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Wireworld Modern

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Wireworld Modern

Postby Freywa » December 27th, 2018, 11:12 pm

This rule was originally introduced on the Discord server as a "modern" rethinking of Wireworld, where separate signals denoting 0 and 1 exist and gates in this new formulation are single cells with the configuration of the input leads determining the type of gate. A state-1 signal (white) represents the bit 1, a state-4 signal (blue) the bit 0.
@NUTSHELL WireworldModern
Wireworld Modern: with separate 1 and 0 signals, and other goodies.
1: {I} 1 head
2: tail
3: wire
4: {O} 0 head
5: {C} converter
6: {CO} converter with 0 head
7: {CI} converter with 1 head
8: converter with tail
@TABLE
symmetries:permute
d=(1,4) # bithead
b=--d # anti-bithead
e=(2,3) # wire but not bithead
c=--(5..8) # anti-converter
# Decay transitions
(d, 2, CO, CI, 8), any; [0: (2*d, 3, 8*d, C)]
# 1-bit propagation
3, d ~ 1, b; [1]
symmetries:rotate4reflect
# 45-degree: NAND
3, N..SW b, W..NW d; [NW: (d - [W], I)]
# 90-degree orth: AND
3, NE..SW b, W d, b, N d; [N: ([W], O)]
# 90-degree diag: OR
3, N..S b, SW d, b, NW d; [NW: (I, [SW])]
# 135-degree: diag input AND NOT orth input
3, N..SE b, S d, SW..W b, NW d; [S: (O, [NW])]
# 180-degree: XOR
3, N d, NE..SE b, S d, SW..NW b; [N: (d - [S], [S])]
3, NW d, N..E b, SE d, S..W b; [NW: (d - [SE], [SE])]
# Wire receiving orth-adjacent converter state
3, N (CI, CO), NE..NW c; [N: d]
# Converter with opposite orth leads only allowing 1 heads to pass
C, I, NE..SE 0, e, SW..NW 0; CI
# Converter with three leads in Y shape turning one bit into 0 head, two into 1 head
C, 0, d, 0, SE (3, d), 0, 0, e, 0; [SE: (CO, CI*d)]
# Converter with four leads in thunderbird shape extracts the output of an orth XOR gate
C, d, 2, 0, 0, e, 0, 0, 2, [N: (CI, CO)]
@COLORS
48 48 48: 0
255 255 255: 1
150 150 150: 2
80 80 80: 3
56 68 209: 4
120 129 33: 5
125 141 131: 6
246 255 159: 7
182 191 95: 8

@RULE WireworldModern
********************************
**** COMPILED FROM NUTSHELL ****
****         v0.5.5         ****
********************************
Wireworld Modern: with separate 1 and 0 signals, and other goodies.
1: 1 head
2: tail
3: wire
4: 0 head
5: converter
6: converter with 0 head
7: converter with 1 head
8: converter with tail

@TABLE
neighborhood: Moore
symmetries: rotate4reflect
n_states: 9

var any.0 = {0,1,2,3,4,5,6,7,8}
var any.1 = any.0
var any.2 = any.0
var any.3 = any.0
var any.4 = any.0
var any.5 = any.0
var any.6 = any.0
var any.7 = any.0
var d.0 = {1,4}
var b.0 = {0,2,3,5,6,7,8}
var b.1 = b.0
var b.2 = b.0
var b.3 = b.0
var b.4 = b.0
var b.5 = b.0
var b.6 = b.0
var e.0 = {2,3}
var c.0 = {0,1,2,3,4}
var c.1 = c.0
var c.2 = c.0
var c.3 = c.0
var c.4 = c.0
var c.5 = c.0
var c.6 = c.0

1, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 2
4, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 2
2, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 3
6, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 8
7, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 8
8, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 5
3, b.0, b.1, b.2, b.3, b.4, b.5, b.6, d.0, d.0
3, b.0, b.1, b.2, b.3, b.4, b.5, d.0, b.6, d.0
3, 1, 1, b.0, b.1, b.2, b.3, b.4, b.5, 4
3, 1, 4, b.0, b.1, b.2, b.3, b.4, b.5, 1
3, 4, 1, b.0, b.1, b.2, b.3, b.4, b.5, 1
3, 4, 4, b.0, b.1, b.2, b.3, b.4, b.5, 1
3, 1, b.0, 1, b.1, b.2, b.3, b.4, b.5, 1
3, 1, b.0, 4, b.1, b.2, b.3, b.4, b.5, 4
3, 1, b.0, 4, b.1, b.2, b.3, b.4, b.5, 4
3, 4, b.0, 4, b.1, b.2, b.3, b.4, b.5, 4
3, b.0, 1, b.1, 1, b.2, b.3, b.4, b.5, 1
3, b.0, 1, b.1, 4, b.2, b.3, b.4, b.5, 1
3, b.0, 1, b.1, b.2, b.3, b.4, b.5, 4, 1
3, b.0, 4, b.1, 4, b.2, b.3, b.4, b.5, 4
3, 1, b.0, b.1, 1, b.2, b.3, b.4, b.5, 4
3, 4, b.0, b.1, 1, b.2, b.3, b.4, b.5, 1
3, 1, b.0, b.1, 4, b.2, b.3, b.4, b.5, 4
3, 4, b.0, b.1, 4, b.2, b.3, b.4, b.5, 4
3, 1, b.0, b.1, b.2, 1, b.3, b.4, b.5, 4
3, 1, b.0, b.1, b.2, 4, b.3, b.4, b.5, 1
3, 1, b.0, b.1, b.2, 4, b.3, b.4, b.5, 1
3, 4, b.0, b.1, b.2, 4, b.3, b.4, b.5, 4
3, b.0, 1, b.1, b.2, b.3, 1, b.4, b.5, 4
3, b.0, 1, b.1, b.2, b.3, 4, b.4, b.5, 1
3, b.0, 1, b.1, b.2, b.3, 4, b.4, b.5, 1
3, b.0, 4, b.1, b.2, b.3, 4, b.4, b.5, 4
3, 7, c.0, c.1, c.2, c.3, c.4, c.5, c.6, 1
3, 6, c.0, c.1, c.2, c.3, c.4, c.5, c.6, 4
5, 0, 0, 1, 0, 0, 0, e.0, 0, 7
5, 0, 0, e.0, 0, 0, d.0, 0, 3, 6
5, 0, 0, e.0, 0, 0, d.0, 0, 1, 7
5, 0, 0, e.0, 0, 0, d.0, 0, 4, 7
5, 0, 0, e.0, 0, 0, 2, 1, 2, 7
5, 0, 0, e.0, 0, 0, 2, 4, 2, 6

@COLORS
0 48 48 48
1 255 255 255
2 150 150 150
3 80 80 80
4 56 68 209
5 120 129 33
6 125 141 131
7 246 255 159
8 182 191 95

Here is a compendium of all the technology that has been built specifically in this rule:
x = 135, y = 72, rule = WireworldModern
55.5B7.C11.5C$23.5B.C9.C27.C13.C$29.C9.C16.3C4.B3.C.2C10.C41.2C4.2C$
18.3C4.B3.C.2C6.C.2C12.C3.C2.B.B2.2C2.C9.C40.C2.C2.C2.C$17.C3.C2.B.B
2.2C2.C5.2C2.C11.C3.C2.B.B2.C3.C9.C40.C2.C2.C2.C$17.C3.C2.B.B2.C3.C5.
C3.C11.C2.2C.B3.B.2C2.C9.C41.BD4.BA$17.C2.2C.B3.B.2C2.C5.2C2.C12.2C.C
.B3.B.C.2C10.C16.D$.A2CBD2CBA2CBDC3.2C.C.B3.B.C.2C6.C.2C35.D18.C.B22.
3B5.B$15.C61.C.BA2CBD2CBD2CBA2CBD.C2.15C5.B3.B3.2B$15.19C5.A2CBD2CBA
2CBDC.18C6.C20.2C20.B3.B4.B$.A2CBA2CBD2CBDC38.C67.B.B.B4.B$29.C23.C
67.B3.B4.B$29.C10.A2CBA2CBD2CBD68.B3.B4.B$18.3C4.B3.C.2C48.5C2.C2.3C
2.C25.3B4.3B$17.C3.C2.B.B2.2C2.C7.3C40.C2.C2.C3.C2.C$17.C3.C2.B.B2.C
3.C6.C3.C22.C16.C2.C2.C6.C$.A2CBD2CBA2CBDC2.C2.2C.B3.B.2C2.C6.C3.C22.
C16.C2.C3.3C3.C$15.C2.2C.C.B3.B.C.2C7.C2.2C11.3C4.B3.C.2C13.C2.C6.C2.
C$14.2C25.2C.C10.C3.C3.B3.2C2.C9.C2.C2.C2.C3.C2.C17.B$A2CBA2CBD2CBDC
2.18C21.C3.C.5B.C3.C10.2C4.C2.3C2.C13.C3.D.C$40.A2CBD2CBA2CBD2.C2.2C
3.B3.2C2.C43.C$29.C23.C2.2C.C3.B3.C.2C8.2CBA2CB3CB3CBA2CBA2CB3CBA2CBA
2CB2.EBD.CB$29.C22.C61.AC3.C2.D$18.3C2.B3.B.C.2C5.A2CBA2CBD2CBDC.19C
39.BA5.C2.C$17.C3.C.B3.B.2C2.C43.2CB3CBA2CBA2CB3CB3CBA2CB3CBA2C2.ECBD
C.BD.4CE8C$17.C3.C2.B.B2.C3.C78.D8.B$17.C2.2C2.B.B2.2C2.C28.5B14.C3.C
2.C.4C2.C11.C2.B.C$18.2C.C3.B3.C.2C48.C2.C2.C2.C3.C2.C14.C$.A2CBD2CBA
2CBDC48.3C15.C.C3.C2.C3.C2.C$15.19C28.C3.C14.2C4.C2.4C3.C$.A2CBA2CBD
2CBDC47.C3.C14.C.C3.C2.C.C4.C$62.C2.2C14.C2.C2.C2.C2.C3.C$63.2C.C14.C
3.C2.C.C3.C.C$52.C$39.4CBD2CBA18C$14.2C$4.2CBD2CBA3C.11C$14.3C2$15.2C
23.A2CBD2CBA2CBDC$4.2CBD2CBA3C.11C27.3C25.C7.C3.C7.C$14.3C21.A2CBA2CB
D2CBDC.C3.C$52.C.C.C24.BDC.BDC.BDC.BDC.BDC.BA.CBDE16C$17.C26.C7.C2.C.
19C4.C3.C3.C3.C3.C3.C2.C$4.4CBD2CBA18C12.C7.C.C26.C7.C3.C7.C.C6.C3.C
3.C3.C$18.C24.3C7.C.21C6.DBC.CBD5.DBC.CBD2.B$42.C.C.C38.C11.C4.D$17.C
20.5C.C.5C35.DB2CD.D2CBD2.B2C$4.4CBD2CBA18C12.C46.B6.D5.C$18.2C24.C
39.D2CBD2C2.CDB2C$83.B8.C$4.2CBDCBDCBA4CBDCBACBAC57.2CDB2CDB$27.E7CE
9C$4.2CBDCBD4CBACBACBACBAC7$71.C3.C3.C3.C$41.C$40.B.C2.C3.C3.C3.C5.CB
D2CB.15CE19C$41.D20.C6.D$42.ECBD2CBD2CBD2CBDC2.D2.C2.B2.B$27.CB3CBA2C
BA2CBC17.C.B.C.BD.C.C$56.C.B2.C.A3.C2.C$25.CB3CBA2CB3CBA2.BD2CBD2CBD
2CBD.C.D2CB2.BD.C.D$40.EC14.C2.C4.C4.B$39.D3.C3.C3.C4.C.D.CBDC$38.B.C
16.B$39.C15.C!

The top-left corner displays the basic gates: 45° = NAND, 90° diagonal = OR, 90° orthogonal = AND, 135° = ANDNOT (the orthogonal input is NOTted), 180° = XOR. Below the OR gate are diodes that preserve bit type (the regular Wireworld diode inverts that type), convert-to-1 and convert-to-0 devices and converters between traditional and "modern" bit representation. The converters require four more states (5 to 8‌); a converter with two leads allows 1 bits and blocks 0 bits (modern to traditional), a converter with three leads turns one signal into a 0 bit and two into a 1 bit (traditional to modern). A converter cell can also allow extracting the output from the 180° orthogonal XOR collision, which is usually not possible (this is not shown directly, but the Nutshell file contains the relevant construction).

The existence of converters allows backwards compatibility with traditional Wireworld. Becuase of how I have ordered the states, all constructions in Wireworld can be switched to Modern and still function perfectly, when states 1 and 4 are considered equivalent. Furthermore, the converters give the possibility of switching to Modern, performing computations in a smaller area, then switching back – all in real time.

The NOT gate and a crossover are shown below the XOR gate, and the other patterns in the stamp collection are higher-level technology: T flip-flop, JK flip-flop, LFSR and serial full adder (which contains an RS flip-flop). All these patterns run at 4-tick rates.
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » December 28th, 2018, 1:51 am

In the quest to build a register bank, a multiplexer and demultiplexer which are closely related (just modify the input/output leads):
x = 86, y = 41, rule = WireworldModern
8.3C$7.C3.C$7.C$8.3C$11.C$7.C3.C$8.3C2$7.6CBA2CBA2CBA2CBA2CBD2CBD2CBD
2CBD.2C.2C$4.C38.C2.C2.C$4.C37.C2.C3.C$4.C.5CBA2CBA2CBD2CBD2CBA2CBA2C
BD2CBDC.2C.C.2C$4.C38.C3.C2.C$4.C38.C2.C2.C$.C42.2C.C.C$C.C44.C2.36C$
C.C.4CBA2CBD2CBA2CBD2CBA2CBD2CBA2CBD9C.2C$C.C$.C3$8.3C$7.C3.C$7.C$8.
3C$11.C$7.C3.C$8.3C2$5.2CBA2CBA2CBD2CBD.2C.2C$21.C2.C2.C32.C$20.C2.C
3.C32.C$19.C.2C.C.2C32.C$3.2CBA2CBD2CBA2CBD2.C3.C2.31C.C$19.C.C2.C35.
C$19.C2.2C.C$18.C6.C35.C$19.6C.33C.C.C$60.C.C$60.C.C$61.C!

Edit: a register being read and written
x = 355, y = 93, rule = WireworldModern
101.C$101.C$80.C.2C2.3C3.3C3.2C.C92.C3.C$80.2C3.C3.C.C3.C.C2.2C92.C.C
.C$49.C2.C27.C4.5C.C3.C.C3.C92.C.C.C$52.C27.C4.C5.C2.2C.C2.2C80.C11.C
.C.C$38.C3.C.C.2C.C.4C2.3C16.C3.C5.3C3.2C.C2.2C.C79.C.D11.C.C$38.C.C.
C.2C3.C2.C3.C3.C14.C.D104.B$38.C.C.C.C4.C2.C3.5C15.B105.D3.D3.D3.D3.D
3.D$38.C.C.C.C4.C2.C3.C7.C9.C.A3.D3.D3.D3.D3.D85.C2.B.C.B.C.B.C.B.C.B
.C$39.C.C2.C4.C3.2C2.3C3.D.C10.C2.B.C.B.C.B.C.B.C.B.C84.C2.C.C.C.C.C.
C.C.C.C.C$64.B11.C2.C.C.C.C.C.C.C.C.C.C85.B.C.B.C.B.C.B.C.B.C.B12.C.C
$44.D3.D3.D3.D3.D3.D12.B.C.B.C.B.C.B.C.B.C.B84.D.D3.D3.D3.D3.D3.D11.C
$43.C.B.C.B.C.B.C.B.C.B2.C11.D.D3.D3.D3.D3.D3.D82.C23.C7.2C.C.C$43.C.
C.C.C.C.C.C.C.C.C2.C10.C23.C80.C.DB2CDB2CDB2CDB2CDB2CDBC7.C2.2C.C$43.
B.C.B.C.B.C.B.C.B.C.B10.C.DB2CDB2CDB2CDB2CDB2CDBC82.B30.C3.C.C$42.D3.
D3.D3.D3.D3.D.D10.B94.C4.2C.BC.D.E28.C2.2C.C$41.C23.C9.D35.4C4.C4.3C
3.3C36.B.C2.B2.D2.C32.2C.C.C$42.CBD2CBD2CBD2CBD2CBD2CBD.C8.C31.C3.C3.
C2.C.C2.C3.C.C3.C35.D.A2.D3.C2.C63.D$65.B9.C32.C2.C3.C.C3.C.C5.C3.C
35.C.B2.CD.C.DB.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2C
DB2CDB2CDB.C$62.C.2D.CB.2C3.B29.5C.4C2.C3.C.C6.4C35.C.C.C2.B3.D64.C$
66.C2.D2.B2.D32.C2.C3.C.5C.C9.C35.B.C2.B2.D2.C2.E$.D63.C2.C3.D2.C31.C
3.C3.C.C3.C.C3.C.C3.C35.A.A2.D.C.BC$C.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBDC.BD.C.DC2.C35.4C2.C3.C2.3C3.3C36.C.B
.C2.C8.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2C$.C65.D2.B2.C.B93.C2.C.AB.C3.C.2C$34.C6.3C2.4C13.C2.C2.D2.B2.D2.BD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C27.B8.D
.C.A.C38.C$34.C5.C3.C.C3.C4.4C.C6.CB.C.D3.2C92.D2CBAC2.B.B.B2.A.E35.C
$34.C5.C5.C3.C3.C5.A9.C2.C3.C98.C.C.A.C2.B34.2C.C2.3C$34.C6.3C2.4C2.
2C5.B.2CBA2CBDC.BA.CBA.CBA2CBD2CBAC79.CDB2CAB3.C2.C.C.AB2CDB2CDB2CDB
2CDB2CDBC10.C2.2C.C3.C$34.C9.C.C3.C7.C31.C77.C13.D2.C23.C9.C3.C.C3.C$
34.C5.C3.C.C3.C8.CDB2CDB2CAB2CDB2CDB2CAB2CAB2CDB79.BD2CBA2CBD2CB4.D.D
3.D3.D3.D3.D3.D10.C2.2C.C3.C$34.5C2.3C2.4C137.B.C.B.C.B.C.B.C.B.C.B
12.2C.C2.3C$186.C2.C.C.C.C.C.C.C.C.C.C$186.C2.B.C.B.C.B.C.B.C.B.C$
186.D3.A3.D3.D3.D3.D$186.B$185.C.D10.C.2C$186.C11.2C$198.C86.C3.C$
198.C86.C.C.C$198.C86.C.C.C32.C.C$285.C.C.C32.C$286.C.C30.2C.C.C$318.
C2.2C.C$287.B30.C3.C.C$276.C4.2C.BC.D.E28.C2.2C.C$275.B.C2.B2.D2.C32.
2C.C.C$275.D.D2.D3.C2.C63.D$275.C.B2.CD.C.DB.CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB.C$275.C.C.C2.B3.D64.C$275.B.
C2.B2.D2.C2.E$275.D.D2.D.C.BC$275.C.B.C2.C8.BD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C$101.C173.C2.C.DB.C3.C.2C$101.
C92.C3.C76.B8.D.C.A.C38.C$80.C.2C2.3C3.3C3.2C.C92.C.C.C77.D2CBDC2.B.B
.B2.A.E35.C$49.C2.C27.2C3.C3.C.C3.C.C2.2C92.C.C.C83.C.C.D.C2.B34.2C.C
2.3C$52.C27.C4.5C.C3.C.C3.C80.C11.C.C.C76.CDB2CDB3.C2.C36.C2.2C.C3.C$
38.C3.C.C.2C.C.4C2.3C16.C3.C4.C5.C2.2C.C2.2C79.C.D11.C.C76.C13.D2.C.
2C30.C3.C.C3.C$38.C.C.C.2C3.C2.C3.C3.C14.C.D2.C5.3C3.2C.C2.2C.C80.B
92.BD2CBD2CBD2CB3.2C32.C2.2C.C3.C$38.C.C.C.C4.C2.C3.5C15.B105.D3.A3.D
3.D3.D3.D88.C34.2C.C2.3C$38.C.C.C.C4.C2.C3.C7.C9.C.D3.D3.D3.D3.D3.D
85.C2.B.C.B.C.B.C.B.C.B.C87.C$39.C.C2.C4.C3.2C2.3C3.D.C10.C2.B.C.B.C.
B.C.B.C.B.C84.C2.C.C.C.C.C.C.C.C.C.C87.C$64.B11.C2.C.C.C.C.C.C.C.C.C.
C85.B.C.B.C.B.C.B.C.B.C.B12.C.C$44.D3.D3.D3.D3.A3.D12.B.C.B.C.B.C.B.C
.B.C.B84.D.D3.D3.D3.D3.D3.D11.C$43.C.B.C.B.C.B.C.B.C.B2.C11.D.D3.D3.D
3.D3.D3.D82.C23.C7.2C.C.C$43.C.C.C.C.C.C.C.C.C.C2.C10.C23.C80.C.AB2CD
B2CDB2CDB2CDB2CDBC7.C2.2C.C$10.4C4.C4.3C3.3C11.B.C.B.C.B.C.B.C.B.C.B
10.C.DB2CDB2CDB2CDB2CDB2CDBC82.B30.C3.C.C$6.C3.C3.C2.C.C2.C3.C.C3.C9.
D3.D3.D3.D3.D3.D.D10.B94.C4.2C.BC.A.E28.C2.2C.C$7.C2.C3.C.C3.C.C5.C3.
C8.C23.C9.D93.B.C2.B2.D2.C32.2C.C.C$4.5C.4C2.C3.C.C6.4C9.CBD2CBD2CBD
2CBD2CBD2CBA.C8.C93.D.D2.D3.C2.C63.D$7.C2.C3.C.5C.C9.C32.B9.C93.C.B2.
CD.C.DB.CAB2CDB2CDB2CAB2CDB2CDB2CAB2CAB2CDB2CAB2CDB2CAB2CAB2CAB2CDB2C
AB.C$6.C3.C3.C.C3.C.C3.C.C3.C29.C.2A.CB.2C3.B93.C.C.C2.B3.D64.C$10.4C
2.C3.C2.3C3.3C34.C2.D2.B2.D93.B.C2.B2.D2.C2.E$.D63.C2.C3.D2.C93.D.D2.
D.C.BC$C.BA2CBD2CBA2CBA2CBA2CBD2CBA2CBD2CBA2CBA2CBD2CBD2CBA2CBD2CBD2C
BAC.BD.C.DC2.C93.C.B.C2.C8.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2C$.C65.D2.B2.C.B93.C2.C.DB.C3.C.2C$34.C6.3C2.4C
13.C2.C2.D2.B2.D2.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2C27.B8.D.C.D.C38.C$34.C5.C3.C.C3.C4.4C.C6.CB.C.D3.2C92.D
2CBDC2.B.B.B2.D.E35.C$34.C5.C5.C3.C3.C5.A9.C2.C3.C98.C.C.D.C2.B34.2C.
C2.3C$34.C6.3C2.4C2.2C5.B.2CBA2CBAC.BA.CBA.CBA2CBA2CBAC79.CDB2CDB3.C
2.C.C.DB2CDB2CDB2CDB2CDB2CDBC10.C2.2C.C3.C$34.C9.C.C3.C7.C31.C77.C13.
D2.C23.C9.C3.C.C3.C$34.C5.C3.C.C3.C8.CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB
79.BD2CBD2CBD2CB4.D.D3.D3.D3.D3.D3.D10.C2.2C.C3.C$34.5C2.3C2.4C137.B.
C.B.C.B.C.B.C.B.C.B12.2C.C2.3C$186.C2.C.C.C.C.C.C.C.C.C.C$186.C2.B.C.
B.C.B.C.B.C.B.C$186.D3.D3.D3.D3.D3.D$186.B$185.C.D10.C.2C$186.C11.2C$
198.C$198.C$198.C!

Edit 2: here are positive, negative and double-edge detectors (again for 4-tick logic).
x = 68, y = 27, rule = WireworldModern
31.C34.C2$21.C8.3C22.3C8.C$20.2C3.C3.C3.C20.C3.C3.C2.2C$21.C4.C2.C3.C
20.C3.C4.C2.C$21.C.5C.C.C.C20.C.C.C.5C.C$21.C4.C2.C3.C20.C3.C4.C2.C$
15.CB4.C3.C3.C3.C16.B3.C3.C3.C3.C$14.C2.D2.3C7.3C16.C.A3.3C7.3C$.C13.
DC19.C12.C.C$C.BA2CBA2CBA2CB2.17C.C.BA2CBD2CBDC2.D.16C$.D34.A11.CB2$
44.C2$42.5C2$31.3C9.3C$30.C3.C3.C3.C3.C$30.C3.C4.C2.C3.C$30.C3.C.5C.C
3.C$30.C3.C4.C2.C3.C$22.2CB5.C2.C4.C3.C2.C$21.D3.D5.2C.C8.2C.C$.D20.B
.C$C.BD2CBD2CBA2CBA2CBA2C.D.CBD2CBD2CBD2CBD2CBD2CBD2C$.C!

And here is the critical component of a delay line mechanism for selecting registers in a register bank.
x = 144, y = 29, rule = WireworldModern
7.D$6.B.2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA
2CBA.66C$7.C64.C$69.CD.2C64.C$60C8.C2.B2.AB2CAB2CAB2CAB2CAB2CAB2CAB2C
AB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2C.B$60.C8.C3.C64.D$61.C4.3C3.C$62.
C2.C3.C.C$63.C2.C.C.C$64.2C.C2.C$68.C.C$67.C.C$67.C$68.76C2$7.D$6.B.
2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA.66C$
7.C64.C$69.CD.2C64.C$60C8.C2.B2.DB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2C.B$60.C8.C3.C64.D$61.C4.3C3.C$62.C2.C3.C.C
$63.C2.C.C.C$64.2C.C2.C$68.C.C$67.C.C$67.C$68.76C!
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Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » December 29th, 2018, 1:48 am

A 16-bit register hooked up to all the necessary lines:
x = 162, y = 59, rule = WireworldModern
7.D63.E$6.B.2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA
2CBA2CBA.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2C$7.C64.C$70.D.C$69.C.B$69.C2.D$69.B.C$70.D.C$67.B4.BC.D2.C3.C$
66.D.C2.D2.C.B.C.C.C$66.C.C.C2.D2.C.C.C.C$66.C2.D.C2.B.C.C.C.C$63.CDB
4.B2.C.D3.C.C$62.C3.D.C4.C64.C$8.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.AB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB
2CAB2CAB2CAB2CAB2CAB2CAB2C.B$61.CD.C2.D6.E63.D$65.B.C$63.CD.C$60.DBC$
59.C3.B.C94.D$2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CD
B2C2.C.D.C.DB.CDB2CDB2CDB2CDB2CDB2CDB2CAB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CAB2CDB.C$58.DB.C2.B3.C25.E59.E5.C$62.C.
D2.B31.C.C$49.BC3.2C.BC.DB.C2.D32.C$48.D2.C.B2.D2.C5.C30.2C.C.C$48.C.
D2.D3.C2.C3.C30.C2.2C.C$48.C.B2.CD.C.DB.CDB31.C3.C.C$48.B.C.C2.B3.D
35.C2.2C.C$48.D.C2.B2.D2.C9.C26.2C.C.C$48.C.D2.D.C.BC9.D.C$48.C.B.C2.
C12.B.B$48.B2.C.DB.CDB2CDB2C.2C3.D11.C$49.A15.D.C4.C10.C$48.C3.BD2CBD
2CBD2CB3.D4.C6.2C.C2.3C$48.C2.C14.C.B5.B4.C2.2C.C3.C$48.B3.CDB2C8.D.C
7.D3.C3.C.C3.C$49.D7.D7.B2.C.BD4.C2.C2.2C.C3.C$50.2CBD2CB8.C.D.C2.C4.
C2.2C.C2.3C$.D62.C.B3.C2.C4.B$C.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C$.C64.C$66.D.C$67.B.C$63.CD.C2.D6.E63.
D$10.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDBC2.B.C.B.CDB
C.AB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2CAB2C.B$
64.C3.D.C4.C64.C$65.CDB4.B2.C.D2.C.2C$68.C2.D.C2.B.C.2C$68.C.C.C2.D2.
C.C$68.D.C2.D2.C.B.C$69.B4.BC.D2.C$72.D.C$71.B.C$71.C2.D$71.C.B$72.D.
C$9.C64.C$8.B.2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB
A2CBA2CBA.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD$9.D63.E!

It is trivial to extend the register's bit count, since the loop has space on the left to extend. The notch in the register indicates the LSB; the state-5 cells indicate where the 16-bit trains must be for a proper read or write.

Here is a stack of eight 16-bit registers, with the delay between registers being half a word (32 ticks):
x = 282, y = 63, rule = WireworldModern
268.C$27.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDBC.D$26.B241.B$26.D.CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD.CBDC.B12.C$27.C31.C31.C31.C31.C31.C31.C31.C4.CBC11.C$25.
D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.D.C5.B12.C$24.C.B29.C.B29.C
.B29.C.B29.C.B29.C.B29.C.B29.C.B19.C$24.C2.D28.C2.D28.C2.D28.C2.D28.C
2.D28.C2.D28.C2.D28.C2.D18.C.C3.C$24.B.C29.B.C29.B.C29.B.C29.B.C29.B.
C29.B.C29.B.C19.C.C.C.C$25.D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.
D.C18.C.C.C.C$22.B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D23.B
4.BC.D23.B4.BC.D23.B4.BC.D15.C.C.C.C$21.D.C2.D2.C.B21.D.C2.D2.C.B21.D
.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B21.
D.C2.D2.C.B14.C2.C.C$21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C
.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C14.C$
21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.
C21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.C14.C$18.CDB4.B2.C.D19.CDB
4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CD
B4.B2.C.D19.CDB4.B2.C.D15.C$.D15.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.
C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C15.C$CDB2CDB
2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB
2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC
2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C
.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDBC.D$.D14.CD.C2.
D25.CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C
2.D21.B$20.B.C29.B.C29.B.C29.B.C29.B.C29.B.C29.B.C29.B.C$18.CD.C28.CD
.C28.CD.C28.CD.C28.CD.C28.CD.C28.CD.C28.CD.C29.C.C$15.DBC29.DBC29.DBC
29.DBC29.DBC29.DBC29.DBC29.DBC33.C$.D12.C3.B.C25.C3.B.C25.C3.B.C25.C
3.B.C25.C3.B.C25.C3.B.C25.C3.B.C25.C3.B.C23.C3.2C.C.C$CDB2CDB2CDB2C2.
C.D.C.DB.CDB2CDB2CDB2CDB2CDB2C2.C.D.C.DB.CDB2CDB2CDB2CDB2CDB2C2.C.D.C
.DB.CDB2CDB2CDB2CDB2CDB2C2.C.D.C.DB.CDB2CDB2CDB2CDB2CDB2C2.C.D.C.DB.C
DB2CDB2CDB2CDB2CDB2C2.C.D.C.DB.CDB2CDB2CDB2CDB2CDB2C2.C.D.C.DB.CDB2CD
B2CDB2CDB2CDB2C2.C.D.C.DB.CDB2CDB2CDB2CDB2CDBC.D.C2.2C.C$.D11.DB.C2.B
3.C21.DB.C2.B3.C21.DB.C2.B3.C21.DB.C2.B3.C21.DB.C2.B3.C21.DB.C2.B3.C
21.DB.C2.B3.C21.DB.C2.B3.C20.B2.C3.C.C$17.C.D2.B26.C.D2.B26.C.D2.B26.
C.D2.B26.C.D2.B26.C.D2.B26.C.D2.B26.C.D2.B24.C2.2C.C$4.BC3.2C.BC.DB.C
2.D14.BC3.2C.BC.DB.C2.D14.BC3.2C.BC.DB.C2.D14.BC3.2C.BC.DB.C2.D14.BC
3.2C.BC.DB.C2.D14.BC3.2C.BC.DB.C2.D14.BC3.2C.BC.DB.C2.D14.BC3.2C.BC.D
B.C2.D26.2C.C.C$3.D2.C.B2.D2.C5.C14.D2.C.B2.D2.C5.C14.D2.C.B2.D2.C5.C
14.D2.C.B2.D2.C5.C14.D2.C.B2.D2.C5.C14.D2.C.B2.D2.C5.C14.D2.C.B2.D2.C
5.C14.D2.C.B2.D2.C5.C$3.C.D2.D3.C2.C3.C15.C.D2.D3.C2.C3.C15.C.D2.D3.C
2.C3.C15.C.D2.D3.C2.C3.C15.C.D2.D3.C2.C3.C15.C.D2.D3.C2.C3.C15.C.D2.D
3.C2.C3.C15.C.D2.D3.C2.C3.C$3.C.B2.CD.C.DB.CDB16.C.B2.CD.C.DB.CDB16.C
.B2.CD.C.DB.CDB16.C.B2.CD.C.DB.CDB16.C.B2.CD.C.DB.CDB16.C.B2.CD.C.DB.
CDB16.C.B2.CD.C.DB.CDB16.C.B2.CD.C.DB.CDB$3.B.C.C2.B3.D20.B.C.C2.B3.D
20.B.C.C2.B3.D20.B.C.C2.B3.D20.B.C.C2.B3.D20.B.C.C2.B3.D20.B.C.C2.B3.
D20.B.C.C2.B3.D$3.D.C2.B2.D2.C9.C10.D.C2.B2.D2.C9.C10.D.C2.B2.D2.C9.C
10.D.C2.B2.D2.C9.C10.D.C2.B2.D2.C9.C10.D.C2.B2.D2.C9.C10.D.C2.B2.D2.C
9.C10.D.C2.B2.D2.C9.C$3.C.D2.D.C.BC9.D.C9.C.D2.D.C.BC9.D.C9.C.D2.D.C.
BC9.D.C9.C.D2.D.C.BC9.D.C9.C.D2.D.C.BC9.D.C9.C.D2.D.C.BC9.D.C9.C.D2.D
.C.BC9.D.C9.C.D2.D.C.BC9.D.C$3.C.B.C2.C12.B.B9.C.B.C2.C12.B.B9.C.B.C
2.C12.B.B9.C.B.C2.C12.B.B9.C.B.C2.C12.B.B9.C.B.C2.C12.B.B9.C.B.C2.C
12.B.B9.C.B.C2.C12.B.B$3.B2.C.DB.CDB2CDB2C.2C3.D8.B2.C.DB.CDB2CDB2C.
2C3.D8.B2.C.DB.CDB2CDB2C.2C3.D8.B2.C.DB.CDB2CDB2C.2C3.D8.B2.C.DB.CDB
2CDB2C.2C3.D8.B2.C.DB.CDB2CDB2C.2C3.D8.B2.C.DB.CDB2CDB2C.2C3.D8.B2.C.
DB.CDB2CDB2C.2C3.D$4.A15.D.C4.C7.D16.A.C4.C8.A15.D.C4.C7.D16.A.C4.C8.
A15.D.C4.C7.D16.A.C4.C8.A15.D.C4.C7.D16.A.C4.C$3.C3.BD2CBD2CBD2CB3.D
4.C6.C3.BD2CBD2CBD2CB3.D4.C6.C3.BD2CBD2CBD2CB3.D4.C6.C3.BD2CBD2CBD2CB
3.D4.C6.C3.BD2CBD2CBD2CB3.D4.C6.C3.BD2CBD2CBD2CB3.D4.C6.C3.BD2CBD2CBD
2CB3.D4.C6.C3.BD2CBD2CBD2CB3.D4.C$3.C2.C14.C.B5.B5.C2.C14.C.B5.B5.C2.
C14.C.B5.B5.C2.C14.C.B5.B5.C2.C14.C.B5.B5.C2.C14.C.B5.B5.C2.C14.C.B5.
B5.C2.C14.C.B5.B$3.B3.CDB2C8.D.C7.D4.B3.CDB2C8.D.C7.D4.B3.CDB2C8.D.C
7.D4.B3.CDB2C8.D.C7.D4.B3.CDB2C8.D.C7.D4.B3.CDB2C8.D.C7.D4.B3.CDB2C8.
D.C7.D4.B3.CDB2C8.D.C7.D$4.D7.D7.B2.C.BD4.C4.D7.D7.B2.C.BD4.C4.D7.D7.
B2.C.BD4.C4.D7.D7.B2.C.BD4.C4.D7.D7.B2.C.BD4.C4.D7.D7.B2.C.BD4.C4.D7.
D7.B2.C.BD4.C4.D7.D7.B2.C.BD4.C19.C$5.2CBD2CB8.C.D.C2.C4.C4.2CBD2CB8.
C.D.C2.C4.C4.2CBD2CB8.C.D.C2.C4.C4.2CBD2CB8.C.D.C2.C4.C4.2CBD2CB8.C.D
.C2.C4.C4.2CBD2CB8.C.D.C2.C4.C4.2CBD2CB8.C.D.C2.C4.C4.2CBD2CB8.C.D.C
2.C4.C18.C$.C17.C.B3.C2.C4.B17.C.B3.C2.C4.B17.C.B3.C2.C4.B17.C.B3.C2.
C4.B17.C.B3.C2.C4.B17.C.B3.C2.C4.B17.C.B3.C2.C4.B17.C.B3.C2.C4.B14.2C
.C2.3C$C.D2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2CBD2CBD3.CBD4.BD2C.D
2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2CB
D2CBD3.CBD4.BD2C.D2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2CBD2CBD3.CBD
4.BD2C.D2CBD2CBD2CBD2CBD3.CBD4.BD2C.D2CBD2CBD2C2.C2.2C.C3.C$.B19.C31.
C31.C31.C31.C31.C31.C31.C25.C3.C.C3.C$21.D.C29.D.C29.D.C29.D.C29.D.C
29.D.C29.D.C29.D.C23.C2.2C.C3.C$22.B.C29.B.C29.B.C29.B.C29.B.C29.B.C
29.B.C29.B.C23.2C.C2.3C$.C16.CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C2.D25.
CD.C2.D25.CD.C2.D25.CD.C2.D25.CD.C2.D19.B$3CDB2CDB2CDB2CDBC2.B.C.B.CD
BC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB
2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB
2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB
2CDB2CDBC2.B.C.B.CDBC.DB2CDB2CDB2CD.C$.C17.C3.D.C4.C20.C3.D.C4.C20.C
3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C20.C3.D.C4.C
13.C$20.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.
B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D19.CDB4.B2.C.D13.C$23.C2.D.C2.B.C
21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.C21.C2.D.C2.B.
C21.C2.D.C2.B.C21.C2.D.C2.B.C12.C$23.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.
C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C.C2.D2.C21.C.C
.C2.D2.C12.C$23.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B
21.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B21.D.C2.D2.C.B12.C.C.2C$24.
B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D23.B4.BC.D
23.B4.BC.D13.C.2C$27.D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.D.C29.D.C16.
C.C$26.B.C29.B.C29.B.C29.B.C29.B.C29.B.C29.B.C29.B.C17.C.C$26.C2.D28.
C2.D28.C2.D28.C2.D28.C2.D28.C2.D28.C2.D28.C2.D16.C.C$26.C.B29.C.B29.C
.B29.C.B29.C.B29.C.B29.C.B29.C.B17.C$27.D.C29.D.C29.D.C29.D.C29.D.C
29.D.C29.D.C29.D.C5.B10.C$29.C31.C31.C31.C31.C31.C31.C31.C4.CBC9.C$
28.D.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.
CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD.CBDC.B10.C$28.B239.B$29.2CDB2CDB2CDB2CDB2CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CD.C$268.C!
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Re: Wireworld Modern

Postby Freywa » December 30th, 2018, 1:15 am

Karl Scherer's "special crossing" that returns A AND B in less space than if an AND gate and cross were used separately allows further compaction of the register, as does the multiplexer variant that doesn't use a cross. Thus we have the following "third-generation" register:
x = 65, y = 33, rule = WireworldModern
2CBD2CBD2CBA.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBDC$12.
C$7.DBC2.C$6.C3.C.B$B2CDBC.DB2CD.C.AB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB$7.DBC4.C$6.C3.CDBC$3.DBC$2.C3.B.CDBC$C2.C.D.C4.CDB2C
DB2CDB2CDB2CAB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2C$.DB.C2.B3.C$5.C.D2.B
5.2CBD2CBD2CBD2CBD2CBD2CB$4.B.C2.D5.D23.D$4.D3.DC5.B8.B2CDB2CDB2CDB2C
$5.2CB2.CBD2C8.D$8.DC14.2CBD2CBD2CBD2CB$10.DB2CD24.D$9.C5.B8.B2CDB2CD
B2CDB2C$8.2C.DC2.C7.D$5.C.D2.B2.C.C8.2CBD2CBD2CBD2CB$4.C.B6.B.D23.D$
4.D2.C.DC2.D2.B2CDB2CDB2CAB2CDB2CDB2C$4.B.C.B2.C2.C$BD2C.D3.C2.BD.CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB$6.BDC$5.C$5.C3.CDBC$
6.DBC4.C$2CDBC.DB2CD.C.DB2CAB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDBC$5.C3.C.B$6.DBC2.C$11.C$CBD2CBA2CBD.CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2C!

Unlike its predecessors, it allows simultaneous read and write, though this functionality may not be needed much.
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Re: Wireworld Modern

Postby Freywa » January 1st, 2019, 11:54 pm

2's complement and incrementer devices:
x = 120, y = 38, rule = WireworldModern
110.C$109.2C$97.C3.C3.C4.C$98.C.C4.C4.C$99.C3.5C2.C$98.C.C4.C4.C$97.C
3.C3.C3.3C2$71.D21.C$70.C.BD2CBD2CBA2CBD2CBD2C4.BD.21C$71.C20.B2.C2.C
$81.C11.AC2.C.D5.C11.C$94.C.C.B.B$94.C.D.C2.C$95.B.C3.C$98.A2.A.C$97.
C.B.B$98.C2.C$101.C$101.D$101.B$101.C$101.C$101.D$101.B$100.D.C$3.C
40.C27.C28.C$.D$C.BA2CBD2CBA2CBD2CBA2CBA2CBD2CBD.5C.36C$.C30.C5.C$32.
C.D.D2.C4.3C9.C7.C$31.B.B.C.B.C3.C3.C7.C9.C$31.D.C2.C.C8.C2.3C2.C2.C
3.C2.C$32.C3.C7.3C2.C3.C.C3.C.C3.C$.D33.D7.C5.C5.C4.C4.C$C.BA2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CB8.C5.C3.C.C3.C.C3.C$.C41.5C2.3C3.C.C3.C.C$3.C!

The incrementer is a half-adder with its carry OR'd into one input, so works equally well with the input leads swapped. The two's complement device needs a bit denoting the end of the word.

These gates have zero delay from input and output, and a Moore/Owen-style ROM can be built from them:
x = 131, y = 118, rule = WireworldModern
.C$C.C$3C40.5C$C.C$C.C4.BA2CBA2CBD2CBD2C22.C63.C3.C$23.C20.C.C24.BA2C
BA2CBD2CBDC23.C3.C$23.17C4.C.C39.17C7.C.C$2C5.BA2CBD2CBA2CBD2C20.C3.C
23.BA2CBD2CBA2CBDC24.C.C$C.C40.C3.C63.C$2C$C.C$2C$108.5C2$108.C3.C$
71.BA2CBA2CBD2CBDC.C20.C3.C$86.17C6.C.C$71.BA2CBD2CBA2CBDC23.C.C$7.BA
2CBA2CBD2CBD2C21.C65.C$23.2C18.C.C$23.17C3.C.C$7.BA2CBD2CBA2CBD2C19.C
3.C$42.C3.C70.3C$85.C$71.BA2CBA2CBD2CBD2C21.C2.C3.C.2C$86.17C4.C.C.C
3.C.C.C$71.BA2CBD2CBA2CBDC21.3C2.C.C2.2C$107.C.C2.C.C2.C.C$71.BA2CBA
2CBD2CBD2C20.C.C3.C3.2C$86.17C$52.3C16.BA2CBD2CBA2CBDC.C2$7.BA2CBA2CB
D2CBD2C20.C2.C3.C.2C53.3C$23.C18.C.C.C3.C.C.C30.C$23.17C2.3C2.C.C2.2C
17.BA2CBA2CBD2CBD3C20.C4.C3.2C$7.BA2CBD2CBA2CBD2C.C17.C.C2.C.C2.C.C
31.17C4.C.C2.C.C2.C.C$42.C.C3.C3.2C17.BA2CBD2CBA2CBDC21.3C2.C.C2.2C$
107.C.C.C3.C.C.C$71.BA2CBA2CBD2CBD2C20.C.C.C3.C.2C$86.17C$71.BA2CBD2C
BA2CBDC.2C3$42.3C2$7.BA2CBA2CBD2CBD2C20.C4.C3.2C$23.C18.C.C2.C.C2.C.C
30.C23.C6.2C$23.17C2.3C2.C.C2.2C17.BA2CBA2CBD2CBD5C18.C.C2.C2.C.C$7.B
A2CBD2CBA2CBD2C.2C16.C.C.C3.C.C.C31.C.C.15C3.3C.3C.2C$42.C.C.C3.C.2C
17.BA2CBD2CBA2CBD5C18.C.C2.C2.C.C$85.C22.C.C5.2C7$42.3C$7.BA2CBA2CBD
2CBD2C$23.C19.C2.C3.C.2C31.C2.C$22.18C2.C.C.C3.C.C.C16.BA2CBA2CBD2CBD
20C$7.BA2CBD2CBA2CBD2C19.3C2.C.C2.2C32.C20.2C3.C2.C3.C4.C$42.C.C2.C.C
2.C.C16.BA2CBD2CBA2CBD20C2.C.C.C.C.2C.2C3.C.C$42.C.C3.C3.2C31.C2.C18.
2C2.C.C.C.C.C3.C.C$107.C.C.C.C.C3.C3.C.C$107.C.C2.C2.C3.C4.C4$52.3C2$
7.BA2CBA2CBD2CBD2C20.C4.C3.2C53.2C3.C2.C3.C3.C$23.2C17.C.C2.C.C2.C.C
16.BA2CBA2CBD2CBDC.18C2.C.C.C.C.2C.2C3.C$22.18C2.3C2.C.C2.2C32.C20.2C
2.C.C.C.C.C3.C$7.BA2CBD2CBA2CBD2C19.C.C.C3.C.C.C16.BA2CBD2CBA2CBD20C
2.C.C.C.C.C3.C3.C$42.C.C.C3.C.2C31.C2.C18.C.C2.C2.C3.C3.C8$93.C$88.
10C26.C$71.BA2CBA2CBD2CBD3C6.C.C.19C7.C$87.5C.5C25.3C$36.C3.2C2.2C42.
C.C.2C28.C.C.C$35.C.C3.4C42.5C.5C20.5C.C.5C$35.C.C4.C28.BA2CBD2CBA2CB
D3C6.C.C.19C7.C$35.C.C3.4C43.10C26.C$36.C3.2C2.2C11.B35.C$56.D.2C2.2C
$36.C3.C4.C11.C.4C$36.C4.C.2C15.C$36.C5.C9.C6.4C$36.C4.4C6.B.2C2.3C2.
3C2.2C$36.C3.2C2.2C6.D.CBAC6.4C$55.B9.C$47.C6.C.DC6.C.2C$46.C.DC2.AC
4.2C2.2C4.2C2.2C$47.B.2CBA6.4C6.4C$50.C9.C9.C$43.B5.2CBA6.4C6.4C$42.C
.D2CBAC2.A2C2.3C2.3C2.3C2.3C2.2C$43.C10.CBAC6.4C6.4C$55.B9.C9.C$43.B
10.C.DC6.C.2C6.C.2C$42.C.D2CBD2CBDC4.2C2.2C4.2C2.2C4.6C$43.C15.4C6.4C
$60.C9.C$43.B15.C.2C6.C.2C$42.C.D2CBD2CBD2CBD2C4.2C2.2C4.11C$43.C20.
4C$65.C$43.B20.4C$42.C.D2CBD2CBD2CBD8C2.17C$43.C!
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Re: Wireworld Modern

Postby Freywa » January 4th, 2019, 8:35 am

Shift register and pulse divider:
x = 91, y = 25, rule = WireworldModern
14.C3.C3.C3.C$14.C3.C3.C3.C$14.C3.C3.C3.C$14.C3.C3.C3.C$14.C3.C3.C3.C
$14.D3.D3.D3.D$.A12.B3.B3.B3.B34.C7.C$C.BD2CBA2CBA.C.D.C.D.C.D.C.D32.
C.BD4.C.BD$.C10.C.C.C.C.C.C.C.C.10C18.B4.D2.C4.D2.C$12.A.D.A.D.A.D.A.
D28.C.A2CB.2C4.B.2C4.15C$12.2B2.2B2.2B2.2B30.C7.B.2C4.B.2C$12.C3.C3.C
3.C40.D2.C4.D2.C$12.C3.C3.C3.C39.C.BD4.C.BD$12.A3.A3.A3.A40.C7.C$12.B
3.B3.B3.B$12.C3.C3.C3.C$12.C3.C3.C3.C$12.A3.A3.A3.A$12.B3.B3.B3.B$12.
C3.C3.C3.C$12.C3.C3.C3.C$12.D3.D3.D3.D$12.B3.B3.B3.B$11.A.C.A.C.A.C.A
.C$12.C3.C3.C3.C!

I built these devices in trying to find a unary-to-binary converter, which I eventually found by an extension of the pulse divider:
x = 190, y = 60, rule = WireworldModern
13.C15.C15.C15.C15.C15.C15.C15.C$.D133.D$B.2CBA2CBA2CBA2CBA2CBA2CBA2C
BA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB
A2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB5.C.B$.C127.D3.C3.C6.BD2CBD2CBD2CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD$124.2C3.C2.B2.DC.CD3.C$123.B2.DBC2.D2.
B5.BDC.C$124.DC3.B.C3.2C2.C4.D$126.C2.D.C5.DC5.B$126.B3.C.BD2CB2.D4.C
$126.D2.C.D5.C2.B3.C$126.C2.B.C6.2C4.D$126.C.D.C4.CBD6.B$126.B.C5.C4.
CBD2C$126.D2.C5.D2.C$126.C2.B4.C.B2.DB2CD$126.C2.D3.C3.C6.B$126.B2.C
2.B2.DC.CD3.C$126.D2.C.D2.B5.BDC.C$126.C2.B.C3.2C2.C4.D$126.C2.D.C5.D
C5.B$126.B3.C.BD2CB2.D4.C$126.D2.C.D5.C2.B3.C$126.C2.B.C6.2C4.D$126.C
.D.C4.CBD6.B$126.B.C5.C4.CBD2C$58.2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD24.D2.C5.D2.C$57.D68.C2.B4.C.B2.DB2CD$57.B.CDB2CDB3.B.CDB2CD
B3.B44.C2.D3.C3.C6.B24.B.CDB2CDB$58.C7.C.D.C7.C.D.C43.B2.C2.B2.DC.CD
3.C24.D.C7.C$59.C6.C.C2.C6.C.C2.C42.D2.C.D2.B5.BDC.C23.C2.C6.C$59.D6.
D.C2.D6.D.C2.D42.C2.B.C3.2C2.C4.D23.C2.D6.D$59.B3.B2.B.B2.B3.B2.B.B2.
B3.B35.C2.C2.D.C5.DC5.B23.B2.B3.B2.B$58.D.C.D.C.C.D.D.C.D.C.C.D.D.C.D
.C33.B.C.B3.C.BD2CB2.D4.C23.D.D.C.D.C.C$58.C2.C2.C2.C2.C2.C2.C2.C2.C
2.C2.C33.D.D.D2.C.D5.C2.B3.C22.C2.C2.C2.C$57.C3.D.C.D3.C3.D.C.D3.C3.D
.C.D32.C.B.C2.B.C6.2C4.D24.C3.D.C.D$56.B.C.C.B2.B2.B.C.C.B2.B2.B.C.C.
B2.B32.C.C.C.D.C4.CBD6.B23.B.C.C.B2.B$55.D2.D.C.C2.C.D2.D.C.C2.C.D2.D
.C.C2.C32.B.C.B.C5.C4.CBD2C23.D2.D.C.C2.C$56.C2.B2.C3.C.C2.B2.C3.C.C
2.B2.C2.C32.D.D.D2.C5.D2.C29.C2.B2.C3.C$57.C4.D6.C4.D6.C4.D2.D32.C.B.
C2.B4.C.B2.DB2CD25.C4.D$58.B3.B7.B3.B7.B3.B2.B32.C.C.C2.D3.C3.C6.B25.
B3.B$59.D2C.DC6.D2C.DC6.D2C.D.C32.B.C.B2.C2.B2.DC.CD3.C27.D2C.DC$13.D
48.C2.C8.C2.C8.C2.C32.D.D.D2.C.D2.B5.BDC.C29.C2.C$12.B.2CBD2CBD2CBD2C
BD2CBA2CBA2CBA2CBA2CBA2CBA2CBAC.BD.CB2.CBD2CBD.CB2.CBD2CBD3.D32.C.B.C
2.B.C3.2C2.C4.D22.CBD2CBD.CB$13.C45.C5.DC10.DC10.B32.C.C.C2.D.C5.DC5.
B32.DC$57.C.B29.C32.B.C.B3.C.BD2CB2.D4.C$59.D.CBD2CBD2CBD2CBD2CBD2CBD
2CBDC33.D.D.D2.C.D5.C2.B3.C$58.C.C61.C.B.C2.B.C6.2C4.D$58.C.D61.C.C.C
.D.C4.CBD6.B$59.B62.B.C.B.C5.C4.CBD2C$122.D.D.D2.C5.D2.C$122.C.B.C2.B
4.C.B2.DB2CD$122.C.C.C2.D3.C3.C6.B$122.B.C.B2.C2.B2.DC.CD3.C$122.D.D.
D2.C.D2.B5.BDC$122.C.B.C2.B.C3.2C2.C$122.C2.C3.D.C5.DC$122.B7.C.BD2CB
2.D$122.D8.D5.C2.B$122.C15.2C$123.CBD2CBD2CBD2CBD!

The start of the unary pulse train is detected and turned into the read signal. While this signal travels to the end of the set of T flip-flops attached to falling edge detectors, the pulse train sets and clears the flip-flops to yield the individual bits. The read pulse then liberates one instance of each bit position as it travels through Scherer's "special wire crossings" (one of the outputs is the AND of the two inputs), resetting the flip-flops in the process. The read bits are combined in reverse order to yield the binary output.
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Freywa
 
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 9th, 2019, 2:26 pm

After much trial and error I found smaller variants of Scherer's AND cross (or SAC):
x = 90, y = 44, rule = WireworldModern
35.C$35.C$21.C2.3C4.B3.C.2C$21.C.C3.C2.B.B2.2C2.C$21.C.C3.C2.B.B2.C3.
C27.C$21.C.C2.2C.B3.B.2C2.C27.C$21.C2.2C.C.B3.B.C.2C28.C$21.C45.C$21.
C45.C$21.C45.C$21.C45.C$21.C45.C$21.C45.C$21.C45.C$21.C45.C$21.C45.C$
21.C45.C$21.C44.2C$.3C17.C16.3C25.C$C3.C16.C15.C3.C24.C.C.6CDB2CDB2CA
B2CAB$C3.C16.C15.C3.C25.3C$C2.2C15.2C15.C2.2C7.19C.C$.2C.C15.C2.2C13.
2C.C27.C$21.2C2.C42.2C$19C.C.C.3C.DB2CDB2CAB2CAB26.C$19.2C2.C3.C40.C$
21.2C.C43.C$24.C43.C$24.C43.D$24.C43.B$24.D43.C$24.B43.C$24.C43.A$24.
C43.B$24.A43.C$24.B43.C$24.C43.D$24.C.C41.B$24.D.C41.C$24.B.C.2C38.C$
24.C.2C2.C37.A$24.C.C3.C37.B$24.A.2C2.C$24.B.C.2C!

The first can be used to compact the unary-to-binary converter I showed earlier:
x = 181, y = 44, rule = WireworldModern
137.CD$136.C2.B$.C133.B3.2C.CB$B.2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA
2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA
2CBA2CBA2CBA2CBA2CBA2CB.2C2.D3.C2.C.BD.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD$.D127.D2.B.C3.A.AD3.C$126.DB.C2.D.C4.B2.B3.DB$125.C2.C4.C.BD2C.
C.C5.C$126.CB4.C.D5.2C3.BDC$128.D3.B.C2.CD.D3.C$126.C2.C.D.C2.C2.B5.C
D$125.C.D.C.C3.B3.2C.CB3.B$125.B.B.B2.C.D3.C2.C.BD.C$125.D.C.D2.B.C3.
A.AD3.C$125.C.C.C2.D.C4.B2.B3.DB$125.C.D.C3.C.BD2C.C.C5.C$125.B.B.B2.
C.D5.2C3.BDC$125.D.C.D2.B.C2.CD.D3.C$125.C.C.C.D.C2.C2.B5.CD$125.C.D.
C.C3.B3.2C.CB3.B$125.B.B.B2.C.D3.C2.C.BD.C11.C.D3.C2.C.BD.C$125.D.C.D
2.B.C3.A.AD3.C12.B.C3.A.AD3.C$125.C.C.C2.D.C4.B2.B3.DB10.D.C4.B2.B3.D
B$125.C.D.C3.C.BD2C.C.C5.C10.C.BD2C.C.C5.C$125.B.B.B2.C.D5.2C3.BDC10.
C.D5.2C3.BDC$125.D.C.D2.B.C2.CD.D3.C13.B.C2.CD.D3.C$125.C.C.C.D.C2.C
2.B5.CD10.D.C2.C2.B5.CD$125.C.D.C.C3.B3.2C.CB3.B9.C3.B3.2C.CB3.B$125.
B.B.B2.C.D3.C2.C.BD.C$125.D.C.D2.B.C3.A.AD3.C$125.C.C.C2.D.C4.B2.B3.D
B$125.C.D.C3.C.BD2C.C.C5.C$125.B.B.B2.C.D5.2C3.BDC$125.D.C.D2.B.C2.CD
.D3.C$125.C.C.C.D.C2.C2.B5.CD$125.C.D.C.C3.B3.2C.CB3.B$125.B.B.B2.C.D
3.C2.C.BD.C$125.D.C.D2.B.C3.A.AD3.C$125.C.C.C2.D.C4.B2.B$125.C.D.C3.C
.BD2C.C.C$125.B2.B5.D5.2C$125.D14.D$125.C15.B$125.C15.C$126.BD2CBD2CB
D2CBDC!

The second, while not allowing the "mask lead" (the one that passes through without ANDing) to be duplicated, finally allows a serial-to-parallel device and a bit reverser:
x = 298, y = 67, rule = WireworldModern
28.D$28.B$24.D3.C$24.B3.C$20.D3.C3.D$20.B3.C3.B$16.D3.C3.D3.C$16.B3.C
3.B3.C$12.D3.C3.D3.C3.D$12.B3.C3.B3.C3.B$8.D3.C3.D3.C3.D3.C$8.B3.C3.B
3.C3.B3.C$4.D3.C3.D3.C3.D3.C3.D118.B$4.B3.C3.B3.C3.B3.C3.B117.C.D2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2CBD2CBD2CBD2CBD$D3.C3.D3.C3.
D3.C3.D3.C118.C61.C$B3.C3.B3.C3.B3.C3.B3.C163.C16.C$C3.D3.C3.D3.C3.D
3.C3.D180.B6.D$C3.B3.C3.B3.C3.B3.C3.B177.A2.D5.B.C$D3.C3.D3.C3.D3.C3.
D3.C174.C.B.2C6.C.C$B3.C3.B3.C3.B3.C3.B3.C173.A.C3.2C5.C.B$C3.D3.C3.D
3.C3.D3.C3.D172.B2.B2.2B2.C3.D.D6.C$C3.B3.C3.B3.C3.B3.C3.B169.A.C3.A
2.D.A2CB2.B.C5.C.B$D3.C3.D3.C3.D3.C3.D3.C168.B.C5.2C6.D.C.C5.D.D$B3.C
3.B3.C3.B3.C3.B3.C167.C2.C6.2C6.C3.B4.B.C$C3.D3.C3.D3.C3.D3.C3.D166.C
3.B5.2B2.C9.D3.C.C6.D$C3.B3.C3.B3.C3.B3.C3.B165.A4.A2.A2.D.A2CBD2CBD
2CB.C2.C.B5.B.C$D3.C3.D3.C3.D3.C3.D3.C129.C27.C6.B5.C.B.2C16.C.D.D5.C
.C$B3.C3.B3.C3.B3.C3.B3.C87.C75.C7.C3.2C16.B3.C4.C.B$C3.D3.C3.D3.C3.D
3.C3.D86.C.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2CBA2CBD2CBA2CBD
2CBA2CBA2CBA2CB.C8.B2.2B2.C19.C3.D.D6.C$C3.B3.C3.B3.C3.B3.C3.B87.D70.
C2.A9.A2.D.A2CBD2CBD2CBD2CBD2CBDC.B2.B.C5.C.B$D3.C3.D3.C3.D3.C3.D3.C
161.C10.2C26.D.C.C5.D.D$B3.C3.B3.C3.B3.C3.B3.C161.C11.2C26.C3.B4.B.C$
C3.D3.C3.D3.C3.D3.C3.D161.B10.2B2.C29.D3.C.C6.D$C3.B3.C3.B3.C3.B3.C3.
B161.A7.A2.D.A2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB.C2.C.B5.B.C$D3.C3.D3.C
3.D3.C3.D3.C161.C4.C.B.2C36.C.D.D5.C.C$B3.C3.B3.C3.B3.C3.B3.C161.C3.A
.C3.2C36.B3.C4.C.B$C3.D3.C3.D3.C3.D3.C3.D161.B2.B2.B2.2B2.C39.C3.D.D
6.C$C3.B3.C3.B3.C3.B3.C3.B161.A.C3.A2.D.A2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBDC.B2.B.C5.C.B$D3.C3.D3.C3.D3.C3.D3.C162.C5.2C46.D.C.C5.D.
D$B3.C3.B3.C3.B3.C3.B3.C162.C6.2C46.C3.B4.B.C$C3.D3.C3.D3.C3.D3.C3.D
162.B5.2B2.C49.D3.C.C6.D$C3.B3.C3.B3.C3.B3.C3.B162.A2.A2.D.A2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB.C2.C.B5.B.C$D3.C3.D3.C3.D
3.C3.D3.2C22.C138.C.B.2C56.C.D.D5.C.C$B3.C3.B3.C3.B3.C3.B3.C68.B94.C
3.2C56.B3.C4.C.B$C3.D3.C3.D3.C3.D3.2C2.A.C.DB2CDB2CDB2CDB2CDB2CAB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CD.C93.B2.2B2.C59.C3.D.D$C3.B3.C
3.B3.C3.B3.C4.B2C65.C94.A2.D.A2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBDC.B2.B.C$D3.C3.D3.C3.D3.2C2.A.C.DB.C161.2C66.D.C
.C$B3.C3.B3.C3.B3.C4.B2C4.A161.2C66.C3.B$C3.D3.C3.D3.2C2.A.C.DB.C3.B
161.2B2.C69.D$C3.B3.C3.B3.C4.B2C4.ABC162.D.A2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB.2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2C$D3.C3.D3.2C2.A.C.DB.C7.C$B3.C3.B3.C4.B2C4.A5.A238.C27.C$C
3.D3.2C2.A.C.DB.C3.B5.B$C3.B3.C4.B2C4.ABC5.C$D3.2C2.A.C.DB.C7.CAB2C$B
3.C4.B2C4.A11.A$2C2.A.C.DB.C3.B11.B$C4.B2C4.ABC11.C$A.C.DB.C7.C9.C$.B
2C4.A5.A9.A$DB.C3.B5.B9.B$4.ABC5.C9.C$7.CAB2C9.C$12.AB2CAB2CA2.C70.D$
21.B2CAB2CAB2CAB2CAB2CAB2CDB2CAB2CAB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB.C$94.C$24.C27.C!


Edit: this arrangement of the delay lines saves lots of space in the bit reverser:
x = 113, y = 26, rule = WireworldModern
36.AC$35.B2.C$34.C2.B2.AC$.B32.C.A2.B2.C$C.D2CBD2CBA2CBD2CBD2CBD2CBD
2CBD.C.A2.2C2.B2.AC$.C29.2CB4.C.A2.B2.C$10.C20.C.BD.C.A2.2C2.B2.AC$
30.A4.2CB4.C.A2.B2.C$31.B3.C.BD.C.A2.2C2.B2.AC$32.CBA4.2CB4.C.A2.B2.C
$31.C7.C.BD.C.A2.2C2.B2.AC$32.A5.A4.2CB4.C.A2.B2.C$33.B5.B3.C.BD.C.A
2.2C2.B$34.C5.CBA4.2CB4.C.A2.BA$35.2CBAC7.C.BD.C.A2.2C2.C$34.A11.A4.
2CB4.C2.C$35.B11.B3.C.BD.C.A2.B$36.C11.CBA4.2CB4.A$37.C9.C7.C.BD.C.A
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C$38.A9.A5.A4.2CB$
39.B9.B5.B3.C$40.C9.C5.CBA$10.C30.C9.2CBAC$.B37.C2.A2CBA2CBA$C.D2CBD
2CBA2CBA2CBA2CBD2CBA2CBD2CBA2CBA2CB$.C!

And this arrangement takes up linear space in the number of bits in the word to be reversed, as compared to quadratic space for the other version because of the binary tree:
x = 728, y = 15, rule = WireworldModern
145.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C
4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.B
A2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C$144.C4.B2.C4.B2.C
4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B
2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C
4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B$144.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C
4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A
2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C4.A2.C
4.A2.C4.A2.C4.A$144.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A
4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C
2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C2.A4.C$
144.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C
2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B
4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C2.B4.C$144.C4.B2.C4.B2.C
4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B
2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C
4.B2.C4.B2.C4.B2.C4.B2.C4.B2.C4.B$143.C2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.
AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.
2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.A
C2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C2.AC2.2C
2.AC2.2C2.A337C$143.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A
.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B
2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D
2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B2.A.D2.B.A$.D142.
2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D
3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.
D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B2.D3.2B
2.D3.2B2.D2.B$C.B140.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C
2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.
C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C
3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C$.C.D140.2C3.C2.2C3.C2.2C3.C2.2C3.
C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C
3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.
2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C3.C2.2C$4.2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2CBD2.A3.
BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A
3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.
A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD2.A3.BD
2.A3.BD2.A$2.D142.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.
2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C
4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B
$.B.2CBD2CBD2CBD2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CBA2CBA2CBA2CBD2CBA2CBA
2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CBD2CBA2CBA2CBD2CBA
2CBD2CBA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA
2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C
4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C4.BA2C$2.C140.C
!


By comparison, the 32-bit "triangle" bit reverser:
x = 461, y = 76, rule = WireworldModern
141.AC$140.B2.C$139.C2.B2.AC$.D137.C.A2.B2.C$C.BD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.C.A2.2C2.B2.AC$.C134.2CB
4.C.A2.B2.C$136.C.BD.C.A2.2C2.B2.AC$135.A4.2CB4.C.A2.B2.C$136.B3.C.BD
.C.A2.2C2.B2.AC$137.CBA4.2CB4.C.A2.B2.C$136.C7.C.BD.C.A2.2C2.B2.AC$
137.A5.A4.2CB4.C.A2.B2.C$138.B5.B3.C.BD.C.A2.2C2.B2.AC$139.C5.CBA4.2C
B4.C.A2.B2.C$140.2CBAC7.C.BD.C.A2.2C2.B2.AC$139.A11.A4.2CB4.C.A2.B2.C
$140.B11.B3.C.BD.C.A2.2C2.B2.AC$141.C11.CBA4.2CB4.C.A2.B2.C$142.C9.C
7.C.BD.C.A2.2C2.B2.AC$143.A9.A5.A4.2CB4.C.A2.B2.C$144.B9.B5.B3.C.BD.C
.A2.2C2.B2.AC$145.C9.C5.CBA4.2CB4.C.A2.B2.C$146.C9.2CBAC7.C.BD.C.A2.
2C2.B2.AC$147.A2CBA2CBA11.A4.2CB4.C.A2.B2.C$146.B21.B3.C.BD.C.A2.2C2.
B2.AC$147.C21.CBA4.2CB4.C.A2.B2.C$148.C19.C7.C.BD.C.A2.2C2.B2.AC$149.
A19.A5.A4.2CB4.C.A2.B2.C$150.B19.B5.B3.C.BD.C.A2.2C2.B2.AC$151.C19.C
5.CBA4.2CB4.C.A2.B2.C$152.C19.2CBAC7.C.BD.C.A2.2C2.B2.AC$153.A17.A11.
A4.2CB4.C.A2.B2.C$154.B17.B11.B3.C.BD.C.A2.2C2.B2.AC$155.C17.C11.CBA
4.2CB4.C.A2.B2.C$156.C17.C9.C7.C.BD.C.A2.2C2.B2.AC$157.A17.A9.A5.A4.
2CB4.C.A2.B2.C$158.B17.B9.B5.B3.C.BD.C.A2.2C2.B2.AC$159.C17.C9.C5.CBA
4.2CB4.C.A2.B2.C$160.C17.C9.2CBAC7.C.BD.C.A2.2C2.B2.AC$161.A17.A2CBA
2CBA11.A4.2CB4.C.A2.B2.C$162.BA2CBA2CBA2CBA2CB21.B3.C.BD.C.A2.2C2.B2.
AC$161.C39.CBA4.2CB4.C.A2.B2.C$162.C37.C7.C.BD.C.A2.2C2.B2.AC$163.A
37.A5.A4.2CB4.C.A2.B2.C$164.B37.B5.B3.C.BD.C.A2.2C2.B2.AC$165.C37.C5.
CBA4.2CB4.C.A2.B2.C$166.C37.2CBAC7.C.BD.C.A2.2C2.B2.AC$167.A35.A11.A
4.2CB4.C.A2.B2.C$168.B35.B11.B3.C.BD.C.A2.2C2.B2.AC$169.C35.C11.CBA4.
2CB4.C.A2.B2.C$170.C35.C9.C7.C.BD.C.A2.2C2.B2.AC$171.A35.A9.A5.A4.2CB
4.C.A2.B2.C$172.B35.B9.B5.B3.C.BD.C.A2.2C2.B2.AC$173.C35.C9.C5.CBA4.
2CB4.C.A2.B2.C$174.C35.C9.2CBAC7.C.BD.C.A2.2C2.B2.AC$175.A35.A2CBA2CB
A11.A4.2CB4.C.A2.B2.C$176.B33.B21.B3.C.BD.C.A2.2C2.B2.AC$177.C33.C21.
CBA4.2CB4.C.A2.B2.C$178.C33.C19.C7.C.BD.C.A2.2C2.B2.AC$179.A33.A19.A
5.A4.2CB4.C.A2.B2.C$180.B33.B19.B5.B3.C.BD.C.A2.2C2.B$181.C33.C19.C5.
CBA4.2CB4.C.A2.BA$182.C33.C19.2CBAC7.C.BD.C.A2.2C2.C$183.A33.A17.A11.
A4.2CB4.C2.C$184.B33.B17.B11.B3.C.BD.C.A2.B$185.C33.C17.C11.CBA4.2CB
4.A$186.C33.C17.C9.C7.C.BD.C.A2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD149C$187.A33.A17.A9.A5.A4.2CB$188.B33.B17.B9.B5.B3.C$189.C
33.C17.C9.C5.CBA$190.C33.C17.C9.2CBAC$191.A33.A17.A2CBA2CBA$192.B33.B
A2CBA2CBA2CBA2CB$47.D142.B2.CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2C$46.B.2C
BD2CBD2CBD2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CB
A2CBA2CBD2CBA2CBA2CBA2CBA2CBD2CBA2CBA2CBA2CBD2CBA2CBA2CBD2CBA2CBD2CBA
2CBAC$47.C!
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 10th, 2019, 1:17 pm

Comparator gadget:
x = 132, y = 19, rule = WireworldModern
120.C8.2C$119.C.C.C2.2C.C.C$119.3C2.C4.2C$90.CB27.C.C.C2.2C.C.C$.B74.
D2CBD2CBD2CBDC2.DC25.C.C7.2C$D.CBD2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB15.C2.CB$.C73.BA2CB7.BD2C.A.CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB$3.C72.D.C.DC4.C4.B.C$2.C.D2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2CB.
2CBA2CBA2C$3.B71.B6.C.A2.B.C$2.C.D2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB
A2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBD2CBA2CB.2CBA2CBA2C$3.C72.D.C.DC4.C4.
B.C$.C73.BA2CB7.BD2C.A.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB$D.CBD2C
BA2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
15.C2.CB$.B74.D2CBD2CBD2CBDC2.DC26.C8.2C$90.CB27.C.C2.C.2C.C.C$119.3C
.C5.2C$119.C.C2.C.2C.C.C$119.C.C7.2C!

The outer leads are check leads. The top inner lead is A and the bottom inner lead B; a pulse on both check leads will compare the numbers that have arrived up to that point (interpreted as two's complement, with the MSB being the bit aligned with the check pulse) and output accordingly.

There are very visible "waves" of bits, highlighting the zero-delay logic used in this construct.
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 17th, 2019, 11:54 am

32-bit integer multiplier, both faster and simpler than Atrubin's design:
x = 620, y = 217, rule = WireworldModern
204.C$203.C.B$204.D$204.C$204.C$204.B$204.A$204.C$204.C$204.B$204.D$
204.C$204.C$204.B$204.D$204.C$204.C$204.B$204.D$204.C$204.C$204.B$
204.D$204.C$204.C$204.B$204.D$204.C$204.C$204.B$204.D$204.C$204.C$
204.B$204.D$204.C$204.C$204.B$204.D$204.C$204.C$204.B$204.D$204.C$
204.C$204.B$204.D$204.C$204.C$204.B$204.D$204.C$204.C$204.B$204.D$
204.C$204.C$204.B$204.D$204.C$204.C$204.B$204.D$204.C$204.C$204.B$
204.D$204.C$204.C$204.B$204.D$205.2CB$197.BD2CBD.C3.D$196.C6.C.B.C$
195.C7.C2.D.C$194.D8.B.C2.B$193.B10.D.C.D$192.C13.B.C$191.C10.A2.D2.C
$190.D8.C.B.2C4.B$189.B8.A.C3.2C4.D$188.C8.B2.B2.2B6.2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB$187.C6.A.C3.A2.D.A2C.
D64.D$186.D6.B.C5.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2.C$185.B6.C2.C6.2C5.C63.C2.C$184.C6.C3.B5.2B7.BD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C2B$183.
C6.A4.A2.AC.D.A2C.D67.AD$182.D6.B5.C.B.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C$181.B6.C7.C3.2C5.C63.C
2.C.CB$180.C4.B.C8.B2.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2C2B3.BDC$179.C4.C.A9.A2.D.A2C.D67.AD5.C$178.D4.C
2.C10.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB3.2C2.AC.B2.CBA2CBD$177.B4.A3.C11.2C5.C63.C2.C.CBA.C.D2C3.C2.
C$176.C4.B4.B10.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2C2B6.B.C3.B.B2.C.DC$175.C4.C5.A7.A2.D.A2C.D67.AD6.D.C.C
.D.C2.B2.C$174.D4.C6.C4.C.B.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2C
DB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C9.B.C2.C.B2.C.B$173.B4.A7.C3.A.C3.
2C5.C63.C2.C.CB8.D6.DC2.D$172.C4.B8.B2.B2.B2.2B7.BD2CBD2CBD2CBD2CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C2B3.BDC18.C$171.C4.C9.A.C
3.A2.D.A2C.D67.AD5.C13.BD.C2.2CBA2CB$170.D4.C11.C5.2C3.C.B.CDB2CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C2.AC.B2.CBA
2CBD4.C2.C.BDC3.C2.D$169.B4.A12.C6.2C5.C63.C2.C.CBA.C.D2C3.C2.C2.C3.C
.D3.C.C2.C.BD$168.C4.B13.B5.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2C2B6.B.C3.B.B2.C.D5.B.C.C.B.C2.C2.C$167.C4.
C14.A2.A2.D.A2C.D67.AD6.D.C.C.D.C2.B8.C.D2.D.C2.C.C$166.D4.C15.C.B.2C
3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
3.2C9.B.C2.C.B2.C8.B6.BD2.B$165.B2.C.A17.C3.2C5.C63.C2.C.CB8.D6.DC20.
D$164.C2.C.B18.B2.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2C2B3.BDC35.C$163.C2.A2.A18.A2.D.A2C.D67.AD5.C34.C$
162.D2.B3.C19.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB3.2C2.AC.B2.CBA2CBD26.B$161.B2.C4.C20.2C5.C63.C2.C.CB
A.C.D2C3.C2.C26.D$160.C2.C5.B19.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C2B6.B.C3.B.B2.C.DC19.CB.C2.D2CBA2C$
159.C2.A6.A16.A2.D.A2C.D67.AD6.D.C.C.D.C2.B2.C17.C2.D.CBD3.A2.B$158.D
2.B7.C13.C.B.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB3.2C9.B.C2.C.B2.C.B16.D3.C.B3.C.C2.D.CB$157.B2.C8.C
12.A.C3.2C5.C63.C2.C.CB8.D6.DC2.D15.B5.C.D.D.C.D2.C2.D$156.C2.C9.B11.
B2.B2.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2C2B3.BDC18.C13.C8.C.B2.B.C2.D.C$155.C2.A10.A8.A.C3.A2.D.A2C.D67.
AD5.C13.BD.C2.2CBA2CB4.C10.C6.CB2.C$154.D2.B11.C7.B.C5.2C3.C.B.CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C2.AC.B2.
CBA2CBD4.C2.C.BDC3.C2.D2.D22.B$153.B2.C12.C6.C2.C6.2C5.C63.C2.C.CBA.C
.D2C3.C2.C2.C3.C.D3.C.C2.C.B23.D$152.C2.C13.B5.C3.B5.2B7.BD2CBD2CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C2B6.B.C3.B.B2.C.D
5.B.C.C.B.C2.C24.C$151.C2.A14.A4.A4.A2.AC.D.A2C.D67.AD6.D.C.C.D.C2.B
8.C.D2.D.C2.C23.C$150.D2.B15.C3.B5.C.B.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CD
B2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C9.B.C2.C.B2.C8.B6.BD24.B
$149.B2.C16.C2.C7.C3.2C5.C63.C2.C.CB8.D6.DC42.D$148.C2.C17.B.C8.B2.2B
7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C2B
3.BDC57.C$147.C2.A19.A9.A2.D.A2C.D67.AD5.C56.C$146.D2.B20.C10.2C3.C.B
.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C
2.AC.B2.CBA2CBD48.B$145.B2.C21.C11.2C5.C63.C2.C.CBA.C.D2C3.C2.C47.D$
144.C2.C22.B10.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2C2B6.B.C3.B.B2.C.DC44.C$143.C2.A23.A7.A2.D.A2C.D67.AD6.D
.C.C.D.C2.B2.C43.C$142.D2.B24.C4.C.B.2C3.C.B.CDB2CDB2CDB2CDB2CDB2CDB
2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C9.B.C2.C.B2.C.B44.B$141.B
2.C25.C3.A.C3.2C5.C63.C2.C.CB8.D6.DC2.D40.2C.D2.BA2CBDC$140.C2.C26.B
2.B2.B2.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2C2B3.BDC18.C38.D2.B.2CB3.B2.C$10.C123.C4.C2.A27.A.C3.A2.D.A2C.D
67.AD5.C13.BD.C2.2CBA2CB29.B3.D.C3.D.D2.B.2C$5.B132.D2.B29.C5.2C3.C.B
.CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB3.2C
2.AC.B2.CBA2CBD4.C2.C.BDC3.C2.D27.C5.C.B.B.C.B2.D2.B$4.C.D2CBA2CBA2CB
A2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA
2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB2.C30.C6.2C5.C63.C
2.C.CBA.C.D2C3.C2.C2.C3.C.D3.C.C2.C.BD23.C8.D.C2.C.D2.B.D$5.C133.C31.
B5.2B7.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2C2B6.B.C3.B.B2.C.D5.B.C.C.B.C2.C2.C21.D10.C6.2C2.C$.B131.B4.A32.A2.A
2.D.A2C.D67.AD6.D.C.C.D.C2.B8.C.D2.D.C2.C.C20.B22.C$C.D2CBA2CBA2CBA2C
BA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB
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B2.C8.B6.BD$222.D6.DC!

The multiplicand enters through the upper left lead and the multiplier through the lower left, with an initiation pulse arriving from the top. A binary tree distributes the multiplier across a line of Scherer AND crosses, which the initiation pulse then lets through bit-by-bit into a corresponding line of RS flip-flops. A 1 input into one of these flip-flops generates a 32-bit pulse, sent into a second line of Scherer AND crosses with the multiplicand running across the line. The partial products thus emerge from the other side, and a binary tree of adders sums these partial products into the final result.
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Freywa
 
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Location: Singapore

Re: Wireworld Modern

Postby ishanpm » January 17th, 2019, 1:32 pm

Freywa wrote:32-bit integer multiplier, both faster and simpler than Atrubin's design:


Wow, that's a good design! That's a really nice use of the signal adders. I'm used to register-based designs, so I'd probably never think of something like this.
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Re: Wireworld Modern

Postby Freywa » January 19th, 2019, 12:46 pm

My current collection of Wireworld Modern patterns is the attachment to this post. This includes a very small multiplexer and demultiplexer, the latter adapted from Karl Scherer's Wireworld collection, the former laid out using a logic gate search program:
x = 128, y = 78, rule = WireworldModern
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4.C2.C4.C6.D.C41.D.C$5.C.7C5.C2.C40.C2.C$6.2C4.C6.C3.C39.C3.C$11.C7.B
.C.C39.B.C.C$19.D2.C15.C24.D2.C16.C$19.C17.C.C23.C19.C$19.C17.C.C23.C
19.C$19.C17.C.C23.C19.C$19.C18.C24.C19.C$19.C43.C$BA2CBD2CBA2CBD4C.C.
19C4.BA2CBD2CBA2CBD3C.2C.19C31.C$18.C.C40.C2.C49.C.C$18.C.C40.C2.C49.
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41.C43.C.C9.C14.C$41.C44.C9.C.C11.2C$96.C12.C2.5CAB2CAB$97.C2.BD2CBA
6C$98.C13.C$96.C.C13.C$97.C14.C.C$112.C.C$114.C$114.C$114.C6.B2.C$66.
B17.B36.A.C.C$66.A17.D36.C.C.C$66.C14.C2.C36.C.C.C$41.C24.C13.C.C.C
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7C.C2.C20.A6.C.C8.C23.C2.BD2CBA2C2.7C$40.C2.C2.C19.C7.C9.C24.C9.2C$
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34.7C.C2.C20.A15.C3.C33.C$40.2C24.C16.3C34.D$63.C2.C6.C.BA2CBA2C37.B.
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$62.C.C.B$63.C2.D$66.C$66.C$66.B$66.D$66.C$66.C$66.B$32.C33.D$32.C33.
C$32.C33.C$32.C33.C$32.C33.C$66.C$31.BA2CBA2CBD2CBD2CBA2CBA2CBD2CBD3C
.2C.37C$64.C2.C$30.C34.C2.C$29.C.C.BA2CBD2CBA2CBD2CBA2CBD2CBA2CBD2C.
2C$29.C.C$29.C.C$30.C!

This is the search program itself:
#!/usr/bin/env python3.7
from itertools import product

mask = 0b11111111
functions = [None for q in range(16)]
for b00, b01, b10, b11 in product((0, 1), repeat=4):
    functions[b11 * 8 + b10 * 4 + b01 * 2 + b00] = lambda a, b, c00 = b00, c01 = b01, c10 = b10, c11 = b11: c00 * ((mask ^ a) & (mask ^ b)) | c01 * ((mask ^ a) & b) | c10 * (a & (mask ^ b)) | c11 * (a & b)
# f(0) = FALSE
# f(1) = NOR
# f(2) = NOTAND
# f(3) = NOT A
# f(4) = ANDNOT
# f(5) = NOT B
# f(6) = XOR
# f(7) = NAND
# f(8) = AND
# f(9) = XNOR
# f(10) = B
# f(11) = NOTOR
# f(12) = A
# f(13) = ORNOT
# f(14) = OR
# f(15) = TRUE

c = 0b00001111
a = 0b00110011
b = 0b01010101
t = 0b00110101 # target

for (i, j, k) in product(range(16), repeat=3):
    f1, f2, f3 = functions[i], functions[j], functions[k]
    if f3(b, f2(f1(b, a), c)) == t: print(i, j, k)
Attachments
wwm.zip
Wireworld Modern collection, 20 January 2019
(25.11 KiB) Downloaded 93 times
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Re: Wireworld Modern

Postby Freywa » January 20th, 2019, 10:57 am

"Fourth-generation" register bank:
x = 345, y = 149, rule = WireworldModern
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2C.B2.AB2CABC3.AB2CAB2CAB2CAB2C4.B$257.CDB.C$256.C.A.C2.46C$256.C5.2C
$257.5C!

The width of each register, including its surrounding circuitry and the in situ pulse train generators surrounding it, is only 8 cells or 2 bits, so memory reads and writes should be much faster with this design. It is about as wide as the Moore/Owen computer register bank.
Princess of Science, Parcly Taxel
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Freywa
 
Posts: 494
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 22nd, 2019, 1:46 pm

x = 1117, y = 19, rule = WireworldModern
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This is a 32-bit binary-to-BCD converter. The initiation pulse is on the bottom lead, two ticks behind the MSB of the binary number to be converted on the top lead.

Converting an n-bit number requires n − 3 modules of the following form:
x = 25, y = 20, rule = WireworldModern
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C2.C$2CB.2C3.CB3.C3.C4.BD2$6.B.C$3.2CD3.DBC$2.B9.C$3.D2CBD2CBD!

The 19-cell loop below the main body is attached to the module irregularly, in the following manner: number the first module 32, the second 64, the third 128 and so on in increasing powers of 2. A module has the loop attached iff its number starts with 1.

The double dabble method is implemented here: each module performs one iteration of "add 3 if at least 5 then shift", with the first three iterations implied in the input timing because no additions will be performed for them. The loops correspond to when the next higher decimal place is required.
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Freywa
 
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 22nd, 2019, 3:04 pm

While I'm at it, here's the delay generator for the fourth-generation register bank above:
x = 69, y = 23, rule = WireworldModern
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B$26.CBD2CBD2CBD2CBD2C!

Its mode of operation is much the same as that in the vanilla Wireworld computer, consisting of repeated decrementing of a counter until it underflows. The differences are as follows:
  • A single pulse, not a pulse train, starts the generator. Because the counter is assumed to be empty at this point, some peripheral logic that the vanilla version requires can be removed.
  • Emptying the counter happens upon the output pulse leaving the device and starting a pulse train generator inhibiting the counter loop's data.
  • Accessing the next register in the thin bank requires delaying by 16 ticks, while the counter's loops are 32 bits long – hence they consider the upper four bits of the register number. The LSB is handled by a multiplexer whose leads are OR'd together with delay, a "catch-and-release" flip-flop handling the selector line.
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Freywa
 
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 23rd, 2019, 12:37 pm

The binary-to-BCD converter folded up, with other optimisations:
x = 287, y = 176, rule = WireworldModern
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D$164.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C.B2.C
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C$158.D2.C2.B3.C3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B
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2.2CD2.C6.B7.B.C2.2CD2.C6.B7.B.C2.2CD2.B.C$159.C2.C3.D4.2CD5.C2.C.C
11.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C.C$159.D10.B
7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.C.D$159.B
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D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.B.C$159.C.B2.D.D3.C.D.D.C7.C.B2.D.D3.C.
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.B.C2.B.C8.D2.B.C.B.B.C2.B.C7.C.D$159.B2.D.C2.C.D4.C2.B6.B2.D.C2.C.D
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160.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD7.B.C$164.DC
6.C6.2C8.DC6.C6.2C8.DC6.C6.2C8.DC6.C6.2C8.DC6.C6.2C3.C.C$163.B2.C4.D.
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C$159.B3.B3.C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBD
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158.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D
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159.D2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD
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$159.C2.C3.D4.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C
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2.D.B$159.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B
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2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C7.C.D$159.B2.D.
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CD8.2C6.C6.CD7.B.C$189.DC6.C6.2C8.DC6.C6.2C8.DC6.C6.2C8.DC6.C6.2C3.C.
C$188.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B6.B2.C4.
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.C.B2.D8.C.B2.C.B.B.C.B2.D3.D.B$189.C.D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.
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The train of "check pulses" does not have to be generated as the data flows; they can all be generated from one pulse under the first module. The attachment at top-left separates the BCD digits, which will eventually drive seven-segment displays.
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 25th, 2019, 11:28 am

Driver for a seven-segment display:
x = 87, y = 106, rule = WireworldModern
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A combinational function is run for each segment, the result of which is set into a D flip-flop. I use a "Casio 7" (northwest segment lit up in 7) because it makes the corresponding logic much simpler.

Labelling the bits of the BCD digit as (MSB) DCBA (LSB), the following functions are used:
  • NW: (A NOR B) OR (C OR D)
  • N: NOT (A XOR B XOR C XOR D) OR (B OR D)
    (A XNOR C) OR (B OR D)
  • NE: (A XOR B) NAND C
  • C: (B XOR C XOR D) OR (B AND NOT A)
    ((NOT A AND B) OR (B XOR C)) OR D
  • SW: NOT A AND (B OR NOT C)
  • S: (A XOR B XOR C XOR D) NAND (A OR C)
    (A XNOR (NOT (NOT A AND B) AND (B XOR C))) OR D
  • SE: (A OR NOT B) OR C
I've played around with negating the front bits for some of the functions so as to obtain a tighter circuit. Because the Moore/Owen computer's display flickers if simply transported to Wireworld Modern, I use single-lane wires for lighting up the segments. (I could also have used converters, but regarded them as slightly impure.)

With the SSD driver done, it can be connected to the binary-to-BCD pipeline I showed earlier, completing a full 32-bit decimal display:
x = 1018, y = 227, rule = WireworldModern
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D2CBDC!
Last edited by Freywa on January 27th, 2019, 2:41 am, edited 3 times in total.
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Re: Wireworld Modern

Postby Redstoneboi » January 26th, 2019, 4:01 am

Freywa wrote:Driver for a seven-segment display:
7seg display

A combinational function is run for each segment, the result of which is set into a D flip-flop. I use a "Casio 7" (northwest segment lit up in 7) because it makes the corresponding logic much simpler.

Labelling the bits of the BCD digit as (MSB) DCBA (LSB), the following functions are used:
[list of gates for each segment]

have you considered using a ROM with a demultiplexer? or is that too large?
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Re: Wireworld Modern

Postby Freywa » January 26th, 2019, 4:54 am

Redstoneboi wrote:have you considered using a ROM with a demultiplexer? or is that too large?

  1. Even though I have a ROM shaped like the ones in the Moore/Owen computer, one which works at 4 ticks, it would still be about as large as the display itself, which looks ungainly:
    x = 92, y = 188, rule = WireWorld
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    42.B.CBACBACBACBACBACBACBACBACBA.B$36.BACB.CBACBACBACBACBACBACBACBACB
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    In contrast, my combinational approach can fit neatly on the side of a display, and also allows for tighter packing of the digits.
  2. The path from BCD digit to SSD in the Moore/Owen computer involves an intermediate unary stage, which is necessary to operate the demultiplexer controlling the ROM's input. Since I can write combinational functions for each segment, and my binary-to-BCD converter already produces BCD digits, why introduce unnecessary complexity?
  3. Wireworld was built for simplicity, but for the price of quite bulky logic gates. My modern development of it sacrifices a little of that simplicity for tightness of combinational and sequential circuits, and it feels a waste to not exploit the latter property in my designs.
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User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 26th, 2019, 4:59 am

I have also reduced the logic for some segments of my SSD:
  • N: NOT (A XOR B XOR C XOR D) OR (B OR D)
  • C: (B XOR C XOR D) OR (B AND NOT A)
  • S: (A XOR B XOR C XOR D) NAND (A OR C)
This works because the terms with XORs can be implemented as tiny T flip-flops. The SSD now looks like this:
x = 87, y = 100, rule = WireworldModern
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and the full decimal display looks like this:
x = 1018, y = 221, rule = WireworldModern
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C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B15.B$889.
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$890.D2C2.C.B7.B6.C2.D2C2.C.B7.B6.C2.D2C2.C.B7.B6.C2.D2C2.C.B7.B6.C2.
D2C2.C.B19.C$889.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B3.B
D.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C17.D$890.C.C.B.B
.C.B.C.C.C.C.B.D2.C.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C.B.C.C.C.C.B.D2.C
.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C16.B$891.C2.C2.D2.C.C.D.C.D.D.C3.C2.
C2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.
C2.C2.D16.C$890.D2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B
.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C19.C$889.B2.D7.D.D.C.D.C2.C5.D7.D.
D.C.D.C2.C5.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C2.C5.D19.D$889.C.B.2CBD2CB3.
C3.C4.BD2CB.2CBD2CB3.C3.C4.BD2CB.2CBD2CB3.C3.C4.BD2CB.2CBD2CB3.C3.C4.
BD2CB.2CBD2CBD2CBD2CBD2CB$889.C.C$889.D2.C2.B3.C3.B2CDB2C.B2CDB4.C3.C
3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CDB4.C3.C3.B2CD
B2C.B2CD$890.B.D.D.C.C.D.D7.D5.C2.C.D.C.D.D7.D5.C2.C.D.C.D.D7.D5.C2.C
.D.C.D.D7.D5.C2.C.D.C.D.D7.D4.B$890.C.B.C.C.B.B.C6.C2.DBC2.C.B.B.B.B.
C6.C2.DBC2.C.B.B.B.B.C6.C2.DBC2.C.B.B.B.B.C6.C2.DBC2.C.B.B.B.B.C6.C2.
DB2.C$890.C.C.C.D.D.C.C2.D2.C2.C3.C.D.D.C.D.C.C2.D2.C2.C3.C.D.D.C.D.C
.C2.D2.C2.C3.C.D.D.C.D.C.C2.D2.C2.C3.C.D.D.C.D.C.C2.D2.C2.C2.C2.C$
890.D.C.B.B.C.C.B.C.B.B.C.C2.D.B.C.C.C.C.B.C.B.B.C.C2.D.B.C.C.C.C.B.C
.B.B.C.C2.D.B.C.C.C.C.B.C.B.B.C.C2.D.B.C.C.C.C.B.C.B.B.C.C2.C.D$890.B
.D.D.C.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.DB3.
B.B2.C2.D.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.DB3.B.D.B$890.C.B.C.C.B6.
B.C2.2CD2.C6.B7.B.C2.2CD2.C6.B7.B.C2.2CD2.C6.B7.B.C2.2CD2.C6.B7.B.C2.
2CD2.B.C$890.C2.C3.D4.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.
C2.C.C11.2CD5.C2.C.C.C$890.D10.B7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.D
10.B7.D.D.C.D10.B7.D.D.C.C.D$890.B2.CDB2CAB2.D.C3.B3.B2.B2.CDB2CAB2.D
.C3.B3.B2.B2.CDB2CAB2.D.C3.B3.B2.B2.CDB2CAB2.D.C3.B3.B2.B2.CDB2CAB2.D
.C3.B3.B2.D.B$890.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.C.C2.
B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.B.C$
890.C.B2.D.D3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.B2.D.D
3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.C$891.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C
2.B.C8.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C7.C.D$
890.B2.D.C2.C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.B2.D.C2.
C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.D.B$891.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD
8.2C6.C6.CD8.2C6.C6.CD7.B.C$895.DC6.C6.2C8.DC6.C6.2C8.DC6.C6.2C8.DC6.
C6.2C8.DC6.C6.2C3.C.C$894.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B6.B2.C
4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B2.C.D$895.C.B2.C.B
.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C
.B2.C.B.B.C.B2.D3.D.B$895.C.D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.B.C7.C.D.D
.C3.D.D2.B.C7.C.D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.B.2CB2.C$891.D2C.D.C.B
.2CB3.B2.C.C3.D2C.D.C.B.2CB3.B2.C.C3.D2C.D.C.B.2CB3.B2.C.C3.D2C.D.C.B
.2CB3.B2.C.C3.D2C.D.C.B.2CB3.B2.C6.C$890.B3.B3.C.D2.BA2CBDC2.B2.B3.B
3.C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBDC2.B2.B3.B
3.C.D2.BA2CBDC7.D$889.C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B
10.D.C.D.D7.B15.B$889.C2.C5.D2C11.C.C2.C5.D2C11.C.C2.C5.D2C11.C.C2.C
5.D2C11.C.C2.C5.D2C16.C$890.D2C2.C.B7.B6.C2.D2C2.C.B7.B6.C2.D2C2.C.B
7.B6.C2.D2C2.C.B7.B6.C2.D2C2.C.B19.C$889.B3.BD.C.C2.D2.C.D2.C2.B.B3.B
D.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B
3.BD.C.C17.D$890.C.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C.B.C.C.C.C.B.D2.C.
C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C16.B$891.C2.
C2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.
C2.C2.D2.C.C.D.C.D.D.C3.C2.C2.D16.C$890.D2.C6.C.B.B.B.B.C2.CBD2.C6.C.
B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C19.C$889.B
2.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C2.C
5.D19.D$889.C.B.2CBD2CB3.C3.C4.BD2CB.2CBD2CB3.C3.C4.BD2CB.2CBD2CB3.C
3.C4.BD2CB.2CBD2CB3.C3.C4.BD2CB.2CBD2CBD2CBD2CBD2CB$889.C.C$889.D2.C
2.B3.C3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CDB4.C3.C
3.B2CDB2C.B2CDB4.C3.C3.B2CDB2C.B2CD$890.B.D.D.C.C.D.D7.D5.C2.C.D.C.D.
D7.D5.C2.C.D.C.D.D7.D5.C2.C.D.C.D.D7.D5.C2.C.D.C.D.D7.D4.B$890.C.B.C.
C.B.B.C6.C2.DBC2.C.B.B.B.B.C6.C2.DBC2.C.B.B.B.B.C6.C2.DBC2.C.B.B.B.B.
C6.C2.DBC2.C.B.B.B.B.C6.C2.DB2.C$890.C.C.C.D.D.C.C2.D2.C2.C3.C.D.D.C.
D.C.C2.D2.C2.C3.C.D.D.C.D.C.C2.D2.C2.C3.C.D.D.C.D.C.C2.D2.C2.C3.C.D.D
.C.D.C.C2.D2.C2.C2.C2.C$890.D.C.B.B.C.C.B.C.B.B.C.C2.D.B.C.C.C.C.B.C.
B.B.C.C2.D.B.C.C.C.C.B.C.B.B.C.C2.D.B.C.C.C.C.B.C.B.B.C.C2.D.B.C.C.C.
C.B.C.B.B.C.C2.C.D$890.B.D.D.C.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.DB3.
B.B2.C2.D.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.DB3.B.B2.C2.D.C2.D2.C.C.D
B3.B.D.B$890.C.B.C.C.B6.B.C2.2CD2.C6.B7.B.C2.2CD2.C6.B7.B.C2.2CD2.C6.
B7.B.C2.2CD2.C6.B7.B.C2.2CD2.B.C$890.C2.C3.D4.2CD5.C2.C.C11.2CD5.C2.C
.C11.2CD5.C2.C.C11.2CD5.C2.C.C11.2CD5.C2.C.C.C$890.D10.B7.D.D.C.D10.B
7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.D10.B7.D.D.C.C.D$890.B2.CDB2CAB2.D.
C3.B3.B2.B2.CDB2CAB2.D.C3.B3.B2.B2.CDB2CAB2.D.C3.B3.B2.B2.CDB2CAB2.D.
C3.B3.B2.B2.CDB2CAB2.D.C3.B3.B2.D.B$890.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B
3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B3.B2C.B.C.D.2CD3.C.C2.B
3.B2C.B.C.D.2CD3.B.C$890.C.B2.D.D3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.B2.D
.D3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.B2.D.D3.C.D.D.C7.C.C$891.D2.B.C.B.B
.C2.B.C8.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C8.D2.B.C.B.B.C2.B.C8.D2.
B.C.B.B.C2.B.C7.C.D$890.B2.D.C2.C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.B2.D.C
2.C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.B2.D.C2.C.D4.C2.B6.D.B$891.2C6.C6.CD
8.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD8.2C6.C6.CD7.B.C$920.DC6.C6.2C8.DC6.
C6.2C8.DC6.C6.2C8.DC6.C6.2C3.C.C$919.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.
D2.B6.B2.C4.D.C2.C.D2.B6.B2.C4.D.C2.C.D2.B2.C.D$920.C.B2.C.B.B.C.B2.D
8.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D8.C.B2.C.B.B.C.B2.D3.D.B$920.C.
D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.B.C7.C.D.D.C3.D.D2.
B.2CB2.C$916.D2C.D.C.B.2CB3.B2.C.C3.D2C.D.C.B.2CB3.B2.C.C3.D2C.D.C.B.
2CB3.B2.C.C3.D2C.D.C.B.2CB3.B2.C6.C$915.B3.B3.C.D2.BA2CBDC2.B2.B3.B3.
C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBDC2.B2.B3.B3.C.D2.BA2CBDC7.D$914.C.D
.D7.B10.D.C.D.D7.B10.D.C.D.D7.B10.D.C.D.D7.B15.B$914.C2.C5.D2C11.C.C
2.C5.D2C11.C.C2.C5.D2C11.C.C2.C5.D2C16.C$915.D2C2.C.B7.B6.C2.D2C2.C.B
7.B6.C2.D2C2.C.B7.B6.C2.D2C2.C.B19.C$782.C131.B3.BD.C.C2.D2.C.D2.C2.B
.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C2.D2.C.D2.C2.B.B3.BD.C.C17.D$781.C.
D15.C15.C15.C15.C15.C15.C15.C15.C3.C.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C
.B.C.C.C.C.B.D2.C.C.B.B.C.B.C.C.C.C.B.D2.C.C.B.B.C16.B$782.B133.C2.C
2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.C2.C2.D2.C.C.D.C.D.D.C3.C
2.C2.D16.C$783.D2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBD2CBA
2CBA2CBA2CBA2CBD2CBA2CBD2CBA2CBA2CBD2CBA2CBA2CBD2CBD2CBD2CBA2CBD2CBA
2CBD2CBA2CBD2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.C2.CBD2.C6.C.B.B.B.B.
C2.CBD2.C19.C$779.C137.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C2.C5.D7.D.D.C.D.C
2.C5.D19.D$778.C.BD2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CB.2C3.CB3.C3.C4.BD2CB.2CBD2CB3.C3.C4.BD2CB.2CBD2CB3.C
3.C4.BD2CB.2CBD2CBD2CBD2CBD2CB$779.D140.B.C$921.D.D$916.CDB2C2.B$915.
C7.C$916.BD2CB.C$921.D.D$916.CDB2C2.B$915.C7.C$916.BD2CB.C$921.D.D$
916.CDB2C2.B$915.C7.C$916.BD2CB.C$921.D.D$916.CDB2C2.B$915.C7.C$916.B
D2CB.C$921.D.D$916.CDB2C2.B$915.C7.C$916.BD2CB.C$921.D.D$916.CDB2C2.B
$915.C7.C$916.BD2CB.C$921.D.D$916.CDB2C2.B$915.C7.C$916.BD2CB.C$921.D
.D$916.CDB2C2.B$915.C7.C$916.BD2CBDC!
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 29th, 2019, 12:42 pm

Smaller add-one device, which I failed to think about considering its similarity to the subtract-one device:
x = 41, y = 14, rule = WireworldModern
.B$D.CBA2CBD2CBD2CBA3.D.CBD16C$.C15.C.B.C$18.CB2.D$19.BAC.B$22.C.C$
24.C$24.A$24.B$24.C$24.C$24.D$23.B.C$24.C!

This is a key component of a pipelined divider (division is certainly the hardest of the four operations to do in hardware or software). Running a live two's complementer doesn't really work out, so the idea is to run the two's complemented divisor, clone it and two's complement it the old-fashioned way (invert bits and add 1) if the probed bit at the front is 1. (This is non-restoring division.)
Princess of Science, Parcly Taxel
User avatar
Freywa
 
Posts: 494
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Wireworld Modern

Postby Freywa » January 31st, 2019, 10:03 am

The full divider construct:
x = 1722, y = 157, rule = WireworldModern
407.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CB
D2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD
2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB
26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD
2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD
2CBD2CB26.BD2CBD2CB26.BD2CBD2CB26.BD2CBD2CB$406.C9.D24.C9.D24.C9.D24.
C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D
24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.
D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D24.C9.D$406.
C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C
24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.
C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD2.C24.C2.D2CBD
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28.B.C.B.C28.B.C.B.C28.B.C.B.C28.B.C.B.C28.B.C.B.C28.B.C.B.C28.B.C.B.
C28.B.C.B.C28.B.C.B.C$412.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.
C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D
2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.
D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D
28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.D28.D2.C2.
D$412.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.
C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B
28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.B28.C5.
B28.C5.B28.C5.B28.C5.B$413.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CB
D2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C
30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CB
D2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C30.CBD2C
30.CBD2C!

This makes use of the following module:
x = 35, y = 157, rule = WireworldModern
11.BD2CBD2CB$10.C9.D$10.C2.D2CBD2.C$10.D.B5.C.C$10.B.C2.C2.C.B$10.C.C
.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$
10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.
D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.
D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C
.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C
.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$
10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.
B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.
C.D.D.D.D.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D
.C$10.D.B.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B
.B.C.C.C$10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C$
10.B.C.C.C.C.B$10.C.C.C.B.B.D$10.C.D.D.D.D.C$10.D.B.B.C.C.C2.D$10.B.C
.C.C.C.B.B.C$10.C.C.C.B.B.D.C.C$10.C.D.D.D.D.C.C.B$10.D.B.B.C.C.C.D.D
$10.B.C.C.C.C2.B2.C$10.C.C.C.B.B6.C$10.C.D.D.D.D2.C4.BD2CBDC$10.D.B.B
.C.C.C.B10.C$10.B.C.C.C.C.D2.D2CBD2CBD2.B$D2CBD2CB2.C.C.C.B2.B12.C$7.
BAC2.D.D.D5.D6.DC2.C$D2C.D.C.A2.B2.B.C4.B.C2.C.B2.C2.B$3.BAC4.C2.C2.C
2.D.C.C.D.C2.B$.C.B.2C.DC2.C3.B.B.C3.B.B2.C.D$D.C4.B3.D4.D.C.D2C3.C2.
C2.2CB$2.B.2C.D.CB6.C.B2.CBA2CBD$3.D2.B.C5.BD4.C$6.D.C4.C2.C2.C$7.C.B
3.C.D.C.D$10.D2.D2.B.B$11.C.B2.C2.C$12.CB2.3C$14.D2.D$12.CB.C.B$9.B.C
2.C.C$8.C.D6.C$D2CBDC2.C2.B.2CBD.C2.CBD2CBD2CBD2CB$6.C.D.C.D5.B.C$7.B
.C3.B4.D.D2.C$10.D2C5.C.B.C.B$9.B8.C.C.D.D2.C$CBD2CBD2C.D2CBDC2.B.C.B
.C.C.BD2CBDC$16.C.D.D.C.C.D$16.B.C.B.C2.B$16.D.C.C.D$16.C.B.C.B$16.C.
D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C
.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$
16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.
C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C
.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.
B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$
16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.
C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C
.C.D$16.C.B.C.B$16.C.D.D.C$16.B.C.B.C$16.D.C.C.D$16.C.B.C.B$16.C.D.D.
C$16.B.C.B.C$16.D2.C2.D$16.C5.B$17.CBD2C!
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Freywa
 
Posts: 494
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » February 1st, 2019, 5:39 am

The reason the divider is so slow is that division fundamentally depends on examining the highest bit(s) of a moving bitstream, but I cannot make decisions based on it without delaying the bitstream itself – and thus the other bitstreams too. As an illustration of this point, here's a sign/absolute value device (for 32-bit two's complement integers, as usual):
x = 276, y = 62, rule = WireworldModern
133.D3.C$132.B.C.C.B$132.C.C.D.D$132.C.B.B.C$132.D.D.C.C$132.B.C.C.B$
132.C.C.D.D$132.C.B.B.C$132.D.D.C.C$132.B.C.C.B$132.C.C.D.D$132.C.B.B
.C$132.D.D.C.C$132.B.C.C.B$132.C.C.D.D$132.C.B.B.C$132.D.D.C.C$132.B.
C.C.B$132.C.C.D.D$132.C.B.B.C21.B7.B$132.D.D.C.C21.B7.B$132.B.C.C.B
21.B.C3.C.B$132.C.C.D.D21.B2.C.C2.B$132.C.B.B.C21.B3.C3.B$132.D.D.C.C
21.B2.C.C2.B$132.B.C.C.B21.B.C3.C.B$132.C.C.D.D$132.C.B.B.C$132.D.D.C
.C$132.B.C.C.B12.C123.C$132.C.C.D.D$132.C.B.B.C4.D.CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD$2.C129.D.D.C.C3.B.C$.B.C
2.C123.C.B.C.C.B.2CB2.D4.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C
BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD$2.D129.C.C.D2.D2.BAC.B2.C$3.2CBA2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBA2C2.B4.B4.C3.C.C$.C131.B7.C2.C4.D$B.
2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD.CBD
2C2.C2.DB2.B25.C7.C$.D132.C5.BD.CB2.C.C24.C9.C$5.C126.BD.CB.C6.DC2.C
7.4B2.2B.B.B.2B2.C2.C3.C2.C$131.C2.B2.D.C9.D6.B5.B2.2B.2B2.B.C3.C.C3.
C$130.C5.C.B3.2CBD2CB8.3B2.B3.B.B3.B.C4.C4.C$130.D5.C.D2.D18.B.B2.2B.
B3.B.C3.C.C3.C$130.B2.C.B.C3.B14.4B3.2B.B.B3.B2.C.C3.C.C$130.C.C.A6.C
24.B$130.C2.B.C5.C21.3B$130.D2.A.C5.D$130.B3.C.B.C2.B$130.C6.D.C.C$
130.C5.C.B2.C$130.D5.C.D2.D$130.B2.C.B.C3.B$130.C.C.A6.C$130.C2.B.C5.
C$130.D2.A.C5.D$131.B2.C.B.C2.B$132.C4.D.C.C$133.C2.C.B2.C$134.D.C.D
2.D$135.B.C3.B$135.D5.C$136.2CBDC!

The long line at the top is needed to transmit the information about the last bit quickly. In contrast, I do not need to wait for any high-order bit in a gated complementing device:
x = 284, y = 35, rule = WireworldModern
159.C123.C2$15.C123.C15.D.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD$.D152.B.C$C.BD2CBD2CBD2CBA2CBA2CBA2CBA2CBA2CBA2CBA2C
BA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CB
A2CBA2CBA2CBA2CBA2CBA2CBA2CBA2CBD2CBD2CB.2CB2.D$.C149.D2.BAC.B$152.B
4.C.C$152.C2.B.C2.CD9.3C9.3C3.C7.C$152.C.C.D2.D2.B7.C3.C7.C3.C.C9.C$
152.D.C.B.B.2C12.C2.3C6.C.C2.C3.C2.C$148.C3.B2.D.C15.C2.C3.C4.C2.C3.C
.C3.C$146.D6.C3.C14.C3.C7.C3.C4.C4.C$145.C.BA2CB.2CBD14.C4.C3.C7.C3.C
.C3.C$146.C5.D17.5C2.3C4.C4.C.C3.C.C$150.CB.2C.D$149.C2.C2.B.C$148.D
5.D.C$148.B5.C.B$148.C2.A.C.D$148.C.C.B$148.D2.C.A$148.B2.B.C$148.C3.
A.C.D$148.C6.B.C$148.D5.D.C$148.B5.C.B$148.C2.A.C.D$148.C.C.B$148.D2.
C.A$148.B2.B.C$149.C2.A.C.D$150.C4.B.C$151.D2.D.C$152.B.C.B$153.C.D!
Princess of Science, Parcly Taxel
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Freywa
 
Posts: 494
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Location: Singapore

Re: Wireworld Modern

Postby Freywa » February 10th, 2019, 1:27 am

A full division circuit, complete with module folding and sign handling:
x = 817, y = 198, rule = WireworldModern
233.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C$
232.C404.B$193.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBDC2.CBD2CBD2CBD2C
BD2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC18.C
BD2CBD2CBD2CBD2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC18.CBD2CBD2CBD2CBD
2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC18.CBD
2CBD2CBD2CBD2CBD2CBDC18.CBD2CBD2CBD2CBD2CBD2CBDC2.D$192.C40.C24.C16.C
24.C16.C24.C16.C24.C16.C24.C16.C24.C16.C24.C16.C24.C16.C24.C16.C24.C
2.C$191.C2.B3.C3.B3.C3.B22.D2.B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C3.B6.B
15.D2.B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C3.B6.B15.
D2.B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C3.B6.B15.D2.
B3.C3.B3.C3.B6.B15.D2.B3.C3.B3.C10.B.C$191.D.C.D.D.C.C.D.D.C.C.D21.B.
C.D.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C
.C.D5.D15.B.C.D.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C.C.D5.D15.B.C.D
.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C.C.
D5.D15.B.C.D.D.C.C.D.D.C.C.D5.D15.B.C.D.D.C.C.D.D.C9.D.B$191.B.C.C.B.
B.C.C.B.B.C.C21.C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.C.B.B.C.C5.C
15.C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.
C.B.B.C.C5.C15.C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.C.B.B.C.C5.C15.
C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.C.B.B.C.C5.C15.C.C.C.B.B.C.C.B
.B9.C.D$191.C.D.C.C.D.D.C.C.D.D.C21.C.D.C.C.D.D.C.C.D.D.C5.C15.C.D.C.
C.D.D.C.C.D.D.C5.C15.C.D.C.C.D.D.C.C.D.D.C5.C15.C.D.C.C.D.D.C.C.D.D.C
5.C15.C.D.C.C.D.D.C.C.D.D.C5.C15.C.D.C.C.D.D.C.C.D.D.C5.C15.C.D.C.C.D
.D.C.C.D.D.C5.C15.C.D.C.C.D.D.C.C.D.D.C5.C15.C.D.C.C.D.D.C.C.D.D.C5.C
15.C.D.C.C.D.D.C.C.D2.D6.C.C$191.C.B.B.C.C.B.B.C.C.B.B21.D.B.B.C.C.B.
B.C.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.B5.B15.
D.B.B.C.C.B.B.C.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.B5.B15.D.B.B.C.C.B.B.C
.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.B5.B15.D.B
.B.C.C.B.B.C.C.B.B5.B15.D.B.B.C.C.B.B.C.C.B.C5.B.C$191.D.C.D.D.C.C.D.
D.C.C.D21.B.C.D.D.C.C.D.D.C.C.D2.D2.D15.B.C.D.D.C.C.D.D.C.C.D2.D2.D
15.B.C.D.D.C.C.D.D.C.C.D2.D2.D15.B.C.D.D.C.C.D.D.C.C.D2.D2.D15.B.C.D.
D.C.C.D.D.C.C.D2.D2.D15.B.C.D.D.C.C.D.D.C.C.D2.D2.D15.B.C.D.D.C.C.D.D
.C.C.D2.D2.D15.B.C.D.D.C.C.D.D.C.C.D2.D2.D15.B.C.D.D.C.C.D.D.C.C.D2.D
2.D15.B.C.D.D.C.C.D.D.C.C.C5.D.B$191.B.C.C.B.B.C.C.B.B.C.C21.C.C.C.B.
B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.B.B
.C.C.C.B.C15.C.C.C.B.B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.B.B.C.C.C.B.
C15.C.C.C.B.B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.B.B.C.C.C.B.C15.C.C.C
.B.B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.B.B.C.C.C.B.C15.C.C.C.B.B.C.C.
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C.D.D.D.B$150.B.C.C.D.D.C30.B.C.C.C.C3.B.C3.C.C21.C.C.C.C.C3.B.C3.C.C
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2.D.C.D2.B.C.C.C.C15.C.D.C.B.C2.D.C.D2.B.D.C.C.C.C$150.C.D.D.C.C.B30.
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C.B.C.B.C.D$150.C.C.B.B.C.C30.C.D2.C.D2.A.C5.B.C21.C.D2.C.D2.A.C5.B.C
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D.C.B.C.B.C$150.D.B.C.C.B.D30.D.C2.B.C.C.A6.C.D21.B.C2.B.C.C.A6.C.D.D
.D.D15.B.C2.B.C.C.A6.C.D.D.D.D15.B.C2.B.C.C.A6.C.D.D.D.D15.B.C2.B.C.C
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D.D.D15.B.C2.B.C.C.A6.C.C.D.D.D.B$150.B.C.C.D.D.C30.B.C2.C.B2.C.B.C3.
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2.C.B.C3.C.B.C.B.C.D$150.C.C.B.B.C.C30.C.D2.C.D5.C.D2.B.C21.C.D2.C.D
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2.C.D5.C.D2.B.C.C2.C16.C.D2.C.D5.C.D2.B.D.C2.C3.2CBD2CB$150.C.D.D.C.C
.B30.C.B2.D.C5.C.B2.D.B21.D.B2.D.C5.C.B2.D.B.B19.D.B2.D.C5.C.B2.D.B.B
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3.C.B.C2.C2.C13.D6.C.C2.C.B3.C.B.C2.C2.B13.D2.C$150.C.C.B.B.C.C30.C.D
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5.D15.C7.D.B2.D.C2.B.C5.D15.C2.C4.D.B2.D.C2.B.C5.D15.C2.C4.D.B2.D.C2.
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C4.D.B2.D.C2.B.C5.D15.C2.C4.D.B2.D.C2.B.C5.D15.D2.C.D$150.D.B.C.C.B.D
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2.B.C.C.A6.C5.C6.2C2.B.B3.B2.C2.B.C.C.A6.C5.C6.2C2.C.B2.C$150.B.C.C.D
.D.C28.B2.2C.2C.B2.C.B.C3.C4.D.C2.C.D2.B.D5.C.2C.2C.B2.C.B.C3.C4.D.C
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2.A2.C.D5.C.D2.B2.C.B.B.C.B2.D2.B.C4.B$150.C.D.D.C.C2.BD2CBD2CBD2CBD
2CBD2CBD2CBDC6.B.A.C5.C.B2.D.D.C3.D.D2.B.C.C6.D2.B.A.C5.C.B2.D.D.C3.D
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2.B.C.D2.CBD2.D$150.D.B.C.C.B35.C.B2.C2.B2.D.C.C.B.2CB3.B2.C.C.B6.2B.
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.C3.C.D2.BA2CBDC2.B2.CBDC2.C2.C$150.C.C.B.B.C11.C17.BDC2.A4.C3.C10.B
10.D5.BA2C.A4.C3.C10.B10.D5.BA2C.A4.C3.C10.B10.D5.BA2C.A4.C3.C10.B10.
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2C.A4.C3.C10.B10.D6.C2.B2.B$150.C.D.D.C.C11.D19.2CB.C.BA3.D.C5.DC2.C
10.C5.B.2CB.C.BA3.D.C5.DC2.C10.C5.B.2CB.C.BA3.D.C5.DC2.C10.C5.B.2CB.C
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DC2.C10.C7.B2.D2.D$150.D.B.C.C.B9.C.B3.2CBD2CBD2CBD2CB5.2CB2.CB3.BD2C
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$150.B.C.C.D.D8.D.C3.D14.BA2CBA.C.A2C2.CD5.DB2.D.C7.C6.BA2CBA.C.A2C2.
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B2.D.C7.C7.D2.C2.C2.C$150.C.C.B.B.C8.B2.C.B28.C4.C.C3.B2.C2.B2CDB20.C
4.C.C3.B2.C2.B2CDB20.C4.C.C3.B2.C2.B2CDB20.C4.C.C3.B2.C2.B2CDB20.C4.C
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2.C2.B2CDB9.C2.C2.B2.B$150.C.D.D.C.C8.C.D.C28.B2.CBD.C2.2C3.D.D24.B2.
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.C3.B.D5.C.C.B.C.B12.C129.E.E$179.B.B2.B2.C.D.C2.C2.C2.BD.CB.C3.C.D2.
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D$184.C2.CBD2CBD2CBD2C.D2C2.B2.D4.B3.2CBD2CBD3.CBD2CBD2CBD2C.D2C2.B2.
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7.C3.C.B$186.D2.DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC2.D2.DB2CDB2CDB5.B.2C
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B2CDB5.B.2C4.C2.DB2CDB2CDBC2.D2.DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC2.D2.
DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC2.D2.DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC
2.D2.DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC2.D25.C24.C.C.C.BD4.C.BD4.C.BD2.
C$186.C.C22.D2.C13.B.C22.D2.C13.B.C22.D2.C13.B.C22.D2.C13.B.C22.D2.C
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2.CBD2CBD2CBD2CBD2CBD2CBD25.B.D2.D2.C4.D2.C4.D2.C$186.C2.CBD2CBD2CBD
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2CBD2CBD2CBD2CB4.CBD2CBD2CBD2.C2.CBD2CBD2CBD2CBD2CBD2CB4.CBD2CBD2CBD
2.C2.CBD2CBD2CBD2CBD2CBD2CB4.CBD2CBD2CBD2.C.C48.D.B.B.2C4.B.2C4.B.2C$
186.B39.C.C39.C.C39.C.C39.C.C39.C.C39.C.C39.C.C39.C.C39.C.C39.C.C.D
48.C.C.C3.B.2C4.B.2C4.B$186.D2.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDBC
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2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDBC2.D.B48.C2.C.B3.A2.C4.A2.C2.D$186.C.
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55.CDB2CDB2CDB2CD!

Given X and Y the circuit finds Q and R such that the two listed equations hold – X = QY + R and |X| = |Q||Y| + |R|. All values are 32-bit two's complement integers.

Here are the pieces I used to construct the main body of the divider:
x = 288, y = 129, rule = WireworldModern
52.CBD2CBD2CBD2CBD2CBD2CBDC35.CBD2CBD2CBD2CBD2CBD2CBDC50.CBD2CBD2CBD
2CBD2CBD2CBDC39.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CD$51.C24.C33.C24.C
48.C24.C37.B35.B$12.B3.C3.B3.C3.B22.D2.B3.C3.B3.C3.B6.B32.D2.B3.C3.B
3.C10.B47.D2.B3.C3.B3.C3.B6.B36.D2.CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C$
11.C.D.D.C.C.D.D.C.C.D21.B.C.D.D.C.C.D.D.C.C.D5.D32.B.C.D.D.C.C.D.D.C
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36.C.C12.C4.B2.D.C3.C$11.C.C.B.B.C.C.B.B.C.C21.C.C.C.B.B.C.C.B.B.C.C.
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.C.C.C34.B12.D.D3.2C2.C.DBC2.B$11.B.B.C.C.B.B.C.C.B.B21.D.B.B.C.C.B.B
.C.C.B.B.B.C.B32.D.B.B.C.C.B.B.C.C.B.C5.B47.D.B.B.C.C.B.B.C.C.B.B.B.C
.B33.D8.BD2CB2.C2.B3.C.C4.C$11.C2.D3.C3.D3.C2.D21.B.C2.D3.C3.D3.C2.D.
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2.BD5.DC2.2CA.C.AB2CAB$11.C17.C21.C.C17.C.C.B.C32.C.C17.B5.C47.C.C17.
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.D6.C3.B6.C.C.C.C32.C.D6.C3.B6.D2.C2.C47.C.D6.C3.B6.C.C.C.C30.B3.B5.C
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.D.D28.C3.C2.2CD2.B2.CDB2CAB2.D.C3.C.BC.DB2.C2.C2.C.D$11.C.C.C.C.D.D.
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B2CDB2.C.C2.B2CDB3.BC2.B2C5.B2C2.C2.B82.B.B.C.C3.C.C17.C.C.B.C$32.C.C
.C.C.C.C.C.C.C.C.B.C57.C10.C2.CD5.C.D3.AB.C.B2C.B3.B2.D83.D.D.B.B3.C.
D6.C3.B6.C.C.C.C$32.C.D.C.B.C.B.C.B.C.B.D.B57.D10.B10.C3.C4.A.2CAB2.D
2.C84.C.C.D.D3.D.B2.D2.D.C.C.D2.D2.B.B.C.B$32.D.B.D.D.D.D.D.D.D.D.C.D
52.2CD2.B2.CDB2CAB2.D.C3.C.BC.DB2.C2.C2.C.D.2C2.C85.C.C.C.C3.B.C.B.C.
B.B.C.C.B.C.D.D.D.D$32.B.C.B.C.B.C.B.C.B.C.C.C55.B.C.C2.B3.B2C.B.C.C.
D2.B2.C2.B.C.2B6.B86.B.B.C.C3.C.C.C.C.C.D.D.C.C.C.C.C.B.C$32.C.C.C.C.
C.C.C.C.C.C.B.C52.C2.C.C.B2.D.D3.C.D.D2.B.C5.C.A.B2.D.DB2CD87.D.D.B.B
3.C.D.C.B.C.C.B.B.C.B.C.C.C.C$32.C.D.C.B.C.B.C.B.C.B.D.B53.C.C2.D2.B.
C.B.B.C2.B2.D.C5.D.C2.A2.C92.C.C.D.D3.D.B.D.D.D.C.C.D.D.D.B.B.C.B$32.
D.B.D.D.D.D.D.D.D.D.C.D53.D.D.B2.D.C2.C.D4.C3.C.B.C2.B.2C.2C.C92.C.C.
C.C3.B.C.B.C.B.B.C.C.B.C.D.D.D.D$32.B.C.B.C.B.C.B.C.B.C.C.C53.B.B2.2C
6.C5.C6.A.C.C.B2.C2.B92.B.B.C.C3.C.C.C.C.C.D.D.C.C.C.C.C.B.C$32.C.C.C
.C.C.C.C.C.C.C.B.C53.C2.C15.D5.C.B2.C.D2.B.D93.D.D.B.B3.C.D.C.B.C.C.B
.B.C.B.C.C.C.C$32.C.D.C.B.C.B.C.B.C.B.D.B54.C2.CDB2CDB2CDBC3.B5.C.A2.
D.C2.D.C93.C.C.D.D3.D.B.D.D.D.C.C.D.D.D.B.B.C.B$32.D.B.D.D.D2.D3.D2.D
.C.D55.D13.C2.C2.C.B.C3.B.C2.C.C93.C.C.C.C3.B.C.B.C.B.B.C.C.B.C.D.D.D
.D$32.B.C.B.C.B9.C.C.C56.B2CDB2CDB2CD2.D.C.C.D6.C.B2.C.B93.B.B.C.C3.C
.C.C.C.C.D.D.C.C.C.C.C.B.C$32.C.C.C.C.C3.B.C3.C.B.C68.B.B.D2.B.C5.C.D
2.B.D93.D.D.B.B3.C.D.C.B.C.C.B.B.C.B.C.C.C.C$32.C.D.C.B.C2.D.C.D2.B.D
.B65.C2.C.C.B2.D.C5.D.C2.D.C93.C.C.D.D3.D.B.D.D.D2.C3.D2.D.B.B.C.B$
32.D.B.D2.D2.C2.C.B2.D.C.D64.C.B.C.C.C3.C.B.C2.B.C2.C.C93.C.C.C.C3.B.
C.B.C.B9.C.D.D.D.D$32.B.C2.B3.C4.D.C.C.C.C64.D.D.D.D.C6.A.C.C.B2.C.B
93.B.B.C.C3.C.C.C.C.C3.B.C3.C.C.C.B.C$32.C.C2.C2.B2.C.B.C2.C.B.C64.B.
C.B.B.D5.C.B2.C.D2.B.D93.D.D.B.B3.C.D.C.B.C2.D.C.D2.B.C.C.C.C$32.C.D
2.C.D2.A.C5.B.D.B64.C.C.C.C.B5.C.A2.D.C2.D.C93.C.C.D.D3.D.B.D2.D2.C2.
C.B2.D.B.B.C.B$32.D.B2.D.C2.B.C5.D.C.D64.C.B.C.C.C2.C.B.C2.B2.C2.C.C
93.C.C.C.C3.B.C2.B3.C4.D.C.C.D.D.D.D$32.B.C2.B.C.C.A6.C.C.C64.D.D.D.D
.C.C.D4.C3.B2.C.B93.B.B.C.C3.C.C2.C2.B2.C.B.C2.C.C.C.B.C$32.C.C2.C.B
2.C.B.C3.C.B.C64.B.C.B.B.D2.B.C2.C2.D2.D.B.D93.D.D.B.B3.C.D2.C.D2.A.C
5.B.C.C.C.C$32.C.D2.C.D5.C.D2.B.D.B64.C.C.C.C.B2.D.C.D2.C.B.C.D.C93.C
.C.D.D3.D.B2.D.C2.B.C5.D.B.B.C.B$32.D.B2.D.C5.C.B2.D.C.D64.C.B.C.C.C
3.C.B3.C.C.C.C.C93.C.C.C.C3.B.C2.B.C.C.A6.C.D.D.D.D$32.B.C2.B.C6.D.C.
C.C2.2CBD2CBD2CBD52.D.D.D.D.C9.B.C.B.C.B93.B.B.C.C3.C.C2.C.B2.C.B.C3.
C.C.C.B.C$32.C.C2.C.B3.C.B.C2.C2.B13.C51.B.C.B.B.D2.D3.C2.D.D.D.B.D
93.D.D.B.B3.C.D2.C.D5.C.D2.B.C.C2.C$32.C.D2.C.D2.A.C5.B3.D2CBD2CBD2CB
2.C50.C.C.C.C.B.C.B.B.C.C.B.C.D.C93.C.C.D.D3.D.B2.D.C5.C.B2.D.B.B$32.
D.B2.D.C2.B.C5.D15.D2.B49.C.B.C.C.C.C.C.D.D.C.C.C.C.C93.C.C.C.C3.B.C
2.B.C6.D.C.C.D2.D2CBD2CBD2CB$31.B2.C2.B.C.C.A6.C5.C6.2C2.C.D49.D.D.D.
D.C.B.C.C.B.B.C.B.C.B93.B.B.C.C3.C.C2.C.B3.C.B.C2.C2.C13.D$31.C.2C2.C
.B2.C.B.C3.C4.D.C2.C.D2.B.C.C49.B.C.B.B.D.D.D.C.C.D.D.D.B.D93.D.D.B.B
3.C.D2.C.D2.A.C5.B3.CBD2CBD2CBDC2.C$31.C2.A2.C.D5.C.D2.B2.C.B.B.C.B2.
D2.B.C49.C.C.C.C.B.C.B.B.C.C.B.C.D.C93.C.C.D.D3.D.B2.D.C2.B.C5.D15.C
2.C$29.BD.D2.B.D.C5.C.B2.D.D.C3.D.D2.B.C.D2.B48.C.B.C.C.C.C.C.D.D.C.C
.C.C.C93.C.C.C.C2.B2.C2.B.C.C.A6.C5.C6.2C2.B.B$32.2B.C.B2.C2.B2.D.C.C
.B.2CB3.B2.C.C.C51.D.D.D.D.C.B.C.C.B.B.C.B.C.B93.B.B.C.C2.C.2C.2C.B2.
C.B.C3.C4.D.C2.C.D2.B.D.D$30.D.C2.C2.C2.BD.CB.C3.C.D2.BA2CBDC2.B2.CBD
48.B.C.B.B.D.D.D.C.C.D.D.D.B.D93.D.D.B2.B.C2.A2.C.D5.C.D2.B2.C.B.B.C.
B2.D2.C.C$29.BA2C.A4.C3.C10.B10.D53.C.C.C.C.B.C.B.B.C.C.B.C.D.C93.C.C
.D3.D.D2.B.A.C5.C.B2.D.D.C3.D.D2.B.C.C2.C$29.B.2CB.C.BD3.D.C9.C10.C
53.C.B.C.C.C.C.C.D.D.C.C.C.C.C93.C.C2.C4.2B.C.B2.C2.B2.D.C.C.B.2CB3.B
2.C.C.B$35.2CB2.CB3.B8.C11.CBD2C48.D.D.D.D.C.B.C.C.B.B.C.B.C.B93.B2.B
2.C.D.C2.C2.C2.BD.CB.C3.C.D2.BA2CBDC2.B2.D2C$29.BD2CBD.C.A2C2.CD9.D
64.B.C.B.B2.D2.D.C.C.D2.D2.B.D94.D2.D2.BA2C.A4.C3.C10.B10.D$42.C10.B
65.C.C.C.C6.B3.C6.D.C95.C2.C.B.2CB.C.BA3.D.C5.DC2.C10.C$42.B9.C66.C.B
.C.C17.C.C96.C2.CB5.2CB2.CB3.BD2CB2.C.C2.BD2CBDC2.CBD2C$29.BD2CBD2CBD
2CBD8.C67.D.D.D.D2.C3.D3.C3.D2.C.B97.B2.BA2CBA.C.A2C2.CD5.DB2.D.C7.C$
43.2CBD2CBD68.B.C.B.B.B.C.C.B.B.C.C.B.B.D98.D14.C4.C.C3.B2.C2.B2CDB$
119.C.C.C.C.D.D.C.C.D.D.C.C.D.C98.C13.B2.CBD.C2.2C3.D.D$119.C.B.C.C.C
.B.B.C.C.B.B.C.C.C99.CBD2CBD2CBD2C.D2C2.B2.D4.B3.2CBD2CBD3.C$119.D2.D
2.D.C.C.D.D.C.C.D.D.C.B111.C3.C.D2.B4.C12.C.C$119.B5.B.B.C.C.B.B.C.C.
B.B.D101.DB2CDB2CDB5.B.2C4.C2.DB2CDB2CDBC2.D$119.C5.C.D.D.C.C.D.D.C.C
.D.C100.C22.D2.C13.B$119.C5.C.C.B.B.C.C.B.B.C.C.C101.CBD2CBD2CBD2CBD
2CBD2CB4.CBD2CBD2CBD2.C$119.D5.D.C.C.D.D.C.C.D.D.C.B138.C.C$119.B6.B
3.C3.B3.C3.B2.D101.2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDB2CDBC2.D$120.C24.C
100.B39.B$121.CDB2CDB2CDB2CDB2CDB2CDBC102.D2CBD2CBD2CBD2CBD2CBD2CBD2C
BD2CBD2CBD2C!
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Freywa
 
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Re: Wireworld Modern

Postby Freywa » February 11th, 2019, 5:35 am

Find first set/count trailing zeros (ffs/ctz):
x = 217, y = 30, rule = WireworldModern
132.2CBD2CBD2CBD2CBD2CBDC$131.D21.C$131.B2.CDB2CDB2CDB2CDB2CDB$131.C.
C$131.C.B9.C7.C7.C7.C$131.D.D8.C.B5.C.B5.C.B5.C.B$76.2C3.2C9.C8.C10.C
7.C10.B.C8.A.A5.A.A5.A.A5.A.A$75.C4.C11.C8.C9.C9.C9.C.C5.A2.B.C2.A2.B
.C2.A2.B.C2.A2.B.C$74.4C.4C2.4C2.C3.3C2.4C.5C.C2.C3.C2.C9.C.B4.B.2C3.
CB.2C3.CB.2C3.CB.2C3.CBD45C$75.C4.C3.C6.C2.C3.C2.C6.C2.C3.C.C3.C9.D.D
4.C7.C7.C7.C6.C$75.C4.C4.3C3.C2.C6.C5.C3.C4.C4.C9.B.C.B.C3.C.B.C3.C.B
.C3.C.B.C3.C.B.C$75.C4.C7.C.C3.C3.C2.C4.C4.C3.C.C3.C9.C2.CBA2.BD.CBA
2.BD.CBA2.BD.CBA2.BD.CBA$75.C4.C3.4C2.C4.3C4.2C.5C2.C.C3.C.C10.C2.C.A
2C3.C.A2C3.C.A2C3.C.A2C3.C.A2C$131.D.2C4.B.2C4.B.2C4.B.2C4.B.2C4.B$
75.3C9.3C41.B2.D2.CD3.D2.CD3.D2.CD3.D2.CD3.D2.CD$74.C3.C3.C3.C3.C40.C
.C.BC3.2C.BC3.2C.BC3.2C.BC3.2C.BC$74.C3.C4.C2.C3.C40.C2.C4.B2.C4.B2.C
4.B2.C4.B2.C$74.C.C.C.5C.C.C.C40.D3.CDB2.DB.CDB2.DB.CDB2.DB.CDB2.DB.C
$74.C3.C4.C2.C3.C40.B6.2C6.2C6.2C6.2C3.D$74.C3.C3.C3.C3.C40.C35.B$75.
3C9.3C41.4CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2C.D$131.AD34.C$.D130.2B2.2C
AB2CAB2CAB2CAB2CAB2CAB2CAB2C2.D$B.2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CB
D2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBD3C2.B30.AB$.C128E3.C2.A2CBA2CBA2CBA2CBA2CBA2C
BA2CBA2.BC$134.A30.C3.C$135.B2CAB2CAB2CAB2CAB2CAB2CAB2CABC2.BD$54.D
111.C$53.C.BD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD2CBD
2CBD2CBD2CBD2CBD2CBD2CBA2CBD2CBD2CBD2CBD2CBD2CBD2CBDC$54.C78.4E!

When combined with a negator and a linear-population bit-reverser (which I apparently never thought of before):
x = 117, y = 25, rule = WireworldModern
48.A$47.B.C$47.C.C2.A$47.C.B.B.C$.C45.A.A.C.C2.A$C.BD2CBA2CBD2CBA2CBA
2CBD2CBA2CBA2CBA2CBD.C.A2CB2.C.C.B.B.C$.D38.2CB5.2C.A.A.C.C2.A$21.C
16.B.C.BD.C.A2.B2.C.C.B.B.C$20.C.BD2CBD2CBD2CBA2CBA4.2CB5.2C.A.A.C.C
2.A$21.D18.C3.C.BD.C.A2.B2.C.C.B.B.C$39.C2.BA4.2CB5.2C.A.A.C.C2.A$38.
B2.C2.C3.C.BD.C.A2.B2.C.C.B.B.C$39.AC2.C2.BA4.2CB5.2C.A.A.C.C2.A$42.B
2.C2.C3.C.BD.C.A2.B2.C.C.B.B.C$43.AC2.C2.BA4.2CB5.2C.A.A.C.C$46.B2.C
2.C3.C.BD.C.A2.B2.C.C.B$47.AC2.C2.BA4.2CB5.2C.A.A$50.B2.C2.C3.C.BD.C.
A2.B2.C$51.AC2.C2.BA4.2CB6.C$54.B2.C2.C3.C.BD.C3.44C$55.AC2.C2.BA4.2C
BAC$58.B2.C2.C3.C$59.AC2.C2.BA$62.B2.C$63.AC!

this can be used for count leading zeros and negated versions.
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Re: Wireworld Modern

Postby Freywa » February 22nd, 2019, 12:07 pm

After the unary-to-binary converter and the delay device for the thin register bank, here's a more conventional delay device:
x = 91, y = 48, rule = WireworldModern
84.C$83.C.D$83.B.B$83.D.C$83.C.C$83.C.D$83.B.B$83.D.C$83.C.C$83.C.D$
83.B.B$83.D.C$83.C.C$83.C.D$83.B.B$83.D.C$72.C10.C.C$71.C.D9.C.D$71.B
.B9.B.B$71.D.C9.D.C$71.C.C9.C.C$71.C.D9.C.D$71.B.B9.B.B$71.D.C9.D.C$
60.C10.C.C9.C.C$59.C.D9.C.D9.C.D$.C.5C2.3C11.C2.C3.C27.B.B9.B.B9.B.B$
2C5.C.C3.C3.C5.2C2.2C2.C27.D.C9.D.C9.D.C$.C4.C2.C7.C4.C.C2.C.C.C16.C
10.C.C9.C.C9.C.C$.C4.C2.4C2.5C.C2.C2.C.C.C15.C.D9.C.D9.C.D9.C.D$.C3.C
3.C3.C3.C3.5C.C.C.C4.B10.B.B9.B.B9.B.B9.B.B$.C3.C3.C3.C3.C6.C2.C2.2C
3.D.C9.D.C9.D.C9.D.C9.D.C$3C2.C4.3C11.C2.C3.C3.C.C.B7.C.C.B7.C.C.B7.C
.C.B7.C.C.B$35.C2.D.C6.C2.D.C6.C2.D.C6.C2.D.C6.C2.D.C$5.2E27.B3.B.C5.
B3.B.C5.B3.B.C5.B3.B.C5.B3.B.C$5.28CD.2CD.C.DB2CD.2CD.C.DB2CD.2CD.C.D
B2CD.2CD.C.DB2CD.2CD.C.D$33.C5.C5.C5.C5.C5.C5.C5.C5.C5.C2.B$34.CBD2C.
D2.C2.CBD2C.D2.C2.CBD2C.D2.C2.CBD2C.D2.C2.CBD2C.D.C$39.B2.D.C6.B2.D.C
6.B2.D.C6.B2.D.C6.B2.C$2.D34.2C3.B.B4.2C3.B.B4.2C3.B.B4.2C3.B.B4.2C3.
D$.B.C28.D.C.AC4.C.D.C.AC4.C.D.C.AC4.C.D.C.AC4.C.D.C.AC4.B$2.C16.2E8.
2CB.2CB5.C3.2CB5.C3.2CB5.C3.2CB5.C3.2CB6.C$3.BD2CBD2CBD2CBD2CBA2CBD2C
BD4.C.BD2CBD4.C.BD2CBD4.C.BD2CBD4.C.BD2CBD4.C.BD2CBDC$30.C.A11.A11.A
11.A11.A$3.BA2CBA2CBA2CBA2CBA2CBD2CBD2CB.2CBA2CBA2CB.2CBA2CBA2CB.2CBA
2CBA2CB.2CBA2CBA2CB$2.C18E$.B.C$2.D!

The output from mark to mark comes at 176 + 4N ticks, where N is a supplied binary number. The reason this can make a binary-to-unary is that a reference bit and the delayed bit can be passed into an RS flip-flop in order to generate the requisite pulse train.
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