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2016-11-30T00:43:39Z n_blownapart: hi in Euclid's algorithm is the first division, or "step counted, where a and b are switched around? (line 19).  < k steps > are used to calculate lame's theorem to find a fibonacci number    https://www.refheap.com/124025   thanks
2016-11-30T00:44:53Z n_blownapart: I'm a bit confused about the first modulo calculation, ie how  55 is returned as the remainder
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2016-11-30T05:05:14Z n_blownapart: re: euclid's algorithm and its relation to fibonacci numbers. the 1st question I have is during the calculation the modulo essentially switches the two arguments so the larger (fibonacci in this case) number is to the left. does that count as a division or "step" ? https://www.refheap.com/124029
2016-11-30T05:05:37Z n_blownapart: during the *first calculation
2016-11-30T05:06:36Z n_blownapart: my note states 10 steps but is it actually 9 steps?
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2016-11-30T05:10:37Z qu1j0t3: n_blownapart: myself, i'd count every remainder as "one operation"
2016-11-30T05:12:43Z n_blownapart: hey qu1j0t3 .. ok, because the first modulo switches the place so that the fibonacci numbers are in opposite sequence, so that is *not* an operation?
2016-11-30T05:15:20Z n_blownapart: If you have time I have a few questions on this.. ^
2016-11-30T05:15:44Z qu1j0t3: I would argue yes, that is absolutely "an operation".
2016-11-30T05:16:03Z qu1j0t3: it just HAPPENS to be the effect of that remainder. It isn't a different operation.
2016-11-30T05:16:19Z qu1j0t3: see what I mean?
2016-11-30T05:16:26Z qu1j0t3: the operation is identical, the cost is identical.
2016-11-30T05:16:41Z n_blownapart: I do, yes thanks  ..  so ..
2016-11-30T05:17:08Z n_blownapart: so it is my lack of understanding of modulo ("remainder" in this case)
2016-11-30T05:17:34Z qu1j0t3: think of it as one of the results of a division.
2016-11-30T05:18:11Z n_blownapart: because if you divide a smaller number by a larger number, it returns the smaller. what is modulo essentially doing in that case?
2016-11-30T05:18:13Z qu1j0t3: a division really produces a quotient and remainder, but we have two split operations by convention only
2016-11-30T05:18:35Z n_blownapart: two split operations?
2016-11-30T05:18:44Z qu1j0t3: yes, separate division and remainder operations.
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2016-11-30T05:18:56Z qu1j0t3: even though a division really produces a quotient AND a remainder.
2016-11-30T05:19:11Z qu1j0t3: that's only tangentially relevant to your question though)
2016-11-30T05:19:30Z n_blownapart: so in other words the division "fails" and the fully undivided a parameter is left in tact
2016-11-30T05:19:51Z qu1j0t3: n_blownapart: smaller modulo larger always produces the smaller.
2016-11-30T05:20:19Z qu1j0t3: well, it doesn't fail; the quotient is just zero.
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2016-11-30T05:23:27Z qu1j0t3: #;1> (quotient 55 89)
2016-11-30T05:23:29Z qu1j0t3: 0
2016-11-30T05:23:31Z qu1j0t3: #;2> (remainder 55 89)
2016-11-30T05:23:33Z qu1j0t3: 55
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2016-11-30T05:37:15Z n_blownapart: test
2016-11-30T05:37:25Z qu1j0t3: worked
2016-11-30T05:37:31Z qu1j0t3: so i don't know if you got my messages...
2016-11-30T05:38:09Z n_blownapart: hey no pm's ? no sorry using xchat .. hold on please
2016-11-30T05:38:51Z n_blownapart: qu1j0t3, not pm's though right?
2016-11-30T05:39:06Z qu1j0t3: no PMs.
2016-11-30T05:39:16Z qu1j0t3: i mean in the channel.
2016-11-30T05:39:43Z n_blownapart: yes thanks. .. I mentioned its helpful to know about the 2 split operations
2016-11-30T05:40:00Z qu1j0t3: my last line was    qu1j0t3 | 55
2016-11-30T05:41:03Z n_blownapart: the last line I got was "well, it doesn't fail;  ...
2016-11-30T05:41:32Z qu1j0t3:  #;1> (quotient 55 89)
2016-11-30T05:41:34Z qu1j0t3:  0
2016-11-30T05:41:36Z qu1j0t3:  #;2> (remainder 55 89)
2016-11-30T05:41:38Z qu1j0t3:  55
2016-11-30T05:41:53Z n_blownapart: yes that is cool. I see
2016-11-30T05:42:16Z n_blownapart: one moment
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2016-11-30T05:45:39Z n_blownapart: thanks, so qu1j0t3   on the paste in the notes a math irc member said " Fibonacci numbers are the smallest in the class of numbers that take N steps in Euclids algorithm."  ...
2016-11-30T05:46:51Z qu1j0t3: what are you trying to do
2016-11-30T05:47:04Z n_blownapart: so I guess that (gcd 55 89) are actually the smallest 2-digit numbers with the highest number of operations: 10
2016-11-30T05:47:53Z n_blownapart: its a higher bound, I believe. what I'm trying to do is take this problem a step further .. let me explain :
2016-11-30T05:49:12Z n_blownapart: by using substitution to write a linear combination where divisor = na + bm , with all integers
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2016-11-30T05:50:10Z n_blownapart: perhaps you'd be interested in looking at another paste ..
2016-11-30T05:54:10Z qu1j0t3: sure
2016-11-30T05:56:08Z rszeno: 89 is prime
2016-11-30T05:57:10Z n_blownapart: yes, its very cool. two fib numbers in sequence always have a prime, so 1 is always the gcd  .. trying to tie it all together.  one sec
2016-11-30T05:57:29Z qu1j0t3: n_blownapart: yeah i figured something like that must pertain
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2016-11-30T06:01:38Z n_blownapart: so now , on to the number theory
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2016-11-30T06:11:29Z n_blownapart: qu1j0t3, rszeno if you care to look, I had some help with this, trying to get a different perspective on the original problems : https://www.refheap.com/124031
2016-11-30T06:13:12Z n_blownapart: my math tutor asked me to write a program for this ^
2016-11-30T06:17:54Z rszeno: to compute the divisor?
2016-11-30T06:19:15Z n_blownapart: btw I made an incorrect statement above, not all pairs of fib numbers in sequence contain a prime number (fib 21 34) , but 1 is still the gcd of this pair
2016-11-30T06:19:49Z n_blownapart: rszeno, um, well ..
2016-11-30T06:20:27Z n_blownapart: he wanted me to write a proof I think. he's not a paid tutor, he's a busy mathematician helping me out.
2016-11-30T06:21:24Z n_blownapart: but I guess you can express this linear combination as an algorithm.. that's what he said
2016-11-30T06:21:48Z n_blownapart: qu1j0t3, ^
2016-11-30T06:22:55Z rszeno: decomposition in primes, canonical normal form, and take common factors
2016-11-30T06:24:07Z n_blownapart: rszeno, trying to take that in.. of course I'm in over my head again
2016-11-30T06:24:58Z rszeno: i supose before gcd is a need of a factor form
2016-11-30T06:25:43Z rszeno: factor 55 = 5*11
2016-11-30T06:26:01Z n_blownapart: got that
2016-11-30T06:27:27Z n_blownapart: so the part where there is (1)(a) + (-1)(b) = d   .. do you have a good handle on that rszeno ?
2016-11-30T06:28:10Z rszeno: since between 5*11 and 89 is nothing common gcd will be 5*11*89
2016-11-30T06:29:13Z rszeno: i have no idea of a connection between n*a + m*b and this
2016-11-30T06:31:34Z n_blownapart: ok thanks rszeno , I think n and m are the variable places for the substitutions.  so 5*11*89 is the only factor, or the identity 1
2016-11-30T06:31:54Z n_blownapart: 4895 ^
2016-11-30T06:32:44Z rszeno: yes, usualy is 1 but is the trivial answer
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2016-11-30T06:43:44Z n_blownapart: thanks all.
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2016-11-30T14:24:22Z ecraven: justinethier: no problems, things ran fine, just forgot guile 2.2, doing that now, then I'll publish
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2016-11-30T14:44:09Z justinethier: ecraven: awesome, thank you :)
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2016-11-30T16:42:09Z ecraven: justinethier: done :) https://ecraven.github.io/r7rs-benchmarks/benchmark.html
2016-11-30T16:42:21Z ecraven: I need to invest some time and show the actual error messages for the failing runs :-/
2016-11-30T16:44:01Z justinethier: did something happen to vicare? looks like all the tests failed
2016-11-30T16:44:22Z justinethier: and racket
2016-11-30T16:44:53Z ecraven: ah, racket is probably my fault, when I update racket, I need to install the r7rs stuff
2016-11-30T16:44:55Z ecraven: vicare I'll look into
2016-11-30T16:45:11Z justinethier: hmm... for error messages. you post a CSV file, maybe you could post the raw result files?
2016-11-30T16:45:17Z justinethier: ok
2016-11-30T16:45:36Z ecraven: I don't really capture the error messages per run so far, I need to change the scripts to actually do that
2016-11-30T16:47:35Z justinethier: ok
2016-11-30T16:47:55Z ecraven: vicare is missing libreadline.so.6 (must have been updated), but current vicare doesn't seem to compile :-/
2016-11-30T16:48:33Z justinethier: whoa - ypsilon equal - 0.01 seconds
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2016-11-30T16:50:21Z ecraven: that might be a fluke
2016-11-30T16:50:29Z ecraven: I might not detect a crash correctly
2016-11-30T16:50:58Z justinethier: ah, ok
2016-11-30T16:51:15Z ecraven: though it doesn't show any error messages or so in the log file, seems to be fine :)
2016-11-30T16:51:30Z ecraven: you can look at the run logs in the results... files
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2016-11-30T16:56:24Z justinethier: ah, cool
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2016-11-30T16:58:01Z ecraven: hm.. tinyscheme seems to now work at all, I'll need to look into that too
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2016-11-30T17:01:16Z justinethier: for what it's worth, tinyscheme never worked in the previous runs either
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2016-11-30T17:43:52Z DeeEff[m]: justinethier: thanks for looking over the tests on SRFI-113
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2016-11-30T22:48:37Z ecraven: foof`: is there a way to find the chibi version from inside chibi? if not, would it be terribly hard to add something? http://srfi.schemers.org/srfi-112/srfi-112.html or so?
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2016-11-30T22:59:06Z jcowan: ecraven: Not perfect, but you could look in $PREFIX/include/chibi/install.h if you can hard-code the value of $PREFIX
2016-11-30T23:05:21Z ecraven: Jcowan: if I find some time I might try a PR later with something :/
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