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445395c9d3
gcc and clang both provide a type called __uint128_t when compiling
for 64-bit targets, code-generated more or less similarly to the way
64-bit long longs are handled on 32-bit targets (spanning two
registers, using ADD/ADC, that sort of thing). Where this is available
(and they also provide a handy macro to make it easy to detect), we
should obviously use it, so that we can handle bignums a larger chunk
at a time and make use of the full width of the hardware's multiplier.
Preliminary benchmarking using 'testbn' suggests a factor of about 2.5
improvement.
I've added the new possibility to the ifdefs in sshbn.h, and also
re-run contrib/make1305.py to generate a set of variants of the
poly1305 arithmetic for the new size of BignumInt.
(cherry picked from commit f8b27925ee
)
Conflicts:
sshccp.c
Cherry-picker's notes: the conflict arose because the original commit
also added new 64-bit autogenerated forms of dedicated Poly1305
arithmetic, which doesn't exist on this branch.
110 lines
4.0 KiB
C
110 lines
4.0 KiB
C
/*
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* sshbn.h: the assorted conditional definitions of BignumInt and
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* multiply/divide macros used throughout the bignum code to treat
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* numbers as arrays of the most conveniently sized word for the
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* target machine. Exported so that other code (e.g. poly1305) can use
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* it too.
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*/
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/*
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* Usage notes:
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* * Do not call the DIVMOD_WORD macro with expressions such as array
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* subscripts, as some implementations object to this (see below).
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* * Note that none of the division methods below will cope if the
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* quotient won't fit into BIGNUM_INT_BITS. Callers should be careful
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* to avoid this case.
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* If this condition occurs, in the case of the x86 DIV instruction,
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* an overflow exception will occur, which (according to a correspondent)
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* will manifest on Windows as something like
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* 0xC0000095: Integer overflow
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* The C variant won't give the right answer, either.
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*/
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#if defined __SIZEOF_INT128__
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/* gcc and clang both provide a __uint128_t type on 64-bit targets
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* (and, when they do, indicate its presence by the above macro),
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* using the same 'two machine registers' kind of code generation that
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* 32-bit targets use for 64-bit ints. If we have one of these, we can
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* use a 64-bit BignumInt and a 128-bit BignumDblInt. */
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typedef __uint64_t BignumInt;
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typedef __uint128_t BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFFFFFFFFFFFFFULL
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#define BIGNUM_TOP_BIT 0x8000000000000000ULL
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#define BIGNUM_INT_BITS 64
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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#define DIVMOD_WORD(q, r, hi, lo, w) do { \
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BignumDblInt n = (((BignumDblInt)hi) << BIGNUM_INT_BITS) | lo; \
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q = n / w; \
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r = n % w; \
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} while (0)
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#elif defined __GNUC__ && defined __i386__
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typedef unsigned long BignumInt;
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typedef unsigned long long BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFFFFFUL
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#define BIGNUM_TOP_BIT 0x80000000UL
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#define BIGNUM_INT_BITS 32
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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#define DIVMOD_WORD(q, r, hi, lo, w) \
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__asm__("div %2" : \
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"=d" (r), "=a" (q) : \
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"r" (w), "d" (hi), "a" (lo))
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#elif defined _MSC_VER && defined _M_IX86
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typedef unsigned __int32 BignumInt;
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typedef unsigned __int64 BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFFFFFUL
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#define BIGNUM_TOP_BIT 0x80000000UL
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#define BIGNUM_INT_BITS 32
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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/* Note: MASM interprets array subscripts in the macro arguments as
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* assembler syntax, which gives the wrong answer. Don't supply them.
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* <http://msdn2.microsoft.com/en-us/library/bf1dw62z.aspx> */
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#define DIVMOD_WORD(q, r, hi, lo, w) do { \
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__asm mov edx, hi \
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__asm mov eax, lo \
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__asm div w \
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__asm mov r, edx \
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__asm mov q, eax \
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} while(0)
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#elif defined _LP64
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/* 64-bit architectures can do 32x32->64 chunks at a time */
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typedef unsigned int BignumInt;
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typedef unsigned long BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFFFFFU
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#define BIGNUM_TOP_BIT 0x80000000U
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#define BIGNUM_INT_BITS 32
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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#define DIVMOD_WORD(q, r, hi, lo, w) do { \
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BignumDblInt n = (((BignumDblInt)hi) << BIGNUM_INT_BITS) | lo; \
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q = n / w; \
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r = n % w; \
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} while (0)
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#elif defined _LLP64
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/* 64-bit architectures in which unsigned long is 32 bits, not 64 */
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typedef unsigned long BignumInt;
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typedef unsigned long long BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFFFFFUL
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#define BIGNUM_TOP_BIT 0x80000000UL
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#define BIGNUM_INT_BITS 32
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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#define DIVMOD_WORD(q, r, hi, lo, w) do { \
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BignumDblInt n = (((BignumDblInt)hi) << BIGNUM_INT_BITS) | lo; \
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q = n / w; \
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r = n % w; \
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} while (0)
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#else
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/* Fallback for all other cases */
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typedef unsigned short BignumInt;
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typedef unsigned long BignumDblInt;
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#define BIGNUM_INT_MASK 0xFFFFU
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#define BIGNUM_TOP_BIT 0x8000U
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#define BIGNUM_INT_BITS 16
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#define MUL_WORD(w1, w2) ((BignumDblInt)w1 * w2)
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#define DIVMOD_WORD(q, r, hi, lo, w) do { \
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BignumDblInt n = (((BignumDblInt)hi) << BIGNUM_INT_BITS) | lo; \
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q = n / w; \
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r = n % w; \
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} while (0)
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#endif
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#define BIGNUM_INT_BYTES (BIGNUM_INT_BITS / 8)
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