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Diffstat (limited to 'CryptoPP/integer.h')
| -rw-r--r-- | CryptoPP/integer.h | 420 |
1 files changed, 0 insertions, 420 deletions
diff --git a/CryptoPP/integer.h b/CryptoPP/integer.h deleted file mode 100644 index 6d844fa57..000000000 --- a/CryptoPP/integer.h +++ /dev/null @@ -1,420 +0,0 @@ -#ifndef CRYPTOPP_INTEGER_H -#define CRYPTOPP_INTEGER_H - -/** \file */ - -#include "cryptlib.h" -#include "secblock.h" - -#include <iosfwd> -#include <algorithm> - -NAMESPACE_BEGIN(CryptoPP) - -struct InitializeInteger // used to initialize static variables -{ - InitializeInteger(); -}; - -typedef SecBlock<word, AllocatorWithCleanup<word, CRYPTOPP_BOOL_X86> > IntegerSecBlock; - -//! multiple precision integer and basic arithmetics -/*! This class can represent positive and negative integers - with absolute value less than (256**sizeof(word)) ** (256**sizeof(int)). - \nosubgrouping -*/ -class CRYPTOPP_DLL Integer : private InitializeInteger, public ASN1Object -{ -public: - //! \name ENUMS, EXCEPTIONS, and TYPEDEFS - //@{ - //! division by zero exception - class DivideByZero : public Exception - { - public: - DivideByZero() : Exception(OTHER_ERROR, "Integer: division by zero") {} - }; - - //! - class RandomNumberNotFound : public Exception - { - public: - RandomNumberNotFound() : Exception(OTHER_ERROR, "Integer: no integer satisfies the given parameters") {} - }; - - //! - enum Sign {POSITIVE=0, NEGATIVE=1}; - - //! - enum Signedness { - //! - UNSIGNED, - //! - SIGNED}; - - //! - enum RandomNumberType { - //! - ANY, - //! - PRIME}; - //@} - - //! \name CREATORS - //@{ - //! creates the zero integer - Integer(); - - //! copy constructor - Integer(const Integer& t); - - //! convert from signed long - Integer(signed long value); - - //! convert from lword - Integer(Sign s, lword value); - - //! convert from two words - Integer(Sign s, word highWord, word lowWord); - - //! convert from string - /*! str can be in base 2, 8, 10, or 16. Base is determined by a - case insensitive suffix of 'h', 'o', or 'b'. No suffix means base 10. - */ - explicit Integer(const char *str); - explicit Integer(const wchar_t *str); - - //! convert from big-endian byte array - Integer(const byte *encodedInteger, size_t byteCount, Signedness s=UNSIGNED); - - //! convert from big-endian form stored in a BufferedTransformation - Integer(BufferedTransformation &bt, size_t byteCount, Signedness s=UNSIGNED); - - //! convert from BER encoded byte array stored in a BufferedTransformation object - explicit Integer(BufferedTransformation &bt); - - //! create a random integer - /*! The random integer created is uniformly distributed over [0, 2**bitcount). */ - Integer(RandomNumberGenerator &rng, size_t bitcount); - - //! avoid calling constructors for these frequently used integers - static const Integer & CRYPTOPP_API Zero(); - //! avoid calling constructors for these frequently used integers - static const Integer & CRYPTOPP_API One(); - //! avoid calling constructors for these frequently used integers - static const Integer & CRYPTOPP_API Two(); - - //! create a random integer of special type - /*! Ideally, the random integer created should be uniformly distributed - over {x | min <= x <= max and x is of rnType and x % mod == equiv}. - However the actual distribution may not be uniform because sequential - search is used to find an appropriate number from a random starting - point. - May return (with very small probability) a pseudoprime when a prime - is requested and max > lastSmallPrime*lastSmallPrime (lastSmallPrime - is declared in nbtheory.h). - \throw RandomNumberNotFound if the set is empty. - */ - Integer(RandomNumberGenerator &rng, const Integer &min, const Integer &max, RandomNumberType rnType=ANY, const Integer &equiv=Zero(), const Integer &mod=One()); - - //! return the integer 2**e - static Integer CRYPTOPP_API Power2(size_t e); - //@} - - //! \name ENCODE/DECODE - //@{ - //! minimum number of bytes to encode this integer - /*! MinEncodedSize of 0 is 1 */ - size_t MinEncodedSize(Signedness=UNSIGNED) const; - //! encode in big-endian format - /*! unsigned means encode absolute value, signed means encode two's complement if negative. - if outputLen < MinEncodedSize, the most significant bytes will be dropped - if outputLen > MinEncodedSize, the most significant bytes will be padded - */ - void Encode(byte *output, size_t outputLen, Signedness=UNSIGNED) const; - //! - void Encode(BufferedTransformation &bt, size_t outputLen, Signedness=UNSIGNED) const; - - //! encode using Distinguished Encoding Rules, put result into a BufferedTransformation object - void DEREncode(BufferedTransformation &bt) const; - - //! encode absolute value as big-endian octet string - void DEREncodeAsOctetString(BufferedTransformation &bt, size_t length) const; - - //! encode absolute value in OpenPGP format, return length of output - size_t OpenPGPEncode(byte *output, size_t bufferSize) const; - //! encode absolute value in OpenPGP format, put result into a BufferedTransformation object - size_t OpenPGPEncode(BufferedTransformation &bt) const; - - //! - void Decode(const byte *input, size_t inputLen, Signedness=UNSIGNED); - //! - //* Precondition: bt.MaxRetrievable() >= inputLen - void Decode(BufferedTransformation &bt, size_t inputLen, Signedness=UNSIGNED); - - //! - void BERDecode(const byte *input, size_t inputLen); - //! - void BERDecode(BufferedTransformation &bt); - - //! decode nonnegative value as big-endian octet string - void BERDecodeAsOctetString(BufferedTransformation &bt, size_t length); - - class OpenPGPDecodeErr : public Exception - { - public: - OpenPGPDecodeErr() : Exception(INVALID_DATA_FORMAT, "OpenPGP decode error") {} - }; - - //! - void OpenPGPDecode(const byte *input, size_t inputLen); - //! - void OpenPGPDecode(BufferedTransformation &bt); - //@} - - //! \name ACCESSORS - //@{ - //! return true if *this can be represented as a signed long - bool IsConvertableToLong() const; - //! return equivalent signed long if possible, otherwise undefined - signed long ConvertToLong() const; - - //! number of significant bits = floor(log2(abs(*this))) + 1 - unsigned int BitCount() const; - //! number of significant bytes = ceiling(BitCount()/8) - unsigned int ByteCount() const; - //! number of significant words = ceiling(ByteCount()/sizeof(word)) - unsigned int WordCount() const; - - //! return the i-th bit, i=0 being the least significant bit - bool GetBit(size_t i) const; - //! return the i-th byte - byte GetByte(size_t i) const; - //! return n lowest bits of *this >> i - lword GetBits(size_t i, size_t n) const; - - //! - bool IsZero() const {return !*this;} - //! - bool NotZero() const {return !IsZero();} - //! - bool IsNegative() const {return sign == NEGATIVE;} - //! - bool NotNegative() const {return !IsNegative();} - //! - bool IsPositive() const {return NotNegative() && NotZero();} - //! - bool NotPositive() const {return !IsPositive();} - //! - bool IsEven() const {return GetBit(0) == 0;} - //! - bool IsOdd() const {return GetBit(0) == 1;} - //@} - - //! \name MANIPULATORS - //@{ - //! - Integer& operator=(const Integer& t); - - //! - Integer& operator+=(const Integer& t); - //! - Integer& operator-=(const Integer& t); - //! - Integer& operator*=(const Integer& t) {return *this = Times(t);} - //! - Integer& operator/=(const Integer& t) {return *this = DividedBy(t);} - //! - Integer& operator%=(const Integer& t) {return *this = Modulo(t);} - //! - Integer& operator/=(word t) {return *this = DividedBy(t);} - //! - Integer& operator%=(word t) {return *this = Integer(POSITIVE, 0, Modulo(t));} - - //! - Integer& operator<<=(size_t); - //! - Integer& operator>>=(size_t); - - //! - void Randomize(RandomNumberGenerator &rng, size_t bitcount); - //! - void Randomize(RandomNumberGenerator &rng, const Integer &min, const Integer &max); - //! set this Integer to a random element of {x | min <= x <= max and x is of rnType and x % mod == equiv} - /*! returns false if the set is empty */ - bool Randomize(RandomNumberGenerator &rng, const Integer &min, const Integer &max, RandomNumberType rnType, const Integer &equiv=Zero(), const Integer &mod=One()); - - bool GenerateRandomNoThrow(RandomNumberGenerator &rng, const NameValuePairs ¶ms = g_nullNameValuePairs); - void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs ¶ms = g_nullNameValuePairs) - { - if (!GenerateRandomNoThrow(rng, params)) - throw RandomNumberNotFound(); - } - - //! set the n-th bit to value - void SetBit(size_t n, bool value=1); - //! set the n-th byte to value - void SetByte(size_t n, byte value); - - //! - void Negate(); - //! - void SetPositive() {sign = POSITIVE;} - //! - void SetNegative() {if (!!(*this)) sign = NEGATIVE;} - - //! - void swap(Integer &a); - //@} - - //! \name UNARY OPERATORS - //@{ - //! - bool operator!() const; - //! - Integer operator+() const {return *this;} - //! - Integer operator-() const; - //! - Integer& operator++(); - //! - Integer& operator--(); - //! - Integer operator++(int) {Integer temp = *this; ++*this; return temp;} - //! - Integer operator--(int) {Integer temp = *this; --*this; return temp;} - //@} - - //! \name BINARY OPERATORS - //@{ - //! signed comparison - /*! \retval -1 if *this < a - \retval 0 if *this = a - \retval 1 if *this > a - */ - int Compare(const Integer& a) const; - - //! - Integer Plus(const Integer &b) const; - //! - Integer Minus(const Integer &b) const; - //! - Integer Times(const Integer &b) const; - //! - Integer DividedBy(const Integer &b) const; - //! - Integer Modulo(const Integer &b) const; - //! - Integer DividedBy(word b) const; - //! - word Modulo(word b) const; - - //! - Integer operator>>(size_t n) const {return Integer(*this)>>=n;} - //! - Integer operator<<(size_t n) const {return Integer(*this)<<=n;} - //@} - - //! \name OTHER ARITHMETIC FUNCTIONS - //@{ - //! - Integer AbsoluteValue() const; - //! - Integer Doubled() const {return Plus(*this);} - //! - Integer Squared() const {return Times(*this);} - //! extract square root, if negative return 0, else return floor of square root - Integer SquareRoot() const; - //! return whether this integer is a perfect square - bool IsSquare() const; - - //! is 1 or -1 - bool IsUnit() const; - //! return inverse if 1 or -1, otherwise return 0 - Integer MultiplicativeInverse() const; - - //! modular multiplication - CRYPTOPP_DLL friend Integer CRYPTOPP_API a_times_b_mod_c(const Integer &x, const Integer& y, const Integer& m); - //! modular exponentiation - CRYPTOPP_DLL friend Integer CRYPTOPP_API a_exp_b_mod_c(const Integer &x, const Integer& e, const Integer& m); - - //! calculate r and q such that (a == d*q + r) && (0 <= r < abs(d)) - static void CRYPTOPP_API Divide(Integer &r, Integer &q, const Integer &a, const Integer &d); - //! use a faster division algorithm when divisor is short - static void CRYPTOPP_API Divide(word &r, Integer &q, const Integer &a, word d); - - //! returns same result as Divide(r, q, a, Power2(n)), but faster - static void CRYPTOPP_API DivideByPowerOf2(Integer &r, Integer &q, const Integer &a, unsigned int n); - - //! greatest common divisor - static Integer CRYPTOPP_API Gcd(const Integer &a, const Integer &n); - //! calculate multiplicative inverse of *this mod n - Integer InverseMod(const Integer &n) const; - //! - word InverseMod(word n) const; - //@} - - //! \name INPUT/OUTPUT - //@{ - //! - friend CRYPTOPP_DLL std::istream& CRYPTOPP_API operator>>(std::istream& in, Integer &a); - //! - friend CRYPTOPP_DLL std::ostream& CRYPTOPP_API operator<<(std::ostream& out, const Integer &a); - //@} - -private: - friend class ModularArithmetic; - friend class MontgomeryRepresentation; - friend class HalfMontgomeryRepresentation; - - Integer(word value, size_t length); - - int PositiveCompare(const Integer &t) const; - friend void PositiveAdd(Integer &sum, const Integer &a, const Integer &b); - friend void PositiveSubtract(Integer &diff, const Integer &a, const Integer &b); - friend void PositiveMultiply(Integer &product, const Integer &a, const Integer &b); - friend void PositiveDivide(Integer &remainder, Integer "ient, const Integer ÷nd, const Integer &divisor); - - IntegerSecBlock reg; - Sign sign; -}; - -//! -inline bool operator==(const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)==0;} -//! -inline bool operator!=(const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)!=0;} -//! -inline bool operator> (const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)> 0;} -//! -inline bool operator>=(const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)>=0;} -//! -inline bool operator< (const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)< 0;} -//! -inline bool operator<=(const CryptoPP::Integer& a, const CryptoPP::Integer& b) {return a.Compare(b)<=0;} -//! -inline CryptoPP::Integer operator+(const CryptoPP::Integer &a, const CryptoPP::Integer &b) {return a.Plus(b);} -//! -inline CryptoPP::Integer operator-(const CryptoPP::Integer &a, const CryptoPP::Integer &b) {return a.Minus(b);} -//! -inline CryptoPP::Integer operator*(const CryptoPP::Integer &a, const CryptoPP::Integer &b) {return a.Times(b);} -//! -inline CryptoPP::Integer operator/(const CryptoPP::Integer &a, const CryptoPP::Integer &b) {return a.DividedBy(b);} -//! -inline CryptoPP::Integer operator%(const CryptoPP::Integer &a, const CryptoPP::Integer &b) {return a.Modulo(b);} -//! -inline CryptoPP::Integer operator/(const CryptoPP::Integer &a, CryptoPP::word b) {return a.DividedBy(b);} -//! -inline CryptoPP::word operator%(const CryptoPP::Integer &a, CryptoPP::word b) {return a.Modulo(b);} - -NAMESPACE_END - -#ifndef __BORLANDC__ -NAMESPACE_BEGIN(std) -inline void swap(CryptoPP::Integer &a, CryptoPP::Integer &b) -{ - a.swap(b); -} -NAMESPACE_END -#endif - -#endif |