20200206, 21:23  #12 
"Yves"
Jul 2017
Belgium
2×5^{2} Posts 
The problem of long and short scales :https://en.wikipedia.org/wiki/Long_and_short_scales … but 5E13 is already in itself a terrific result !

20200207, 09:19  #13  
"Robert Gerbicz"
Oct 2005
Hungary
1411_{10} Posts 
Quote:
Doable, pretty short words. 

20200207, 09:42  #14 
Romulan Interpreter
Jun 2011
Thailand
8876_{10} Posts 
Do they have a record for the "longest" speaker? Like the person who talked without a pause for a while?
(we wanted to send the former link to swmbo with the title "someone have beaten you already" but it occured to us that she's actually not a fast speaker, so we refrained ourselves on doing such a terrible mistake... ) Last fiddled with by LaurV on 20200207 at 09:45 
20200207, 09:47  #15  
Sep 2016
7·47 Posts 
Woah, I go away for a while and didn't notice all these new posts!
Quote:
But there are a few technicalities: The large multiplications are done inplace. So the output overwrites the inputs. (the multiplication is still done using the FFT scratch buffers) 1) One problem is that I don't support checkpointing inside the large multiplications. Thus I can only checkpoint before or after a large multiplication. But if you encapsulate the multiplication into an indivisible operation, it becomes a destructive operation that destroys the inputs. Thus if something goes wrong inside the multiply, you cannot roll back to before the multiply because you've already destroyed the inputs. This inplaceness of the multiplications within the baseconversion will chain up. Thus there's no point where you can do a checkpoint other than before the entire conversion begins. 2) The other problem is that checkpointing is done with filegranularity. I don't support checkpointing parts of a file. The binary>radix conversions involve recursively splitting up the binary input into smaller and smaller portions which you eventually write piecewise into a large output buffer (in the desired radix). The presents a problem. That output buffer is allocated as single contiguous storage region as a single file. I can't write to parts of the file, checkpoint it, then write to other parts. The reason I can't do that is due sector alignment. Let's say the following is a partially written sector that's been checkpointed: 0123456789xxxxxx Then in a later operation, I want to write out the rest of the sector so that it is: 0123456789abcdef However. When you access disk, the entire sector must be read/written at once. The later operation needs to do a readmodifywrite to data that is part of the previous checkpoint. If something goes wrong during this step, it will corrupt the previous checkpoint!  Long story short, I believe both of issues are surmountable. But I haven't done the necessary research into it yet. For example, the inplaceness issue (1) can be overcome by having two working buffers and writing backandforth between them. But the base conversion already uses the most storage of the entire computation. The sectoralignment is probably solvable by keeping a separate mapping that stores backups of all partially written sectors. But saying that this is a mess in the context of the software raid layer and manual errordetection checksums is an understatement. Last fiddled with by Mysticial on 20200207 at 09:55 

20200207, 10:14  #16  
Sep 2016
511_{8} Posts 
Quote:
Each multiply is a middleproduct FFT that splits a 2Nbit binary input into two Nbit binary outputs which are written back into the same memory  overwriting the 2Nbit input. One of the Nbit outputs is the same as the upperhalf of the 2Bbit output. Thus instead of overwriting the entire memory region, the "new" Nbit output overwrites the nolongerneeded portion of the 2Nbit input. This partial write is hard to checkpoint due to problem (2) of the previous post. Since the inplace multiply is the only operation for the entire radix conversion, these inplace multiplications form a dependency chain/tree that prevents any sort of checkpointing at any step. Last fiddled with by Mysticial on 20200207 at 10:20 

20200209, 02:45  #17  
Feb 2017
Nowhere
3×5×239 Posts 
Quote:
Quote:
Quote:


20200519, 04:32  #18  
Aug 2010
1001001100_{2} Posts 
Quote:
https://www.mersenneforum.org/showpo...&postcount=716 http://www.numberworld.org/digits/Log(2)/ 

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