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Turing Machine Simulator

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Turing Machine Simulator

Here is a fully functional one sided Turing machine simulator in CGOL. To run it place the turing.py script in golly scripts folder. Then copy the turing rule to clipboard, and run the script.

Turing rule example:
`1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 110 0 1 0 r 1 0 0 1 l 1 1 0 1 l 0 1 1 0 r `

Turing rule syntax:

<First line: input tape>
<Second line: input tape start location>

Then there should be all possible combinations of state/head (in some order). So if you have 5 head states, and 5 tape states, you should have 25 lines of the turing rule, as follows:

<tape> <head> <new tape> <new head> <l/r>

Space is always the delimiter. The states are running numbers from 0..N-1

Notice the starting head state is always 0.

Here is the result for the example (one should look at the top left corner for the tape being read and write, and on the bottom right for the logic being analyzed by Turing LUT):

`x = 4086, y = 5012, rule = 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4.A.A.A17.A7.A.A2439.A3.A.A\$433.A.A2.2A16.2A7.2A2440.A3.A.A\$433.A.A.A2.A.A34.A2430.A3.A.A.2A\$434.2A.2A2.2A32.3A2421.2A5.A.4A2.A.2A\$474.A2424.A6.2A3.A.A\$474.2A2424.3A6.A.A.2A.2A\$2902.A3.3A.A3.A.A\$435.2A2469.A2.A4.A.A10.2A\$436.A2470.2A6.A11.2A\$436.A.A\$437.2A11\$451.2A\$432.2A17.2A\$433.A\$430.3A\$430.A298\$1934.2A\$1927.2A5.2A\$1927.2A3\$1929.2A17.2A5.A\$1929.2A17.A6.3A\$1923.2A21.A.A9.A\$1923.2A21.2A9.2A\$1972.2A\$1972.A\$1969.2A.A\$1968.A2.A\$1969.2A\$1954.2A\$1954.2A4\$1941.2A3.A\$1920.A20.A3.A.A\$1920.3A19.A3.A.A\$1923.A19.A3.A.A.2A\$1922.2A17.A.4A2.A.2A\$1940.A.A3.A.A\$1940.A.A2.A2.2A.2A\$1941.A3.2A2.A.A\$1949.A.A10.2A\$1950.A11.2A5\$1942.2A\$1942.2A9\$1927.2A\$1927.2A56\$2034.2A\$2027.2A5.2A\$2027.2A3\$2029.2A17.2A5.A\$2029.2A17.A6.3A\$2023.2A21.A.A9.A\$2023.2A21.2A9.2A\$2072.2A\$2072.A\$2069.2A.A\$2068.A2.A\$2069.2A\$2054.2A\$2054.2A4\$2041.2A3.A\$2020.A20.A3.A.A\$2020.3A19.A3.A.A\$2023.A19.A3.A.A.2A\$2022.2A17.A.4A2.A.2A\$2040.A.A3.A.A\$2040.A.A2.A2.2A.2A\$2041.A3.2A2.A.A\$2049.A.A10.2A\$2050.A11.2A5\$2042.2A\$2042.2A9\$2027.2A\$2027.2A136\$2054.2A\$2047.2A5.2A\$2047.2A3\$2049.2A17.2A5.A\$2049.2A17.A6.3A\$2043.2A21.A.A9.A\$2043.2A21.2A9.2A\$2092.2A\$2092.A\$2089.2A.A\$2088.A2.A\$2089.2A\$2074.2A\$2074.2A4\$2061.2A3.A\$2040.A20.A3.A.A\$2040.3A19.A3.A.A\$2043.A19.A3.A.A.2A\$2042.2A17.A.4A2.A.2A\$2060.A.A3.A.A\$2060.A.A2.A2.2A.2A\$2061.A3.2A2.A.A\$2069.A.A10.2A\$2070.A11.2A5\$2062.2A\$2062.2A9\$2047.2A\$2047.2A56\$2154.2A\$2147.2A5.2A\$2147.2A3\$2149.2A17.2A5.A\$2149.2A17.A6.3A\$2143.2A21.A.A9.A\$2143.2A21.2A9.2A\$2192.2A\$2192.A\$2189.2A.A\$2188.A2.A\$2189.2A\$2174.2A\$2174.2A4\$2161.2A3.A\$2140.A20.A3.A.A\$2140.3A19.A3.A.A\$2143.A19.A3.A.A.2A\$2142.2A17.A.4A2.A.2A\$2160.A.A3.A.A\$2160.A.A2.A2.2A.2A\$2161.A3.2A2.A.A\$2169.A.A10.2A\$2170.A11.2A5\$2162.2A\$2162.2A9\$2147.2A\$2147.2A!`

For completeness I post the script here as well:

`import golly as g reg = g.parse("54bo\$52b3o\$51bo\$50bobo\$50bobo\$51bo4\$85b2o\$35b2o48bobo\$35b2o50bo4b2o\$83b4ob2o2bo2bo\$83bo2bobobobob2o\$86bobobobo\$55b2o30b2obobo\$55bobo33bo\$57bo\$48b2o7b2o18b2o\$48b2o28bo7b2o\$78bobo5b2o\$38bob2o37b2o\$36b3ob2o\$35bo\$36b3ob2o\$38b2o2bo\$41bobo\$38b3obobo16bo\$37bo2bo2bo15b3o27b2o\$36bobobo17bo30bo\$35bobo2b2o16b2o30b3o\$35bobobo2bobo47bo\$36b2ob2o2b2o2\$94b2o\$94b2o\$37b2o43b2o\$38bo44bo20bo\$38bobo42bobo17bobo\$39b2o43b2o17bobo\$104bo3\$112b2o\$112bo\$113b3o\$115bo4\$53b2o\$53b2o\$100b2o\$100bo\$101b3o\$103bo5\$109bo\$9bo97b3o\$9b3o94bo\$12bo77b2o14b2o\$11b2o77b2o2\$85b2o\$3b2o76bo3b2o\$3bo76bobo\$2obo75bobo\$o2b3o4b2o67bo\$b2o3bo3b2o66b2o\$3b4o\$3bo15b2o\$4b3o12bobo87b2o\$7bo13bo82b2o2bo2bo\$2b5o14b2o66b2o13bobo2b2o\$2bo85bobo16b2o\$4bo83bo19bo\$3b2o82b2o16bo2bob2o\$104bobob2obo\$105bobo\$106bo2b2o\$107b2ob3o\$113bo\$107b2ob3o\$107b2obo2\$99b2o\$90b2o7b2o\$91bo\$91bobo\$92b2o4\$112b2o\$112b2o5\$77bo19bo\$77b3o16bobo\$80bo15bobo\$67b2o10b2o16bo\$68bo25b3o\$68bobo19b2o2bo\$58bo10b2o19bo\$56b3o29bobo\$55bo32b2o\$55b2o\$40b2o\$41bo\$41bob2o43b2o\$42bo2bo42bobo\$43b2o45bo\$58b2o24b2o4b2o\$58b2o24bobo\$86bo\$86b2o2\$67bo3b2o\$66bobo3bo\$65bobo3bo\$61b2obobo3bo\$61b2obo2b4obo\$65bobo3bobo\$61b2ob2o2bo2bobo\$62bobo2b2o3bo\$50b2o10bobo\$50b2o11bo!")dup = g.parse("7b2o56bo\$7b2o56b3o\$68bo\$67bobo\$67bobo\$68bo5\$22b2o59b2o\$22b2o59b2o4\$63b2o\$30bo11b2o18bobo\$29bobo10b2o18bo\$21bo3b2o2bobo29b2o7b2o\$20bobo2bo2b2ob2o37b2o\$20bobo3bobo\$2b2o17bob4o2bob2o45b2obo\$3bo19bo3bobob2o45b2ob3o\$3o19bo3bobo55bo\$o20bo3bobo50b2ob3o\$21b2o3bo50bo2b2o\$76bobo\$58bo16bobob3o\$58b3o15bo2bo2bo\$34b2o25bo17bobobo\$34b2o24b2o16b2o2bobo\$49b2o24bobo2bobobo\$48bo2bo23b2o2b2ob2o\$49b2obo\$52bo\$52b2o\$3b2o21b2o9b2o42b2o\$3b2o21bobo9bo42bo\$9b2o17bo6b3o41bobo\$9b2o17b2o5bo43b2o3\$7b2o\$7b2o5b2o\$14b2o6\$65b2o\$65b2o!", 125, 12)dup_eater = g.parse("7b2o56bo\$7b2o56b3o\$68bo\$67bobo\$67bobo\$68bo5\$22b2o59b2o\$22b2o59b2o4\$63b2o\$30bo11b2o18bobo\$29bobo10b2o18bo\$21bo3b2o2bobo29b2o7b2o\$20bobo2bo2b2ob2o37b2o\$20bobo3bobo\$2b2o17bob4o2bob2o45b2obo\$3bo19bo3bobob2o45b2ob3o\$3o19bo3bobo55bo\$o20bo3bobo50b2ob3o\$21b2o3bo50bo2b2o\$76bobo\$58bo16bobob3o\$58b3o15bo2bo2bo\$34b2o25bo17bobobo\$34b2o24b2o16b2o2bobo\$49b2o24bobo2bobobo\$48bo2bo23b2o2b2ob2o\$49b2obo\$52bo\$52b2o\$3b2o21b2o9b2o42b2o\$3b2o21bobo9bo42bo\$9b2o17bo6b3o41bobo\$9b2o17b2o5bo43b2o3\$7b2o\$7b2o5b2o\$14b2o6\$65b2o\$65b2o12\$96b2o\$96bo\$97b3o\$99bo!", 125, 12)gld1 = g.parse("bo\$2bo\$3o!", 170, 1)res_dup = g.parse("27b2o\$28bo\$28bobo\$14b2o13b2o\$14b2o3\$8b2o40b2o\$8b2o40b2o\$12b2o\$12b2o4\$7b2o\$7b2o5\$31b2o\$26b2o2bo2bo\$26bobo2b2o7b2o\$29b2o9b2o\$30bo\$27bo2bob2o\$14b2o10bobob2obo\$15bo11bobo\$12b3o13bo2b2o\$12bo16b2ob3o\$35bo\$29b2ob3o\$29b2obo2\$21b2o\$12b2o7b2o\$13bo\$13bobo\$14b2o4\$34b2o\$34b2o5\$19bo\$18bobo\$18bobo\$19bo\$16b3o\$16bo5\$23b2o\$23bo\$21bobo\$21b2o10bo\$33b3o\$36bo\$35b2o\$2o48b2o\$2o48bo\$47b2obo\$46bo2bo\$47b2o\$32b2o\$32b2o4\$19b2o3bo\$19bo3bobo\$20bo3bobo\$21bo3bobob2o\$12b2o5bob4o2bob2o\$12bo6b2o3bobo\$13b3o6bobob2ob2o\$15bo3b3obo3bobo\$19bo2bo4bobo10b2o\$20b2o6bo11b2o!", -58, 90)res_ref = g.parse("10b2o11bo\$10b2o10bobo\$22bobo2b2o3bo\$21b2ob2o2bo2bobo\$25bobo3bobo\$21b2obo2b4obo\$21b2obobo3bo\$25bobo3bo\$26bobo3bo\$27bo3b2o2\$46b2o\$46bo\$18b2o24bobo\$18b2o24b2o4b2o\$3b2o45bo\$2bo2bo42bobo\$bob2o43b2o\$bo\$2o\$15b2o\$15bo32b2o\$16b3o29bobo\$18bo10b2o19bo\$28bobo19b2o\$28bo\$27b2o10b2o\$40bo\$37b3o\$37bo!", 98, -50)res_snark = g.parse("27b2o\$27bo\$25bobo\$25b2o\$21bo\$20bobo\$20bobo\$21bo2\$33b2o\$33bo\$31bobo\$31b2o3\$10b2o\$11bo\$11bobo\$12b2o3\$25b2obo\$25b2ob3o\$31bo\$25b2ob3o\$26bobo\$26bobo\$27bo\$3b2o\$2bo2bo2b2o\$3b2o2bobo13b2o\$5b2o16bobo\$5bo19bo\$2b2obo2bo16b2o\$2bob2obobo\$6bobo\$3b2o2bo\$b3ob2o\$o\$b3ob2o\$3bob2o2\$13b2o\$13b2o7b2o\$22bo\$20bobo\$20b2o4\$2o\$2o5\$16bo\$15bobo\$15bobo\$16bo\$17b3o\$19bo!", -50, 16)snark_head1 = g.parse("3b2o\$4bo\$2bo\$2b5o14b2o\$7bo13bo\$4b3o12bobo\$3bo15b2o\$3b4o\$b2o3bo3b2o\$o2b3o4b2o\$2obo\$3bo\$3b2o3\$11b2o\$12bo\$9b3o\$9bo!")snark_head2 = g.parse("9b2o\$9bobo\$11bo4b2o\$7b4ob2o2bo2bo\$7bo2bobobobob2o\$10bobobobo\$11b2obobo\$15bo2\$b2o\$2bo7b2o\$2bobo5b2o\$3b2o7\$13b2o\$13bo\$14b3o\$16bo!")const_arr_delay = g.parse("6\$51bo11b2o86bo11b2o\$50bobo10b2o85bobo10b2o\$42bo3b2o2bobo89bo3b2o2bobo\$41bobo2bo2b2ob2o87bobo2bo2b2ob2o\$41bobo3bobo91bobo3bobo\$28bo9bo3bob4o2bob2o88bob4o2bob2o\$28b3o5b3o5bo3bobob2o73b2o15bo3bobob2o\$31bo3bo7bo3bobo77bo15bo3bobo\$30b2o3b2o5bo3bobo75b2obo14bo3bobo\$42b2o3bo77bobobo12b2o3bo\$125bo2b2o2b2o\$17b2o81bo22b3o6b2o\$17b2o79b3o21bo\$55b2o40bo24b2o31b2o\$55b2o40b2o56b2o\$70b2o98b2o\$69bo2bo96bo2bo\$70b2obo96b2obo\$73bo99bo\$73b2o17b2o79b2o\$58b2o31bo2bo63b2o\$59bo31bo2bo64bo\$56b3o33b2o62b3o\$44b2o10bo87b2o10bo\$24bo6b2o11bobo97bobo\$22b3o6b2o13bo99bo\$3bobobobo11bo24b2o98b2o\$2bob2ob2obo10b2o\$2bo3bo3bo127b2o\$3b2obo3b2o126bo\$5bo133b3o\$5bobo124b2o7bo\$6b2o92b2o24b2o4b2o\$99bobo24bobo\$97b3obobo24bo\$96bo5b2o24b2o\$96b2o!", -220, 160)const_SL_delay_bottom = g.parse("9\$267b2o\$268bo7b2o\$268bobo5b2o\$269b2o4\$263b2o\$263b2o17b2o\$282b2o3\$284b2o\$284bobo\$286bo\$286b2o3\$291b2o\$286b2o2bo2bo\$286bobo2b2o\$271b2o16b2o\$272bo17bo\$269b3o15bo2bob2o\$269bo16bobob2obo\$287bobo\$288bo2b2o\$289b2ob3o\$295bo\$289b2ob3o\$289b2obo2\$281b2o\$272b2o7b2o\$273bo\$273bobo\$274b2o4\$294b2o\$294b2o5\$279bo\$278bobo\$278bobo\$279bo\$276b3o\$276bo91\$78b2o\$78bo\$80bo\$60b2o14b5o\$61bo13bo\$61bobo12b3o\$62b2o15bo\$76b4o\$71b2o3bo3b2o\$71b2o4b3o2bo\$79bob2o\$79bo\$78b2o3\$70b2o\$70bo\$71b3o\$73bo21\$23b2o\$24bo\$22bo\$22b5o14b2o\$27bo13bo\$24b3o12bobo\$23bo15b2o\$23b4o\$21b2o3bo3b2o18b2o\$20bo2b3o4b2o18bo\$20b2obo27bo\$23bo22b2o2b2o\$23b2o21bobo\$48bob4o\$47b2obo2bo\$31b2o\$32bo\$29b3o\$29bo\$60b2o\$38b2o20bo\$39bo18bobo\$39bobo16b2o10bo\$40b2o28b3o\$73bo\$72b2o\$87b2o\$87bo\$84b2obo\$83bo2bo\$84b2o\$69b2o\$69b2o4\$56b2o3bo\$56bo3bobo\$57bo3bobo\$58bo3bobob2o\$49b2o5bob4o2bob2o\$49bo5bobo3bobo\$50b3o2bobo2bo2b2ob2o\$52bo3bo3b2o2bobo\$64bobo10b2o\$65bo11b2o!", -620, 170)const_SL_creator_top_snark = g.parse("\$5b2o\$6bo\$4bo\$4b5o14b2o\$9bo13bo\$6b3o12bobo\$5bo15b2o\$5b4o\$3b2o3bo3b2o\$2bo2b3o4b2o\$2b2obo\$5bo\$5b2o3\$13b2o\$14bo\$11b3o\$11bo!", -60, 9)const_bottom_SL = g.parse("34\$614bo\$612b3o\$611bo\$611b2o3\$595b2o14b2o\$596bo14bobo\$596bobo13bo\$597b2o3\$538bo\$536b3o\$535bo\$535b2o2\$587bo\$585b3o\$569bo14bo\$569b3o12b2o\$572bo\$571b2o\$615bo\$614bobo\$470b2o11bo88b2o41b2o\$470b2o10bobo87b2o\$482bobo2b2o3bo\$481b2ob2o2bo2bobo\$485bobo3bobo\$481b2obo2b4obo99b2o\$481b2obobo3bo101b2o\$485bobo3bo\$486bobo3bo\$487bo3b2o72b2o37b2o\$506bo57bo2bo2b2o33bo\$504b3o58b2o2bobo30b3o\$503bo63b2o16b2o15bo\$478b2o23b2o62bo17bo\$478b2o84b2obo2bo15b3o\$463b2o99bob2obobo16bo\$462bo2bo102bobo\$461bob2o100b2o2bo\$461bo101b3ob2o\$460b2o100bo\$475b2o38b2o46b3ob2o\$475bo38bo2bo47bob2o\$476b3o36b2o\$478bo11b2o83b2o\$491bo83b2o7b2o\$488b3o6bob2o17b2o64bo\$488bo6b3ob2o17bo63bobo\$494bo24b3o60b2o\$495b3ob2o20bo\$497bobo\$497bobo203b2o\$498bo10b2o51b2o139bobo\$509bo52b2o141bo\$510b3o186b2o3bob2o\$512bo187bo3bo3bo\$688b2o10bob2ob2obo\$663b2o24bo11bobobobo\$578bo85bo13b2o6b3o\$577bobo84bobo11b2o6bo\$577bobo74bo10b2o\$578bo73b3o\$579b3o69bo\$581bo69b2o\$636b2o\$637bo\$637bob2o\$638bo2bo\$639b2o\$654b2o\$654b2o\$692b2o\$692b2o2\$663bo3b2o\$662bobo3bo5b2o3b2o\$661bobo3bo7bo3bo\$657b2obobo3bo5b3o5b3o\$657b2obo2b4obo3bo9bo\$375b2o11bo272bobo3bobo\$375b2o10bobo267b2ob2o2bo2bobo\$387bobo2b2o3bo260bobo2b2o3bo\$386b2ob2o2bo2bobo247b2o10bobo\$390bobo3bobo247b2o11bo\$386b2obo2b4obo\$386b2obobo3bo\$390bobo3bo\$391bobo3bo\$392bo3b2o86bo11bo\$411bo72b3o7b3o\$409b3o75bo5bo\$408bo77b2o5b2o\$383b2o23b2o\$383b2o\$368b2o\$367bo2bo\$366bob2o\$366bo272b2o\$365b2o272bo\$380b2o38b2o56b2o20b2o135bobo\$380bo38bo2bo55b2o20b2o118b2o15b2o\$381b3o36b2o199bo\$383bo11b2o224bobo17bo\$396bo225b2o15b3o\$393b3o6bob2o17b2o213bo\$393bo6b3ob2o17bo190b2o22b2o\$399bo24b3o188bo\$400b3ob2o20bo188bobo\$402bobo67b2o131bo10b2o\$402bobo66bo2bo2b2o124b3o\$403bo10b2o56b2o2bobo123bo36b2o\$414bo59b2o16b2o108b2o35bobo\$415b3o56bo17bo94b2o52bo\$417bo53b2obo2bo15b3o92bo52b2o\$471bob2obobo16bo92bob2o\$475bobo111bo2bo\$472b2o2bo113b2o\$470b3ob2o129b2o\$469bo135b2o\$470b3ob2o\$472bob2o152b2o\$628b2o2b2o\$482b2o130bo3b2o12bobo\$482b2o7b2o120bobo3bo14bo\$491bo120bobo3bo15b2o\$489bobo116b2obobo3bo\$489b2o117b2obo2b4obo\$612bobo3bobo\$608b2ob2o2bo2bobo\$609bobo2b2o3bo\$469b2o126b2o10bobo\$469b2o126b2o11bo5\$485bo\$484bobo\$484bobo\$485bo\$486b3o\$488bo7\$610b2o\$610bobo\$612bo\$606b2o3bob2o\$607bo3bo3bo\$595b2o10bob2ob2obo\$570b2o24bo11bobobobo\$571bo13b2o6b3o\$571bobo11b2o6bo\$561bo10b2o\$559b3o\$558bo\$558b2o\$543b2o\$544bo\$544bob2o\$545bo2bo\$546b2o\$561b2o\$561b2o\$599b2o\$599b2o2\$570bo3b2o\$569bobo3bo5b2o3b2o\$568bobo3bo7bo3bo\$243b2o11bo307b2obobo3bo5b3o5b3o\$243b2o10bobo112b2o192b2obo2b4obo3bo9bo\$255bobo2b2o3bo104bo197bobo3bobo\$254b2ob2o2bo2bobo101bobo193b2ob2o2bo2bobo\$258bobo3bobo101b2o195bobo2b2o3bo\$254b2obo2b4obo282b2o3b2o10bobo\$254b2obobo3bo284bo4b2o11bo\$258bobo3bo285bo\$259bobo3bo264b2o14b5o\$260bo3b2o108bo153bo2bo13bo\$279bo70bo21b3o153b2obobo12b3o\$277b3o70b3o18bo158bob2o15bo\$276bo76bo17b2o157bo15b4o\$251b2o23b2o74b2o174b3o10b2o3bo3b2o\$251b2o274bo13b2o4b3o2bo\$236b2o289b2o20bob2o\$235bo2bo310bo\$234bob2o310b2o\$234bo116b2o\$233b2o115bobo\$248b2o38b2o60bo189b2o\$248bo38bo2bo58b2o189bo\$249b3o36b2o227b2o22b3o\$251bo11b2o251bobo5b2o17bo\$264bo80b2o169bo7b2o\$261b3o6bob2o17b2o51bo2bo2b2o163b2o\$261bo6b3ob2o17bo53b2o2bobo\$267bo24b3o52b2o16b2o162bo\$268b3ob2o20bo52bo17bo159b2obobo\$270bobo71b2obo2bo15b3o155bobobobo\$270bobo71bob2obobo16bo152bo2bobobobob2o\$271bo10b2o64bobo170b4ob2o2bo2bo\$282bo62b2o2bo175bo4b2o\$283b3o57b3ob2o174bobo\$285bo56bo180b2o\$343b3ob2o\$345bob2o2\$355b2o\$355b2o7b2o\$364bo\$362bobo\$362b2o4\$342b2o\$342b2o5\$358bo\$357bobo\$357bobo\$358bo\$359b3o\$361bo9\$259bo\$257b3o\$256bo\$256b2o3\$240b2o14b2o\$241bo14bobo\$241bobo13bo\$242b2o8\$232bo\$230b3o\$214bo14bo178b2o\$214b3o12b2o177b2o\$119b2o11bo84bo\$119b2o10bobo82b2o\$131bobo2b2o3bo118bo\$130b2ob2o2bo2bobo116bobo157b2o\$134bobo3bobo74b2o41b2o132b2o23bo88b2o\$130b2obo2b4obo75b2o176bo21bobo88bobo\$130b2obobo3bo255bobo19b2o91bo\$134bobo3bo244bo10b2o106b2o3bob2o\$135bobo3bo241b3o119bo3bo3bo\$136bo3b2o95b2o143bo110b2o10bob2ob2obo\$155bo81b2o143b2o84b2o24bo11bobobobo\$153b3o211b2o100bo13b2o6b3o\$152bo215bo48b2o50bobo11b2o6bo\$127b2o23b2o56b2o37b2o117bob2o45bobo39bo10b2o\$127b2o80bo2bo2b2o33bo118bo2bo46bo37b3o\$112b2o96b2o2bobo30b3o120b2o47b2o35bo\$111bo2bo97b2o16b2o15bo137b2o69b2o\$110bob2o98bo17bo154b2o54b2o\$110bo98b2obo2bo15b3o208bo\$109b2o98bob2obobo16bo208bob2o\$124b2o38b2o47bobo192b2o33bo2bo\$124bo38bo2bo43b2o2bo179bo3b2o8b2o34b2o\$125b3o36b2o42b3ob2o179bobo3bo59b2o\$127bo11b2o66bo184bobo3bo60b2o\$140bo67b3ob2o174b2obobo3bo99b2o\$137b3o6bob2o17b2o41bob2o174b2obo2b4obo97b2o\$137bo6b3ob2o17bo224bobo3bobo\$143bo24b3o49b2o166b2ob2o2bo2bobo67bo3b2o\$144b3ob2o20bo49b2o7b2o158bobo2b2o3bo67bobo3bo5b2o3b2o\$146bobo80bo147b2o10bobo74bobo3bo7bo3bo\$146bobo78bobo147b2o11bo71b2obobo3bo5b3o5b3o\$147bo10b2o67b2o233b2obo2b4obo3bo9bo\$158bo307bobo3bobo\$159b3o300b2ob2o2bo2bobo\$161bo301bobo2b2o3bo\$207b2o242b2o10bobo\$207b2o242b2o11bo5\$223bo\$222bobo\$222bobo\$223bo\$224b3o\$226bo31\$89bo\$89b3o\$92bo185b2o\$91b2o185b2o3\$91b2o14b2o\$90bobo14bo181b2o\$91bo13bobo156b2o23bo\$105b2o158bo21bobo\$265bobo19b2o\$255bo10b2o\$253b3o\$252bo\$252b2o\$237b2o\$238bo48b2o\$116bo121bob2o45bobo\$116b3o120bo2bo46bo\$119bo14bo105b2o47b2o\$118b2o12b3o120b2o\$26b2o103bo123b2o\$27bo103b2o\$25bo62bo\$25b5o14b2o41bobo188b2o135b2o\$30bo13bo42b2o41b2o132bo3b2o8b2o135bobo\$27b3o12bobo85b2o131bobo3bo147bo\$26bo15b2o218bobo3bo142b2o3bob2o\$26b4o228b2obobo3bo144bo3bo3bo\$24b2o3bo3b2o223b2obo2b4obo130b2o10bob2ob2obo\$23bo2b3o4b2o75b2o150bobo3bobo104b2o24bo11bobobobo\$23b2obo83b2o146b2ob2o2bo2bobo105bo13b2o6b3o\$26bo232bobo2b2o3bo106bobo11b2o6bo\$26b2o219b2o10bobo104bo10b2o\$98b2o37b2o108b2o11bo103b3o\$98bo33b2o2bo2bo223bo\$34b2o63b3o30bobo2b2o224b2o\$35bo65bo15b2o16b2o211b2o\$32b3o83bo17bo212bo\$32bo82b3o15bo2bob2o209bob2o\$115bo16bobob2obo210bo2bo\$133bobo215b2o\$134bo2b2o227b2o\$135b2ob3o225b2o\$141bo262b2o\$135b2ob3o263b2o\$135b2obo\$375bo3b2o\$65bo61b2o245bobo3bo5b2o3b2o\$65b3o50b2o7b2o244bobo3bo7bo3bo\$68bo50bo249b2obobo3bo5b3o5b3o\$67b2o50bobo247b2obo2b4obo3bo9bo\$120b2o251bobo3bobo\$369b2ob2o2bo2bobo\$370bobo2b2o3bo\$358b2o10bobo\$140b2o216b2o11bo\$140b2o\$77b2o\$70b2o5bobo\$70b2o7bo\$79b2o\$125bo\$66bo57bobo\$65bobob2o53bobo\$65bobobobo53bo\$62b2obobobobo2bo47b3o\$62bo2bo2b2ob4o47bo\$64b2o4bo\$70bobo\$71b2o!", -1020, -360)const_operation_unit = 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25b2o\$114b2o\$79b2o48b2o\$79b2o48bo\$126b2obo\$125bo2bo\$126b2o\$111b2o\$111b2o\$82bo\$80b3o\$79bo\$78bobo17b2o3bo\$78bobo17bo3bobo\$79bo19bo3bobo\$100bo3bobob2o\$91b2o5bob4o2bob2o\$91bo6b2o3bobo\$92b3o6bobob2ob2o\$63b2o29bo3b3obo3bobo\$63b2o33bo2bo4bobo10b2o\$99b2o6bo11b2o3\$83b2o\$83bobo\$85bo8bo\$76b2o7b2o7b3o\$76b2o19bo\$96b2o\$66bob2o\$64b3ob2o\$63bo\$64b3ob2o\$66b2o2bo\$69bobo\$66b3obobo16bo\$65bo2bo2bo15b3o4b2o\$64bobobo17bo7bobo\$63bobo2b2o16b2o7b2o\$63bobobo2bobo34bo\$64b2ob2o2b2o32b3o\$104bo\$104b2o2\$65b2o\$66bo\$66bobo\$67b2o7\$42b2o\$42bo\$40bobo\$40b2o10bo\$52b3o26b2o\$55bo25b2o\$54b2o\$19b2o48b2o\$19b2o48bo\$66b2obo\$65bo2bo\$66b2o\$51b2o\$51b2o\$22bo\$20b3o\$19bo\$18bobo17b2o3bo\$18bobo17bo3bobo\$19bo19bo3bobo\$40bo3bobob2o\$31b2o5bob4o2bob2o\$31bo6b2o3bobo\$32b3o6bobob2ob2o\$3b2o29bo3b3obo3bobo\$3b2o33bo2bo4bobo10b2o\$39b2o6bo11b2o3\$23b2o\$23bobo\$25bo8bo\$16b2o7b2o7b3o\$16b2o19bo\$36b2o\$6bob2o\$4b3ob2o\$3bo\$4b3ob2o\$6b2o2bo\$9bobo\$6b3obobo16bo\$5bo2bo2bo15b3o4b2o\$4bobobo17bo7bobo\$3bobo2b2o16b2o7b2o\$3bobobo2bobo34bo\$4b2ob2o2b2o32b3o\$44bo\$44b2o2\$5b2o\$6bo\$6bobo\$7b2o11\$21b2o\$2b2o17b2o\$3bo\$3o\$o!", -2523, -535)ini_glider = g.parse("bo\$2bo\$3o!", -2222, 682)movable_SL_creator_top = g.parse("10\$218b2o\$217bobo\$211b2o4bo\$209bo2bo2b2ob4o\$209b2obobobobo2bo\$212bobobobo\$212bobob2o\$213bo2\$226b2o\$217b2o7bo\$199bo17b2o5bobo\$199b3o22b2o\$202bo\$201b2o3\$193b2o\$193bo\$148bo11b2o28b2obo20b2o\$147bobo10b2o28bo2b3o4b2o13bo\$139bo3b2o2bobo41b2o3bo3b2o10b3o\$138bobo2bo2b2ob2o42b4o15bo\$138bobo3bobo46bo15b2obo\$125bo9bo3bob4o2bob2o43b3o12bobob2o\$125b3o5b3o5bo3bobob2o46bo13bo2bo\$128bo3bo7bo3bobo45b5o14b2o\$127b2o3b2o5bo3bobo46bo\$139b2o3bo49bo\$193b2o\$114b2o\$114b2o\$152b2o\$152b2o\$167b2o\$166bo2bo\$167b2obo\$170bo\$170b2o\$155b2o\$156bo\$153b3o\$141b2o10bo\$121bo6b2o11bobo\$119b3o6b2o13bo\$100bobobobo11bo24b2o\$99bob2ob2obo10b2o\$99bo3bo3bo\$100b2obo3b2o\$102bo\$102bobo\$103b2o22\$260bo\$260b3o\$263bo\$262bobo\$262bobo\$263bo\$102bo11b2o\$101bobo10b2o\$93bo3b2o2bobo\$84b2o6bobo2bo2b2ob2o\$84b2o6bobo3bobo177b2o\$93bob4o2bob2o173b2o\$95bo3bobob2o\$94bo3bobo\$93bo3bobo\$93b2o3bo159b2o\$257bobo\$257bo62bo\$256b2o7b2o53b3o\$106b2o157b2o56bo\$106b2o214b2o10bo\$121b2o150b2obo56bobo\$120bo2bo149b2ob3o54bobo\$121b2obo154bo31bo20b2ob3o\$74b2o48bo148b2ob3o32b3o24bo\$74b2o48b2o146bo2b2o37bo17b2ob3o6bo\$109b2o160bobo39b2o17b2obo6b3o\$110bo142bo16bobob2obo63bo\$107b3o143b3o15bo2bob2o63b2o11bo\$95b2o10bo148bo17bo41b2o36b3o\$95bobo141bo15b2o16b2o40bo2bo38bo\$97bo139b3o30bobo2b2o39b2o38b2o\$97b2o137bo33b2o2bo2bo93b2o\$236b2o37b2o94bo\$368b2obo\$367bo2bo\$248b2o118b2o\$248b2o103b2o\$328b2o23b2o\$329bo\$326b3o\$268b2o56bo\$225b2o41b2o70b2o3bo\$225bobo112bo3bobo\$226bo114bo3bobo\$269b2o71bo3bobob2o\$269bo70bob4o2bob2o\$256b2o12b3o66bobo3bobo\$257bo14bo66bobo2bo2b2ob2o\$254b3o83bo3b2o2bobo\$254bo93bobo10b2o\$349bo11b2o7\$243b2o\$54bo11b2o161bo13bobo\$53bobo10b2o160bobo14bo\$45bo3b2o2bobo173b2o14b2o\$44bobo2bo2b2ob2o\$44bobo3bobo\$31bo9bo3bob4o2bob2o172b2o\$31b3o5b3o5bo3bobob2o173bo\$34bo3bo7bo3bobo174b3o\$33b2o3b2o5bo3bobo175bo\$45b2o3bo2\$20b2o\$20b2o\$58b2o\$58b2o\$73b2o\$72bo2bo\$73b2obo\$76bo\$76b2o\$61b2o\$62bo\$59b3o\$47b2o10bo\$27bo6b2o11bobo\$25b3o6b2o13bo\$6bobobobo11bo24b2o87bo\$5bob2ob2obo10b2o112b3o\$5bo3bo3bo127bo\$6b2obo3b2o125bobo\$8bo131bobo\$8bobo130bo\$9b2o198bo\$209b3o\$212bo\$211b2o10bo\$156b2o64bobo\$156b2o64bobo\$200bo20b2ob3o\$200b3o24bo\$203bo17b2ob3o6bo\$136b2o64b2o17b2obo6b3o\$135bobo92bo\$135bo94b2o11bo\$134b2o7b2o60b2o36b3o\$143b2o59bo2bo38bo\$205b2o38b2o\$151b2obo105b2o\$151b2ob3o103bo\$157bo99b2obo\$151b2ob3o99bo2bo\$150bo2b2o102b2o\$149bobo90b2o\$131bo16bobob2obo61b2o23b2o\$131b3o15bo2bob2o62bo\$134bo17bo62b3o\$117bo15b2o16b2o62bo\$115b3o30bobo2b2o74b2o3bo\$114bo33b2o2bo2bo73bo3bobo\$114b2o37b2o75bo3bobo\$231bo3bobob2o\$229bob4o2bob2o\$126b2o100bobo3bobo\$126b2o100bobo2bo2b2ob2o\$229bo3b2o2bobo\$237bobo10b2o\$238bo11b2o\$146b2o\$103b2o41b2o\$103bobo\$104bo\$147b2o\$147bo\$134b2o12b3o\$135bo14bo\$132b3o\$132bo52b2o\$186bo\$183b3o\$183bo5\$121b2o\$107bo13bobo\$106bobo14bo\$107b2o14b2o3\$107b2o\$108bo\$105b3o\$105bo!", 770, -1490)movable_SL_creator_top_snarks = g.parse("6\$14b2o\$13bobo\$7b2o4bo\$5bo2bo2b2ob4o\$5b2obobobobo2bo\$8bobobobo\$8bobob2o\$9bo2\$22b2o\$13b2o7bo\$13b2o5bobo\$20b2o7\$10b2o\$11bo\$8b3o\$8bo90\$123b2o\$123bo\$125bo\$105b2o14b5o\$106bo13bo\$106bobo12b3o\$107b2o15bo\$121b4o\$116b2o3bo3b2o\$116b2o4b3o2bo\$124bob2o\$124bo\$123b2o3\$115b2o\$115bo\$116b3o\$118bo!", 1180, -1450)movable_arr_snark_delay = g.parse("\$27bo\$25b3o\$24bo\$24b2o3\$32b2o\$33bo\$33bob2o\$25b2o4b3o2bo\$25b2o3bo3b2o\$30b4o\$16b2o15bo\$15bobo12b3o\$15bo13bo\$14b2o14b5o\$34bo\$32bo\$7bo24b2o\$7b3o\$10bo\$9b2o7\$19b2o\$12b2o5bobo\$12b2o7bo\$21b2o2\$8bo\$7bobob2o\$7bobobobo\$4b2obobobobo2bo\$4bo2bo2b2ob4o\$6b2o4bo\$12bobo\$13b2o!", -110, 210)movable_bottom_splitter = g.parse("4\$8b2o\$9bo\$7bo\$7b5o14b2o\$12bo13bo\$9b3o12bobo\$8bo15b2o\$8b4o\$6b2o3bo3b2o\$5bo2b3o4b2o\$5b2obo\$8bo\$8b2o3\$16b2o\$17bo\$14b3o\$14bo332\$384b2o\$384bo\$382bobo\$382b2o\$378bo\$377bobo\$377bobo\$378bo2\$390b2o\$390bo\$388bobo\$388b2o3\$367b2o\$368bo\$368bobo\$369b2o3\$382b2obo\$382b2ob3o\$388bo\$382b2ob3o\$383bobo\$383bobo\$384bo\$360b2o\$359bo2bo2b2o\$360b2o2bobo13b2o\$362b2o16bobo\$362bo19bo\$359b2obo2bo16b2o\$359bob2obobo\$363bobo\$360b2o2bo\$358b3ob2o\$357bo\$358b3ob2o\$360bob2o2\$370b2o\$370b2o7b2o\$379bo\$377bobo\$377b2o4\$357b2o\$357b2o5\$373bo\$372bobo\$372bobo\$373bo18bo\$374b3o15b3o\$376bo18bo\$394b2o7\$404b2o\$397b2o5bobo\$397b2o7bo\$406b2o2\$393bo\$392bobob2o\$392bobobobo\$389b2obobobobo2bo\$389bo2bo2b2ob4o\$391b2o4bo\$397bobo\$398b2o!", -980, 130)movable_push_pull = g.parse("124bo9bo\$124b3o5b3o\$127bo3bo\$126b2o3b2o\$121bo\$121b3o\$124bo\$123b2o4\$136b2o\$136bobo\$138bo\$138b2o4\$113b2o\$112bo2bo2b2o\$113b2o2bobo\$115b2o16b2o\$115bo17bo\$112b2obo2bo15b3o\$112bob2obobo16bo\$116bobo\$113b2o2bo\$111b3ob2o\$110bo\$111b3ob2o\$113bob2o2\$123b2o\$123b2o7b2o\$132bo\$130bobo\$130b2o4\$110b2o\$110b2o5\$126bo\$125bobo\$125bobo\$126bo\$14bo9bo102b3o\$14b3o5b3o104bo\$17bo3bo\$16b2o3b2o\$11bo\$11b3o\$14bo\$13b2o4\$26b2o\$26bobo\$28bo\$28b2o4\$3b2o\$2bo2bo2b2o\$3b2o2bobo\$5b2o16b2o\$5bo17bo\$2b2obo2bo15b3o\$2bob2obobo16bo\$6bobo\$3b2o2bo\$b3ob2o\$o\$b3ob2o\$3bob2o2\$13b2o\$13b2o7b2o\$22bo\$20bobo\$20b2o4\$2o\$2o5\$16bo\$15bobo\$15bobo\$16bo\$17b3o\$19bo!", -1891, 773)reflect_push_pull = g.parse("7\$17b2o\$10b2o5b2o\$10b2o3\$12b2o17b2o5bo\$12b2o17bo6b3o\$6b2o21bobo9bo\$6b2o21b2o9b2o\$55b2o\$55bo\$52b2obo\$51bo2bo\$52b2o\$37b2o\$37b2o4\$24b2o3bo\$3bo20bo3bobo\$3b3o19bo3bobo\$6bo19bo3bobob2o\$5b2o17bob4o2bob2o\$23bobo3bobo\$23bobo2bo2b2ob2o\$24bo3b2o2bobo\$32bobo10b2o\$33bo11b2o5\$25b2o\$25b2o9\$10b2o\$10b2o!", -660 - 600, 1870 - 600)operation_block = g.parse("2o\$2o!", -1692, -1541)init_gliders = g.parse("22\$100b3o\$100bo\$101bo305\$69b2o\$69bobo\$69bo!", 70, 210)d_reg = 100d_app = 11d_head = 40d_Rule = 80 def place_delay_array(num_states, dist, delta_input_states, delta_output_states):      for i in range(num_states):      d = i * delta_input_states      d1 = i * delta_output_states      g.putcells(const_arr_delay, -dist - d, -dist + d)      g.putcells(movable_arr_snark_delay, -dist - d + d1, -dist + d + d1)         def place_interpreter(num_states, num_head, delta_top_unit, delta_top_delay, delta_bottom, operation_block_dist = 1000, dist = 0, delta_input_states = 80, delta_output_states = d_head):   dist += delta_output_states * num_states   g.show(str(dist))   delta_top_delay += d_head * (num_states - 2) + d_app * (num_head - 2)   #delta_bottom += 20 + d_head * (8 - num_states) - d_app * (8 - num_head)         delta_top_unit += num_states * delta_input_states + num_head * d_app - 357   delta_bottom += num_states * delta_input_states + num_head * d_app         place_delay_array(num_states, dist, delta_input_states, delta_output_states)      g.putcells(const_SL_delay_bottom, -dist, -dist)   g.putcells(const_SL_creator_top_snark, -dist, -dist)   g.putcells(const_SL_creator_top_snark, -dist, -dist)   g.putcells(const_bottom_SL, -dist, -dist)   g.putcells(const_operation_unit, -dist, -dist)   g.putcells(const_push_pull, -dist, -dist)   g.putcells(ini_glider, -dist, -dist)      g.putcells(movable_SL_creator_top, -dist + delta_top_unit, -dist - delta_top_unit)   g.putcells(movable_bottom_splitter, -dist - delta_bottom, -dist + delta_bottom)   g.putcells(movable_SL_creator_top_snarks, -dist + delta_top_unit + delta_top_delay, -dist - delta_top_unit - delta_top_delay)         g.putcells(operation_block, -dist -operation_block_dist, -dist - operation_block_dist)      return distdef place_reg_array(num_regs):   g.putcells(res_snark)      for i in range(num_regs):      d = d_reg * i      g.putcells(reg, d, d)      g.putcells(res_dup, d, d)      def place_SL_rule_array(rule):   for i in range(len(rule)):      d = d_reg * i      g.putcells(res_dup, d - 82 - d_Rule * rule[i], d + 60 + d_Rule * rule[i])            def place_dup_array(num_head, num_tape):      d_init = d_app * num_head   dynamic_d = 0       for j in range(num_tape):      dy = d_head * j            #g.putcells(gld1, d_init + dy, -d_init - dy)            for i in range(num_head):         d = i * d_reg         if i == num_head - 1:            g.putcells(dup_eater, d - d_app * i + d_init + dynamic_d + dy, d + d_app * i - d_init + dynamic_d - dy)         else:            g.putcells(dup, d - d_app * i + d_init + dynamic_d + dy, d + d_app * i - d_init + dynamic_d - dy)                  dynamic_d += num_head * d_reg      dy = d_head * (num_tape - 1)   #g.putcells(gld1, -3000 + d_init + dy, -3000 -d_init - dy)      d_init += d_head * num_tape +  d_head * num_head + d_head   dynamic_d = 0    head_init = d_init      for i in range(num_tape):            for j in range(num_head):         dy = d_head * j               if j == 0:            g.putcells(gld1, d_init + dy, -d_init - dy)               if i == num_tape - 1:            g.putcells(dup_eater,  - d_app * i + d_init + dynamic_d + dy,  d_app * i - d_init + dynamic_d - dy)         else:            g.putcells(dup,  - d_app * i + d_init + dynamic_d + dy,  d_app * i - d_init + dynamic_d - dy)                  dynamic_d += d_reg   d_init += d_head * num_head + d_head + d_app * num_tape * num_head   dynamic_d = 0      #g.putcells(gld1, -75 + d_init, -d_init)   g.putcells(res_ref,  -75 + d_init - 10,-d_init - 10)   for i in range(num_head * num_tape):      if i == num_head * num_tape - 1:         g.putcells(dup_eater, -75 - d_app * i + d_init + dynamic_d, d_app * i - d_init + dynamic_d)      else:         g.putcells(dup, -75 - d_app * i + d_init + dynamic_d, d_app * i - d_init + dynamic_d)            dynamic_d += d_reg      return (d_init, head_init)   def place_state_rule_snarks(dx, head_h, num_head):   for i in range(num_head):      dy = i * d_Rule      d_snark = d_head * i       g.putcells(snark_head1, -dx - dy - d_snark - 80, dx + dy - d_snark + 25)      g.putcells(snark_head2, 2 * d_snark + head_h - num_head * d_head + 56 + 35, - head_h - 40 - 35 - num_head * d_head)      def place_head_rule(dx, rule):   num_regs = len(rule)      for i in range(num_regs):      d = d_reg * i      dy = rule[i] * d_Rule            g.putcells(res_dup, -dx + d - dy - 2 * d_app, dx - 2 * d_app + d + dy)def place_rl_rule(dx, rule):   num_regs = len(rule)      for i in range(num_regs):      d = d_reg * i      dy = rule[i] * d_Rule      g.putcells(reflect_push_pull, -dx + d - dy, dx + d + dy)def init_tape(dist, tape, delta, block_dist, ini_height, num_states):   ini_SL = g.parse("bo\$obo\$b2o!", -block_dist-1503+ini_height-142-40 * (num_states - 3), -block_dist-1724-ini_height+142+40 * (num_states - 3))      d = delta * 9      for i in range(len(tape)):      g.putcells(ini_SL, i * 9 -dist - d + tape[i] * d_head, i * 9 -dist - d - tape[i] * d_head)def parse_turing_rule(rule_str):   lines = rule_str.split("\n")      dx = 50 - int(lines[1])   tape = [0 for i in range(100)]      init_tape = lines[0].split(" ")      for i in range(len(init_tape)):            try:         tape[dx + i] = int(init_tape[i])      except ValueError:         break             del lines[0]   del lines[0]      num_head = 1   num_states = 1   lines.sort()      while len(lines[0].split(" ")) < 5:         del lines[0]         for l in lines:       if len(l.split(" ")) < 5:         continue               state = int(l.split(" ")[0])      head = int(l.split(" ")[1])            if state + 1 > num_states:         num_states = state + 1         if head + 1 > num_head:         num_head = head + 1      if len(lines) < num_head * num_states:      g.exit("missing rule inputs")      rule_head = [0 for i in range(num_states*num_head)]   rule_state = [0 for i in range(num_states*num_head)]   rule_rl  = [0  for i in range(num_states*num_head)]         for i in range(len(lines)):      l = lines[i].split(" ")      rule_state[i] = num_states - 1 -int(l[2])      rule_head[i] =  num_head - 1 -int(l[3])            if "r" in l[4]:         rule_rl[i] = 0      else:         rule_rl[i] = 1         return (num_head, num_states, tape, rule_head, rule_state, rule_rl)g.new("")operation_block_dist = 1000 num_head, num_states, tape, rule_head, rule_state, rule_rl = parse_turing_rule(g.getclipstr())#num_states = 18#num_head = 7#rule_head = [randint(0, num_head - 1) for i in range(num_states*num_head)]#rule_state = [randint(0, num_states - 1) for i in range(num_states*num_head)]#tape = [randint(0, num_states - 1)  for i in range(100)]#rule_rl  = [randint(0, 1)  for i in range(num_states*num_head)]place_reg_array(num_states*num_head)place_SL_rule_array(rule_state)d, head_init = place_dup_array(num_head, num_states)d1 = d_Rule * num_states + 200 if d1 > d:   d = d1push_pull_d = d_Rule * num_head + d_Rule * num_states + d - 750place_head_rule(d, rule_head)place_state_rule_snarks(d, head_init, num_head)place_rl_rule(push_pull_d, rule_rl)dist = place_interpreter(num_states, num_head, 0, 0, 0, operation_block_dist, num_head * 50)g.putcells(movable_push_pull, -dist - push_pull_d, -dist + push_pull_d)   delta = d_app * num_head + d_head * num_statesinit_tape(dist, tape, 50, operation_block_dist, delta, num_states)#g.putcells(init_gliders)#g.putcells(reg)#g.putcells(dup, 30, -30)#g.putcells(dup, -75 + 150, -150)#g.putcells(gld1, -75 + 150, -150)#d = 100#g.putcells(reg, d, d)#g.putcells(dup, d - 11 + 30, d + 11 - 30)#g.putcells(dup, d-75 + 150, d + 22 -150)`

EDIT No Hult operation is introduced, as well as no "don't move" operation only left or right.
Attachments
turing.zip
Last edited by simsim314 on April 5th, 2018, 6:01 pm, edited 1 time in total.

simsim314

Posts: 1637
Joined: February 10th, 2014, 1:27 pm

Re: Turing Machine Simulator

simsim314 wrote:Here is a fully functional one sided Turing machine simulator in CGOL...

Wow, very nice! It's good to see some computer circuitry along the lines of the pi calculator, built with more modern components. This thing is a miracle of miniaturization compared to doing everything with Silver reflectors.

What's the meaning of the escaping glider at around T=62,694,000 in the example pattern?

dvgrn
Moderator

Posts: 5327
Joined: May 17th, 2009, 11:00 pm

Re: Turing Machine Simulator

dvgrn wrote:What's the meaning of the escaping glider at around T=62,694,000 in the example pattern?

My guess is "Memory out of bound exception" of "Segmentation fault". Pick your poison, the program basically flip bits scanning left and right, it will eventually try to read outside the allowed range, whatever the initial input is. (unless you change the program of course.
Jormungant

Posts: 80
Joined: May 27th, 2016, 1:01 am

Re: Turing Machine Simulator

dvgrn wrote:Wow, very nice! It's good to see some computer circuitry along the lines of the pi calculator, built with more modern components. This thing is a miracle of miniaturization compared to doing everything with Silver reflectors.

Thx, I would claim Turing simulator is cool also because it's obviously turing complete. Basically one could program Pi calculator with Turing simulator as well. I was looking for C to Turing compiler, but it seems like this is more theoretical machine rather than actual programming tool.

Anyway this project was long time on my list. I latelly came up with more simplifications to it, so it's elegant in its simplicity. I was long time thinking about coding the LUT with two arrays, one for the Head and another for the Tape.

Few key features in this project:
- The boat height is constructed by delay mechanism.
- The push/pull/shoot operations are coded by circuits.
- The register with reset operation was used for the project, using very useful H->beehive.
- A small script was written to make G->Salvo components.

Jormungant wrote:dvgrn wrote:
What's the meaning of the escaping glider at around T=62,694,000 in the example pattern?
My guess is "Memory out of bound exception" of "Segmentation fault".
dvgrn wrote:What's the meaning of the escaping glider at around T=62,694,000 in the example pattern?

The tape has ended - I'm currently using limited tape of 100 SLs as you can see. Anyway it's one sided turing machine so it has the limit from one side (not every code can run unlike in two sided turing machine).

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Anyway here is another example (I also fixed few bugs in the previous script and updated the original scipt):

`202 0 2 1 r1 0 1 0 l0 0 0 0 l0 1 1 0 l1 1 0 1 r2 1 2 0 l `

And the result is binary adder (still checking the logic is working correctly):

`x = 4216, y = 5394, rule = 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simsim314

Posts: 1637
Joined: February 10th, 2014, 1:27 pm

Re: Turing Machine Simulator

Pretty neat! POTY2018 2nd place candidate (1st place is reserved for Sir Robin, sorry)

Posts: 302
Joined: May 7th, 2016, 8:53 am

Re: Turing Machine Simulator

Probably 4th place for me after Sir Robin, dvgrn's QFT metacell and calcylam's universal glider synthesizer.
Please, stop spam searching Snowflakes.

Majestas32

Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

Re: Turing Machine Simulator

Sir robin is hard to beat I agree - the simulator is different category all together. But wait for the year to pass - many discoveries are still to come. The other projects are still on their way, this one is finished.

For me it's a project I was thinking about, on and off for 2.5 years now - so I'm glad I don't need to come back to it anymore, because it's finished - and I'm satisfied with the result. If the year brings us many more great discoveries - I'm only glad.

simsim314

Posts: 1637
Joined: February 10th, 2014, 1:27 pm

Re: Turing Machine Simulator

Majestas32 wrote:Probably 4th place for me after Sir Robin, dvgrn's QFT metacell and calcylam's universal glider synthesizer.

What Calcyman's universal glider synthesizer!? I'm curious!
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 720
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: Turing Machine Simulator

gameoflifemaniac wrote:
Majestas32 wrote:Probably 4th place for me after Sir Robin, dvgrn's QFT metacell and calcylam's universal glider synthesizer.

What Calcyman's universal glider synthesizer!? I'm curious!

I'm not 100% sure what Majestas is referring to, actually. Maybe Calcyman's gun that fires an infinite variety of spaceships?

77topaz

Posts: 1328
Joined: January 12th, 2018, 9:19 pm

Re: Turing Machine Simulator

77topaz wrote:I'm not 100% sure what Majestas is referring to, actually. Maybe Calcyman's gun that fires an infinite variety of spaceships?

No, this would be the reverse caber tosser idea.

It won't be really done until there's a known glider synthesis for the completed circuitry, so this may or may not be a contender for 2018.

dvgrn
Moderator

Posts: 5327
Joined: May 17th, 2009, 11:00 pm

Re: Turing Machine Simulator

In any case, this is a very nice construction. I think I understand how some component works, and it seems that ...

`x = 151, y = 151, rule = LifeHistory2\$81.A3B\$72.A7.BABA\$70.3A6.2B2A\$69.A8.4B\$68.A.A6.4B\$67.BA.A5.4B\$66.3BA5.4B\$64.4B6.4B\$62.6B5.4B\$61.7B4.4B\$54.B.4B.8B2.4B28.2A\$53.2AB.17B29.A.A\$53.2A18B32.A4.2A\$54.2B.16B28.4A.2A2.A2.A\$57.16B28.A2.A.A.A.A.2A\$58.15B30.BABABA.A\$59.12B.B2A29.B2ABA.A\$59.11B2.BA.A29.2B.BA\$60.10B5.A28.3B31.B\$60.6B2A2B5.2A18.2A6.4B30.AB\$60.6B2A3B25.A6.B2A3B27.BABA\$60.10B26.A.AB3.B2A3B26.2B2A\$56.A.2AB.8B27.2AB.10B23.4B\$54.3AB2AB3.7B28.13B21.4B\$53.A4.B6.6B28.14B19.4B\$54.3A.2A4.6B29.15B17.4B\$56.2A2.A4.5B31.8B2.4B15.4B\$59.A.A.8B30.6B5.4B13.4B\$56.3A.A.A8B8.A20.9B4.4B11.4B\$55.A2.A.BA2B.6B6.3A19.4B4.2A5.4B9.4B\$54.A.A.A2.2B2.7B4.A21.4B5.A7.4B7.4B\$53.A.A2.2A.B3.7B4.2A19.4B7.3A5.4B5.4B\$53.A.A.A2.A.A2.8B.4B18.4B10.A6.4B3.A3B\$54.2A.2A2.2A2.11B19.4B19.4B.BA.A\$65.12B17.4B21.5B2A\$65.12B16.4B15.2A6.5B\$66.11B15.4B15.B2AB2.2B.5B\$55.2A12.9B13.4B5.2A10.3B.10B\$56.A11.10B.2B9.4B7.A11.B2.6BA4B\$56.A.AB4.B.16B7.4B8.A.AB.3B2.10BABA4B\$57.2AB2.23B3.4B10.2AB.15BABA5B\$59.32B13.18BA2B.4B\$58.32B14.20B3.3B\$58.31B15.20B4.4B\$58.30B17.18B7.2A\$58.28B20.B.13B9.A\$57.4B.B5.17B24.11B11.3A\$56.4B11.14B24.9B15.A\$55.4B12.14B23.11B\$54.4B14.2B4.3B26.12B\$53.4B14.2B6.B26.13B\$52.4B14.B2AB31.13B\$51.4B16.2A31.11B.4B\$50.4B49.11B4.2A\$49.4B49.4B.7B4.A\$48.4B49.4B2.6B6.3A\$47.4B49.4B2.7B8.A\$46.4B49.4B2.8B\$45.4B49.4B2.8B\$44.4B49.4B2.9B\$43.4B49.4B2.4B.6B\$42.4B49.4B2.4B.7B14.A\$27.A13.4B49.4B2.4B2.6B13.3A\$27.3A10.4B49.4B2.4B3.8B4.B5.A\$30.A8.4B49.4B2.4B5.B2A6B.4B3.2A\$29.2A7.4B49.4B2.4B5.2B2A16B\$29.5B3.4B49.4B4.2B3.B3.17B\$31.3B2.4B49.4B5.3B.B2A3.17B\$21.2A7.9B49.4B7.A3B2A6.13B\$21.A8.8B49.4B7.A.AB.B6.12B\$18.2A.A.B3.10B49.4B7.A.AB9.10B\$18.A2.3AB.2B2A7B48.4B8.A11.11B\$19.2A2.BA3B2A7B47.4B8.2A11.7B.2B\$21.4A12B46.4B21.11B\$21.A.2B3.7B.B2A43.4B23.11B\$22.3AB2.7B.BA.A41.4B24.11B7.2A\$25.A4.4B5.A40.4B25.11B2.2A2.A2.A\$20.5A5.4B5.2A38.4B24.2AB2.8B2.A.A2.2A\$20.A10.4B43.4B24.A.AB3.7B3.B.2A\$22.A9.4B41.4B25.A6.7B2.2B2.A\$21.2A10.4B39.4B25.2A7.6B.2BAB.A.2A\$34.4B37.4B35.8BA.A.2A.A\$35.4B35.4B36.8B.A.A\$36.4B33.4B38.5B4.A2.2A\$37.4B31.4B39.6B4.2A.3A\$38.4B29.4B39.6B6.B4.A\$39.4B27.4B40.7B3.B2AB3A\$40.4B25.4B42.8B.B2A.A\$41.4B23.4B43.10B\$42.4B21.4B43.3B2A6B\$43.4B19.4B38.2A5.2B2A6B\$44.4B17.4B40.A5.10B\$45.4B15.4B41.A.AB2.11B\$46.4B13.4B43.2AB.12B\$47.4B11.4B46.15B\$48.4B9.4B47.16B\$49.4B7.4B48.16B.2B\$50.4B5.4B49.18B2A\$51.4B3.4B49.17B.B2A\$52.4B.4B49.4B2.8B.4B.B\$53.7B49.4B4.7B\$54.5B49.4B5.6B\$54.5B48.4B6.4B\$53.7B35.A10.4B5.A3B\$52.4B.4B34.3A7.4B5.A.AB\$51.4B3.4B36.A5.4B6.A.A\$50.4B5.4B22.2A10.2A4.4B8.A\$49.4B7.4B22.A10.9B6.3A\$48.4B9.4B21.A.AB9.6B3.2A2.A\$47.4B11.4B10.A10.2AB.3B4.6B4.A\$46.4B13.4B7.3A12.7B.7B.BA.A\$45.4B15.4B5.A15.15B.B2A\$44.4B17.4B4.2A15.16B\$43.4B11.2A6.9B14.18B\$42.4B13.A7.6B14.19B\$41.4B14.A.2A5.6B3.B2.2B2.20B.B2A\$40.4B16.A2.A4.33B4.BA.A\$39.4B18.2AB3.27B.7B6.A\$38.4B20.14B2A16B2.B.2B.B2A4.2A\$37.4B22.13B2A16B7.BA.A\$36.4B24.29B11.A\$35.4B25.17B.B.2B18.2A\$34.4B27.15B4.3B\$33.4B28.15B5.A2B.2A\$32.4B30.13B5.A.A2B.A\$31.4B33.13B2.A.AB2.A\$30.4B33.8B4.2A.A.A3.A\$29.4B34.6B6.2ABA2.4A.A\$28.4B35.5B8.B2.A.A3.A.A\$27.4B36.B.B9.2A.2A2.A2.A.A\$26.4B38.3B9.A.A2.2A3.A\$25.4B38.B2AB9.A.A\$24.4B40.2A11.A\$23.4B\$22.4B\$21.4B!`

... could be simplified by using ...

`x = 114, y = 66, rule = LifeHistory\$108.2B\$107.3B\$106.A3B\$30.4B71.BABA\$29.4B71.2B2A\$28.B.2B71.4B\$27.A2.B71.4B\$12.A13.BA.A71.4B\$12.3A10.2B2A71.4B\$15.A8.3B72.4B\$14.2A7.4B71.4B\$14.5B3.4B71.4B\$16.3B2.4B71.4B\$6.2A7.9B71.4B\$6.A8.8B71.4B\$3.2A.A.B3.10B71.4B\$3.A2.3AB.2B2A7B70.4B\$4.2A2.BA3B2A7B51.BA2B14.4B\$6.4A12B50.3AB4.2A8.4B\$6.A.2B3.7B.B2A40.2A5.A2.B4.B2A3B4.4B\$7.3AB2.7B.BA.A31.2A5.B2A2B3.2A7.2B6.4B\$10.A4.4B5.A32.A6.4B.4B6.2B2.B3.4B\$5.5A5.4B5.2A31.A.AB.9B6.5B.2B.4B\$5.A10.4B38.2AB.9B2.B2.9BA3B\$7.A9.4B39.4B3D18BA.A\$6.2A10.4B38.4BD4B2D14B2A\$19.4B37.4B3D2B2D15B\$20.4B36.25B\$21.4B34.12B.13B\$22.4B33.14B.11B\$23.4B32.26B\$24.4B31.15B2C2B3D4B\$25.4B29.16B2C4BD4B\$26.4B27.4B.16B3D4B\$30.B25.4B2.7B2.B2.9B.B2A\$29.3B23.5B3.5B5.10B.BA.A\$29.4B21.4B6.2B6.4B.4B.B4.A\$30.4B19.4B6.2B6.4B2.2B2A2B4.2A\$31.4B10.A6.4B6.B2AB4.4B5.2A\$32.4B7.3A5.4B8.2A4.4B\$33.4B5.A7.4B14.4B\$34.4B4.2A5.4B14.4B\$35.9B4.4B14.4B\$36.6B5.4B14.4B\$36.8B2.4B14.4B\$34.15B14.4B\$34.14B14.4B\$34.13B14.4B\$32.2AB.10B14.4B\$31.A.AB3.B2A3B15.4B\$31.A6.B2A3B14.4B\$30.2A6.4B15.4B\$39.3B6.2A6.4B\$40.2B.BA4.A5.4B\$39.B2ABA.A.A6.4B\$38.BABABA.A.2A4.4B\$36.A2.A.A.A.A.A4.4B\$36.4A.2A2.A.A3.B.2B\$40.A4.2A6.B\$38.A.A\$38.2A!`
Jormungant

Posts: 80
Joined: May 27th, 2016, 1:01 am

Re: Turing Machine Simulator

Jormungant wrote:... could be simplified by using ...

...which is generalised by the DPDT bistable switch, which has even fewer still-lifes:

`x = 56, y = 56, rule = LifeHistory5.4B17.B\$6.4B15.3B\$7.3BD13.4B7.2A\$8.DBDB11.7B6.A\$9.2D2B8.10B5.A.AB\$10.4B7.10B6.A.AB.B\$11.4B5.12B6.A3B2A\$12.4B3.15B3.3B.B2A11.B\$13.4B2.20B3.B11.2B\$14.4B2.20B13.3B\$B14.4B.20B12.4B\$2B12.26B11.4B\$3B11.25B11.4B\$3BD9.2A25B9.4B\$.DBDB8.2AB.23B8.4B\$2.2D2B8.B3.15B3D5B6.4B\$3.4B12.14BDBD5B5.4B\$4.4B12.13BD2BD4B4.4B\$5.4B10.16B2D4B3.4B\$6.4B9.22B.5B\$7.4B7.5B2.21B\$8.4B5.4B5.21B\$9.4B3.4B7.21B\$10.4B.4B9.21B\$11.7B11.20B\$12.5B13.18B\$12.5B13.16B2A\$11.7B11.17B2A\$10.4B.4B9.19B\$9.4B3.4B7.19B\$8.4B5.4B5.16B\$7.4B7.4B4.8BA6B\$6.4B9.4B4.6BABA5B\$5.4B11.4B3.7B2A6B\$4.4B13.4B.17B\$3.4B15.22B\$2.4B17.22B\$.4B19.22B\$4B20.23B\$3B21.24B\$2B22.19B2.4B\$B23.18B4.4B\$22.2A17B6.4B\$21.A.A18B6.4B\$21.A4.17B6.4B\$20.2A5.17B6.4B\$30.8B3.3B7.4B\$34.4B5.B2A6.4B\$35.4B4.BA.A6.3B\$36.4B6.A7.2B\$37.4B5.2A7.B\$38.4B\$39.4B\$40.4B\$41.4B\$42.4B!`

If the bistable switch is in state A and receives a signal B, it changes to state B and emits an output AB.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 1941
Joined: June 1st, 2009, 4:32 pm

Re: Turing Machine Simulator

Jormungant wrote:In any case, this is a very nice construction.

Thx! It could be basically the brain of many future designs - for turing lovers out there. Anyway for fully converting it to real brain, one needs to add a read/write tape component, and sync it with the machine (one can replace halt by shooting a glider outside the tape).

Jormungant wrote: I think I understand how some component works

Yeah although it a bit messy the components are quite simple, and coming straight from definitions of turing machine (first layer made for adjusting the head state, the second for the new tape state, and the third for the reading head operation movement). If you have some questions I can answer, probably some sort of tutorial is required and better parser to support the human readable turing machine syntax.

calcyman wrote:which is generalised by the DPDT bistable switch, which has even fewer still-lifes:

Yeah this is a cool circuit component, I should probably replace mine by it.

----------

Any other ideas for improvement?

simsim314

Posts: 1637
Joined: February 10th, 2014, 1:27 pm

Re: Turing Machine Simulator

simsim314 wrote:I was looking for C to Turing compiler, but it seems like this is more theoretical machine rather than actual programming tool.

There is a programming language called Laconic, a high-level language which compiles into 4- or 2-state Turing machines, if that helps: https://www.scottaaronson.com/blog/?p=2725

Check the comments on that article and a follow-up (https://www.scottaaronson.com/blog/?p=2741) and you can find some very interesting Laconic programs and Turing machines to experiment with!

thorsilver

Posts: 13
Joined: March 31st, 2018, 9:43 pm
Location: Glasgow, Scotland