// SPDX-License-Identifier: BSD-4-Clause
/*
 * ABDK Math 64.64 Smart Contract Library.  Copyright © 2019 by ABDK Consulting.
 * Author: Mikhail Vladimirov <mikhail.vladimirov@gmail.com>
 */
pragma solidity ^0.8.0;

/**
 * Smart contract library of mathematical functions operating with signed
 * 64.64-bit fixed point numbers.  Signed 64.64-bit fixed point number is
 * basically a simple fraction whose numerator is signed 128-bit integer and
 * denominator is 2^64.  As long as denominator is always the same, there is no
 * need to store it, thus in Solidity signed 64.64-bit fixed point numbers are
 * represented by int128 type holding only the numerator.
 */
library ABDKMath64x64 {
  /*
   * Minimum value signed 64.64-bit fixed point number may have. 
   */
  int128 private constant MIN_64x64 = -0x80000000000000000000000000000000;

  /*
   * Maximum value signed 64.64-bit fixed point number may have. 
   */
  int128 private constant MAX_64x64 = 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

  /**
   * Convert signed 256-bit integer number into signed 64.64-bit fixed point
   * number.  Revert on overflow.
   *
   * @param x signed 256-bit integer number
   * @return signed 64.64-bit fixed point number
   */
  function fromInt (int256 x) internal pure returns (int128) {
    unchecked {
      require (x >= -0x8000000000000000 && x <= 0x7FFFFFFFFFFFFFFF);
      return int128 (x << 64);
    }
  }

  /**
   * Convert signed 64.64 fixed point number into signed 64-bit integer number
   * rounding down.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64-bit integer number
   */
  function toInt (int128 x) internal pure returns (int64) {
    unchecked {
      return int64 (x >> 64);
    }
  }

  /**
   * Convert unsigned 256-bit integer number into signed 64.64-bit fixed point
   * number.  Revert on overflow.
   *
   * @param x unsigned 256-bit integer number
   * @return signed 64.64-bit fixed point number
   */
  function fromUInt (uint256 x) internal pure returns (int128) {
    unchecked {
      require (x <= 0x7FFFFFFFFFFFFFFF);
      return int128 (int256 (x << 64));
    }
  }

  /**
   * Convert signed 64.64 fixed point number into unsigned 64-bit integer
   * number rounding down.  Revert on underflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @return unsigned 64-bit integer number
   */
  function toUInt (int128 x) internal pure returns (uint64) {
    unchecked {
      require (x >= 0);
      return uint64 (uint128 (x >> 64));
    }
  }

  /**
   * Convert signed 128.128 fixed point number into signed 64.64-bit fixed point
   * number rounding down.  Revert on overflow.
   *
   * @param x signed 128.128-bin fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function from128x128 (int256 x) internal pure returns (int128) {
    unchecked {
      int256 result = x >> 64;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Convert signed 64.64 fixed point number into signed 128.128 fixed point
   * number.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 128.128 fixed point number
   */
  function to128x128 (int128 x) internal pure returns (int256) {
    unchecked {
      return int256 (x) << 64;
    }
  }

  /**
   * Calculate x + y.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function add (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      int256 result = int256(x) + y;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate x - y.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function sub (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      int256 result = int256(x) - y;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate x * y rounding down.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function mul (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      int256 result = int256(x) * y >> 64;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate x * y rounding towards zero, where x is signed 64.64 fixed point
   * number and y is signed 256-bit integer number.  Revert on overflow.
   *
   * @param x signed 64.64 fixed point number
   * @param y signed 256-bit integer number
   * @return signed 256-bit integer number
   */
  function muli (int128 x, int256 y) internal pure returns (int256) {
    unchecked {
      if (x == MIN_64x64) {
        require (y >= -0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF &&
          y <= 0x1000000000000000000000000000000000000000000000000);
        return -y << 63;
      } else {
        bool negativeResult = false;
        if (x < 0) {
          x = -x;
          negativeResult = true;
        }
        if (y < 0) {
          y = -y; // We rely on overflow behavior here
          negativeResult = !negativeResult;
        }
        uint256 absoluteResult = mulu (x, uint256 (y));
        if (negativeResult) {
          require (absoluteResult <=
            0x8000000000000000000000000000000000000000000000000000000000000000);
          return -int256 (absoluteResult); // We rely on overflow behavior here
        } else {
          require (absoluteResult <=
            0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
          return int256 (absoluteResult);
        }
      }
    }
  }

  /**
   * Calculate x * y rounding down, where x is signed 64.64 fixed point number
   * and y is unsigned 256-bit integer number.  Revert on overflow.
   *
   * @param x signed 64.64 fixed point number
   * @param y unsigned 256-bit integer number
   * @return unsigned 256-bit integer number
   */
  function mulu (int128 x, uint256 y) internal pure returns (uint256) {
    unchecked {
      if (y == 0) return 0;

      require (x >= 0);

      uint256 lo = (uint256 (int256 (x)) * (y & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)) >> 64;
      uint256 hi = uint256 (int256 (x)) * (y >> 128);

      require (hi <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
      hi <<= 64;

      require (hi <=
        0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF - lo);
      return hi + lo;
    }
  }

  /**
   * Calculate x / y rounding towards zero.  Revert on overflow or when y is
   * zero.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function div (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      require (y != 0);
      int256 result = (int256 (x) << 64) / y;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate x / y rounding towards zero, where x and y are signed 256-bit
   * integer numbers.  Revert on overflow or when y is zero.
   *
   * @param x signed 256-bit integer number
   * @param y signed 256-bit integer number
   * @return signed 64.64-bit fixed point number
   */
  function divi (int256 x, int256 y) internal pure returns (int128) {
    unchecked {
      require (y != 0);

      bool negativeResult = false;
      if (x < 0) {
        x = -x; // We rely on overflow behavior here
        negativeResult = true;
      }
      if (y < 0) {
        y = -y; // We rely on overflow behavior here
        negativeResult = !negativeResult;
      }
      uint128 absoluteResult = divuu (uint256 (x), uint256 (y));
      if (negativeResult) {
        require (absoluteResult <= 0x80000000000000000000000000000000);
        return -int128 (absoluteResult); // We rely on overflow behavior here
      } else {
        require (absoluteResult <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
        return int128 (absoluteResult); // We rely on overflow behavior here
      }
    }
  }

  /**
   * Calculate x / y rounding towards zero, where x and y are unsigned 256-bit
   * integer numbers.  Revert on overflow or when y is zero.
   *
   * @param x unsigned 256-bit integer number
   * @param y unsigned 256-bit integer number
   * @return signed 64.64-bit fixed point number
   */
  function divu (uint256 x, uint256 y) internal pure returns (int128) {
    unchecked {
      require (y != 0);
      uint128 result = divuu (x, y);
      require (result <= uint128 (MAX_64x64));
      return int128 (result);
    }
  }

  /**
   * Calculate -x.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function neg (int128 x) internal pure returns (int128) {
    unchecked {
      require (x != MIN_64x64);
      return -x;
    }
  }

  /**
   * Calculate |x|.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function abs (int128 x) internal pure returns (int128) {
    unchecked {
      require (x != MIN_64x64);
      return x < 0 ? -x : x;
    }
  }

  /**
   * Calculate 1 / x rounding towards zero.  Revert on overflow or when x is
   * zero.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function inv (int128 x) internal pure returns (int128) {
    unchecked {
      require (x != 0);
      int256 result = int256 (0x100000000000000000000000000000000) / x;
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate arithmetics average of x and y, i.e. (x + y) / 2 rounding down.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function avg (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      return int128 ((int256 (x) + int256 (y)) >> 1);
    }
  }

  /**
   * Calculate geometric average of x and y, i.e. sqrt (x * y) rounding down.
   * Revert on overflow or in case x * y is negative.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function gavg (int128 x, int128 y) internal pure returns (int128) {
    unchecked {
      int256 m = int256 (x) * int256 (y);
      require (m >= 0);
      require (m <
          0x4000000000000000000000000000000000000000000000000000000000000000);
      return int128 (sqrtu (uint256 (m)));
    }
  }

  /**
   * Calculate x^y assuming 0^0 is 1, where x is signed 64.64 fixed point number
   * and y is unsigned 256-bit integer number.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @param y uint256 value
   * @return signed 64.64-bit fixed point number
   */
  function pow (int128 x, uint256 y) internal pure returns (int128) {
    unchecked {
      bool negative = x < 0 && y & 1 == 1;

      uint256 absX = uint128 (x < 0 ? -x : x);
      uint256 absResult;
      absResult = 0x100000000000000000000000000000000;

      if (absX <= 0x10000000000000000) {
        absX <<= 63;
        while (y != 0) {
          if (y & 0x1 != 0) {
            absResult = absResult * absX >> 127;
          }
          absX = absX * absX >> 127;

          if (y & 0x2 != 0) {
            absResult = absResult * absX >> 127;
          }
          absX = absX * absX >> 127;

          if (y & 0x4 != 0) {
            absResult = absResult * absX >> 127;
          }
          absX = absX * absX >> 127;

          if (y & 0x8 != 0) {
            absResult = absResult * absX >> 127;
          }
          absX = absX * absX >> 127;

          y >>= 4;
        }

        absResult >>= 64;
      } else {
        uint256 absXShift = 63;
        if (absX < 0x1000000000000000000000000) { absX <<= 32; absXShift -= 32; }
        if (absX < 0x10000000000000000000000000000) { absX <<= 16; absXShift -= 16; }
        if (absX < 0x1000000000000000000000000000000) { absX <<= 8; absXShift -= 8; }
        if (absX < 0x10000000000000000000000000000000) { absX <<= 4; absXShift -= 4; }
        if (absX < 0x40000000000000000000000000000000) { absX <<= 2; absXShift -= 2; }
        if (absX < 0x80000000000000000000000000000000) { absX <<= 1; absXShift -= 1; }

        uint256 resultShift = 0;
        while (y != 0) {
          require (absXShift < 64);

          if (y & 0x1 != 0) {
            absResult = absResult * absX >> 127;
            resultShift += absXShift;
            if (absResult > 0x100000000000000000000000000000000) {
              absResult >>= 1;
              resultShift += 1;
            }
          }
          absX = absX * absX >> 127;
          absXShift <<= 1;
          if (absX >= 0x100000000000000000000000000000000) {
              absX >>= 1;
              absXShift += 1;
          }

          y >>= 1;
        }

        require (resultShift < 64);
        absResult >>= 64 - resultShift;
      }
      int256 result = negative ? -int256 (absResult) : int256 (absResult);
      require (result >= MIN_64x64 && result <= MAX_64x64);
      return int128 (result);
    }
  }

  /**
   * Calculate sqrt (x) rounding down.  Revert if x < 0.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function sqrt (int128 x) internal pure returns (int128) {
    unchecked {
      require (x >= 0);
      return int128 (sqrtu (uint256 (int256 (x)) << 64));
    }
  }

  /**
   * Calculate binary logarithm of x.  Revert if x <= 0.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function log_2 (int128 x) internal pure returns (int128) {
    unchecked {
      require (x > 0);

      int256 msb = 0;
      int256 xc = x;
      if (xc >= 0x10000000000000000) { xc >>= 64; msb += 64; }
      if (xc >= 0x100000000) { xc >>= 32; msb += 32; }
      if (xc >= 0x10000) { xc >>= 16; msb += 16; }
      if (xc >= 0x100) { xc >>= 8; msb += 8; }
      if (xc >= 0x10) { xc >>= 4; msb += 4; }
      if (xc >= 0x4) { xc >>= 2; msb += 2; }
      if (xc >= 0x2) msb += 1;  // No need to shift xc anymore

      int256 result = msb - 64 << 64;
      uint256 ux = uint256 (int256 (x)) << uint256 (127 - msb);
      for (int256 bit = 0x8000000000000000; bit > 0; bit >>= 1) {
        ux *= ux;
        uint256 b = ux >> 255;
        ux >>= 127 + b;
        result += bit * int256 (b);
      }

      return int128 (result);
    }
  }

  /**
   * Calculate natural logarithm of x.  Revert if x <= 0.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function ln (int128 x) internal pure returns (int128) {
    unchecked {
      require (x > 0);

      return int128 (int256 (
          uint256 (int256 (log_2 (x))) * 0xB17217F7D1CF79ABC9E3B39803F2F6AF >> 128));
    }
  }

  /**
   * Calculate binary exponent of x.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function exp_2 (int128 x) internal pure returns (int128) {
    unchecked {
      require (x < 0x400000000000000000); // Overflow

      if (x < -0x400000000000000000) return 0; // Underflow

      uint256 result = 0x80000000000000000000000000000000;

      if (x & 0x8000000000000000 > 0)
        result = result * 0x16A09E667F3BCC908B2FB1366EA957D3E >> 128;
      if (x & 0x4000000000000000 > 0)
        result = result * 0x1306FE0A31B7152DE8D5A46305C85EDEC >> 128;
      if (x & 0x2000000000000000 > 0)
        result = result * 0x1172B83C7D517ADCDF7C8C50EB14A791F >> 128;
      if (x & 0x1000000000000000 > 0)
        result = result * 0x10B5586CF9890F6298B92B71842A98363 >> 128;
      if (x & 0x800000000000000 > 0)
        result = result * 0x1059B0D31585743AE7C548EB68CA417FD >> 128;
      if (x & 0x400000000000000 > 0)
        result = result * 0x102C9A3E778060EE6F7CACA4F7A29BDE8 >> 128;
      if (x & 0x200000000000000 > 0)
        result = result * 0x10163DA9FB33356D84A66AE336DCDFA3F >> 128;
      if (x & 0x100000000000000 > 0)
        result = result * 0x100B1AFA5ABCBED6129AB13EC11DC9543 >> 128;
      if (x & 0x80000000000000 > 0)
        result = result * 0x10058C86DA1C09EA1FF19D294CF2F679B >> 128;
      if (x & 0x40000000000000 > 0)
        result = result * 0x1002C605E2E8CEC506D21BFC89A23A00F >> 128;
      if (x & 0x20000000000000 > 0)
        result = result * 0x100162F3904051FA128BCA9C55C31E5DF >> 128;
      if (x & 0x10000000000000 > 0)
        result = result * 0x1000B175EFFDC76BA38E31671CA939725 >> 128;
      if (x & 0x8000000000000 > 0)
        result = result * 0x100058BA01FB9F96D6CACD4B180917C3D >> 128;
      if (x & 0x4000000000000 > 0)
        result = result * 0x10002C5CC37DA9491D0985C348C68E7B3 >> 128;
      if (x & 0x2000000000000 > 0)
        result = result * 0x1000162E525EE054754457D5995292026 >> 128;
      if (x & 0x1000000000000 > 0)
        result = result * 0x10000B17255775C040618BF4A4ADE83FC >> 128;
      if (x & 0x800000000000 > 0)
        result = result * 0x1000058B91B5BC9AE2EED81E9B7D4CFAB >> 128;
      if (x & 0x400000000000 > 0)
        result = result * 0x100002C5C89D5EC6CA4D7C8ACC017B7C9 >> 128;
      if (x & 0x200000000000 > 0)
        result = result * 0x10000162E43F4F831060E02D839A9D16D >> 128;
      if (x & 0x100000000000 > 0)
        result = result * 0x100000B1721BCFC99D9F890EA06911763 >> 128;
      if (x & 0x80000000000 > 0)
        result = result * 0x10000058B90CF1E6D97F9CA14DBCC1628 >> 128;
      if (x & 0x40000000000 > 0)
        result = result * 0x1000002C5C863B73F016468F6BAC5CA2B >> 128;
      if (x & 0x20000000000 > 0)
        result = result * 0x100000162E430E5A18F6119E3C02282A5 >> 128;
      if (x & 0x10000000000 > 0)
        result = result * 0x1000000B1721835514B86E6D96EFD1BFE >> 128;
      if (x & 0x8000000000 > 0)
        result = result * 0x100000058B90C0B48C6BE5DF846C5B2EF >> 128;
      if (x & 0x4000000000 > 0)
        result = result * 0x10000002C5C8601CC6B9E94213C72737A >> 128;
      if (x & 0x2000000000 > 0)
        result = result * 0x1000000162E42FFF037DF38AA2B219F06 >> 128;
      if (x & 0x1000000000 > 0)
        result = result * 0x10000000B17217FBA9C739AA5819F44F9 >> 128;
      if (x & 0x800000000 > 0)
        result = result * 0x1000000058B90BFCDEE5ACD3C1CEDC823 >> 128;
      if (x & 0x400000000 > 0)
        result = result * 0x100000002C5C85FE31F35A6A30DA1BE50 >> 128;
      if (x & 0x200000000 > 0)
        result = result * 0x10000000162E42FF0999CE3541B9FFFCF >> 128;
      if (x & 0x100000000 > 0)
        result = result * 0x100000000B17217F80F4EF5AADDA45554 >> 128;
      if (x & 0x80000000 > 0)
        result = result * 0x10000000058B90BFBF8479BD5A81B51AD >> 128;
      if (x & 0x40000000 > 0)
        result = result * 0x1000000002C5C85FDF84BD62AE30A74CC >> 128;
      if (x & 0x20000000 > 0)
        result = result * 0x100000000162E42FEFB2FED257559BDAA >> 128;
      if (x & 0x10000000 > 0)
        result = result * 0x1000000000B17217F7D5A7716BBA4A9AE >> 128;
      if (x & 0x8000000 > 0)
        result = result * 0x100000000058B90BFBE9DDBAC5E109CCE >> 128;
      if (x & 0x4000000 > 0)
        result = result * 0x10000000002C5C85FDF4B15DE6F17EB0D >> 128;
      if (x & 0x2000000 > 0)
        result = result * 0x1000000000162E42FEFA494F1478FDE05 >> 128;
      if (x & 0x1000000 > 0)
        result = result * 0x10000000000B17217F7D20CF927C8E94C >> 128;
      if (x & 0x800000 > 0)
        result = result * 0x1000000000058B90BFBE8F71CB4E4B33D >> 128;
      if (x & 0x400000 > 0)
        result = result * 0x100000000002C5C85FDF477B662B26945 >> 128;
      if (x & 0x200000 > 0)
        result = result * 0x10000000000162E42FEFA3AE53369388C >> 128;
      if (x & 0x100000 > 0)
        result = result * 0x100000000000B17217F7D1D351A389D40 >> 128;
      if (x & 0x80000 > 0)
        result = result * 0x10000000000058B90BFBE8E8B2D3D4EDE >> 128;
      if (x & 0x40000 > 0)
        result = result * 0x1000000000002C5C85FDF4741BEA6E77E >> 128;
      if (x & 0x20000 > 0)
        result = result * 0x100000000000162E42FEFA39FE95583C2 >> 128;
      if (x & 0x10000 > 0)
        result = result * 0x1000000000000B17217F7D1CFB72B45E1 >> 128;
      if (x & 0x8000 > 0)
        result = result * 0x100000000000058B90BFBE8E7CC35C3F0 >> 128;
      if (x & 0x4000 > 0)
        result = result * 0x10000000000002C5C85FDF473E242EA38 >> 128;
      if (x & 0x2000 > 0)
        result = result * 0x1000000000000162E42FEFA39F02B772C >> 128;
      if (x & 0x1000 > 0)
        result = result * 0x10000000000000B17217F7D1CF7D83C1A >> 128;
      if (x & 0x800 > 0)
        result = result * 0x1000000000000058B90BFBE8E7BDCBE2E >> 128;
      if (x & 0x400 > 0)
        result = result * 0x100000000000002C5C85FDF473DEA871F >> 128;
      if (x & 0x200 > 0)
        result = result * 0x10000000000000162E42FEFA39EF44D91 >> 128;
      if (x & 0x100 > 0)
        result = result * 0x100000000000000B17217F7D1CF79E949 >> 128;
      if (x & 0x80 > 0)
        result = result * 0x10000000000000058B90BFBE8E7BCE544 >> 128;
      if (x & 0x40 > 0)
        result = result * 0x1000000000000002C5C85FDF473DE6ECA >> 128;
      if (x & 0x20 > 0)
        result = result * 0x100000000000000162E42FEFA39EF366F >> 128;
      if (x & 0x10 > 0)
        result = result * 0x1000000000000000B17217F7D1CF79AFA >> 128;
      if (x & 0x8 > 0)
        result = result * 0x100000000000000058B90BFBE8E7BCD6D >> 128;
      if (x & 0x4 > 0)
        result = result * 0x10000000000000002C5C85FDF473DE6B2 >> 128;
      if (x & 0x2 > 0)
        result = result * 0x1000000000000000162E42FEFA39EF358 >> 128;
      if (x & 0x1 > 0)
        result = result * 0x10000000000000000B17217F7D1CF79AB >> 128;

      result >>= uint256 (int256 (63 - (x >> 64)));
      require (result <= uint256 (int256 (MAX_64x64)));

      return int128 (int256 (result));
    }
  }

  /**
   * Calculate natural exponent of x.  Revert on overflow.
   *
   * @param x signed 64.64-bit fixed point number
   * @return signed 64.64-bit fixed point number
   */
  function exp (int128 x) internal pure returns (int128) {
    unchecked {
      require (x < 0x400000000000000000); // Overflow

      if (x < -0x400000000000000000) return 0; // Underflow

      return exp_2 (
          int128 (int256 (x) * 0x171547652B82FE1777D0FFDA0D23A7D12 >> 128));
    }
  }

  /**
   * Calculate x / y rounding towards zero, where x and y are unsigned 256-bit
   * integer numbers.  Revert on overflow or when y is zero.
   *
   * @param x unsigned 256-bit integer number
   * @param y unsigned 256-bit integer number
   * @return unsigned 64.64-bit fixed point number
   */
  function divuu (uint256 x, uint256 y) private pure returns (uint128) {
    unchecked {
      require (y != 0);

      uint256 result;

      if (x <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)
        result = (x << 64) / y;
      else {
        uint256 msb = 192;
        uint256 xc = x >> 192;
        if (xc >= 0x100000000) { xc >>= 32; msb += 32; }
        if (xc >= 0x10000) { xc >>= 16; msb += 16; }
        if (xc >= 0x100) { xc >>= 8; msb += 8; }
        if (xc >= 0x10) { xc >>= 4; msb += 4; }
        if (xc >= 0x4) { xc >>= 2; msb += 2; }
        if (xc >= 0x2) msb += 1;  // No need to shift xc anymore

        result = (x << 255 - msb) / ((y - 1 >> msb - 191) + 1);
        require (result <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);

        uint256 hi = result * (y >> 128);
        uint256 lo = result * (y & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);

        uint256 xh = x >> 192;
        uint256 xl = x << 64;

        if (xl < lo) xh -= 1;
        xl -= lo; // We rely on overflow behavior here
        lo = hi << 128;
        if (xl < lo) xh -= 1;
        xl -= lo; // We rely on overflow behavior here

        result += xh == hi >> 128 ? xl / y : 1;
      }

      require (result <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
      return uint128 (result);
    }
  }

  /**
   * Calculate sqrt (x) rounding down, where x is unsigned 256-bit integer
   * number.
   *
   * @param x unsigned 256-bit integer number
   * @return unsigned 128-bit integer number
   */
  function sqrtu (uint256 x) private pure returns (uint128) {
    unchecked {
      if (x == 0) return 0;
      else {
        uint256 xx = x;
        uint256 r = 1;
        if (xx >= 0x100000000000000000000000000000000) { xx >>= 128; r <<= 64; }
        if (xx >= 0x10000000000000000) { xx >>= 64; r <<= 32; }
        if (xx >= 0x100000000) { xx >>= 32; r <<= 16; }
        if (xx >= 0x10000) { xx >>= 16; r <<= 8; }
        if (xx >= 0x100) { xx >>= 8; r <<= 4; }
        if (xx >= 0x10) { xx >>= 4; r <<= 2; }
        if (xx >= 0x4) { r <<= 1; }
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1;
        r = (r + x / r) >> 1; // Seven iterations should be enough
        uint256 r1 = x / r;
        return uint128 (r < r1 ? r : r1);
      }
    }
  }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @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.
     * ====
     */
    function isContract(address account) internal view returns (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].
     */
    function sendValue(address payable 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._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        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._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        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._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        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._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory 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._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        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._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory 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._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        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._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory 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._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        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 contract
                require(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._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC1155/IERC1155.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC1155 compliant contract, as defined in the
 * https://eips.ethereum.org/EIPS/eip-1155[EIP].
 *
 * _Available since v3.1._
 */
interface IERC1155 is IERC165 {
    /**
     * @dev Emitted when `value` tokens of token type `id` are transferred from `from` to `to` by `operator`.
     */
    event TransferSingle(address indexed operator, address indexed from, address indexed to, uint256 id, uint256 value);

    /**
     * @dev Equivalent to multiple {TransferSingle} events, where `operator`, `from` and `to` are the same for all
     * transfers.
     */
    event TransferBatch(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256[] ids,
        uint256[] values
    );

    /**
     * @dev Emitted when `account` grants or revokes permission to `operator` to transfer their tokens, according to
     * `approved`.
     */
    event ApprovalForAll(address indexed account, address indexed operator, bool approved);

    /**
     * @dev Emitted when the URI for token type `id` changes to `value`, if it is a non-programmatic URI.
     *
     * If an {URI} event was emitted for `id`, the standard
     * https://eips.ethereum.org/EIPS/eip-1155#metadata-extensions[guarantees] that `value` will equal the value
     * returned by {IERC1155MetadataURI-uri}.
     */
    event URI(string value, uint256 indexed id);

    /**
     * @dev Returns the amount of tokens of token type `id` owned by `account`.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function balanceOf(address account, uint256 id) external view returns (uint256);

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {balanceOf}.
     *
     * Requirements:
     *
     * - `accounts` and `ids` must have the same length.
     */
    function balanceOfBatch(
        address[] calldata accounts,
        uint256[] calldata ids
    ) external view returns (uint256[] memory);

    /**
     * @dev Grants or revokes permission to `operator` to transfer the caller's tokens, according to `approved`,
     *
     * Emits an {ApprovalForAll} event.
     *
     * Requirements:
     *
     * - `operator` cannot be the caller.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns true if `operator` is approved to transfer ``account``'s tokens.
     *
     * See {setApprovalForAll}.
     */
    function isApprovedForAll(address account, address operator) external view returns (bool);

    /**
     * @dev Transfers `amount` tokens of token type `id` from `from` to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - If the caller is not `from`, it must have been approved to spend ``from``'s tokens via {setApprovalForAll}.
     * - `from` must have a balance of tokens of type `id` of at least `amount`.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function safeTransferFrom(address from, address to, uint256 id, uint256 amount, bytes calldata data) external;

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {safeTransferFrom}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts,
        bytes calldata data
    ) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC20.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20.sol";

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

interface IERC20Receiver {
    /**
     * @notice Handle the receipt of a ERC20 token(s)
     * @dev The ERC20 smart contract calls this function on the recipient
     *      after a successful transfer (`safeTransferFrom`).
     *      This function MAY throw to revert and reject the transfer.
     *      Return of other than the magic value MUST result in the transaction being reverted.
     * @notice The contract address is always the message sender.
     *      A wallet/broker/auction application MUST implement the wallet interface
     *      if it will accept safe transfers.
     * @param _operator The address which called `safeTransferFrom` function
     * @param _from The address which previously owned the token
     * @param _value amount of tokens which is being transferred
     * @param _data additional data with no specified format
     * @return `bytes4(keccak256("onERC20Received(address,address,uint256,bytes)"))` unless throwing
     */
    function onERC20Received(
        address _operator,
        address _from,
        uint256 _value,
        bytes calldata _data
    ) external returns (bytes4);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

interface IMOPN {
    struct CollectionDataStruct {
        uint24 CollectionMOPNPoint;
        uint48 OnMapMOPNPoints;
        uint16 OnMapNftNumber;
        uint16 OnMapAgentPlaceNftNumber;
        uint48 PerCollectionNFTMinted;
        uint48 PerMOPNPointMinted;
        uint48 SettledMT;
    }

    struct AccountDataStruct {
        uint16 LandId;
        uint24 Coordinate;
        uint48 PerMOPNPointMinted;
        uint48 SettledMT;
        uint48 PerCollectionNFTMinted;
        uint16 AgentAssignPercentage;
        address AgentPlacer;
    }

    /**
     * @notice This event emit when an avatar jump into the map
     * @param account account wallet address
     * @param LandId MOPN Land Id
     * @param tileCoordinate tile coordinate
     */
    event AccountJumpIn(
        address indexed account,
        uint16 indexed LandId,
        uint24 tileCoordinate,
        address agentPlacer,
        uint16 AgentAssignPercentage
    );

    /**
     * @notice This event emit when an avatar move on map
     * @param account account wallet address
     * @param LandId MOPN Land Id
     * @param fromCoordinate tile coordinate
     * @param toCoordinate tile coordinate
     */
    event AccountMove(
        address indexed account,
        uint16 indexed LandId,
        uint24 fromCoordinate,
        uint24 toCoordinate
    );

    /**
     * @notice BombUse Event emit when a Bomb is used at a coordinate by an avatar
     * @param account account wallet address
     * @param victim the victim that bombed out of the map
     * @param tileCoordinate the tileCoordinate
     */
    event BombUse(
        address indexed account,
        address victim,
        uint24 tileCoordinate
    );

    event CollectionPointChange(
        address collectionAddress,
        uint256 CollectionPoint
    );

    event AccountMTMinted(
        address indexed account,
        uint256 amount,
        uint16 AgentAssignPercentage
    );

    event CollectionMTMinted(address indexed collectionAddress, uint256 amount);

    event LandHolderMTMinted(uint16 indexed LandId, uint256 amount);

    function MTOutputPerBlock() external view returns (uint32);

    function MTStepStartBlock() external view returns (uint32);

    function MTReduceInterval() external view returns (uint256);

    function TotalMOPNPoints() external view returns (uint48);

    function LastTickBlock() external view returns (uint32);

    function PerMOPNPointMinted() external view returns (uint48);

    function MTTotalMinted() external view returns (uint64);

    function currentMTPPB() external view returns (uint256);

    function currentMTPPB(uint256 reduceTimes) external view returns (uint256);

    function MTReduceTimes() external view returns (uint256);

    function settlePerMOPNPointMinted() external;

    function getCollectionData(
        address collectionAddress
    ) external view returns (CollectionDataStruct memory);

    function settleCollectionMT(address collectionAddress) external;

    function claimCollectionMT(address collectionAddress) external;

    function settleCollectionMOPNPoint(
        address collectionAddress,
        uint24 point
    ) external;

    function getAccountData(
        address account
    ) external view returns (AccountDataStruct memory);

    function getAccountCollection(
        address account
    ) external view returns (address collectionAddress);

    function getAccountOnMapMOPNPoint(
        address account
    ) external view returns (uint256 OnMapMOPNPoint);

    function claimAccountMT(address account) external;
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

import "@openzeppelin/contracts/interfaces/IERC1155.sol";

interface IMOPNBomb is IERC1155 {
    function mint(address to, uint256 id, uint256 amount) external;

    function burn(address from, uint256 id, uint256 amount) external;

    function transferOwnership(address newOwner) external;
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

interface IMOPNGovernance {
    function owner() external view returns (address);

    function auctionHouseContract() external view returns (address);

    function mopnContract() external view returns (address);

    function bombContract() external view returns (address);

    function tokenContract() external view returns (address);

    function pointContract() external view returns (address);

    function landContract() external view returns (address);

    function dataContract() external view returns (address);

    function rentalContract() external view returns (address);

    function ERC6551Registry() external view returns (address);

    function ERC6551AccountProxy() external view returns (address);

    function ERC6551AccountHelper() external view returns (address);

    function createCollectionVault(
        address collectionAddress
    ) external returns (address);

    function getCollectionVaultIndex(
        address collectionAddress
    ) external view returns (uint256);

    function getCollectionVault(
        address collectionAddress
    ) external view returns (address);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

import "@openzeppelin/contracts/interfaces/IERC721.sol";

interface IMOPNLand is IERC721 {
    function auctionMint(address to, uint256 amount) external;

    function nextTokenId() external view returns (uint256);

    function MAX_SUPPLY() external view returns (uint256);

    function name() external view returns (string memory);

    function symbol() external view returns (string memory);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

import "@openzeppelin/contracts/interfaces/IERC20.sol";

interface IMOPNToken is IERC20 {
    function mint(address to, uint256 amount) external;

    function burn(uint256 amount) external;

    function burnFrom(address account, uint256 amount) external;

    function mopnburn(address account, uint256 amount) external;

    function safeTransferFrom(
        address _from,
        address _to,
        uint256 _value,
        bytes memory _data
    ) external;

    function transferOwnership(address newOwner) external;
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

import "hardhat/console.sol";

import "./interfaces/IMOPN.sol";
import "./interfaces/IMOPNBomb.sol";
import "./interfaces/IMOPNToken.sol";
import "./interfaces/IMOPNGovernance.sol";
import "./interfaces/IMOPNLand.sol";

import "./interfaces/IERC20Receiver.sol";
import "@openzeppelin/contracts/utils/Multicall.sol";
import "abdk-libraries-solidity/ABDKMath64x64.sol";

/*
.___  ___.   ______   .______   .__   __. 
|   \/   |  /  __  \  |   _  \  |  \ |  | 
|  \  /  | |  |  |  | |  |_)  | |   \|  | 
|  |\/|  | |  |  |  | |   ___/  |  . `  | 
|  |  |  | |  `--'  | |  |      |  |\   | 
|__|  |__|  \______/  | _|      |__| \__| 
*/
contract MOPNAuctionHouse is Multicall {
    IMOPNGovernance public governance;

    event BombSold(address indexed buyer, uint256 amount, uint256 price);

    uint256 public constant landPrice = 1000000000000;

    struct QActStruct {
        uint16[24] qacts;
        uint32 lastQactBlock;
    }

    QActStruct public qact;

    uint32 public landRoundStartBlock;

    uint64 public landRoundId;

    event LandSold(address indexed buyer, uint256 price);

    modifier onlyMOPN() {
        require(
            msg.sender == governance.mopnContract() ||
                msg.sender == governance.auctionHouseContract(),
            "not allowed"
        );
        _;
    }

    constructor(address governance_, uint32 landStartBlock) {
        governance = IMOPNGovernance(governance_);
        landRoundStartBlock = landStartBlock;
        landRoundId = 1;
    }

    /**
     * @notice buy the amount of bombs at current block's price
     * @param amount the amount of bombs
     */
    function buyBomb(uint256 amount) public {
        uint256 price = getBombCurrentPrice();

        if (price > 0) {
            IMOPNToken(governance.tokenContract()).mopnburn(
                msg.sender,
                price * amount
            );
        }

        _buyBomb(msg.sender, amount, price);
    }

    function buyBombFrom(address from, uint256 amount) public onlyMOPN {
        uint256 price = getBombCurrentPrice();

        if (price > 0) {
            IMOPNToken(governance.tokenContract()).mopnburn(
                from,
                price * amount
            );
        }

        _buyBomb(from, amount, price);
    }

    function _buyBomb(address buyer, uint256 amount, uint256 price) internal {
        increaseQAct(amount);
        IMOPNBomb(governance.bombContract()).mint(buyer, 1, amount);
        emit BombSold(buyer, amount, price);
    }

    function getQActInfo() public view returns (QActStruct memory qact_) {
        qact_ = qact;
    }

    function getQAct() public view returns (uint256 qact_) {
        uint256 qactgap = block.number - qact.lastQactBlock;
        if (qactgap < 7200) {
            uint256 currentIndex = (block.number % 7200) / 300;
            if (qactgap < 300) {
                qact_ = qact.qacts[currentIndex];
            }
            uint256 endIndex = 24 - (qactgap / 300);
            endIndex = (currentIndex + endIndex) % 24;
            currentIndex = (currentIndex + 1) % 24;
            while (currentIndex != endIndex) {
                qact_ += qact.qacts[currentIndex];
                currentIndex = (currentIndex + 1) % 24;
            }
        }
    }

    function increaseQAct(uint256 amount) internal {
        uint256 qactgap = block.number - qact.lastQactBlock;
        uint256 lastIndex = (qact.lastQactBlock % 7200) / 300;
        uint256 currentIndex = (block.number % 7200) / 300;
        uint256 endIndex;
        if (qactgap >= 7200) {
            endIndex = (currentIndex + 1) % 24;
        } else {
            if (lastIndex == currentIndex) {
                if (qactgap >= 300) endIndex = (lastIndex + 1) % 24;
                else endIndex = lastIndex;
            } else {
                endIndex = (lastIndex + 1) % 24;
            }
        }
        while (currentIndex != endIndex) {
            qact.qacts[endIndex] = 0;
            endIndex = (endIndex + 1) % 24;
        }

        qact.lastQactBlock = uint32(block.number);
        if (lastIndex != currentIndex || qactgap >= 300) {
            qact.qacts[currentIndex] = uint16(amount);
        } else {
            if (amount + qact.qacts[currentIndex] > type(uint16).max) {
                qact.qacts[currentIndex] = type(uint16).max;
            } else {
                qact.qacts[currentIndex] += uint16(amount);
            }
        }
    }

    /**
     * @notice get the current auction price by block.timestamp
     * @return price current auction price
     */
    function getBombCurrentPrice() public view returns (uint256) {
        IMOPN mopn = IMOPN(governance.mopnContract());
        uint256 pmt = mopn.currentMTPPB() * 7200;
        uint256 pexp = (pmt * 7) /
            (91 * IMOPNLand(governance.landContract()).nextTokenId());
        int256 qexp = int256(pmt / (2 * pexp));

        return
            ABDKMath64x64.mulu(
                ABDKMath64x64.exp(
                    ABDKMath64x64.divi(int256(getQAct()) - qexp, qexp)
                ),
                pexp
            );
    }

    /**
     * @notice get current Land Round Id
     * @return roundId round Id
     */
    function getLandRoundId() public view returns (uint64) {
        return landRoundId;
    }

    function getLandRoundStartBlock() public view returns (uint32) {
        return landRoundStartBlock;
    }

    /**
     * @notice buy one land at current block's price
     */
    function buyLand() public {
        uint256 price = getLandCurrentPrice();

        if (price > 0) {
            require(
                IMOPNToken(governance.tokenContract()).balanceOf(msg.sender) >
                    price,
                "MOPNToken not enough"
            );
            IMOPNToken(governance.tokenContract()).mopnburn(msg.sender, price);
        }

        _buyLand(msg.sender, price);
    }

    function _buyLand(address buyer, uint256 price) internal {
        require(block.number >= landRoundStartBlock, "auction not start");

        IMOPNLand(governance.landContract()).auctionMint(buyer, 1);

        emit LandSold(buyer, price);

        landRoundId++;
        landRoundStartBlock = uint32(block.number);
    }

    /**
     * @notice get the current auction price for land
     * @return price current auction price
     */
    function getLandCurrentPrice() public view returns (uint256) {
        if (landRoundStartBlock >= block.number) {
            return landPrice;
        }
        return getLandPrice((block.number - landRoundStartBlock) / 5);
    }

    function getLandPrice(uint256 reduceTimes) public pure returns (uint256) {
        int128 reducePercentage = ABDKMath64x64.divu(99, 100);
        int128 reducePower = ABDKMath64x64.pow(reducePercentage, reduceTimes);
        return ABDKMath64x64.mulu(reducePower, landPrice);
    }

    /**
     * @notice a set of current round data
     * @return roundId round Id of current round
     * @return price
     */
    function getLandCurrentData()
        public
        view
        returns (uint256 roundId, uint256 price, uint256 startTimestamp)
    {
        roundId = getLandRoundId();
        price = getLandCurrentPrice();
        startTimestamp = landRoundStartBlock;
    }

    function onERC20Received(
        address,
        address from,
        uint256 value,
        bytes memory data
    ) public returns (bytes4) {
        require(
            msg.sender == governance.tokenContract(),
            "only accept mopn token"
        );

        if (data.length > 0) {
            (uint256 buyType, uint256 amount) = abi.decode(
                data,
                (uint256, uint256)
            );
            if (buyType == 1) {
                if (amount > 0) {
                    uint256 price = getBombCurrentPrice();
                    _checkTransferInAndRefund(from, value, price * amount);
                    _buyBomb(from, amount, price);
                }
            } else if (buyType == 2) {
                uint256 price = getLandCurrentPrice();
                _checkTransferInAndRefund(from, value, price);
                _buyLand(from, price);
            }
        }

        return IERC20Receiver.onERC20Received.selector;
    }

    function _checkTransferInAndRefund(
        address from,
        uint256 amount,
        uint256 charge
    ) internal {
        if (charge > 0) {
            require(amount >= charge, "mopn token not enough");
            IMOPNToken(governance.tokenContract()).burn(charge);
        }

        if (amount > charge) {
            IMOPNToken(governance.tokenContract()).transfer(
                from,
                amount - charge
            );
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Multicall.sol)

pragma solidity ^0.8.0;

import "./Address.sol";

/**
 * @dev Provides a function to batch together multiple calls in a single external call.
 *
 * _Available since v4.1._
 */
abstract contract Multicall {
    /**
     * @dev Receives and executes a batch of function calls on this contract.
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function multicall(bytes[] calldata data) external virtual returns (bytes[] memory results) {
        results = new bytes[](data.length);
        for (uint256 i = 0; i < data.length; i++) {
            results[i] = Address.functionDelegateCall(address(this), data[i]);
        }
        return results;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

library console {
    address constant CONSOLE_ADDRESS =
        0x000000000000000000636F6e736F6c652e6c6f67;

    function _sendLogPayloadImplementation(bytes memory payload) internal view {
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            pop(
                staticcall(
                    gas(),
                    consoleAddress,
                    add(payload, 32),
                    mload(payload),
                    0,
                    0
                )
            )
        }
    }

    function _castToPure(
      function(bytes memory) internal view fnIn
    ) internal pure returns (function(bytes memory) pure fnOut) {
        assembly {
            fnOut := fnIn
        }
    }

    function _sendLogPayload(bytes memory payload) internal pure {
        _castToPure(_sendLogPayloadImplementation)(payload);
    }

    function log() internal pure {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }
    function logInt(int256 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(int256)", p0));
    }

    function logUint(uint256 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function logString(string memory p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint256 p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function log(string memory p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint256 p0, uint256 p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256)", p0, p1));
    }

    function log(uint256 p0, string memory p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string)", p0, p1));
    }

    function log(uint256 p0, bool p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool)", p0, p1));
    }

    function log(uint256 p0, address p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address)", p0, p1));
    }

    function log(string memory p0, uint256 p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint256 p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256)", p0, p1));
    }

    function log(bool p0, string memory p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint256 p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256)", p0, p1));
    }

    function log(address p0, string memory p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint256 p0, uint256 p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint256 p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint256 p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal pure {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}