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   comp.lang.forth      Forth programmers eat a lot of Bratwurst      117,927 messages   

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   Message 117,483 of 117,927   
   Anton Ertl to minforth   
   Re: Vector sum   
   19 Jul 25 14:51:00   
   
   From: anton@mips.complang.tuwien.ac.at   
      
   minforth  writes:   
   >Am 19.07.2025 um 12:18 schrieb Anton Ertl:   
   >   
   >> One way to deal with all that would be to have a long-vector stack and   
   >> have something like my vector wordset   
   >> , where the sum of a vector   
   >> would be a word that is implemented in some lower-level way (e.g.,   
   >> assembly language); the sum of a vector is actually a planned, but not   
   >> yet existing feature of this wordset.   
   >>   
   >   
   >Not wanting to sound negative, but who in practice adds up long   
   >vectors, apart from testing compilers and fp-arithmetic?   
      
   Everyone who does dot-products.   
      
   >Dot products, on the other hand, are fundamental for many linear   
   >algebra algorithms, eg. matrix multiplication and AI.   
      
   If I add a vector-sum word   
      
   df+red ( dfv -- r )   
   \ r is the sum of the elements of dfv   
      
   to the vector wordset, then the dot-product is:   
      
   : dot-product ( dfv1 dfv2 -- r )   
     df*v df+red ;   
      
   Concerning matrix multiplication, while you can use the dot-product   
   for it, there are many other ways to do it, and some are more   
   efficient (although, admittedly, I have not used pairwise addition for   
   these ways).   
      
   - anton   
   --   
   M. Anton Ertl  http://www.complang.tuwien.ac.at/anton/home.html   
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