Rule:LogicWorld

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@RULE LogicWorld

  1. Mark Jeronimus's LogicWorld - Logic gates and wires that can be energized, as well as 1-cell crossovers.
  2. Version 1.2 (v20180531.2025) Cleaned up version of an experiment I found from 2010, with new antialiased icons.

@TABLE n_states: 25 neighborhood: Moore symmetries: reflect_horizontal

var Void = 0 var Wire = 1 var Head = 2 var Tail = 3 var GPAT = 4 # Gates. Notation: "G[N][T][L]" var GPAH = 5 # N = Gate inverted output: P/N for Positive/Negative var GPOT = 6 # T = Gate type: A/O/X for And/Or/Xo var GPOH = 7 # L = Current output level: T/H for Tail/Head var GPXT = 8 # e.g. GNAH = Gate Negative And (i.e. Nand) currently outputting Head var GPXH = 9 var GNAT = 10 var GNAH = 11 var GNOT = 12 var GNOH = 13 var GNXT = 14 var GNXH = 15 var CrWW = 16 # Notation: "Cr[x][y]" var CrHW = 17 # X = acts as this state horizontally: W/H/T for Wire/Head/Tail var CrTW = 18 # Y = acts as this state vertically: W/H/T for Wire/Head/Tail var CrWH = 19 var CrHH = 20 var CrTH = 21 var CrWT = 22 var CrHT = 23 var CrTT = 24

  1. Any

var Any1 = {Void, Wire, Head, Tail, CrWW, CrHW, CrTW, CrWH, CrHH, CrTH, CrWT, CrHT, CrTT, GPAT, GPAH, GPOT, GPOH, GPXT, GPXH, GNAT, GNAH, GNOT, GNOH, GNXT, GNXH} var Any2 = Any1 var Any3 = Any1 var Any4 = Any1 var Any5 = Any1 var Any6 = Any1 var Any7 = Any1 var Any8 = Any1

  1. Tail-ish

var Ta_1 = {Tail, CrWT, CrHT, CrTT, GPAT, GPOT, GPXT, GNAT, GNOT, GNXT} var Ta_2 = {Tail} var Ta_3 = {Tail, CrTW, CrTH, CrTT, GPAT, GPOT, GPXT, GNAT, GNOT, GNXT} var Ta_4 = Ta_2 var Ta_5 = Ta_1 var Ta_6 = Ta_2 var Ta_7 = Ta_3 var Ta_8 = Ta_2

  1. Head-ish

var He_1 = {Head, CrWH, CrHH, CrTH, GPAH, GPOH, GPXH, GNAH, GNOH, GNXH} var He_2 = {Head} var He_3 = {Head, CrHW, CrHH, CrHT, GPAH, GPOH, GPXH, GNAH, GNOH, GNXH} var He_4 = He_2 var He_5 = He_1 var He_6 = He_2 var He_7 = He_3 var He_8 = He_2

  1. Not head-ish

var NH_1 = {Void, Wire, Tail, CrWW, CrHW, CrTW, CrWT, CrHT, CrTT} var NH_2 = {Void, Wire, Tail, CrWW, CrHW, CrTW, CrWH, CrHH, CrTH, CrWT, CrHT, CrTT, GPAT, GPAH, GPOT, GPOH, GPXT, GPXH, GNAT, GNAH, GNOT, GNOH, GNXT, GNXH} var NH_5 = NH_1 var NH_4 = NH_2 var NH_6 = NH_2 var NH_7 = {Void, Wire, Tail, CrWW, CrWH, CrTW, CrWT, CrTH, CrTT} var NH_8 = NH_2

  1. Any Crossover

var Cr_1 = {CrWW, CrHW, CrWH, CrHH, CrTW, CrWT, CrHT, CrTH, CrTT} var Cr_3 = Cr_1 var Cr_5 = Cr_1

  1. Wire-ish Crossover

var CrW_ = {CrWW, CrWH, CrWT} var Cr_W = {CrWW, CrHW, CrTW}


                                1. Normal signal propagation (part 1/2) ################
  2. These are the orthogonal parts of the normal signal propagation.
  3. For compatibility with the crossovers in the Moore neighborhood,
  4. this part must be handled before the 'precaution' rules, but the
  5. diagonal parts of the normal signal propagation must be handled
  6. after the crossover logic.

Wire He_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 Head Wire Any1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 Head Wire Any1 Any2 Any3 Any4 He_5 Any6 Any7 Any8 Head

Head Ta_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 Tail Head Any1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 Tail Head Any1 Any2 Any3 Any4 Ta_5 Any6 Any7 Any8 Tail

                                      1. Crossover in Moore precautions ###################
  2. Because this rule operates in the Moore neighborhood, two wires
  3. entering a crossover at right angles would normally be diagonally
  4. 'connected' to each other. These rules prevent that.
  1. Allow diagonal propagation if the Crossover is on the opposite side.
  2. ? C ?
  3. ? W ?
  4. ? ? H <- SE Head propagates because S and E are not a Crossover.

Wire Cr_1 Any2 Any3 He_4 Any5 Any6 Any7 Any8 Head Wire Any1 Any2 Cr_3 Any4 Any5 He_6 Any7 Any8 Head Wire Any1 Any2 Cr_3 Any4 Any5 Any6 Any7 He_8 Head Wire Any1 He_2 Any3 Any4 Cr_5 Any6 Any7 Any8 Head

Head Cr_1 Any2 Any3 Ta_4 Any5 Any6 Any7 Any8 Tail Head Any1 Any2 Cr_3 Any4 Any5 Ta_6 Any7 Any8 Tail Head Any1 Any2 Cr_3 Any4 Any5 Any6 Any7 Ta_8 Tail Head Any1 Ta_2 Any3 Any4 Cr_5 Any6 Any7 Any8 Tail

  1. Prevent Wire next to Crossover from reacting to diagonal Head

Wire Cr_1 He_2 Any3 Any4 NH_5 Any6 Any7 Any8 Wire Wire Any1 He_2 Cr_3 Any4 Any5 Any6 NH_7 Any8 Wire Wire Any1 Any2 Cr_3 He_4 Any5 Any6 NH_7 Any8 Wire Wire NH_1 Any2 Any3 He_4 Cr_5 Any6 Any7 Any8 Wire

  1. Prevent Head next to Crossover from reacting to diagonal Tail

Head Cr_1 Ta_2 Any3 Any4 Any5 Any6 Any7 Any8 Head Head Any1 Ta_2 Cr_3 Any4 Any5 Any6 Any7 Any8 Head Head Any1 Any2 Cr_3 Ta_4 Any5 Any6 Any7 Any8 Head Head Any1 Any2 Any3 Ta_4 Cr_5 Any6 Any7 Any8 Head

                                1. Normal signal propagation (part 2/2) ################

Wire Any1 He_2 Any3 Any4 Any5 Any6 Any7 Any8 Head Wire Any1 Any2 Any3 He_4 Any5 Any6 Any7 Any8 Head

Head Any1 Ta_2 Any3 Any4 Any5 Any6 Any7 Any8 Tail Head Any1 Any2 Any3 Ta_4 Any5 Any6 Any7 Any8 Tail

Tail Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 Wire # Tail decays

                                              1. Crossover transitions ########################
  2. Rules are equal to those of a 3x1 piece of wire
  3. - Wire-ish becomes Head-ish when next to Head-ish,
  4. - Head-ish becomes Tail-ish when next to Tail-ish,
  5. - Tail-ish becomes Wire-ish always.
  6. Except these rules are applied separately and asynchronously for
  7. horizontal and vertical directions.

CrWW He_1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 CrHH CrWW Any1 Any2 He_3 Any4 He_5 Any6 Any7 Any8 CrHH CrWW Any1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 CrHW CrWW He_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWH CrWW Any1 Any2 Any3 Any4 He_5 Any6 Any7 Any8 CrWH CrHW He_1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 CrTH CrHW Any1 Any2 Ta_3 Any4 He_5 Any6 Any7 Any8 CrTH CrHW Any1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 CrTW CrHW He_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrHH CrHW Any1 Any2 Any3 Any4 He_5 Any6 Any7 Any8 CrHH CrTW He_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWH CrTW Any1 Any2 Any3 Any4 He_5 Any6 Any7 Any8 CrWH CrTW Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWW CrWH Ta_1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 CrHT CrWH Any1 Any2 He_3 Any4 Ta_5 Any6 Any7 Any8 CrHT CrWH Ta_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWT CrWH Any1 Any2 Any3 Any4 Ta_5 Any6 Any7 Any8 CrWT CrWH Any1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 CrHH CrHH Ta_1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 CrTT CrHH Any1 Any2 Ta_3 Any4 Ta_5 Any6 Any7 Any8 CrTT CrHH Ta_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrHT CrHH Any1 Any2 Any3 Any4 Ta_5 Any6 Any7 Any8 CrHT CrHH Any1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 CrTH CrTH Ta_1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWT CrTH Any1 Any2 Any3 Any4 Ta_5 Any6 Any7 Any8 CrWT CrTH Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWH CrWT Any1 Any2 He_3 Any4 Any5 Any6 Any7 Any8 CrHW CrWT Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWW CrHT Any1 Any2 Ta_3 Any4 Any5 Any6 Any7 Any8 CrTW CrHT Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrHW CrTT Any1 Any2 Any3 Any4 Any5 Any6 Any7 Any8 CrWW

                                                    1. Gate transitions ##########################
  2. These rules determine when a gate will output low (acting Tail-ish)
  3. or high (Acting Head-ish)
  1. And-gate will output high when two diagonal neighbors are Head

GPAT Any1 He_2 Any3 He_4 Any5 Any6 Any7 Any8 GPAH GPAT Any1 Any2 Any3 He_4 Any5 He_6 Any7 Any8 GPAH GPAT Any1 He_2 Any3 Any4 Any5 Any6 Any7 He_8 GPAH

  1. And-gate will output low when no or one diagonal neighbors are Tail

GPAH Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GPAT GPAH Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GPAT GPAH Any1 NH_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GPAT

  1. Or-gate will output high when one diagonal neighbor is Head

GPOT Any1 He_2 Any3 Any4 Any5 Any6 Any7 Any8 GPOH GPOT Any1 Any2 Any3 Any4 Any5 He_6 Any7 Any8 GPOH

  1. Or-gate will output low when no diagonal neighbors are Head

GPOH Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GPOT

  1. Xor-gate will output high when one diagonal neighbor is Head

GPXT Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GPXH GPXT Any1 NH_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GPXH

  1. Xor-gate will output low when no or two diagonal neighbors are Head

GPXH Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GPXT GPXH Any1 He_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GPXT GPXH Any1 NH_2 Any3 He_4 Any5 He_6 Any7 NH_8 GPXT GPXH Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 He_8 GPXT

  1. Nand-gate will output high when no or one diagonal neighbor is Head

GNAT Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GNAH GNAT Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GNAH GNAT Any1 NH_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GNAH

  1. Nand-gate will output low when two diagonal neighbors are Head

GNAH Any1 He_2 Any3 He_4 Any5 Any6 Any7 Any8 GNAT GNAH Any1 Any2 Any3 He_4 Any5 He_6 Any7 Any8 GNAT GNAH Any1 He_2 Any3 Any4 Any5 Any6 Any7 He_8 GNAT

  1. Nor-gate will output high when no diagonal neighbors are Head

GNOT Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GNOH

  1. Nor-gate will output low when one diagonal neighbor is Head

GNOH Any1 He_2 Any3 Any4 Any5 Any6 Any7 Any8 GNOT GNOH Any1 Any2 Any3 Any4 Any5 He_6 Any7 Any8 GNOT

  1. Nxor-gate will output high when no or two diagonal neighbors are Head

GNXT Any1 NH_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GNXH GNXT Any1 He_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GNXH GNXT Any1 NH_2 Any3 He_4 Any5 He_6 Any7 NH_8 GNXH GNXT Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 He_8 GNXH

  1. Nxor-gate will output low when one diagonal neighbors are Head

GNXH Any1 He_2 Any3 NH_4 Any5 NH_6 Any7 NH_8 GNXT GNXH Any1 NH_2 Any3 He_4 Any5 NH_6 Any7 NH_8 GNXT


@COLORS 0 0 0 0 BACKGROUND 1 128 80 40 WIRE 2 255 255 255 SIGNAL 3 144 128 112 Tail 4 161 35 35 GPAT 5 255 56 56 GPAH 6 0 141 0 GPOT 7 0 224 0 GPOH 8 50 50 161 GPXT 9 80 80 255 GPXH 10 0 146 146 GNAT 11 0 232 232 GNAH 12 161 30 161 GNOT 13 255 48 255 GNOH 14 137 137 0 GNXT 15 218 218 0 GNXH 16 128 80 40 CrWW 17 205 186 170 CrHW 18 137 109 83 CrTW 19 205 186 170 CrWH 20 255 255 255 CrHH 21 211 205 198 CrTH 22 137 109 83 CrWT 23 211 205 198 CrHT 24 144 128 112 CrTT

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