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Groups > comp.lang.c++ > #121930

Re: a MSVC and glibc-compatible fmod()

From Michael S <already5chosen@yahoo.com>
Newsgroups comp.lang.c++
Subject Re: a MSVC and glibc-compatible fmod()
Date 2025-03-10 14:26 +0200
Organization A noiseless patient Spider
Message-ID <20250310142648.00005b3c@yahoo.com> (permalink)
References (11 earlier) <20250309140932.0000303d@yahoo.com> <vqkf9p$qh6l$1@raubtier-asyl.eternal-september.org> <20250309200407.0000036c@yahoo.com> <vqm0id$17aku$1@raubtier-asyl.eternal-september.org> <vqmcee$19g55$1@raubtier-asyl.eternal-september.org>

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On Mon, 10 Mar 2025 10:46:59 +0100
Bonita Montero <Bonita.Montero@gmail.com> wrote:

> I tried to use a unsigned __int128 / uint64_t division and I expected
> that the compiler calls a library function which does the subtract and
> shift manually. But g++ as well as clang++ handle this as a 128 : 64
> -> 64#64 division somehow.  


Somehow?
It should be an obvious thing to anybody who cared to think for 15
seconds.
A library-or-compiler starts with hi1=rem(0:x_hi, y). Now hi1 is
guaranteed to be smaller than y, so it's safe to do rem(hi1:x_lo, y).
It is not *very* slow, but still there are 2 dependent division
operations. 
So, on machines with slow integer division, like Skylake, it is 1.5-1.7
times slower than a single long division.
On machines with fast long division, like Zen3/4/5 or "performance"
cores on newer Intel CPUs, it is approximately twice slower than a
single long division. Plus call overhead, so 2.5x or so slower overall.

> And now my original solution is about 23% faster than your solution
> for close exponents (exponent difference <= 53) and for arbitrary
> exponent differences your solution is about 3% faster.
> 

That's absolutely not what I see. 
Here are my measurements:

Measurements in nsec. 
First result - Intel Skylake at 4.25 GHz
Second result - AMD Zen3 at 3.7 GHz

abs(x/y) in range that matters [0.5:2**53]:
Standard MSVC Library -  11.1  10.4
Standard gnu Library  -   5.4  10.7
Yours (MSVc)          -  27.6  11.5
Yours (gcc)           -  36.4  23.7 
Yours (clang)         -  37.4  24.3
my (MSVc)             -  10.7  11.3
my (gcc)              -   7.7   7.6 
my (clang)            -   6.3   7.5
Your last (MSVc)      -  27.6  11.6
Your last (gcc)       -  33.8  28.6
Your last (clang)     -  32.6  26.9

abs(x/y) in full range [2**-2090:2**2090]:
Standard MSVC Library - 109.4 153.5
Standard glib Library - 102.3 155.5
Yours (MSVc)          - 134.9  52.6
Yours (gcc)           - 284.7 151.8
Yours (clang)         - 285.2 156.5
my (MSVc)             -  62.1  61.1
my (gcc)              -  60.8  59.1 
my (clang)            -  59.9  59.3
Your last (MSVc)      - 135.0  52.5
Your last (gcc)       - 172.1 137.3
Your last (clang)     - 167.7 126.3


It looks like you are not using version that I posted at 2025-03-03
as a reference.
The only case where you code is running at approximately the same speed
as my code is MSVC-generated code on CPUs with fast integer division.
And it was like that since your previous version. I see no changes in
that regard.

> double fmodO( double x, double y )
> {
> 	constexpr uint64_t
> 		SIGN = 1ull << 63,
> 		IMPLICIT = 1ull << 52,
> 		MANT = IMPLICIT - 1,
> 		QBIT = 1ull << 51;
> 	uint64_t const
> 		binX = bit_cast<uint64_t>( x ),
> 		binY = bit_cast<uint64_t>( y );
> 	static auto abs = []( uint64_t m ) { return m & ~SIGN; };
> 	auto isNaN = []( uint64_t m ) { return abs( m ) >=
> 0x7FF0000000000001u; }; auto isSig = []( uint64_t m ) { return !(m &
> QBIT); }; if( isNaN( binX ) ) [[unlikely]] // x == NaN
> #if defined(_MSC_VER)
> 		return bit_cast<double>( isNaN( binY ) ? binY | binX
> & binY & QBIT : binX );
> #else
> 	{
> 		if( isSig( binX ) || isNaN( binY ) && isSig( binY ) )
> [[unlikely]] feraiseexcept( FE_INVALID );
> 		return bit_cast<double>( binX | QBIT );
> 	}
> #endif
> 	if( isNaN( binY ) ) [[unlikely]] // x != NaN || y == NaN
> #if defined(_MSC_VER)
> 		return y;
> #else
> 	{
> 		if( isSig( binY ) ) [[unlikely]]
> 			feraiseexcept( FE_INVALID );
> 		return bit_cast<double>( binY | QBIT );
> 	}
> #endif
> 	auto isInf = []( uint64_t m ) { return abs( m ) ==
> 0x7FF0000000000000u; }; if( isInf( binX ) ) // x == Inf
> 	{
> 		feraiseexcept( FE_INVALID );
> #if defined(_MSC_VER)
> 		return bit_cast<double>( binX & ~MANT | QBIT );
> #else
> 		return -numeric_limits<double>::quiet_NaN();
> #endif
> 	}
> 	if( !abs( binY ) ) [[unlikely]] // y == 0
> 	{
> 		feraiseexcept( FE_INVALID );
> #if defined(_MSC_VER)
> 		return numeric_limits<double>::quiet_NaN();
> #else
> 		return -numeric_limits<double>::quiet_NaN();
> #endif
> 	}
> 	if( !abs( binX ) || isInf( binY ) ) [[unlikely]] // x == 0 ||
> y == Inf return x;
> 	auto exp = []( uint64_t b ) -> int { return b >> 52 & 0x7FF;
> }; int
> 		expX = exp( binX ),
> 		expY = exp( binY );
> 	auto mant = []( uint64_t b ) { return b & MANT; };
> 	uint64_t
> 		mantX = mant( binX ),
> 		mantY = mant( binY );
> 	int headBits = 11;
> 	static auto normalize = [&]( int &exp, uint64_t &mant )
> 	{
> 		unsigned shift = countl_zero( mant ) - headBits;
> 		mant <<= shift;
> 		exp -= shift;
> 	};
> 	auto build = []( int &exp, uint64_t &mant )
> 	{
> 		if( exp ) [[likely]]
> 			mant |= IMPLICIT;
> 		else
> 		{
> 			exp = 1;
> 			normalize( exp, mant );
> 		}
> 	};
> 	build( expX, mantX );
> 	build( expY, mantY );
> 	int
> 		tailX = countr_zero( mantX ),
> 		tailY = countr_zero( mantY ),
> 		tailBits = tailX <= tailY ? tailX : tailY;
> 	mantX >>= tailBits;
> 	mantY >>= tailBits;
> 	headBits += tailBits;
> 	uint64_t signX = binX & SIGN;
> 	int expDiff;
> #if defined(_MSC_VER) && !defined(__llvm__) && defined(_M_X64)
> 	while( (expDiff = expX - expY) > 0 )
> 	{
> 		unsigned bits = expDiff <= 63 ? expDiff : 63;
> 		unsigned long long hi = mantX >> 64 - bits, lo =
> mantX << bits, remainder; (void)_udiv128( hi, lo, mantY, &remainder );
> 		if( !remainder ) [[unlikely]]
> 			return bit_cast<double>( signX );
> 		mantX = remainder;
> 		expX -= bits;
> 		normalize( expX, mantX );
> 	}
> #elif defined(__GNUC__) || defined(__clang__)
> 	while( (expDiff = expX - expY) > 0 )
> 	{
> 		unsigned bits = expDiff <= 63 ? expDiff : 63;
> 		unsigned __int128 dividend = (unsigned __int128)mantX
> << bits; mantX = (uint64_t)(dividend % mantY);
> 		if( !mantX ) [[unlikely]]
> 			return bit_cast<double>( signX );
> 		expX -= bits;
> 		normalize( expX, mantX );
> 	}
> #else
> 	while( (expDiff = expX - expY) > 0 )
> 	{
> 		unsigned bits = expDiff <= headBits ? expDiff :
> headBits; if( !(mantX = (mantX << bits) % mantY) ) [[unlikely]]
> 			return bit_cast<double>( signX );
> 		expX -= bits;
> 		normalize( expX, mantX );
> 	}
> #endif
> 	if( !expDiff && mantX >= mantY ) [[unlikely]]
> 		if( (mantX -= mantY) ) [[likely]]
> 			normalize( expX, mantX );
> 		else
> 			return bit_cast<double>( signX );
> 	mantX <<= tailBits;
> 	mantY <<= tailBits;
> 	if( expX <= 0 ) [[unlikely]]
> 	{
> 		assert(expX >= -51);
> 		mantX = mantX >> (unsigned)(-expX + 1);
> 		expX = 0;
> 	}
> 	return bit_cast<double>( signX | (uint64_t)expX << 52 | mantX
> & MANT ); }


You code would be much, much cleaner and more readable if you replace
lambdas with proper functions. Or just write simple expressions like 'x
& MANT' in place.



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Thread

a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-24 11:48 +0100
  Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-24 12:00 +0000
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-24 13:48 +0100
      Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-24 13:09 +0000
        Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-24 14:22 +0100
          Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-24 17:13 +0200
            Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-24 16:19 +0100
              Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-24 17:52 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 09:09 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 16:17 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-25 17:26 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 16:45 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 16:57 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-25 19:17 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 18:58 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-26 00:36 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-26 04:15 +0100
                Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-26 08:16 +0000
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-26 14:27 +0200
                Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-26 14:39 +0000
                FP_CONTRACT was : a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-28 16:28 +0200
                Re: FP_CONTRACT was : a MSVC and glibc-compatible fmod() Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-03-01 08:35 -0800
        Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-24 16:22 +0200
          Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-24 15:10 +0000
            Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-24 17:33 +0200
              Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-24 16:48 +0000
  Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-24 22:21 +0000
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-25 07:37 +0100
      Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-25 23:03 +0000
        Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-26 02:00 +0200
        Re: a MSVC and glibc-compatible fmod() Wuns Haerst <Wuns.Haerst@wurstfabrik.at> - 2025-02-26 04:01 +0100
    Re: a MSVC and glibc-compatible fmod() Muttley@DastardlyHQ.org - 2025-02-25 08:24 +0000
  Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-27 21:16 +0000
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-28 07:59 +0100
    Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-02-28 12:35 +0200
      Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-28 18:12 +0000
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-28 19:23 +0100
  Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-28 18:30 +0000
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-28 19:31 +0100
      Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-02-28 19:47 +0000
        Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-02-28 20:49 +0100
          Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-01 14:37 +0000
            Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-01 16:58 +0100
              Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-01 17:11 +0000
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-01 21:02 +0100
                Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-01 20:32 +0000
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-01 21:37 +0100
                Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-01 20:45 +0000
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 09:40 +0100
  Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-01 22:55 +0200
    Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 18:54 +0200
      Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 17:59 +0100
  Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 15:41 +0200
    Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 17:10 +0100
      Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-02 16:22 +0000
        Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 17:26 +0100
          Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 19:07 +0200
            Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 18:09 +0100
              Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 18:11 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 19:52 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 18:55 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 20:09 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 19:14 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 19:57 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 22:58 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-03 12:52 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-03 18:10 +0200
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-03 23:55 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-07 09:51 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-03 18:20 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-03 17:30 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-03 19:27 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-03 18:39 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-03 02:01 +0200
        Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 19:37 +0200
          Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 18:41 +0100
            Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-02 20:00 +0200
              Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-02 19:01 +0100
      Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 01:31 +0200
        Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 07:41 +0100
          Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 11:08 +0200
            Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 10:31 +0100
              Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 11:46 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 10:54 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 12:09 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 11:21 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 14:09 +0200
                Re: a MSVC and glibc-compatible fmod() Mr Flibble <leigh@i42.co.uk> - 2025-03-09 15:26 +0000
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 17:02 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 19:55 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 19:10 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 19:27 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 17:23 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 20:04 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 19:11 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 20:11 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 07:24 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 10:46 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 14:26 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 13:45 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 16:33 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 15:46 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 16:59 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 16:11 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 17:43 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 17:13 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 19:51 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 19:00 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 20:38 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 22:34 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 22:36 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 12:47 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 23:52 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 23:57 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-11 09:34 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 12:29 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-11 12:12 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 13:34 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-11 13:10 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 14:55 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-11 14:08 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 15:46 +0200
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 13:51 +0200
                Re: a MSVC and glibc-compatible fmod() James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-03-11 14:21 -0400
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-11 20:28 +0200
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-16 13:48 +0200
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-10 13:17 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 12:53 +0100
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-10 12:54 +0100
              Re: a MSVC and glibc-compatible fmod() wij <wyniijj5@gmail.com> - 2025-03-09 18:51 +0800
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 12:56 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 14:23 +0200
                Re: a MSVC and glibc-compatible fmod() Bonita Montero <Bonita.Montero@gmail.com> - 2025-03-09 13:39 +0100
                Re: a MSVC and glibc-compatible fmod() Michael S <already5chosen@yahoo.com> - 2025-03-09 14:56 +0200

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