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Optimize integer arithmetic #7553

Merged
merged 7 commits into from
Aug 21, 2023
Merged

Optimize integer arithmetic #7553

merged 7 commits into from
Aug 21, 2023
+1,491 −343

Commits on Aug 18, 2023

  1. small_SUITE: Unload generated test modules

    @bjorng
    bjorng committed Aug 18, 2023
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  2. Fuse multiplication with addition 

    Fuse a multiplication operator followed by an addition operator.
That will generally reduce the number of instructions compared
to having separate operators.
    @bjorng
    bjorng committed Aug 18, 2023
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  3. Optimize division by powers of two 

    We used to replace division by a power of two with a right shift
only when the dividend was known to be a positive integer. Extend
the implementation to do right shift when the range of the dividend
is unknown.
    @bjorng
    bjorng committed Aug 18, 2023
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  4. Optimize bsr for small operands 

    Inline the code for right shift a small operand any number steps.
We used to call a helper routine when the shift count exceeded the
number of bits in a small.
    @bjorng
    bjorng committed Aug 18, 2023
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  5. Optimize helper macro used for bignum arithmetic

    @bjorng
    bjorng committed Aug 18, 2023
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  6. Optimize squaring of big integers 

    The routine for squaring a big integer did not have all optimizations
that the multiplication routine had.
    @bjorng
    bjorng committed Aug 18, 2023
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  7. Optimize the implementation of the Karatsuba algorithm 

    This commit implements the Karatsuba algorithm in a way
that reduces the number of additions, resulting in a measureable
performance improvement for multiplication of large integers.
    @bjorng
    bjorng committed Aug 18, 2023
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