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charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Hi, We had very interesting discussions during our presentation with Paul on the support of complex numbers in gcc at the Cauldron. Thank you all for your participation ! Here is a small summary from our viewpoint: - Replace CONCAT with a backend defined internal representation in RTL --> No particular problems - Allow backend to write patterns for operation on complex modes --> No particular problems - Conditional lowering depending on whether a pattern exists or not --> Concerns when the vectorization of split complex operations performs better    than not vectorized unified complex operations - Centralize complex lowering in cplxlower --> No particular problems if it doesn't prevent IEEE compliance and    optimizations (like const folding) - Vectorization of complex operations --> 2 representations (interleaved and separated real/imag): cannot impose one    if some machines prefer the other --> Complex are composite modes, the vectorizer assumes that the inner mode is    scalar to do some optimizations (which ones ?) --> Mixed split/unified complex operations cannot be vectorized easely --> Assuming that the inner representation of complex vectors is let to target    backends, the vectorizer doesn't know it, which prevent some optimizations    (which ones ?) - Explicit vectors of complex --> Cplxlower cannot lower it, and moving veclower before cplxlower is a bad    idea as it prevents some optimizations --> Teaching cplxlower how to deal with vectors of complex seems to be a    reasonable alternative --> Concerns about ABI or indexing if the internal representation is let to the    backend and differs from the representation in memory - Impact of the current SLP pattern matching of complex operations --> Only with -ffast-math --> It can match user defined operations (not C99) that can be simplified with a    complex instruction --> Dedicated opcode and real vector type choosen VS standard opcode and complex    mode in our implementation --> Need to preserve SLP pattern matching as too many applications redefines    complex and bypass C99 standard. --> So need to harmonize with our implementation - Support of the pure imaginary type (_Imaginary) --> Still not supported by gcc (and llvm), neither in our implementation --> Issues comes from the fact that an imaginary is not a complex with real part    set to 0 --> The same issue with complex multiplication by a real (which is split in the    frontend, and our implementation hasn't changed it yet) --> Idea: Add an attribute to the Tree complex type which specify pure real / pure    imaginary / full complex ? - Fast pattern for IEEE compliant emulated operations --> Not enough time to discuss about it Don't hesitate to add something or bring more precision if you want. As I said at the end of the presentation, we have written a paper which explains our implementation in details. You can find it attached to this mail (and latter in the wiki page of the Cauldron). Sylvain 66,4          Bot --secu_7699254e2c87994a58c374f1c318389b_part1 Content-Type: application/pdf; name=exposing_complex_numbers_to_target_backends_GNU_Cauldron_2023.pdf Content-Disposition: attachment; filename=exposing_complex_numbers_to_target_backends_GNU_Cauldron_2023.pdf Content-Transfer-Encoding: base64 JVBERi0xLjUKJb/3ov4KMjAxIDAgb2JqCjw8IC9MaW5lYXJpemVkIDEgL0wgNzE1ODIzIC9IIFsg Mjc1NyA0MDggXSAvTyAyMDUgL0UgMTczNjc2IC9OIDE0IC9UIDcxNDM0NSA+PgplbmRvYmoKICAg ICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAg ICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKMjAyIDAgb2JqCjw8 IC9UeXBlIC9YUmVmIC9MZW5ndGggMTQ4IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9EZWNvZGVQYXJt cyA8PCAvQ29sdW1ucyA1IC9QcmVkaWN0b3IgMTIgPj4gL1cgWyAxIDMgMSBdIC9JbmRleCBbIDIw MSAyOTggXSAvSW5mbyAxMjYgMCBSIC9Sb290IDIwMyAwIFIgL1NpemUgNDk5IC9QcmV2IDcxNDM0 NiAgICAgICAgICAgICAgICAvSUQgWzxlNTUyYTFiODE0MTY3MDVhMGUxYjMzMzQ3YzQxNGZkZD48 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