文件 1 的 1:AABitcoinToken.sol
pragma solidity ^0.4.18;
library SafeMath {
function add(uint a, uint b) internal pure returns (uint c) {
c = a + b;
require(c >= a);
}
function sub(uint a, uint b) internal pure returns (uint c) {
require(b <= a);
c = a - b;
}
function mul(uint a, uint b) internal pure returns (uint c) {
c = a * b;
require(a == 0 || c / a == b);
}
function div(uint a, uint b) internal pure returns (uint c) {
require(b > 0);
c = a / b;
}
}
library ExtendedMath {
function limitLessThan(uint a, uint b) internal pure returns (uint c) {
if(a > b) return b;
return a;
}
}
contract ERC20Interface {
function totalSupply() public constant returns (uint);
function balanceOf(address tokenOwner) public constant returns (uint balance);
function allowance(address tokenOwner, address spender) public constant returns (uint remaining);
function transfer(address to, uint tokens) public returns (bool success);
function approve(address spender, uint tokens) public returns (bool success);
function transferFrom(address from, address to, uint tokens) public returns (bool success);
event Transfer(address indexed from, address indexed to, uint tokens);
event Approval(address indexed tokenOwner, address indexed spender, uint tokens);
}
contract ApproveAndCallFallBack {
function receiveApproval(address from, uint256 tokens, address token, bytes data) public;
}
contract Owned {
address public owner;
address public newOwner;
event OwnershipTransferred(address indexed _from, address indexed _to);
constructor() public {
owner = msg.sender;
}
modifier onlyOwner {
require(msg.sender == owner);
_;
}
function transferOwnership(address _newOwner) public onlyOwner {
newOwner = _newOwner;
}
function acceptOwnership() public {
require(msg.sender == newOwner);
emit OwnershipTransferred(owner, newOwner);
owner = newOwner;
newOwner = address(0);
}
}
contract AABitcoinToken is ERC20Interface, Owned {
using SafeMath for uint;
using ExtendedMath for uint;
string public symbol;
string public name;
uint8 public decimals;
uint public _totalSupply;
uint public latestDifficultyPeriodStarted;
uint public epochCount;
uint public _BLOCKS_PER_READJUSTMENT = 1024;
uint public _MINIMUM_TARGET = 2**16;
uint public _MAXIMUM_TARGET = 2**234;
uint public miningTarget;
bytes32 public challengeNumber;
uint public rewardEra;
uint public maxSupplyForEra;
address public lastRewardTo;
uint public lastRewardAmount;
uint public lastRewardEthBlockNumber;
bool locked = false;
mapping(bytes32 => bytes32) solutionForChallenge;
uint public tokensMinted;
uint internal GLOBAL_START_TIMER;
mapping(address => uint) balances;
mapping(address => mapping(address => uint)) allowed;
mapping(address => uint256) timer;
uint256 doubleUnit = (31536000) * 3.811;
event Mint(address indexed from, uint reward_amount, uint epochCount, bytes32 newChallengeNumber);
event PoS(address indexed from, uint reward_amount);
constructor()
public
onlyOwner()
{
symbol = "SKO";
name = "Skorch Token";
decimals = 8;
_totalSupply = 21000000 * 10**uint(decimals);
if(locked) revert();
locked = true;
tokensMinted = 0;
rewardEra = 0;
maxSupplyForEra = _totalSupply.div(2);
miningTarget = _MAXIMUM_TARGET;
latestDifficultyPeriodStarted = block.number;
GLOBAL_START_TIMER = now;
challengeNumber = 0x85d676fa25011d060e3c7405f6e55de1921372c788bfaaed75c00b63a63c510d;
epochCount = 6231;
rewardEra = 0;
maxSupplyForEra = _totalSupply - _totalSupply.div( 2**(rewardEra + 1));
miningTarget = 431359146674410236714672241392314090778194310760649159697657763988184;
balances[0xbf45f4280cfbe7c2d2515a7d984b8c71c15e82b7] = 2000 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xbf45f4280cfbe7c2d2515a7d984b8c71c15e82b7, 2000 * 10 ** uint(decimals));
balances[0xb38094d492af4fffff760707f36869713bfb2250] = 20050 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xb38094d492af4fffff760707f36869713bfb2250, 20050 * 10 ** uint(decimals));
balances[0x8f3dd21c9334980030ba95c37565ba25df9574cd] = 200 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x8f3dd21c9334980030ba95c37565ba25df9574cd, 200 * 10 ** uint(decimals));
balances[0xaa7a7c2decb180f68f11e975e6d92b5dc06083a6] = 1150 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xaa7a7c2decb180f68f11e975e6d92b5dc06083a6, 1150 * 10 ** uint(decimals));
balances[0x07a68bd44a526e09b8dbfc7085b265450362b61a] = 1000 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x07a68bd44a526e09b8dbfc7085b265450362b61a, 1000 * 10 ** uint(decimals));
balances[0x4e27a678c8dc883035c542c83124e7e3f39842b0] = 350 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x4e27a678c8dc883035c542c83124e7e3f39842b0, 350 * 10 ** uint(decimals));
balances[0x0102f6ca7278e7d96a6d649da30bfe07e87155a3] = 2800 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x0102f6ca7278e7d96a6d649da30bfe07e87155a3, 2800 * 10 ** uint(decimals));
balances[0xfc313f77c2cbc6cd0dd82b9a0ed1620ba906e46d] = 1900 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xfc313f77c2cbc6cd0dd82b9a0ed1620ba906e46d, 1900 * 10 ** uint(decimals));
balances[0xfec55e783595682141c4b5e6ad9ea605f1683844] = 100 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xfec55e783595682141c4b5e6ad9ea605f1683844, 100 * 10 ** uint(decimals));
balances[0x167e733de0861f0d61b179d3d1891e6b90587732] = 20200 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x167e733de0861f0d61b179d3d1891e6b90587732, 20200 * 10 ** uint(decimals));
balances[0x22dd964193df4de2e6954a2a9d9cbbd6f44f0b28] = 7650 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x22dd964193df4de2e6954a2a9d9cbbd6f44f0b28, 7650 * 10 ** uint(decimals));
balances[0xd2b752bec2fe5c7e5cc600eb5ce465a210cb857a] = 3750 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xd2b752bec2fe5c7e5cc600eb5ce465a210cb857a, 3750 * 10 ** uint(decimals));
balances[0xe14cffadb6bbad8de69bd5ba214441a9582ec548] = 700 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xe14cffadb6bbad8de69bd5ba214441a9582ec548, 700 * 10 ** uint(decimals));
balances[0xfe5a94e5bab010f52ae8fd8589b7d0a7b0b433ae] = 20000 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xfe5a94e5bab010f52ae8fd8589b7d0a7b0b433ae, 20000 * 10 ** uint(decimals));
balances[0xae7c95f2192c739edfb16412a6112a54f8965305] = 550 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xae7c95f2192c739edfb16412a6112a54f8965305, 550 * 10 ** uint(decimals));
balances[0x30385a99e66469a8c0bf172896758dd4595704a9] = 50 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x30385a99e66469a8c0bf172896758dd4595704a9, 50 * 10 ** uint(decimals));
balances[0x219fdb55ea364fcaf29aaa87fb1c45ba7db8128e] = 200 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x219fdb55ea364fcaf29aaa87fb1c45ba7db8128e, 200 * 10 ** uint(decimals));
balances[0xab4485ca338b91087a09ae8bc141648bb1c6e967] = 1100 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xab4485ca338b91087a09ae8bc141648bb1c6e967, 1100 * 10 ** uint(decimals));
balances[0xafaf9a165408737e11191393fe695c1ebc7a5429] = 35500 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xafaf9a165408737e11191393fe695c1ebc7a5429, 35500 * 10 ** uint(decimals));
balances[0xebd76aa221968b8ba9cdd6e6b4dbb889140088a3] = 3050 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xebd76aa221968b8ba9cdd6e6b4dbb889140088a3, 3050 * 10 ** uint(decimals));
balances[0x26b8c7606e828a509bbb208a0322cf960c17b225] = 4300 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x26b8c7606e828a509bbb208a0322cf960c17b225, 4300 * 10 ** uint(decimals));
balances[0x9b8957d1ac592bd388dcde346933ac1269b7c314] = 1050 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x9b8957d1ac592bd388dcde346933ac1269b7c314, 1050 * 10 ** uint(decimals));
balances[0xad9f11d1dd6d202243473a0cdae606308ab243b4] = 1000 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xad9f11d1dd6d202243473a0cdae606308ab243b4, 1000 * 10 ** uint(decimals));
balances[0x2f0d5a1d6bb5d7eaa0eaad39518621911a4a1d9f] = 200 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x2f0d5a1d6bb5d7eaa0eaad39518621911a4a1d9f, 200 * 10 ** uint(decimals));
balances[0xfbc2b315ac1fba765597a92ff100222425ce66fd] = 6000 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xfbc2b315ac1fba765597a92ff100222425ce66fd, 6000 * 10 ** uint(decimals));
balances[0x0a26d9674c2a1581ada4316e3f5960bb70fb0fb2] = 5100 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x0a26d9674c2a1581ada4316e3f5960bb70fb0fb2, 5100 * 10 ** uint(decimals));
balances[0xdc680cc11a535e45329f49566850668fef34054f] = 9750 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xdc680cc11a535e45329f49566850668fef34054f, 9750 * 10 ** uint(decimals));
balances[0x9fc5b0edc0309745c6974f1a6718029ea41a4d6e] = 400 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x9fc5b0edc0309745c6974f1a6718029ea41a4d6e, 400 * 10 ** uint(decimals));
balances[0xe0c059faabce16dd5ddb4817f427f5cf3b40f4c4] = 1800 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xe0c059faabce16dd5ddb4817f427f5cf3b40f4c4, 1800 * 10 ** uint(decimals));
balances[0x85d66f3a8da35f47e03d6bb51f51c2d70a61e12e] = 13200 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x85d66f3a8da35f47e03d6bb51f51c2d70a61e12e, 13200 * 10 ** uint(decimals));
balances[0xa5b3725e37431dc6a103961749cb9c98954202cd] = 4400 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xa5b3725e37431dc6a103961749cb9c98954202cd, 4400 * 10 ** uint(decimals));
balances[0xf3552d4018fad9fcc390f5684a243f7318d8b570] = 2500 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xf3552d4018fad9fcc390f5684a243f7318d8b570, 2500 * 10 ** uint(decimals));
balances[0x1fca39ed4f19edd12eb274dc467c099eb5106a13] = 2750 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x1fca39ed4f19edd12eb274dc467c099eb5106a13, 2750 * 10 ** uint(decimals));
balances[0xf95f528d7c25904f15d4154e45eab8e5d4b6c160] = 350 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xf95f528d7c25904f15d4154e45eab8e5d4b6c160, 350 * 10 ** uint(decimals));
balances[0xa62178f120cccba370d2d2d12ec6fb1ff276d706] = 20250 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xa62178f120cccba370d2d2d12ec6fb1ff276d706, 20250 * 10 ** uint(decimals));
balances[0xc446073e0c00a1138812b3a99a19df3cb8ace70d] = 20050 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xc446073e0c00a1138812b3a99a19df3cb8ace70d, 20050 * 10 ** uint(decimals));
balances[0xfcc6bf3369077e22a90e05ad567744bf5109e4d4] = 300 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xfcc6bf3369077e22a90e05ad567744bf5109e4d4, 300 * 10 ** uint(decimals));
balances[0x25e5c43d5f53ee1a7dd5ad7560348e29baea3048] = 50 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x25e5c43d5f53ee1a7dd5ad7560348e29baea3048, 50 * 10 ** uint(decimals));
balances[0x4d01d11697f00097064d7e05114ecd3843e82867] = 6050 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x4d01d11697f00097064d7e05114ecd3843e82867, 6050 * 10 ** uint(decimals));
balances[0xe585ba86b84283f0f1118041837b06d03b96885e] = 1350 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xe585ba86b84283f0f1118041837b06d03b96885e, 1350 * 10 ** uint(decimals));
balances[0x21a6043877a0ac376b7ca91195521de88d440eba] = 1600 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x21a6043877a0ac376b7ca91195521de88d440eba, 1600 * 10 ** uint(decimals));
balances[0xe8a01b61f80130aefda985ee2e9c6899a57a17c8] = 1750 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xe8a01b61f80130aefda985ee2e9c6899a57a17c8, 1750 * 10 ** uint(decimals));
balances[0x8d12a197cb00d4747a1fe03395095ce2a5cc6819] = 46800 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x8d12a197cb00d4747a1fe03395095ce2a5cc6819, 46800 * 10 ** uint(decimals));
balances[0xa1a3e2fcc1e7c805994ca7309f9a829908a18b4c] = 4100 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xa1a3e2fcc1e7c805994ca7309f9a829908a18b4c, 4100 * 10 ** uint(decimals));
balances[0x51138ab5497b2c3d85be94d23905f5ead9e533a7] = 50 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x51138ab5497b2c3d85be94d23905f5ead9e533a7, 50 * 10 ** uint(decimals));
balances[0x559a922941f84ebe6b9f0ed58e3b96530614237e] = 650 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x559a922941f84ebe6b9f0ed58e3b96530614237e, 650 * 10 ** uint(decimals));
balances[0xe539a7645d2f33103c89b5b03abb422a163b7c73] = 600 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xe539a7645d2f33103c89b5b03abb422a163b7c73, 600 * 10 ** uint(decimals));
balances[0x4ffe17a2a72bc7422cb176bc71c04ee6d87ce329] = 4300 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x4ffe17a2a72bc7422cb176bc71c04ee6d87ce329, 4300 * 10 ** uint(decimals));
balances[0x88058d4d90cc9d9471509e5be819b2be361b51c6] = 9450 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x88058d4d90cc9d9471509e5be819b2be361b51c6, 9450 * 10 ** uint(decimals));
balances[0x0000bb50ee5f5df06be902d1f9cb774949c337ed] = 1150 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0x0000bb50ee5f5df06be902d1f9cb774949c337ed, 1150 * 10 ** uint(decimals));
balances[0xd7dd80404d3d923c8a40c47c1f61aacbccb4191e] = 6450 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xd7dd80404d3d923c8a40c47c1f61aacbccb4191e, 6450 * 10 ** uint(decimals));
balances[0xf2119e50578b3dfa248652c4fbec76b9e415acb2] = 100 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xf2119e50578b3dfa248652c4fbec76b9e415acb2, 100 * 10 ** uint(decimals));
balances[0xd2470aacd96242207f06111819111d17ca055dfb] = 9450 * 10 ** uint(decimals);
emit Transfer(address(0x0), 0xd2470aacd96242207f06111819111d17ca055dfb, 9450 * 10 ** uint(decimals));
}
function mint(uint256 nonce, bytes32 challenge_digest) public returns (bool success) {
bytes32 digest = keccak256(challengeNumber, msg.sender, nonce );
if (digest != challenge_digest) revert();
if(uint256(digest) > miningTarget) revert();
bytes32 solution = solutionForChallenge[challengeNumber];
solutionForChallenge[challengeNumber] = digest;
if(solution != 0x0) revert();
_claimTokens(msg.sender);
timer[msg.sender]=now;
uint reward_amount = getMiningReward();
balances[msg.sender] = balances[msg.sender].add(reward_amount);
tokensMinted = tokensMinted.add(reward_amount);
assert(tokensMinted <= maxSupplyForEra);
lastRewardTo = msg.sender;
lastRewardAmount = reward_amount;
lastRewardEthBlockNumber = block.number;
_startNewMiningEpoch();
emit Mint(msg.sender, reward_amount, epochCount, challengeNumber );
emit Transfer(address(0x0), msg.sender, reward_amount);
return true;
}
function _startNewMiningEpoch() internal {
if( tokensMinted.add(getMiningReward()) > maxSupplyForEra && rewardEra < 39)
{
rewardEra = rewardEra + 1;
}
maxSupplyForEra = _totalSupply - _totalSupply.div( 2**(rewardEra + 1));
epochCount = epochCount.add(1);
if(epochCount % _BLOCKS_PER_READJUSTMENT == 0)
{
_reAdjustDifficulty();
}
challengeNumber = block.blockhash(block.number - 1);
}
function _reAdjustDifficulty() internal {
uint ethBlocksSinceLastDifficultyPeriod = block.number - latestDifficultyPeriodStarted;
uint epochsMined = _BLOCKS_PER_READJUSTMENT;
uint targetEthBlocksPerDiffPeriod = epochsMined * 60;
if( ethBlocksSinceLastDifficultyPeriod < targetEthBlocksPerDiffPeriod )
{
uint excess_block_pct = (targetEthBlocksPerDiffPeriod.mul(100)).div( ethBlocksSinceLastDifficultyPeriod );
uint excess_block_pct_extra = excess_block_pct.sub(100).limitLessThan(1000);
miningTarget = miningTarget.sub(miningTarget.div(2000).mul(excess_block_pct_extra));
}else{
uint shortage_block_pct = (ethBlocksSinceLastDifficultyPeriod.mul(100)).div( targetEthBlocksPerDiffPeriod );
uint shortage_block_pct_extra = shortage_block_pct.sub(100).limitLessThan(1000);
miningTarget = miningTarget.add(miningTarget.div(2000).mul(shortage_block_pct_extra));
}
latestDifficultyPeriodStarted = block.number;
if(miningTarget < _MINIMUM_TARGET)
{
miningTarget = _MINIMUM_TARGET;
}
if(miningTarget > _MAXIMUM_TARGET)
{
miningTarget = _MAXIMUM_TARGET;
}
}
function getChallengeNumber() public constant returns (bytes32) {
return challengeNumber;
}
function getMiningDifficulty() public constant returns (uint) {
return _MAXIMUM_TARGET.div(miningTarget);
}
function getMiningTarget() public constant returns (uint) {
return miningTarget;
}
function getMiningReward() public constant returns (uint) {
return (50 * 10**uint(decimals) ).div( 2**rewardEra ) ;
}
function getMintDigest(uint256 nonce, bytes32 challenge_digest, bytes32 challenge_number) public view returns (bytes32 digesttest) {
bytes32 digest = keccak256(challenge_number,msg.sender,nonce);
return digest;
}
function checkMintSolution(uint256 nonce, bytes32 challenge_digest, bytes32 challenge_number, uint testTarget) public view returns (bool success) {
bytes32 digest = keccak256(challenge_number,msg.sender,nonce);
if(uint256(digest) > testTarget) revert();
return (digest == challenge_digest);
}
function totalSupply() public constant returns (uint) {
return _totalSupply;
}
function balanceOf(address tokenOwner) public constant returns (uint balance) {
return balances[tokenOwner] + _getPoS(tokenOwner);
}
function transfer(address to, uint tokens) public returns (bool success) {
_claimTokens(msg.sender);
_claimTokens(to);
timer[msg.sender] = now;
timer[to] = now;
balances[msg.sender] = balances[msg.sender].sub(tokens);
balances[to] = balances[to].add(tokens);
emit Transfer(msg.sender, to, tokens);
return true;
}
function approve(address spender, uint tokens) public returns (bool success) {
allowed[msg.sender][spender] = tokens;
emit Approval(msg.sender, spender, tokens);
return true;
}
function transferFrom(address from, address to, uint tokens) public returns (bool success) {
_claimTokens(from);
_claimTokens(to);
timer[from] = now;
timer[to] = now;
balances[from] = balances[from].sub(tokens);
allowed[from][msg.sender] = allowed[from][msg.sender].sub(tokens);
balances[to] = balances[to].add(tokens);
emit Transfer(from, to, tokens);
return true;
}
function approveAndCall(address spender, uint tokens, bytes data) public returns (bool success) {
allowed[msg.sender][spender] = tokens;
emit Approval(msg.sender, spender, tokens);
ApproveAndCallFallBack(spender).receiveApproval(msg.sender, tokens, this, data);
return true;
}
function allowance(address tokenOwner, address spender) public constant returns (uint remaining) {
return allowed[tokenOwner][spender];
}
function () public payable {
revert();
}
function transferAnyERC20Token(address tokenAddress, uint tokens) public onlyOwner returns (bool success) {
return ERC20Interface(tokenAddress).transfer(owner, tokens);
}
function claimTokens() public {
_claimTokens(msg.sender);
timer[msg.sender] = now;
}
function _claimTokens(address target) internal{
if (timer[target] == 0){
if (balances[target] > 0){
}
else{
return;
}
}
if (timer[target] == now){
return;
}
uint256 totalTkn = _getPoS(target);
if (totalTkn > 0){
balances[target] = balances[target].add(totalTkn);
_totalSupply.add(totalTkn);
emit PoS(target, totalTkn);
}
emit Transfer(address(0x0), target, totalTkn);
}
function _getPoS(address target) internal view returns (uint256){
int ONE_SECOND = 0x10000000000000000;
uint TIME = timer[target];
if (TIME == 0){
TIME = GLOBAL_START_TIMER;
}
int PORTION_SCALED = (int(now - TIME) * ONE_SECOND) / int(doubleUnit);
uint256 exp = fixedExp(PORTION_SCALED);
return ((balances[target].mul(exp)) / uint(one)).sub(balances[target]);
}
int256 constant ln2 = 0x0b17217f7d1cf79ac;
int256 constant ln2_64dot5= 0x2cb53f09f05cc627c8;
int256 constant one = 0x10000000000000000;
int256 constant c2 = 0x02aaaaaaaaa015db0;
int256 constant c4 = -0x000b60b60808399d1;
int256 constant c6 = 0x0000455956bccdd06;
int256 constant c8 = -0x000001b893ad04b3a;
function fixedExp(int256 a) public pure returns (uint256 exp) {
int256 scale = (a + (ln2_64dot5)) / ln2 - 64;
a -= scale*ln2;
int256 z = (a*a) / one;
int256 R = ((int256)(2) * one) +
(z*(c2 + (z*(c4 + (z*(c6 + (z*c8/one))/one))/one))/one);
exp = (uint256) (((R + a) * one) / (R - a));
if (scale >= 0)
exp <<= scale;
else
exp >>= -scale;
return exp;
}
}