asciilifeform: it has 'level 9000' incaization potential tho. hence the interest in the 2 major inca camps.

asciilifeform: if only 1 of a,b is shiftable (i.e. even) that's an unshared factor of 2, and preserves gcd if removed.

asciilifeform: mircea_popescu: you can shift; so long as you increment counter when you've shifted ~both~ a and b buffers , cuz that's an actual shared power of 2 factor. ( it's what happens in stein )

asciilifeform: mircea_popescu: i woke up at night with the following wtf : you can actually make ~any~ gcdtron converge in same steps as stein's, cuz any time the buffer is even, you can shift it right (unshared factor of 2); and then when you add (or subtract) these odds, you get another even ( and can do it again ) etc.

asciilifeform: ( not nearly as sisyphian work as may seem, 1 good hunt removes infestation for 2-3 month )

asciilifeform: 5 no , 2 yes

asciilifeform: i can picture, for instance, that some folx will have a pubkey where 'well, first you gotta decrypt via these 2 rsa keys, and depending on the low 4 bits of the plaintext, the rest is via 1 of these 4 c-s' or the like.

asciilifeform: http://btcbase.org/log/2019-01-06#1884935 << i actually considered to have 'if low bit is 0 - i.e. N is even -- then montgomery, otherwise barrett' but what this does is break constanttimeism of modexp -- nao you broadcast the parity of N for whole planet, cuz entirely diff execution profiles for the 2 algos. and montgomery is at the very most a 10% revvup over barrett. ☝︎

asciilifeform: gcd(x, primorial) gotta use same instructions when x = 0, 1, ... as when it equals 2^ffawidth - 1 .

asciilifeform: ( and then shifting out the 2^k )

asciilifeform: i suspect that it's possible to cure it by adding 2^k-multiples of the small Q instead of Q itself, tho

asciilifeform: diana_coman: btw it is perfectly ok also to simply invoke the knobs exported in ffa.ads directly, but then you gotta take care of 1) endianism of the words being put in and gotten out , to match yours 2) testing for div0 , as done in http://www.loper-os.org/pub/ffa/hypertext/ch14/ffa_calc__adb.htm

asciilifeform: i'd expect that it would cost 1 or 2 diana_coman-days to glue ch14 ffa to euloratron, to see how performs using diana_coman's existing m-r etc.

asciilifeform: diana_coman: my current understanding is that in fact it's ~2.5x faster per bit of exponent length.

asciilifeform: also recall the (surprising to asciilifeform , but apparently nobody else) discovery that ffatron as-is-stands is ~2.5x faster than koch.

asciilifeform: that's item 2.

asciilifeform: what remains is 1) prime-baking 2) rsa (and similar cryptosystems, tho c-s dun need it) padtron -- requires constant-spacetime keccak 3) optional asmistic speedups.

asciilifeform: mircea_popescu: if you have a concrete application in mind, i can spare an hour or 2 to bake

asciilifeform: euclid's subtractor in 2^B, and therefore runs in geological time for bignums

asciilifeform: there are apparently 2 jacks in the back of the thing, for extra buttons (pedals?)

asciilifeform: stratum: so enlighten me, what's the logic -- you can't afford to plug in 2 boxes , but want to tell self stories at bedtime re 'secure anyway' ?

asciilifeform trimmed iron stash down to 2 'alphas', 1 runs barbaric 'tru64' (for that bolix emulator), 1 nao set up for 'ffa on arch that aint x64 or arm' tests laters

asciilifeform: diana_coman: where this appears, it is a concession to 1) speed 2) brevity of code . where the indexing of the array is known, because it is a local buffer, it is referred to explicitly; invocations X'First, X'Last, etc cost measurable cpu, it turned out. but where indexing is not known ( e.g. if operand may be part of a karatsuba ) , there it is unavoidably X'First etc.

asciilifeform: http://btcbase.org/log/2019-01-02#1883990 << fwiw i dun distinguish the 2 kabikus, both -- snoar from asciilifeform's pov ☝︎

asciilifeform: i thought it was a www '2.0' thingie

asciilifeform: but sure, paste. it'll be 2-3x-fold dog-slow vs proper inlinetronic tho.

asciilifeform: ( hence the somewhat pedantic treatment of the subj, 2 separate proofolade articles. was going for 'measure 7777 times, cut 1ce' there. )

asciilifeform: i'd watch 1 or 2.

asciilifeform: ( for instance, expose 2 overlapping films using spinthariscope. separate the films, and on each end extract pad bits via programmable lcd diffraction grate, where each grate pattern is determined by output of prev. )

asciilifeform: you wouldn't give stradivari to glue to some fella who maybe glued chair leg or 2 some time last yr.

asciilifeform: http://www.loper-os.org/pub/bolix/bolix_chinesium_macro_test_2.jpg << ditto.

asciilifeform just in this month burned 2+ wks on fucking formattingism

asciilifeform considered to write a proggy to generate'em, but then thought better, 'would then have ~2~ problems'

asciilifeform: these'll come in 2 variants (and for a selection of bitnesses) , 'uniform' and 'slid'; the former has 3 entirely FGistic args per modexp, and the latter also has'em shifted by random bitness (to give leading 0s, while excluding the prohibited div0 of 'mod 0' ) .

asciilifeform: cattle dun revolt, and castrated cattle dun even stampede. during obummer reign, police pushed, what, 10mil ameri-sads out of 'their' houses, which left to rot; and at cost of what, 1, 2 dead sheriffs ?

asciilifeform: ( certainly not the 2 ~billion~ intel crapola put for tlb cache so that microshit can be slightly less molasses )

asciilifeform: ( imho it is not given to have 2 mircea_popescu's, the gods dun have enuff juice to plug'em in 2 at a time )

asciilifeform: for the benefit of uninvested l0gz readers, i will summarize what i know. there are 2 basic schools of bolixology.

asciilifeform: last yr. bought -- 2. nao makes for 3.

asciilifeform: phf: and wasn't 'week ago', but year + 3mo ago, when i took delivery of the 2 raw ivories. ☟︎

asciilifeform: ries, later published books full of garbage (this was in the 30's and 40's). The rest of the world was uncertain what had been proven and what not. He gave a keynote speech at the first Int Congress after the war in 1950, but his mistakes were becoming clearer and clearer. It took the efforts of 2 great men, Zariski and Weil, to clean up the mess in the 40's and 50's although dredging this morass for its correct results continues occ

asciilifeform: mircea_popescu: http://btcbase.org/log/2018-12-18#1881556 << there may be a way to use the floor(2^k / M) ~quotient~ to determine the E . but i'ma leave this alone until end of series, it won't make a superlinear diff in the runtime ☝︎

asciilifeform: http://btcbase.org/log/2018-12-15#1880896 << i figure 100metre of 1/d^2 oughta suffice ☝︎

asciilifeform: in exactly same way that 'no reported thefts of gold from ft.knox' can mean 1 of 2 things.

asciilifeform: http://btcbase.org/log/2018-12-14#1880808 << on 2nd thought, 'no reported breaches' could mean 1 of 2 things ! ☝︎

asciilifeform: mircea_popescu: from my reading, diana_coman will have same proggy on 2 boxen, but routine-a runs on box a, and routine-b on b

asciilifeform: ( item can be made as mircea_popescu described, either from 2 fifos or 1 priorityqueue. but the latter is actually much moar complicated, in re moving parts, than the former )

asciilifeform: so then 2 queues lol

asciilifeform: mircea_popescu: if you have 2 sockets, can even use orig variant of udptron.

asciilifeform: ( witness, 2 yrs of FG and no 'chinese copy' )

asciilifeform: the board has 1 component side ( and 2 track sides, 0 sandwich, 1980s recall ) , the item of interest is the track side obscured by the components ( all through-holes ) .

asciilifeform: meanwhile, in other tardations, re http://btcbase.org/log/2018-12-11#1879893 >> the radiographers all seem to want 2-3k. which is lulzy, cuz for half of that one can simply buy the machine.. ☝︎☟︎

asciilifeform: so tryin' to stick as close as can be to plain ascii, as seen in e.g. http://www.loper-os.org/?p=2753#selection-1213.75-1299.2

asciilifeform: they have not 1 but ~2~ working alphabets. and repeatedly tried to phase out hieros, most recently under mcarthur

asciilifeform: witness, for instance, FG schems published for 2 yrs (!) as of , what, last week, still no known copies