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Use 64-bit BignumInt wherever __uint128_t is available.
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.
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sshbn.h
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sshbn.h
@ -20,7 +20,24 @@
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* The C variant won't give the right answer, either.
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*/
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#if defined __GNUC__ && defined __i386__
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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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