int32(value);
require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
}
/**
* @dev Returns the downcasted int24 from int256, reverting on
* overflow (when the input is less than smallest int24 or
* greater than largest int24).
*
* Counterpart to Solidity's `int24` operator.
*
* Requirements:
*
* - input must fit into 24 bits
*
* _Available since v4.7._
*/functiontoInt24(int256 value) internalpurereturns (int24 downcasted) {
downcasted =int24(value);
require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
}
/**
* @dev Returns the downcasted int16 from int256, reverting on
* overflow (when the input is less than smallest int16 or
* greater than largest int16).
*
* Counterpart to Solidity's `int16` operator.
*
* Requirements:
*
* - input must fit into 16 bits
*
* _Available since v3.1._
*/functiontoInt16(int256 value) internalpurereturns (int16 downcasted) {
downcasted =int16(value);
require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
}
/**
* @dev Returns the downcasted int8 from int256, reverting on
* overflow (when the input is less than smallest int8 or
* greater than largest int8).
*
* Counterpart to Solidity's `int8` operator.
*
* Requirements:
*
* - input must fit into 8 bits
*
* _Available since v3.1._
*/functiontoInt8(int256 value) internalpurereturns (int8 downcasted) {
downcasted =int8(value);
require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
}
/**
* @dev Converts an unsigned uint256 into a signed int256.
*
* Requirements:
*
* - input must be less than or equal to maxInt256.
*
* _Available since v3.0._
*/functiontoInt256(uint256 value) internalpurereturns (int256) {
// Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positiverequire(
value <=uint256(type(int256).max),
"SafeCast: value doesn't fit in an int256"
);
returnint256(value);
}
}
Contract Source Code
File 13 of 14: SafeMath.sol
librarySafeMath{
functionadd(uint256 a, uint256 b) internalpurereturns (uint256) {
uint256 c = a + b;
require(c >= a, "SafeMath: addition overflow");
return c;
}
functionsub(uint256 a, uint256 b) internalpurereturns (uint256) {
return sub(a, b, "SafeMath: subtraction overflow");
}
functionsub(uint256 a,
uint256 b,
stringmemory errorMessage
) internalpurereturns (uint256) {
require(b <= a, errorMessage);
uint256 c = a - b;
return c;
}
functionmul(uint256 a, uint256 b) internalpurereturns (uint256) {
if (a ==0) {
return0;
}
uint256 c = a * b;
require(c / a == b, "SafeMath: multiplication overflow");
return c;
}
functiondiv(uint256 a, uint256 b) internalpurereturns (uint256) {
return div(a, b, "SafeMath: division by zero");
}
functiondiv(uint256 a,
uint256 b,
stringmemory errorMessage
) internalpurereturns (uint256) {
require(b >0, errorMessage);
uint256 c = a / b;
return c;
}
}
Contract Source Code
File 14 of 14: SignedMath.sol
// SPDX-License-Identifier: MIT// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)pragmasolidity ^0.8.0;/**
* @dev Standard signed math utilities missing in the Solidity language.
*/librarySignedMath{
/**
* @dev Returns the largest of two signed numbers.
*/functionmax(int256 a, int256 b) internalpurereturns (int256) {
return a > b ? a : b;
}
/**
* @dev Returns the smallest of two signed numbers.
*/functionmin(int256 a, int256 b) internalpurereturns (int256) {
return a < b ? a : b;
}
/**
* @dev Returns the average of two signed numbers without overflow.
* The result is rounded towards zero.
*/functionaverage(int256 a, int256 b) internalpurereturns (int256) {
// Formula from the book "Hacker's Delight"int256 x = (a & b) + ((a ^ b) >>1);
return x + (int256(uint256(x) >>255) & (a ^ b));
}
/**
* @dev Returns the absolute unsigned value of a signed value.
*/functionabs(int256 n) internalpurereturns (uint256) {
unchecked {
// must be unchecked in order to support `n = type(int256).min`returnuint256(n >=0 ? n : -n);
}
}
}