RosettaCodeData/Task/Gray-code/EDSAC-order-code/gray-code.edsac

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[Gray code task for Rosetta Code.
EDSAC program, Initial Orders 2.]
[Library subroutine M3. Prints header at load time,
then M3 and header are overwritten.]
PFGKIFAFRDLFUFOFE@A6FG@E8FEZPF
*BINARY!!GRAY!!!!ROUND!TRIP@&
..PK [after header, blank tape and PK (WWG, 1951, p. 91)]
T64K [load at location 64 (arbitrary choice)]
GK [set @ (theta) parameter]
[Subroutine to print 5-bit number in binary.
Input: 1F = number (preserved) in low 5 bits.
Workspace: 0F, 4F.]
[0] A3F T17@ [plant return link as usual]
H19@ [mult reg := mask to remove top 4 bits]
A1F [acc := code in low 5 bits]
L32F [shift 7 left]
TF [store in workspace]
S18@ [initialize negative count of digits]
[7] T4F [update negative count]
AF LD TF [shift workspace 1 left]
CF [remove top 4 bits]
TF [store result]
OF [print character '0' or '1' in top 5 bits]
A4F A2F G7@ [inc count, loop if not yet 0]
[17] ZF [{planted} jump back to caller]
[18] P5F [addres field = number of bits]
[19] Q2047D [00001111111111111 binary]
[Subroutine to convert binary code to Gray code.
Input: 1F = binary code (preserved).
Output: 0F = Gray code.]
[20] A3F T33@ [plant return link as usual]
A1F RD TF [0F := binary shifted 1 right]
[One way to get p XOR q on EDSAC: Let r = p AND q.
Then p XOR q = (p - r) + (q - r) = -(2r - p - q).]
HF [mult reg := 0F]
C1F [acc := 0F AND 1F]
LD [times 2]
SF S1F [subtract 0F and 1F]
TF SF TF [return result negated]
[33] ZF [{planted} jump back to caller]
[Subroutine to convert 5-digit Gray code to binary.
Uses a chain of XORs.
If bits in Gray code are ghijk then bits in binary are
g, g.h, g.h.i, g.h.i.j, g.h.i.j.k where dot means XOR.
Input: 1F = Gray code (preserved).
Output: 0F = binary code.
Workspace: 4F, 5F.]
[34] A3F T55@ [plant return link as usual]
A1F UF [initialize result to Gray code]
T5F [5F = shifted Gray code, shift = 0 initialiy]
S56@ [initialize negative count]
[40] T4F [update negative count]
HF [mult reg := partial result]
A5F RD T5F [shift Gray code 1 right]
[Form 5F XOR 0F as in the previous subroutine]
C5F LD SF S5F TF SF
TF [update partial result]
A4F A2F G40@ [inc count, loop back if not yet 0]
[55] ZF [{planted} jump back to caller]
[56] P4F [address field = 1 less than number of bits]
[Main routine]
[Variable]
[57] PF [binary code is in low 5 bits]
[Constants]
[58] P16F [exclusive maximum code, 100000 binary]
[59] PD [17-bit 1]
[60] #F [teleprinter figures mode]
[61] !F [space]
[62] @F [carriage return]
[63] &F [line feed]
[Enter with acc = 0]
[64] O60@ [set teleprinter to figures]
S58@ [to make acc = 0 after next instruction]
[66] A58@ [loop: restore acc after test below]
U57@ T1F [save binary code, and pass it to print soubroutine]
[69] A69@ G@ [print binary code]
O61@ O61@ O61@ [print 3 spaces]
[74] A74@ G20@ [convert binary (still in 1F) to Gray]
AF T1F [pass Gray code to print subroutine]
[78] A78@ G@ [print Gray code]
O61@ O61@ O61@ [print 3 spaces]
[83] A83@ G34@ [convert Gray (still in 1F) back to binary]
AF T1F [pass binary code to print subroutine]
[87] A87@ G@ [print binary]
O62@ O63@ [print CR, LF]
A57@ A59@ [inc binary]
S58@ [test for all done]
G66@ [loop back if not]
O60@ [dummy character to flush teleprinter buffer]
ZF [stop]
E64Z [define entry point]
PF [acc = 0 on entry]
[end]