/
ModSquares.sol
444 lines (332 loc) · 14.1 KB
/
ModSquares.sol
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pragma solidity ^0.4.7;
import "SequentialFunction";
contract ModSquaresShort is SequentialFunction{
function verify(bytes32 x,bytes32 y)returns (bool){
uint root=uint(x);
return bytes32(square(root,0))==y;
}
function square(uint root, uint round) returns (uint result){
assembly{
let prime:=93562206091353489197036529912283681953119642796574493316945928221464230509473
let n:=0
loop:
jumpi(loopend, eq(n, 5))
let nextFree:=mload(0x40)
mstore(0x40,add(nextFree,0x20))
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
n := add(n, 1)
jump(loop)
loopend:
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
root:=xor(sha3(nextFree,32),mulmod(root,root,prime))
round:=add(round,1)
mstore(nextFree,round)
result:=xor(sha3(nextFree,32),mulmod(root,root,prime))
}
}
}