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[PATCH] Optimize to_chars


Bunch of micro optimizations for std::to_chars:
* For base == 8 replacing the lookup in __digits table with arithmetic
computations leads to a same CPU cycles for a loop (exchanges two
movzx with 3 bit ops https://godbolt.org/z/RTui7m ). However this
saves 129 bytes of data and totally avoids a chance of cache misses on
__digits.
* For base == 16 replacing the lookup in __digits table with
arithmetic computations leads to a few additional instructions, but
totally avoids a chance of cache misses on __digits (- ~9 cache misses
for worst case) and saves 513 bytes of const data.
* Replacing __first[pos] and __first[pos - 1] with __first[1] and
__first[0] on final iterations saves ~2% of code size.
* Removing trailing '\0' from arrays of digits allows the linker to
merge the symbols (so that "0123456789abcdefghijklmnopqrstuvwxyz" and
"0123456789abcdef" could share the same address). This improves data
locality and reduces binary sizes.
* Using __detail::__to_chars_len_2 instead of a generic
__detail::__to_chars_len makes the operation O(1) instead of O(N). It
also makes the code two times shorter ( https://godbolt.org/z/Peq_PG)
.

In sum: this significantly reduces the size of a binary (for about
4KBs only for base-8 conversion https://godbolt.org/z/WPKijS ), deals
with latency (CPU cache misses) without changing the iterations count
and without adding costly instructions into the loops.

Changelog:
    * include/std/charconv (__detail::__to_chars_8,
    __detail::__to_chars_16): Replace array of precomputed digits
    with arithmetic operations to avoid CPU cache misses. Remove
    zero termination from array of digits to allow symbol merge with
    generic implementation of __detail::__to_chars. Replace final
    offsets with constants. Use __detail::__to_chars_len_2 instead
    of a generic __detail::__to_chars_len.
    * include/std/charconv (__detail::__to_chars): Remove
    zero termination from array of digits.
    * include/std/charconv (__detail::__to_chars_2): Leading digit
    is always '1'.

-- 
Best regards,
Antony Polukhin

Attachment: charconv_patch.txt
Description: Text document


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