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pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (common/oracle/OrigamiCrossRateOracle.sol)

import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { OrigamiOracleBase } from "contracts/common/oracle/OrigamiOracleBase.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @title OrigamiCrossRateOracle
 * @notice A derived cross rate oracle price, by dividing baseOracle / quotedOracle
 * @dev Both baseOracle and quotedOracle prices are checked against a valid range (eg a peg). 
 * If outside of that range, the latestPrice() function will revert.
 */
contract OrigamiCrossRateOracle is OrigamiOracleBase {
    using OrigamiMath for uint256;

    /**
     * @notice The oracle used for the base asset price
     * ie the LHS in a XXX/YYY quote
     * @dev For [DAI/USDC] = [DAI/USD]/[USDC/USD], baseOracle would point to the [DAI/USD] oracle
     */
    IOrigamiOracle public immutable baseAssetOracle;

    /**
     * @notice The oracle used for the quote asset price
     * ie the RHS in a XXX/YYY quote
     * @dev For [DAI/USDC] = [DAI/USD]/[USDC/USD], quotedOracle would point to the [USDC/USD] oracle
     */
    IOrigamiOracle public immutable quoteAssetOracle;

    /**
     * @notice An oracle to lookup, used to ensure this reference price is valid and does not revert.
     * @dev Can be set to address(0) to disable the check
     */
    IOrigamiOracle public immutable priceCheckOracle;

    /**
     * @notice Whether to multiply or to divide the two rates.
     */
    bool public immutable multiply;

    constructor (
        BaseOracleParams memory baseParams,
        address _baseAssetOracle,
        address _quoteAssetOracle,
        address _priceCheckOracle
    )
        OrigamiOracleBase(baseParams)
    {
        baseAssetOracle = IOrigamiOracle(_baseAssetOracle);
        quoteAssetOracle = IOrigamiOracle(_quoteAssetOracle);
        priceCheckOracle = IOrigamiOracle(_priceCheckOracle);

        // This oracle handles either:
        //   baseAsset/quoteAsset = baseAsset/crossAsset * crossAsset/quoteAsset
        //   baseAsset/quoteAsset = baseAsset/crossAsset / quoteAsset/crossAsset
        // So apply checks that it all matches:
        // 1. The base asset must match the baseAssetOracle's base asset
        if (baseAssetOracle.baseAsset() != baseParams.baseAssetAddress) revert CommonEventsAndErrors.InvalidParam();

        // 2. The quote asset and the cross asset must match the quoteAssetOracle, in either order.
        address _crossAsset = baseAssetOracle.quoteAsset();
        if (!quoteAssetOracle.matchAssets(_crossAsset, baseParams.quoteAssetAddress)) revert CommonEventsAndErrors.InvalidParam();

        multiply = quoteAsset == quoteAssetOracle.quoteAsset();
    }

    /**
     * @notice Return the latest oracle price, to `decimals` precision
     * @dev This may still revert - eg if deemed stale, div by 0, negative price
     * @param priceType What kind of price - Spot or Historic
     * @param roundingMode Round the price at each intermediate step such that the final price rounds in the specified direction.
     */
    function latestPrice(
        PriceType priceType, 
        OrigamiMath.Rounding roundingMode
    ) public override view returns (uint256) {
        // check reference price is valid and does not revert
        if (address(priceCheckOracle) != address(0))
            priceCheckOracle.latestPrice(priceType, roundingMode);

        // baseOracle (the numerator) price follows the requested roundingMode
        // So if roundDown, then we want the numerator to be lower (round down)
        uint256 _basePrice = baseAssetOracle.latestPrice(
            priceType, 
            roundingMode
        );

        if (multiply) {
            // Also the numerator - so follow the requested roundingMode
            uint256 _quotePrice = quoteAssetOracle.latestPrice(
                priceType, 
                roundingMode
            );

            return _basePrice.mulDiv(_quotePrice, precision, roundingMode);
        } else {
            // quotedOracle (the denominator) price follows the opposite roundingMode
            // So if roundDown, then we want the denominator to be higher (round up)
            uint256 _quotePrice = quoteAssetOracle.latestPrice(
                priceType, 
                roundingMode == OrigamiMath.Rounding.ROUND_DOWN ? OrigamiMath.Rounding.ROUND_UP : OrigamiMath.Rounding.ROUND_DOWN
            );
            if (_quotePrice == 0) revert InvalidPrice(address(quoteAssetOracle), int256(_quotePrice));

            // Final price follows the requested roundingMode
            return _basePrice.mulDiv(precision, _quotePrice, roundingMode);
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.8.19;

// Common.sol
//
// Common mathematical functions needed by both SD59x18 and UD60x18. Note that these global functions do not
// always operate with SD59x18 and UD60x18 numbers.

/*//////////////////////////////////////////////////////////////////////////
                                CUSTOM ERRORS
//////////////////////////////////////////////////////////////////////////*/

/// @notice Thrown when the resultant value in {mulDiv} overflows uint256.
error PRBMath_MulDiv_Overflow(uint256 x, uint256 y, uint256 denominator);

/// @notice Thrown when the resultant value in {mulDiv18} overflows uint256.
error PRBMath_MulDiv18_Overflow(uint256 x, uint256 y);

/// @notice Thrown when one of the inputs passed to {mulDivSigned} is `type(int256).min`.
error PRBMath_MulDivSigned_InputTooSmall();

/// @notice Thrown when the resultant value in {mulDivSigned} overflows int256.
error PRBMath_MulDivSigned_Overflow(int256 x, int256 y);

/*//////////////////////////////////////////////////////////////////////////
                                    CONSTANTS
//////////////////////////////////////////////////////////////////////////*/

/// @dev The maximum value a uint128 number can have.
uint128 constant MAX_UINT128 = type(uint128).max;

/// @dev The maximum value a uint40 number can have.
uint40 constant MAX_UINT40 = type(uint40).max;

/// @dev The unit number, which the decimal precision of the fixed-point types.
uint256 constant UNIT = 1e18;

/// @dev The unit number inverted mod 2^256.
uint256 constant UNIT_INVERSE = 78156646155174841979727994598816262306175212592076161876661_508869554232690281;

/// @dev The the largest power of two that divides the decimal value of `UNIT`. The logarithm of this value is the least significant
/// bit in the binary representation of `UNIT`.
uint256 constant UNIT_LPOTD = 262144;

/*//////////////////////////////////////////////////////////////////////////
                                    FUNCTIONS
//////////////////////////////////////////////////////////////////////////*/

/// @notice Calculates the binary exponent of x using the binary fraction method.
/// @dev Has to use 192.64-bit fixed-point numbers. See https://ethereum.stackexchange.com/a/96594/24693.
/// @param x The exponent as an unsigned 192.64-bit fixed-point number.
/// @return result The result as an unsigned 60.18-decimal fixed-point number.
/// @custom:smtchecker abstract-function-nondet
function exp2(uint256 x) pure returns (uint256 result) {
    unchecked {
        // Start from 0.5 in the 192.64-bit fixed-point format.
        result = 0x800000000000000000000000000000000000000000000000;

        // The following logic multiplies the result by $\sqrt{2^{-i}}$ when the bit at position i is 1. Key points:
        //
        // 1. Intermediate results will not overflow, as the starting point is 2^191 and all magic factors are under 2^65.
        // 2. The rationale for organizing the if statements into groups of 8 is gas savings. If the result of performing
        // a bitwise AND operation between x and any value in the array [0x80; 0x40; 0x20; 0x10; 0x08; 0x04; 0x02; 0x01] is 1,
        // we know that `x & 0xFF` is also 1.
        if (x & 0xFF00000000000000 > 0) {
            if (x & 0x8000000000000000 > 0) {
                result = (result * 0x16A09E667F3BCC909) >> 64;
            }
            if (x & 0x4000000000000000 > 0) {
                result = (result * 0x1306FE0A31B7152DF) >> 64;
            }
            if (x & 0x2000000000000000 > 0) {
                result = (result * 0x1172B83C7D517ADCE) >> 64;
            }
            if (x & 0x1000000000000000 > 0) {
                result = (result * 0x10B5586CF9890F62A) >> 64;
            }
            if (x & 0x800000000000000 > 0) {
                result = (result * 0x1059B0D31585743AE) >> 64;
            }
            if (x & 0x400000000000000 > 0) {
                result = (result * 0x102C9A3E778060EE7) >> 64;
            }
            if (x & 0x200000000000000 > 0) {
                result = (result * 0x10163DA9FB33356D8) >> 64;
            }
            if (x & 0x100000000000000 > 0) {
                result = (result * 0x100B1AFA5ABCBED61) >> 64;
            }
        }

        if (x & 0xFF000000000000 > 0) {
            if (x & 0x80000000000000 > 0) {
                result = (result * 0x10058C86DA1C09EA2) >> 64;
            }
            if (x & 0x40000000000000 > 0) {
                result = (result * 0x1002C605E2E8CEC50) >> 64;
            }
            if (x & 0x20000000000000 > 0) {
                result = (result * 0x100162F3904051FA1) >> 64;
            }
            if (x & 0x10000000000000 > 0) {
                result = (result * 0x1000B175EFFDC76BA) >> 64;
            }
            if (x & 0x8000000000000 > 0) {
                result = (result * 0x100058BA01FB9F96D) >> 64;
            }
            if (x & 0x4000000000000 > 0) {
                result = (result * 0x10002C5CC37DA9492) >> 64;
            }
            if (x & 0x2000000000000 > 0) {
                result = (result * 0x1000162E525EE0547) >> 64;
            }
            if (x & 0x1000000000000 > 0) {
                result = (result * 0x10000B17255775C04) >> 64;
            }
        }

        if (x & 0xFF0000000000 > 0) {
            if (x & 0x800000000000 > 0) {
                result = (result * 0x1000058B91B5BC9AE) >> 64;
            }
            if (x & 0x400000000000 > 0) {
                result = (result * 0x100002C5C89D5EC6D) >> 64;
            }
            if (x & 0x200000000000 > 0) {
                result = (result * 0x10000162E43F4F831) >> 64;
            }
            if (x & 0x100000000000 > 0) {
                result = (result * 0x100000B1721BCFC9A) >> 64;
            }
            if (x & 0x80000000000 > 0) {
                result = (result * 0x10000058B90CF1E6E) >> 64;
            }
            if (x & 0x40000000000 > 0) {
                result = (result * 0x1000002C5C863B73F) >> 64;
            }
            if (x & 0x20000000000 > 0) {
                result = (result * 0x100000162E430E5A2) >> 64;
            }
            if (x & 0x10000000000 > 0) {
                result = (result * 0x1000000B172183551) >> 64;
            }
        }

        if (x & 0xFF00000000 > 0) {
            if (x & 0x8000000000 > 0) {
                result = (result * 0x100000058B90C0B49) >> 64;
            }
            if (x & 0x4000000000 > 0) {
                result = (result * 0x10000002C5C8601CC) >> 64;
            }
            if (x & 0x2000000000 > 0) {
                result = (result * 0x1000000162E42FFF0) >> 64;
            }
            if (x & 0x1000000000 > 0) {
                result = (result * 0x10000000B17217FBB) >> 64;
            }
            if (x & 0x800000000 > 0) {
                result = (result * 0x1000000058B90BFCE) >> 64;
            }
            if (x & 0x400000000 > 0) {
                result = (result * 0x100000002C5C85FE3) >> 64;
            }
            if (x & 0x200000000 > 0) {
                result = (result * 0x10000000162E42FF1) >> 64;
            }
            if (x & 0x100000000 > 0) {
                result = (result * 0x100000000B17217F8) >> 64;
            }
        }

        if (x & 0xFF000000 > 0) {
            if (x & 0x80000000 > 0) {
                result = (result * 0x10000000058B90BFC) >> 64;
            }
            if (x & 0x40000000 > 0) {
                result = (result * 0x1000000002C5C85FE) >> 64;
            }
            if (x & 0x20000000 > 0) {
                result = (result * 0x100000000162E42FF) >> 64;
            }
            if (x & 0x10000000 > 0) {
                result = (result * 0x1000000000B17217F) >> 64;
            }
            if (x & 0x8000000 > 0) {
                result = (result * 0x100000000058B90C0) >> 64;
            }
            if (x & 0x4000000 > 0) {
                result = (result * 0x10000000002C5C860) >> 64;
            }
            if (x & 0x2000000 > 0) {
                result = (result * 0x1000000000162E430) >> 64;
            }
            if (x & 0x1000000 > 0) {
                result = (result * 0x10000000000B17218) >> 64;
            }
        }

        if (x & 0xFF0000 > 0) {
            if (x & 0x800000 > 0) {
                result = (result * 0x1000000000058B90C) >> 64;
            }
            if (x & 0x400000 > 0) {
                result = (result * 0x100000000002C5C86) >> 64;
            }
            if (x & 0x200000 > 0) {
                result = (result * 0x10000000000162E43) >> 64;
            }
            if (x & 0x100000 > 0) {
                result = (result * 0x100000000000B1721) >> 64;
            }
            if (x & 0x80000 > 0) {
                result = (result * 0x10000000000058B91) >> 64;
            }
            if (x & 0x40000 > 0) {
                result = (result * 0x1000000000002C5C8) >> 64;
            }
            if (x & 0x20000 > 0) {
                result = (result * 0x100000000000162E4) >> 64;
            }
            if (x & 0x10000 > 0) {
                result = (result * 0x1000000000000B172) >> 64;
            }
        }

        if (x & 0xFF00 > 0) {
            if (x & 0x8000 > 0) {
                result = (result * 0x100000000000058B9) >> 64;
            }
            if (x & 0x4000 > 0) {
                result = (result * 0x10000000000002C5D) >> 64;
            }
            if (x & 0x2000 > 0) {
                result = (result * 0x1000000000000162E) >> 64;
            }
            if (x & 0x1000 > 0) {
                result = (result * 0x10000000000000B17) >> 64;
            }
            if (x & 0x800 > 0) {
                result = (result * 0x1000000000000058C) >> 64;
            }
            if (x & 0x400 > 0) {
                result = (result * 0x100000000000002C6) >> 64;
            }
            if (x & 0x200 > 0) {
                result = (result * 0x10000000000000163) >> 64;
            }
            if (x & 0x100 > 0) {
                result = (result * 0x100000000000000B1) >> 64;
            }
        }

        if (x & 0xFF > 0) {
            if (x & 0x80 > 0) {
                result = (result * 0x10000000000000059) >> 64;
            }
            if (x & 0x40 > 0) {
                result = (result * 0x1000000000000002C) >> 64;
            }
            if (x & 0x20 > 0) {
                result = (result * 0x10000000000000016) >> 64;
            }
            if (x & 0x10 > 0) {
                result = (result * 0x1000000000000000B) >> 64;
            }
            if (x & 0x8 > 0) {
                result = (result * 0x10000000000000006) >> 64;
            }
            if (x & 0x4 > 0) {
                result = (result * 0x10000000000000003) >> 64;
            }
            if (x & 0x2 > 0) {
                result = (result * 0x10000000000000001) >> 64;
            }
            if (x & 0x1 > 0) {
                result = (result * 0x10000000000000001) >> 64;
            }
        }

        // In the code snippet below, two operations are executed simultaneously:
        //
        // 1. The result is multiplied by $(2^n + 1)$, where $2^n$ represents the integer part, and the additional 1
        // accounts for the initial guess of 0.5. This is achieved by subtracting from 191 instead of 192.
        // 2. The result is then converted to an unsigned 60.18-decimal fixed-point format.
        //
        // The underlying logic is based on the relationship $2^{191-ip} = 2^{ip} / 2^{191}$, where $ip$ denotes the,
        // integer part, $2^n$.
        result *= UNIT;
        result >>= (191 - (x >> 64));
    }
}

/// @notice Finds the zero-based index of the first 1 in the binary representation of x.
///
/// @dev See the note on "msb" in this Wikipedia article: https://en.wikipedia.org/wiki/Find_first_set
///
/// Each step in this implementation is equivalent to this high-level code:
///
/// ```solidity
/// if (x >= 2 ** 128) {
///     x >>= 128;
///     result += 128;
/// }
/// ```
///
/// Where 128 is replaced with each respective power of two factor. See the full high-level implementation here:
/// https://gist.github.com/PaulRBerg/f932f8693f2733e30c4d479e8e980948
///
/// The Yul instructions used below are:
///
/// - "gt" is "greater than"
/// - "or" is the OR bitwise operator
/// - "shl" is "shift left"
/// - "shr" is "shift right"
///
/// @param x The uint256 number for which to find the index of the most significant bit.
/// @return result The index of the most significant bit as a uint256.
/// @custom:smtchecker abstract-function-nondet
function msb(uint256 x) pure returns (uint256 result) {
    // 2^128
    assembly ("memory-safe") {
        let factor := shl(7, gt(x, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^64
    assembly ("memory-safe") {
        let factor := shl(6, gt(x, 0xFFFFFFFFFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^32
    assembly ("memory-safe") {
        let factor := shl(5, gt(x, 0xFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^16
    assembly ("memory-safe") {
        let factor := shl(4, gt(x, 0xFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^8
    assembly ("memory-safe") {
        let factor := shl(3, gt(x, 0xFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^4
    assembly ("memory-safe") {
        let factor := shl(2, gt(x, 0xF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^2
    assembly ("memory-safe") {
        let factor := shl(1, gt(x, 0x3))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^1
    // No need to shift x any more.
    assembly ("memory-safe") {
        let factor := gt(x, 0x1)
        result := or(result, factor)
    }
}

/// @notice Calculates x*y÷denominator with 512-bit precision.
///
/// @dev Credits to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv.
///
/// Notes:
/// - The result is rounded toward zero.
///
/// Requirements:
/// - The denominator must not be zero.
/// - The result must fit in uint256.
///
/// @param x The multiplicand as a uint256.
/// @param y The multiplier as a uint256.
/// @param denominator The divisor as a uint256.
/// @return result The result as a uint256.
/// @custom:smtchecker abstract-function-nondet
function mulDiv(uint256 x, uint256 y, uint256 denominator) pure returns (uint256 result) {
    // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
    // use the Chinese Remainder Theorem to reconstruct the 512-bit result. The result is stored in two 256
    // variables such that product = prod1 * 2^256 + prod0.
    uint256 prod0; // Least significant 256 bits of the product
    uint256 prod1; // Most significant 256 bits of the product
    assembly ("memory-safe") {
        let mm := mulmod(x, y, not(0))
        prod0 := mul(x, y)
        prod1 := sub(sub(mm, prod0), lt(mm, prod0))
    }

    // Handle non-overflow cases, 256 by 256 division.
    if (prod1 == 0) {
        unchecked {
            return prod0 / denominator;
        }
    }

    // Make sure the result is less than 2^256. Also prevents denominator == 0.
    if (prod1 >= denominator) {
        revert PRBMath_MulDiv_Overflow(x, y, denominator);
    }

    ////////////////////////////////////////////////////////////////////////////
    // 512 by 256 division
    ////////////////////////////////////////////////////////////////////////////

    // Make division exact by subtracting the remainder from [prod1 prod0].
    uint256 remainder;
    assembly ("memory-safe") {
        // Compute remainder using the mulmod Yul instruction.
        remainder := mulmod(x, y, denominator)

        // Subtract 256 bit number from 512-bit number.
        prod1 := sub(prod1, gt(remainder, prod0))
        prod0 := sub(prod0, remainder)
    }

    unchecked {
        // Calculate the largest power of two divisor of the denominator using the unary operator ~. This operation cannot overflow
        // because the denominator cannot be zero at this point in the function execution. The result is always >= 1.
        // For more detail, see https://cs.stackexchange.com/q/138556/92363.
        uint256 lpotdod = denominator & (~denominator + 1);
        uint256 flippedLpotdod;

        assembly ("memory-safe") {
            // Factor powers of two out of denominator.
            denominator := div(denominator, lpotdod)

            // Divide [prod1 prod0] by lpotdod.
            prod0 := div(prod0, lpotdod)

            // Get the flipped value `2^256 / lpotdod`. If the `lpotdod` is zero, the flipped value is one.
            // `sub(0, lpotdod)` produces the two's complement version of `lpotdod`, which is equivalent to flipping all the bits.
            // However, `div` interprets this value as an unsigned value: https://ethereum.stackexchange.com/q/147168/24693
            flippedLpotdod := add(div(sub(0, lpotdod), lpotdod), 1)
        }

        // Shift in bits from prod1 into prod0.
        prod0 |= prod1 * flippedLpotdod;

        // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
        // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
        // four bits. That is, denominator * inv = 1 mod 2^4.
        uint256 inverse = (3 * denominator) ^ 2;

        // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
        // in modular arithmetic, doubling the correct bits in each step.
        inverse *= 2 - denominator * inverse; // inverse mod 2^8
        inverse *= 2 - denominator * inverse; // inverse mod 2^16
        inverse *= 2 - denominator * inverse; // inverse mod 2^32
        inverse *= 2 - denominator * inverse; // inverse mod 2^64
        inverse *= 2 - denominator * inverse; // inverse mod 2^128
        inverse *= 2 - denominator * inverse; // inverse mod 2^256

        // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
        // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
        // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
        // is no longer required.
        result = prod0 * inverse;
    }
}

/// @notice Calculates x*y÷1e18 with 512-bit precision.
///
/// @dev A variant of {mulDiv} with constant folding, i.e. in which the denominator is hard coded to 1e18.
///
/// Notes:
/// - The body is purposely left uncommented; to understand how this works, see the documentation in {mulDiv}.
/// - The result is rounded toward zero.
/// - We take as an axiom that the result cannot be `MAX_UINT256` when x and y solve the following system of equations:
///
/// $$
/// \begin{cases}
///     x * y = MAX\_UINT256 * UNIT \\
///     (x * y) \% UNIT \geq \frac{UNIT}{2}
/// \end{cases}
/// $$
///
/// Requirements:
/// - Refer to the requirements in {mulDiv}.
/// - The result must fit in uint256.
///
/// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number.
/// @param y The multiplier as an unsigned 60.18-decimal fixed-point number.
/// @return result The result as an unsigned 60.18-decimal fixed-point number.
/// @custom:smtchecker abstract-function-nondet
function mulDiv18(uint256 x, uint256 y) pure returns (uint256 result) {
    uint256 prod0;
    uint256 prod1;
    assembly ("memory-safe") {
        let mm := mulmod(x, y, not(0))
        prod0 := mul(x, y)
        prod1 := sub(sub(mm, prod0), lt(mm, prod0))
    }

    if (prod1 == 0) {
        unchecked {
            return prod0 / UNIT;
        }
    }

    if (prod1 >= UNIT) {
        revert PRBMath_MulDiv18_Overflow(x, y);
    }

    uint256 remainder;
    assembly ("memory-safe") {
        remainder := mulmod(x, y, UNIT)
        result :=
            mul(
                or(
                    div(sub(prod0, remainder), UNIT_LPOTD),
                    mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, UNIT_LPOTD), UNIT_LPOTD), 1))
                ),
                UNIT_INVERSE
            )
    }
}

/// @notice Calculates x*y÷denominator with 512-bit precision.
///
/// @dev This is an extension of {mulDiv} for signed numbers, which works by computing the signs and the absolute values separately.
///
/// Notes:
/// - The result is rounded toward zero.
///
/// Requirements:
/// - Refer to the requirements in {mulDiv}.
/// - None of the inputs can be `type(int256).min`.
/// - The result must fit in int256.
///
/// @param x The multiplicand as an int256.
/// @param y The multiplier as an int256.
/// @param denominator The divisor as an int256.
/// @return result The result as an int256.
/// @custom:smtchecker abstract-function-nondet
function mulDivSigned(int256 x, int256 y, int256 denominator) pure returns (int256 result) {
    if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) {
        revert PRBMath_MulDivSigned_InputTooSmall();
    }

    // Get hold of the absolute values of x, y and the denominator.
    uint256 xAbs;
    uint256 yAbs;
    uint256 dAbs;
    unchecked {
        xAbs = x < 0 ? uint256(-x) : uint256(x);
        yAbs = y < 0 ? uint256(-y) : uint256(y);
        dAbs = denominator < 0 ? uint256(-denominator) : uint256(denominator);
    }

    // Compute the absolute value of x*y÷denominator. The result must fit in int256.
    uint256 resultAbs = mulDiv(xAbs, yAbs, dAbs);
    if (resultAbs > uint256(type(int256).max)) {
        revert PRBMath_MulDivSigned_Overflow(x, y);
    }

    // Get the signs of x, y and the denominator.
    uint256 sx;
    uint256 sy;
    uint256 sd;
    assembly ("memory-safe") {
        // "sgt" is the "signed greater than" assembly instruction and "sub(0,1)" is -1 in two's complement.
        sx := sgt(x, sub(0, 1))
        sy := sgt(y, sub(0, 1))
        sd := sgt(denominator, sub(0, 1))
    }

    // XOR over sx, sy and sd. What this does is to check whether there are 1 or 3 negative signs in the inputs.
    // If there are, the result should be negative. Otherwise, it should be positive.
    unchecked {
        result = sx ^ sy ^ sd == 0 ? -int256(resultAbs) : int256(resultAbs);
    }
}

/// @notice Calculates the square root of x using the Babylonian method.
///
/// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method.
///
/// Notes:
/// - If x is not a perfect square, the result is rounded down.
/// - Credits to OpenZeppelin for the explanations in comments below.
///
/// @param x The uint256 number for which to calculate the square root.
/// @return result The result as a uint256.
/// @custom:smtchecker abstract-function-nondet
function sqrt(uint256 x) pure returns (uint256 result) {
    if (x == 0) {
        return 0;
    }

    // For our first guess, we calculate the biggest power of 2 which is smaller than the square root of x.
    //
    // We know that the "msb" (most significant bit) of x is a power of 2 such that we have:
    //
    // $$
    // msb(x) <= x <= 2*msb(x)$
    // $$
    //
    // We write $msb(x)$ as $2^k$, and we get:
    //
    // $$
    // k = log_2(x)
    // $$
    //
    // Thus, we can write the initial inequality as:
    //
    // $$
    // 2^{log_2(x)} <= x <= 2*2^{log_2(x)+1} \\
    // sqrt(2^k) <= sqrt(x) < sqrt(2^{k+1}) \\
    // 2^{k/2} <= sqrt(x) < 2^{(k+1)/2} <= 2^{(k/2)+1}
    // $$
    //
    // Consequently, $2^{log_2(x) /2} is a good first approximation of sqrt(x) with at least one correct bit.
    uint256 xAux = uint256(x);
    result = 1;
    if (xAux >= 2 ** 128) {
        xAux >>= 128;
        result <<= 64;
    }
    if (xAux >= 2 ** 64) {
        xAux >>= 64;
        result <<= 32;
    }
    if (xAux >= 2 ** 32) {
        xAux >>= 32;
        result <<= 16;
    }
    if (xAux >= 2 ** 16) {
        xAux >>= 16;
        result <<= 8;
    }
    if (xAux >= 2 ** 8) {
        xAux >>= 8;
        result <<= 4;
    }
    if (xAux >= 2 ** 4) {
        xAux >>= 4;
        result <<= 2;
    }
    if (xAux >= 2 ** 2) {
        result <<= 1;
    }

    // At this point, `result` is an estimation with at least one bit of precision. We know the true value has at
    // most 128 bits, since it is the square root of a uint256. Newton's method converges quadratically (precision
    // doubles at every iteration). We thus need at most 7 iteration to turn our partial result with one bit of
    // precision into the expected uint128 result.
    unchecked {
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;

        // If x is not a perfect square, round the result toward zero.
        uint256 roundedResult = x / result;
        if (result >= roundedResult) {
            result = roundedResult;
        }
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (common/oracle/OrigamiOracleBase.sol)

import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";

/**
 * @title OrigamiOracleBase
 * @notice Common base logic for Origami Oracle's
 */
abstract contract OrigamiOracleBase is IOrigamiOracle {
    using OrigamiMath for uint256;

    /**
     * @notice The address used to reference the baseAsset for amount conversions
     */
    address public immutable override baseAsset;

    /**
     * @notice The address used to reference the quoteAsset for amount conversions
     */
    address public immutable override quoteAsset;

    /**
     * @notice The number of decimals of precision the oracle price is returned as
     */
    uint8 public constant override decimals = 18;

    /**
     * @notice The precision that the cross rate oracle price is returned as: `10^decimals`
     */
    uint256 public constant override precision = 1e18;

    /**
     * @notice When converting from baseAsset<->quoteAsset, the fixed point amounts
     * need to be scaled by this amount.
     */
    uint256 public immutable override assetScalingFactor;

    /**
     * @notice A human readable description for this origami oracle
     */
    string public override description;

    constructor(BaseOracleParams memory params) {
        description = params.description;
        baseAsset = params.baseAssetAddress;
        quoteAsset = params.quoteAssetAddress;
        if (params.quoteAssetDecimals > decimals + params.baseAssetDecimals) revert CommonEventsAndErrors.InvalidParam();
        assetScalingFactor = 10 ** (decimals + params.baseAssetDecimals - params.quoteAssetDecimals);
    }

    /**
     * @notice Return the latest oracle price, to `decimals` precision
     * @dev This may still revert - eg if deemed stale, div by 0, negative price
     * @param priceType What kind of price - Spot or Historic
     * @param roundingMode Round the price at each intermediate step such that the final price rounds in the specified direction.
     */
    function latestPrice(
        PriceType priceType, 
        OrigamiMath.Rounding roundingMode
    ) public virtual override view returns (uint256 price);

    /**
     * @notice Same as `latestPrice()` but for two separate prices from this oracle	
     */
    function latestPrices(
        PriceType priceType1, 
        OrigamiMath.Rounding roundingMode1,
        PriceType priceType2, 
        OrigamiMath.Rounding roundingMode2
    ) external virtual override view returns (
        uint256 /*price1*/, 
        uint256 /*price2*/, 
        address /*oracleBaseAsset*/,
        address /*oracleQuoteAsset*/
    ) {
        return (
            latestPrice(priceType1, roundingMode1),
            latestPrice(priceType2, roundingMode2),
            baseAsset,
            quoteAsset
        );
    }

    /**
     * @notice Convert either the baseAsset->quoteAsset or quoteAsset->baseAsset
     * @dev The `fromAssetAmount` needs to be in it's natural fixed point precision (eg USDC=6dp)
     * The `toAssetAmount` will also be returned in it's natural fixed point precision
     */
    function convertAmount(
        address fromAsset,
        uint256 fromAssetAmount,
        PriceType priceType,
        OrigamiMath.Rounding roundingMode 
    ) external override view returns (uint256 toAssetAmount) {
        if (fromAsset == baseAsset) {
            // The numerator needs to round in the same way to be conservative
            uint256 _price = latestPrice(
                priceType, 
                roundingMode
            );

            return fromAssetAmount.mulDiv(
                _price,
                assetScalingFactor,
                roundingMode
            );
        } else if (fromAsset == quoteAsset) {
            // The denominator needs to round in the opposite way to be conservative
            uint256 _price = latestPrice(
                priceType, 
                roundingMode == OrigamiMath.Rounding.ROUND_UP ? OrigamiMath.Rounding.ROUND_DOWN : OrigamiMath.Rounding.ROUND_UP
            );

            if (_price == 0) revert InvalidPrice(address(this), int256(_price));
            return fromAssetAmount.mulDiv(
                assetScalingFactor,
                _price,
                roundingMode
            );
        }

        revert CommonEventsAndErrors.InvalidToken(fromAsset);
    }

    /**
     * @notice Match whether a pair of assets match the base and quote asset on this oracle, in either order
     */
    function matchAssets(address asset1, address asset2) public view returns (bool) {
        return (
            (asset1 == baseAsset && asset2 == quoteAsset) ||
            (asset2 == baseAsset && asset1 == quoteAsset)
        );
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/oracle/IOrigamiOracle.sol)

import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";

/**
 * @notice An oracle which returns prices for pairs of assets, where an asset
 * could refer to a token (eg DAI) or a currency (eg USD)
 * Convention is the same as the FX market. Given the DAI/USD pair:
 *   - DAI = Base Asset (LHS of pair)
 *   - USD = Quote Asset (RHS of pair)
 * This price defines how many USD you get if selling 1 DAI
 *
 * Further, an oracle can define two PriceType's:
 *   - SPOT_PRICE: The latest spot price, for example from a chainlink oracle
 *   - HISTORIC_PRICE: An expected (eg 1:1 peg) or calculated historic price (eg TWAP)
 *
 * For assets which do are not tokens (eg USD), an internal address reference will be used
 * since this is for internal purposes only
 */
interface IOrigamiOracle {
    error InvalidPrice(address oracle, int256 price);
    error InvalidOracleData(address oracle);
    error StalePrice(address oracle, uint256 lastUpdatedAt, int256 price);
    error UnknownPriceType(uint8 priceType);
    error BelowMinValidRange(address oracle, uint256 price, uint128 floor);
    error AboveMaxValidRange(address oracle, uint256 price, uint128 ceiling);

    event ValidPriceRangeSet(uint128 validFloor, uint128 validCeiling);

    enum PriceType {
        /// @notice The current spot price of this Oracle
        SPOT_PRICE,

        /// @notice The historic price of this Oracle. 
        /// It may be a fixed expectation (eg DAI/USD would be fixed to 1)
        /// or use a TWAP or some other moving average, etc.
        HISTORIC_PRICE
    }

    /**
     * @dev Wrapped in a struct to remove stack-too-deep constraints
     */
    struct BaseOracleParams {
        string description;
        address baseAssetAddress;
        uint8 baseAssetDecimals;
        address quoteAssetAddress;
        uint8 quoteAssetDecimals;
    }

    /**
     * @notice The address used to reference the baseAsset for amount conversions
     */
    function baseAsset() external view returns (address);

    /**
     * @notice The address used to reference the quoteAsset for amount conversions
     */
    function quoteAsset() external view returns (address);

    /**
     * @notice The number of decimals of precision the price is returned as
     */
    function decimals() external view returns (uint8);

    /**
     * @notice The precision that the cross rate oracle price is returned as: `10^decimals`
     */
    function precision() external view returns (uint256);

    /**
     * @notice When converting from baseAsset<->quoteAsset, the fixed point amounts
     * need to be scaled by this amount.
     */
    function assetScalingFactor() external view returns (uint256);

    /**
     * @notice A human readable description for this oracle
     */
    function description() external view returns (string memory);

    /**
     * @notice Return the latest oracle price, to `decimals` precision
     * @dev This may still revert - eg if deemed stale, div by 0, negative price
     * @param priceType What kind of price - Spot or Historic
     * @param roundingMode Round the price at each intermediate step such that the final price rounds in the specified direction.
     */
    function latestPrice(
        PriceType priceType, 
        OrigamiMath.Rounding roundingMode
    ) external view returns (uint256 price);

    /**
     * @notice Same as `latestPrice()` but for two separate prices from this oracle	
     */
    function latestPrices(
        PriceType priceType1, 
        OrigamiMath.Rounding roundingMode1,
        PriceType priceType2, 
        OrigamiMath.Rounding roundingMode2
    ) external view returns (
        uint256 price1, 
        uint256 price2, 
        address oracleBaseAsset,
        address oracleQuoteAsset
    );

    /**
     * @notice Convert either the baseAsset->quoteAsset or quoteAsset->baseAsset
     * @dev The `fromAssetAmount` needs to be in it's natural fixed point precision (eg USDC=6dp)
     * The `toAssetAmount` will also be returned in it's natural fixed point precision
     */
    function convertAmount(
        address fromAsset,
        uint256 fromAssetAmount,
        PriceType priceType,
        OrigamiMath.Rounding roundingMode
    ) external view returns (uint256 toAssetAmount);

    /**
     * @notice Match whether a pair of assets match the base and quote asset on this oracle, in either order
     */
    function matchAssets(address asset1, address asset2) external view returns (bool);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/CommonEventsAndErrors.sol)

/// @notice A collection of common events and errors thrown within the Origami contracts
library CommonEventsAndErrors {
    error InsufficientBalance(address token, uint256 required, uint256 balance);
    error InvalidToken(address token);
    error InvalidParam();
    error InvalidAddress(address addr);
    error InvalidAmount(address token, uint256 amount);
    error ExpectedNonZero();
    error Slippage(uint256 minAmountExpected, uint256 actualAmount);
    error IsPaused();
    error UnknownExecuteError(bytes returndata);
    error InvalidAccess();
    error BreachedMaxTotalSupply(uint256 totalSupply, uint256 maxTotalSupply);

    event TokenRecovered(address indexed to, address indexed token, uint256 amount);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/OrigamiMath.sol)

import { mulDiv as prbMulDiv, PRBMath_MulDiv_Overflow } from "@prb/math/src/Common.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @notice Utilities to operate on fixed point math multipliation and division
 * taking rounding into consideration
 */
library OrigamiMath {
    enum Rounding {
        ROUND_DOWN,
        ROUND_UP
    }

    uint256 public constant BASIS_POINTS_DIVISOR = 10_000;

    function scaleUp(uint256 amount, uint256 scalar) internal pure returns (uint256) {
        // Special case for scalar == 1, as it's common for token amounts to not need
        // scaling if decimal places are the same
        return scalar == 1 ? amount : amount * scalar;
    }

    function scaleDown(
        uint256 amount, 
        uint256 scalar, 
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        // Special case for scalar == 1, as it's common for token amounts to not need
        // scaling if decimal places are the same
        unchecked {
            if (scalar == 1) {
                result = amount;
            } else if (roundingMode == Rounding.ROUND_DOWN) {
                result = amount / scalar;
            } else {
                // ROUND_UP uses the same logic as OZ Math.ceilDiv()
                result = amount == 0 ? 0 : (amount - 1) / scalar + 1;
            }
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision,
     * rounding up
     */
    function mulDiv(
        uint256 x, 
        uint256 y, 
        uint256 denominator,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        result = prbMulDiv(x, y, denominator);
        if (roundingMode == Rounding.ROUND_UP) {
            if (mulmod(x, y, denominator) != 0) {
                if (result < type(uint256).max) {
                    unchecked {
                        result = result + 1;
                    }
                } else {
                    revert PRBMath_MulDiv_Overflow(x, y, denominator);
                }
            }
        }
    }

    function subtractBps(
        uint256 inputAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        uint256 numeratorBps;
        unchecked {
            numeratorBps = BASIS_POINTS_DIVISOR - basisPoints;
        }

        result = basisPoints < BASIS_POINTS_DIVISOR
            ? mulDiv(
                inputAmount,
                numeratorBps, 
                BASIS_POINTS_DIVISOR, 
                roundingMode
            ) : 0;
    }

    function addBps(
        uint256 inputAmount,
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        uint256 numeratorBps;
        unchecked {
            numeratorBps = BASIS_POINTS_DIVISOR + basisPoints;
        }

        // Round up for max amounts out expected
        result = mulDiv(
            inputAmount,
            numeratorBps, 
            BASIS_POINTS_DIVISOR, 
            roundingMode
        );
    }

    /**
     * @notice Split the `inputAmount` into two parts based on the `basisPoints` fraction.
     * eg: 3333 BPS (33.3%) can be used to split an input amount of 600 into: (result=400, removed=200).
     * @dev The rounding mode is applied to the `result`
     */
    function splitSubtractBps(
        uint256 inputAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result, uint256 removed) {
        result = subtractBps(inputAmount, basisPoints, roundingMode);
        unchecked {
            removed = inputAmount - result;
        }
    }

    /**
     * @notice Reverse the fractional amount of an input.
     * eg: For 3333 BPS (33.3%) and the remainder=400, the result is 600
     */
    function inverseSubtractBps(
        uint256 remainderAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        if (basisPoints == 0) return remainderAmount; // gas shortcut for 0
        if (basisPoints >= BASIS_POINTS_DIVISOR) revert CommonEventsAndErrors.InvalidParam();

        uint256 denominatorBps;
        unchecked {
            denominatorBps = BASIS_POINTS_DIVISOR - basisPoints;
        }
        result = mulDiv(
            remainderAmount,
            BASIS_POINTS_DIVISOR, 
            denominatorBps, 
            roundingMode
        );
    }

    /**
     * @notice Calculate the relative difference of a value to a reference
     * @dev `value` and `referenceValue` must have the same precision
     * The denominator is always the referenceValue
     */
    function relativeDifferenceBps(
        uint256 value,
        uint256 referenceValue,
        Rounding roundingMode
    ) internal pure returns (uint256) {
        if (referenceValue == 0) revert CommonEventsAndErrors.InvalidParam();

        uint256 absDelta;
        unchecked {
            absDelta = value < referenceValue
                ? referenceValue - value
                : value - referenceValue;
        }

        return mulDiv(
            absDelta,
            BASIS_POINTS_DIVISOR,
            referenceValue,
            roundingMode
        );
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 10000
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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OrigamiMath.Rounding","name":"roundingMode2","type":"uint8"}],"name":"latestPrices","outputs":[{"internalType":"uint256","name":"","type":"uint256"},{"internalType":"uint256","name":"","type":"uint256"},{"internalType":"address","name":"","type":"address"},{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"asset1","type":"address"},{"internalType":"address","name":"asset2","type":"address"}],"name":"matchAssets","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"multiply","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"precision","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"priceCheckOracle","outputs":[{"internalType":"contract IOrigamiOracle","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"quoteAsset","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"quoteAssetOracle","outputs":[{"internalType":"contract IOrigamiOracle","name":"","type":"address"}],"stateMutability":"view","type":"function"}]

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-----Decoded View---------------
Arg [0] : baseParams (tuple): System.Collections.Generic.List`1[Nethereum.ABI.FunctionEncoding.ParameterOutput]
Arg [1] : _baseAssetOracle (address): 0x2267a91555DC492aeab78999263e09635135b3A7
Arg [2] : _quoteAssetOracle (address): 0x39CfDbEfe1e7ccF0665675a3c3f6469b61dD32F5
Arg [3] : _priceCheckOracle (address): 0x10400DF986C4E5C295e889b114644b75A5657337

-----Encoded View---------------
11 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000000080
Arg [1] : 0000000000000000000000002267a91555dc492aeab78999263e09635135b3a7
Arg [2] : 00000000000000000000000039cfdbefe1e7ccf0665675a3c3f6469b61dd32f5
Arg [3] : 00000000000000000000000010400df986c4e5c295e889b114644b75a5657337
Arg [4] : 00000000000000000000000000000000000000000000000000000000000000a0
Arg [5] : 000000000000000000000000e00bd3df25fb187d6abbb620b3dfd19839947b81
Arg [6] : 0000000000000000000000000000000000000000000000000000000000000012
Arg [7] : 0000000000000000000000006b175474e89094c44da98b954eedeac495271d0f
Arg [8] : 0000000000000000000000000000000000000000000000000000000000000012
Arg [9] : 0000000000000000000000000000000000000000000000000000000000000014
Arg [10] : 50542d73555344652d4d6172323032352f444149000000000000000000000000