diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 0000000..fbd8ce1 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,3 @@ +[submodule "qt-openssl-encryption"] + path = qt-openssl-encryption + url = ssh://git@git.itsblue.de:2222/itsblue-development/qt-openssl-encryption.git diff --git a/Qt-Secret/GMP/.gitignore b/Qt-Secret/GMP/.gitignore deleted file mode 100644 index 84c048a..0000000 --- a/Qt-Secret/GMP/.gitignore +++ /dev/null @@ -1 +0,0 @@ -/build/ diff --git a/Qt-Secret/GMP/GMP.pri b/Qt-Secret/GMP/GMP.pri deleted file mode 100644 index 73112bb..0000000 --- a/Qt-Secret/GMP/GMP.pri +++ /dev/null @@ -1,24 +0,0 @@ -# -# Copyright (C) 2018-2019 QuasarApp. -# Distributed under the lgplv3 software license, see the accompanying -# Everyone is permitted to copy and distribute verbatim copies -# of this license document, but changing it is not allowed. -# - -!isEmpty(Qt_GMP_LIB):error("GMP.pri already included") -Qt_GMP_LIB = 1 - -DEFINES += MINIGMP_LIBRARY -DEFINES += QT_DEPRECATED_WARNINGS - -HEADERS += \ - $$PWD/bigint.h \ - $$PWD/mini-gmp.h \ - $$PWD/minigmp_global.h - -SOURCES += \ - $$PWD/bigint.cpp \ - $$PWD/mini-gmp.c - - -INCLUDEPATH += $$PWD diff --git a/Qt-Secret/GMP/GMP.pro b/Qt-Secret/GMP/GMP.pro deleted file mode 100644 index 12cb6d2..0000000 --- a/Qt-Secret/GMP/GMP.pro +++ /dev/null @@ -1,38 +0,0 @@ -# -# Copyright (C) 2018-2019 QuasarApp. -# Distributed under the lgplv3 software license, see the accompanying -# Everyone is permitted to copy and distribute verbatim copies -# of this license document, but changing it is not allowed. -# - - -QT -= core gui - -TARGET = MiniGMP -TEMPLATE = lib - -DEFINES += MINIGMP_LIBRARY -DEFINES += QT_DEPRECATED_WARNINGS - -TARGET = QtBigInt - -CONFIG += static -VERSION = 6.1.2 - -CONFIG(release, debug|release): { - DESTDIR="$$PWD/build/release" -} else { - DESTDIR="$$PWD/build/debug" -} - -DISTFILES += \ - README \ - -HEADERS += \ - bigint.h \ - mini-gmp.h \ - minigmp_global.h - -SOURCES += \ - bigint.cpp \ - mini-gmp.c diff --git a/Qt-Secret/GMP/LICENSE b/Qt-Secret/GMP/LICENSE deleted file mode 100644 index 450ca25..0000000 --- a/Qt-Secret/GMP/LICENSE +++ /dev/null @@ -1,21 +0,0 @@ -MIT License - -Copyright (c) 2019 QuasarApp - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. diff --git a/Qt-Secret/GMP/bigint.cpp b/Qt-Secret/GMP/bigint.cpp deleted file mode 100644 index 4287886..0000000 --- a/Qt-Secret/GMP/bigint.cpp +++ /dev/null @@ -1,618 +0,0 @@ -//# -//# Copyright (C) 2018-2019 QuasarApp. -//# Distributed under the lgplv3 software license, see the accompanying -//# Everyone is permitted to copy and distribute verbatim copies -//# of this license document, but changing it is not allowed. -//# - -#include "bigint.h" -#include -#include -#include - -// constructors -BigInt::BigInt() { - mpz_init(data); -} - -BigInt::BigInt(const BigInt &val, int bitCount) { - if (bitCount > 0) { - mpz_init2(data, static_cast(bitCount)); - } else { - mpz_init(data); - } - - mpz_set(data, val.data); - -} - -BigInt::BigInt(const std::string &str, int base): - BigInt() { - mpz_set_str(data, str.c_str(), base); -} - -BigInt::BigInt(intMpz val): - BigInt() { - mpz_set_si(data, val); -} - -BigInt::BigInt(char item, unsigned int size, int base = 2): - BigInt(std::string(size, item),base) { -} - -std::string BigInt::getString(int base) const { - char *str = mpz_get_str(nullptr, base, data); - return str; -} - -BigInt::~BigInt() { - mpz_clear(data); -} - -BigInt &BigInt::powm(const BigInt &pow, const BigInt &mod) { - mpz_powm(data, data, pow.data, mod.data); - return *this; -} - -BigInt BigInt::powm(BigInt val, const BigInt &pow, const BigInt &mod) { - return val.powm(pow, mod); -} - -BigInt &BigInt::pow(uIntMpz pow) { - mpz_pow_ui(data, data, pow); - return *this; -} - -int BigInt::sizeBits() const { - return sizeBytes() * 8; -} - -int BigInt::sizeBytes() const { - return static_cast(mpz_size(data) * sizeof ((*data->_mp_d))); -} - -int BigInt::longBits() const { - return static_cast(getString(2).size()); -} - -int BigInt::longBytes() const { - return static_cast(std::ceil(static_cast(longBits()) / 8)); -} - -#define GMP_ABS(x) ((x) >= 0 ? (x) : -(x)) -int BigInt::sizeType() const { - return static_cast(static_cast(GMP_ABS( data->_mp_alloc)) * - sizeof ((*data->_mp_d))); - -} - -bool BigInt::isPrime(bool absalut) const { - return (mpz_probab_prime_p(data, 50) - (absalut? 1: 0)) > 0; -} - -BigInt& BigInt::gcd(const BigInt &a, const BigInt &b) { - mpz_gcd(data, a.data, b.data); - return *this; - -} - -void BigInt::fromHex(const std::string &hex) { - mpz_set_str(data, hex.c_str(), 16); -} - -BigInt BigInt::bigPow10(unsigned short pow) { - return "1" + std::string(pow, '0'); -} - -BigInt &BigInt::toNegative() { - mpz_neg(data, data); - return *this; -} - -BigInt &BigInt::operator =(const BigInt &val) { - mpz_set(data, val.data); - return *this; -} - -BigInt &BigInt::operator =(const std::string &imput) { - mpz_set_str(data, imput.c_str(), 10); - return *this; -} - -BigInt &BigInt::operator =(intMpz val) { - mpz_set_si(data, val); - return *this; -} - -// add operators - -BigInt operator +(BigInt left, intMpz right) { - if (right >= 0) { - mpz_add_ui(left.data, left.data, static_cast(right)); - return left; - } - - return left -= std::abs(right); -} - -BigInt operator +(intMpz left, BigInt right) { - return right += left; -} - -BigInt operator +(BigInt left, const BigInt &right) { - mpz_add(left.data, left.data, right.data); - return left; -} - -BigInt operator +(BigInt left, const std::string &right) { - return left += BigInt(right); -} - -BigInt operator +(const std::string &left, const BigInt &right) { - return BigInt(left) + right; -} - -BigInt& operator +=(BigInt &left, intMpz right) { - if (right >= 0) { - mpz_add_ui(left.data, left.data, static_cast(right)); - return left; - } - return left -= std::abs(right); -} - -BigInt& operator +=(BigInt &left, const BigInt &right) { - mpz_add(left.data, left.data, right.data); - return left; -} - -BigInt& operator +=(BigInt &left, const std::string &right) { - return left += BigInt(right); -} - -// sub operators - -BigInt operator -(BigInt left, const BigInt &right) { - mpz_sub(left.data, left.data, right.data); - return left; -} - -BigInt operator -(BigInt left, intMpz right) { - if (right >= 0) { - mpz_sub_ui(left.data, left.data, static_cast(right)); - return left; - } - return left += std::abs(right); -} - -BigInt operator -(intMpz left, BigInt right) { - if (left >= 0) { - mpz_ui_sub(right.data, static_cast(left), right.data); - return right; - } - return right += std::abs(left); -} - -BigInt operator-(BigInt val) { - mpz_neg(val.data, val.data); - return val; -} - -BigInt operator -(BigInt left, const std::string &right) { - return left -= BigInt(right); -} - -BigInt operator -(const std::string & left, const BigInt &right) { - return BigInt(left) - right; -} - -BigInt& operator -=(BigInt &left, const BigInt &right) { - mpz_sub(left.data, left.data, right.data); - return left; -} - -BigInt& operator -=(BigInt &left, const std::string &right) { - return left -= BigInt(right); -} - -BigInt& operator -=(BigInt &left, intMpz right) { - if (right >= 0) { - mpz_sub_ui(left.data, left.data, static_cast(right)); - return left; - } - return left += std::abs(right); -} - -// div operators - -BigInt operator /(BigInt left, const BigInt &right) { - mpz_tdiv_q(left.data, left.data, right.data); - return left; -} - -BigInt operator /(BigInt left, intMpz right) { - mpz_tdiv_q_ui(left.data, left.data, static_cast(std::abs(right))); - - if (right >= 0) { - return left; - } - return -left; -} - -BigInt operator /(BigInt left, const std::string &right) { - return left /= BigInt(right); -} - -BigInt operator /(intMpz left, BigInt right) { - return BigInt(left) / right; -} - -BigInt operator /(const std::string & left, const BigInt &right) { - return BigInt(left) / right; -} - -BigInt& operator /=(BigInt &left, const BigInt &right) { - mpz_tdiv_q(left.data, left.data, right.data); - return left; -} - -BigInt& operator /=(BigInt &left, const std::string &right) { - return left /= BigInt(right); -} - -BigInt& operator /=(BigInt &left, intMpz right) { - mpz_tdiv_q_ui(left.data, left.data, static_cast(std::abs(right))); - - if (right >= 0) { - return left; - } - return left.toNegative(); -} - -// mul operators -BigInt operator *(BigInt left, const BigInt &right) { - mpz_mul(left.data, left.data, right.data); - return left; -} - -BigInt operator *(BigInt left, intMpz right) { - mpz_mul_ui(left.data, left.data, static_cast(std::abs(right))); - - if (right >= 0) { - return left; - } - return -left; -} - -BigInt operator *(intMpz left, BigInt right) { - return right *= left; -} - -BigInt operator *(const std::string & left, BigInt right) { - return right *= BigInt(left); -} - -BigInt operator *(BigInt left, const std::string &right) { - return left *= BigInt(right); -} - -BigInt& operator *=(BigInt &left, const BigInt &right) { - mpz_mul(left.data, left.data, right.data); - return left; -} - -BigInt& operator *=(BigInt &left, const std::string &right) { - return left *= BigInt(right); -} - -BigInt& operator *=(BigInt &left, intMpz right) { - mpz_mul_ui(left.data, left.data, static_cast(std::abs(right))); - - if (right >= 0) { - return left; - } - return left.toNegative(); -} - -//mod operations -BigInt operator %(BigInt left, const BigInt &right) { - mpz_tdiv_r(left.data, left.data, right.data); - return left; -} - -BigInt operator %(BigInt left, intMpz right) { - mpz_tdiv_r_ui(left.data, left.data, static_cast(std::abs(right))); - return left; -} - -BigInt operator %(intMpz left, BigInt right) { - return BigInt(left) % right; -} - -BigInt operator %(BigInt left, const std::string & right) { - return left %= BigInt(right); -} - -BigInt operator %(const std::string & left, const BigInt &right) { - return BigInt(left) % right; -} - -BigInt& operator %=(BigInt& left, const BigInt &right) { - mpz_tdiv_r(left.data, left.data, right.data); - return left; -} - -BigInt& operator %=(BigInt& left, intMpz right) { - mpz_tdiv_r_ui(left.data, left.data, static_cast(std::abs(right))); - return left; -} - -BigInt& operator %=(BigInt &left, const std::string &right) { - return left %= BigInt(right); -} - -// incriment and dicriment -BigInt &BigInt::operator--() { - *this -= 1; - return *this; -} - -BigInt &BigInt::operator++() { - *this += 1; - return *this; -} - -BigInt BigInt::operator--(int) { - BigInt temp(*this); - --*this; - return temp; -} - -BigInt BigInt::operator++(int) { - BigInt temp(*this); - ++*this; - return temp; -} - -// move operators - -BigInt operator >>(BigInt left, int right) { - if (right >= 0) { - mpn_rshift(left.data->_mp_d, - left.data->_mp_d, - left.data->_mp_size, - static_cast(std::abs(right))); - return left; - } - - return left << right; -} - -BigInt operator <<(BigInt left, int right) { - if (right >= 0) { - mpn_lshift(left.data->_mp_d, - left.data->_mp_d, - left.data->_mp_size, - static_cast(std::abs(right))); - return left; - } - - return left >> right; -} - -BigInt& operator >>=(BigInt &left, int right) { - if (right >= 0) { - mpn_rshift(left.data->_mp_d, - left.data->_mp_d, - left.data->_mp_size, - static_cast(std::abs(right))); - return left; - } - - return left <<= right; -} - -BigInt& operator <<=(BigInt &left, int right) { - if (right >= 0) { - mpn_lshift(left.data->_mp_d, - left.data->_mp_d, - left.data->_mp_size, - static_cast(std::abs(right))); - return left; - } - - return left >>= right; -} - -// other bin operators -BigInt operator ~(BigInt left) { - mpz_com(left.data, left.data); - return left; -} - -BigInt operator |(BigInt left, const BigInt &right) { - mpz_ior(left.data, left.data, right.data); - return left; -} - -BigInt operator |(const BigInt &left, intMpz right) { - return left | BigInt(right); -} - -BigInt& operator |=(BigInt &left, const BigInt &right) { - mpz_ior(left.data, left.data, right.data); - return left; -} - -BigInt& operator |=(BigInt &left, intMpz right) { - return left |= BigInt(right); -} - -BigInt operator &(BigInt left, const BigInt &right) { - mpz_and(left.data, left.data, right.data); - return left; -} - -BigInt operator &(const BigInt &left, intMpz right) { - return left & BigInt(right); -} - - -BigInt& operator &=(BigInt &left, const BigInt &right) { - mpz_and(left.data, left.data, right.data); - return left; -} - -BigInt& operator &=(BigInt &left, intMpz right) { - return left &= BigInt(right); -} - -BigInt operator ^(BigInt left, const BigInt &right) { - mpz_xor(left.data, left.data, right.data); - return left; -} - -BigInt operator ^(const BigInt &left, intMpz right) { - return left ^ BigInt(right); -} - -BigInt& operator ^=(BigInt &left, const BigInt &right) { - mpz_xor(left.data, left.data, right.data); - return left; -} - -BigInt& operator ^=(BigInt &left, intMpz right) { - return left ^= BigInt(right); -} - - -// logic operators - -bool operator!(const BigInt &val) { - return val == 0; -} - -bool operator == (const BigInt& left, const BigInt& right) { - return mpz_cmp(left.data, right.data) == 0; -} - -bool operator == (const BigInt& left, intMpz right) { - return mpz_cmp_si(left.data, right) == 0; -} - -bool operator == (const BigInt &left, const std::string &right) { - return left == BigInt(right); -} - -bool operator == ( intMpz left, const BigInt & right) { - return right == left; -} - -bool operator == ( const std::string & left, const BigInt & right) { - return right == BigInt(left); -} - -bool operator != (const BigInt &left, const BigInt& right) { - return !(left == right); -} - -bool operator != (const BigInt &left, intMpz right) { - return !(left == right); -} - -bool operator != (const BigInt &left, const std::string &right) { - return left != BigInt(right); -} - -bool operator != ( intMpz left, const BigInt & right) { - return right != left; -} - -bool operator != ( const std::string & left, const BigInt & right) { - return right != BigInt(left); -} - -bool operator < ( const BigInt &left, const BigInt& right) { - return mpz_cmp(left.data, right.data) < 0; -} - -bool operator < ( const BigInt &left, intMpz right) { - return mpz_cmp_si(left.data, right) < 0; -} - -bool operator < ( const BigInt &left, const std::string &right) { - return left < BigInt(right); -} - -bool operator < ( intMpz left, const BigInt & right) { - return right > left; -} - -bool operator < ( const std::string & left, const BigInt & right) { - return right > BigInt(left); -} - -bool operator > ( const BigInt &left, const BigInt& right) { - return mpz_cmp(left.data, right.data) > 0; -} - -bool operator > ( const BigInt &left, intMpz right) { - return mpz_cmp_si(left.data, right) > 0; -} - -bool operator > ( const BigInt &left, const std::string &right) { - return left > BigInt(right); -} - -bool operator > ( intMpz left, const BigInt & right) { - return right < left; -} - -bool operator > ( const std::string & left, const BigInt & right) { - return right < BigInt(left); -} - -bool operator <= ( const BigInt &left, const BigInt& right) { - return mpz_cmp(left.data, right.data) <= 0; -} - -bool operator <= ( const BigInt &left, intMpz right) { - return mpz_cmp_si(left.data, right) <= 0; -} - -bool operator <= ( const BigInt &left, const std::string &right) { - return left <= BigInt(right); -} - -bool operator <= ( intMpz left, const BigInt & right) { - return right >= left; -} - -bool operator <= ( const std::string & left, const BigInt & right) { - return right >= BigInt(left); -} - -bool operator >= ( const BigInt &left, const BigInt& right) { - return mpz_cmp(left.data, right.data) >= 0; -} - -bool operator >= ( const BigInt &left, intMpz right) { - return mpz_cmp_si(left.data, right) >= 0; -} - -bool operator >= ( const BigInt &left, const std::string &right) { - return left >= BigInt(right); -} - -bool operator >= ( intMpz left, const BigInt & right) { - return right <= left; -} - -bool operator >= ( const std::string & left, const BigInt & right) { - return right <= BigInt(left); -} - -//// cast operations - -//BigInt::operator bool() const { -// return *this != 0; -//} diff --git a/Qt-Secret/GMP/bigint.h b/Qt-Secret/GMP/bigint.h deleted file mode 100644 index 6a7d3a6..0000000 --- a/Qt-Secret/GMP/bigint.h +++ /dev/null @@ -1,206 +0,0 @@ -//# -//# Copyright (C) 2018-2019 QuasarApp. -//# Distributed under the lgplv3 software license, see the accompanying -//# Everyone is permitted to copy and distribute verbatim copies -//# of this license document, but changing it is not allowed. -//# - - -#ifndef BIGINT_H -#define BIGINT_H -#include "mini-gmp.h" -#include -#include -#include "minigmp_global.h" - -/** - * @brief The BigInt class - c++ minigmp wrapper - */ - -class MINIGMPSHARED_EXPORT BigInt -{ - mpz_t data; -public: - BigInt(); - BigInt(const BigInt& val, int bitCount = -1); - BigInt(const std::string &imput, int base = 10); - BigInt(intMpz val); - BigInt(char item, unsigned int size, int base); - - std::string getString(int base = 10) const; - ~BigInt(); - - BigInt& powm(const BigInt &pow, const BigInt &mod); - static BigInt powm(BigInt val, const BigInt & pow, const BigInt &mod); - - BigInt& pow(uIntMpz pow); - BigInt& log(int base); - /** - * @brief sizeBits - * @return size of bits in memory - */ - int sizeBits() const; - int sizeBytes() const; - - /** - * @brief longBits - * @return current length in Bits of number - */ - int longBits() const; - int longBytes() const; - - int sizeType() const; - bool isPrime(bool absalut = false) const; - BigInt& gcd(const BigInt &a, const BigInt &b); - void fromHex(const std::string& hex); - - /** - * @brief bigPow10 - * @param pow - * @return number 10 ^ pow - */ - static BigInt bigPow10(unsigned short pow); - - BigInt& toNegative(); - - BigInt& operator = (const BigInt& val); - BigInt& operator = (const std::string &imput); - BigInt& operator = (intMpz val); - - friend BigInt operator + ( BigInt left, const BigInt& right); - friend BigInt operator + ( BigInt left, const std::string &right); - friend BigInt operator + ( BigInt left, intMpz right); - - friend BigInt operator + ( intMpz left, BigInt right); - friend BigInt operator + ( const std::string &left, const BigInt &right); - - friend BigInt& operator += ( BigInt &left, intMpz right); - friend BigInt& operator += ( BigInt &left, const BigInt& right); - friend BigInt& operator += ( BigInt &left, const std::string &right); - - friend BigInt operator - ( BigInt left, const BigInt& right); - friend BigInt operator - ( BigInt left, intMpz right); - friend BigInt operator - ( BigInt left, const std::string &right); - - friend BigInt operator - ( intMpz right, BigInt left); - friend BigInt operator - ( const std::string &right, const BigInt &left); - - friend BigInt operator-(BigInt val); - - friend BigInt& operator -= ( BigInt &left, intMpz right); - - friend BigInt& operator -= ( BigInt &left, const BigInt& right); - friend BigInt& operator -= ( BigInt &left, const std::string &right); - - friend BigInt operator / ( BigInt left, const BigInt& right); - friend BigInt operator / ( BigInt left, const std::string &right); - friend BigInt operator / ( BigInt left, intMpz right); - friend BigInt operator / ( intMpz left, BigInt right); - friend BigInt operator / ( const std::string &left, const BigInt &right); - - friend BigInt& operator /= ( BigInt &left, intMpz right); - friend BigInt& operator /= ( BigInt &left, const std::string &right); - friend BigInt& operator /= ( BigInt &left, const BigInt& right); - - friend BigInt operator * ( BigInt left, const BigInt& right); - friend BigInt operator * ( BigInt left, const std::string &right); - friend BigInt operator * ( BigInt left, intMpz right); - - friend BigInt operator * ( intMpz left, BigInt right); - - friend BigInt& operator *= ( BigInt &left, const BigInt& right); - friend BigInt& operator *= ( BigInt &left, intMpz right); - friend BigInt& operator *= ( BigInt &left, const std::string &right); - - friend BigInt operator % ( BigInt left, const BigInt& right); - friend BigInt operator % ( BigInt left, const std::string &right); - friend BigInt operator % ( BigInt left, intMpz right); - - friend BigInt operator % ( intMpz left, BigInt right); - friend BigInt operator % ( const std::string & left, const BigInt &right); - - friend BigInt& operator %= ( BigInt &left, intMpz right); - friend BigInt& operator %= ( BigInt &left, const std::string &right); - - friend BigInt& operator %= ( BigInt &left, const BigInt& right); - - friend BigInt operator << ( BigInt left, int right); - friend BigInt operator >> ( BigInt left, int right); - - friend BigInt& operator <<= ( BigInt &left, int right); - friend BigInt& operator >>= ( BigInt &left, int right); - - friend bool operator == ( const BigInt& left, const BigInt& right); - friend bool operator == ( const BigInt& left, intMpz right); - friend bool operator == ( const BigInt& left, const std::string& right); - friend bool operator == ( const std::string& left, const BigInt& right); - friend bool operator == ( const BigInt& left, const std::string& right); - friend bool operator == ( intMpz left, const std::string& right); - - friend bool operator != ( const BigInt& left, const BigInt& right); - friend bool operator != ( const BigInt& left, intMpz right); - friend bool operator != ( const BigInt& left, const std::string& str); - friend bool operator != ( const std::string& left, const BigInt& right); - friend bool operator != ( const BigInt& left, const std::string& right); - friend bool operator != ( intMpz left, const std::string& right); - - friend bool operator < ( const BigInt& left, const BigInt& right); - friend bool operator < ( const BigInt& left, intMpz right); - friend bool operator < ( const BigInt& left, const std::string& str); - friend bool operator < ( const std::string& left, const BigInt& right); - friend bool operator < ( const BigInt& left, const std::string& right); - friend bool operator < ( intMpz left, const std::string& right); - - friend bool operator > ( const BigInt& left, const BigInt& right); - friend bool operator > ( const BigInt& left, intMpz right); - friend bool operator > ( const BigInt& left, const std::string& str); - friend bool operator > ( const std::string& left, const BigInt& right); - friend bool operator > ( const BigInt& left, const std::string& right); - friend bool operator > ( intMpz left, const std::string& right); - - friend bool operator <= ( const BigInt& left, const BigInt& right); - friend bool operator <= ( const BigInt& left, intMpz right); - friend bool operator <= ( const BigInt& left, const std::string& str); - friend bool operator <= ( const std::string& left, const BigInt& right); - friend bool operator <= ( const BigInt& left, const std::string& right); - friend bool operator <= ( intMpz left, const std::string& right); - - friend bool operator >= ( const BigInt& left, const BigInt& right); - friend bool operator >= ( const BigInt& left, intMpz right); - friend bool operator >= ( const BigInt& left, const std::string& str); - friend bool operator >= ( const std::string& left, const BigInt& right); - friend bool operator >= ( const BigInt& left, const std::string& right); - friend bool operator >= ( intMpz left, const std::string& right); - - friend bool operator!(const BigInt& val); - - BigInt& operator-- (); - BigInt& operator++ (); - - BigInt operator-- (int); - BigInt operator++ (int); - - - friend BigInt operator~ (BigInt val); - - friend BigInt operator| (BigInt left, const BigInt& right); - friend BigInt operator| (const BigInt &left, intMpz right); - - friend BigInt& operator|= (BigInt &left, const BigInt& right); - friend BigInt& operator|= (BigInt &left, intMpz right); - - friend BigInt operator& (BigInt left, const BigInt& right); - friend BigInt operator& (const BigInt &left, intMpz right); - - friend BigInt& operator&= (BigInt &left, const BigInt& right); - friend BigInt& operator&= (BigInt &left, intMpz right); - - friend BigInt operator^ (BigInt left, const BigInt& right); - friend BigInt operator^ (const BigInt &left, intMpz right); - - friend BigInt& operator^= (BigInt &left, const BigInt& right); - friend BigInt& operator^= (BigInt &left, intMpz right); - -}; - -#endif // BIGINT_H diff --git a/Qt-Secret/GMP/mini-gmp.c b/Qt-Secret/GMP/mini-gmp.c deleted file mode 100644 index f9d598b..0000000 --- a/Qt-Secret/GMP/mini-gmp.c +++ /dev/null @@ -1,4415 +0,0 @@ -/* mini-gmp, a minimalistic implementation of a GNU GMP subset. - - Contributed to the GNU project by Niels Möller - -Copyright 1991-1997, 1999-2016 Free Software Foundation, Inc. - -This file is part of the GNU MP Library. - -The GNU MP Library is free software; you can redistribute it and/or modify -it under the terms of either: - - * the GNU Lesser General Public License as published by the Free - Software Foundation; either version 3 of the License, or (at your - option) any later version. - -or - - * the GNU General Public License as published by the Free Software - Foundation; either version 2 of the License, or (at your option) any - later version. - -or both in parallel, as here. - -The GNU MP Library is distributed in the hope that it will be useful, but -WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -for more details. - -You should have received copies of the GNU General Public License and the -GNU Lesser General Public License along with the GNU MP Library. If not, -see https://www.gnu.org/licenses/. */ - -/* NOTE: All functions in this file which are not declared in - mini-gmp.h are internal, and are not intended to be compatible - neither with GMP nor with future versions of mini-gmp. */ - -/* Much of the material copied from GMP files, including: gmp-impl.h, - longlong.h, mpn/generic/add_n.c, mpn/generic/addmul_1.c, - mpn/generic/lshift.c, mpn/generic/mul_1.c, - mpn/generic/mul_basecase.c, mpn/generic/rshift.c, - mpn/generic/sbpi1_div_qr.c, mpn/generic/sub_n.c, - mpn/generic/submul_1.c. */ - -#include -#include -#include -#include -#include -#include - -#include "mini-gmp.h" - - -/* Macros */ -#define GMP_LIMB_BITS (sizeof(mp_limb_t) * CHAR_BIT) - -#define GMP_LIMB_MAX (~ (mp_limb_t) 0) -#define GMP_LIMB_HIGHBIT ((mp_limb_t) 1 << (GMP_LIMB_BITS - 1)) - -#define GMP_HLIMB_BIT ((mp_limb_t) 1 << (GMP_LIMB_BITS / 2)) -#define GMP_LLIMB_MASK (GMP_HLIMB_BIT - 1) - -#define GMP_ULONG_BITS (sizeof(uIntMpz) * CHAR_BIT) -#define GMP_ULONG_HIGHBIT ((uIntMpz) 1 << (GMP_ULONG_BITS - 1)) - -#define GMP_ABS(x) ((x) >= 0 ? (x) : -(x)) -#define GMP_NEG_CAST(T,x) (-((T)((x) + 1) - 1)) - -#define GMP_MIN(a, b) ((a) < (b) ? (a) : (b)) -#define GMP_MAX(a, b) ((a) > (b) ? (a) : (b)) - -#define GMP_CMP(a,b) (((a) > (b)) - ((a) < (b))) - -#define gmp_assert_nocarry(x) do { \ - mp_limb_t __cy = (x); \ - assert (__cy == 0); \ - } while (0) - -#define gmp_clz(count, x) do { \ - mp_limb_t __clz_x = (x); \ - unsigned __clz_c; \ - for (__clz_c = 0; \ - (__clz_x & ((mp_limb_t) 0xff << (GMP_LIMB_BITS - 8))) == 0; \ - __clz_c += 8) \ - __clz_x <<= 8; \ - for (; (__clz_x & GMP_LIMB_HIGHBIT) == 0; __clz_c++) \ - __clz_x <<= 1; \ - (count) = __clz_c; \ - } while (0) - -#define gmp_ctz(count, x) do { \ - mp_limb_t __ctz_x = (x); \ - unsigned __ctz_c = 0; \ - gmp_clz (__ctz_c, __ctz_x & - __ctz_x); \ - (count) = GMP_LIMB_BITS - 1 - __ctz_c; \ - } while (0) - -#define gmp_add_ssaaaa(sh, sl, ah, al, bh, bl) \ - do { \ - mp_limb_t __x; \ - __x = (al) + (bl); \ - (sh) = (ah) + (bh) + (__x < (al)); \ - (sl) = __x; \ - } while (0) - -#define gmp_sub_ddmmss(sh, sl, ah, al, bh, bl) \ - do { \ - mp_limb_t __x; \ - __x = (al) - (bl); \ - (sh) = (ah) - (bh) - ((al) < (bl)); \ - (sl) = __x; \ - } while (0) - -#define gmp_umul_ppmm(w1, w0, u, v) \ - do { \ - mp_limb_t __x0, __x1, __x2, __x3; \ - unsigned __ul, __vl, __uh, __vh; \ - mp_limb_t __u = (u), __v = (v); \ - \ - __ul = __u & GMP_LLIMB_MASK; \ - __uh = __u >> (GMP_LIMB_BITS / 2); \ - __vl = __v & GMP_LLIMB_MASK; \ - __vh = __v >> (GMP_LIMB_BITS / 2); \ - \ - __x0 = (mp_limb_t) __ul * __vl; \ - __x1 = (mp_limb_t) __ul * __vh; \ - __x2 = (mp_limb_t) __uh * __vl; \ - __x3 = (mp_limb_t) __uh * __vh; \ - \ - __x1 += __x0 >> (GMP_LIMB_BITS / 2);/* this can't give carry */ \ - __x1 += __x2; /* but this indeed can */ \ - if (__x1 < __x2) /* did we get it? */ \ - __x3 += GMP_HLIMB_BIT; /* yes, add it in the proper pos. */ \ - \ - (w1) = __x3 + (__x1 >> (GMP_LIMB_BITS / 2)); \ - (w0) = (__x1 << (GMP_LIMB_BITS / 2)) + (__x0 & GMP_LLIMB_MASK); \ - } while (0) - -#define gmp_udiv_qrnnd_preinv(q, r, nh, nl, d, di) \ - do { \ - mp_limb_t _qh, _ql, _r, _mask; \ - gmp_umul_ppmm (_qh, _ql, (nh), (di)); \ - gmp_add_ssaaaa (_qh, _ql, _qh, _ql, (nh) + 1, (nl)); \ - _r = (nl) - _qh * (d); \ - _mask = -(mp_limb_t) (_r > _ql); /* both > and >= are OK */ \ - _qh += _mask; \ - _r += _mask & (d); \ - if (_r >= (d)) \ - { \ - _r -= (d); \ - _qh++; \ - } \ - \ - (r) = _r; \ - (q) = _qh; \ - } while (0) - -#define gmp_udiv_qr_3by2(q, r1, r0, n2, n1, n0, d1, d0, dinv) \ - do { \ - mp_limb_t _q0, _t1, _t0, _mask; \ - gmp_umul_ppmm ((q), _q0, (n2), (dinv)); \ - gmp_add_ssaaaa ((q), _q0, (q), _q0, (n2), (n1)); \ - \ - /* Compute the two most significant limbs of n - q'd */ \ - (r1) = (n1) - (d1) * (q); \ - gmp_sub_ddmmss ((r1), (r0), (r1), (n0), (d1), (d0)); \ - gmp_umul_ppmm (_t1, _t0, (d0), (q)); \ - gmp_sub_ddmmss ((r1), (r0), (r1), (r0), _t1, _t0); \ - (q)++; \ - \ - /* Conditionally adjust q and the remainders */ \ - _mask = - (mp_limb_t) ((r1) >= _q0); \ - (q) += _mask; \ - gmp_add_ssaaaa ((r1), (r0), (r1), (r0), _mask & (d1), _mask & (d0)); \ - if ((r1) >= (d1)) \ - { \ - if ((r1) > (d1) || (r0) >= (d0)) \ - { \ - (q)++; \ - gmp_sub_ddmmss ((r1), (r0), (r1), (r0), (d1), (d0)); \ - } \ - } \ - } while (0) - -/* Swap macros. */ -#define MP_LIMB_T_SWAP(x, y) \ - do { \ - mp_limb_t __mp_limb_t_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mp_limb_t_swap__tmp; \ - } while (0) -#define MP_SIZE_T_SWAP(x, y) \ - do { \ - mp_size_t __mp_size_t_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mp_size_t_swap__tmp; \ - } while (0) -#define MP_BITCNT_T_SWAP(x,y) \ - do { \ - mp_bitcnt_t __mp_bitcnt_t_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mp_bitcnt_t_swap__tmp; \ - } while (0) -#define MP_PTR_SWAP(x, y) \ - do { \ - mp_ptr __mp_ptr_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mp_ptr_swap__tmp; \ - } while (0) -#define MP_SRCPTR_SWAP(x, y) \ - do { \ - mp_srcptr __mp_srcptr_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mp_srcptr_swap__tmp; \ - } while (0) - -#define MPN_PTR_SWAP(xp,xs, yp,ys) \ - do { \ - MP_PTR_SWAP (xp, yp); \ - MP_SIZE_T_SWAP (xs, ys); \ - } while(0) -#define MPN_SRCPTR_SWAP(xp,xs, yp,ys) \ - do { \ - MP_SRCPTR_SWAP (xp, yp); \ - MP_SIZE_T_SWAP (xs, ys); \ - } while(0) - -#define MPZ_PTR_SWAP(x, y) \ - do { \ - mpz_ptr __mpz_ptr_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mpz_ptr_swap__tmp; \ - } while (0) -#define MPZ_SRCPTR_SWAP(x, y) \ - do { \ - mpz_srcptr __mpz_srcptr_swap__tmp = (x); \ - (x) = (y); \ - (y) = __mpz_srcptr_swap__tmp; \ - } while (0) - -const int mp_bits_per_limb = GMP_LIMB_BITS; - - -/* Memory allocation and other helper functions. */ -static void -gmp_die (const char *msg) -{ - fprintf (stderr, "%s\n", msg); - abort(); -} - -static void * -gmp_default_alloc (size_t size) -{ - void *p; - - assert (size > 0); - - p = malloc (size); - if (!p) - gmp_die("gmp_default_alloc: Virtual memory exhausted."); - - return p; -} - -static void * -gmp_default_realloc (void *old, size_t old_size, size_t new_size) -{ - UN_USED(old_size); - - void * p; - - p = realloc (old, new_size); - - if (!p) - gmp_die("gmp_default_realloc: Virtual memory exhausted."); - - return p; -} - -static void -gmp_default_free (void *p, size_t size) -{ - UN_USED(size); - free (p); -} - -static void * (*gmp_allocate_func) (size_t) = gmp_default_alloc; -static void * (*gmp_reallocate_func) (void *, size_t, size_t) = gmp_default_realloc; -static void (*gmp_free_func) (void *, size_t) = gmp_default_free; - -void -mp_get_memory_functions (void *(**alloc_func) (size_t), - void *(**realloc_func) (void *, size_t, size_t), - void (**free_func) (void *, size_t)) -{ - if (alloc_func) - *alloc_func = gmp_allocate_func; - - if (realloc_func) - *realloc_func = gmp_reallocate_func; - - if (free_func) - *free_func = gmp_free_func; -} - -void -mp_set_memory_functions (void *(*alloc_func) (size_t), - void *(*realloc_func) (void *, size_t, size_t), - void (*free_func) (void *, size_t)) -{ - if (!alloc_func) - alloc_func = gmp_default_alloc; - if (!realloc_func) - realloc_func = gmp_default_realloc; - if (!free_func) - free_func = gmp_default_free; - - gmp_allocate_func = alloc_func; - gmp_reallocate_func = realloc_func; - gmp_free_func = free_func; -} - -#define gmp_xalloc(size) ((*gmp_allocate_func)((size))) -#define gmp_free(p) ((*gmp_free_func) ((p), 0)) - -static mp_ptr -gmp_xalloc_limbs (mp_size_t size) -{ - return (mp_ptr) gmp_xalloc (size * sizeof (mp_limb_t)); -} - -static mp_ptr -gmp_xrealloc_limbs (mp_ptr old, mp_size_t size) -{ - assert (size > 0); - return (mp_ptr) (*gmp_reallocate_func) (old, 0, size * sizeof (mp_limb_t)); -} - - -/* MPN interface */ - -void -mpn_copyi (mp_ptr d, mp_srcptr s, mp_size_t n) -{ - mp_size_t i; - for (i = 0; i < n; i++) - d[i] = s[i]; -} - -void -mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n) -{ - while (--n >= 0) - d[n] = s[n]; -} - -int -mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n) -{ - while (--n >= 0) - { - if (ap[n] != bp[n]) - return ap[n] > bp[n] ? 1 : -1; - } - return 0; -} - -static int -mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) -{ - if (an != bn) - return an < bn ? -1 : 1; - else - return mpn_cmp (ap, bp, an); -} - -static mp_size_t -mpn_normalized_size (mp_srcptr xp, mp_size_t n) -{ - while (n > 0 && xp[n-1] == 0) - --n; - return n; -} - -int -mpn_zero_p(mp_srcptr rp, mp_size_t n) -{ - return mpn_normalized_size (rp, n) == 0; -} - -void -mpn_zero (mp_ptr rp, mp_size_t n) -{ - while (--n >= 0) - rp[n] = 0; -} - -mp_limb_t -mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b) -{ - mp_size_t i; - - assert (n > 0); - i = 0; - do - { - mp_limb_t r = ap[i] + b; - /* Carry out */ - b = (r < b); - rp[i] = r; - } - while (++i < n); - - return b; -} - -mp_limb_t -mpn_add_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) -{ - mp_size_t i; - mp_limb_t cy; - - for (i = 0, cy = 0; i < n; i++) - { - mp_limb_t a, b, r; - a = ap[i]; b = bp[i]; - r = a + cy; - cy = (r < cy); - r += b; - cy += (r < b); - rp[i] = r; - } - return cy; -} - -mp_limb_t -mpn_add (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) -{ - mp_limb_t cy; - - assert (an >= bn); - - cy = mpn_add_n (rp, ap, bp, bn); - if (an > bn) - cy = mpn_add_1 (rp + bn, ap + bn, an - bn, cy); - return cy; -} - -mp_limb_t -mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b) -{ - mp_size_t i; - - assert (n > 0); - - i = 0; - do - { - mp_limb_t a = ap[i]; - /* Carry out */ - mp_limb_t cy = a < b; - rp[i] = a - b; - b = cy; - } - while (++i < n); - - return b; -} - -mp_limb_t -mpn_sub_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) -{ - mp_size_t i; - mp_limb_t cy; - - for (i = 0, cy = 0; i < n; i++) - { - mp_limb_t a, b; - a = ap[i]; b = bp[i]; - b += cy; - cy = (b < cy); - cy += (a < b); - rp[i] = a - b; - } - return cy; -} - -mp_limb_t -mpn_sub (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) -{ - mp_limb_t cy; - - assert (an >= bn); - - cy = mpn_sub_n (rp, ap, bp, bn); - if (an > bn) - cy = mpn_sub_1 (rp + bn, ap + bn, an - bn, cy); - return cy; -} - -mp_limb_t -mpn_mul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) -{ - mp_limb_t ul, cl, hpl, lpl; - - assert (n >= 1); - - cl = 0; - do - { - ul = *up++; - gmp_umul_ppmm (hpl, lpl, ul, vl); - - lpl += cl; - cl = (lpl < cl) + hpl; - - *rp++ = lpl; - } - while (--n != 0); - - return cl; -} - -mp_limb_t -mpn_addmul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) -{ - mp_limb_t ul, cl, hpl, lpl, rl; - - assert (n >= 1); - - cl = 0; - do - { - ul = *up++; - gmp_umul_ppmm (hpl, lpl, ul, vl); - - lpl += cl; - cl = (lpl < cl) + hpl; - - rl = *rp; - lpl = rl + lpl; - cl += lpl < rl; - *rp++ = lpl; - } - while (--n != 0); - - return cl; -} - -mp_limb_t -mpn_submul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) -{ - mp_limb_t ul, cl, hpl, lpl, rl; - - assert (n >= 1); - - cl = 0; - do - { - ul = *up++; - gmp_umul_ppmm (hpl, lpl, ul, vl); - - lpl += cl; - cl = (lpl < cl) + hpl; - - rl = *rp; - lpl = rl - lpl; - cl += lpl > rl; - *rp++ = lpl; - } - while (--n != 0); - - return cl; -} - -mp_limb_t -mpn_mul (mp_ptr rp, mp_srcptr up, mp_size_t un, mp_srcptr vp, mp_size_t vn) -{ - assert (un >= vn); - assert (vn >= 1); - - /* We first multiply by the low order limb. This result can be - stored, not added, to rp. We also avoid a loop for zeroing this - way. */ - - rp[un] = mpn_mul_1 (rp, up, un, vp[0]); - - /* Now accumulate the product of up[] and the next higher limb from - vp[]. */ - - while (--vn >= 1) - { - rp += 1, vp += 1; - rp[un] = mpn_addmul_1 (rp, up, un, vp[0]); - } - return rp[un]; -} - -void -mpn_mul_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) -{ - mpn_mul (rp, ap, n, bp, n); -} - -void -mpn_sqr (mp_ptr rp, mp_srcptr ap, mp_size_t n) -{ - mpn_mul (rp, ap, n, ap, n); -} - -mp_limb_t -mpn_lshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt) -{ - mp_limb_t high_limb, low_limb; - unsigned int tnc; - mp_limb_t retval; - - assert (n >= 1); - assert (cnt >= 1); - assert (cnt < GMP_LIMB_BITS); - - up += n; - rp += n; - - tnc = GMP_LIMB_BITS - cnt; - low_limb = *--up; - retval = low_limb >> tnc; - high_limb = (low_limb << cnt); - - while (--n != 0) - { - low_limb = *--up; - *--rp = high_limb | (low_limb >> tnc); - high_limb = (low_limb << cnt); - } - *--rp = high_limb; - - return retval; -} - -mp_limb_t -mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt) -{ - mp_limb_t high_limb, low_limb; - unsigned int tnc; - mp_limb_t retval; - - assert (n >= 1); - assert (cnt >= 1); - assert (cnt < GMP_LIMB_BITS); - - tnc = GMP_LIMB_BITS - cnt; - high_limb = *up++; - retval = (high_limb << tnc); - low_limb = high_limb >> cnt; - - while (--n != 0) - { - high_limb = *up++; - *rp++ = low_limb | (high_limb << tnc); - low_limb = high_limb >> cnt; - } - *rp = low_limb; - - return retval; -} - -static mp_bitcnt_t -mpn_common_scan (mp_limb_t limb, mp_size_t i, mp_srcptr up, mp_size_t un, - mp_limb_t ux) -{ - unsigned cnt; - - assert (ux == 0 || ux == GMP_LIMB_MAX); - assert (0 <= i && i <= un ); - - while (limb == 0) - { - i++; - if (i == un) - return (ux == 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS); - limb = ux ^ up[i]; - } - gmp_ctz (cnt, limb); - return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt; -} - -mp_bitcnt_t -mpn_scan1 (mp_srcptr ptr, mp_bitcnt_t bit) -{ - mp_size_t i; - i = bit / GMP_LIMB_BITS; - - return mpn_common_scan ( ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)), - i, ptr, i, 0); -} - -mp_bitcnt_t -mpn_scan0 (mp_srcptr ptr, mp_bitcnt_t bit) -{ - mp_size_t i; - i = bit / GMP_LIMB_BITS; - - return mpn_common_scan (~ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)), - i, ptr, i, GMP_LIMB_MAX); -} - -void -mpn_com (mp_ptr rp, mp_srcptr up, mp_size_t n) -{ - while (--n >= 0) - *rp++ = ~ *up++; -} - -mp_limb_t -mpn_neg (mp_ptr rp, mp_srcptr up, mp_size_t n) -{ - while (*up == 0) - { - *rp = 0; - if (!--n) - return 0; - ++up; ++rp; - } - *rp = - *up; - mpn_com (++rp, ++up, --n); - return 1; -} - - -/* MPN division interface. */ - -/* The 3/2 inverse is defined as - - m = floor( (B^3-1) / (B u1 + u0)) - B -*/ -mp_limb_t -mpn_invert_3by2 (mp_limb_t u1, mp_limb_t u0) -{ - mp_limb_t r, p, m, ql; - unsigned ul, uh, qh; - - assert (u1 >= GMP_LIMB_HIGHBIT); - - /* For notation, let b denote the half-limb base, so that B = b^2. - Split u1 = b uh + ul. */ - ul = u1 & GMP_LLIMB_MASK; - uh = u1 >> (GMP_LIMB_BITS / 2); - - /* Approximation of the high half of quotient. Differs from the 2/1 - inverse of the half limb uh, since we have already subtracted - u0. */ - qh = ~u1 / uh; - - /* Adjust to get a half-limb 3/2 inverse, i.e., we want - - qh' = floor( (b^3 - 1) / u) - b = floor ((b^3 - b u - 1) / u - = floor( (b (~u) + b-1) / u), - - and the remainder - - r = b (~u) + b-1 - qh (b uh + ul) - = b (~u - qh uh) + b-1 - qh ul - - Subtraction of qh ul may underflow, which implies adjustments. - But by normalization, 2 u >= B > qh ul, so we need to adjust by - at most 2. - */ - - r = ((~u1 - (mp_limb_t) qh * uh) << (GMP_LIMB_BITS / 2)) | GMP_LLIMB_MASK; - - p = (mp_limb_t) qh * ul; - /* Adjustment steps taken from udiv_qrnnd_c */ - if (r < p) - { - qh--; - r += u1; - if (r >= u1) /* i.e. we didn't get carry when adding to r */ - if (r < p) - { - qh--; - r += u1; - } - } - r -= p; - - /* Low half of the quotient is - - ql = floor ( (b r + b-1) / u1). - - This is a 3/2 division (on half-limbs), for which qh is a - suitable inverse. */ - - p = (r >> (GMP_LIMB_BITS / 2)) * qh + r; - /* Unlike full-limb 3/2, we can add 1 without overflow. For this to - work, it is essential that ql is a full mp_limb_t. */ - ql = (p >> (GMP_LIMB_BITS / 2)) + 1; - - /* By the 3/2 trick, we don't need the high half limb. */ - r = (r << (GMP_LIMB_BITS / 2)) + GMP_LLIMB_MASK - ql * u1; - - if (r >= (p << (GMP_LIMB_BITS / 2))) - { - ql--; - r += u1; - } - m = ((mp_limb_t) qh << (GMP_LIMB_BITS / 2)) + ql; - if (r >= u1) - { - m++; - r -= u1; - } - - /* Now m is the 2/1 invers of u1. If u0 > 0, adjust it to become a - 3/2 inverse. */ - if (u0 > 0) - { - mp_limb_t th, tl; - r = ~r; - r += u0; - if (r < u0) - { - m--; - if (r >= u1) - { - m--; - r -= u1; - } - r -= u1; - } - gmp_umul_ppmm (th, tl, u0, m); - r += th; - if (r < th) - { - m--; - m -= ((r > u1) | ((r == u1) & (tl > u0))); - } - } - - return m; -} - -struct gmp_div_inverse -{ - /* Normalization shift count. */ - unsigned shift; - /* Normalized divisor (d0 unused for mpn_div_qr_1) */ - mp_limb_t d1, d0; - /* Inverse, for 2/1 or 3/2. */ - mp_limb_t di; -}; - -static void -mpn_div_qr_1_invert (struct gmp_div_inverse *inv, mp_limb_t d) -{ - unsigned shift; - - assert (d > 0); - gmp_clz (shift, d); - inv->shift = shift; - inv->d1 = d << shift; - inv->di = mpn_invert_limb (inv->d1); -} - -static void -mpn_div_qr_2_invert (struct gmp_div_inverse *inv, - mp_limb_t d1, mp_limb_t d0) -{ - unsigned shift; - - assert (d1 > 0); - gmp_clz (shift, d1); - inv->shift = shift; - if (shift > 0) - { - d1 = (d1 << shift) | (d0 >> (GMP_LIMB_BITS - shift)); - d0 <<= shift; - } - inv->d1 = d1; - inv->d0 = d0; - inv->di = mpn_invert_3by2 (d1, d0); -} - -static void -mpn_div_qr_invert (struct gmp_div_inverse *inv, - mp_srcptr dp, mp_size_t dn) -{ - assert (dn > 0); - - if (dn == 1) - mpn_div_qr_1_invert (inv, dp[0]); - else if (dn == 2) - mpn_div_qr_2_invert (inv, dp[1], dp[0]); - else - { - unsigned shift; - mp_limb_t d1, d0; - - d1 = dp[dn-1]; - d0 = dp[dn-2]; - assert (d1 > 0); - gmp_clz (shift, d1); - inv->shift = shift; - if (shift > 0) - { - d1 = (d1 << shift) | (d0 >> (GMP_LIMB_BITS - shift)); - d0 = (d0 << shift) | (dp[dn-3] >> (GMP_LIMB_BITS - shift)); - } - inv->d1 = d1; - inv->d0 = d0; - inv->di = mpn_invert_3by2 (d1, d0); - } -} - -/* Not matching current public gmp interface, rather corresponding to - the sbpi1_div_* functions. */ -static mp_limb_t -mpn_div_qr_1_preinv (mp_ptr qp, mp_srcptr np, mp_size_t nn, - const struct gmp_div_inverse *inv) -{ - mp_limb_t d, di; - mp_limb_t r; - mp_ptr tp = NULL; - - if (inv->shift > 0) - { - tp = gmp_xalloc_limbs (nn); - r = mpn_lshift (tp, np, nn, inv->shift); - np = tp; - } - else - r = 0; - - d = inv->d1; - di = inv->di; - while (--nn >= 0) - { - mp_limb_t q; - - gmp_udiv_qrnnd_preinv (q, r, r, np[nn], d, di); - if (qp) - qp[nn] = q; - } - if (inv->shift > 0) - gmp_free (tp); - - return r >> inv->shift; -} - -static mp_limb_t -mpn_div_qr_1 (mp_ptr qp, mp_srcptr np, mp_size_t nn, mp_limb_t d) -{ - assert (d > 0); - - /* Special case for powers of two. */ - if ((d & (d-1)) == 0) - { - mp_limb_t r = np[0] & (d-1); - if (qp) - { - if (d <= 1) - mpn_copyi (qp, np, nn); - else - { - unsigned shift; - gmp_ctz (shift, d); - mpn_rshift (qp, np, nn, shift); - } - } - return r; - } - else - { - struct gmp_div_inverse inv; - mpn_div_qr_1_invert (&inv, d); - return mpn_div_qr_1_preinv (qp, np, nn, &inv); - } -} - -static void -mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn, - const struct gmp_div_inverse *inv) -{ - unsigned shift; - mp_size_t i; - mp_limb_t d1, d0, di, r1, r0; - mp_ptr tp; - - assert (nn >= 2); - shift = inv->shift; - d1 = inv->d1; - d0 = inv->d0; - di = inv->di; - - if (shift > 0) - { - tp = gmp_xalloc_limbs (nn); - r1 = mpn_lshift (tp, np, nn, shift); - np = tp; - } - else - r1 = 0; - - r0 = np[nn - 1]; - - i = nn - 2; - do - { - mp_limb_t n0, q; - n0 = np[i]; - gmp_udiv_qr_3by2 (q, r1, r0, r1, r0, n0, d1, d0, di); - - if (qp) - qp[i] = q; - } - while (--i >= 0); - - if (shift > 0) - { - assert ((r0 << (GMP_LIMB_BITS - shift)) == 0); - r0 = (r0 >> shift) | (r1 << (GMP_LIMB_BITS - shift)); - r1 >>= shift; - - gmp_free (tp); - } - - rp[1] = r1; - rp[0] = r0; -} - -#if 0 -static void -mpn_div_qr_2 (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn, - mp_limb_t d1, mp_limb_t d0) -{ - struct gmp_div_inverse inv; - assert (nn >= 2); - - mpn_div_qr_2_invert (&inv, d1, d0); - mpn_div_qr_2_preinv (qp, rp, np, nn, &inv); -} -#endif - -static void -mpn_div_qr_pi1 (mp_ptr qp, - mp_ptr np, mp_size_t nn, mp_limb_t n1, - mp_srcptr dp, mp_size_t dn, - mp_limb_t dinv) -{ - mp_size_t i; - - mp_limb_t d1, d0; - mp_limb_t cy, cy1; - mp_limb_t q; - - assert (dn > 2); - assert (nn >= dn); - - d1 = dp[dn - 1]; - d0 = dp[dn - 2]; - - assert ((d1 & GMP_LIMB_HIGHBIT) != 0); - /* Iteration variable is the index of the q limb. - * - * We divide - * by - */ - - i = nn - dn; - do - { - mp_limb_t n0 = np[dn-1+i]; - - if (n1 == d1 && n0 == d0) - { - q = GMP_LIMB_MAX; - mpn_submul_1 (np+i, dp, dn, q); - n1 = np[dn-1+i]; /* update n1, last loop's value will now be invalid */ - } - else - { - gmp_udiv_qr_3by2 (q, n1, n0, n1, n0, np[dn-2+i], d1, d0, dinv); - - cy = mpn_submul_1 (np + i, dp, dn-2, q); - - cy1 = n0 < cy; - n0 = n0 - cy; - cy = n1 < cy1; - n1 = n1 - cy1; - np[dn-2+i] = n0; - - if (cy != 0) - { - n1 += d1 + mpn_add_n (np + i, np + i, dp, dn - 1); - q--; - } - } - - if (qp) - qp[i] = q; - } - while (--i >= 0); - - np[dn - 1] = n1; -} - -static void -mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn, - mp_srcptr dp, mp_size_t dn, - const struct gmp_div_inverse *inv) -{ - assert (dn > 0); - assert (nn >= dn); - - if (dn == 1) - np[0] = mpn_div_qr_1_preinv (qp, np, nn, inv); - else if (dn == 2) - mpn_div_qr_2_preinv (qp, np, np, nn, inv); - else - { - mp_limb_t nh; - unsigned shift; - - assert (inv->d1 == dp[dn-1]); - assert (inv->d0 == dp[dn-2]); - assert ((inv->d1 & GMP_LIMB_HIGHBIT) != 0); - - shift = inv->shift; - if (shift > 0) - nh = mpn_lshift (np, np, nn, shift); - else - nh = 0; - - mpn_div_qr_pi1 (qp, np, nn, nh, dp, dn, inv->di); - - if (shift > 0) - gmp_assert_nocarry (mpn_rshift (np, np, dn, shift)); - } -} - -static void -mpn_div_qr (mp_ptr qp, mp_ptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn) -{ - struct gmp_div_inverse inv; - mp_ptr tp = NULL; - - assert (dn > 0); - assert (nn >= dn); - - mpn_div_qr_invert (&inv, dp, dn); - if (dn > 2 && inv.shift > 0) - { - tp = gmp_xalloc_limbs (dn); - gmp_assert_nocarry (mpn_lshift (tp, dp, dn, inv.shift)); - dp = tp; - } - mpn_div_qr_preinv (qp, np, nn, dp, dn, &inv); - if (tp) - gmp_free (tp); -} - - -/* MPN base conversion. */ -static unsigned -mpn_base_power_of_two_p (unsigned b) -{ - switch (b) - { - case 2: return 1; - case 4: return 2; - case 8: return 3; - case 16: return 4; - case 32: return 5; - case 64: return 6; - case 128: return 7; - case 256: return 8; - default: return 0; - } -} - -struct mpn_base_info -{ - /* bb is the largest power of the base which fits in one limb, and - exp is the corresponding exponent. */ - unsigned exp; - mp_limb_t bb; -}; - -static void -mpn_get_base_info (struct mpn_base_info *info, mp_limb_t b) -{ - mp_limb_t m; - mp_limb_t p; - unsigned exp; - - m = GMP_LIMB_MAX / b; - for (exp = 1, p = b; p <= m; exp++) - p *= b; - - info->exp = exp; - info->bb = p; -} - -static mp_bitcnt_t -mpn_limb_size_in_base_2 (mp_limb_t u) -{ - unsigned shift; - - assert (u > 0); - gmp_clz (shift, u); - return GMP_LIMB_BITS - shift; -} - -static size_t -mpn_get_str_bits (unsigned char *sp, unsigned bits, mp_srcptr up, mp_size_t un) -{ - unsigned char mask; - size_t sn, j; - mp_size_t i; - unsigned shift; - - sn = ((un - 1) * GMP_LIMB_BITS + mpn_limb_size_in_base_2 (up[un-1]) - + bits - 1) / bits; - - mask = (1U << bits) - 1; - - for (i = 0, j = sn, shift = 0; j-- > 0;) - { - unsigned char digit = up[i] >> shift; - - shift += bits; - - if (shift >= GMP_LIMB_BITS && ++i < un) - { - shift -= GMP_LIMB_BITS; - digit |= up[i] << (bits - shift); - } - sp[j] = digit & mask; - } - return sn; -} - -/* We generate digits from the least significant end, and reverse at - the end. */ -static size_t -mpn_limb_get_str (unsigned char *sp, mp_limb_t w, - const struct gmp_div_inverse *binv) -{ - mp_size_t i; - for (i = 0; w > 0; i++) - { - mp_limb_t h, l, r; - - h = w >> (GMP_LIMB_BITS - binv->shift); - l = w << binv->shift; - - gmp_udiv_qrnnd_preinv (w, r, h, l, binv->d1, binv->di); - assert ( (r << (GMP_LIMB_BITS - binv->shift)) == 0); - r >>= binv->shift; - - sp[i] = r; - } - return i; -} - -static size_t -mpn_get_str_other (unsigned char *sp, - int base, const struct mpn_base_info *info, - mp_ptr up, mp_size_t un) -{ - struct gmp_div_inverse binv; - size_t sn; - size_t i; - - mpn_div_qr_1_invert (&binv, base); - - sn = 0; - - if (un > 1) - { - struct gmp_div_inverse bbinv; - mpn_div_qr_1_invert (&bbinv, info->bb); - - do - { - mp_limb_t w; - size_t done; - w = mpn_div_qr_1_preinv (up, up, un, &bbinv); - un -= (up[un-1] == 0); - done = mpn_limb_get_str (sp + sn, w, &binv); - - for (sn += done; done < info->exp; done++) - sp[sn++] = 0; - } - while (un > 1); - } - sn += mpn_limb_get_str (sp + sn, up[0], &binv); - - /* Reverse order */ - for (i = 0; 2*i + 1 < sn; i++) - { - unsigned char t = sp[i]; - sp[i] = sp[sn - i - 1]; - sp[sn - i - 1] = t; - } - - return sn; -} - -size_t -mpn_get_str (unsigned char *sp, int base, mp_ptr up, mp_size_t un) -{ - unsigned bits; - - assert (un > 0); - assert (up[un-1] > 0); - - bits = mpn_base_power_of_two_p (base); - if (bits) - return mpn_get_str_bits (sp, bits, up, un); - else - { - struct mpn_base_info info; - - mpn_get_base_info (&info, base); - return mpn_get_str_other (sp, base, &info, up, un); - } -} - -static mp_size_t -mpn_set_str_bits (mp_ptr rp, const unsigned char *sp, size_t sn, - unsigned bits) -{ - mp_size_t rn; - size_t j; - unsigned shift; - - for (j = sn, rn = 0, shift = 0; j-- > 0; ) - { - if (shift == 0) - { - rp[rn++] = sp[j]; - shift += bits; - } - else - { - rp[rn-1] |= (mp_limb_t) sp[j] << shift; - shift += bits; - if (shift >= GMP_LIMB_BITS) - { - shift -= GMP_LIMB_BITS; - if (shift > 0) - rp[rn++] = (mp_limb_t) sp[j] >> (bits - shift); - } - } - } - rn = mpn_normalized_size (rp, rn); - return rn; -} - -/* Result is usually normalized, except for all-zero input, in which - case a single zero limb is written at *RP, and 1 is returned. */ -static mp_size_t -mpn_set_str_other (mp_ptr rp, const unsigned char *sp, size_t sn, - mp_limb_t b, const struct mpn_base_info *info) -{ - mp_size_t rn; - mp_limb_t w; - unsigned k; - size_t j; - - assert (sn > 0); - - k = 1 + (sn - 1) % info->exp; - - j = 0; - w = sp[j++]; - while (--k != 0) - w = w * b + sp[j++]; - - rp[0] = w; - - for (rn = 1; j < sn;) - { - mp_limb_t cy; - - w = sp[j++]; - for (k = 1; k < info->exp; k++) - w = w * b + sp[j++]; - - cy = mpn_mul_1 (rp, rp, rn, info->bb); - cy += mpn_add_1 (rp, rp, rn, w); - if (cy > 0) - rp[rn++] = cy; - } - assert (j == sn); - - return rn; -} - -mp_size_t -mpn_set_str (mp_ptr rp, const unsigned char *sp, size_t sn, int base) -{ - unsigned bits; - - if (sn == 0) - return 0; - - bits = mpn_base_power_of_two_p (base); - if (bits) - return mpn_set_str_bits (rp, sp, sn, bits); - else - { - struct mpn_base_info info; - - mpn_get_base_info (&info, base); - return mpn_set_str_other (rp, sp, sn, base, &info); - } -} - - -/* MPZ interface */ -void -mpz_init (mpz_t r) -{ - static const mp_limb_t dummy_limb = 0xc1a0; - - r->_mp_alloc = 0; - r->_mp_size = 0; - r->_mp_d = (mp_ptr) &dummy_limb; -} - -/* The utility of this function is a bit limited, since many functions - assigns the result variable using mpz_swap. */ -void -mpz_init2 (mpz_t r, mp_bitcnt_t bits) -{ - mp_size_t rn; - - bits -= (bits != 0); /* Round down, except if 0 */ - rn = 1 + bits / GMP_LIMB_BITS; - - r->_mp_alloc = rn; - r->_mp_size = 0; - r->_mp_d = gmp_xalloc_limbs (rn); -} - -void -mpz_clear (mpz_t r) -{ - if (r->_mp_alloc) - gmp_free (r->_mp_d); -} - -static mp_ptr -mpz_realloc (mpz_t r, mp_size_t size) -{ - size = GMP_MAX (size, 1); - - if (r->_mp_alloc) - r->_mp_d = gmp_xrealloc_limbs (r->_mp_d, size); - else - r->_mp_d = gmp_xalloc_limbs (size); - r->_mp_alloc = size; - - if (GMP_ABS (r->_mp_size) > size) - r->_mp_size = 0; - - return r->_mp_d; -} - -/* Realloc for an mpz_t WHAT if it has less than NEEDED limbs. */ -#define MPZ_REALLOC(z,n) ((n) > (z)->_mp_alloc \ - ? mpz_realloc(z,n) \ - : (z)->_mp_d) - -/* MPZ assignment and basic conversions. */ -void -mpz_set_si (mpz_t r, intMpz x) -{ - if (x >= 0) - mpz_set_ui (r, x); - else /* (x < 0) */ - { - r->_mp_size = -1; - MPZ_REALLOC (r, 1)[0] = GMP_NEG_CAST (uIntMpz, x); - } -} - -void -mpz_set_ui (mpz_t r, uIntMpz x) -{ - if (x > 0) - { - r->_mp_size = 1; - MPZ_REALLOC (r, 1)[0] = x; - } - else - r->_mp_size = 0; -} - -void -mpz_set (mpz_t r, const mpz_t x) -{ - /* Allow the NOP r == x */ - if (r != x) - { - mp_size_t n; - mp_ptr rp; - - n = GMP_ABS (x->_mp_size); - rp = MPZ_REALLOC (r, n); - - mpn_copyi (rp, x->_mp_d, n); - r->_mp_size = x->_mp_size; - } -} - -void -mpz_init_set_si (mpz_t r, intMpz x) -{ - mpz_init (r); - mpz_set_si (r, x); -} - -void -mpz_init_set_ui (mpz_t r, uIntMpz x) -{ - mpz_init (r); - mpz_set_ui (r, x); -} - -void -mpz_init_set (mpz_t r, const mpz_t x) -{ - mpz_init (r); - mpz_set (r, x); -} - -int -mpz_fits_slong_p (const mpz_t u) -{ - mp_size_t us = u->_mp_size; - - if (us == 1) - return u->_mp_d[0] < GMP_LIMB_HIGHBIT; - else if (us == -1) - return u->_mp_d[0] <= GMP_LIMB_HIGHBIT; - else - return (us == 0); -} - -int -mpz_fits_ulong_p (const mpz_t u) -{ - mp_size_t us = u->_mp_size; - - return (us == (us > 0)); -} - - intMpz -mpz_get_si (const mpz_t u) -{ - if (u->_mp_size < 0) - /* This expression is necessary to properly handle 0x80000000 */ - return -1 - (long) ((u->_mp_d[0] - 1) & ~GMP_LIMB_HIGHBIT); - else - return (long) (mpz_get_ui (u) & ~GMP_LIMB_HIGHBIT); -} - -uIntMpz -mpz_get_ui (const mpz_t u) -{ - return u->_mp_size == 0 ? 0 : u->_mp_d[0]; -} - -size_t -mpz_size (const mpz_t u) -{ - return GMP_ABS (u->_mp_size); -} - -mp_limb_t -mpz_getlimbn (const mpz_t u, mp_size_t n) -{ - if (n >= 0 && n < GMP_ABS (u->_mp_size)) - return u->_mp_d[n]; - else - return 0; -} - -void -mpz_realloc2 (mpz_t x, mp_bitcnt_t n) -{ - mpz_realloc (x, 1 + (n - (n != 0)) / GMP_LIMB_BITS); -} - -mp_srcptr -mpz_limbs_read (mpz_srcptr x) -{ - return x->_mp_d; -} - -mp_ptr -mpz_limbs_modify (mpz_t x, mp_size_t n) -{ - assert (n > 0); - return MPZ_REALLOC (x, n); -} - -mp_ptr -mpz_limbs_write (mpz_t x, mp_size_t n) -{ - return mpz_limbs_modify (x, n); -} - -void -mpz_limbs_finish (mpz_t x, mp_size_t xs) -{ - mp_size_t xn; - xn = mpn_normalized_size (x->_mp_d, GMP_ABS (xs)); - x->_mp_size = xs < 0 ? -xn : xn; -} - -mpz_srcptr -mpz_roinit_n (mpz_t x, mp_srcptr xp, mp_size_t xs) -{ - x->_mp_alloc = 0; - x->_mp_d = (mp_ptr) xp; - mpz_limbs_finish (x, xs); - return x; -} - - -/* Conversions and comparison to double. */ -void -mpz_set_d (mpz_t r, double x) -{ - int sign; - mp_ptr rp; - mp_size_t rn, i; - double B; - double Bi; - mp_limb_t f; - - /* x != x is true when x is a NaN, and x == x * 0.5 is true when x is - zero or infinity. */ - if (x != x || x == x * 0.5) - { - r->_mp_size = 0; - return; - } - - sign = x < 0.0 ; - if (sign) - x = - x; - - if (x < 1.0) - { - r->_mp_size = 0; - return; - } - B = 2.0 * (double) GMP_LIMB_HIGHBIT; - Bi = 1.0 / B; - for (rn = 1; x >= B; rn++) - x *= Bi; - - rp = MPZ_REALLOC (r, rn); - - f = (mp_limb_t) x; - x -= f; - assert (x < 1.0); - i = rn-1; - rp[i] = f; - while (--i >= 0) - { - x = B * x; - f = (mp_limb_t) x; - x -= f; - assert (x < 1.0); - rp[i] = f; - } - - r->_mp_size = sign ? - rn : rn; -} - -void -mpz_init_set_d (mpz_t r, double x) -{ - mpz_init (r); - mpz_set_d (r, x); -} - -double -mpz_get_d (const mpz_t u) -{ - mp_size_t un; - double x; - double B = 2.0 * (double) GMP_LIMB_HIGHBIT; - - un = GMP_ABS (u->_mp_size); - - if (un == 0) - return 0.0; - - x = u->_mp_d[--un]; - while (un > 0) - x = B*x + u->_mp_d[--un]; - - if (u->_mp_size < 0) - x = -x; - - return x; -} - -int -mpz_cmpabs_d (const mpz_t x, double d) -{ - mp_size_t xn; - double B, Bi; - mp_size_t i; - - xn = x->_mp_size; - d = GMP_ABS (d); - - if (xn != 0) - { - xn = GMP_ABS (xn); - - B = 2.0 * (double) GMP_LIMB_HIGHBIT; - Bi = 1.0 / B; - - /* Scale d so it can be compared with the top limb. */ - for (i = 1; i < xn; i++) - d *= Bi; - - if (d >= B) - return -1; - - /* Compare floor(d) to top limb, subtract and cancel when equal. */ - for (i = xn; i-- > 0;) - { - mp_limb_t f, xl; - - f = (mp_limb_t) d; - xl = x->_mp_d[i]; - if (xl > f) - return 1; - else if (xl < f) - return -1; - d = B * (d - f); - } - } - return - (d > 0.0); -} - -int -mpz_cmp_d (const mpz_t x, double d) -{ - if (x->_mp_size < 0) - { - if (d >= 0.0) - return -1; - else - return -mpz_cmpabs_d (x, d); - } - else - { - if (d < 0.0) - return 1; - else - return mpz_cmpabs_d (x, d); - } -} - - -/* MPZ comparisons and the like. */ -int -mpz_sgn (const mpz_t u) -{ - return GMP_CMP (u->_mp_size, 0); -} - -int -mpz_cmp_si (const mpz_t u, intMpz v) -{ - mp_size_t usize = u->_mp_size; - - if (usize < -1) - return -1; - else if (v >= 0) - return mpz_cmp_ui (u, v); - else if (usize >= 0) - return 1; - else /* usize == -1 */ - return GMP_CMP (GMP_NEG_CAST (mp_limb_t, v), u->_mp_d[0]); -} - -int -mpz_cmp_ui (const mpz_t u, uIntMpz v) -{ - mp_size_t usize = u->_mp_size; - - if (usize > 1) - return 1; - else if (usize < 0) - return -1; - else - return GMP_CMP (mpz_get_ui (u), v); -} - -int -mpz_cmp (const mpz_t a, const mpz_t b) -{ - mp_size_t asize = a->_mp_size; - mp_size_t bsize = b->_mp_size; - - if (asize != bsize) - return (asize < bsize) ? -1 : 1; - else if (asize >= 0) - return mpn_cmp (a->_mp_d, b->_mp_d, asize); - else - return mpn_cmp (b->_mp_d, a->_mp_d, -asize); -} - -int -mpz_cmpabs_ui (const mpz_t u, uIntMpz v) -{ - if (GMP_ABS (u->_mp_size) > 1) - return 1; - else - return GMP_CMP (mpz_get_ui (u), v); -} - -int -mpz_cmpabs (const mpz_t u, const mpz_t v) -{ - return mpn_cmp4 (u->_mp_d, GMP_ABS (u->_mp_size), - v->_mp_d, GMP_ABS (v->_mp_size)); -} - -void -mpz_abs (mpz_t r, const mpz_t u) -{ - mpz_set (r, u); - r->_mp_size = GMP_ABS (r->_mp_size); -} - -void -mpz_neg (mpz_t r, const mpz_t u) -{ - mpz_set (r, u); - r->_mp_size = -r->_mp_size; -} - -void -mpz_swap (mpz_t u, mpz_t v) -{ - MP_SIZE_T_SWAP (u->_mp_size, v->_mp_size); - MP_SIZE_T_SWAP (u->_mp_alloc, v->_mp_alloc); - MP_PTR_SWAP (u->_mp_d, v->_mp_d); -} - - -/* MPZ addition and subtraction */ - -/* Adds to the absolute value. Returns new size, but doesn't store it. */ -static mp_size_t -mpz_abs_add_ui (mpz_t r, const mpz_t a, uIntMpz b) -{ - mp_size_t an; - mp_ptr rp; - mp_limb_t cy; - - an = GMP_ABS (a->_mp_size); - if (an == 0) - { - MPZ_REALLOC (r, 1)[0] = b; - return b > 0; - } - - rp = MPZ_REALLOC (r, an + 1); - - cy = mpn_add_1 (rp, a->_mp_d, an, b); - rp[an] = cy; - an += cy; - - return an; -} - -/* Subtract from the absolute value. Returns new size, (or -1 on underflow), - but doesn't store it. */ -static mp_size_t -mpz_abs_sub_ui (mpz_t r, const mpz_t a, uIntMpz b) -{ - mp_size_t an = GMP_ABS (a->_mp_size); - mp_ptr rp; - - if (an == 0) - { - MPZ_REALLOC (r, 1)[0] = b; - return -(b > 0); - } - rp = MPZ_REALLOC (r, an); - if (an == 1 && a->_mp_d[0] < b) - { - rp[0] = b - a->_mp_d[0]; - return -1; - } - else - { - gmp_assert_nocarry (mpn_sub_1 (rp, a->_mp_d, an, b)); - return mpn_normalized_size (rp, an); - } -} - -void -mpz_add_ui (mpz_t r, const mpz_t a, uIntMpz b) -{ - if (a->_mp_size >= 0) - r->_mp_size = mpz_abs_add_ui (r, a, b); - else - r->_mp_size = -mpz_abs_sub_ui (r, a, b); -} - -void -mpz_sub_ui (mpz_t r, const mpz_t a, uIntMpz b) -{ - if (a->_mp_size < 0) - r->_mp_size = -mpz_abs_add_ui (r, a, b); - else - r->_mp_size = mpz_abs_sub_ui (r, a, b); -} - -void -mpz_ui_sub (mpz_t r, uIntMpz a, const mpz_t b) -{ - if (b->_mp_size < 0) - r->_mp_size = mpz_abs_add_ui (r, b, a); - else - r->_mp_size = -mpz_abs_sub_ui (r, b, a); -} - -static mp_size_t -mpz_abs_add (mpz_t r, const mpz_t a, const mpz_t b) -{ - mp_size_t an = GMP_ABS (a->_mp_size); - mp_size_t bn = GMP_ABS (b->_mp_size); - mp_ptr rp; - mp_limb_t cy; - - if (an < bn) - { - MPZ_SRCPTR_SWAP (a, b); - MP_SIZE_T_SWAP (an, bn); - } - - rp = MPZ_REALLOC (r, an + 1); - cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn); - - rp[an] = cy; - - return an + cy; -} - -static mp_size_t -mpz_abs_sub (mpz_t r, const mpz_t a, const mpz_t b) -{ - mp_size_t an = GMP_ABS (a->_mp_size); - mp_size_t bn = GMP_ABS (b->_mp_size); - int cmp; - mp_ptr rp; - - cmp = mpn_cmp4 (a->_mp_d, an, b->_mp_d, bn); - if (cmp > 0) - { - rp = MPZ_REALLOC (r, an); - gmp_assert_nocarry (mpn_sub (rp, a->_mp_d, an, b->_mp_d, bn)); - return mpn_normalized_size (rp, an); - } - else if (cmp < 0) - { - rp = MPZ_REALLOC (r, bn); - gmp_assert_nocarry (mpn_sub (rp, b->_mp_d, bn, a->_mp_d, an)); - return -mpn_normalized_size (rp, bn); - } - else - return 0; -} - -void -mpz_add (mpz_t r, const mpz_t a, const mpz_t b) -{ - mp_size_t rn; - - if ( (a->_mp_size ^ b->_mp_size) >= 0) - rn = mpz_abs_add (r, a, b); - else - rn = mpz_abs_sub (r, a, b); - - r->_mp_size = a->_mp_size >= 0 ? rn : - rn; -} - -void -mpz_sub (mpz_t r, const mpz_t a, const mpz_t b) -{ - mp_size_t rn; - - if ( (a->_mp_size ^ b->_mp_size) >= 0) - rn = mpz_abs_sub (r, a, b); - else - rn = mpz_abs_add (r, a, b); - - r->_mp_size = a->_mp_size >= 0 ? rn : - rn; -} - - -/* MPZ multiplication */ -void -mpz_mul_si (mpz_t r, const mpz_t u, intMpz v) -{ - if (v < 0) - { - mpz_mul_ui (r, u, GMP_NEG_CAST (uIntMpz, v)); - mpz_neg (r, r); - } - else - mpz_mul_ui (r, u, (uIntMpz) v); -} - -void -mpz_mul_ui (mpz_t r, const mpz_t u, uIntMpz v) -{ - mp_size_t un, us; - mp_ptr tp; - mp_limb_t cy; - - us = u->_mp_size; - - if (us == 0 || v == 0) - { - r->_mp_size = 0; - return; - } - - un = GMP_ABS (us); - - tp = MPZ_REALLOC (r, un + 1); - cy = mpn_mul_1 (tp, u->_mp_d, un, v); - tp[un] = cy; - - un += (cy > 0); - r->_mp_size = (us < 0) ? - un : un; -} - -void -mpz_mul (mpz_t r, const mpz_t u, const mpz_t v) -{ - int sign; - mp_size_t un, vn, rn; - mpz_t t; - mp_ptr tp; - - un = u->_mp_size; - vn = v->_mp_size; - - if (un == 0 || vn == 0) - { - r->_mp_size = 0; - return; - } - - sign = (un ^ vn) < 0; - - un = GMP_ABS (un); - vn = GMP_ABS (vn); - - mpz_init2 (t, (un + vn) * GMP_LIMB_BITS); - - tp = t->_mp_d; - if (un >= vn) - mpn_mul (tp, u->_mp_d, un, v->_mp_d, vn); - else - mpn_mul (tp, v->_mp_d, vn, u->_mp_d, un); - - rn = un + vn; - rn -= tp[rn-1] == 0; - - t->_mp_size = sign ? - rn : rn; - mpz_swap (r, t); - mpz_clear (t); -} - -void -mpz_mul_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bits) -{ - mp_size_t un, rn; - mp_size_t limbs; - unsigned shift; - mp_ptr rp; - - un = GMP_ABS (u->_mp_size); - if (un == 0) - { - r->_mp_size = 0; - return; - } - - limbs = bits / GMP_LIMB_BITS; - shift = bits % GMP_LIMB_BITS; - - rn = un + limbs + (shift > 0); - rp = MPZ_REALLOC (r, rn); - if (shift > 0) - { - mp_limb_t cy = mpn_lshift (rp + limbs, u->_mp_d, un, shift); - rp[rn-1] = cy; - rn -= (cy == 0); - } - else - mpn_copyd (rp + limbs, u->_mp_d, un); - - mpn_zero (rp, limbs); - - r->_mp_size = (u->_mp_size < 0) ? - rn : rn; -} - -void -mpz_addmul_ui (mpz_t r, const mpz_t u, uIntMpz v) -{ - mpz_t t; - mpz_init (t); - mpz_mul_ui (t, u, v); - mpz_add (r, r, t); - mpz_clear (t); -} - -void -mpz_submul_ui (mpz_t r, const mpz_t u, uIntMpz v) -{ - mpz_t t; - mpz_init (t); - mpz_mul_ui (t, u, v); - mpz_sub (r, r, t); - mpz_clear (t); -} - -void -mpz_addmul (mpz_t r, const mpz_t u, const mpz_t v) -{ - mpz_t t; - mpz_init (t); - mpz_mul (t, u, v); - mpz_add (r, r, t); - mpz_clear (t); -} - -void -mpz_submul (mpz_t r, const mpz_t u, const mpz_t v) -{ - mpz_t t; - mpz_init (t); - mpz_mul (t, u, v); - mpz_sub (r, r, t); - mpz_clear (t); -} - - -/* MPZ division */ -enum mpz_div_round_mode { GMP_DIV_FLOOR, GMP_DIV_CEIL, GMP_DIV_TRUNC }; - -/* Allows q or r to be zero. Returns 1 iff remainder is non-zero. */ -static int -mpz_div_qr (mpz_t q, mpz_t r, - const mpz_t n, const mpz_t d, enum mpz_div_round_mode mode) -{ - mp_size_t ns, ds, nn, dn, qs; - ns = n->_mp_size; - ds = d->_mp_size; - - if (ds == 0) - gmp_die("mpz_div_qr: Divide by zero."); - - if (ns == 0) - { - if (q) - q->_mp_size = 0; - if (r) - r->_mp_size = 0; - return 0; - } - - nn = GMP_ABS (ns); - dn = GMP_ABS (ds); - - qs = ds ^ ns; - - if (nn < dn) - { - if (mode == GMP_DIV_CEIL && qs >= 0) - { - /* q = 1, r = n - d */ - if (r) - mpz_sub (r, n, d); - if (q) - mpz_set_ui (q, 1); - } - else if (mode == GMP_DIV_FLOOR && qs < 0) - { - /* q = -1, r = n + d */ - if (r) - mpz_add (r, n, d); - if (q) - mpz_set_si (q, -1); - } - else - { - /* q = 0, r = d */ - if (r) - mpz_set (r, n); - if (q) - q->_mp_size = 0; - } - return 1; - } - else - { - mp_ptr np, qp; - mp_size_t qn, rn; - mpz_t tq, tr; - - mpz_init_set (tr, n); - np = tr->_mp_d; - - qn = nn - dn + 1; - - if (q) - { - mpz_init2 (tq, qn * GMP_LIMB_BITS); - qp = tq->_mp_d; - } - else - qp = NULL; - - mpn_div_qr (qp, np, nn, d->_mp_d, dn); - - if (qp) - { - qn -= (qp[qn-1] == 0); - - tq->_mp_size = qs < 0 ? -qn : qn; - } - rn = mpn_normalized_size (np, dn); - tr->_mp_size = ns < 0 ? - rn : rn; - - if (mode == GMP_DIV_FLOOR && qs < 0 && rn != 0) - { - if (q) - mpz_sub_ui (tq, tq, 1); - if (r) - mpz_add (tr, tr, d); - } - else if (mode == GMP_DIV_CEIL && qs >= 0 && rn != 0) - { - if (q) - mpz_add_ui (tq, tq, 1); - if (r) - mpz_sub (tr, tr, d); - } - - if (q) - { - mpz_swap (tq, q); - mpz_clear (tq); - } - if (r) - mpz_swap (tr, r); - - mpz_clear (tr); - - return rn != 0; - } -} - -void -mpz_cdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, r, n, d, GMP_DIV_CEIL); -} - -void -mpz_fdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, r, n, d, GMP_DIV_FLOOR); -} - -void -mpz_tdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, r, n, d, GMP_DIV_TRUNC); -} - -void -mpz_cdiv_q (mpz_t q, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, NULL, n, d, GMP_DIV_CEIL); -} - -void -mpz_fdiv_q (mpz_t q, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, NULL, n, d, GMP_DIV_FLOOR); -} - -void -mpz_tdiv_q (mpz_t q, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (q, NULL, n, d, GMP_DIV_TRUNC); -} - -void -mpz_cdiv_r (mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (NULL, r, n, d, GMP_DIV_CEIL); -} - -void -mpz_fdiv_r (mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (NULL, r, n, d, GMP_DIV_FLOOR); -} - -void -mpz_tdiv_r (mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (NULL, r, n, d, GMP_DIV_TRUNC); -} - -void -mpz_mod (mpz_t r, const mpz_t n, const mpz_t d) -{ - mpz_div_qr (NULL, r, n, d, d->_mp_size >= 0 ? GMP_DIV_FLOOR : GMP_DIV_CEIL); -} - -static void -mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index, - enum mpz_div_round_mode mode) -{ - mp_size_t un, qn; - mp_size_t limb_cnt; - mp_ptr qp; - int adjust; - - un = u->_mp_size; - if (un == 0) - { - q->_mp_size = 0; - return; - } - limb_cnt = bit_index / GMP_LIMB_BITS; - qn = GMP_ABS (un) - limb_cnt; - bit_index %= GMP_LIMB_BITS; - - if (mode == ((un > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* un != 0 here. */ - /* Note: Below, the final indexing at limb_cnt is valid because at - that point we have qn > 0. */ - adjust = (qn <= 0 - || !mpn_zero_p (u->_mp_d, limb_cnt) - || (u->_mp_d[limb_cnt] - & (((mp_limb_t) 1 << bit_index) - 1))); - else - adjust = 0; - - if (qn <= 0) - qn = 0; - else - { - qp = MPZ_REALLOC (q, qn); - - if (bit_index != 0) - { - mpn_rshift (qp, u->_mp_d + limb_cnt, qn, bit_index); - qn -= qp[qn - 1] == 0; - } - else - { - mpn_copyi (qp, u->_mp_d + limb_cnt, qn); - } - } - - q->_mp_size = qn; - - if (adjust) - mpz_add_ui (q, q, 1); - if (un < 0) - mpz_neg (q, q); -} - -static void -mpz_div_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bit_index, - enum mpz_div_round_mode mode) -{ - mp_size_t us, un, rn; - mp_ptr rp; - mp_limb_t mask; - - us = u->_mp_size; - if (us == 0 || bit_index == 0) - { - r->_mp_size = 0; - return; - } - rn = (bit_index + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS; - assert (rn > 0); - - rp = MPZ_REALLOC (r, rn); - un = GMP_ABS (us); - - mask = GMP_LIMB_MAX >> (rn * GMP_LIMB_BITS - bit_index); - - if (rn > un) - { - /* Quotient (with truncation) is zero, and remainder is - non-zero */ - if (mode == ((us > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* us != 0 here. */ - { - /* Have to negate and sign extend. */ - mp_size_t i; - - gmp_assert_nocarry (! mpn_neg (rp, u->_mp_d, un)); - for (i = un; i < rn - 1; i++) - rp[i] = GMP_LIMB_MAX; - - rp[rn-1] = mask; - us = -us; - } - else - { - /* Just copy */ - if (r != u) - mpn_copyi (rp, u->_mp_d, un); - - rn = un; - } - } - else - { - if (r != u) - mpn_copyi (rp, u->_mp_d, rn - 1); - - rp[rn-1] = u->_mp_d[rn-1] & mask; - - if (mode == ((us > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* us != 0 here. */ - { - /* If r != 0, compute 2^{bit_count} - r. */ - mpn_neg (rp, rp, rn); - - rp[rn-1] &= mask; - - /* us is not used for anything else, so we can modify it - here to indicate flipped sign. */ - us = -us; - } - } - rn = mpn_normalized_size (rp, rn); - r->_mp_size = us < 0 ? -rn : rn; -} - -void -mpz_cdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_q_2exp (r, u, cnt, GMP_DIV_CEIL); -} - -void -mpz_fdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_q_2exp (r, u, cnt, GMP_DIV_FLOOR); -} - -void -mpz_tdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_q_2exp (r, u, cnt, GMP_DIV_TRUNC); -} - -void -mpz_cdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_r_2exp (r, u, cnt, GMP_DIV_CEIL); -} - -void -mpz_fdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_r_2exp (r, u, cnt, GMP_DIV_FLOOR); -} - -void -mpz_tdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) -{ - mpz_div_r_2exp (r, u, cnt, GMP_DIV_TRUNC); -} - -void -mpz_divexact (mpz_t q, const mpz_t n, const mpz_t d) -{ - gmp_assert_nocarry (mpz_div_qr (q, NULL, n, d, GMP_DIV_TRUNC)); -} - -int -mpz_divisible_p (const mpz_t n, const mpz_t d) -{ - return mpz_div_qr (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0; -} - -int -mpz_congruent_p (const mpz_t a, const mpz_t b, const mpz_t m) -{ - mpz_t t; - int res; - - /* a == b (mod 0) iff a == b */ - if (mpz_sgn (m) == 0) - return (mpz_cmp (a, b) == 0); - - mpz_init (t); - mpz_sub (t, a, b); - res = mpz_divisible_p (t, m); - mpz_clear (t); - - return res; -} - -static uIntMpz -mpz_div_qr_ui (mpz_t q, mpz_t r, - const mpz_t n, uIntMpz d, enum mpz_div_round_mode mode) -{ - mp_size_t ns, qn; - mp_ptr qp; - mp_limb_t rl; - mp_size_t rs; - - ns = n->_mp_size; - if (ns == 0) - { - if (q) - q->_mp_size = 0; - if (r) - r->_mp_size = 0; - return 0; - } - - qn = GMP_ABS (ns); - if (q) - qp = MPZ_REALLOC (q, qn); - else - qp = NULL; - - rl = mpn_div_qr_1 (qp, n->_mp_d, qn, d); - assert (rl < d); - - rs = rl > 0; - rs = (ns < 0) ? -rs : rs; - - if (rl > 0 && ( (mode == GMP_DIV_FLOOR && ns < 0) - || (mode == GMP_DIV_CEIL && ns >= 0))) - { - if (q) - gmp_assert_nocarry (mpn_add_1 (qp, qp, qn, 1)); - rl = d - rl; - rs = -rs; - } - - if (r) - { - MPZ_REALLOC (r, 1)[0] = rl; - r->_mp_size = rs; - } - if (q) - { - qn -= (qp[qn-1] == 0); - assert (qn == 0 || qp[qn-1] > 0); - - q->_mp_size = (ns < 0) ? - qn : qn; - } - - return rl; -} - -uIntMpz -mpz_cdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, r, n, d, GMP_DIV_CEIL); -} - -uIntMpz -mpz_fdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, r, n, d, GMP_DIV_FLOOR); -} - -uIntMpz -mpz_tdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, r, n, d, GMP_DIV_TRUNC); -} - -uIntMpz -mpz_cdiv_q_ui (mpz_t q, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_CEIL); -} - -uIntMpz -mpz_fdiv_q_ui (mpz_t q, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_FLOOR); -} - -uIntMpz -mpz_tdiv_q_ui (mpz_t q, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_TRUNC); -} - -uIntMpz -mpz_cdiv_r_ui (mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_CEIL); -} -uIntMpz -mpz_fdiv_r_ui (mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_FLOOR); -} -uIntMpz -mpz_tdiv_r_ui (mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_TRUNC); -} - -uIntMpz -mpz_cdiv_ui (const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_CEIL); -} - -uIntMpz -mpz_fdiv_ui (const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_FLOOR); -} - -uIntMpz -mpz_tdiv_ui (const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_TRUNC); -} - -uIntMpz -mpz_mod_ui (mpz_t r, const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_FLOOR); -} - -void -mpz_divexact_ui (mpz_t q, const mpz_t n, uIntMpz d) -{ - gmp_assert_nocarry (mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_TRUNC)); -} - -int -mpz_divisible_ui_p (const mpz_t n, uIntMpz d) -{ - return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0; -} - - -/* GCD */ -static mp_limb_t -mpn_gcd_11 (mp_limb_t u, mp_limb_t v) -{ - unsigned shift; - - assert ( (u | v) > 0); - - if (u == 0) - return v; - else if (v == 0) - return u; - - gmp_ctz (shift, u | v); - - u >>= shift; - v >>= shift; - - if ( (u & 1) == 0) - MP_LIMB_T_SWAP (u, v); - - while ( (v & 1) == 0) - v >>= 1; - - while (u != v) - { - if (u > v) - { - u -= v; - do - u >>= 1; - while ( (u & 1) == 0); - } - else - { - v -= u; - do - v >>= 1; - while ( (v & 1) == 0); - } - } - return u << shift; -} - -uIntMpz -mpz_gcd_ui (mpz_t g, const mpz_t u, uIntMpz v) -{ - mp_size_t un; - - if (v == 0) - { - if (g) - mpz_abs (g, u); - } - else - { - un = GMP_ABS (u->_mp_size); - if (un != 0) - v = mpn_gcd_11 (mpn_div_qr_1 (NULL, u->_mp_d, un, v), v); - - if (g) - mpz_set_ui (g, v); - } - - return v; -} - -static mp_bitcnt_t -mpz_make_odd (mpz_t r) -{ - mp_bitcnt_t shift; - - assert (r->_mp_size > 0); - /* Count trailing zeros, equivalent to mpn_scan1, because we know that there is a 1 */ - shift = mpn_common_scan (r->_mp_d[0], 0, r->_mp_d, 0, 0); - mpz_tdiv_q_2exp (r, r, shift); - - return shift; -} - -void -mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v) -{ - mpz_t tu, tv; - mp_bitcnt_t uz, vz, gz; - - if (u->_mp_size == 0) - { - mpz_abs (g, v); - return; - } - if (v->_mp_size == 0) - { - mpz_abs (g, u); - return; - } - - mpz_init (tu); - mpz_init (tv); - - mpz_abs (tu, u); - uz = mpz_make_odd (tu); - mpz_abs (tv, v); - vz = mpz_make_odd (tv); - gz = GMP_MIN (uz, vz); - - if (tu->_mp_size < tv->_mp_size) - mpz_swap (tu, tv); - - mpz_tdiv_r (tu, tu, tv); - if (tu->_mp_size == 0) - { - mpz_swap (g, tv); - } - else - for (;;) - { - int c; - - mpz_make_odd (tu); - c = mpz_cmp (tu, tv); - if (c == 0) - { - mpz_swap (g, tu); - break; - } - if (c < 0) - mpz_swap (tu, tv); - - if (tv->_mp_size == 1) - { - mp_limb_t vl = tv->_mp_d[0]; - mp_limb_t ul = mpz_tdiv_ui (tu, vl); - mpz_set_ui (g, mpn_gcd_11 (ul, vl)); - break; - } - mpz_sub (tu, tu, tv); - } - mpz_clear (tu); - mpz_clear (tv); - mpz_mul_2exp (g, g, gz); -} - -void -mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v) -{ - mpz_t tu, tv, s0, s1, t0, t1; - mp_bitcnt_t uz, vz, gz; - mp_bitcnt_t power; - - if (u->_mp_size == 0) - { - /* g = 0 u + sgn(v) v */ - intMpz sign = mpz_sgn (v); - mpz_abs (g, v); - if (s) - mpz_set_ui (s, 0); - if (t) - mpz_set_si (t, sign); - return; - } - - if (v->_mp_size == 0) - { - /* g = sgn(u) u + 0 v */ - intMpz sign = mpz_sgn (u); - mpz_abs (g, u); - if (s) - mpz_set_si (s, sign); - if (t) - mpz_set_ui (t, 0); - return; - } - - mpz_init (tu); - mpz_init (tv); - mpz_init (s0); - mpz_init (s1); - mpz_init (t0); - mpz_init (t1); - - mpz_abs (tu, u); - uz = mpz_make_odd (tu); - mpz_abs (tv, v); - vz = mpz_make_odd (tv); - gz = GMP_MIN (uz, vz); - - uz -= gz; - vz -= gz; - - /* Cofactors corresponding to odd gcd. gz handled later. */ - if (tu->_mp_size < tv->_mp_size) - { - mpz_swap (tu, tv); - MPZ_SRCPTR_SWAP (u, v); - MPZ_PTR_SWAP (s, t); - MP_BITCNT_T_SWAP (uz, vz); - } - - /* Maintain - * - * u = t0 tu + t1 tv - * v = s0 tu + s1 tv - * - * where u and v denote the inputs with common factors of two - * eliminated, and det (s0, t0; s1, t1) = 2^p. Then - * - * 2^p tu = s1 u - t1 v - * 2^p tv = -s0 u + t0 v - */ - - /* After initial division, tu = q tv + tu', we have - * - * u = 2^uz (tu' + q tv) - * v = 2^vz tv - * - * or - * - * t0 = 2^uz, t1 = 2^uz q - * s0 = 0, s1 = 2^vz - */ - - mpz_setbit (t0, uz); - mpz_tdiv_qr (t1, tu, tu, tv); - mpz_mul_2exp (t1, t1, uz); - - mpz_setbit (s1, vz); - power = uz + vz; - - if (tu->_mp_size > 0) - { - mp_bitcnt_t shift; - shift = mpz_make_odd (tu); - mpz_mul_2exp (t0, t0, shift); - mpz_mul_2exp (s0, s0, shift); - power += shift; - - for (;;) - { - int c; - c = mpz_cmp (tu, tv); - if (c == 0) - break; - - if (c < 0) - { - /* tv = tv' + tu - * - * u = t0 tu + t1 (tv' + tu) = (t0 + t1) tu + t1 tv' - * v = s0 tu + s1 (tv' + tu) = (s0 + s1) tu + s1 tv' */ - - mpz_sub (tv, tv, tu); - mpz_add (t0, t0, t1); - mpz_add (s0, s0, s1); - - shift = mpz_make_odd (tv); - mpz_mul_2exp (t1, t1, shift); - mpz_mul_2exp (s1, s1, shift); - } - else - { - mpz_sub (tu, tu, tv); - mpz_add (t1, t0, t1); - mpz_add (s1, s0, s1); - - shift = mpz_make_odd (tu); - mpz_mul_2exp (t0, t0, shift); - mpz_mul_2exp (s0, s0, shift); - } - power += shift; - } - } - - /* Now tv = odd part of gcd, and -s0 and t0 are corresponding - cofactors. */ - - mpz_mul_2exp (tv, tv, gz); - mpz_neg (s0, s0); - - /* 2^p g = s0 u + t0 v. Eliminate one factor of two at a time. To - adjust cofactors, we need u / g and v / g */ - - mpz_divexact (s1, v, tv); - mpz_abs (s1, s1); - mpz_divexact (t1, u, tv); - mpz_abs (t1, t1); - - while (power-- > 0) - { - /* s0 u + t0 v = (s0 - v/g) u - (t0 + u/g) v */ - if (mpz_odd_p (s0) || mpz_odd_p (t0)) - { - mpz_sub (s0, s0, s1); - mpz_add (t0, t0, t1); - } - mpz_divexact_ui (s0, s0, 2); - mpz_divexact_ui (t0, t0, 2); - } - - /* Arrange so that |s| < |u| / 2g */ - mpz_add (s1, s0, s1); - if (mpz_cmpabs (s0, s1) > 0) - { - mpz_swap (s0, s1); - mpz_sub (t0, t0, t1); - } - if (u->_mp_size < 0) - mpz_neg (s0, s0); - if (v->_mp_size < 0) - mpz_neg (t0, t0); - - mpz_swap (g, tv); - if (s) - mpz_swap (s, s0); - if (t) - mpz_swap (t, t0); - - mpz_clear (tu); - mpz_clear (tv); - mpz_clear (s0); - mpz_clear (s1); - mpz_clear (t0); - mpz_clear (t1); -} - -void -mpz_lcm (mpz_t r, const mpz_t u, const mpz_t v) -{ - mpz_t g; - - if (u->_mp_size == 0 || v->_mp_size == 0) - { - r->_mp_size = 0; - return; - } - - mpz_init (g); - - mpz_gcd (g, u, v); - mpz_divexact (g, u, g); - mpz_mul (r, g, v); - - mpz_clear (g); - mpz_abs (r, r); -} - -void -mpz_lcm_ui (mpz_t r, const mpz_t u, uIntMpz v) -{ - if (v == 0 || u->_mp_size == 0) - { - r->_mp_size = 0; - return; - } - - v /= mpz_gcd_ui (NULL, u, v); - mpz_mul_ui (r, u, v); - - mpz_abs (r, r); -} - -int -mpz_invert (mpz_t r, const mpz_t u, const mpz_t m) -{ - mpz_t g, tr; - int invertible; - - if (u->_mp_size == 0 || mpz_cmpabs_ui (m, 1) <= 0) - return 0; - - mpz_init (g); - mpz_init (tr); - - mpz_gcdext (g, tr, NULL, u, m); - invertible = (mpz_cmp_ui (g, 1) == 0); - - if (invertible) - { - if (tr->_mp_size < 0) - { - if (m->_mp_size >= 0) - mpz_add (tr, tr, m); - else - mpz_sub (tr, tr, m); - } - mpz_swap (r, tr); - } - - mpz_clear (g); - mpz_clear (tr); - return invertible; -} - - -/* Higher level operations (sqrt, pow and root) */ - -void -mpz_pow_ui (mpz_t r, const mpz_t b, uIntMpz e) -{ - uIntMpz bit; - mpz_t tr; - mpz_init_set_ui (tr, 1); - - bit = GMP_ULONG_HIGHBIT; - do - { - mpz_mul (tr, tr, tr); - if (e & bit) - mpz_mul (tr, tr, b); - bit >>= 1; - } - while (bit > 0); - - mpz_swap (r, tr); - mpz_clear (tr); -} - -void -mpz_ui_pow_ui (mpz_t r, uIntMpz blimb, uIntMpz e) -{ - mpz_t b; - mpz_pow_ui (r, mpz_roinit_n (b, &blimb, 1), e); -} - -void -mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m) -{ - mpz_t tr; - mpz_t base; - mp_size_t en, mn; - mp_srcptr mp; - struct gmp_div_inverse minv; - unsigned shift; - mp_ptr tp = NULL; - - en = GMP_ABS (e->_mp_size); - mn = GMP_ABS (m->_mp_size); - if (mn == 0) - gmp_die ("mpz_powm: Zero modulo."); - - if (en == 0) - { - mpz_set_ui (r, 1); - return; - } - - mp = m->_mp_d; - mpn_div_qr_invert (&minv, mp, mn); - shift = minv.shift; - - if (shift > 0) - { - /* To avoid shifts, we do all our reductions, except the final - one, using a *normalized* m. */ - minv.shift = 0; - - tp = gmp_xalloc_limbs (mn); - gmp_assert_nocarry (mpn_lshift (tp, mp, mn, shift)); - mp = tp; - } - - mpz_init (base); - - if (e->_mp_size < 0) - { - if (!mpz_invert (base, b, m)) - gmp_die ("mpz_powm: Negative exponent and non-invertible base."); - } - else - { - mp_size_t bn; - mpz_abs (base, b); - - bn = base->_mp_size; - if (bn >= mn) - { - mpn_div_qr_preinv (NULL, base->_mp_d, base->_mp_size, mp, mn, &minv); - bn = mn; - } - - /* We have reduced the absolute value. Now take care of the - sign. Note that we get zero represented non-canonically as - m. */ - if (b->_mp_size < 0) - { - mp_ptr bp = MPZ_REALLOC (base, mn); - gmp_assert_nocarry (mpn_sub (bp, mp, mn, bp, bn)); - bn = mn; - } - base->_mp_size = mpn_normalized_size (base->_mp_d, bn); - } - mpz_init_set_ui (tr, 1); - - while (--en >= 0) - { - mp_limb_t w = e->_mp_d[en]; - mp_limb_t bit; - - bit = GMP_LIMB_HIGHBIT; - do - { - mpz_mul (tr, tr, tr); - if (w & bit) - mpz_mul (tr, tr, base); - if (tr->_mp_size > mn) - { - mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv); - tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn); - } - bit >>= 1; - } - while (bit > 0); - } - - /* Final reduction */ - if (tr->_mp_size >= mn) - { - minv.shift = shift; - mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv); - tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn); - } - if (tp) - gmp_free (tp); - - mpz_swap (r, tr); - mpz_clear (tr); - mpz_clear (base); -} - -void -mpz_powm_ui (mpz_t r, const mpz_t b, uIntMpz elimb, const mpz_t m) -{ - mpz_t e; - mpz_powm (r, b, mpz_roinit_n (e, &elimb, 1), m); -} - -/* x=trunc(y^(1/z)), r=y-x^z */ -void -mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, uIntMpz z) -{ - int sgn; - mpz_t t, u; - - sgn = y->_mp_size < 0; - if ((~z & sgn) != 0) - gmp_die ("mpz_rootrem: Negative argument, with even root."); - if (z == 0) - gmp_die ("mpz_rootrem: Zeroth root."); - - if (mpz_cmpabs_ui (y, 1) <= 0) { - if (x) - mpz_set (x, y); - if (r) - r->_mp_size = 0; - return; - } - - mpz_init (u); - mpz_init (t); - mpz_setbit (t, mpz_sizeinbase (y, 2) / z + 1); - - if (z == 2) /* simplify sqrt loop: z-1 == 1 */ - do { - mpz_swap (u, t); /* u = x */ - mpz_tdiv_q (t, y, u); /* t = y/x */ - mpz_add (t, t, u); /* t = y/x + x */ - mpz_tdiv_q_2exp (t, t, 1); /* x'= (y/x + x)/2 */ - } while (mpz_cmpabs (t, u) < 0); /* |x'| < |x| */ - else /* z != 2 */ { - mpz_t v; - - mpz_init (v); - if (sgn) - mpz_neg (t, t); - - do { - mpz_swap (u, t); /* u = x */ - mpz_pow_ui (t, u, z - 1); /* t = x^(z-1) */ - mpz_tdiv_q (t, y, t); /* t = y/x^(z-1) */ - mpz_mul_ui (v, u, z - 1); /* v = x*(z-1) */ - mpz_add (t, t, v); /* t = y/x^(z-1) + x*(z-1) */ - mpz_tdiv_q_ui (t, t, z); /* x'=(y/x^(z-1) + x*(z-1))/z */ - } while (mpz_cmpabs (t, u) < 0); /* |x'| < |x| */ - - mpz_clear (v); - } - - if (r) { - mpz_pow_ui (t, u, z); - mpz_sub (r, y, t); - } - if (x) - mpz_swap (x, u); - mpz_clear (u); - mpz_clear (t); -} - -int -mpz_root (mpz_t x, const mpz_t y, uIntMpz z) -{ - int res; - mpz_t r; - - mpz_init (r); - mpz_rootrem (x, r, y, z); - res = r->_mp_size == 0; - mpz_clear (r); - - return res; -} - -/* Compute s = floor(sqrt(u)) and r = u - s^2. Allows r == NULL */ -void -mpz_sqrtrem (mpz_t s, mpz_t r, const mpz_t u) -{ - mpz_rootrem (s, r, u, 2); -} - -void -mpz_sqrt (mpz_t s, const mpz_t u) -{ - mpz_rootrem (s, NULL, u, 2); -} - -int -mpz_perfect_square_p (const mpz_t u) -{ - if (u->_mp_size <= 0) - return (u->_mp_size == 0); - else - return mpz_root (NULL, u, 2); -} - -int -mpn_perfect_square_p (mp_srcptr p, mp_size_t n) -{ - mpz_t t; - - assert (n > 0); - assert (p [n-1] != 0); - return mpz_root (NULL, mpz_roinit_n (t, p, n), 2); -} - -mp_size_t -mpn_sqrtrem (mp_ptr sp, mp_ptr rp, mp_srcptr p, mp_size_t n) -{ - mpz_t s, r, u; - mp_size_t res; - - assert (n > 0); - assert (p [n-1] != 0); - - mpz_init (r); - mpz_init (s); - mpz_rootrem (s, r, mpz_roinit_n (u, p, n), 2); - - assert (s->_mp_size == (n+1)/2); - mpn_copyd (sp, s->_mp_d, s->_mp_size); - mpz_clear (s); - res = r->_mp_size; - if (rp) - mpn_copyd (rp, r->_mp_d, res); - mpz_clear (r); - return res; -} - -/* Combinatorics */ - -void -mpz_fac_ui (mpz_t x, uIntMpz n) -{ - mpz_set_ui (x, n + (n == 0)); - while (n > 2) - mpz_mul_ui (x, x, --n); -} - -void -mpz_bin_uiui (mpz_t r, uIntMpz n, uIntMpz k) -{ - mpz_t t; - - mpz_set_ui (r, k <= n); - - if (k > (n >> 1)) - k = (k <= n) ? n - k : 0; - - mpz_init (t); - mpz_fac_ui (t, k); - - for (; k > 0; k--) - mpz_mul_ui (r, r, n--); - - mpz_divexact (r, r, t); - mpz_clear (t); -} - - -/* Primality testing */ -static int -gmp_millerrabin (const mpz_t n, const mpz_t nm1, mpz_t y, - const mpz_t q, mp_bitcnt_t k) -{ - assert (k > 0); - - /* Caller must initialize y to the base. */ - mpz_powm (y, y, q, n); - - if (mpz_cmp_ui (y, 1) == 0 || mpz_cmp (y, nm1) == 0) - return 1; - - while (--k > 0) - { - mpz_powm_ui (y, y, 2, n); - if (mpz_cmp (y, nm1) == 0) - return 1; - /* y == 1 means that the previous y was a non-trivial square root - of 1 (mod n). y == 0 means that n is a power of the base. - In either case, n is not prime. */ - if (mpz_cmp_ui (y, 1) <= 0) - return 0; - } - return 0; -} - -/* This product is 0xc0cfd797, and fits in 32 bits. */ -#define GMP_PRIME_PRODUCT \ - (3UL*5UL*7UL*11UL*13UL*17UL*19UL*23UL*29UL) - -/* Bit (p+1)/2 is set, for each odd prime <= 61 */ -#define GMP_PRIME_MASK 0xc96996dcUL - -int -mpz_probab_prime_p (const mpz_t n, int reps) -{ - mpz_t nm1; - mpz_t q; - mpz_t y; - mp_bitcnt_t k; - int is_prime; - int j; - - /* Note that we use the absolute value of n only, for compatibility - with the real GMP. */ - if (mpz_even_p (n)) - return (mpz_cmpabs_ui (n, 2) == 0) ? 2 : 0; - - /* Above test excludes n == 0 */ - assert (n->_mp_size != 0); - - if (mpz_cmpabs_ui (n, 64) < 0) - return (GMP_PRIME_MASK >> (n->_mp_d[0] >> 1)) & 2; - - if (mpz_gcd_ui (NULL, n, GMP_PRIME_PRODUCT) != 1) - return 0; - - /* All prime factors are >= 31. */ - if (mpz_cmpabs_ui (n, 31*31) < 0) - return 2; - - /* Use Miller-Rabin, with a deterministic sequence of bases, a[j] = - j^2 + j + 41 using Euler's polynomial. We potentially stop early, - if a[j] >= n - 1. Since n >= 31*31, this can happen only if reps > - 30 (a[30] == 971 > 31*31 == 961). */ - - mpz_init (nm1); - mpz_init (q); - mpz_init (y); - - /* Find q and k, where q is odd and n = 1 + 2**k * q. */ - nm1->_mp_size = mpz_abs_sub_ui (nm1, n, 1); - k = mpz_scan1 (nm1, 0); - mpz_tdiv_q_2exp (q, nm1, k); - - for (j = 0, is_prime = 1; is_prime & (j < reps); j++) - { - mpz_set_ui (y, (uIntMpz) j*j+j+41); - if (mpz_cmp (y, nm1) >= 0) - { - /* Don't try any further bases. This "early" break does not affect - the result for any reasonable reps value (<=5000 was tested) */ - assert (j >= 30); - break; - } - is_prime = gmp_millerrabin (n, nm1, y, q, k); - } - mpz_clear (nm1); - mpz_clear (q); - mpz_clear (y); - - return is_prime; -} - - -/* Logical operations and bit manipulation. */ - -/* Numbers are treated as if represented in two's complement (and - infinitely sign extended). For a negative values we get the two's - complement from -x = ~x + 1, where ~ is bitwise complement. - Negation transforms - - xxxx10...0 - - into - - yyyy10...0 - - where yyyy is the bitwise complement of xxxx. So least significant - bits, up to and including the first one bit, are unchanged, and - the more significant bits are all complemented. - - To change a bit from zero to one in a negative number, subtract the - corresponding power of two from the absolute value. This can never - underflow. To change a bit from one to zero, add the corresponding - power of two, and this might overflow. E.g., if x = -001111, the - two's complement is 110001. Clearing the least significant bit, we - get two's complement 110000, and -010000. */ - -int -mpz_tstbit (const mpz_t d, mp_bitcnt_t bit_index) -{ - mp_size_t limb_index; - unsigned shift; - mp_size_t ds; - mp_size_t dn; - mp_limb_t w; - int bit; - - ds = d->_mp_size; - dn = GMP_ABS (ds); - limb_index = bit_index / GMP_LIMB_BITS; - if (limb_index >= dn) - return ds < 0; - - shift = bit_index % GMP_LIMB_BITS; - w = d->_mp_d[limb_index]; - bit = (w >> shift) & 1; - - if (ds < 0) - { - /* d < 0. Check if any of the bits below is set: If so, our bit - must be complemented. */ - if (shift > 0 && (w << (GMP_LIMB_BITS - shift)) > 0) - return bit ^ 1; - while (--limb_index >= 0) - if (d->_mp_d[limb_index] > 0) - return bit ^ 1; - } - return bit; -} - -static void -mpz_abs_add_bit (mpz_t d, mp_bitcnt_t bit_index) -{ - mp_size_t dn, limb_index; - mp_limb_t bit; - mp_ptr dp; - - dn = GMP_ABS (d->_mp_size); - - limb_index = bit_index / GMP_LIMB_BITS; - bit = (mp_limb_t) 1 << (bit_index % GMP_LIMB_BITS); - - if (limb_index >= dn) - { - mp_size_t i; - /* The bit should be set outside of the end of the number. - We have to increase the size of the number. */ - dp = MPZ_REALLOC (d, limb_index + 1); - - dp[limb_index] = bit; - for (i = dn; i < limb_index; i++) - dp[i] = 0; - dn = limb_index + 1; - } - else - { - mp_limb_t cy; - - dp = d->_mp_d; - - cy = mpn_add_1 (dp + limb_index, dp + limb_index, dn - limb_index, bit); - if (cy > 0) - { - dp = MPZ_REALLOC (d, dn + 1); - dp[dn++] = cy; - } - } - - d->_mp_size = (d->_mp_size < 0) ? - dn : dn; -} - -static void -mpz_abs_sub_bit (mpz_t d, mp_bitcnt_t bit_index) -{ - mp_size_t dn, limb_index; - mp_ptr dp; - mp_limb_t bit; - - dn = GMP_ABS (d->_mp_size); - dp = d->_mp_d; - - limb_index = bit_index / GMP_LIMB_BITS; - bit = (mp_limb_t) 1 << (bit_index % GMP_LIMB_BITS); - - assert (limb_index < dn); - - gmp_assert_nocarry (mpn_sub_1 (dp + limb_index, dp + limb_index, - dn - limb_index, bit)); - dn = mpn_normalized_size (dp, dn); - d->_mp_size = (d->_mp_size < 0) ? - dn : dn; -} - -void -mpz_setbit (mpz_t d, mp_bitcnt_t bit_index) -{ - if (!mpz_tstbit (d, bit_index)) - { - if (d->_mp_size >= 0) - mpz_abs_add_bit (d, bit_index); - else - mpz_abs_sub_bit (d, bit_index); - } -} - -void -mpz_clrbit (mpz_t d, mp_bitcnt_t bit_index) -{ - if (mpz_tstbit (d, bit_index)) - { - if (d->_mp_size >= 0) - mpz_abs_sub_bit (d, bit_index); - else - mpz_abs_add_bit (d, bit_index); - } -} - -void -mpz_combit (mpz_t d, mp_bitcnt_t bit_index) -{ - if (mpz_tstbit (d, bit_index) ^ (d->_mp_size < 0)) - mpz_abs_sub_bit (d, bit_index); - else - mpz_abs_add_bit (d, bit_index); -} - -void -mpz_com (mpz_t r, const mpz_t u) -{ - mpz_neg (r, u); - mpz_sub_ui (r, r, 1); -} - -void -mpz_and (mpz_t r, const mpz_t u, const mpz_t v) -{ - mp_size_t un, vn, rn, i; - mp_ptr up, vp, rp; - - mp_limb_t ux, vx, rx; - mp_limb_t uc, vc, rc; - mp_limb_t ul, vl, rl; - - un = GMP_ABS (u->_mp_size); - vn = GMP_ABS (v->_mp_size); - if (un < vn) - { - MPZ_SRCPTR_SWAP (u, v); - MP_SIZE_T_SWAP (un, vn); - } - if (vn == 0) - { - r->_mp_size = 0; - return; - } - - uc = u->_mp_size < 0; - vc = v->_mp_size < 0; - rc = uc & vc; - - ux = -uc; - vx = -vc; - rx = -rc; - - /* If the smaller input is positive, higher limbs don't matter. */ - rn = vx ? un : vn; - - rp = MPZ_REALLOC (r, rn + (mp_size_t) rc); - - up = u->_mp_d; - vp = v->_mp_d; - - i = 0; - do - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - vl = (vp[i] ^ vx) + vc; - vc = vl < vc; - - rl = ( (ul & vl) ^ rx) + rc; - rc = rl < rc; - rp[i] = rl; - } - while (++i < vn); - assert (vc == 0); - - for (; i < rn; i++) - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - rl = ( (ul & vx) ^ rx) + rc; - rc = rl < rc; - rp[i] = rl; - } - if (rc) - rp[rn++] = rc; - else - rn = mpn_normalized_size (rp, rn); - - r->_mp_size = rx ? -rn : rn; -} - -void -mpz_ior (mpz_t r, const mpz_t u, const mpz_t v) -{ - mp_size_t un, vn, rn, i; - mp_ptr up, vp, rp; - - mp_limb_t ux, vx, rx; - mp_limb_t uc, vc, rc; - mp_limb_t ul, vl, rl; - - un = GMP_ABS (u->_mp_size); - vn = GMP_ABS (v->_mp_size); - if (un < vn) - { - MPZ_SRCPTR_SWAP (u, v); - MP_SIZE_T_SWAP (un, vn); - } - if (vn == 0) - { - mpz_set (r, u); - return; - } - - uc = u->_mp_size < 0; - vc = v->_mp_size < 0; - rc = uc | vc; - - ux = -uc; - vx = -vc; - rx = -rc; - - /* If the smaller input is negative, by sign extension higher limbs - don't matter. */ - rn = vx ? vn : un; - - rp = MPZ_REALLOC (r, rn + (mp_size_t) rc); - - up = u->_mp_d; - vp = v->_mp_d; - - i = 0; - do - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - vl = (vp[i] ^ vx) + vc; - vc = vl < vc; - - rl = ( (ul | vl) ^ rx) + rc; - rc = rl < rc; - rp[i] = rl; - } - while (++i < vn); - assert (vc == 0); - - for (; i < rn; i++) - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - rl = ( (ul | vx) ^ rx) + rc; - rc = rl < rc; - rp[i] = rl; - } - if (rc) - rp[rn++] = rc; - else - rn = mpn_normalized_size (rp, rn); - - r->_mp_size = rx ? -rn : rn; -} - -void -mpz_xor (mpz_t r, const mpz_t u, const mpz_t v) -{ - mp_size_t un, vn, i; - mp_ptr up, vp, rp; - - mp_limb_t ux, vx, rx; - mp_limb_t uc, vc, rc; - mp_limb_t ul, vl, rl; - - un = GMP_ABS (u->_mp_size); - vn = GMP_ABS (v->_mp_size); - if (un < vn) - { - MPZ_SRCPTR_SWAP (u, v); - MP_SIZE_T_SWAP (un, vn); - } - if (vn == 0) - { - mpz_set (r, u); - return; - } - - uc = u->_mp_size < 0; - vc = v->_mp_size < 0; - rc = uc ^ vc; - - ux = -uc; - vx = -vc; - rx = -rc; - - rp = MPZ_REALLOC (r, un + (mp_size_t) rc); - - up = u->_mp_d; - vp = v->_mp_d; - - i = 0; - do - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - vl = (vp[i] ^ vx) + vc; - vc = vl < vc; - - rl = (ul ^ vl ^ rx) + rc; - rc = rl < rc; - rp[i] = rl; - } - while (++i < vn); - assert (vc == 0); - - for (; i < un; i++) - { - ul = (up[i] ^ ux) + uc; - uc = ul < uc; - - rl = (ul ^ ux) + rc; - rc = rl < rc; - rp[i] = rl; - } - if (rc) - rp[un++] = rc; - else - un = mpn_normalized_size (rp, un); - - r->_mp_size = rx ? -un : un; -} - -static unsigned -gmp_popcount_limb (mp_limb_t x) -{ - unsigned c; - - /* Do 16 bits at a time, to avoid limb-sized constants. */ - for (c = 0; x > 0; x >>= 16) - { - unsigned w = ((x >> 1) & 0x5555) + (x & 0x5555); - w = ((w >> 2) & 0x3333) + (w & 0x3333); - w = ((w >> 4) & 0x0f0f) + (w & 0x0f0f); - w = (w >> 8) + (w & 0x00ff); - c += w; - } - return c; -} - -mp_bitcnt_t -mpn_popcount (mp_srcptr p, mp_size_t n) -{ - mp_size_t i; - mp_bitcnt_t c; - - for (c = 0, i = 0; i < n; i++) - c += gmp_popcount_limb (p[i]); - - return c; -} - -mp_bitcnt_t -mpz_popcount (const mpz_t u) -{ - mp_size_t un; - - un = u->_mp_size; - - if (un < 0) - return ~(mp_bitcnt_t) 0; - - return mpn_popcount (u->_mp_d, un); -} - -mp_bitcnt_t -mpz_hamdist (const mpz_t u, const mpz_t v) -{ - mp_size_t un, vn, i; - mp_limb_t uc, vc, ul, vl, comp; - mp_srcptr up, vp; - mp_bitcnt_t c; - - un = u->_mp_size; - vn = v->_mp_size; - - if ( (un ^ vn) < 0) - return ~(mp_bitcnt_t) 0; - - comp = - (uc = vc = (un < 0)); - if (uc) - { - assert (vn < 0); - un = -un; - vn = -vn; - } - - up = u->_mp_d; - vp = v->_mp_d; - - if (un < vn) - MPN_SRCPTR_SWAP (up, un, vp, vn); - - for (i = 0, c = 0; i < vn; i++) - { - ul = (up[i] ^ comp) + uc; - uc = ul < uc; - - vl = (vp[i] ^ comp) + vc; - vc = vl < vc; - - c += gmp_popcount_limb (ul ^ vl); - } - assert (vc == 0); - - for (; i < un; i++) - { - ul = (up[i] ^ comp) + uc; - uc = ul < uc; - - c += gmp_popcount_limb (ul ^ comp); - } - - return c; -} - -mp_bitcnt_t -mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit) -{ - mp_ptr up; - mp_size_t us, un, i; - mp_limb_t limb, ux; - - us = u->_mp_size; - un = GMP_ABS (us); - i = starting_bit / GMP_LIMB_BITS; - - /* Past the end there's no 1 bits for u>=0, or an immediate 1 bit - for u<0. Notice this test picks up any u==0 too. */ - if (i >= un) - return (us >= 0 ? ~(mp_bitcnt_t) 0 : starting_bit); - - up = u->_mp_d; - ux = 0; - limb = up[i]; - - if (starting_bit != 0) - { - if (us < 0) - { - ux = mpn_zero_p (up, i); - limb = ~ limb + ux; - ux = - (mp_limb_t) (limb >= ux); - } - - /* Mask to 0 all bits before starting_bit, thus ignoring them. */ - limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS)); - } - - return mpn_common_scan (limb, i, up, un, ux); -} - -mp_bitcnt_t -mpz_scan0 (const mpz_t u, mp_bitcnt_t starting_bit) -{ - mp_ptr up; - mp_size_t us, un, i; - mp_limb_t limb, ux; - - us = u->_mp_size; - ux = - (mp_limb_t) (us >= 0); - un = GMP_ABS (us); - i = starting_bit / GMP_LIMB_BITS; - - /* When past end, there's an immediate 0 bit for u>=0, or no 0 bits for - u<0. Notice this test picks up all cases of u==0 too. */ - if (i >= un) - return (ux ? starting_bit : ~(mp_bitcnt_t) 0); - - up = u->_mp_d; - limb = up[i] ^ ux; - - if (ux == 0) - limb -= mpn_zero_p (up, i); /* limb = ~(~limb + zero_p) */ - - /* Mask all bits before starting_bit, thus ignoring them. */ - limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS)); - - return mpn_common_scan (limb, i, up, un, ux); -} - - -/* MPZ base conversion. */ - -size_t -mpz_sizeinbase (const mpz_t u, int base) -{ - mp_size_t un; - mp_srcptr up; - mp_ptr tp; - mp_bitcnt_t bits; - struct gmp_div_inverse bi; - size_t ndigits; - - assert (base >= 2); - assert (base <= 36); - - un = GMP_ABS (u->_mp_size); - if (un == 0) - return 1; - - up = u->_mp_d; - - bits = (un - 1) * GMP_LIMB_BITS + mpn_limb_size_in_base_2 (up[un-1]); - switch (base) - { - case 2: - return bits; - case 4: - return (bits + 1) / 2; - case 8: - return (bits + 2) / 3; - case 16: - return (bits + 3) / 4; - case 32: - return (bits + 4) / 5; - /* FIXME: Do something more clever for the common case of base - 10. */ - } - - tp = gmp_xalloc_limbs (un); - mpn_copyi (tp, up, un); - mpn_div_qr_1_invert (&bi, base); - - ndigits = 0; - do - { - ndigits++; - mpn_div_qr_1_preinv (tp, tp, un, &bi); - un -= (tp[un-1] == 0); - } - while (un > 0); - - gmp_free (tp); - return ndigits; -} - -char * -mpz_get_str (char *sp, int base, const mpz_t u) -{ - unsigned bits; - const char *digits; - mp_size_t un; - size_t i, sn; - - if (base >= 0) - { - digits = "0123456789abcdefghijklmnopqrstuvwxyz"; - } - else - { - base = -base; - digits = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; - } - if (base <= 1) - base = 10; - if (base > 36) - return NULL; - - sn = 1 + mpz_sizeinbase (u, base); - if (!sp) - sp = (char *) gmp_xalloc (1 + sn); - - un = GMP_ABS (u->_mp_size); - - if (un == 0) - { - sp[0] = '0'; - sp[1] = '\0'; - return sp; - } - - i = 0; - - if (u->_mp_size < 0) - sp[i++] = '-'; - - bits = mpn_base_power_of_two_p (base); - - if (bits) - /* Not modified in this case. */ - sn = i + mpn_get_str_bits ((unsigned char *) sp + i, bits, u->_mp_d, un); - else - { - struct mpn_base_info info; - mp_ptr tp; - - mpn_get_base_info (&info, base); - tp = gmp_xalloc_limbs (un); - mpn_copyi (tp, u->_mp_d, un); - - sn = i + mpn_get_str_other ((unsigned char *) sp + i, base, &info, tp, un); - gmp_free (tp); - } - - for (; i < sn; i++) - sp[i] = digits[(unsigned char) sp[i]]; - - sp[sn] = '\0'; - return sp; -} - -int -mpz_set_str (mpz_t r, const char *sp, int base) -{ - unsigned bits; - mp_size_t rn, alloc; - mp_ptr rp; - size_t dn; - int sign; - unsigned char *dp; - - assert (base == 0 || (base >= 2 && base <= 36)); - - while (isspace( (unsigned char) *sp)) - sp++; - - sign = (*sp == '-'); - sp += sign; - - if (base == 0) - { - if (sp[0] == '0') - { - if (sp[1] == 'x' || sp[1] == 'X') - { - base = 16; - sp += 2; - } - else if (sp[1] == 'b' || sp[1] == 'B') - { - base = 2; - sp += 2; - } - else - base = 8; - } - else - base = 10; - } - - if (!*sp) - { - r->_mp_size = 0; - return -1; - } - dp = (unsigned char *) gmp_xalloc (strlen (sp)); - - for (dn = 0; *sp; sp++) - { - unsigned digit; - - if (isspace ((unsigned char) *sp)) - continue; - else if (*sp >= '0' && *sp <= '9') - digit = *sp - '0'; - else if (*sp >= 'a' && *sp <= 'z') - digit = *sp - 'a' + 10; - else if (*sp >= 'A' && *sp <= 'Z') - digit = *sp - 'A' + 10; - else - digit = base; /* fail */ - - if (digit >= (unsigned) base) - { - gmp_free (dp); - r->_mp_size = 0; - return -1; - } - - dp[dn++] = digit; - } - - if (!dn) - { - gmp_free (dp); - r->_mp_size = 0; - return -1; - } - bits = mpn_base_power_of_two_p (base); - - if (bits > 0) - { - alloc = (dn * bits + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS; - rp = MPZ_REALLOC (r, alloc); - rn = mpn_set_str_bits (rp, dp, dn, bits); - } - else - { - struct mpn_base_info info; - mpn_get_base_info (&info, base); - alloc = (dn + info.exp - 1) / info.exp; - rp = MPZ_REALLOC (r, alloc); - rn = mpn_set_str_other (rp, dp, dn, base, &info); - /* Normalization, needed for all-zero input. */ - assert (rn > 0); - rn -= rp[rn-1] == 0; - } - assert (rn <= alloc); - gmp_free (dp); - - r->_mp_size = sign ? - rn : rn; - - return 0; -} - -int -mpz_init_set_str (mpz_t r, const char *sp, int base) -{ - mpz_init (r); - return mpz_set_str (r, sp, base); -} - -size_t -mpz_out_str (FILE *stream, int base, const mpz_t x) -{ - char *str; - size_t len; - - str = mpz_get_str (NULL, base, x); - len = strlen (str); - len = fwrite (str, 1, len, stream); - gmp_free (str); - return len; -} - - -static int -gmp_detect_endian (void) -{ - static const int i = 2; - const unsigned char *p = (const unsigned char *) &i; - return 1 - *p; -} - -/* Import and export. Does not support nails. */ -void -mpz_import (mpz_t r, size_t count, int order, size_t size, int endian, - size_t nails, const void *src) -{ - const unsigned char *p; - ptrdiff_t word_step; - mp_ptr rp; - mp_size_t rn; - - /* The current (partial) limb. */ - mp_limb_t limb; - /* The number of bytes already copied to this limb (starting from - the low end). */ - size_t bytes; - /* The index where the limb should be stored, when completed. */ - mp_size_t i; - - if (nails != 0) - gmp_die ("mpz_import: Nails not supported."); - - assert (order == 1 || order == -1); - assert (endian >= -1 && endian <= 1); - - if (endian == 0) - endian = gmp_detect_endian (); - - p = (unsigned char *) src; - - word_step = (order != endian) ? 2 * size : 0; - - /* Process bytes from the least significant end, so point p at the - least significant word. */ - if (order == 1) - { - p += size * (count - 1); - word_step = - word_step; - } - - /* And at least significant byte of that word. */ - if (endian == 1) - p += (size - 1); - - rn = (size * count + sizeof(mp_limb_t) - 1) / sizeof(mp_limb_t); - rp = MPZ_REALLOC (r, rn); - - for (limb = 0, bytes = 0, i = 0; count > 0; count--, p += word_step) - { - size_t j; - for (j = 0; j < size; j++, p -= (ptrdiff_t) endian) - { - limb |= (mp_limb_t) *p << (bytes++ * CHAR_BIT); - if (bytes == sizeof(mp_limb_t)) - { - rp[i++] = limb; - bytes = 0; - limb = 0; - } - } - } - assert (i + (bytes > 0) == rn); - if (limb != 0) - rp[i++] = limb; - else - i = mpn_normalized_size (rp, i); - - r->_mp_size = i; -} - -void * -mpz_export (void *r, size_t *countp, int order, size_t size, int endian, - size_t nails, const mpz_t u) -{ - size_t count; - mp_size_t un; - - if (nails != 0) - gmp_die ("mpz_import: Nails not supported."); - - assert (order == 1 || order == -1); - assert (endian >= -1 && endian <= 1); - assert (size > 0 || u->_mp_size == 0); - - un = u->_mp_size; - count = 0; - if (un != 0) - { - size_t k; - unsigned char *p; - ptrdiff_t word_step; - /* The current (partial) limb. */ - mp_limb_t limb; - /* The number of bytes left to to in this limb. */ - size_t bytes; - /* The index where the limb was read. */ - mp_size_t i; - - un = GMP_ABS (un); - - /* Count bytes in top limb. */ - limb = u->_mp_d[un-1]; - assert (limb != 0); - - k = 0; - do { - k++; limb >>= CHAR_BIT; - } while (limb != 0); - - count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size; - - if (!r) - r = gmp_xalloc (count * size); - - if (endian == 0) - endian = gmp_detect_endian (); - - p = (unsigned char *) r; - - word_step = (order != endian) ? 2 * size : 0; - - /* Process bytes from the least significant end, so point p at the - least significant word. */ - if (order == 1) - { - p += size * (count - 1); - word_step = - word_step; - } - - /* And at least significant byte of that word. */ - if (endian == 1) - p += (size - 1); - - for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step) - { - size_t j; - for (j = 0; j < size; j++, p -= (ptrdiff_t) endian) - { - if (bytes == 0) - { - if (i < un) - limb = u->_mp_d[i++]; - bytes = sizeof (mp_limb_t); - } - *p = limb; - limb >>= CHAR_BIT; - bytes--; - } - } - assert (i == un); - assert (k == count); - } - - if (countp) - *countp = count; - - return r; -} diff --git a/Qt-Secret/GMP/mini-gmp.h b/Qt-Secret/GMP/mini-gmp.h deleted file mode 100644 index 44ef5f5..0000000 --- a/Qt-Secret/GMP/mini-gmp.h +++ /dev/null @@ -1,303 +0,0 @@ -/* mini-gmp, a minimalistic implementation of a GNU GMP subset. - -Copyright 2011-2015 Free Software Foundation, Inc. - -This file is part of the GNU MP Library. - -The GNU MP Library is free software; you can redistribute it and/or modify -it under the terms of either: - - * the GNU Lesser General Public License as published by the Free - Software Foundation; either version 3 of the License, or (at your - option) any later version. - -or - - * the GNU General Public License as published by the Free Software - Foundation; either version 2 of the License, or (at your option) any - later version. - -or both in parallel, as here. - -The GNU MP Library is distributed in the hope that it will be useful, but -WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -for more details. - -You should have received copies of the GNU General Public License and the -GNU Lesser General Public License along with the GNU MP Library. If not, -see https://www.gnu.org/licenses/. */ - -/* About mini-gmp: This is a minimal implementation of a subset of the - GMP interface. It is intended for inclusion into applications which - have modest bignums needs, as a fallback when the real GMP library - is not installed. - - This file defines the public interface. */ - -#ifndef MINI_GMP -#define MINI_GMP - -/* For size_t */ -#include - -#if defined (__cplusplus) -extern "C" { -#endif - -#define UN_USED(X) (void)X - -void mp_set_memory_functions (void *(*) (size_t), - void *(*) (void *, size_t, size_t), - void (*) (void *, size_t)); - -void mp_get_memory_functions (void *(**) (size_t), - void *(**) (void *, size_t, size_t), - void (**) (void *, size_t)); - -typedef unsigned long long uIntMpz; -typedef long long intMpz; - -typedef uIntMpz mp_limb_t; -typedef intMpz mp_size_t; -typedef uIntMpz mp_bitcnt_t; - -typedef mp_limb_t *mp_ptr; -typedef const mp_limb_t *mp_srcptr; - -typedef struct -{ - int _mp_alloc; /* Number of *limbs* allocated and pointed - to by the _mp_d field. */ - int _mp_size; /* abs(_mp_size) is the number of limbs the - last field points to. If _mp_size is - negative this is a negative number. */ - mp_limb_t *_mp_d; /* Pointer to the limbs. */ -} __mpz_struct; - -typedef __mpz_struct mpz_t[1]; - -typedef __mpz_struct *mpz_ptr; -typedef const __mpz_struct *mpz_srcptr; - -extern const int mp_bits_per_limb; - -void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t); -void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t); -void mpn_zero (mp_ptr, mp_size_t); - -int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t); -int mpn_zero_p (mp_srcptr, mp_size_t); - -mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); -mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); -mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); - -mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); -mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); -mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); - -mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); -mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); -mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); - -mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); -void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); -void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t); -int mpn_perfect_square_p (mp_srcptr, mp_size_t); -mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t); - -mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); -mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); - -mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t); -mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t); - -void mpn_com (mp_ptr, mp_srcptr, mp_size_t); -mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t); - -mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t); - -mp_limb_t mpn_invert_3by2 (mp_limb_t, mp_limb_t); -#define mpn_invert_limb(x) mpn_invert_3by2 ((x), 0) - -size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t); -mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int); - -void mpz_init (mpz_t); -void mpz_init2 (mpz_t, mp_bitcnt_t); -void mpz_clear (mpz_t); - -#define mpz_odd_p(z) (((z)->_mp_size != 0) & (int) (z)->_mp_d[0]) -#define mpz_even_p(z) (! mpz_odd_p (z)) - -int mpz_sgn (const mpz_t); -int mpz_cmp_si (const mpz_t, intMpz); -int mpz_cmp_ui (const mpz_t, uIntMpz); -int mpz_cmp (const mpz_t, const mpz_t); -int mpz_cmpabs_ui (const mpz_t, uIntMpz); -int mpz_cmpabs (const mpz_t, const mpz_t); -int mpz_cmp_d (const mpz_t, double); -int mpz_cmpabs_d (const mpz_t, double); - -void mpz_abs (mpz_t, const mpz_t); -void mpz_neg (mpz_t, const mpz_t); -void mpz_swap (mpz_t, mpz_t); - -void mpz_add_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_add (mpz_t, const mpz_t, const mpz_t); -void mpz_sub_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_ui_sub (mpz_t, uIntMpz, const mpz_t); -void mpz_sub (mpz_t, const mpz_t, const mpz_t); - -void mpz_mul_si (mpz_t, const mpz_t, intMpz); -void mpz_mul_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_mul (mpz_t, const mpz_t, const mpz_t); -void mpz_mul_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_addmul_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_addmul (mpz_t, const mpz_t, const mpz_t); -void mpz_submul_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_submul (mpz_t, const mpz_t, const mpz_t); - -void mpz_cdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); -void mpz_fdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); -void mpz_tdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); -void mpz_cdiv_q (mpz_t, const mpz_t, const mpz_t); -void mpz_fdiv_q (mpz_t, const mpz_t, const mpz_t); -void mpz_tdiv_q (mpz_t, const mpz_t, const mpz_t); -void mpz_cdiv_r (mpz_t, const mpz_t, const mpz_t); -void mpz_fdiv_r (mpz_t, const mpz_t, const mpz_t); -void mpz_tdiv_r (mpz_t, const mpz_t, const mpz_t); - -void mpz_cdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_fdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_tdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_cdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_fdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); -void mpz_tdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); - -void mpz_mod (mpz_t, const mpz_t, const mpz_t); - -void mpz_divexact (mpz_t, const mpz_t, const mpz_t); - -int mpz_divisible_p (const mpz_t, const mpz_t); -int mpz_congruent_p (const mpz_t, const mpz_t, const mpz_t); - -uIntMpz mpz_cdiv_qr_ui (mpz_t, mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_fdiv_qr_ui (mpz_t, mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_tdiv_qr_ui (mpz_t, mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_cdiv_q_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_fdiv_q_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_tdiv_q_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_cdiv_r_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_fdiv_r_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_tdiv_r_ui (mpz_t, const mpz_t, uIntMpz); -uIntMpz mpz_cdiv_ui (const mpz_t, uIntMpz); -uIntMpz mpz_fdiv_ui (const mpz_t, uIntMpz); -uIntMpz mpz_tdiv_ui (const mpz_t, uIntMpz); - -uIntMpz mpz_mod_ui (mpz_t, const mpz_t, uIntMpz); - -void mpz_divexact_ui (mpz_t, const mpz_t, uIntMpz); - -int mpz_divisible_ui_p (const mpz_t, uIntMpz); - -uIntMpz mpz_gcd_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_gcd (mpz_t, const mpz_t, const mpz_t); -void mpz_gcdext (mpz_t, mpz_t, mpz_t, const mpz_t, const mpz_t); -void mpz_lcm_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_lcm (mpz_t, const mpz_t, const mpz_t); -int mpz_invert (mpz_t, const mpz_t, const mpz_t); - -void mpz_sqrtrem (mpz_t, mpz_t, const mpz_t); -void mpz_sqrt (mpz_t, const mpz_t); -int mpz_perfect_square_p (const mpz_t); - -void mpz_pow_ui (mpz_t, const mpz_t, uIntMpz); -void mpz_ui_pow_ui (mpz_t, uIntMpz, uIntMpz); -void mpz_powm (mpz_t, const mpz_t, const mpz_t, const mpz_t); -void mpz_powm_ui (mpz_t, const mpz_t, uIntMpz, const mpz_t); - -void mpz_rootrem (mpz_t, mpz_t, const mpz_t, uIntMpz); -int mpz_root (mpz_t, const mpz_t, uIntMpz); - -void mpz_fac_ui (mpz_t, uIntMpz); -void mpz_bin_uiui (mpz_t, uIntMpz, uIntMpz); - -int mpz_probab_prime_p (const mpz_t, int); - -int mpz_tstbit (const mpz_t, mp_bitcnt_t); -void mpz_setbit (mpz_t, mp_bitcnt_t); -void mpz_clrbit (mpz_t, mp_bitcnt_t); -void mpz_combit (mpz_t, mp_bitcnt_t); - -void mpz_com (mpz_t, const mpz_t); -void mpz_and (mpz_t, const mpz_t, const mpz_t); -void mpz_ior (mpz_t, const mpz_t, const mpz_t); -void mpz_xor (mpz_t, const mpz_t, const mpz_t); - -mp_bitcnt_t mpz_popcount (const mpz_t); -mp_bitcnt_t mpz_hamdist (const mpz_t, const mpz_t); -mp_bitcnt_t mpz_scan0 (const mpz_t, mp_bitcnt_t); -mp_bitcnt_t mpz_scan1 (const mpz_t, mp_bitcnt_t); - -int mpz_fits_slong_p (const mpz_t); -int mpz_fits_ulong_p (const mpz_t); -intMpz mpz_get_si (const mpz_t); -uIntMpz mpz_get_ui (const mpz_t); -double mpz_get_d (const mpz_t); -size_t mpz_size (const mpz_t); -mp_limb_t mpz_getlimbn (const mpz_t, mp_size_t); - -void mpz_realloc2 (mpz_t, mp_bitcnt_t); -mp_srcptr mpz_limbs_read (mpz_srcptr); -mp_ptr mpz_limbs_modify (mpz_t, mp_size_t); -mp_ptr mpz_limbs_write (mpz_t, mp_size_t); -void mpz_limbs_finish (mpz_t, mp_size_t); -mpz_srcptr mpz_roinit_n (mpz_t, mp_srcptr, mp_size_t); - -#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }} - -void mpz_set_si (mpz_t, intMpz); -void mpz_set_ui (mpz_t, uIntMpz); -void mpz_set (mpz_t, const mpz_t); -void mpz_set_d (mpz_t, double); - -void mpz_init_set_si (mpz_t, intMpz); -void mpz_init_set_ui (mpz_t, uIntMpz); -void mpz_init_set (mpz_t, const mpz_t); -void mpz_init_set_d (mpz_t, double); - -size_t mpz_sizeinbase (const mpz_t, int); -char *mpz_get_str (char *, int, const mpz_t); -int mpz_set_str (mpz_t, const char *, int); -int mpz_init_set_str (mpz_t, const char *, int); - -/* This long list taken from gmp.h. */ -/* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4, - defines EOF but not FILE. */ -#if defined (FILE) \ - || defined (H_STDIO) \ - || defined (_H_STDIO) /* AIX */ \ - || defined (_STDIO_H) /* glibc, Sun, SCO */ \ - || defined (_STDIO_H_) /* BSD, OSF */ \ - || defined (__STDIO_H) /* Borland */ \ - || defined (__STDIO_H__) /* IRIX */ \ - || defined (_STDIO_INCLUDED) /* HPUX */ \ - || defined (__dj_include_stdio_h_) /* DJGPP */ \ - || defined (_FILE_DEFINED) /* Microsoft */ \ - || defined (__STDIO__) /* Apple MPW MrC */ \ - || defined (_MSL_STDIO_H) /* Metrowerks */ \ - || defined (_STDIO_H_INCLUDED) /* QNX4 */ \ - || defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \ - || defined (__STDIO_LOADED) /* VMS */ -size_t mpz_out_str (FILE *, int, const mpz_t); -#endif - -void mpz_import (mpz_t, size_t, int, size_t, int, size_t, const void *); -void *mpz_export (void *, size_t *, int, size_t, int, size_t, const mpz_t); - -#if defined (__cplusplus) -} -#endif -#endif /* MINI_GMP */ diff --git a/Qt-Secret/GMP/minigmp_global.h b/Qt-Secret/GMP/minigmp_global.h deleted file mode 100644 index 5757875..0000000 --- a/Qt-Secret/GMP/minigmp_global.h +++ /dev/null @@ -1,21 +0,0 @@ -//# -//# Copyright (C) 2018-2019 QuasarApp. -//# Distributed under the lgplv3 software license, see the accompanying -//# Everyone is permitted to copy and distribute verbatim copies -//# of this license document, but changing it is not allowed. -//# - -#ifndef MINIGMP_GLOBAL_H -#define MINIGMP_GLOBAL_H - -#ifdef _WIN32 -# define MINIGMPSHARED_EXPORT __declspec(dllexport) -#endif - -#ifdef linux -# define MINIGMPSHARED_EXPORT __attribute__((visibility("default"))) -#endif - - - -#endif //MINIGMP_GLOBAL_H diff --git a/Qt-Secret/LICENSE b/Qt-Secret/LICENSE deleted file mode 100644 index 65c5ca8..0000000 --- a/Qt-Secret/LICENSE +++ /dev/null @@ -1,165 +0,0 @@ - GNU LESSER GENERAL PUBLIC LICENSE - Version 3, 29 June 2007 - - Copyright (C) 2007 Free Software Foundation, Inc. - Everyone is permitted to copy and distribute verbatim copies - of this license document, but changing it is not allowed. - - - This version of the GNU Lesser General Public License incorporates -the terms and conditions of version 3 of the GNU General Public -License, supplemented by the additional permissions listed below. - - 0. Additional Definitions. - - As used herein, "this License" refers to version 3 of the GNU Lesser -General Public License, and the "GNU GPL" refers to version 3 of the GNU -General Public License. - - "The Library" refers to a covered work governed by this License, -other than an Application or a Combined Work as defined below. - - An "Application" is any work that makes use of an interface provided -by the Library, but which is not otherwise based on the Library. -Defining a subclass of a class defined by the Library is deemed a mode -of using an interface provided by the Library. - - A "Combined Work" is a work produced by combining or linking an -Application with the Library. The particular version of the Library -with which the Combined Work was made is also called the "Linked -Version". - - The "Minimal Corresponding Source" for a Combined Work means the -Corresponding Source for the Combined Work, excluding any source code -for portions of the Combined Work that, considered in isolation, are -based on the Application, and not on the Linked Version. - - The "Corresponding Application Code" for a Combined Work means the -object code and/or source code for the Application, including any data -and utility programs needed for reproducing the Combined Work from the -Application, but excluding the System Libraries of the Combined Work. - - 1. Exception to Section 3 of the GNU GPL. - - You may convey a covered work under sections 3 and 4 of this License -without being bound by section 3 of the GNU GPL. - - 2. Conveying Modified Versions. - - If you modify a copy of the Library, and, in your modifications, a -facility refers to a function or data to be supplied by an Application -that uses the facility (other than as an argument passed when the -facility is invoked), then you may convey a copy of the modified -version: - - a) under this License, provided that you make a good faith effort to - ensure that, in the event an Application does not supply the - function or data, the facility still operates, and performs - whatever part of its purpose remains meaningful, or - - b) under the GNU GPL, with none of the additional permissions of - this License applicable to that copy. - - 3. Object Code Incorporating Material from Library Header Files. - - The object code form of an Application may incorporate material from -a header file that is part of the Library. You may convey such object -code under terms of your choice, provided that, if the incorporated -material is not limited to numerical parameters, data structure -layouts and accessors, or small macros, inline functions and templates -(ten or fewer lines in length), you do both of the following: - - a) Give prominent notice with each copy of the object code that the - Library is used in it and that the Library and its use are - covered by this License. - - b) Accompany the object code with a copy of the GNU GPL and this license - document. - - 4. Combined Works. - - You may convey a Combined Work under terms of your choice that, -taken together, effectively do not restrict modification of the -portions of the Library contained in the Combined Work and reverse -engineering for debugging such modifications, if you also do each of -the following: - - a) Give prominent notice with each copy of the Combined Work that - the Library is used in it and that the Library and its use are - covered by this License. - - b) Accompany the Combined Work with a copy of the GNU GPL and this license - document. - - c) For a Combined Work that displays copyright notices during - execution, include the copyright notice for the Library among - these notices, as well as a reference directing the user to the - copies of the GNU GPL and this license document. - - d) Do one of the following: - - 0) Convey the Minimal Corresponding Source under the terms of this - License, and the Corresponding Application Code in a form - suitable for, and under terms that permit, the user to - recombine or relink the Application with a modified version of - the Linked Version to produce a modified Combined Work, in the - manner specified by section 6 of the GNU GPL for conveying - Corresponding Source. - - 1) Use a suitable shared library mechanism for linking with the - Library. A suitable mechanism is one that (a) uses at run time - a copy of the Library already present on the user's computer - system, and (b) will operate properly with a modified version - of the Library that is interface-compatible with the Linked - Version. - - e) Provide Installation Information, but only if you would otherwise - be required to provide such information under section 6 of the - GNU GPL, and only to the extent that such information is - necessary to install and execute a modified version of the - Combined Work produced by recombining or relinking the - Application with a modified version of the Linked Version. (If - you use option 4d0, the Installation Information must accompany - the Minimal Corresponding Source and Corresponding Application - Code. If you use option 4d1, you must provide the Installation - Information in the manner specified by section 6 of the GNU GPL - for conveying Corresponding Source.) - - 5. Combined Libraries. - - You may place library facilities that are a work based on the -Library side by side in a single library together with other library -facilities that are not Applications and are not covered by this -License, and convey such a combined library under terms of your -choice, if you do both of the following: - - a) Accompany the combined library with a copy of the same work based - on the Library, uncombined with any other library facilities, - conveyed under the terms of this License. - - b) Give prominent notice with the combined library that part of it - is a work based on the Library, and explaining where to find the - accompanying uncombined form of the same work. - - 6. Revised Versions of the GNU Lesser General Public License. - - The Free Software Foundation may publish revised and/or new versions -of the GNU Lesser General Public License from time to time. Such new -versions will be similar in spirit to the present version, but may -differ in detail to address new problems or concerns. - - Each version is given a distinguishing version number. If the -Library as you received it specifies that a certain numbered version -of the GNU Lesser General Public License "or any later version" -applies to it, you have the option of following the terms and -conditions either of that published version or of any later version -published by the Free Software Foundation. If the Library as you -received it does not specify a version number of the GNU Lesser -General Public License, you may choose any version of the GNU Lesser -General Public License ever published by the Free Software Foundation. - - If the Library as you received it specifies that a proxy can decide -whether future versions of the GNU Lesser General Public License shall -apply, that proxy's public statement of acceptance of any version is -permanent authorization for you to choose that version for the -Library. diff --git a/Qt-Secret/Qt-RSA/qrsaencryption.cpp b/Qt-Secret/Qt-RSA/qrsaencryption.cpp deleted file mode 100644 index 01a3344..0000000 --- a/Qt-Secret/Qt-RSA/qrsaencryption.cpp +++ /dev/null @@ -1,403 +0,0 @@ -//# -//# Copyright (C) 2018-2019 QuasarApp. -//# Distributed under the lgplv3 software license, see the accompanying -//# Everyone is permitted to copy and distribute verbatim copies -//# of this license document, but changing it is not allowed. -//# - -#include "qrsaencryption.h" - -#include -#include -#include -#include - -#define KEY_GEN_LIMIT 10 - -const QString SIGN_MARKER = "-SIGN-"; -const int signMarkerLength = SIGN_MARKER.length(); - -QRSAEncryption::INT eulerFunc(const QRSAEncryption::INT &p, const QRSAEncryption::INT &q) { - return (p - 1) * (q - 1); -} - -bool QRSAEncryption::isMutuallyPrime(const INT &a, const INT &b) { - if ( (!(a % 2) && !(b % 2)) - || (!(a % 3) && !(b % 3)) - || (!(a % 5) && !(b % 5)) - || (!(a % 7) && !(b % 7)) - ) return false; - - return INT().gcd(a, b) == 1; -} - -QRSAEncryption::Rsa QRSAEncryption::getBitsSize(const INT &i) const { - int rsaBits = RSA_64; - int intBits = i.sizeBits(); - - while (rsaBits < intBits) { - rsaBits *= 2; - } - - return static_cast(rsaBits); - -} - -QRSAEncryption::Rsa QRSAEncryption::getBitsSize(const QByteArray &key) const { - if (isValidRsaKey(key)) { - return static_cast(key.size() * 4); - } - - return QRSAEncryption::Rsa::Invalid; -} - -QRSAEncryption::INT QRSAEncryption::fromArray(const QByteArray &array) const { - INT res = 0; - res.fromHex(array.toHex().toStdString()); - return res; -} - -QByteArray QRSAEncryption::toArray(const INT &i, short sizeBlok) { - QByteArray res; - res = QByteArray::fromHex(QByteArray::fromStdString(i.getString(16))); - - if (sizeBlok < 0) { - return res; - } - - while (res.size() < sizeBlok) { - res.push_front(char(0)); - } - - return res.left(sizeBlok); -} - -QRSAEncryption::INT QRSAEncryption::randomNumber(bool fullFill) const { - - srand(std::chrono::duration_cast - (std::chrono::system_clock::now().time_since_epoch()).count() - % std::numeric_limits::max()); - - INT res{1}; - - if(fullFill) { - - while(res.longBits() < _rsa) { - res *= (rand() % (std::numeric_limits::max() - 1)) + 1; - } - } else { - - int longDiff = _rsa / (sizeof (int) * 8); - - while (longDiff > 0) { - longDiff--; - res *= (rand() % (std::numeric_limits::max() - 1)) + 1; - } - } - - return res; -} - -QRSAEncryption::INT QRSAEncryption::toPrime(INT n) const { - if (!(n % 2)) { - ++n; - } - - INT LN = n; - INT RN = n; - - while (true) { - - if (LN.isPrime(false)) return LN; - - RN+=2; - - if (RN.isPrime(false)) return RN; - LN-=2; - } -} - -QRSAEncryption::INT QRSAEncryption::randomPrimeNumber(INT no) const { - srand(static_cast(time(nullptr))); - - // max INT - INT max('1', _rsa / 2, 2); - - auto p = toPrime(randomNumber() % max); - while(p == no) p = toPrime(randomNumber() % max); - - return p; -} - -QRSAEncryption::INT QRSAEncryption::extEuclid(INT a, INT b) const { - INT x = 0, y = 1, u = 1, v = 0, gcd = b, m, n, q, r; - while (a != 0) { - q = gcd / a; - r = gcd % a; - m = x - u * q; - n = y - v * q; - gcd = a; - a = r; - x = u; - y = v; - u = m; - v = n; - } - return y; -} - -short QRSAEncryption::getBlockSize(INT i) const { - return static_cast(i.longBytes()) - 1; -} - -QByteArray QRSAEncryption::encodeBlok(const INT &block, const INT &e, const INT &m, short blockSize) { - - return toArray(INT::powm(block, e, m), blockSize); -} - -QByteArray QRSAEncryption::decodeBlok(const INT &block, const INT &d, const INT &m, short blockSize) { - - return toArray(INT::powm(block, d, m), blockSize); -} - -QRSAEncryption::QRSAEncryption(Rsa rsa) { - _rsa = rsa; -} - -bool QRSAEncryption::generatePairKeyS(QByteArray &pubKey, QByteArray &privKey, QRSAEncryption::Rsa rsa) { - qWarning() << "method " << Q_FUNC_INFO << - " will be deleted in newxt version. please use generatePairKey method"; - return generatePairKey(pubKey, privKey, rsa); -} - -QByteArray QRSAEncryption::encodeS(const QByteArray &rawData, const QByteArray &pubKey, QRSAEncryption::Rsa rsa, QRSAEncryption::BlockSize blockSizeMode) { - qWarning() << "method " << Q_FUNC_INFO << - " will be deleted in newxt version. please use encode method"; - return encode(rawData, pubKey, rsa, blockSizeMode); - -} - -QByteArray QRSAEncryption::decodeS(const QByteArray &rawData, const QByteArray &privKey, QRSAEncryption::Rsa rsa, QRSAEncryption::BlockSize blockSizeMode) { - qWarning() << "method " << Q_FUNC_INFO << - " will be deleted in newxt version. please use decode method"; - return decode(rawData, privKey, rsa, blockSizeMode); - -} - -QByteArray QRSAEncryption::signMessageS(QByteArray rawData, const QByteArray &privKey, QRSAEncryption::Rsa rsa) { - qWarning() << "method " << Q_FUNC_INFO << - " will be deleted in newxt version. please use signMessage method"; - return signMessage(rawData, privKey, rsa); - -} - -bool QRSAEncryption::checkSignMessageS(const QByteArray &rawData, const QByteArray &pubKey, QRSAEncryption::Rsa rsa) { - qWarning() << "method " << Q_FUNC_INFO << - " will be deleted in newxt version. please use signMessage method"; - return checkSignMessage(rawData, pubKey, rsa); -} - -unsigned int QRSAEncryption::getKeyBytesSize(QRSAEncryption::Rsa rsa) { - - return rsa / 4; -} - -// --- static methods --- -bool QRSAEncryption::generatePairKey(QByteArray &pubKey, QByteArray &privKey, - QRSAEncryption::Rsa rsa) { - - return QRSAEncryption(rsa).generatePairKey(pubKey, privKey); -} - -QByteArray QRSAEncryption::encode(const QByteArray &rawData, const QByteArray &pubKey, - Rsa rsa, BlockSize blockSizeMode) { - - return QRSAEncryption(rsa).encode(rawData, pubKey, blockSizeMode); -} - -QByteArray QRSAEncryption::decode(const QByteArray &rawData, const QByteArray &privKey, - Rsa rsa, BlockSize blockSizeMode) { - - return QRSAEncryption(rsa).decode(rawData, privKey, blockSizeMode); -} - -QByteArray QRSAEncryption::signMessage(QByteArray rawData, const QByteArray &privKey, Rsa rsa) { - - return QRSAEncryption(rsa).signMessage(rawData, privKey); -} - -bool QRSAEncryption::checkSignMessage(const QByteArray &rawData, const QByteArray &pubKey, Rsa rsa) { - - return QRSAEncryption(rsa).checkSignMessage(rawData, pubKey); -} - -// --- end of static methods --- - -bool QRSAEncryption::generatePairKey(QByteArray &pubKey, QByteArray &privKey) { - - int cnt{0}; - bool keyGenRes{false}; - INT p, q, modul, eilor, e, d; - do { - - pubKey.clear(); - privKey.clear(); - - p = randomPrimeNumber(); - q = randomPrimeNumber(p); - - modul = 0; - while ((modul = p * q) < 0) { - p = toPrime((p - 1) / 2); - } - - eilor = eulerFunc(p, q); - e = randomNumber() % eilor; - - if (!(e % 2)) --e; - - do { - e -= 2; - } while((!isMutuallyPrime(eilor, e))); - - d = extEuclid(eilor , e); - - while(d < 0 ) { - d += eilor; - } - - pubKey.append(toArray(e, _rsa / 8)); - pubKey.append(toArray(modul, _rsa / 8)); - privKey.append(toArray(d, _rsa / 8)); - privKey.append(toArray(modul, _rsa / 8)); - - } while (!(keyGenRes = testKeyPair(pubKey, privKey)) && (++cnt < KEY_GEN_LIMIT)); - - if(cnt >= KEY_GEN_LIMIT) qWarning() << QString("(Warning): Exceeded limit of key generation (%0)!").arg(KEY_GEN_LIMIT); - - return (keyGenRes && cnt < KEY_GEN_LIMIT); -} - -// --- non-static methods --- -QByteArray QRSAEncryption::encode(const QByteArray &rawData, const QByteArray &pubKey, BlockSize blockSizeMode) { - - if (getBitsSize(pubKey) != _rsa) { - return QByteArray(); - } - - int index = 0; - - QByteArray block; - - INT e = fromArray(pubKey.mid(0, pubKey.size() / 2)); - INT m = fromArray(pubKey.mid(pubKey.size() / 2)); - - short blockSizeOut = getBlockSize(m) + 1; // BlockSize::OneByte - short blockSizeIn = 1; // BlockSize::OneByte - - if (blockSizeMode == BlockSize::Auto) { - blockSizeIn = getBlockSize(m); - } - - if (!blockSizeIn) { - qDebug() << "module of key small! size = 1 byte, 2 byte is minimum"; - return QByteArray(); - } - - QByteArray res; - - while ((block = rawData.mid(index, blockSizeIn)).size()) { - - if (index + blockSizeIn > rawData.size() && block.size() && !block[0]) { - qWarning() << "When trying to encrypt data, problems arose, the last block contains non-significant zeros." - " These zeros will be deleted during the decryption process." - " For encode and decode data with non-significant zeros use BlockSize::OneByte"; - } - - res.append(encodeBlok(fromArray(block), e, m, blockSizeOut)); - index += blockSizeIn; - } - - return res; - -} -QByteArray QRSAEncryption::decode(const QByteArray &rawData, const QByteArray &privKey, BlockSize blockSizeMode) { - - if (getBitsSize(privKey) != _rsa) { - return QByteArray(); - } - - int index = 0; - - QByteArray block; - - INT d = fromArray(privKey.mid(0, privKey.size() / 2)); - INT m = fromArray(privKey.mid(privKey.size() / 2)); - - short blockSizeIn = getBlockSize(m) + 1; - - short blockSizeOut = 1; // BlockSize::OneByte - if (blockSizeMode == BlockSize::Auto) { - blockSizeOut = getBlockSize(m); - } - - QByteArray res; - while ((block = rawData.mid(index, blockSizeIn)).size()) { - bool isLastBlock = (index + blockSizeIn) >= rawData.size(); - - res.append(decodeBlok(fromArray(block), d, m, - (isLastBlock && blockSizeMode == BlockSize::Auto)? -1 : blockSizeOut)); - index += blockSizeIn; - } - return res; - -} -QByteArray QRSAEncryption::signMessage(QByteArray rawData, const QByteArray &privKey) { - - QByteArray hash = QCryptographicHash::hash(rawData, HashAlgorithm::Sha256); - - QByteArray signature = encode(hash, privKey, BlockSize::OneByte); - - rawData.append(SIGN_MARKER + signature.toHex() + SIGN_MARKER); - - return rawData; -} -bool QRSAEncryption::checkSignMessage(const QByteArray &rawData, const QByteArray &pubKey) { - - // start position of SIGN_MARKER in rawData - auto signStartPos = rawData.lastIndexOf(SIGN_MARKER, rawData.length() - signMarkerLength - 1); - - // length of signature in rawData - auto signLength = rawData.length() - signStartPos - signMarkerLength * 2; - - // message, that was recieved from channel - QByteArray message = rawData.left(signStartPos); - - // hash, that was decrypt from recieved signature - QByteArray recievedHash = decode(QByteArray::fromHex(rawData.mid(signStartPos + signMarkerLength, signLength)), - pubKey, BlockSize::OneByte); - - // if recievedHash == hashAlgorithm(recived message), then signed message is valid - return recievedHash == QCryptographicHash::hash(message, HashAlgorithm::Sha256); -} - -QRSAEncryption::Rsa QRSAEncryption::getRsa() const { - return _rsa; -} - -bool QRSAEncryption::testKeyPair(const QByteArray &pubKey, const QByteArray &privKey) { - - QByteArray tesVal = "Test message of encrypkey"; - - bool result = tesVal == decode(encode(tesVal, pubKey), privKey); - - if (!result) qWarning() << "(Warning): Testkey Fail, try generate new key pair!"; - - return result; -} - -// --- end of non-static methods --- - -bool QRSAEncryption::isValidRsaKey(const QByteArray &key) { - return key.size() && ((static_cast(key.size()) % getKeyBytesSize(RSA_64)) == 0); -} diff --git a/Qt-Secret/Qt-RSA/qrsaencryption.h b/Qt-Secret/Qt-RSA/qrsaencryption.h deleted file mode 100644 index 6fdffb3..0000000 --- a/Qt-Secret/Qt-RSA/qrsaencryption.h +++ /dev/null @@ -1,116 +0,0 @@ -//# -//# Copyright (C) 2018-2019 QuasarApp. -//# Distributed under the lgplv3 software license, see the accompanying -//# Everyone is permitted to copy and distribute verbatim copies -//# of this license document, but changing it is not allowed. -//# - -#ifndef QRSAENCRYPTION_H -#define QRSAENCRYPTION_H - -#include -#include -#include -#include -#include -#include // to use sha256 -#include "./../qtsecret_global.h" - -#include - - -class Qt_SECRETSHARED_EXPORT QRSAEncryption -{ -public: - typedef BigInt INT; - typedef QCryptographicHash::Algorithm HashAlgorithm; - - enum Rsa { - Invalid = 0, - RSA_64 = 64, - RSA_128 = 128, - RSA_256 = 256, - RSA_512 = 512, - RSA_1024 = 1024, - RSA_2048 = 2048, - RSA_4096 = 4096, - RSA_8192 = 8192, - - }; - - enum BlockSize { - Auto = 0, // fast but not stable. (using by default) - OneByte = 1 // stable but slow. (using for sig and check sig messages) - }; - - - QRSAEncryption(Rsa rsa = Rsa::RSA_256); - -// static methods - - // OLDMETHODS DELETE IN next Version - static bool generatePairKeyS(QByteArray &pubKey, QByteArray &privKey, - QRSAEncryption::Rsa rsa = RSA_256); - static QByteArray encodeS(const QByteArray &rawData, const QByteArray &pubKey, - Rsa rsa = RSA_256, BlockSize blockSizeMode = BlockSize::Auto); - static QByteArray decodeS(const QByteArray &rawData, const QByteArray &privKey, - Rsa rsa = RSA_256, BlockSize blockSizeMode = BlockSize::Auto); - static QByteArray signMessageS(QByteArray rawData, const QByteArray &privKey, - Rsa rsa = RSA_256); - static bool checkSignMessageS(const QByteArray &rawData, const QByteArray &pubKey, - Rsa rsa); - // OLDMETHODS END - - static bool generatePairKey(QByteArray &pubKey, QByteArray &privKey, - QRSAEncryption::Rsa rsa); - static QByteArray encode(const QByteArray &rawData, const QByteArray &pubKey, - Rsa rsa, BlockSize blockSizeMode = BlockSize::Auto); - static QByteArray decode(const QByteArray &rawData, const QByteArray &privKey, - Rsa rsa, BlockSize blockSizeMode = BlockSize::Auto); - static QByteArray signMessage(QByteArray rawData, const QByteArray &privKey, - Rsa rsa); - static bool checkSignMessage(const QByteArray &rawData, const QByteArray &pubKey, - Rsa rsa); - static bool isValidRsaKey(const QByteArray& key); - static unsigned int getKeyBytesSize(QRSAEncryption::Rsa rsa); - -// non-static methods - bool generatePairKey(QByteArray &pubKey, QByteArray &privKey); - - QByteArray encode(const QByteArray &rawData, const QByteArray &pubKey, - BlockSize blockSizeMode = BlockSize::Auto); - - QByteArray decode(const QByteArray &rawData, const QByteArray &privKey, - BlockSize blockSizeMode = BlockSize::Auto); - - QByteArray signMessage(QByteArray rawData, const QByteArray &privKey); - - bool checkSignMessage(const QByteArray &rawData, const QByteArray &pubKey); - - Rsa getRsa() const; - -private: - - Rsa _rsa; - - bool testKeyPair(const QByteArray &pubKey, const QByteArray &privKey); - bool isMutuallyPrime(const INT &a, const INT &b); - Rsa getBitsSize(const INT& i) const; - Rsa getBitsSize(const QByteArray& array) const; - - INT fromArray(const QByteArray& array) const; - QByteArray toArray(const INT &i, short sizeBlok = -1); - INT randomNumber(bool fullFilled = true) const; - INT toPrime(INT) const; - INT randomPrimeNumber(INT no = 0) const; - INT extEuclid(INT a, INT b) const; - - short getBlockSize(INT i) const; - - QByteArray encodeBlok(const INT& block, const INT& e, const INT& m, short blockSize); - QByteArray decodeBlok(const INT& block, const INT& d, const INT& m, short blockSize); - - -}; - -#endif // QRSAENCRYPTION_H diff --git a/Qt-Secret/Qt-Secret.pri b/Qt-Secret/Qt-Secret.pri deleted file mode 100644 index dfa6c3c..0000000 --- a/Qt-Secret/Qt-Secret.pri +++ /dev/null @@ -1,24 +0,0 @@ -# -# Copyright (C) 2018-2019 QuasarApp. -# Distributed under the lgplv3 software license, see the accompanying -# Everyone is permitted to copy and distribute verbatim copies -# of this license document, but changing it is not allowed. -# - -!isEmpty(Qt_SECRET_LIB):error("Qt-Secret.pri already included") -Qt_SECRET_LIB = 1 - -DEFINES += Qt_SECRET_LIBRARY -DEFINES += QT_DEPRECATED_WARNINGS - -HEADERS += \ - $$PWD/qtsecret_global.h \ - $$PWD/Qt-RSA/qrsaencryption.h - -SOURCES += \ - $$PWD/Qt-RSA/qrsaencryption.cpp - - -INCLUDEPATH += $$PWD $$PWD/Qt-RSA - -include($$PWD/GMP/GMP.pri) diff --git a/Qt-Secret/Qt-Secret.pro b/Qt-Secret/Qt-Secret.pro deleted file mode 100644 index f62c07f..0000000 --- a/Qt-Secret/Qt-Secret.pro +++ /dev/null @@ -1,36 +0,0 @@ -# -# Copyright (C) 2018-2019 QuasarApp. -# Distributed under the lgplv3 software license, see the accompanying -# Everyone is permitted to copy and distribute verbatim copies -# of this license document, but changing it is not allowed. -# - -QT -= gui -CONFIG += c++11 - -TARGET = Qt-Secret -TEMPLATE = lib - -DEFINES += Qt_SECRET_LIBRARY -DEFINES += QT_DEPRECATED_WARNINGS - -#DEPENDS -CONFIG(release, debug|release): { - DESTDIR="$$PWD/build/release" -} else { - DESTDIR="$$PWD/build/debug" -} - -include($$PWD/GMP/GMP.pri) - -VERSION = 1.2.0 - -HEADERS += \ - qtsecret_global.h \ - Qt-RSA/qrsaencryption.h - -SOURCES += \ - Qt-RSA/qrsaencryption.cpp - -target.path = /usr/local/lib -!isEmpty(target.path): INSTALLS += target diff --git a/Qt-Secret/qtsecret_global.h b/Qt-Secret/qtsecret_global.h deleted file mode 100644 index 1893b41..0000000 --- a/Qt-Secret/qtsecret_global.h +++ /dev/null @@ -1,12 +0,0 @@ -#ifndef QTSECRET_GLOBAL_H -#define QTSECRET_GLOBAL_H - -#include - -#if defined(Qt_SECRET_LIBRARY) -# define Qt_SECRETSHARED_EXPORT Q_DECL_EXPORT -#else -# define Qt_SECRETSHARED_EXPORT Q_DECL_IMPORT -#endif - -#endif // QTSECRET_GLOBAL_H diff --git a/qt-openssl-encryption b/qt-openssl-encryption new file mode 160000 index 0000000..05fbf56 --- /dev/null +++ b/qt-openssl-encryption @@ -0,0 +1 @@ +Subproject commit 05fbf562c3435f3bbff10a68c031ff465e81d337