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Diffstat (limited to 'lib/cryptopp/integer.cpp')
| -rw-r--r-- | lib/cryptopp/integer.cpp | 4235 |
1 files changed, 0 insertions, 4235 deletions
diff --git a/lib/cryptopp/integer.cpp b/lib/cryptopp/integer.cpp deleted file mode 100644 index f07cce873..000000000 --- a/lib/cryptopp/integer.cpp +++ /dev/null @@ -1,4235 +0,0 @@ -// integer.cpp - written and placed in the public domain by Wei Dai -// contains public domain code contributed by Alister Lee and Leonard Janke - -#include "pch.h" - -#ifndef CRYPTOPP_IMPORTS - -#include "integer.h" -#include "modarith.h" -#include "nbtheory.h" -#include "asn.h" -#include "oids.h" -#include "words.h" -#include "algparam.h" -#include "pubkey.h" // for P1363_KDF2 -#include "sha.h" -#include "cpu.h" - -#include <iostream> - -#if _MSC_VER >= 1400 - #include <intrin.h> -#endif - -#ifdef __DECCXX - #include <c_asm.h> -#endif - -#ifdef CRYPTOPP_MSVC6_NO_PP - #pragma message("You do not seem to have the Visual C++ Processor Pack installed, so use of SSE2 instructions will be disabled.") -#endif - -#define CRYPTOPP_INTEGER_SSE2 (CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE && CRYPTOPP_BOOL_X86) - -NAMESPACE_BEGIN(CryptoPP) - -bool AssignIntToInteger(const std::type_info &valueType, void *pInteger, const void *pInt) -{ - if (valueType != typeid(Integer)) - return false; - *reinterpret_cast<Integer *>(pInteger) = *reinterpret_cast<const int *>(pInt); - return true; -} - -inline static int Compare(const word *A, const word *B, size_t N) -{ - while (N--) - if (A[N] > B[N]) - return 1; - else if (A[N] < B[N]) - return -1; - - return 0; -} - -inline static int Increment(word *A, size_t N, word B=1) -{ - assert(N); - word t = A[0]; - A[0] = t+B; - if (A[0] >= t) - return 0; - for (unsigned i=1; i<N; i++) - if (++A[i]) - return 0; - return 1; -} - -inline static int Decrement(word *A, size_t N, word B=1) -{ - assert(N); - word t = A[0]; - A[0] = t-B; - if (A[0] <= t) - return 0; - for (unsigned i=1; i<N; i++) - if (A[i]--) - return 0; - return 1; -} - -static void TwosComplement(word *A, size_t N) -{ - Decrement(A, N); - for (unsigned i=0; i<N; i++) - A[i] = ~A[i]; -} - -static word AtomicInverseModPower2(word A) -{ - assert(A%2==1); - - word R=A%8; - - for (unsigned i=3; i<WORD_BITS; i*=2) - R = R*(2-R*A); - - assert(R*A==1); - return R; -} - -// ******************************************************** - -#if !defined(CRYPTOPP_NATIVE_DWORD_AVAILABLE) || (defined(__x86_64__) && defined(CRYPTOPP_WORD128_AVAILABLE)) - #define Declare2Words(x) word x##0, x##1; - #define AssignWord(a, b) a##0 = b; a##1 = 0; - #define Add2WordsBy1(a, b, c) a##0 = b##0 + c; a##1 = b##1 + (a##0 < c); - #define LowWord(a) a##0 - #define HighWord(a) a##1 - #ifdef _MSC_VER - #define MultiplyWordsLoHi(p0, p1, a, b) p0 = _umul128(a, b, &p1); - #ifndef __INTEL_COMPILER - #define Double3Words(c, d) d##1 = __shiftleft128(d##0, d##1, 1); d##0 = __shiftleft128(c, d##0, 1); c *= 2; - #endif - #elif defined(__DECCXX) - #define MultiplyWordsLoHi(p0, p1, a, b) p0 = a*b; p1 = asm("umulh %a0, %a1, %v0", a, b); - #elif defined(__x86_64__) - #if defined(__SUNPRO_CC) && __SUNPRO_CC < 0x5100 - // Sun Studio's gcc-style inline assembly is heavily bugged as of version 5.9 Patch 124864-09 2008/12/16, but this one works - #define MultiplyWordsLoHi(p0, p1, a, b) asm ("mulq %3" : "=a"(p0), "=d"(p1) : "a"(a), "r"(b) : "cc"); - #else - #define MultiplyWordsLoHi(p0, p1, a, b) asm ("mulq %3" : "=a"(p0), "=d"(p1) : "a"(a), "g"(b) : "cc"); - #define MulAcc(c, d, a, b) asm ("mulq %6; addq %3, %0; adcq %4, %1; adcq $0, %2;" : "+r"(c), "+r"(d##0), "+r"(d##1), "=a"(p0), "=d"(p1) : "a"(a), "g"(b) : "cc"); - #define Double3Words(c, d) asm ("addq %0, %0; adcq %1, %1; adcq %2, %2;" : "+r"(c), "+r"(d##0), "+r"(d##1) : : "cc"); - #define Acc2WordsBy1(a, b) asm ("addq %2, %0; adcq $0, %1;" : "+r"(a##0), "+r"(a##1) : "r"(b) : "cc"); - #define Acc2WordsBy2(a, b) asm ("addq %2, %0; adcq %3, %1;" : "+r"(a##0), "+r"(a##1) : "r"(b##0), "r"(b##1) : "cc"); - #define Acc3WordsBy2(c, d, e) asm ("addq %5, %0; adcq %6, %1; adcq $0, %2;" : "+r"(c), "=r"(e##0), "=r"(e##1) : "1"(d##0), "2"(d##1), "r"(e##0), "r"(e##1) : "cc"); - #endif - #endif - #define MultiplyWords(p, a, b) MultiplyWordsLoHi(p##0, p##1, a, b) - #ifndef Double3Words - #define Double3Words(c, d) d##1 = 2*d##1 + (d##0>>(WORD_BITS-1)); d##0 = 2*d##0 + (c>>(WORD_BITS-1)); c *= 2; - #endif - #ifndef Acc2WordsBy2 - #define Acc2WordsBy2(a, b) a##0 += b##0; a##1 += a##0 < b##0; a##1 += b##1; - #endif - #define AddWithCarry(u, a, b) {word t = a+b; u##0 = t + u##1; u##1 = (t<a) + (u##0<t);} - #define SubtractWithBorrow(u, a, b) {word t = a-b; u##0 = t - u##1; u##1 = (t>a) + (u##0>t);} - #define GetCarry(u) u##1 - #define GetBorrow(u) u##1 -#else - #define Declare2Words(x) dword x; - #if _MSC_VER >= 1400 && !defined(__INTEL_COMPILER) - #define MultiplyWords(p, a, b) p = __emulu(a, b); - #else - #define MultiplyWords(p, a, b) p = (dword)a*b; - #endif - #define AssignWord(a, b) a = b; - #define Add2WordsBy1(a, b, c) a = b + c; - #define Acc2WordsBy2(a, b) a += b; - #define LowWord(a) word(a) - #define HighWord(a) word(a>>WORD_BITS) - #define Double3Words(c, d) d = 2*d + (c>>(WORD_BITS-1)); c *= 2; - #define AddWithCarry(u, a, b) u = dword(a) + b + GetCarry(u); - #define SubtractWithBorrow(u, a, b) u = dword(a) - b - GetBorrow(u); - #define GetCarry(u) HighWord(u) - #define GetBorrow(u) word(u>>(WORD_BITS*2-1)) -#endif -#ifndef MulAcc - #define MulAcc(c, d, a, b) MultiplyWords(p, a, b); Acc2WordsBy1(p, c); c = LowWord(p); Acc2WordsBy1(d, HighWord(p)); -#endif -#ifndef Acc2WordsBy1 - #define Acc2WordsBy1(a, b) Add2WordsBy1(a, a, b) -#endif -#ifndef Acc3WordsBy2 - #define Acc3WordsBy2(c, d, e) Acc2WordsBy1(e, c); c = LowWord(e); Add2WordsBy1(e, d, HighWord(e)); -#endif - -class DWord -{ -public: - DWord() {} - -#ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - explicit DWord(word low) - { - m_whole = low; - } -#else - explicit DWord(word low) - { - m_halfs.low = low; - m_halfs.high = 0; - } -#endif - - DWord(word low, word high) - { - m_halfs.low = low; - m_halfs.high = high; - } - - static DWord Multiply(word a, word b) - { - DWord r; - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - r.m_whole = (dword)a * b; - #elif defined(MultiplyWordsLoHi) - MultiplyWordsLoHi(r.m_halfs.low, r.m_halfs.high, a, b); - #endif - return r; - } - - static DWord MultiplyAndAdd(word a, word b, word c) - { - DWord r = Multiply(a, b); - return r += c; - } - - DWord & operator+=(word a) - { - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - m_whole = m_whole + a; - #else - m_halfs.low += a; - m_halfs.high += (m_halfs.low < a); - #endif - return *this; - } - - DWord operator+(word a) - { - DWord r; - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - r.m_whole = m_whole + a; - #else - r.m_halfs.low = m_halfs.low + a; - r.m_halfs.high = m_halfs.high + (r.m_halfs.low < a); - #endif - return r; - } - - DWord operator-(DWord a) - { - DWord r; - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - r.m_whole = m_whole - a.m_whole; - #else - r.m_halfs.low = m_halfs.low - a.m_halfs.low; - r.m_halfs.high = m_halfs.high - a.m_halfs.high - (r.m_halfs.low > m_halfs.low); - #endif - return r; - } - - DWord operator-(word a) - { - DWord r; - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - r.m_whole = m_whole - a; - #else - r.m_halfs.low = m_halfs.low - a; - r.m_halfs.high = m_halfs.high - (r.m_halfs.low > m_halfs.low); - #endif - return r; - } - - // returns quotient, which must fit in a word - word operator/(word divisor); - - word operator%(word a); - - bool operator!() const - { - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - return !m_whole; - #else - return !m_halfs.high && !m_halfs.low; - #endif - } - - word GetLowHalf() const {return m_halfs.low;} - word GetHighHalf() const {return m_halfs.high;} - word GetHighHalfAsBorrow() const {return 0-m_halfs.high;} - -private: - union - { - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - dword m_whole; - #endif - struct - { - #ifdef IS_LITTLE_ENDIAN - word low; - word high; - #else - word high; - word low; - #endif - } m_halfs; - }; -}; - -class Word -{ -public: - Word() {} - - Word(word value) - { - m_whole = value; - } - - Word(hword low, hword high) - { - m_whole = low | (word(high) << (WORD_BITS/2)); - } - - static Word Multiply(hword a, hword b) - { - Word r; - r.m_whole = (word)a * b; - return r; - } - - Word operator-(Word a) - { - Word r; - r.m_whole = m_whole - a.m_whole; - return r; - } - - Word operator-(hword a) - { - Word r; - r.m_whole = m_whole - a; - return r; - } - - // returns quotient, which must fit in a word - hword operator/(hword divisor) - { - return hword(m_whole / divisor); - } - - bool operator!() const - { - return !m_whole; - } - - word GetWhole() const {return m_whole;} - hword GetLowHalf() const {return hword(m_whole);} - hword GetHighHalf() const {return hword(m_whole>>(WORD_BITS/2));} - hword GetHighHalfAsBorrow() const {return 0-hword(m_whole>>(WORD_BITS/2));} - -private: - word m_whole; -}; - -// do a 3 word by 2 word divide, returns quotient and leaves remainder in A -template <class S, class D> -S DivideThreeWordsByTwo(S *A, S B0, S B1, D *dummy=NULL) -{ - // assert {A[2],A[1]} < {B1,B0}, so quotient can fit in a S - assert(A[2] < B1 || (A[2]==B1 && A[1] < B0)); - - // estimate the quotient: do a 2 S by 1 S divide - S Q; - if (S(B1+1) == 0) - Q = A[2]; - else if (B1 > 0) - Q = D(A[1], A[2]) / S(B1+1); - else - Q = D(A[0], A[1]) / B0; - - // now subtract Q*B from A - D p = D::Multiply(B0, Q); - D u = (D) A[0] - p.GetLowHalf(); - A[0] = u.GetLowHalf(); - u = (D) A[1] - p.GetHighHalf() - u.GetHighHalfAsBorrow() - D::Multiply(B1, Q); - A[1] = u.GetLowHalf(); - A[2] += u.GetHighHalf(); - - // Q <= actual quotient, so fix it - while (A[2] || A[1] > B1 || (A[1]==B1 && A[0]>=B0)) - { - u = (D) A[0] - B0; - A[0] = u.GetLowHalf(); - u = (D) A[1] - B1 - u.GetHighHalfAsBorrow(); - A[1] = u.GetLowHalf(); - A[2] += u.GetHighHalf(); - Q++; - assert(Q); // shouldn't overflow - } - - return Q; -} - -// do a 4 word by 2 word divide, returns 2 word quotient in Q0 and Q1 -template <class S, class D> -inline D DivideFourWordsByTwo(S *T, const D &Al, const D &Ah, const D &B) -{ - if (!B) // if divisor is 0, we assume divisor==2**(2*WORD_BITS) - return D(Ah.GetLowHalf(), Ah.GetHighHalf()); - else - { - S Q[2]; - T[0] = Al.GetLowHalf(); - T[1] = Al.GetHighHalf(); - T[2] = Ah.GetLowHalf(); - T[3] = Ah.GetHighHalf(); - Q[1] = DivideThreeWordsByTwo<S, D>(T+1, B.GetLowHalf(), B.GetHighHalf()); - Q[0] = DivideThreeWordsByTwo<S, D>(T, B.GetLowHalf(), B.GetHighHalf()); - return D(Q[0], Q[1]); - } -} - -// returns quotient, which must fit in a word -inline word DWord::operator/(word a) -{ - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - return word(m_whole / a); - #else - hword r[4]; - return DivideFourWordsByTwo<hword, Word>(r, m_halfs.low, m_halfs.high, a).GetWhole(); - #endif -} - -inline word DWord::operator%(word a) -{ - #ifdef CRYPTOPP_NATIVE_DWORD_AVAILABLE - return word(m_whole % a); - #else - if (a < (word(1) << (WORD_BITS/2))) - { - hword h = hword(a); - word r = m_halfs.high % h; - r = ((m_halfs.low >> (WORD_BITS/2)) + (r << (WORD_BITS/2))) % h; - return hword((hword(m_halfs.low) + (r << (WORD_BITS/2))) % h); - } - else - { - hword r[4]; - DivideFourWordsByTwo<hword, Word>(r, m_halfs.low, m_halfs.high, a); - return Word(r[0], r[1]).GetWhole(); - } - #endif -} - -// ******************************************************** - -// use some tricks to share assembly code between MSVC and GCC -#if defined(__GNUC__) - #define AddPrologue \ - int result; \ - __asm__ __volatile__ \ - ( \ - ".intel_syntax noprefix;" - #define AddEpilogue \ - ".att_syntax prefix;" \ - : "=a" (result)\ - : "d" (C), "a" (A), "D" (B), "c" (N) \ - : "%esi", "memory", "cc" \ - );\ - return result; - #define MulPrologue \ - __asm__ __volatile__ \ - ( \ - ".intel_syntax noprefix;" \ - AS1( push ebx) \ - AS2( mov ebx, edx) - #define MulEpilogue \ - AS1( pop ebx) \ - ".att_syntax prefix;" \ - : \ - : "d" (s_maskLow16), "c" (C), "a" (A), "D" (B) \ - : "%esi", "memory", "cc" \ - ); - #define SquPrologue MulPrologue - #define SquEpilogue \ - AS1( pop ebx) \ - ".att_syntax prefix;" \ - : \ - : "d" (s_maskLow16), "c" (C), "a" (A) \ - : "%esi", "%edi", "memory", "cc" \ - ); - #define TopPrologue MulPrologue - #define TopEpilogue \ - AS1( pop ebx) \ - ".att_syntax prefix;" \ - : \ - : "d" (s_maskLow16), "c" (C), "a" (A), "D" (B), "S" (L) \ - : "memory", "cc" \ - ); -#else - #define AddPrologue \ - __asm push edi \ - __asm push esi \ - __asm mov eax, [esp+12] \ - __asm mov edi, [esp+16] - #define AddEpilogue \ - __asm pop esi \ - __asm pop edi \ - __asm ret 8 -#if _MSC_VER < 1300 - #define SaveEBX __asm push ebx - #define RestoreEBX __asm pop ebx -#else - #define SaveEBX - #define RestoreEBX -#endif - #define SquPrologue \ - AS2( mov eax, A) \ - AS2( mov ecx, C) \ - SaveEBX \ - AS2( lea ebx, s_maskLow16) - #define MulPrologue \ - AS2( mov eax, A) \ - AS2( mov edi, B) \ - AS2( mov ecx, C) \ - SaveEBX \ - AS2( lea ebx, s_maskLow16) - #define TopPrologue \ - AS2( mov eax, A) \ - AS2( mov edi, B) \ - AS2( mov ecx, C) \ - AS2( mov esi, L) \ - SaveEBX \ - AS2( lea ebx, s_maskLow16) - #define SquEpilogue RestoreEBX - #define MulEpilogue RestoreEBX - #define TopEpilogue RestoreEBX -#endif - -#ifdef CRYPTOPP_X64_MASM_AVAILABLE -extern "C" { -int Baseline_Add(size_t N, word *C, const word *A, const word *B); -int Baseline_Sub(size_t N, word *C, const word *A, const word *B); -} -#elif defined(CRYPTOPP_X64_ASM_AVAILABLE) && defined(__GNUC__) && defined(CRYPTOPP_WORD128_AVAILABLE) -int Baseline_Add(size_t N, word *C, const word *A, const word *B) -{ - word result; - __asm__ __volatile__ - ( - ".intel_syntax;" - AS1( neg %1) - ASJ( jz, 1, f) - AS2( mov %0,[%3+8*%1]) - AS2( add %0,[%4+8*%1]) - AS2( mov [%2+8*%1],%0) - ASL(0) - AS2( mov %0,[%3+8*%1+8]) - AS2( adc %0,[%4+8*%1+8]) - AS2( mov [%2+8*%1+8],%0) - AS2( lea %1,[%1+2]) - ASJ( jrcxz, 1, f) - AS2( mov %0,[%3+8*%1]) - AS2( adc %0,[%4+8*%1]) - AS2( mov [%2+8*%1],%0) - ASJ( jmp, 0, b) - ASL(1) - AS2( mov %0, 0) - AS2( adc %0, %0) - ".att_syntax;" - : "=&r" (result), "+c" (N) - : "r" (C+N), "r" (A+N), "r" (B+N) - : "memory", "cc" - ); - return (int)result; -} - -int Baseline_Sub(size_t N, word *C, const word *A, const word *B) -{ - word result; - __asm__ __volatile__ - ( - ".intel_syntax;" - AS1( neg %1) - ASJ( jz, 1, f) - AS2( mov %0,[%3+8*%1]) - AS2( sub %0,[%4+8*%1]) - AS2( mov [%2+8*%1],%0) - ASL(0) - AS2( mov %0,[%3+8*%1+8]) - AS2( sbb %0,[%4+8*%1+8]) - AS2( mov [%2+8*%1+8],%0) - AS2( lea %1,[%1+2]) - ASJ( jrcxz, 1, f) - AS2( mov %0,[%3+8*%1]) - AS2( sbb %0,[%4+8*%1]) - AS2( mov [%2+8*%1],%0) - ASJ( jmp, 0, b) - ASL(1) - AS2( mov %0, 0) - AS2( adc %0, %0) - ".att_syntax;" - : "=&r" (result), "+c" (N) - : "r" (C+N), "r" (A+N), "r" (B+N) - : "memory", "cc" - ); - return (int)result; -} -#elif defined(CRYPTOPP_X86_ASM_AVAILABLE) && CRYPTOPP_BOOL_X86 -CRYPTOPP_NAKED int CRYPTOPP_FASTCALL Baseline_Add(size_t N, word *C, const word *A, const word *B) -{ - AddPrologue - - // now: eax = A, edi = B, edx = C, ecx = N - AS2( lea eax, [eax+4*ecx]) - AS2( lea edi, [edi+4*ecx]) - AS2( lea edx, [edx+4*ecx]) - - AS1( neg ecx) // ecx is negative index - AS2( test ecx, 2) // this clears carry flag - ASJ( jz, 0, f) - AS2( sub ecx, 2) - ASJ( jmp, 1, f) - - ASL(0) - ASJ( jecxz, 2, f) // loop until ecx overflows and becomes zero - AS2( mov esi,[eax+4*ecx]) - AS2( adc esi,[edi+4*ecx]) - AS2( mov [edx+4*ecx],esi) - AS2( mov esi,[eax+4*ecx+4]) - AS2( adc esi,[edi+4*ecx+4]) - AS2( mov [edx+4*ecx+4],esi) - ASL(1) - AS2( mov esi,[eax+4*ecx+8]) - AS2( adc esi,[edi+4*ecx+8]) - AS2( mov [edx+4*ecx+8],esi) - AS2( mov esi,[eax+4*ecx+12]) - AS2( adc esi,[edi+4*ecx+12]) - AS2( mov [edx+4*ecx+12],esi) - - AS2( lea ecx,[ecx+4]) // advance index, avoid inc which causes slowdown on Intel Core 2 - ASJ( jmp, 0, b) - - ASL(2) - AS2( mov eax, 0) - AS1( setc al) // store carry into eax (return result register) - - AddEpilogue -} - -CRYPTOPP_NAKED int CRYPTOPP_FASTCALL Baseline_Sub(size_t N, word *C, const word *A, const word *B) -{ - AddPrologue - - // now: eax = A, edi = B, edx = C, ecx = N - AS2( lea eax, [eax+4*ecx]) - AS2( lea edi, [edi+4*ecx]) - AS2( lea edx, [edx+4*ecx]) - - AS1( neg ecx) // ecx is negative index - AS2( test ecx, 2) // this clears carry flag - ASJ( jz, 0, f) - AS2( sub ecx, 2) - ASJ( jmp, 1, f) - - ASL(0) - ASJ( jecxz, 2, f) // loop until ecx overflows and becomes zero - AS2( mov esi,[eax+4*ecx]) - AS2( sbb esi,[edi+4*ecx]) - AS2( mov [edx+4*ecx],esi) - AS2( mov esi,[eax+4*ecx+4]) - AS2( sbb esi,[edi+4*ecx+4]) - AS2( mov [edx+4*ecx+4],esi) - ASL(1) - AS2( mov esi,[eax+4*ecx+8]) - AS2( sbb esi,[edi+4*ecx+8]) - AS2( mov [edx+4*ecx+8],esi) - AS2( mov esi,[eax+4*ecx+12]) - AS2( sbb esi,[edi+4*ecx+12]) - AS2( mov [edx+4*ecx+12],esi) - - AS2( lea ecx,[ecx+4]) // advance index, avoid inc which causes slowdown on Intel Core 2 - ASJ( jmp, 0, b) - - ASL(2) - AS2( mov eax, 0) - AS1( setc al) // store carry into eax (return result register) - - AddEpilogue -} - -#if CRYPTOPP_INTEGER_SSE2 -CRYPTOPP_NAKED int CRYPTOPP_FASTCALL SSE2_Add(size_t N, word *C, const word *A, const word *B) -{ - AddPrologue - - // now: eax = A, edi = B, edx = C, ecx = N - AS2( lea eax, [eax+4*ecx]) - AS2( lea edi, [edi+4*ecx]) - AS2( lea edx, [edx+4*ecx]) - - AS1( neg ecx) // ecx is negative index - AS2( pxor mm2, mm2) - ASJ( jz, 2, f) - AS2( test ecx, 2) // this clears carry flag - ASJ( jz, 0, f) - AS2( sub ecx, 2) - ASJ( jmp, 1, f) - - ASL(0) - AS2( movd mm0, DWORD PTR [eax+4*ecx]) - AS2( movd mm1, DWORD PTR [edi+4*ecx]) - AS2( paddq mm0, mm1) - AS2( paddq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx], mm2) - AS2( psrlq mm2, 32) - - AS2( movd mm0, DWORD PTR [eax+4*ecx+4]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+4]) - AS2( paddq mm0, mm1) - AS2( paddq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx+4], mm2) - AS2( psrlq mm2, 32) - - ASL(1) - AS2( movd mm0, DWORD PTR [eax+4*ecx+8]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+8]) - AS2( paddq mm0, mm1) - AS2( paddq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx+8], mm2) - AS2( psrlq mm2, 32) - - AS2( movd mm0, DWORD PTR [eax+4*ecx+12]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+12]) - AS2( paddq mm0, mm1) - AS2( paddq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx+12], mm2) - AS2( psrlq mm2, 32) - - AS2( add ecx, 4) - ASJ( jnz, 0, b) - - ASL(2) - AS2( movd eax, mm2) - AS1( emms) - - AddEpilogue -} -CRYPTOPP_NAKED int CRYPTOPP_FASTCALL SSE2_Sub(size_t N, word *C, const word *A, const word *B) -{ - AddPrologue - - // now: eax = A, edi = B, edx = C, ecx = N - AS2( lea eax, [eax+4*ecx]) - AS2( lea edi, [edi+4*ecx]) - AS2( lea edx, [edx+4*ecx]) - - AS1( neg ecx) // ecx is negative index - AS2( pxor mm2, mm2) - ASJ( jz, 2, f) - AS2( test ecx, 2) // this clears carry flag - ASJ( jz, 0, f) - AS2( sub ecx, 2) - ASJ( jmp, 1, f) - - ASL(0) - AS2( movd mm0, DWORD PTR [eax+4*ecx]) - AS2( movd mm1, DWORD PTR [edi+4*ecx]) - AS2( psubq mm0, mm1) - AS2( psubq mm0, mm2) - AS2( movd DWORD PTR [edx+4*ecx], mm0) - AS2( psrlq mm0, 63) - - AS2( movd mm2, DWORD PTR [eax+4*ecx+4]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+4]) - AS2( psubq mm2, mm1) - AS2( psubq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx+4], mm2) - AS2( psrlq mm2, 63) - - ASL(1) - AS2( movd mm0, DWORD PTR [eax+4*ecx+8]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+8]) - AS2( psubq mm0, mm1) - AS2( psubq mm0, mm2) - AS2( movd DWORD PTR [edx+4*ecx+8], mm0) - AS2( psrlq mm0, 63) - - AS2( movd mm2, DWORD PTR [eax+4*ecx+12]) - AS2( movd mm1, DWORD PTR [edi+4*ecx+12]) - AS2( psubq mm2, mm1) - AS2( psubq mm2, mm0) - AS2( movd DWORD PTR [edx+4*ecx+12], mm2) - AS2( psrlq mm2, 63) - - AS2( add ecx, 4) - ASJ( jnz, 0, b) - - ASL(2) - AS2( movd eax, mm2) - AS1( emms) - - AddEpilogue -} -#endif // #if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE -#else -int CRYPTOPP_FASTCALL Baseline_Add(size_t N, word *C, const word *A, const word *B) -{ - assert (N%2 == 0); - - Declare2Words(u); - AssignWord(u, 0); - for (size_t i=0; i<N; i+=2) - { - AddWithCarry(u, A[i], B[i]); - C[i] = LowWord(u); - AddWithCarry(u, A[i+1], B[i+1]); - C[i+1] = LowWord(u); - } - return int(GetCarry(u)); -} - -int CRYPTOPP_FASTCALL Baseline_Sub(size_t N, word *C, const word *A, const word *B) -{ - assert (N%2 == 0); - - Declare2Words(u); - AssignWord(u, 0); - for (size_t i=0; i<N; i+=2) - { - SubtractWithBorrow(u, A[i], B[i]); - C[i] = LowWord(u); - SubtractWithBorrow(u, A[i+1], B[i+1]); - C[i+1] = LowWord(u); - } - return int(GetBorrow(u)); -} -#endif - -static word LinearMultiply(word *C, const word *A, word B, size_t N) -{ - word carry=0; - for(unsigned i=0; i<N; i++) - { - Declare2Words(p); - MultiplyWords(p, A[i], B); - Acc2WordsBy1(p, carry); - C[i] = LowWord(p); - carry = HighWord(p); - } - return carry; -} - -#ifndef CRYPTOPP_DOXYGEN_PROCESSING - -#define Mul_2 \ - Mul_Begin(2) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_End(1, 1) - -#define Mul_4 \ - Mul_Begin(4) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 0, 2) Mul_Acc(1, 1) Mul_Acc(2, 0) \ - Mul_SaveAcc(2, 0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Mul_SaveAcc(3, 1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) \ - Mul_SaveAcc(4, 2, 3) Mul_Acc(3, 2) \ - Mul_End(5, 3) - -#define Mul_8 \ - Mul_Begin(8) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 0, 2) Mul_Acc(1, 1) Mul_Acc(2, 0) \ - Mul_SaveAcc(2, 0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Mul_SaveAcc(3, 0, 4) Mul_Acc(1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) Mul_Acc(4, 0) \ - Mul_SaveAcc(4, 0, 5) Mul_Acc(1, 4) Mul_Acc(2, 3) Mul_Acc(3, 2) Mul_Acc(4, 1) Mul_Acc(5, 0) \ - Mul_SaveAcc(5, 0, 6) Mul_Acc(1, 5) Mul_Acc(2, 4) Mul_Acc(3, 3) Mul_Acc(4, 2) Mul_Acc(5, 1) Mul_Acc(6, 0) \ - Mul_SaveAcc(6, 0, 7) Mul_Acc(1, 6) Mul_Acc(2, 5) Mul_Acc(3, 4) Mul_Acc(4, 3) Mul_Acc(5, 2) Mul_Acc(6, 1) Mul_Acc(7, 0) \ - Mul_SaveAcc(7, 1, 7) Mul_Acc(2, 6) Mul_Acc(3, 5) Mul_Acc(4, 4) Mul_Acc(5, 3) Mul_Acc(6, 2) Mul_Acc(7, 1) \ - Mul_SaveAcc(8, 2, 7) Mul_Acc(3, 6) Mul_Acc(4, 5) Mul_Acc(5, 4) Mul_Acc(6, 3) Mul_Acc(7, 2) \ - Mul_SaveAcc(9, 3, 7) Mul_Acc(4, 6) Mul_Acc(5, 5) Mul_Acc(6, 4) Mul_Acc(7, 3) \ - Mul_SaveAcc(10, 4, 7) Mul_Acc(5, 6) Mul_Acc(6, 5) Mul_Acc(7, 4) \ - Mul_SaveAcc(11, 5, 7) Mul_Acc(6, 6) Mul_Acc(7, 5) \ - Mul_SaveAcc(12, 6, 7) Mul_Acc(7, 6) \ - Mul_End(13, 7) - -#define Mul_16 \ - Mul_Begin(16) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 0, 2) Mul_Acc(1, 1) Mul_Acc(2, 0) \ - Mul_SaveAcc(2, 0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Mul_SaveAcc(3, 0, 4) Mul_Acc(1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) Mul_Acc(4, 0) \ - Mul_SaveAcc(4, 0, 5) Mul_Acc(1, 4) Mul_Acc(2, 3) Mul_Acc(3, 2) Mul_Acc(4, 1) Mul_Acc(5, 0) \ - Mul_SaveAcc(5, 0, 6) Mul_Acc(1, 5) Mul_Acc(2, 4) Mul_Acc(3, 3) Mul_Acc(4, 2) Mul_Acc(5, 1) Mul_Acc(6, 0) \ - Mul_SaveAcc(6, 0, 7) Mul_Acc(1, 6) Mul_Acc(2, 5) Mul_Acc(3, 4) Mul_Acc(4, 3) Mul_Acc(5, 2) Mul_Acc(6, 1) Mul_Acc(7, 0) \ - Mul_SaveAcc(7, 0, 8) Mul_Acc(1, 7) Mul_Acc(2, 6) Mul_Acc(3, 5) Mul_Acc(4, 4) Mul_Acc(5, 3) Mul_Acc(6, 2) Mul_Acc(7, 1) Mul_Acc(8, 0) \ - Mul_SaveAcc(8, 0, 9) Mul_Acc(1, 8) Mul_Acc(2, 7) Mul_Acc(3, 6) Mul_Acc(4, 5) Mul_Acc(5, 4) Mul_Acc(6, 3) Mul_Acc(7, 2) Mul_Acc(8, 1) Mul_Acc(9, 0) \ - Mul_SaveAcc(9, 0, 10) Mul_Acc(1, 9) Mul_Acc(2, 8) Mul_Acc(3, 7) Mul_Acc(4, 6) Mul_Acc(5, 5) Mul_Acc(6, 4) Mul_Acc(7, 3) Mul_Acc(8, 2) Mul_Acc(9, 1) Mul_Acc(10, 0) \ - Mul_SaveAcc(10, 0, 11) Mul_Acc(1, 10) Mul_Acc(2, 9) Mul_Acc(3, 8) Mul_Acc(4, 7) Mul_Acc(5, 6) Mul_Acc(6, 5) Mul_Acc(7, 4) Mul_Acc(8, 3) Mul_Acc(9, 2) Mul_Acc(10, 1) Mul_Acc(11, 0) \ - Mul_SaveAcc(11, 0, 12) Mul_Acc(1, 11) Mul_Acc(2, 10) Mul_Acc(3, 9) Mul_Acc(4, 8) Mul_Acc(5, 7) Mul_Acc(6, 6) Mul_Acc(7, 5) Mul_Acc(8, 4) Mul_Acc(9, 3) Mul_Acc(10, 2) Mul_Acc(11, 1) Mul_Acc(12, 0) \ - Mul_SaveAcc(12, 0, 13) Mul_Acc(1, 12) Mul_Acc(2, 11) Mul_Acc(3, 10) Mul_Acc(4, 9) Mul_Acc(5, 8) Mul_Acc(6, 7) Mul_Acc(7, 6) Mul_Acc(8, 5) Mul_Acc(9, 4) Mul_Acc(10, 3) Mul_Acc(11, 2) Mul_Acc(12, 1) Mul_Acc(13, 0) \ - Mul_SaveAcc(13, 0, 14) Mul_Acc(1, 13) Mul_Acc(2, 12) Mul_Acc(3, 11) Mul_Acc(4, 10) Mul_Acc(5, 9) Mul_Acc(6, 8) Mul_Acc(7, 7) Mul_Acc(8, 6) Mul_Acc(9, 5) Mul_Acc(10, 4) Mul_Acc(11, 3) Mul_Acc(12, 2) Mul_Acc(13, 1) Mul_Acc(14, 0) \ - Mul_SaveAcc(14, 0, 15) Mul_Acc(1, 14) Mul_Acc(2, 13) Mul_Acc(3, 12) Mul_Acc(4, 11) Mul_Acc(5, 10) Mul_Acc(6, 9) Mul_Acc(7, 8) Mul_Acc(8, 7) Mul_Acc(9, 6) Mul_Acc(10, 5) Mul_Acc(11, 4) Mul_Acc(12, 3) Mul_Acc(13, 2) Mul_Acc(14, 1) Mul_Acc(15, 0) \ - Mul_SaveAcc(15, 1, 15) Mul_Acc(2, 14) Mul_Acc(3, 13) Mul_Acc(4, 12) Mul_Acc(5, 11) Mul_Acc(6, 10) Mul_Acc(7, 9) Mul_Acc(8, 8) Mul_Acc(9, 7) Mul_Acc(10, 6) Mul_Acc(11, 5) Mul_Acc(12, 4) Mul_Acc(13, 3) Mul_Acc(14, 2) Mul_Acc(15, 1) \ - Mul_SaveAcc(16, 2, 15) Mul_Acc(3, 14) Mul_Acc(4, 13) Mul_Acc(5, 12) Mul_Acc(6, 11) Mul_Acc(7, 10) Mul_Acc(8, 9) Mul_Acc(9, 8) Mul_Acc(10, 7) Mul_Acc(11, 6) Mul_Acc(12, 5) Mul_Acc(13, 4) Mul_Acc(14, 3) Mul_Acc(15, 2) \ - Mul_SaveAcc(17, 3, 15) Mul_Acc(4, 14) Mul_Acc(5, 13) Mul_Acc(6, 12) Mul_Acc(7, 11) Mul_Acc(8, 10) Mul_Acc(9, 9) Mul_Acc(10, 8) Mul_Acc(11, 7) Mul_Acc(12, 6) Mul_Acc(13, 5) Mul_Acc(14, 4) Mul_Acc(15, 3) \ - Mul_SaveAcc(18, 4, 15) Mul_Acc(5, 14) Mul_Acc(6, 13) Mul_Acc(7, 12) Mul_Acc(8, 11) Mul_Acc(9, 10) Mul_Acc(10, 9) Mul_Acc(11, 8) Mul_Acc(12, 7) Mul_Acc(13, 6) Mul_Acc(14, 5) Mul_Acc(15, 4) \ - Mul_SaveAcc(19, 5, 15) Mul_Acc(6, 14) Mul_Acc(7, 13) Mul_Acc(8, 12) Mul_Acc(9, 11) Mul_Acc(10, 10) Mul_Acc(11, 9) Mul_Acc(12, 8) Mul_Acc(13, 7) Mul_Acc(14, 6) Mul_Acc(15, 5) \ - Mul_SaveAcc(20, 6, 15) Mul_Acc(7, 14) Mul_Acc(8, 13) Mul_Acc(9, 12) Mul_Acc(10, 11) Mul_Acc(11, 10) Mul_Acc(12, 9) Mul_Acc(13, 8) Mul_Acc(14, 7) Mul_Acc(15, 6) \ - Mul_SaveAcc(21, 7, 15) Mul_Acc(8, 14) Mul_Acc(9, 13) Mul_Acc(10, 12) Mul_Acc(11, 11) Mul_Acc(12, 10) Mul_Acc(13, 9) Mul_Acc(14, 8) Mul_Acc(15, 7) \ - Mul_SaveAcc(22, 8, 15) Mul_Acc(9, 14) Mul_Acc(10, 13) Mul_Acc(11, 12) Mul_Acc(12, 11) Mul_Acc(13, 10) Mul_Acc(14, 9) Mul_Acc(15, 8) \ - Mul_SaveAcc(23, 9, 15) Mul_Acc(10, 14) Mul_Acc(11, 13) Mul_Acc(12, 12) Mul_Acc(13, 11) Mul_Acc(14, 10) Mul_Acc(15, 9) \ - Mul_SaveAcc(24, 10, 15) Mul_Acc(11, 14) Mul_Acc(12, 13) Mul_Acc(13, 12) Mul_Acc(14, 11) Mul_Acc(15, 10) \ - Mul_SaveAcc(25, 11, 15) Mul_Acc(12, 14) Mul_Acc(13, 13) Mul_Acc(14, 12) Mul_Acc(15, 11) \ - Mul_SaveAcc(26, 12, 15) Mul_Acc(13, 14) Mul_Acc(14, 13) Mul_Acc(15, 12) \ - Mul_SaveAcc(27, 13, 15) Mul_Acc(14, 14) Mul_Acc(15, 13) \ - Mul_SaveAcc(28, 14, 15) Mul_Acc(15, 14) \ - Mul_End(29, 15) - -#define Squ_2 \ - Squ_Begin(2) \ - Squ_End(2) - -#define Squ_4 \ - Squ_Begin(4) \ - Squ_SaveAcc(1, 0, 2) Squ_Diag(1) \ - Squ_SaveAcc(2, 0, 3) Squ_Acc(1, 2) Squ_NonDiag \ - Squ_SaveAcc(3, 1, 3) Squ_Diag(2) \ - Squ_SaveAcc(4, 2, 3) Squ_NonDiag \ - Squ_End(4) - -#define Squ_8 \ - Squ_Begin(8) \ - Squ_SaveAcc(1, 0, 2) Squ_Diag(1) \ - Squ_SaveAcc(2, 0, 3) Squ_Acc(1, 2) Squ_NonDiag \ - Squ_SaveAcc(3, 0, 4) Squ_Acc(1, 3) Squ_Diag(2) \ - Squ_SaveAcc(4, 0, 5) Squ_Acc(1, 4) Squ_Acc(2, 3) Squ_NonDiag \ - Squ_SaveAcc(5, 0, 6) Squ_Acc(1, 5) Squ_Acc(2, 4) Squ_Diag(3) \ - Squ_SaveAcc(6, 0, 7) Squ_Acc(1, 6) Squ_Acc(2, 5) Squ_Acc(3, 4) Squ_NonDiag \ - Squ_SaveAcc(7, 1, 7) Squ_Acc(2, 6) Squ_Acc(3, 5) Squ_Diag(4) \ - Squ_SaveAcc(8, 2, 7) Squ_Acc(3, 6) Squ_Acc(4, 5) Squ_NonDiag \ - Squ_SaveAcc(9, 3, 7) Squ_Acc(4, 6) Squ_Diag(5) \ - Squ_SaveAcc(10, 4, 7) Squ_Acc(5, 6) Squ_NonDiag \ - Squ_SaveAcc(11, 5, 7) Squ_Diag(6) \ - Squ_SaveAcc(12, 6, 7) Squ_NonDiag \ - Squ_End(8) - -#define Squ_16 \ - Squ_Begin(16) \ - Squ_SaveAcc(1, 0, 2) Squ_Diag(1) \ - Squ_SaveAcc(2, 0, 3) Squ_Acc(1, 2) Squ_NonDiag \ - Squ_SaveAcc(3, 0, 4) Squ_Acc(1, 3) Squ_Diag(2) \ - Squ_SaveAcc(4, 0, 5) Squ_Acc(1, 4) Squ_Acc(2, 3) Squ_NonDiag \ - Squ_SaveAcc(5, 0, 6) Squ_Acc(1, 5) Squ_Acc(2, 4) Squ_Diag(3) \ - Squ_SaveAcc(6, 0, 7) Squ_Acc(1, 6) Squ_Acc(2, 5) Squ_Acc(3, 4) Squ_NonDiag \ - Squ_SaveAcc(7, 0, 8) Squ_Acc(1, 7) Squ_Acc(2, 6) Squ_Acc(3, 5) Squ_Diag(4) \ - Squ_SaveAcc(8, 0, 9) Squ_Acc(1, 8) Squ_Acc(2, 7) Squ_Acc(3, 6) Squ_Acc(4, 5) Squ_NonDiag \ - Squ_SaveAcc(9, 0, 10) Squ_Acc(1, 9) Squ_Acc(2, 8) Squ_Acc(3, 7) Squ_Acc(4, 6) Squ_Diag(5) \ - Squ_SaveAcc(10, 0, 11) Squ_Acc(1, 10) Squ_Acc(2, 9) Squ_Acc(3, 8) Squ_Acc(4, 7) Squ_Acc(5, 6) Squ_NonDiag \ - Squ_SaveAcc(11, 0, 12) Squ_Acc(1, 11) Squ_Acc(2, 10) Squ_Acc(3, 9) Squ_Acc(4, 8) Squ_Acc(5, 7) Squ_Diag(6) \ - Squ_SaveAcc(12, 0, 13) Squ_Acc(1, 12) Squ_Acc(2, 11) Squ_Acc(3, 10) Squ_Acc(4, 9) Squ_Acc(5, 8) Squ_Acc(6, 7) Squ_NonDiag \ - Squ_SaveAcc(13, 0, 14) Squ_Acc(1, 13) Squ_Acc(2, 12) Squ_Acc(3, 11) Squ_Acc(4, 10) Squ_Acc(5, 9) Squ_Acc(6, 8) Squ_Diag(7) \ - Squ_SaveAcc(14, 0, 15) Squ_Acc(1, 14) Squ_Acc(2, 13) Squ_Acc(3, 12) Squ_Acc(4, 11) Squ_Acc(5, 10) Squ_Acc(6, 9) Squ_Acc(7, 8) Squ_NonDiag \ - Squ_SaveAcc(15, 1, 15) Squ_Acc(2, 14) Squ_Acc(3, 13) Squ_Acc(4, 12) Squ_Acc(5, 11) Squ_Acc(6, 10) Squ_Acc(7, 9) Squ_Diag(8) \ - Squ_SaveAcc(16, 2, 15) Squ_Acc(3, 14) Squ_Acc(4, 13) Squ_Acc(5, 12) Squ_Acc(6, 11) Squ_Acc(7, 10) Squ_Acc(8, 9) Squ_NonDiag \ - Squ_SaveAcc(17, 3, 15) Squ_Acc(4, 14) Squ_Acc(5, 13) Squ_Acc(6, 12) Squ_Acc(7, 11) Squ_Acc(8, 10) Squ_Diag(9) \ - Squ_SaveAcc(18, 4, 15) Squ_Acc(5, 14) Squ_Acc(6, 13) Squ_Acc(7, 12) Squ_Acc(8, 11) Squ_Acc(9, 10) Squ_NonDiag \ - Squ_SaveAcc(19, 5, 15) Squ_Acc(6, 14) Squ_Acc(7, 13) Squ_Acc(8, 12) Squ_Acc(9, 11) Squ_Diag(10) \ - Squ_SaveAcc(20, 6, 15) Squ_Acc(7, 14) Squ_Acc(8, 13) Squ_Acc(9, 12) Squ_Acc(10, 11) Squ_NonDiag \ - Squ_SaveAcc(21, 7, 15) Squ_Acc(8, 14) Squ_Acc(9, 13) Squ_Acc(10, 12) Squ_Diag(11) \ - Squ_SaveAcc(22, 8, 15) Squ_Acc(9, 14) Squ_Acc(10, 13) Squ_Acc(11, 12) Squ_NonDiag \ - Squ_SaveAcc(23, 9, 15) Squ_Acc(10, 14) Squ_Acc(11, 13) Squ_Diag(12) \ - Squ_SaveAcc(24, 10, 15) Squ_Acc(11, 14) Squ_Acc(12, 13) Squ_NonDiag \ - Squ_SaveAcc(25, 11, 15) Squ_Acc(12, 14) Squ_Diag(13) \ - Squ_SaveAcc(26, 12, 15) Squ_Acc(13, 14) Squ_NonDiag \ - Squ_SaveAcc(27, 13, 15) Squ_Diag(14) \ - Squ_SaveAcc(28, 14, 15) Squ_NonDiag \ - Squ_End(16) - -#define Bot_2 \ - Mul_Begin(2) \ - Bot_SaveAcc(0, 0, 1) Bot_Acc(1, 0) \ - Bot_End(2) - -#define Bot_4 \ - Mul_Begin(4) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 2, 0) Mul_Acc(1, 1) Mul_Acc(0, 2) \ - Bot_SaveAcc(2, 0, 3) Bot_Acc(1, 2) Bot_Acc(2, 1) Bot_Acc(3, 0) \ - Bot_End(4) - -#define Bot_8 \ - Mul_Begin(8) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 0, 2) Mul_Acc(1, 1) Mul_Acc(2, 0) \ - Mul_SaveAcc(2, 0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Mul_SaveAcc(3, 0, 4) Mul_Acc(1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) Mul_Acc(4, 0) \ - Mul_SaveAcc(4, 0, 5) Mul_Acc(1, 4) Mul_Acc(2, 3) Mul_Acc(3, 2) Mul_Acc(4, 1) Mul_Acc(5, 0) \ - Mul_SaveAcc(5, 0, 6) Mul_Acc(1, 5) Mul_Acc(2, 4) Mul_Acc(3, 3) Mul_Acc(4, 2) Mul_Acc(5, 1) Mul_Acc(6, 0) \ - Bot_SaveAcc(6, 0, 7) Bot_Acc(1, 6) Bot_Acc(2, 5) Bot_Acc(3, 4) Bot_Acc(4, 3) Bot_Acc(5, 2) Bot_Acc(6, 1) Bot_Acc(7, 0) \ - Bot_End(8) - -#define Bot_16 \ - Mul_Begin(16) \ - Mul_SaveAcc(0, 0, 1) Mul_Acc(1, 0) \ - Mul_SaveAcc(1, 0, 2) Mul_Acc(1, 1) Mul_Acc(2, 0) \ - Mul_SaveAcc(2, 0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Mul_SaveAcc(3, 0, 4) Mul_Acc(1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) Mul_Acc(4, 0) \ - Mul_SaveAcc(4, 0, 5) Mul_Acc(1, 4) Mul_Acc(2, 3) Mul_Acc(3, 2) Mul_Acc(4, 1) Mul_Acc(5, 0) \ - Mul_SaveAcc(5, 0, 6) Mul_Acc(1, 5) Mul_Acc(2, 4) Mul_Acc(3, 3) Mul_Acc(4, 2) Mul_Acc(5, 1) Mul_Acc(6, 0) \ - Mul_SaveAcc(6, 0, 7) Mul_Acc(1, 6) Mul_Acc(2, 5) Mul_Acc(3, 4) Mul_Acc(4, 3) Mul_Acc(5, 2) Mul_Acc(6, 1) Mul_Acc(7, 0) \ - Mul_SaveAcc(7, 0, 8) Mul_Acc(1, 7) Mul_Acc(2, 6) Mul_Acc(3, 5) Mul_Acc(4, 4) Mul_Acc(5, 3) Mul_Acc(6, 2) Mul_Acc(7, 1) Mul_Acc(8, 0) \ - Mul_SaveAcc(8, 0, 9) Mul_Acc(1, 8) Mul_Acc(2, 7) Mul_Acc(3, 6) Mul_Acc(4, 5) Mul_Acc(5, 4) Mul_Acc(6, 3) Mul_Acc(7, 2) Mul_Acc(8, 1) Mul_Acc(9, 0) \ - Mul_SaveAcc(9, 0, 10) Mul_Acc(1, 9) Mul_Acc(2, 8) Mul_Acc(3, 7) Mul_Acc(4, 6) Mul_Acc(5, 5) Mul_Acc(6, 4) Mul_Acc(7, 3) Mul_Acc(8, 2) Mul_Acc(9, 1) Mul_Acc(10, 0) \ - Mul_SaveAcc(10, 0, 11) Mul_Acc(1, 10) Mul_Acc(2, 9) Mul_Acc(3, 8) Mul_Acc(4, 7) Mul_Acc(5, 6) Mul_Acc(6, 5) Mul_Acc(7, 4) Mul_Acc(8, 3) Mul_Acc(9, 2) Mul_Acc(10, 1) Mul_Acc(11, 0) \ - Mul_SaveAcc(11, 0, 12) Mul_Acc(1, 11) Mul_Acc(2, 10) Mul_Acc(3, 9) Mul_Acc(4, 8) Mul_Acc(5, 7) Mul_Acc(6, 6) Mul_Acc(7, 5) Mul_Acc(8, 4) Mul_Acc(9, 3) Mul_Acc(10, 2) Mul_Acc(11, 1) Mul_Acc(12, 0) \ - Mul_SaveAcc(12, 0, 13) Mul_Acc(1, 12) Mul_Acc(2, 11) Mul_Acc(3, 10) Mul_Acc(4, 9) Mul_Acc(5, 8) Mul_Acc(6, 7) Mul_Acc(7, 6) Mul_Acc(8, 5) Mul_Acc(9, 4) Mul_Acc(10, 3) Mul_Acc(11, 2) Mul_Acc(12, 1) Mul_Acc(13, 0) \ - Mul_SaveAcc(13, 0, 14) Mul_Acc(1, 13) Mul_Acc(2, 12) Mul_Acc(3, 11) Mul_Acc(4, 10) Mul_Acc(5, 9) Mul_Acc(6, 8) Mul_Acc(7, 7) Mul_Acc(8, 6) Mul_Acc(9, 5) Mul_Acc(10, 4) Mul_Acc(11, 3) Mul_Acc(12, 2) Mul_Acc(13, 1) Mul_Acc(14, 0) \ - Bot_SaveAcc(14, 0, 15) Bot_Acc(1, 14) Bot_Acc(2, 13) Bot_Acc(3, 12) Bot_Acc(4, 11) Bot_Acc(5, 10) Bot_Acc(6, 9) Bot_Acc(7, 8) Bot_Acc(8, 7) Bot_Acc(9, 6) Bot_Acc(10, 5) Bot_Acc(11, 4) Bot_Acc(12, 3) Bot_Acc(13, 2) Bot_Acc(14, 1) Bot_Acc(15, 0) \ - Bot_End(16) - -#endif - -#if 0 -#define Mul_Begin(n) \ - Declare2Words(p) \ - Declare2Words(c) \ - Declare2Words(d) \ - MultiplyWords(p, A[0], B[0]) \ - AssignWord(c, LowWord(p)) \ - AssignWord(d, HighWord(p)) - -#define Mul_Acc(i, j) \ - MultiplyWords(p, A[i], B[j]) \ - Acc2WordsBy1(c, LowWord(p)) \ - Acc2WordsBy1(d, HighWord(p)) - -#define Mul_SaveAcc(k, i, j) \ - R[k] = LowWord(c); \ - Add2WordsBy1(c, d, HighWord(c)) \ - MultiplyWords(p, A[i], B[j]) \ - AssignWord(d, HighWord(p)) \ - Acc2WordsBy1(c, LowWord(p)) - -#define Mul_End(n) \ - R[2*n-3] = LowWord(c); \ - Acc2WordsBy1(d, HighWord(c)) \ - MultiplyWords(p, A[n-1], B[n-1])\ - Acc2WordsBy2(d, p) \ - R[2*n-2] = LowWord(d); \ - R[2*n-1] = HighWord(d); - -#define Bot_SaveAcc(k, i, j) \ - R[k] = LowWord(c); \ - word e = LowWord(d) + HighWord(c); \ - e += A[i] * B[j]; - -#define Bot_Acc(i, j) \ - e += A[i] * B[j]; - -#define Bot_End(n) \ - R[n-1] = e; -#else -#define Mul_Begin(n) \ - Declare2Words(p) \ - word c; \ - Declare2Words(d) \ - MultiplyWords(p, A[0], B[0]) \ - c = LowWord(p); \ - AssignWord(d, HighWord(p)) - -#define Mul_Acc(i, j) \ - MulAcc(c, d, A[i], B[j]) - -#define Mul_SaveAcc(k, i, j) \ - R[k] = c; \ - c = LowWord(d); \ - AssignWord(d, HighWord(d)) \ - MulAcc(c, d, A[i], B[j]) - -#define Mul_End(k, i) \ - R[k] = c; \ - MultiplyWords(p, A[i], B[i]) \ - Acc2WordsBy2(p, d) \ - R[k+1] = LowWord(p); \ - R[k+2] = HighWord(p); - -#define Bot_SaveAcc(k, i, j) \ - R[k] = c; \ - c = LowWord(d); \ - c += A[i] * B[j]; - -#define Bot_Acc(i, j) \ - c += A[i] * B[j]; - -#define Bot_End(n) \ - R[n-1] = c; -#endif - -#define Squ_Begin(n) \ - Declare2Words(p) \ - word c; \ - Declare2Words(d) \ - Declare2Words(e) \ - MultiplyWords(p, A[0], A[0]) \ - R[0] = LowWord(p); \ - AssignWord(e, HighWord(p)) \ - MultiplyWords(p, A[0], A[1]) \ - c = LowWord(p); \ - AssignWord(d, HighWord(p)) \ - Squ_NonDiag \ - -#define Squ_NonDiag \ - Double3Words(c, d) - -#define Squ_SaveAcc(k, i, j) \ - Acc3WordsBy2(c, d, e) \ - R[k] = c; \ - MultiplyWords(p, A[i], A[j]) \ - c = LowWord(p); \ - AssignWord(d, HighWord(p)) \ - -#define Squ_Acc(i, j) \ - MulAcc(c, d, A[i], A[j]) - -#define Squ_Diag(i) \ - Squ_NonDiag \ - MulAcc(c, d, A[i], A[i]) - -#define Squ_End(n) \ - Acc3WordsBy2(c, d, e) \ - R[2*n-3] = c; \ - MultiplyWords(p, A[n-1], A[n-1])\ - Acc2WordsBy2(p, e) \ - R[2*n-2] = LowWord(p); \ - R[2*n-1] = HighWord(p); - -void Baseline_Multiply2(word *R, const word *A, const word *B) -{ - Mul_2 -} - -void Baseline_Multiply4(word *R, const word *A, const word *B) -{ - Mul_4 -} - -void Baseline_Multiply8(word *R, const word *A, const word *B) -{ - Mul_8 -} - -void Baseline_Square2(word *R, const word *A) -{ - Squ_2 -} - -void Baseline_Square4(word *R, const word *A) -{ - Squ_4 -} - -void Baseline_Square8(word *R, const word *A) -{ - Squ_8 -} - -void Baseline_MultiplyBottom2(word *R, const word *A, const word *B) -{ - Bot_2 -} - -void Baseline_MultiplyBottom4(word *R, const word *A, const word *B) -{ - Bot_4 -} - -void Baseline_MultiplyBottom8(word *R, const word *A, const word *B) -{ - Bot_8 -} - -#define Top_Begin(n) \ - Declare2Words(p) \ - word c; \ - Declare2Words(d) \ - MultiplyWords(p, A[0], B[n-2]);\ - AssignWord(d, HighWord(p)); - -#define Top_Acc(i, j) \ - MultiplyWords(p, A[i], B[j]);\ - Acc2WordsBy1(d, HighWord(p)); - -#define Top_SaveAcc0(i, j) \ - c = LowWord(d); \ - AssignWord(d, HighWord(d)) \ - MulAcc(c, d, A[i], B[j]) - -#define Top_SaveAcc1(i, j) \ - c = L<c; \ - Acc2WordsBy1(d, c); \ - c = LowWord(d); \ - AssignWord(d, HighWord(d)) \ - MulAcc(c, d, A[i], B[j]) - -void Baseline_MultiplyTop2(word *R, const word *A, const word *B, word L) -{ - word T[4]; - Baseline_Multiply2(T, A, B); - R[0] = T[2]; - R[1] = T[3]; -} - -void Baseline_MultiplyTop4(word *R, const word *A, const word *B, word L) -{ - Top_Begin(4) - Top_Acc(1, 1) Top_Acc(2, 0) \ - Top_SaveAcc0(0, 3) Mul_Acc(1, 2) Mul_Acc(2, 1) Mul_Acc(3, 0) \ - Top_SaveAcc1(1, 3) Mul_Acc(2, 2) Mul_Acc(3, 1) \ - Mul_SaveAcc(0, 2, 3) Mul_Acc(3, 2) \ - Mul_End(1, 3) -} - -void Baseline_MultiplyTop8(word *R, const word *A, const word *B, word L) -{ - Top_Begin(8) - Top_Acc(1, 5) Top_Acc(2, 4) Top_Acc(3, 3) Top_Acc(4, 2) Top_Acc(5, 1) Top_Acc(6, 0) \ - Top_SaveAcc0(0, 7) Mul_Acc(1, 6) Mul_Acc(2, 5) Mul_Acc(3, 4) Mul_Acc(4, 3) Mul_Acc(5, 2) Mul_Acc(6, 1) Mul_Acc(7, 0) \ - Top_SaveAcc1(1, 7) Mul_Acc(2, 6) Mul_Acc(3, 5) Mul_Acc(4, 4) Mul_Acc(5, 3) Mul_Acc(6, 2) Mul_Acc(7, 1) \ - Mul_SaveAcc(0, 2, 7) Mul_Acc(3, 6) Mul_Acc(4, 5) Mul_Acc(5, 4) Mul_Acc(6, 3) Mul_Acc(7, 2) \ - Mul_SaveAcc(1, 3, 7) Mul_Acc(4, 6) Mul_Acc(5, 5) Mul_Acc(6, 4) Mul_Acc(7, 3) \ - Mul_SaveAcc(2, 4, 7) Mul_Acc(5, 6) Mul_Acc(6, 5) Mul_Acc(7, 4) \ - Mul_SaveAcc(3, 5, 7) Mul_Acc(6, 6) Mul_Acc(7, 5) \ - Mul_SaveAcc(4, 6, 7) Mul_Acc(7, 6) \ - Mul_End(5, 7) -} - -#if !CRYPTOPP_INTEGER_SSE2 // save memory by not compiling these functions when SSE2 is available -void Baseline_Multiply16(word *R, const word *A, const word *B) -{ - Mul_16 -} - -void Baseline_Square16(word *R, const word *A) -{ - Squ_16 -} - -void Baseline_MultiplyBottom16(word *R, const word *A, const word *B) -{ - Bot_16 -} - -void Baseline_MultiplyTop16(word *R, const word *A, const word *B, word L) -{ - Top_Begin(16) - Top_Acc(1, 13) Top_Acc(2, 12) Top_Acc(3, 11) Top_Acc(4, 10) Top_Acc(5, 9) Top_Acc(6, 8) Top_Acc(7, 7) Top_Acc(8, 6) Top_Acc(9, 5) Top_Acc(10, 4) Top_Acc(11, 3) Top_Acc(12, 2) Top_Acc(13, 1) Top_Acc(14, 0) \ - Top_SaveAcc0(0, 15) Mul_Acc(1, 14) Mul_Acc(2, 13) Mul_Acc(3, 12) Mul_Acc(4, 11) Mul_Acc(5, 10) Mul_Acc(6, 9) Mul_Acc(7, 8) Mul_Acc(8, 7) Mul_Acc(9, 6) Mul_Acc(10, 5) Mul_Acc(11, 4) Mul_Acc(12, 3) Mul_Acc(13, 2) Mul_Acc(14, 1) Mul_Acc(15, 0) \ - Top_SaveAcc1(1, 15) Mul_Acc(2, 14) Mul_Acc(3, 13) Mul_Acc(4, 12) Mul_Acc(5, 11) Mul_Acc(6, 10) Mul_Acc(7, 9) Mul_Acc(8, 8) Mul_Acc(9, 7) Mul_Acc(10, 6) Mul_Acc(11, 5) Mul_Acc(12, 4) Mul_Acc(13, 3) Mul_Acc(14, 2) Mul_Acc(15, 1) \ - Mul_SaveAcc(0, 2, 15) Mul_Acc(3, 14) Mul_Acc(4, 13) Mul_Acc(5, 12) Mul_Acc(6, 11) Mul_Acc(7, 10) Mul_Acc(8, 9) Mul_Acc(9, 8) Mul_Acc(10, 7) Mul_Acc(11, 6) Mul_Acc(12, 5) Mul_Acc(13, 4) Mul_Acc(14, 3) Mul_Acc(15, 2) \ - Mul_SaveAcc(1, 3, 15) Mul_Acc(4, 14) Mul_Acc(5, 13) Mul_Acc(6, 12) Mul_Acc(7, 11) Mul_Acc(8, 10) Mul_Acc(9, 9) Mul_Acc(10, 8) Mul_Acc(11, 7) Mul_Acc(12, 6) Mul_Acc(13, 5) Mul_Acc(14, 4) Mul_Acc(15, 3) \ - Mul_SaveAcc(2, 4, 15) Mul_Acc(5, 14) Mul_Acc(6, 13) Mul_Acc(7, 12) Mul_Acc(8, 11) Mul_Acc(9, 10) Mul_Acc(10, 9) Mul_Acc(11, 8) Mul_Acc(12, 7) Mul_Acc(13, 6) Mul_Acc(14, 5) Mul_Acc(15, 4) \ - Mul_SaveAcc(3, 5, 15) Mul_Acc(6, 14) Mul_Acc(7, 13) Mul_Acc(8, 12) Mul_Acc(9, 11) Mul_Acc(10, 10) Mul_Acc(11, 9) Mul_Acc(12, 8) Mul_Acc(13, 7) Mul_Acc(14, 6) Mul_Acc(15, 5) \ - Mul_SaveAcc(4, 6, 15) Mul_Acc(7, 14) Mul_Acc(8, 13) Mul_Acc(9, 12) Mul_Acc(10, 11) Mul_Acc(11, 10) Mul_Acc(12, 9) Mul_Acc(13, 8) Mul_Acc(14, 7) Mul_Acc(15, 6) \ - Mul_SaveAcc(5, 7, 15) Mul_Acc(8, 14) Mul_Acc(9, 13) Mul_Acc(10, 12) Mul_Acc(11, 11) Mul_Acc(12, 10) Mul_Acc(13, 9) Mul_Acc(14, 8) Mul_Acc(15, 7) \ - Mul_SaveAcc(6, 8, 15) Mul_Acc(9, 14) Mul_Acc(10, 13) Mul_Acc(11, 12) Mul_Acc(12, 11) Mul_Acc(13, 10) Mul_Acc(14, 9) Mul_Acc(15, 8) \ - Mul_SaveAcc(7, 9, 15) Mul_Acc(10, 14) Mul_Acc(11, 13) Mul_Acc(12, 12) Mul_Acc(13, 11) Mul_Acc(14, 10) Mul_Acc(15, 9) \ - Mul_SaveAcc(8, 10, 15) Mul_Acc(11, 14) Mul_Acc(12, 13) Mul_Acc(13, 12) Mul_Acc(14, 11) Mul_Acc(15, 10) \ - Mul_SaveAcc(9, 11, 15) Mul_Acc(12, 14) Mul_Acc(13, 13) Mul_Acc(14, 12) Mul_Acc(15, 11) \ - Mul_SaveAcc(10, 12, 15) Mul_Acc(13, 14) Mul_Acc(14, 13) Mul_Acc(15, 12) \ - Mul_SaveAcc(11, 13, 15) Mul_Acc(14, 14) Mul_Acc(15, 13) \ - Mul_SaveAcc(12, 14, 15) Mul_Acc(15, 14) \ - Mul_End(13, 15) -} -#endif - -// ******************************************************** - -#if CRYPTOPP_INTEGER_SSE2 - -CRYPTOPP_ALIGN_DATA(16) static const word32 s_maskLow16[4] CRYPTOPP_SECTION_ALIGN16 = {0xffff,0xffff,0xffff,0xffff}; - -#undef Mul_Begin -#undef Mul_Acc -#undef Top_Begin -#undef Top_Acc -#undef Squ_Acc -#undef Squ_NonDiag -#undef Squ_Diag -#undef Squ_SaveAcc -#undef Squ_Begin -#undef Mul_SaveAcc -#undef Bot_Acc -#undef Bot_SaveAcc -#undef Bot_End -#undef Squ_End -#undef Mul_End - -#define SSE2_FinalSave(k) \ - AS2( psllq xmm5, 16) \ - AS2( paddq xmm4, xmm5) \ - AS2( movq QWORD PTR [ecx+8*(k)], xmm4) - -#define SSE2_SaveShift(k) \ - AS2( movq xmm0, xmm6) \ - AS2( punpckhqdq xmm6, xmm0) \ - AS2( movq xmm1, xmm7) \ - AS2( punpckhqdq xmm7, xmm1) \ - AS2( paddd xmm6, xmm0) \ - AS2( pslldq xmm6, 4) \ - AS2( paddd xmm7, xmm1) \ - AS2( paddd xmm4, xmm6) \ - AS2( pslldq xmm7, 4) \ - AS2( movq xmm6, xmm4) \ - AS2( paddd xmm5, xmm7) \ - AS2( movq xmm7, xmm5) \ - AS2( movd DWORD PTR [ecx+8*(k)], xmm4) \ - AS2( psrlq xmm6, 16) \ - AS2( paddq xmm6, xmm7) \ - AS2( punpckhqdq xmm4, xmm0) \ - AS2( punpckhqdq xmm5, xmm0) \ - AS2( movq QWORD PTR [ecx+8*(k)+2], xmm6) \ - AS2( psrlq xmm6, 3*16) \ - AS2( paddd xmm4, xmm6) \ - -#define Squ_SSE2_SaveShift(k) \ - AS2( movq xmm0, xmm6) \ - AS2( punpckhqdq xmm6, xmm0) \ - AS2( movq xmm1, xmm7) \ - AS2( punpckhqdq xmm7, xmm1) \ - AS2( paddd xmm6, xmm0) \ - AS2( pslldq xmm6, 4) \ - AS2( paddd xmm7, xmm1) \ - AS2( paddd xmm4, xmm6) \ - AS2( pslldq xmm7, 4) \ - AS2( movhlps xmm6, xmm4) \ - AS2( movd DWORD PTR [ecx+8*(k)], xmm4) \ - AS2( paddd xmm5, xmm7) \ - AS2( movhps QWORD PTR [esp+12], xmm5)\ - AS2( psrlq xmm4, 16) \ - AS2( paddq xmm4, xmm5) \ - AS2( movq QWORD PTR [ecx+8*(k)+2], xmm4) \ - AS2( psrlq xmm4, 3*16) \ - AS2( paddd xmm4, xmm6) \ - AS2( movq QWORD PTR [esp+4], xmm4)\ - -#define SSE2_FirstMultiply(i) \ - AS2( movdqa xmm7, [esi+(i)*16])\ - AS2( movdqa xmm5, [edi-(i)*16])\ - AS2( pmuludq xmm5, xmm7) \ - AS2( movdqa xmm4, [ebx])\ - AS2( movdqa xmm6, xmm4) \ - AS2( pand xmm4, xmm5) \ - AS2( psrld xmm5, 16) \ - AS2( pmuludq xmm7, [edx-(i)*16])\ - AS2( pand xmm6, xmm7) \ - AS2( psrld xmm7, 16) - -#define Squ_Begin(n) \ - SquPrologue \ - AS2( mov esi, esp)\ - AS2( and esp, 0xfffffff0)\ - AS2( lea edi, [esp-32*n])\ - AS2( sub esp, 32*n+16)\ - AS1( push esi)\ - AS2( mov esi, edi) \ - AS2( xor edx, edx) \ - ASL(1) \ - ASS( pshufd xmm0, [eax+edx], 3,1,2,0) \ - ASS( pshufd xmm1, [eax+edx], 2,0,3,1) \ - AS2( movdqa [edi+2*edx], xmm0) \ - AS2( psrlq xmm0, 32) \ - AS2( movdqa [edi+2*edx+16], xmm0) \ - AS2( movdqa [edi+16*n+2*edx], xmm1) \ - AS2( psrlq xmm1, 32) \ - AS2( movdqa [edi+16*n+2*edx+16], xmm1) \ - AS2( add edx, 16) \ - AS2( cmp edx, 8*(n)) \ - ASJ( jne, 1, b) \ - AS2( lea edx, [edi+16*n])\ - SSE2_FirstMultiply(0) \ - -#define Squ_Acc(i) \ - ASL(LSqu##i) \ - AS2( movdqa xmm1, [esi+(i)*16]) \ - AS2( movdqa xmm0, [edi-(i)*16]) \ - AS2( movdqa xmm2, [ebx]) \ - AS2( pmuludq xmm0, xmm1) \ - AS2( pmuludq xmm1, [edx-(i)*16]) \ - AS2( movdqa xmm3, xmm2) \ - AS2( pand xmm2, xmm0) \ - AS2( psrld xmm0, 16) \ - AS2( paddd xmm4, xmm2) \ - AS2( paddd xmm5, xmm0) \ - AS2( pand xmm3, xmm1) \ - AS2( psrld xmm1, 16) \ - AS2( paddd xmm6, xmm3) \ - AS2( paddd xmm7, xmm1) \ - -#define Squ_Acc1(i) -#define Squ_Acc2(i) ASC(call, LSqu##i) -#define Squ_Acc3(i) Squ_Acc2(i) -#define Squ_Acc4(i) Squ_Acc2(i) -#define Squ_Acc5(i) Squ_Acc2(i) -#define Squ_Acc6(i) Squ_Acc2(i) -#define Squ_Acc7(i) Squ_Acc2(i) -#define Squ_Acc8(i) Squ_Acc2(i) - -#define SSE2_End(E, n) \ - SSE2_SaveShift(2*(n)-3) \ - AS2( movdqa xmm7, [esi+16]) \ - AS2( movdqa xmm0, [edi]) \ - AS2( pmuludq xmm0, xmm7) \ - AS2( movdqa xmm2, [ebx]) \ - AS2( pmuludq xmm7, [edx]) \ - AS2( movdqa xmm6, xmm2) \ - AS2( pand xmm2, xmm0) \ - AS2( psrld xmm0, 16) \ - AS2( paddd xmm4, xmm2) \ - AS2( paddd xmm5, xmm0) \ - AS2( pand xmm6, xmm7) \ - AS2( psrld xmm7, 16) \ - SSE2_SaveShift(2*(n)-2) \ - SSE2_FinalSave(2*(n)-1) \ - AS1( pop esp)\ - E - -#define Squ_End(n) SSE2_End(SquEpilogue, n) -#define Mul_End(n) SSE2_End(MulEpilogue, n) -#define Top_End(n) SSE2_End(TopEpilogue, n) - -#define Squ_Column1(k, i) \ - Squ_SSE2_SaveShift(k) \ - AS2( add esi, 16) \ - SSE2_FirstMultiply(1)\ - Squ_Acc##i(i) \ - AS2( paddd xmm4, xmm4) \ - AS2( paddd xmm5, xmm5) \ - AS2( movdqa xmm3, [esi]) \ - AS2( movq xmm1, QWORD PTR [esi+8]) \ - AS2( pmuludq xmm1, xmm3) \ - AS2( pmuludq xmm3, xmm3) \ - AS2( movdqa xmm0, [ebx])\ - AS2( movdqa xmm2, xmm0) \ - AS2( pand xmm0, xmm1) \ - AS2( psrld xmm1, 16) \ - AS2( paddd xmm6, xmm0) \ - AS2( paddd xmm7, xmm1) \ - AS2( pand xmm2, xmm3) \ - AS2( psrld xmm3, 16) \ - AS2( paddd xmm6, xmm6) \ - AS2( paddd xmm7, xmm7) \ - AS2( paddd xmm4, xmm2) \ - AS2( paddd xmm5, xmm3) \ - AS2( movq xmm0, QWORD PTR [esp+4])\ - AS2( movq xmm1, QWORD PTR [esp+12])\ - AS2( paddd xmm4, xmm0)\ - AS2( paddd xmm5, xmm1)\ - -#define Squ_Column0(k, i) \ - Squ_SSE2_SaveShift(k) \ - AS2( add edi, 16) \ - AS2( add edx, 16) \ - SSE2_FirstMultiply(1)\ - Squ_Acc##i(i) \ - AS2( paddd xmm6, xmm6) \ - AS2( paddd xmm7, xmm7) \ - AS2( paddd xmm4, xmm4) \ - AS2( paddd xmm5, xmm5) \ - AS2( movq xmm0, QWORD PTR [esp+4])\ - AS2( movq xmm1, QWORD PTR [esp+12])\ - AS2( paddd xmm4, xmm0)\ - AS2( paddd xmm5, xmm1)\ - -#define SSE2_MulAdd45 \ - AS2( movdqa xmm7, [esi]) \ - AS2( movdqa xmm0, [edi]) \ - AS2( pmuludq xmm0, xmm7) \ - AS2( movdqa xmm2, [ebx]) \ - AS2( pmuludq xmm7, [edx]) \ - AS2( movdqa xmm6, xmm2) \ - AS2( pand xmm2, xmm0) \ - AS2( psrld xmm0, 16) \ - AS2( paddd xmm4, xmm2) \ - AS2( paddd xmm5, xmm0) \ - AS2( pand xmm6, xmm7) \ - AS2( psrld xmm7, 16) - -#define Mul_Begin(n) \ - MulPrologue \ - AS2( mov esi, esp)\ - AS2( and esp, 0xfffffff0)\ - AS2( sub esp, 48*n+16)\ - AS1( push esi)\ - AS2( xor edx, edx) \ - ASL(1) \ - ASS( pshufd xmm0, [eax+edx], 3,1,2,0) \ - ASS( pshufd xmm1, [eax+edx], 2,0,3,1) \ - ASS( pshufd xmm2, [edi+edx], 3,1,2,0) \ - AS2( movdqa [esp+20+2*edx], xmm0) \ - AS2( psrlq xmm0, 32) \ - AS2( movdqa [esp+20+2*edx+16], xmm0) \ - AS2( movdqa [esp+20+16*n+2*edx], xmm1) \ - AS2( psrlq xmm1, 32) \ - AS2( movdqa [esp+20+16*n+2*edx+16], xmm1) \ - AS2( movdqa [esp+20+32*n+2*edx], xmm2) \ - AS2( psrlq xmm2, 32) \ - AS2( movdqa [esp+20+32*n+2*edx+16], xmm2) \ - AS2( add edx, 16) \ - AS2( cmp edx, 8*(n)) \ - ASJ( jne, 1, b) \ - AS2( lea edi, [esp+20])\ - AS2( lea edx, [esp+20+16*n])\ - AS2( lea esi, [esp+20+32*n])\ - SSE2_FirstMultiply(0) \ - -#define Mul_Acc(i) \ - ASL(LMul##i) \ - AS2( movdqa xmm1, [esi+i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( movdqa xmm0, [edi-i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( movdqa xmm2, [ebx]) \ - AS2( pmuludq xmm0, xmm1) \ - AS2( pmuludq xmm1, [edx-i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( movdqa xmm3, xmm2) \ - AS2( pand xmm2, xmm0) \ - AS2( psrld xmm0, 16) \ - AS2( paddd xmm4, xmm2) \ - AS2( paddd xmm5, xmm0) \ - AS2( pand xmm3, xmm1) \ - AS2( psrld xmm1, 16) \ - AS2( paddd xmm6, xmm3) \ - AS2( paddd xmm7, xmm1) \ - -#define Mul_Acc1(i) -#define Mul_Acc2(i) ASC(call, LMul##i) -#define Mul_Acc3(i) Mul_Acc2(i) -#define Mul_Acc4(i) Mul_Acc2(i) -#define Mul_Acc5(i) Mul_Acc2(i) -#define Mul_Acc6(i) Mul_Acc2(i) -#define Mul_Acc7(i) Mul_Acc2(i) -#define Mul_Acc8(i) Mul_Acc2(i) -#define Mul_Acc9(i) Mul_Acc2(i) -#define Mul_Acc10(i) Mul_Acc2(i) -#define Mul_Acc11(i) Mul_Acc2(i) -#define Mul_Acc12(i) Mul_Acc2(i) -#define Mul_Acc13(i) Mul_Acc2(i) -#define Mul_Acc14(i) Mul_Acc2(i) -#define Mul_Acc15(i) Mul_Acc2(i) -#define Mul_Acc16(i) Mul_Acc2(i) - -#define Mul_Column1(k, i) \ - SSE2_SaveShift(k) \ - AS2( add esi, 16) \ - SSE2_MulAdd45\ - Mul_Acc##i(i) \ - -#define Mul_Column0(k, i) \ - SSE2_SaveShift(k) \ - AS2( add edi, 16) \ - AS2( add edx, 16) \ - SSE2_MulAdd45\ - Mul_Acc##i(i) \ - -#define Bot_Acc(i) \ - AS2( movdqa xmm1, [esi+i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( movdqa xmm0, [edi-i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( pmuludq xmm0, xmm1) \ - AS2( pmuludq xmm1, [edx-i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( paddq xmm4, xmm0) \ - AS2( paddd xmm6, xmm1) - -#define Bot_SaveAcc(k) \ - SSE2_SaveShift(k) \ - AS2( add edi, 16) \ - AS2( add edx, 16) \ - AS2( movdqa xmm6, [esi]) \ - AS2( movdqa xmm0, [edi]) \ - AS2( pmuludq xmm0, xmm6) \ - AS2( paddq xmm4, xmm0) \ - AS2( psllq xmm5, 16) \ - AS2( paddq xmm4, xmm5) \ - AS2( pmuludq xmm6, [edx]) - -#define Bot_End(n) \ - AS2( movhlps xmm7, xmm6) \ - AS2( paddd xmm6, xmm7) \ - AS2( psllq xmm6, 32) \ - AS2( paddd xmm4, xmm6) \ - AS2( movq QWORD PTR [ecx+8*((n)-1)], xmm4) \ - AS1( pop esp)\ - MulEpilogue - -#define Top_Begin(n) \ - TopPrologue \ - AS2( mov edx, esp)\ - AS2( and esp, 0xfffffff0)\ - AS2( sub esp, 48*n+16)\ - AS1( push edx)\ - AS2( xor edx, edx) \ - ASL(1) \ - ASS( pshufd xmm0, [eax+edx], 3,1,2,0) \ - ASS( pshufd xmm1, [eax+edx], 2,0,3,1) \ - ASS( pshufd xmm2, [edi+edx], 3,1,2,0) \ - AS2( movdqa [esp+20+2*edx], xmm0) \ - AS2( psrlq xmm0, 32) \ - AS2( movdqa [esp+20+2*edx+16], xmm0) \ - AS2( movdqa [esp+20+16*n+2*edx], xmm1) \ - AS2( psrlq xmm1, 32) \ - AS2( movdqa [esp+20+16*n+2*edx+16], xmm1) \ - AS2( movdqa [esp+20+32*n+2*edx], xmm2) \ - AS2( psrlq xmm2, 32) \ - AS2( movdqa [esp+20+32*n+2*edx+16], xmm2) \ - AS2( add edx, 16) \ - AS2( cmp edx, 8*(n)) \ - ASJ( jne, 1, b) \ - AS2( mov eax, esi) \ - AS2( lea edi, [esp+20+00*n+16*(n/2-1)])\ - AS2( lea edx, [esp+20+16*n+16*(n/2-1)])\ - AS2( lea esi, [esp+20+32*n+16*(n/2-1)])\ - AS2( pxor xmm4, xmm4)\ - AS2( pxor xmm5, xmm5) - -#define Top_Acc(i) \ - AS2( movq xmm0, QWORD PTR [esi+i/2*(1-(i-2*(i/2))*2)*16+8]) \ - AS2( pmuludq xmm0, [edx-i/2*(1-(i-2*(i/2))*2)*16]) \ - AS2( psrlq xmm0, 48) \ - AS2( paddd xmm5, xmm0)\ - -#define Top_Column0(i) \ - AS2( psllq xmm5, 32) \ - AS2( add edi, 16) \ - AS2( add edx, 16) \ - SSE2_MulAdd45\ - Mul_Acc##i(i) \ - -#define Top_Column1(i) \ - SSE2_SaveShift(0) \ - AS2( add esi, 16) \ - SSE2_MulAdd45\ - Mul_Acc##i(i) \ - AS2( shr eax, 16) \ - AS2( movd xmm0, eax)\ - AS2( movd xmm1, [ecx+4])\ - AS2( psrld xmm1, 16)\ - AS2( pcmpgtd xmm1, xmm0)\ - AS2( psrld xmm1, 31)\ - AS2( paddd xmm4, xmm1)\ - -void SSE2_Square4(word *C, const word *A) -{ - Squ_Begin(2) - Squ_Column0(0, 1) - Squ_End(2) -} - -void SSE2_Square8(word *C, const word *A) -{ - Squ_Begin(4) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Squ_Acc(2) - AS1( ret) ASL(0) -#endif - Squ_Column0(0, 1) - Squ_Column1(1, 1) - Squ_Column0(2, 2) - Squ_Column1(3, 1) - Squ_Column0(4, 1) - Squ_End(4) -} - -void SSE2_Square16(word *C, const word *A) -{ - Squ_Begin(8) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Squ_Acc(4) Squ_Acc(3) Squ_Acc(2) - AS1( ret) ASL(0) -#endif - Squ_Column0(0, 1) - Squ_Column1(1, 1) - Squ_Column0(2, 2) - Squ_Column1(3, 2) - Squ_Column0(4, 3) - Squ_Column1(5, 3) - Squ_Column0(6, 4) - Squ_Column1(7, 3) - Squ_Column0(8, 3) - Squ_Column1(9, 2) - Squ_Column0(10, 2) - Squ_Column1(11, 1) - Squ_Column0(12, 1) - Squ_End(8) -} - -void SSE2_Square32(word *C, const word *A) -{ - Squ_Begin(16) - ASJ( jmp, 0, f) - Squ_Acc(8) Squ_Acc(7) Squ_Acc(6) Squ_Acc(5) Squ_Acc(4) Squ_Acc(3) Squ_Acc(2) - AS1( ret) ASL(0) - Squ_Column0(0, 1) - Squ_Column1(1, 1) - Squ_Column0(2, 2) - Squ_Column1(3, 2) - Squ_Column0(4, 3) - Squ_Column1(5, 3) - Squ_Column0(6, 4) - Squ_Column1(7, 4) - Squ_Column0(8, 5) - Squ_Column1(9, 5) - Squ_Column0(10, 6) - Squ_Column1(11, 6) - Squ_Column0(12, 7) - Squ_Column1(13, 7) - Squ_Column0(14, 8) - Squ_Column1(15, 7) - Squ_Column0(16, 7) - Squ_Column1(17, 6) - Squ_Column0(18, 6) - Squ_Column1(19, 5) - Squ_Column0(20, 5) - Squ_Column1(21, 4) - Squ_Column0(22, 4) - Squ_Column1(23, 3) - Squ_Column0(24, 3) - Squ_Column1(25, 2) - Squ_Column0(26, 2) - Squ_Column1(27, 1) - Squ_Column0(28, 1) - Squ_End(16) -} - -void SSE2_Multiply4(word *C, const word *A, const word *B) -{ - Mul_Begin(2) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_End(2) -} - -void SSE2_Multiply8(word *C, const word *A, const word *B) -{ - Mul_Begin(4) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Mul_Column0(2, 4) - Mul_Column1(3, 3) - Mul_Column0(4, 2) - Mul_End(4) -} - -void SSE2_Multiply16(word *C, const word *A, const word *B) -{ - Mul_Begin(8) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(8) Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Mul_Column0(2, 4) - Mul_Column1(3, 5) - Mul_Column0(4, 6) - Mul_Column1(5, 7) - Mul_Column0(6, 8) - Mul_Column1(7, 7) - Mul_Column0(8, 6) - Mul_Column1(9, 5) - Mul_Column0(10, 4) - Mul_Column1(11, 3) - Mul_Column0(12, 2) - Mul_End(8) -} - -void SSE2_Multiply32(word *C, const word *A, const word *B) -{ - Mul_Begin(16) - ASJ( jmp, 0, f) - Mul_Acc(16) Mul_Acc(15) Mul_Acc(14) Mul_Acc(13) Mul_Acc(12) Mul_Acc(11) Mul_Acc(10) Mul_Acc(9) Mul_Acc(8) Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Mul_Column0(2, 4) - Mul_Column1(3, 5) - Mul_Column0(4, 6) - Mul_Column1(5, 7) - Mul_Column0(6, 8) - Mul_Column1(7, 9) - Mul_Column0(8, 10) - Mul_Column1(9, 11) - Mul_Column0(10, 12) - Mul_Column1(11, 13) - Mul_Column0(12, 14) - Mul_Column1(13, 15) - Mul_Column0(14, 16) - Mul_Column1(15, 15) - Mul_Column0(16, 14) - Mul_Column1(17, 13) - Mul_Column0(18, 12) - Mul_Column1(19, 11) - Mul_Column0(20, 10) - Mul_Column1(21, 9) - Mul_Column0(22, 8) - Mul_Column1(23, 7) - Mul_Column0(24, 6) - Mul_Column1(25, 5) - Mul_Column0(26, 4) - Mul_Column1(27, 3) - Mul_Column0(28, 2) - Mul_End(16) -} - -void SSE2_MultiplyBottom4(word *C, const word *A, const word *B) -{ - Mul_Begin(2) - Bot_SaveAcc(0) Bot_Acc(2) - Bot_End(2) -} - -void SSE2_MultiplyBottom8(word *C, const word *A, const word *B) -{ - Mul_Begin(4) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Bot_SaveAcc(2) Bot_Acc(4) Bot_Acc(3) Bot_Acc(2) - Bot_End(4) -} - -void SSE2_MultiplyBottom16(word *C, const word *A, const word *B) -{ - Mul_Begin(8) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Mul_Column0(2, 4) - Mul_Column1(3, 5) - Mul_Column0(4, 6) - Mul_Column1(5, 7) - Bot_SaveAcc(6) Bot_Acc(8) Bot_Acc(7) Bot_Acc(6) Bot_Acc(5) Bot_Acc(4) Bot_Acc(3) Bot_Acc(2) - Bot_End(8) -} - -void SSE2_MultiplyBottom32(word *C, const word *A, const word *B) -{ - Mul_Begin(16) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(15) Mul_Acc(14) Mul_Acc(13) Mul_Acc(12) Mul_Acc(11) Mul_Acc(10) Mul_Acc(9) Mul_Acc(8) Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Mul_Column0(0, 2) - Mul_Column1(1, 3) - Mul_Column0(2, 4) - Mul_Column1(3, 5) - Mul_Column0(4, 6) - Mul_Column1(5, 7) - Mul_Column0(6, 8) - Mul_Column1(7, 9) - Mul_Column0(8, 10) - Mul_Column1(9, 11) - Mul_Column0(10, 12) - Mul_Column1(11, 13) - Mul_Column0(12, 14) - Mul_Column1(13, 15) - Bot_SaveAcc(14) Bot_Acc(16) Bot_Acc(15) Bot_Acc(14) Bot_Acc(13) Bot_Acc(12) Bot_Acc(11) Bot_Acc(10) Bot_Acc(9) Bot_Acc(8) Bot_Acc(7) Bot_Acc(6) Bot_Acc(5) Bot_Acc(4) Bot_Acc(3) Bot_Acc(2) - Bot_End(16) -} - -void SSE2_MultiplyTop8(word *C, const word *A, const word *B, word L) -{ - Top_Begin(4) - Top_Acc(3) Top_Acc(2) Top_Acc(1) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Top_Column0(4) - Top_Column1(3) - Mul_Column0(0, 2) - Top_End(2) -} - -void SSE2_MultiplyTop16(word *C, const word *A, const word *B, word L) -{ - Top_Begin(8) - Top_Acc(7) Top_Acc(6) Top_Acc(5) Top_Acc(4) Top_Acc(3) Top_Acc(2) Top_Acc(1) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(8) Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Top_Column0(8) - Top_Column1(7) - Mul_Column0(0, 6) - Mul_Column1(1, 5) - Mul_Column0(2, 4) - Mul_Column1(3, 3) - Mul_Column0(4, 2) - Top_End(4) -} - -void SSE2_MultiplyTop32(word *C, const word *A, const word *B, word L) -{ - Top_Begin(16) - Top_Acc(15) Top_Acc(14) Top_Acc(13) Top_Acc(12) Top_Acc(11) Top_Acc(10) Top_Acc(9) Top_Acc(8) Top_Acc(7) Top_Acc(6) Top_Acc(5) Top_Acc(4) Top_Acc(3) Top_Acc(2) Top_Acc(1) -#ifndef __GNUC__ - ASJ( jmp, 0, f) - Mul_Acc(16) Mul_Acc(15) Mul_Acc(14) Mul_Acc(13) Mul_Acc(12) Mul_Acc(11) Mul_Acc(10) Mul_Acc(9) Mul_Acc(8) Mul_Acc(7) Mul_Acc(6) Mul_Acc(5) Mul_Acc(4) Mul_Acc(3) Mul_Acc(2) - AS1( ret) ASL(0) -#endif - Top_Column0(16) - Top_Column1(15) - Mul_Column0(0, 14) - Mul_Column1(1, 13) - Mul_Column0(2, 12) - Mul_Column1(3, 11) - Mul_Column0(4, 10) - Mul_Column1(5, 9) - Mul_Column0(6, 8) - Mul_Column1(7, 7) - Mul_Column0(8, 6) - Mul_Column1(9, 5) - Mul_Column0(10, 4) - Mul_Column1(11, 3) - Mul_Column0(12, 2) - Top_End(8) -} - -#endif // #if CRYPTOPP_INTEGER_SSE2 - -// ******************************************************** - -typedef int (CRYPTOPP_FASTCALL * PAdd)(size_t N, word *C, const word *A, const word *B); -typedef void (* PMul)(word *C, const word *A, const word *B); -typedef void (* PSqu)(word *C, const word *A); -typedef void (* PMulTop)(word *C, const word *A, const word *B, word L); - -#if CRYPTOPP_INTEGER_SSE2 -static PAdd s_pAdd = &Baseline_Add, s_pSub = &Baseline_Sub; -static size_t s_recursionLimit = 8; -#else -static const size_t s_recursionLimit = 16; -#endif - -static PMul s_pMul[9], s_pBot[9]; -static PSqu s_pSqu[9]; -static PMulTop s_pTop[9]; - -static void SetFunctionPointers() -{ - s_pMul[0] = &Baseline_Multiply2; - s_pBot[0] = &Baseline_MultiplyBottom2; - s_pSqu[0] = &Baseline_Square2; - s_pTop[0] = &Baseline_MultiplyTop2; - s_pTop[1] = &Baseline_MultiplyTop4; - -#if CRYPTOPP_INTEGER_SSE2 - if (HasSSE2()) - { -#if _MSC_VER != 1200 || defined(NDEBUG) - if (IsP4()) - { - s_pAdd = &SSE2_Add; - s_pSub = &SSE2_Sub; - } -#endif - - s_recursionLimit = 32; - - s_pMul[1] = &SSE2_Multiply4; - s_pMul[2] = &SSE2_Multiply8; - s_pMul[4] = &SSE2_Multiply16; - s_pMul[8] = &SSE2_Multiply32; - - s_pBot[1] = &SSE2_MultiplyBottom4; - s_pBot[2] = &SSE2_MultiplyBottom8; - s_pBot[4] = &SSE2_MultiplyBottom16; - s_pBot[8] = &SSE2_MultiplyBottom32; - - s_pSqu[1] = &SSE2_Square4; - s_pSqu[2] = &SSE2_Square8; - s_pSqu[4] = &SSE2_Square16; - s_pSqu[8] = &SSE2_Square32; - - s_pTop[2] = &SSE2_MultiplyTop8; - s_pTop[4] = &SSE2_MultiplyTop16; - s_pTop[8] = &SSE2_MultiplyTop32; - } - else -#endif - { - s_pMul[1] = &Baseline_Multiply4; - s_pMul[2] = &Baseline_Multiply8; - - s_pBot[1] = &Baseline_MultiplyBottom4; - s_pBot[2] = &Baseline_MultiplyBottom8; - - s_pSqu[1] = &Baseline_Square4; - s_pSqu[2] = &Baseline_Square8; - - s_pTop[2] = &Baseline_MultiplyTop8; - -#if !CRYPTOPP_INTEGER_SSE2 - s_pMul[4] = &Baseline_Multiply16; - s_pBot[4] = &Baseline_MultiplyBottom16; - s_pSqu[4] = &Baseline_Square16; - s_pTop[4] = &Baseline_MultiplyTop16; -#endif - } -} - -inline int Add(word *C, const word *A, const word *B, size_t N) -{ -#if CRYPTOPP_INTEGER_SSE2 - return s_pAdd(N, C, A, B); -#else - return Baseline_Add(N, C, A, B); -#endif -} - -inline int Subtract(word *C, const word *A, const word *B, size_t N) -{ -#if CRYPTOPP_INTEGER_SSE2 - return s_pSub(N, C, A, B); -#else - return Baseline_Sub(N, C, A, B); -#endif -} - -// ******************************************************** - - -#define A0 A -#define A1 (A+N2) -#define B0 B -#define B1 (B+N2) - -#define T0 T -#define T1 (T+N2) -#define T2 (T+N) -#define T3 (T+N+N2) - -#define R0 R -#define R1 (R+N2) -#define R2 (R+N) -#define R3 (R+N+N2) - -// R[2*N] - result = A*B -// T[2*N] - temporary work space -// A[N] --- multiplier -// B[N] --- multiplicant - -void RecursiveMultiply(word *R, word *T, const word *A, const word *B, size_t N) -{ - assert(N>=2 && N%2==0); - - if (N <= s_recursionLimit) - s_pMul[N/4](R, A, B); - else - { - const size_t N2 = N/2; - - size_t AN2 = Compare(A0, A1, N2) > 0 ? 0 : N2; - Subtract(R0, A + AN2, A + (N2 ^ AN2), N2); - - size_t BN2 = Compare(B0, B1, N2) > 0 ? 0 : N2; - Subtract(R1, B + BN2, B + (N2 ^ BN2), N2); - - RecursiveMultiply(R2, T2, A1, B1, N2); - RecursiveMultiply(T0, T2, R0, R1, N2); - RecursiveMultiply(R0, T2, A0, B0, N2); - - // now T[01] holds (A1-A0)*(B0-B1), R[01] holds A0*B0, R[23] holds A1*B1 - - int c2 = Add(R2, R2, R1, N2); - int c3 = c2; - c2 += Add(R1, R2, R0, N2); - c3 += Add(R2, R2, R3, N2); - - if (AN2 == BN2) - c3 -= Subtract(R1, R1, T0, N); - else - c3 += Add(R1, R1, T0, N); - - c3 += Increment(R2, N2, c2); - assert (c3 >= 0 && c3 <= 2); - Increment(R3, N2, c3); - } -} - -// R[2*N] - result = A*A -// T[2*N] - temporary work space -// A[N] --- number to be squared - -void RecursiveSquare(word *R, word *T, const word *A, size_t N) -{ - assert(N && N%2==0); - - if (N <= s_recursionLimit) - s_pSqu[N/4](R, A); - else - { - const size_t N2 = N/2; - - RecursiveSquare(R0, T2, A0, N2); - RecursiveSquare(R2, T2, A1, N2); - RecursiveMultiply(T0, T2, A0, A1, N2); - - int carry = Add(R1, R1, T0, N); - carry += Add(R1, R1, T0, N); - Increment(R3, N2, carry); - } -} - -// R[N] - bottom half of A*B -// T[3*N/2] - temporary work space -// A[N] - multiplier -// B[N] - multiplicant - -void RecursiveMultiplyBottom(word *R, word *T, const word *A, const word *B, size_t N) -{ - assert(N>=2 && N%2==0); - - if (N <= s_recursionLimit) - s_pBot[N/4](R, A, B); - else - { - const size_t N2 = N/2; - - RecursiveMultiply(R, T, A0, B0, N2); - RecursiveMultiplyBottom(T0, T1, A1, B0, N2); - Add(R1, R1, T0, N2); - RecursiveMultiplyBottom(T0, T1, A0, B1, N2); - Add(R1, R1, T0, N2); - } -} - -// R[N] --- upper half of A*B -// T[2*N] - temporary work space -// L[N] --- lower half of A*B -// A[N] --- multiplier -// B[N] --- multiplicant - -void MultiplyTop(word *R, word *T, const word *L, const word *A, const word *B, size_t N) -{ - assert(N>=2 && N%2==0); - - if (N <= s_recursionLimit) - s_pTop[N/4](R, A, B, L[N-1]); - else - { - const size_t N2 = N/2; - - size_t AN2 = Compare(A0, A1, N2) > 0 ? 0 : N2; - Subtract(R0, A + AN2, A + (N2 ^ AN2), N2); - - size_t BN2 = Compare(B0, B1, N2) > 0 ? 0 : N2; - Subtract(R1, B + BN2, B + (N2 ^ BN2), N2); - - RecursiveMultiply(T0, T2, R0, R1, N2); - RecursiveMultiply(R0, T2, A1, B1, N2); - - // now T[01] holds (A1-A0)*(B0-B1) = A1*B0+A0*B1-A1*B1-A0*B0, R[01] holds A1*B1 - - int t, c3; - int c2 = Subtract(T2, L+N2, L, N2); - - if (AN2 == BN2) - { - c2 -= Add(T2, T2, T0, N2); - t = (Compare(T2, R0, N2) == -1); - c3 = t - Subtract(T2, T2, T1, N2); - } - else - { - c2 += Subtract(T2, T2, T0, N2); - t = (Compare(T2, R0, N2) == -1); - c3 = t + Add(T2, T2, T1, N2); - } - - c2 += t; - if (c2 >= 0) - c3 += Increment(T2, N2, c2); - else - c3 -= Decrement(T2, N2, -c2); - c3 += Add(R0, T2, R1, N2); - - assert (c3 >= 0 && c3 <= 2); - Increment(R1, N2, c3); - } -} - -inline void Multiply(word *R, word *T, const word *A, const word *B, size_t N) -{ - RecursiveMultiply(R, T, A, B, N); -} - -inline void Square(word *R, word *T, const word *A, size_t N) -{ - RecursiveSquare(R, T, A, N); -} - -inline void MultiplyBottom(word *R, word *T, const word *A, const word *B, size_t N) -{ - RecursiveMultiplyBottom(R, T, A, B, N); -} - -// R[NA+NB] - result = A*B -// T[NA+NB] - temporary work space -// A[NA] ---- multiplier -// B[NB] ---- multiplicant - -void AsymmetricMultiply(word *R, word *T, const word *A, size_t NA, const word *B, size_t NB) -{ - if (NA == NB) - { - if (A == B) - Square(R, T, A, NA); - else - Multiply(R, T, A, B, NA); - - return; - } - - if (NA > NB) - { - std::swap(A, B); - std::swap(NA, NB); - } - - assert(NB % NA == 0); - - if (NA==2 && !A[1]) - { - switch (A[0]) - { - case 0: - SetWords(R, 0, NB+2); - return; - case 1: - CopyWords(R, B, NB); - R[NB] = R[NB+1] = 0; - return; - default: - R[NB] = LinearMultiply(R, B, A[0], NB); - R[NB+1] = 0; - return; - } - } - - size_t i; - if ((NB/NA)%2 == 0) - { - Multiply(R, T, A, B, NA); - CopyWords(T+2*NA, R+NA, NA); - - for (i=2*NA; i<NB; i+=2*NA) - Multiply(T+NA+i, T, A, B+i, NA); - for (i=NA; i<NB; i+=2*NA) - Multiply(R+i, T, A, B+i, NA); - } - else - { - for (i=0; i<NB; i+=2*NA) - Multiply(R+i, T, A, B+i, NA); - for (i=NA; i<NB; i+=2*NA) - Multiply(T+NA+i, T, A, B+i, NA); - } - - if (Add(R+NA, R+NA, T+2*NA, NB-NA)) - Increment(R+NB, NA); -} - -// R[N] ----- result = A inverse mod 2**(WORD_BITS*N) -// T[3*N/2] - temporary work space -// A[N] ----- an odd number as input - -void RecursiveInverseModPower2(word *R, word *T, const word *A, size_t N) -{ - if (N==2) - { - T[0] = AtomicInverseModPower2(A[0]); - T[1] = 0; - s_pBot[0](T+2, T, A); - TwosComplement(T+2, 2); - Increment(T+2, 2, 2); - s_pBot[0](R, T, T+2); - } - else - { - const size_t N2 = N/2; - RecursiveInverseModPower2(R0, T0, A0, N2); - T0[0] = 1; - SetWords(T0+1, 0, N2-1); - MultiplyTop(R1, T1, T0, R0, A0, N2); - MultiplyBottom(T0, T1, R0, A1, N2); - Add(T0, R1, T0, N2); - TwosComplement(T0, N2); - MultiplyBottom(R1, T1, R0, T0, N2); - } -} - -// R[N] --- result = X/(2**(WORD_BITS*N)) mod M -// T[3*N] - temporary work space -// X[2*N] - number to be reduced -// M[N] --- modulus -// U[N] --- multiplicative inverse of M mod 2**(WORD_BITS*N) - -void MontgomeryReduce(word *R, word *T, word *X, const word *M, const word *U, size_t N) -{ -#if 1 - MultiplyBottom(R, T, X, U, N); - MultiplyTop(T, T+N, X, R, M, N); - word borrow = Subtract(T, X+N, T, N); - // defend against timing attack by doing this Add even when not needed - word carry = Add(T+N, T, M, N); - assert(carry | !borrow); - CopyWords(R, T + ((0-borrow) & N), N); -#elif 0 - const word u = 0-U[0]; - Declare2Words(p) - for (size_t i=0; i<N; i++) - { - const word t = u * X[i]; - word c = 0; - for (size_t j=0; j<N; j+=2) - { - MultiplyWords(p, t, M[j]); - Acc2WordsBy1(p, X[i+j]); - Acc2WordsBy1(p, c); - X[i+j] = LowWord(p); - c = HighWord(p); - MultiplyWords(p, t, M[j+1]); - Acc2WordsBy1(p, X[i+j+1]); - Acc2WordsBy1(p, c); - X[i+j+1] = LowWord(p); - c = HighWord(p); - } - - if (Increment(X+N+i, N-i, c)) - while (!Subtract(X+N, X+N, M, N)) {} - } - - memcpy(R, X+N, N*WORD_SIZE); -#else - __m64 u = _mm_cvtsi32_si64(0-U[0]), p; - for (size_t i=0; i<N; i++) - { - __m64 t = _mm_cvtsi32_si64(X[i]); - t = _mm_mul_su32(t, u); - __m64 c = _mm_setzero_si64(); - for (size_t j=0; j<N; j+=2) - { - p = _mm_mul_su32(t, _mm_cvtsi32_si64(M[j])); - p = _mm_add_si64(p, _mm_cvtsi32_si64(X[i+j])); - c = _mm_add_si64(c, p); - X[i+j] = _mm_cvtsi64_si32(c); - c = _mm_srli_si64(c, 32); - p = _mm_mul_su32(t, _mm_cvtsi32_si64(M[j+1])); - p = _mm_add_si64(p, _mm_cvtsi32_si64(X[i+j+1])); - c = _mm_add_si64(c, p); - X[i+j+1] = _mm_cvtsi64_si32(c); - c = _mm_srli_si64(c, 32); - } - - if (Increment(X+N+i, N-i, _mm_cvtsi64_si32(c))) - while (!Subtract(X+N, X+N, M, N)) {} - } - - memcpy(R, X+N, N*WORD_SIZE); - _mm_empty(); -#endif -} - -// R[N] --- result = X/(2**(WORD_BITS*N/2)) mod M -// T[2*N] - temporary work space -// X[2*N] - number to be reduced -// M[N] --- modulus -// U[N/2] - multiplicative inverse of M mod 2**(WORD_BITS*N/2) -// V[N] --- 2**(WORD_BITS*3*N/2) mod M - -void HalfMontgomeryReduce(word *R, word *T, const word *X, const word *M, const word *U, const word *V, size_t N) -{ - assert(N%2==0 && N>=4); - -#define M0 M -#define M1 (M+N2) -#define V0 V -#define V1 (V+N2) - -#define X0 X -#define X1 (X+N2) -#define X2 (X+N) -#define X3 (X+N+N2) - - const size_t N2 = N/2; - Multiply(T0, T2, V0, X3, N2); - int c2 = Add(T0, T0, X0, N); - MultiplyBottom(T3, T2, T0, U, N2); - MultiplyTop(T2, R, T0, T3, M0, N2); - c2 -= Subtract(T2, T1, T2, N2); - Multiply(T0, R, T3, M1, N2); - c2 -= Subtract(T0, T2, T0, N2); - int c3 = -(int)Subtract(T1, X2, T1, N2); - Multiply(R0, T2, V1, X3, N2); - c3 += Add(R, R, T, N); - - if (c2>0) - c3 += Increment(R1, N2); - else if (c2<0) - c3 -= Decrement(R1, N2, -c2); - - assert(c3>=-1 && c3<=1); - if (c3>0) - Subtract(R, R, M, N); - else if (c3<0) - Add(R, R, M, N); - -#undef M0 -#undef M1 -#undef V0 -#undef V1 - -#undef X0 -#undef X1 -#undef X2 -#undef X3 -} - -#undef A0 -#undef A1 -#undef B0 -#undef B1 - -#undef T0 -#undef T1 -#undef T2 -#undef T3 - -#undef R0 -#undef R1 -#undef R2 -#undef R3 - -/* -// do a 3 word by 2 word divide, returns quotient and leaves remainder in A -static word SubatomicDivide(word *A, word B0, word B1) -{ - // assert {A[2],A[1]} < {B1,B0}, so quotient can fit in a word - assert(A[2] < B1 || (A[2]==B1 && A[1] < B0)); - - // estimate the quotient: do a 2 word by 1 word divide - word Q; - if (B1+1 == 0) - Q = A[2]; - else - Q = DWord(A[1], A[2]).DividedBy(B1+1); - - // now subtract Q*B from A - DWord p = DWord::Multiply(B0, Q); - DWord u = (DWord) A[0] - p.GetLowHalf(); - A[0] = u.GetLowHalf(); - u = (DWord) A[1] - p.GetHighHalf() - u.GetHighHalfAsBorrow() - DWord::Multiply(B1, Q); - A[1] = u.GetLowHalf(); - A[2] += u.GetHighHalf(); - - // Q <= actual quotient, so fix it - while (A[2] || A[1] > B1 || (A[1]==B1 && A[0]>=B0)) - { - u = (DWord) A[0] - B0; - A[0] = u.GetLowHalf(); - u = (DWord) A[1] - B1 - u.GetHighHalfAsBorrow(); - A[1] = u.GetLowHalf(); - A[2] += u.GetHighHalf(); - Q++; - assert(Q); // shouldn't overflow - } - - return Q; -} - -// do a 4 word by 2 word divide, returns 2 word quotient in Q0 and Q1 -static inline void AtomicDivide(word *Q, const word *A, const word *B) -{ - if (!B[0] && !B[1]) // if divisor is 0, we assume divisor==2**(2*WORD_BITS) - { - Q[0] = A[2]; - Q[1] = A[3]; - } - else - { - word T[4]; - T[0] = A[0]; T[1] = A[1]; T[2] = A[2]; T[3] = A[3]; - Q[1] = SubatomicDivide(T+1, B[0], B[1]); - Q[0] = SubatomicDivide(T, B[0], B[1]); - -#ifndef NDEBUG - // multiply quotient and divisor and add remainder, make sure it equals dividend - assert(!T[2] && !T[3] && (T[1] < B[1] || (T[1]==B[1] && T[0]<B[0]))); - word P[4]; - LowLevel::Multiply2(P, Q, B); - Add(P, P, T, 4); - assert(memcmp(P, A, 4*WORD_SIZE)==0); -#endif - } -} -*/ - -static inline void AtomicDivide(word *Q, const word *A, const word *B) -{ - word T[4]; - DWord q = DivideFourWordsByTwo<word, DWord>(T, DWord(A[0], A[1]), DWord(A[2], A[3]), DWord(B[0], B[1])); - Q[0] = q.GetLowHalf(); - Q[1] = q.GetHighHalf(); - -#ifndef NDEBUG - if (B[0] || B[1]) - { - // multiply quotient and divisor and add remainder, make sure it equals dividend - assert(!T[2] && !T[3] && (T[1] < B[1] || (T[1]==B[1] && T[0]<B[0]))); - word P[4]; - s_pMul[0](P, Q, B); - Add(P, P, T, 4); - assert(memcmp(P, A, 4*WORD_SIZE)==0); - } -#endif -} - -// for use by Divide(), corrects the underestimated quotient {Q1,Q0} -static void CorrectQuotientEstimate(word *R, word *T, word *Q, const word *B, size_t N) -{ - assert(N && N%2==0); - - AsymmetricMultiply(T, T+N+2, Q, 2, B, N); - - word borrow = Subtract(R, R, T, N+2); - assert(!borrow && !R[N+1]); - - while (R[N] || Compare(R, B, N) >= 0) - { - R[N] -= Subtract(R, R, B, N); - Q[1] += (++Q[0]==0); - assert(Q[0] || Q[1]); // no overflow - } -} - -// R[NB] -------- remainder = A%B -// Q[NA-NB+2] --- quotient = A/B -// T[NA+3*(NB+2)] - temp work space -// A[NA] -------- dividend -// B[NB] -------- divisor - -void Divide(word *R, word *Q, word *T, const word *A, size_t NA, const word *B, size_t NB) -{ - assert(NA && NB && NA%2==0 && NB%2==0); - assert(B[NB-1] || B[NB-2]); - assert(NB <= NA); - - // set up temporary work space - word *const TA=T; - word *const TB=T+NA+2; - word *const TP=T+NA+2+NB; - - // copy B into TB and normalize it so that TB has highest bit set to 1 - unsigned shiftWords = (B[NB-1]==0); - TB[0] = TB[NB-1] = 0; - CopyWords(TB+shiftWords, B, NB-shiftWords); - unsigned shiftBits = WORD_BITS - BitPrecision(TB[NB-1]); - assert(shiftBits < WORD_BITS); - ShiftWordsLeftByBits(TB, NB, shiftBits); - - // copy A into TA and normalize it - TA[0] = TA[NA] = TA[NA+1] = 0; - CopyWords(TA+shiftWords, A, NA); - ShiftWordsLeftByBits(TA, NA+2, shiftBits); - - if (TA[NA+1]==0 && TA[NA] <= 1) - { - Q[NA-NB+1] = Q[NA-NB] = 0; - while (TA[NA] || Compare(TA+NA-NB, TB, NB) >= 0) - { - TA[NA] -= Subtract(TA+NA-NB, TA+NA-NB, TB, NB); - ++Q[NA-NB]; - } - } - else - { - NA+=2; - assert(Compare(TA+NA-NB, TB, NB) < 0); - } - - word BT[2]; - BT[0] = TB[NB-2] + 1; - BT[1] = TB[NB-1] + (BT[0]==0); - - // start reducing TA mod TB, 2 words at a time - for (size_t i=NA-2; i>=NB; i-=2) - { - AtomicDivide(Q+i-NB, TA+i-2, BT); - CorrectQuotientEstimate(TA+i-NB, TP, Q+i-NB, TB, NB); - } - - // copy TA into R, and denormalize it - CopyWords(R, TA+shiftWords, NB); - ShiftWordsRightByBits(R, NB, shiftBits); -} - -static inline size_t EvenWordCount(const word *X, size_t N) -{ - while (N && X[N-2]==0 && X[N-1]==0) - N-=2; - return N; -} - -// return k -// R[N] --- result = A^(-1) * 2^k mod M -// T[4*N] - temporary work space -// A[NA] -- number to take inverse of -// M[N] --- modulus - -unsigned int AlmostInverse(word *R, word *T, const word *A, size_t NA, const word *M, size_t N) -{ - assert(NA<=N && N && N%2==0); - - word *b = T; - word *c = T+N; - word *f = T+2*N; - word *g = T+3*N; - size_t bcLen=2, fgLen=EvenWordCount(M, N); - unsigned int k=0; - bool s=false; - - SetWords(T, 0, 3*N); - b[0]=1; - CopyWords(f, A, NA); - CopyWords(g, M, N); - - while (1) - { - word t=f[0]; - while (!t) - { - if (EvenWordCount(f, fgLen)==0) - { - SetWords(R, 0, N); - return 0; - } - - ShiftWordsRightByWords(f, fgLen, 1); - bcLen += 2 * (c[bcLen-1] != 0); - assert(bcLen <= N); - ShiftWordsLeftByWords(c, bcLen, 1); - k+=WORD_BITS; - t=f[0]; - } - - unsigned int i = TrailingZeros(t); - t >>= i; - k += i; - - if (t==1 && f[1]==0 && EvenWordCount(f+2, fgLen-2)==0) - { - if (s) - Subtract(R, M, b, N); - else - CopyWords(R, b, N); - return k; - } - - ShiftWordsRightByBits(f, fgLen, i); - t = ShiftWordsLeftByBits(c, bcLen, i); - c[bcLen] += t; - bcLen += 2 * (t!=0); - assert(bcLen <= N); - - bool swap = Compare(f, g, fgLen)==-1; - ConditionalSwapPointers(swap, f, g); - ConditionalSwapPointers(swap, b, c); - s ^= swap; - - fgLen -= 2 * !(f[fgLen-2] | f[fgLen-1]); - - Subtract(f, f, g, fgLen); - t = Add(b, b, c, bcLen); - b[bcLen] += t; - bcLen += 2*t; - assert(bcLen <= N); - } -} - -// R[N] - result = A/(2^k) mod M -// A[N] - input -// M[N] - modulus - -void DivideByPower2Mod(word *R, const word *A, size_t k, const word *M, size_t N) -{ - CopyWords(R, A, N); - - while (k--) - { - if (R[0]%2==0) - ShiftWordsRightByBits(R, N, 1); - else - { - word carry = Add(R, R, M, N); - ShiftWordsRightByBits(R, N, 1); - R[N-1] += carry<<(WORD_BITS-1); - } - } -} - -// R[N] - result = A*(2^k) mod M -// A[N] - input -// M[N] - modulus - -void MultiplyByPower2Mod(word *R, const word *A, size_t k, const word *M, size_t N) -{ - CopyWords(R, A, N); - - while (k--) - if (ShiftWordsLeftByBits(R, N, 1) || Compare(R, M, N)>=0) - Subtract(R, R, M, N); -} - -// ****************************************************************** - -InitializeInteger::InitializeInteger() -{ - if (!g_pAssignIntToInteger) - { - SetFunctionPointers(); - g_pAssignIntToInteger = AssignIntToInteger; - } -} - -static const unsigned int RoundupSizeTable[] = {2, 2, 2, 4, 4, 8, 8, 8, 8}; - -static inline size_t RoundupSize(size_t n) -{ - if (n<=8) - return RoundupSizeTable[n]; - else if (n<=16) - return 16; - else if (n<=32) - return 32; - else if (n<=64) - return 64; - else return size_t(1) << BitPrecision(n-1); -} - -Integer::Integer() - : reg(2), sign(POSITIVE) -{ - reg[0] = reg[1] = 0; -} - -Integer::Integer(const Integer& t) - : reg(RoundupSize(t.WordCount())), sign(t.sign) -{ - CopyWords(reg, t.reg, reg.size()); -} - -Integer::Integer(Sign s, lword value) - : reg(2), sign(s) -{ - reg[0] = word(value); - reg[1] = word(SafeRightShift<WORD_BITS>(value)); -} - -Integer::Integer(signed long value) - : reg(2) -{ - if (value >= 0) - sign = POSITIVE; - else - { - sign = NEGATIVE; - value = -value; - } - reg[0] = word(value); - reg[1] = word(SafeRightShift<WORD_BITS>((unsigned long)value)); -} - -Integer::Integer(Sign s, word high, word low) - : reg(2), sign(s) -{ - reg[0] = low; - reg[1] = high; -} - -bool Integer::IsConvertableToLong() const -{ - if (ByteCount() > sizeof(long)) - return false; - - unsigned long value = (unsigned long)reg[0]; - value += SafeLeftShift<WORD_BITS, unsigned long>((unsigned long)reg[1]); - - if (sign==POSITIVE) - return (signed long)value >= 0; - else - return -(signed long)value < 0; -} - -signed long Integer::ConvertToLong() const -{ - assert(IsConvertableToLong()); - - unsigned long value = (unsigned long)reg[0]; - value += SafeLeftShift<WORD_BITS, unsigned long>((unsigned long)reg[1]); - return sign==POSITIVE ? value : -(signed long)value; -} - -Integer::Integer(BufferedTransformation &encodedInteger, size_t byteCount, Signedness s) -{ - Decode(encodedInteger, byteCount, s); -} - -Integer::Integer(const byte *encodedInteger, size_t byteCount, Signedness s) -{ - Decode(encodedInteger, byteCount, s); -} - -Integer::Integer(BufferedTransformation &bt) -{ - BERDecode(bt); -} - -Integer::Integer(RandomNumberGenerator &rng, size_t bitcount) -{ - Randomize(rng, bitcount); -} - -Integer::Integer(RandomNumberGenerator &rng, const Integer &min, const Integer &max, RandomNumberType rnType, const Integer &equiv, const Integer &mod) -{ - if (!Randomize(rng, min, max, rnType, equiv, mod)) - throw Integer::RandomNumberNotFound(); -} - -Integer Integer::Power2(size_t e) -{ - Integer r((word)0, BitsToWords(e+1)); - r.SetBit(e); - return r; -} - -template <long i> -struct NewInteger -{ - Integer * operator()() const - { - return new Integer(i); - } -}; - -const Integer &Integer::Zero() -{ - return Singleton<Integer>().Ref(); -} - -const Integer &Integer::One() -{ - return Singleton<Integer, NewInteger<1> >().Ref(); -} - -const Integer &Integer::Two() -{ - return Singleton<Integer, NewInteger<2> >().Ref(); -} - -bool Integer::operator!() const -{ - return IsNegative() ? false : (reg[0]==0 && WordCount()==0); -} - -Integer& Integer::operator=(const Integer& t) -{ - if (this != &t) - { - if (reg.size() != t.reg.size() || t.reg[t.reg.size()/2] == 0) - reg.New(RoundupSize(t.WordCount())); - CopyWords(reg, t.reg, reg.size()); - sign = t.sign; - } - return *this; -} - -bool Integer::GetBit(size_t n) const -{ - if (n/WORD_BITS >= reg.size()) - return 0; - else - return bool((reg[n/WORD_BITS] >> (n % WORD_BITS)) & 1); -} - -void Integer::SetBit(size_t n, bool value) -{ - if (value) - { - reg.CleanGrow(RoundupSize(BitsToWords(n+1))); - reg[n/WORD_BITS] |= (word(1) << (n%WORD_BITS)); - } - else - { - if (n/WORD_BITS < reg.size()) - reg[n/WORD_BITS] &= ~(word(1) << (n%WORD_BITS)); - } -} - -byte Integer::GetByte(size_t n) const -{ - if (n/WORD_SIZE >= reg.size()) - return 0; - else - return byte(reg[n/WORD_SIZE] >> ((n%WORD_SIZE)*8)); -} - -void Integer::SetByte(size_t n, byte value) -{ - reg.CleanGrow(RoundupSize(BytesToWords(n+1))); - reg[n/WORD_SIZE] &= ~(word(0xff) << 8*(n%WORD_SIZE)); - reg[n/WORD_SIZE] |= (word(value) << 8*(n%WORD_SIZE)); -} - -lword Integer::GetBits(size_t i, size_t n) const -{ - lword v = 0; - assert(n <= sizeof(v)*8); - for (unsigned int j=0; j<n; j++) - v |= lword(GetBit(i+j)) << j; - return v; -} - -Integer Integer::operator-() const -{ - Integer result(*this); - result.Negate(); - return result; -} - -Integer Integer::AbsoluteValue() const -{ - Integer result(*this); - result.sign = POSITIVE; - return result; -} - -void Integer::swap(Integer &a) -{ - reg.swap(a.reg); - std::swap(sign, a.sign); -} - -Integer::Integer(word value, size_t length) - : reg(RoundupSize(length)), sign(POSITIVE) -{ - reg[0] = value; - SetWords(reg+1, 0, reg.size()-1); -} - -template <class T> -static Integer StringToInteger(const T *str) -{ - int radix; - // GCC workaround - // std::char_traits<wchar_t>::length() not defined in GCC 3.2 and STLport 4.5.3 - unsigned int length; - for (length = 0; str[length] != 0; length++) {} - - Integer v; - - if (length == 0) - return v; - - switch (str[length-1]) - { - case 'h': - case 'H': - radix=16; - break; - case 'o': - case 'O': - radix=8; - break; - case 'b': - case 'B': - radix=2; - break; - default: - radix=10; - } - - if (length > 2 && str[0] == '0' && str[1] == 'x') - radix = 16; - - for (unsigned i=0; i<length; i++) - { - int digit; - - if (str[i] >= '0' && str[i] <= '9') - digit = str[i] - '0'; - else if (str[i] >= 'A' && str[i] <= 'F') - digit = str[i] - 'A' + 10; - else if (str[i] >= 'a' && str[i] <= 'f') - digit = str[i] - 'a' + 10; - else - digit = radix; - - if (digit < radix) - { - v *= radix; - v += digit; - } - } - - if (str[0] == '-') - v.Negate(); - - return v; -} - -Integer::Integer(const char *str) - : reg(2), sign(POSITIVE) -{ - *this = StringToInteger(str); -} - -Integer::Integer(const wchar_t *str) - : reg(2), sign(POSITIVE) -{ - *this = StringToInteger(str); -} - -unsigned int Integer::WordCount() const -{ - return (unsigned int)CountWords(reg, reg.size()); -} - -unsigned int Integer::ByteCount() const -{ - unsigned wordCount = WordCount(); - if (wordCount) - return (wordCount-1)*WORD_SIZE + BytePrecision(reg[wordCount-1]); - else - return 0; -} - -unsigned int Integer::BitCount() const -{ - unsigned wordCount = WordCount(); - if (wordCount) - return (wordCount-1)*WORD_BITS + BitPrecision(reg[wordCount-1]); - else - return 0; -} - -void Integer::Decode(const byte *input, size_t inputLen, Signedness s) -{ - StringStore store(input, inputLen); - Decode(store, inputLen, s); -} - -void Integer::Decode(BufferedTransformation &bt, size_t inputLen, Signedness s) -{ - assert(bt.MaxRetrievable() >= inputLen); - - byte b; - bt.Peek(b); - sign = ((s==SIGNED) && (b & 0x80)) ? NEGATIVE : POSITIVE; - - while (inputLen>0 && (sign==POSITIVE ? b==0 : b==0xff)) - { - bt.Skip(1); - inputLen--; - bt.Peek(b); - } - - reg.CleanNew(RoundupSize(BytesToWords(inputLen))); - - for (size_t i=inputLen; i > 0; i--) - { - bt.Get(b); - reg[(i-1)/WORD_SIZE] |= word(b) << ((i-1)%WORD_SIZE)*8; - } - - if (sign == NEGATIVE) - { - for (size_t i=inputLen; i<reg.size()*WORD_SIZE; i++) - reg[i/WORD_SIZE] |= word(0xff) << (i%WORD_SIZE)*8; - TwosComplement(reg, reg.size()); - } -} - -size_t Integer::MinEncodedSize(Signedness signedness) const -{ - unsigned int outputLen = STDMAX(1U, ByteCount()); - if (signedness == UNSIGNED) - return outputLen; - if (NotNegative() && (GetByte(outputLen-1) & 0x80)) - outputLen++; - if (IsNegative() && *this < -Power2(outputLen*8-1)) - outputLen++; - return outputLen; -} - -void Integer::Encode(byte *output, size_t outputLen, Signedness signedness) const -{ - ArraySink sink(output, outputLen); - Encode(sink, outputLen, signedness); -} - -void Integer::Encode(BufferedTransformation &bt, size_t outputLen, Signedness signedness) const -{ - if (signedness == UNSIGNED || NotNegative()) - { - for (size_t i=outputLen; i > 0; i--) - bt.Put(GetByte(i-1)); - } - else - { - // take two's complement of *this - Integer temp = Integer::Power2(8*STDMAX((size_t)ByteCount(), outputLen)) + *this; - temp.Encode(bt, outputLen, UNSIGNED); - } -} - -void Integer::DEREncode(BufferedTransformation &bt) const -{ - DERGeneralEncoder enc(bt, INTEGER); - Encode(enc, MinEncodedSize(SIGNED), SIGNED); - enc.MessageEnd(); -} - -void Integer::BERDecode(const byte *input, size_t len) -{ - StringStore store(input, len); - BERDecode(store); -} - -void Integer::BERDecode(BufferedTransformation &bt) -{ - BERGeneralDecoder dec(bt, INTEGER); - if (!dec.IsDefiniteLength() || dec.MaxRetrievable() < dec.RemainingLength()) - BERDecodeError(); - Decode(dec, (size_t)dec.RemainingLength(), SIGNED); - dec.MessageEnd(); -} - -void Integer::DEREncodeAsOctetString(BufferedTransformation &bt, size_t length) const -{ - DERGeneralEncoder enc(bt, OCTET_STRING); - Encode(enc, length); - enc.MessageEnd(); -} - -void Integer::BERDecodeAsOctetString(BufferedTransformation &bt, size_t length) -{ - BERGeneralDecoder dec(bt, OCTET_STRING); - if (!dec.IsDefiniteLength() || dec.RemainingLength() != length) - BERDecodeError(); - Decode(dec, length); - dec.MessageEnd(); -} - -size_t Integer::OpenPGPEncode(byte *output, size_t len) const -{ - ArraySink sink(output, len); - return OpenPGPEncode(sink); -} - -size_t Integer::OpenPGPEncode(BufferedTransformation &bt) const -{ - word16 bitCount = BitCount(); - bt.PutWord16(bitCount); - size_t byteCount = BitsToBytes(bitCount); - Encode(bt, byteCount); - return 2 + byteCount; -} - -void Integer::OpenPGPDecode(const byte *input, size_t len) -{ - StringStore store(input, len); - OpenPGPDecode(store); -} - -void Integer::OpenPGPDecode(BufferedTransformation &bt) -{ - word16 bitCount; - if (bt.GetWord16(bitCount) != 2 || bt.MaxRetrievable() < BitsToBytes(bitCount)) - throw OpenPGPDecodeErr(); - Decode(bt, BitsToBytes(bitCount)); -} - -void Integer::Randomize(RandomNumberGenerator &rng, size_t nbits) -{ - const size_t nbytes = nbits/8 + 1; - SecByteBlock buf(nbytes); - rng.GenerateBlock(buf, nbytes); - if (nbytes) - buf[0] = (byte)Crop(buf[0], nbits % 8); - Decode(buf, nbytes, UNSIGNED); -} - -void Integer::Randomize(RandomNumberGenerator &rng, const Integer &min, const Integer &max) -{ - if (min > max) - throw InvalidArgument("Integer: Min must be no greater than Max"); - - Integer range = max - min; - const unsigned int nbits = range.BitCount(); - - do - { - Randomize(rng, nbits); - } - while (*this > range); - - *this += min; -} - -bool Integer::Randomize(RandomNumberGenerator &rng, const Integer &min, const Integer &max, RandomNumberType rnType, const Integer &equiv, const Integer &mod) -{ - return GenerateRandomNoThrow(rng, MakeParameters("Min", min)("Max", max)("RandomNumberType", rnType)("EquivalentTo", equiv)("Mod", mod)); -} - -class KDF2_RNG : public RandomNumberGenerator -{ -public: - KDF2_RNG(const byte *seed, size_t seedSize) - : m_counter(0), m_counterAndSeed(seedSize + 4) - { - memcpy(m_counterAndSeed + 4, seed, seedSize); - } - - void GenerateBlock(byte *output, size_t size) - { - PutWord(false, BIG_ENDIAN_ORDER, m_counterAndSeed, m_counter); - ++m_counter; - P1363_KDF2<SHA1>::DeriveKey(output, size, m_counterAndSeed, m_counterAndSeed.size(), NULL, 0); - } - -private: - word32 m_counter; - SecByteBlock m_counterAndSeed; -}; - -bool Integer::GenerateRandomNoThrow(RandomNumberGenerator &i_rng, const NameValuePairs ¶ms) -{ - Integer min = params.GetValueWithDefault("Min", Integer::Zero()); - Integer max; - if (!params.GetValue("Max", max)) - { - int bitLength; - if (params.GetIntValue("BitLength", bitLength)) - max = Integer::Power2(bitLength); - else - throw InvalidArgument("Integer: missing Max argument"); - } - if (min > max) - throw InvalidArgument("Integer: Min must be no greater than Max"); - - Integer equiv = params.GetValueWithDefault("EquivalentTo", Integer::Zero()); - Integer mod = params.GetValueWithDefault("Mod", Integer::One()); - - if (equiv.IsNegative() || equiv >= mod) - throw InvalidArgument("Integer: invalid EquivalentTo and/or Mod argument"); - - Integer::RandomNumberType rnType = params.GetValueWithDefault("RandomNumberType", Integer::ANY); - - member_ptr<KDF2_RNG> kdf2Rng; - ConstByteArrayParameter seed; - if (params.GetValue(Name::Seed(), seed)) - { - ByteQueue bq; - DERSequenceEncoder seq(bq); - min.DEREncode(seq); - max.DEREncode(seq); - equiv.DEREncode(seq); - mod.DEREncode(seq); - DEREncodeUnsigned(seq, rnType); - DEREncodeOctetString(seq, seed.begin(), seed.size()); - seq.MessageEnd(); - - SecByteBlock finalSeed((size_t)bq.MaxRetrievable()); - bq.Get(finalSeed, finalSeed.size()); - kdf2Rng.reset(new KDF2_RNG(finalSeed.begin(), finalSeed.size())); - } - RandomNumberGenerator &rng = kdf2Rng.get() ? (RandomNumberGenerator &)*kdf2Rng : i_rng; - - switch (rnType) - { - case ANY: - if (mod == One()) - Randomize(rng, min, max); - else - { - Integer min1 = min + (equiv-min)%mod; - if (max < min1) - return false; - Randomize(rng, Zero(), (max - min1) / mod); - *this *= mod; - *this += min1; - } - return true; - - case PRIME: - { - const PrimeSelector *pSelector = params.GetValueWithDefault(Name::PointerToPrimeSelector(), (const PrimeSelector *)NULL); - - int i; - i = 0; - while (1) - { - if (++i==16) - { - // check if there are any suitable primes in [min, max] - Integer first = min; - if (FirstPrime(first, max, equiv, mod, pSelector)) - { - // if there is only one suitable prime, we're done - *this = first; - if (!FirstPrime(first, max, equiv, mod, pSelector)) - return true; - } - else - return false; - } - - Randomize(rng, min, max); - if (FirstPrime(*this, STDMIN(*this+mod*PrimeSearchInterval(max), max), equiv, mod, pSelector)) - return true; - } - } - - default: - throw InvalidArgument("Integer: invalid RandomNumberType argument"); - } -} - -std::istream& operator>>(std::istream& in, Integer &a) -{ - char c; - unsigned int length = 0; - SecBlock<char> str(length + 16); - - std::ws(in); - - do - { - in.read(&c, 1); - str[length++] = c; - if (length >= str.size()) - str.Grow(length + 16); - } - while (in && (c=='-' || c=='x' || (c>='0' && c<='9') || (c>='a' && c<='f') || (c>='A' && c<='F') || c=='h' || c=='H' || c=='o' || c=='O' || c==',' || c=='.')); - - if (in.gcount()) - in.putback(c); - str[length-1] = '\0'; - a = Integer(str); - - return in; -} - -std::ostream& operator<<(std::ostream& out, const Integer &a) -{ - // Get relevant conversion specifications from ostream. - long f = out.flags() & std::ios::basefield; // Get base digits. - int base, block; - char suffix; - switch(f) - { - case std::ios::oct : - base = 8; - block = 8; - suffix = 'o'; - break; - case std::ios::hex : - base = 16; - block = 4; - suffix = 'h'; - break; - default : - base = 10; - block = 3; - suffix = '.'; - } - - Integer temp1=a, temp2; - - if (a.IsNegative()) - { - out << '-'; - temp1.Negate(); - } - - if (!a) - out << '0'; - - static const char upper[]="0123456789ABCDEF"; - static const char lower[]="0123456789abcdef"; - - const char* vec = (out.flags() & std::ios::uppercase) ? upper : lower; - unsigned i=0; - SecBlock<char> s(a.BitCount() / (BitPrecision(base)-1) + 1); - - while (!!temp1) - { - word digit; - Integer::Divide(digit, temp2, temp1, base); - s[i++]=vec[digit]; - temp1.swap(temp2); - } - - while (i--) - { - out << s[i]; -// if (i && !(i%block)) -// out << ","; - } - return out << suffix; -} - -Integer& Integer::operator++() -{ - if (NotNegative()) - { - if (Increment(reg, reg.size())) - { - reg.CleanGrow(2*reg.size()); - reg[reg.size()/2]=1; - } - } - else - { - word borrow = Decrement(reg, reg.size()); - assert(!borrow); - if (WordCount()==0) - *this = Zero(); - } - return *this; -} - -Integer& Integer::operator--() -{ - if (IsNegative()) - { - if (Increment(reg, reg.size())) - { - reg.CleanGrow(2*reg.size()); - reg[reg.size()/2]=1; - } - } - else - { - if (Decrement(reg, reg.size())) - *this = -One(); - } - return *this; -} - -void PositiveAdd(Integer &sum, const Integer &a, const Integer& b) -{ - int carry; - if (a.reg.size() == b.reg.size()) - carry = Add(sum.reg, a.reg, b.reg, a.reg.size()); - else if (a.reg.size() > b.reg.size()) - { - carry = Add(sum.reg, a.reg, b.reg, b.reg.size()); - CopyWords(sum.reg+b.reg.size(), a.reg+b.reg.size(), a.reg.size()-b.reg.size()); - carry = Increment(sum.reg+b.reg.size(), a.reg.size()-b.reg.size(), carry); - } - else - { - carry = Add(sum.reg, a.reg, b.reg, a.reg.size()); - CopyWords(sum.reg+a.reg.size(), b.reg+a.reg.size(), b.reg.size()-a.reg.size()); - carry = Increment(sum.reg+a.reg.size(), b.reg.size()-a.reg.size(), carry); - } - - if (carry) - { - sum.reg.CleanGrow(2*sum.reg.size()); - sum.reg[sum.reg.size()/2] = 1; - } - sum.sign = Integer::POSITIVE; -} - -void PositiveSubtract(Integer &diff, const Integer &a, const Integer& b) -{ - unsigned aSize = a.WordCount(); - aSize += aSize%2; - unsigned bSize = b.WordCount(); - bSize += bSize%2; - - if (aSize == bSize) - { - if (Compare(a.reg, b.reg, aSize) >= 0) - { - Subtract(diff.reg, a.reg, b.reg, aSize); - diff.sign = Integer::POSITIVE; - } - else - { - Subtract(diff.reg, b.reg, a.reg, aSize); - diff.sign = Integer::NEGATIVE; - } - } - else if (aSize > bSize) - { - word borrow = Subtract(diff.reg, a.reg, b.reg, bSize); - CopyWords(diff.reg+bSize, a.reg+bSize, aSize-bSize); - borrow = Decrement(diff.reg+bSize, aSize-bSize, borrow); - assert(!borrow); - diff.sign = Integer::POSITIVE; - } - else - { - word borrow = Subtract(diff.reg, b.reg, a.reg, aSize); - CopyWords(diff.reg+aSize, b.reg+aSize, bSize-aSize); - borrow = Decrement(diff.reg+aSize, bSize-aSize, borrow); - assert(!borrow); - diff.sign = Integer::NEGATIVE; - } -} - -// MSVC .NET 2003 workaround -template <class T> inline const T& STDMAX2(const T& a, const T& b) -{ - return a < b ? b : a; -} - -Integer Integer::Plus(const Integer& b) const -{ - Integer sum((word)0, STDMAX2(reg.size(), b.reg.size())); - if (NotNegative()) - { - if (b.NotNegative()) - PositiveAdd(sum, *this, b); - else - PositiveSubtract(sum, *this, b); - } - else - { - if (b.NotNegative()) - PositiveSubtract(sum, b, *this); - else - { - PositiveAdd(sum, *this, b); - sum.sign = Integer::NEGATIVE; - } - } - return sum; -} - -Integer& Integer::operator+=(const Integer& t) -{ - reg.CleanGrow(t.reg.size()); - if (NotNegative()) - { - if (t.NotNegative()) - PositiveAdd(*this, *this, t); - else - PositiveSubtract(*this, *this, t); - } - else - { - if (t.NotNegative()) - PositiveSubtract(*this, t, *this); - else - { - PositiveAdd(*this, *this, t); - sign = Integer::NEGATIVE; - } - } - return *this; -} - -Integer Integer::Minus(const Integer& b) const -{ - Integer diff((word)0, STDMAX2(reg.size(), b.reg.size())); - if (NotNegative()) - { - if (b.NotNegative()) - PositiveSubtract(diff, *this, b); - else - PositiveAdd(diff, *this, b); - } - else - { - if (b.NotNegative()) - { - PositiveAdd(diff, *this, b); - diff.sign = Integer::NEGATIVE; - } - else - PositiveSubtract(diff, b, *this); - } - return diff; -} - -Integer& Integer::operator-=(const Integer& t) -{ - reg.CleanGrow(t.reg.size()); - if (NotNegative()) - { - if (t.NotNegative()) - PositiveSubtract(*this, *this, t); - else - PositiveAdd(*this, *this, t); - } - else - { - if (t.NotNegative()) - { - PositiveAdd(*this, *this, t); - sign = Integer::NEGATIVE; - } - else - PositiveSubtract(*this, t, *this); - } - return *this; -} - -Integer& Integer::operator<<=(size_t n) -{ - const size_t wordCount = WordCount(); - const size_t shiftWords = n / WORD_BITS; - const unsigned int shiftBits = (unsigned int)(n % WORD_BITS); - - reg.CleanGrow(RoundupSize(wordCount+BitsToWords(n))); - ShiftWordsLeftByWords(reg, wordCount + shiftWords, shiftWords); - ShiftWordsLeftByBits(reg+shiftWords, wordCount+BitsToWords(shiftBits), shiftBits); - return *this; -} - -Integer& Integer::operator>>=(size_t n) -{ - const size_t wordCount = WordCount(); - const size_t shiftWords = n / WORD_BITS; - const unsigned int shiftBits = (unsigned int)(n % WORD_BITS); - - ShiftWordsRightByWords(reg, wordCount, shiftWords); - if (wordCount > shiftWords) - ShiftWordsRightByBits(reg, wordCount-shiftWords, shiftBits); - if (IsNegative() && WordCount()==0) // avoid -0 - *this = Zero(); - return *this; -} - -void PositiveMultiply(Integer &product, const Integer &a, const Integer &b) -{ - size_t aSize = RoundupSize(a.WordCount()); - size_t bSize = RoundupSize(b.WordCount()); - - product.reg.CleanNew(RoundupSize(aSize+bSize)); - product.sign = Integer::POSITIVE; - - IntegerSecBlock workspace(aSize + bSize); - AsymmetricMultiply(product.reg, workspace, a.reg, aSize, b.reg, bSize); -} - -void Multiply(Integer &product, const Integer &a, const Integer &b) -{ - PositiveMultiply(product, a, b); - - if (a.NotNegative() != b.NotNegative()) - product.Negate(); -} - -Integer Integer::Times(const Integer &b) const -{ - Integer product; - Multiply(product, *this, b); - return product; -} - -/* -void PositiveDivide(Integer &remainder, Integer "ient, - const Integer ÷nd, const Integer &divisor) -{ - remainder.reg.CleanNew(divisor.reg.size()); - remainder.sign = Integer::POSITIVE; - quotient.reg.New(0); - quotient.sign = Integer::POSITIVE; - unsigned i=dividend.BitCount(); - while (i--) - { - word overflow = ShiftWordsLeftByBits(remainder.reg, remainder.reg.size(), 1); - remainder.reg[0] |= dividend[i]; - if (overflow || remainder >= divisor) - { - Subtract(remainder.reg, remainder.reg, divisor.reg, remainder.reg.size()); - quotient.SetBit(i); - } - } -} -*/ - -void PositiveDivide(Integer &remainder, Integer "ient, - const Integer &a, const Integer &b) -{ - unsigned aSize = a.WordCount(); - unsigned bSize = b.WordCount(); - - if (!bSize) - throw Integer::DivideByZero(); - - if (aSize < bSize) - { - remainder = a; - remainder.sign = Integer::POSITIVE; - quotient = Integer::Zero(); - return; - } - - aSize += aSize%2; // round up to next even number - bSize += bSize%2; - - remainder.reg.CleanNew(RoundupSize(bSize)); - remainder.sign = Integer::POSITIVE; - quotient.reg.CleanNew(RoundupSize(aSize-bSize+2)); - quotient.sign = Integer::POSITIVE; - - IntegerSecBlock T(aSize+3*(bSize+2)); - Divide(remainder.reg, quotient.reg, T, a.reg, aSize, b.reg, bSize); -} - -void Integer::Divide(Integer &remainder, Integer "ient, const Integer ÷nd, const Integer &divisor) -{ - PositiveDivide(remainder, quotient, dividend, divisor); - - if (dividend.IsNegative()) - { - quotient.Negate(); - if (remainder.NotZero()) - { - --quotient; - remainder = divisor.AbsoluteValue() - remainder; - } - } - - if (divisor.IsNegative()) - quotient.Negate(); -} - -void Integer::DivideByPowerOf2(Integer &r, Integer &q, const Integer &a, unsigned int n) -{ - q = a; - q >>= n; - - const size_t wordCount = BitsToWords(n); - if (wordCount <= a.WordCount()) - { - r.reg.resize(RoundupSize(wordCount)); - CopyWords(r.reg, a.reg, wordCount); - SetWords(r.reg+wordCount, 0, r.reg.size()-wordCount); - if (n % WORD_BITS != 0) - r.reg[wordCount-1] %= (word(1) << (n % WORD_BITS)); - } - else - { - r.reg.resize(RoundupSize(a.WordCount())); - CopyWords(r.reg, a.reg, r.reg.size()); - } - r.sign = POSITIVE; - - if (a.IsNegative() && r.NotZero()) - { - --q; - r = Power2(n) - r; - } -} - -Integer Integer::DividedBy(const Integer &b) const -{ - Integer remainder, quotient; - Integer::Divide(remainder, quotient, *this, b); - return quotient; -} - -Integer Integer::Modulo(const Integer &b) const -{ - Integer remainder, quotient; - Integer::Divide(remainder, quotient, *this, b); - return remainder; -} - -void Integer::Divide(word &remainder, Integer "ient, const Integer ÷nd, word divisor) -{ - if (!divisor) - throw Integer::DivideByZero(); - - assert(divisor); - - if ((divisor & (divisor-1)) == 0) // divisor is a power of 2 - { - quotient = dividend >> (BitPrecision(divisor)-1); - remainder = dividend.reg[0] & (divisor-1); - return; - } - - unsigned int i = dividend.WordCount(); - quotient.reg.CleanNew(RoundupSize(i)); - remainder = 0; - while (i--) - { - quotient.reg[i] = DWord(dividend.reg[i], remainder) / divisor; - remainder = DWord(dividend.reg[i], remainder) % divisor; - } - - if (dividend.NotNegative()) - quotient.sign = POSITIVE; - else - { - quotient.sign = NEGATIVE; - if (remainder) - { - --quotient; - remainder = divisor - remainder; - } - } -} - -Integer Integer::DividedBy(word b) const -{ - word remainder; - Integer quotient; - Integer::Divide(remainder, quotient, *this, b); - return quotient; -} - -word Integer::Modulo(word divisor) const -{ - if (!divisor) - throw Integer::DivideByZero(); - - assert(divisor); - - word remainder; - - if ((divisor & (divisor-1)) == 0) // divisor is a power of 2 - remainder = reg[0] & (divisor-1); - else - { - unsigned int i = WordCount(); - - if (divisor <= 5) - { - DWord sum(0, 0); - while (i--) - sum += reg[i]; - remainder = sum % divisor; - } - else - { - remainder = 0; - while (i--) - remainder = DWord(reg[i], remainder) % divisor; - } - } - - if (IsNegative() && remainder) - remainder = divisor - remainder; - - return remainder; -} - -void Integer::Negate() -{ - if (!!(*this)) // don't flip sign if *this==0 - sign = Sign(1-sign); -} - -int Integer::PositiveCompare(const Integer& t) const -{ - unsigned size = WordCount(), tSize = t.WordCount(); - - if (size == tSize) - return CryptoPP::Compare(reg, t.reg, size); - else - return size > tSize ? 1 : -1; -} - -int Integer::Compare(const Integer& t) const -{ - if (NotNegative()) - { - if (t.NotNegative()) - return PositiveCompare(t); - else - return 1; - } - else - { - if (t.NotNegative()) - return -1; - else - return -PositiveCompare(t); - } -} - -Integer Integer::SquareRoot() const -{ - if (!IsPositive()) - return Zero(); - - // overestimate square root - Integer x, y = Power2((BitCount()+1)/2); - assert(y*y >= *this); - - do - { - x = y; - y = (x + *this/x) >> 1; - } while (y<x); - - return x; -} - -bool Integer::IsSquare() const -{ - Integer r = SquareRoot(); - return *this == r.Squared(); -} - -bool Integer::IsUnit() const -{ - return (WordCount() == 1) && (reg[0] == 1); -} - -Integer Integer::MultiplicativeInverse() const -{ - return IsUnit() ? *this : Zero(); -} - -Integer a_times_b_mod_c(const Integer &x, const Integer& y, const Integer& m) -{ - return x*y%m; -} - -Integer a_exp_b_mod_c(const Integer &x, const Integer& e, const Integer& m) -{ - ModularArithmetic mr(m); - return mr.Exponentiate(x, e); -} - -Integer Integer::Gcd(const Integer &a, const Integer &b) -{ - return EuclideanDomainOf<Integer>().Gcd(a, b); -} - -Integer Integer::InverseMod(const Integer &m) const -{ - assert(m.NotNegative()); - - if (IsNegative()) - return Modulo(m).InverseMod(m); - - if (m.IsEven()) - { - if (!m || IsEven()) - return Zero(); // no inverse - if (*this == One()) - return One(); - - Integer u = m.Modulo(*this).InverseMod(*this); - return !u ? Zero() : (m*(*this-u)+1)/(*this); - } - - SecBlock<word> T(m.reg.size() * 4); - Integer r((word)0, m.reg.size()); - unsigned k = AlmostInverse(r.reg, T, reg, reg.size(), m.reg, m.reg.size()); - DivideByPower2Mod(r.reg, r.reg, k, m.reg, m.reg.size()); - return r; -} - -word Integer::InverseMod(word mod) const -{ - word g0 = mod, g1 = *this % mod; - word v0 = 0, v1 = 1; - word y; - - while (g1) - { - if (g1 == 1) - return v1; - y = g0 / g1; - g0 = g0 % g1; - v0 += y * v1; - - if (!g0) - break; - if (g0 == 1) - return mod-v0; - y = g1 / g0; - g1 = g1 % g0; - v1 += y * v0; - } - return 0; -} - -// ******************************************************** - -ModularArithmetic::ModularArithmetic(BufferedTransformation &bt) -{ - BERSequenceDecoder seq(bt); - OID oid(seq); - if (oid != ASN1::prime_field()) - BERDecodeError(); - m_modulus.BERDecode(seq); - seq.MessageEnd(); - m_result.reg.resize(m_modulus.reg.size()); -} - -void ModularArithmetic::DEREncode(BufferedTransformation &bt) const -{ - DERSequenceEncoder seq(bt); - ASN1::prime_field().DEREncode(seq); - m_modulus.DEREncode(seq); - seq.MessageEnd(); -} - -void ModularArithmetic::DEREncodeElement(BufferedTransformation &out, const Element &a) const -{ - a.DEREncodeAsOctetString(out, MaxElementByteLength()); -} - -void ModularArithmetic::BERDecodeElement(BufferedTransformation &in, Element &a) const -{ - a.BERDecodeAsOctetString(in, MaxElementByteLength()); -} - -const Integer& ModularArithmetic::Half(const Integer &a) const -{ - if (a.reg.size()==m_modulus.reg.size()) - { - CryptoPP::DivideByPower2Mod(m_result.reg.begin(), a.reg, 1, m_modulus.reg, a.reg.size()); - return m_result; - } - else - return m_result1 = (a.IsEven() ? (a >> 1) : ((a+m_modulus) >> 1)); -} - -const Integer& ModularArithmetic::Add(const Integer &a, const Integer &b) const -{ - if (a.reg.size()==m_modulus.reg.size() && b.reg.size()==m_modulus.reg.size()) - { - if (CryptoPP::Add(m_result.reg.begin(), a.reg, b.reg, a.reg.size()) - || Compare(m_result.reg, m_modulus.reg, a.reg.size()) >= 0) - { - CryptoPP::Subtract(m_result.reg.begin(), m_result.reg, m_modulus.reg, a.reg.size()); - } - return m_result; - } - else - { - m_result1 = a+b; - if (m_result1 >= m_modulus) - m_result1 -= m_modulus; - return m_result1; - } -} - -Integer& ModularArithmetic::Accumulate(Integer &a, const Integer &b) const -{ - if (a.reg.size()==m_modulus.reg.size() && b.reg.size()==m_modulus.reg.size()) - { - if (CryptoPP::Add(a.reg, a.reg, b.reg, a.reg.size()) - || Compare(a.reg, m_modulus.reg, a.reg.size()) >= 0) - { - CryptoPP::Subtract(a.reg, a.reg, m_modulus.reg, a.reg.size()); - } - } - else - { - a+=b; - if (a>=m_modulus) - a-=m_modulus; - } - - return a; -} - -const Integer& ModularArithmetic::Subtract(const Integer &a, const Integer &b) const -{ - if (a.reg.size()==m_modulus.reg.size() && b.reg.size()==m_modulus.reg.size()) - { - if (CryptoPP::Subtract(m_result.reg.begin(), a.reg, b.reg, a.reg.size())) - CryptoPP::Add(m_result.reg.begin(), m_result.reg, m_modulus.reg, a.reg.size()); - return m_result; - } - else - { - m_result1 = a-b; - if (m_result1.IsNegative()) - m_result1 += m_modulus; - return m_result1; - } -} - -Integer& ModularArithmetic::Reduce(Integer &a, const Integer &b) const -{ - if (a.reg.size()==m_modulus.reg.size() && b.reg.size()==m_modulus.reg.size()) - { - if (CryptoPP::Subtract(a.reg, a.reg, b.reg, a.reg.size())) - CryptoPP::Add(a.reg, a.reg, m_modulus.reg, a.reg.size()); - } - else - { - a-=b; - if (a.IsNegative()) - a+=m_modulus; - } - - return a; -} - -const Integer& ModularArithmetic::Inverse(const Integer &a) const -{ - if (!a) - return a; - - CopyWords(m_result.reg.begin(), m_modulus.reg, m_modulus.reg.size()); - if (CryptoPP::Subtract(m_result.reg.begin(), m_result.reg, a.reg, a.reg.size())) - Decrement(m_result.reg.begin()+a.reg.size(), m_modulus.reg.size()-a.reg.size()); - - return m_result; -} - -Integer ModularArithmetic::CascadeExponentiate(const Integer &x, const Integer &e1, const Integer &y, const Integer &e2) const -{ - if (m_modulus.IsOdd()) - { - MontgomeryRepresentation dr(m_modulus); - return dr.ConvertOut(dr.CascadeExponentiate(dr.ConvertIn(x), e1, dr.ConvertIn(y), e2)); - } - else - return AbstractRing<Integer>::CascadeExponentiate(x, e1, y, e2); -} - -void ModularArithmetic::SimultaneousExponentiate(Integer *results, const Integer &base, const Integer *exponents, unsigned int exponentsCount) const -{ - if (m_modulus.IsOdd()) - { - MontgomeryRepresentation dr(m_modulus); - dr.SimultaneousExponentiate(results, dr.ConvertIn(base), exponents, exponentsCount); - for (unsigned int i=0; i<exponentsCount; i++) - results[i] = dr.ConvertOut(results[i]); - } - else - AbstractRing<Integer>::SimultaneousExponentiate(results, base, exponents, exponentsCount); -} - -MontgomeryRepresentation::MontgomeryRepresentation(const Integer &m) // modulus must be odd - : ModularArithmetic(m), - m_u((word)0, m_modulus.reg.size()), - m_workspace(5*m_modulus.reg.size()) -{ - if (!m_modulus.IsOdd()) - throw InvalidArgument("MontgomeryRepresentation: Montgomery representation requires an odd modulus"); - - RecursiveInverseModPower2(m_u.reg, m_workspace, m_modulus.reg, m_modulus.reg.size()); -} - -const Integer& MontgomeryRepresentation::Multiply(const Integer &a, const Integer &b) const -{ - word *const T = m_workspace.begin(); - word *const R = m_result.reg.begin(); - const size_t N = m_modulus.reg.size(); - assert(a.reg.size()<=N && b.reg.size()<=N); - - AsymmetricMultiply(T, T+2*N, a.reg, a.reg.size(), b.reg, b.reg.size()); - SetWords(T+a.reg.size()+b.reg.size(), 0, 2*N-a.reg.size()-b.reg.size()); - MontgomeryReduce(R, T+2*N, T, m_modulus.reg, m_u.reg, N); - return m_result; -} - -const Integer& MontgomeryRepresentation::Square(const Integer &a) const -{ - word *const T = m_workspace.begin(); - word *const R = m_result.reg.begin(); - const size_t N = m_modulus.reg.size(); - assert(a.reg.size()<=N); - - CryptoPP::Square(T, T+2*N, a.reg, a.reg.size()); - SetWords(T+2*a.reg.size(), 0, 2*N-2*a.reg.size()); - MontgomeryReduce(R, T+2*N, T, m_modulus.reg, m_u.reg, N); - return m_result; -} - -Integer MontgomeryRepresentation::ConvertOut(const Integer &a) const -{ - word *const T = m_workspace.begin(); - word *const R = m_result.reg.begin(); - const size_t N = m_modulus.reg.size(); - assert(a.reg.size()<=N); - - CopyWords(T, a.reg, a.reg.size()); - SetWords(T+a.reg.size(), 0, 2*N-a.reg.size()); - MontgomeryReduce(R, T+2*N, T, m_modulus.reg, m_u.reg, N); - return m_result; -} - -const Integer& MontgomeryRepresentation::MultiplicativeInverse(const Integer &a) const -{ -// return (EuclideanMultiplicativeInverse(a, modulus)<<(2*WORD_BITS*modulus.reg.size()))%modulus; - word *const T = m_workspace.begin(); - word *const R = m_result.reg.begin(); - const size_t N = m_modulus.reg.size(); - assert(a.reg.size()<=N); - - CopyWords(T, a.reg, a.reg.size()); - SetWords(T+a.reg.size(), 0, 2*N-a.reg.size()); - MontgomeryReduce(R, T+2*N, T, m_modulus.reg, m_u.reg, N); - unsigned k = AlmostInverse(R, T, R, N, m_modulus.reg, N); - -// cout << "k=" << k << " N*32=" << 32*N << endl; - - if (k>N*WORD_BITS) - DivideByPower2Mod(R, R, k-N*WORD_BITS, m_modulus.reg, N); - else - MultiplyByPower2Mod(R, R, N*WORD_BITS-k, m_modulus.reg, N); - - return m_result; -} - -NAMESPACE_END - -#endif |