#ifndef BIGINTEGERUTILS_H #define BIGINTEGERUTILS_H #include "BigInteger.hh" #include #include /* This file provides: * - Convenient std::string <-> BigUnsigned/BigInteger conversion routines * - std::ostream << operators for BigUnsigned/BigInteger */ // std::string conversion routines. Base 10 only. std::string bigUnsignedToString(const BigUnsigned &x); std::string bigIntegerToString(const BigInteger &x); BigUnsigned stringToBigUnsigned(const std::string &s); BigInteger stringToBigInteger(const std::string &s); // Creates a BigInteger from data such as `char's; read below for details. template BigInteger dataToBigInteger(const T* data, BigInteger::Index length, BigInteger::Sign sign); // Outputs x to os, obeying the flags `dec', `hex', `bin', and `showbase'. std::ostream &operator <<(std::ostream &os, const BigUnsigned &x); // Outputs x to os, obeying the flags `dec', `hex', `bin', and `showbase'. // My somewhat arbitrary policy: a negative sign comes before a base indicator (like -0xFF). std::ostream &operator <<(std::ostream &os, const BigInteger &x); // BEGIN TEMPLATE DEFINITIONS. /* * Converts binary data to a BigInteger. * Pass an array `data', its length, and the desired sign. * * Elements of `data' may be of any type `T' that has the following * two properties (this includes almost all integral types): * * (1) `sizeof(T)' correctly gives the amount of binary data in one * value of `T' and is a factor of `sizeof(Blk)'. * * (2) When a value of `T' is casted to a `Blk', the low bytes of * the result contain the desired binary data. */ template BigInteger dataToBigInteger(const T* data, BigInteger::Index length, BigInteger::Sign sign) { // really ceiling(numBytes / sizeof(BigInteger::Blk)) unsigned int pieceSizeInBits = 8 * sizeof(T); unsigned int piecesPerBlock = sizeof(BigInteger::Blk) / sizeof(T); unsigned int numBlocks = (length + piecesPerBlock - 1) / piecesPerBlock; // Allocate our block array BigInteger::Blk *blocks = new BigInteger::Blk[numBlocks]; BigInteger::Index blockNum, pieceNum, pieceNumHere; // Convert for (blockNum = 0, pieceNum = 0; blockNum < numBlocks; blockNum++) { BigInteger::Blk curBlock = 0; for (pieceNumHere = 0; pieceNumHere < piecesPerBlock && pieceNum < length; pieceNumHere++, pieceNum++) curBlock |= (BigInteger::Blk(data[pieceNum]) << (pieceSizeInBits * pieceNumHere)); blocks[blockNum] = curBlock; } // Create the BigInteger. BigInteger x(blocks, numBlocks, sign); delete [] blocks; return x; } #endif