// Contract: BRONWYN
// Target function: function toOctuple (bytes16 x) internal pure returns (bytes32)
//v3
pragma solidity 0.5.16;

contract Context {
    constructor () internal { }

    function _msgSender() internal view returns (address payable) {
        return msg.sender;
    }

    function _msgData() internal view returns (bytes memory) {
        this; 
        return msg.data;
    }
}

interface IERC20 {
    function totalSupply() external view returns (uint256);

    function balanceOf(address account) external view returns (uint256);

    function transfer(address recipient, uint256 amount) external returns (bool);

    function allowance(address owner, address spender) external view returns (uint256);

    function approve(address spender, uint256 amount) external returns (bool);

    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);

    event Transfer(address indexed from, address indexed to, uint256 value);

    event Approval(address indexed owner, address indexed spender, uint256 value);
}

library SafeMath {

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }

    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");

        return c;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }

    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        uint256 c = a / b;
        return c;
    }
}

// SPDX-License-Identifier: BSD-4-Clause
/*
 * ABDK Math Quad Smart Contract Library.  Copyright © 2019 by ABDK Consulting.
 * Author: Mikhail Vladimirov <mikhail.vladimirov@gmail.com>
 */

/**
 * Smart contract library of mathematical functions operating with IEEE 754
 * quadruple-precision binary floating-point numbers (quadruple precision
 * numbers).  As long as quadruple precision numbers are 16-bytes long, they are
 * represented by bytes16 type.
 */
library ABDKMathQuad {
  /*
   * 0.
   */
  bytes16 private constant POSITIVE_ZERO = 0x00000000000000000000000000000000;

  /*
   * -0.
   */
  bytes16 private constant NEGATIVE_ZERO = 0x80000000000000000000000000000000;

  /*
   * +Infinity.
   */
  bytes16 private constant POSITIVE_INFINITY = 0x7FFF0000000000000000000000000000;

  /*
   * -Infinity.
   */
  bytes16 private constant NEGATIVE_INFINITY = 0xFFFF0000000000000000000000000000;

  /*
   * Canonical NaN value.
   */
  bytes16 private constant NaN = 0x7FFF8000000000000000000000000000;

  /**
   * Convert signed 256-bit integer number into quadruple precision number.
   *
   * @param x signed 256-bit integer number
   * @return quadruple precision number
   */
  function fromInt (int256 x) internal pure returns (bytes16) {
    if (x == 0) return bytes16 (0);
    else {
      // We rely on overflow behavior here
      uint256 result = uint256 (x > 0 ? x : -x);

      uint256 msb = msb (result);
      if (msb < 112) result <<= 112 - msb;
      else if (msb > 112) result >>= msb - 112;

      result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;
      if (x < 0) result |= 0x80000000000000000000000000000000;

      return bytes16 (uint128 (result));
    }
  }

  /**
   * Convert quadruple precision number into signed 256-bit integer number
   * rounding towards zero.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 256-bit integer number
   */
  function toInt (bytes16 x) internal pure returns (int256) {
    uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

    require (exponent <= 16638); // Overflow
    if (exponent < 16383) return 0; // Underflow

    uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
      0x10000000000000000000000000000;

    if (exponent < 16495) result >>= 16495 - exponent;
    else if (exponent > 16495) result <<= exponent - 16495;

    if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
      require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
      return -int256 (result); // We rely on overflow behavior here
    } else {
      require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
      return int256 (result);
    }
  }

  /**
   * Convert unsigned 256-bit integer number into quadruple precision number.
   *
   * @param x unsigned 256-bit integer number
   * @return quadruple precision number
   */
  function fromUInt (uint256 x) internal pure returns (bytes16) {
    if (x == 0) return bytes16 (0);
    else {
      uint256 result = x;

      uint256 msb = msb (result);
      if (msb < 112) result <<= 112 - msb;
      else if (msb > 112) result >>= msb - 112;

      result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;

      return bytes16 (uint128 (result));
    }
  }

  /**
   * Convert quadruple precision number into unsigned 256-bit integer number
   * rounding towards zero.  Revert on underflow.  Note, that negative floating
   * point numbers in range (-1.0 .. 0.0) may be converted to unsigned integer
   * without error, because they are rounded to zero.
   *
   * @param x quadruple precision number
   * @return unsigned 256-bit integer number
   */
  function toUInt (bytes16 x) internal pure returns (uint256) {
    uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

    if (exponent < 16383) return 0; // Underflow

    require (uint128 (x) < 0x80000000000000000000000000000000); // Negative

    require (exponent <= 16638); // Overflow
    uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
      0x10000000000000000000000000000;

    if (exponent < 16495) result >>= 16495 - exponent;
    else if (exponent > 16495) result <<= exponent - 16495;

    return result;
  }

  /**
   * Convert signed 128.128 bit fixed point number into quadruple precision
   * number.
   *
   * @param x signed 128.128 bit fixed point number
   * @return quadruple precision number
   */
  function from128x128 (int256 x) internal pure returns (bytes16) {
    if (x == 0) return bytes16 (0);
    else {
      // We rely on overflow behavior here
      uint256 result = uint256 (x > 0 ? x : -x);

      uint256 msb = msb (result);
      if (msb < 112) result <<= 112 - msb;
      else if (msb > 112) result >>= msb - 112;

      result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16255 + msb << 112;
      if (x < 0) result |= 0x80000000000000000000000000000000;

      return bytes16 (uint128 (result));
    }
  }

  /**
   * Convert quadruple precision number into signed 128.128 bit fixed point
   * number.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 128.128 bit fixed point number
   */
  function to128x128 (bytes16 x) internal pure returns (int256) {
    uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

    require (exponent <= 16510); // Overflow
    if (exponent < 16255) return 0; // Underflow

    uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
      0x10000000000000000000000000000;

    if (exponent < 16367) result >>= 16367 - exponent;
    else if (exponent > 16367) result <<= exponent - 16367;

    if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
      require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
      return -int256 (result); // We rely on overflow behavior here
    } else {
      require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
      return int256 (result);
    }
  }

  /**
   * Convert signed 64.64 bit fixed point number into quadruple precision
   * number.
   *
   * @param x signed 64.64 bit fixed point number
   * @return quadruple precision number
   */
  function from64x64 (int128 x) internal pure returns (bytes16) {
    if (x == 0) return bytes16 (0);
    else {
      // We rely on overflow behavior here
      uint256 result = uint128 (x > 0 ? x : -x);

      uint256 msb = msb (result);
      if (msb < 112) result <<= 112 - msb;
      else if (msb > 112) result >>= msb - 112;

      result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16319 + msb << 112;
      if (x < 0) result |= 0x80000000000000000000000000000000;

      return bytes16 (uint128 (result));
    }
  }

  /**
   * Convert quadruple precision number into signed 64.64 bit fixed point
   * number.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 64.64 bit fixed point number
   */
  function to64x64 (bytes16 x) internal pure returns (int128) {
    uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

    require (exponent <= 16446); // Overflow
    if (exponent < 16319) return 0; // Underflow

    uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
      0x10000000000000000000000000000;

    if (exponent < 16431) result >>= 16431 - exponent;
    else if (exponent > 16431) result <<= exponent - 16431;

    if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
      require (result <= 0x80000000000000000000000000000000);
      return -int128 (result); // We rely on overflow behavior here
    } else {
      require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
      return int128 (result);
    }
  }

  /**
   * Convert octuple precision number into quadruple precision number.
   *
   * @param x octuple precision number
   * @return quadruple precision number
   */
  function fromOctuple (bytes32 x) internal pure returns (bytes16) {
    bool negative = x & 0x8000000000000000000000000000000000000000000000000000000000000000 > 0;

    uint256 exponent = uint256 (x) >> 236 & 0x7FFFF;
    uint256 significand = uint256 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

    if (exponent == 0x7FFFF) {
      if (significand > 0) return NaN;
      else return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
    }

    if (exponent > 278526)
      return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
    else if (exponent < 245649)
      return negative ? NEGATIVE_ZERO : POSITIVE_ZERO;
    else if (exponent < 245761) {
      significand = (significand | 0x100000000000000000000000000000000000000000000000000000000000) >> 245885 - exponent;
      exponent = 0;
    } else {
      significand >>= 124;
      exponent -= 245760;
    }

    uint128 result = uint128 (significand | exponent << 112);
    if (negative) result |= 0x80000000000000000000000000000000;

    return bytes16 (result);
  }