On 2026-01-21 21:46, KENNON J CONRAD via Cygwin wrote:
First paragraph should say:

    Thank you, that seems logical since log2() should be more natural (faster?) to 
compute than log().  But what you describe is almost exactly opposite of what I see with 
"GCC: (GNU) 13.4.0".

On 01/21/2026 8:41 PM PST KENNON J CONRAD via Cygwin <[email protected]> wrote:

Hello Jakob,

    Thank you, that seems logical since log2 should be more natural (faster?) to compute 
log2() than log().  But what you describe is almost exactly of what I see with "GCC: 
(GNU) 13.4.0".

For this code snipet:

   uint8_t i;
   double j = 0.0;
   for (i = 1 ; i <= 10 ; i++)
     j += log2((double)i);

The assembler shows this for the loop (gcc -O3 -S test.c):

.L2:
        movzbl  %bl, %eax
        pxor    %xmm0, %xmm0
        addl    $1, %ebx
        cvtsi2sdl       %eax, %xmm0
        call    log
        divsd   %xmm7, %xmm0
        addsd   %xmm0, %xmm6
        cmpb    $11, %bl
        jne     .L2

So it uses the log function in place of the log2 function with the argument in 
xmm0 and the result in xmm0, and then divides the result by log2(e), which is 
in xmm7.  (The sum (j) is accumulated in xmm6.)

 From an efficiency standpoint, I find this to be...disappointing.  Log2 should 
be easier to compute, the divide should not be needed, and xmm7 gets 
unnecessarily consumed to store the conversion constant.  I even question 
whether the pxor is necessary.

Interestingly, if I compile with g++ -O3 -S test.c, I get something more 
reasonable:
.L2:
        movzbl  %bl, %eax
        pxor    %xmm0, %xmm0
        addl    $1, %ebx
        cvtsi2sdl       %eax, %xmm0
        call    log2
        addsd   %xmm0, %xmm6
        cmpb    $11, %bl
        jne     .L2

So part of the solution may be for this old guy to figure out what it takes to 
make the rest of his code c++ compliant.

Best Regards,

Kennon

On 01/21/2026 6:33 PM PST Jakob Bohm via Cygwin <[email protected]> wrote:

On 18/01/2026 21:00, KENNON J CONRAD via Cygwin wrote:
Hello,
I am not an experienced cygwin user but have been using it to compile code on Windows (gcc), so I may be leaving out some key details. My issue is that for every log2 call in my code there is a divide that follows a log library call in the assembly code. It appears to be related to these lines in math.h: #if !defined(__cplusplus)
#define log2(x) (log (x) / _M_LN2)
#endif
My questions are: If log(x) is used, wouldn't it be faster to multiply by constant (1/LN2) instead of divide by constant (LN2)? And wouldn't it be even more efficient to compute log2 directly instead of computing the natural log and then converting it to log2? I realize this is not a "bug", it just doesn't seem very optimal from an speed standpoint.
Please note, that on the x86 and x86_64 platforms, the natural log
function log() is often implemented in terms of the intrinsic log2()
function multiplied by log(2), which is done by the instruction FYL2X,
thus preferably the x86 family port of newlib should include an
intrinsic or inline implementation such as something doing the
assembler sequence FLD1, FXCH, FYL2X, which takes the arg in ST(0)
and returns the log2() result in ST(0).  For targets that tend to
run the floating point subsystem in a mode other than traditional
x87, perhaps finding similar inline code for SSE or MMX would be
needed.  Other libc implementations may include the needed code in
gcc-compatible format already.

Cygwin includes assembler implementations for this and other functions in long double - #undef log2 may allow access to that function, as they appear to be built into libm.a and cygwin1.dll:

        https://cygwin.com/cgit/newlib-cygwin/tree/winsup/cygwin/math/log2l.S
https://cygwin.com/cgit/newlib-cygwin/blame/winsup/cygwin/cygwin.din#n924

--
Take care. Thanks, Brian Inglis              Calgary, Alberta, Canada

La perfection est atteinte                   Perfection is achieved
non pas lorsqu'il n'y a plus rien à ajouter  not when there is no more to add
mais lorsqu'il n'y a plus rien à retrancher  but when there is no more to cut
                                -- Antoine de Saint-Exupéry

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