RAM Model of Computation
- INC Ri, increment the contents of register Ri by 1.
- DEC Ri, decrement the contents of register Ri by 1; keep Ri unchanged if Ri is 0.
- CLR Ri, set the contents of register Ri to 0.
- MOV Ri Rj, replace the contents of register Ri by the contents of Rj, leaving Rj the same.
- JMP N, next instruction to execute is set to the one with label N.
- Rj JMP N, if contents of Rj is 0 the next instruction to execute is set to the one with label N, otherwise the instruction that follows executes as usual.
- CONTINUE, do nothing.
It is possible to use a register (in the second part of the program) without assigning it a value in the first part of the program. Such registers should be assumed to have a value of 0.
An example of a RAM program is shown below (p1.ram):
# Program to add two numbers # inputs are in r1 and r2 # output, as always, is in r1 # # initialize input registers r1 = 9 R2 = 3 # # begin program n0: R2 JMP N1 INC R1 DEC R2 JMP N0 N1: CONTINUEThe execution of a RAM program starts with the assignment of values to registers and then executing the instructions in the second part one at a time in sequence. The sequence may be altered by one of the the JMP instructions. The RAM program terminates when it executes the CONTINUE instruction.
Write a Python program that executes a RAM program stored in a file whose name is provided as command line input. An optional -d command line parameter may be provided to execute the RAM program in debug mode in which each instruction that is executed is displayed. Two sample runs are shown below:
Mac-mini:ram raj$ python3 RAM.py p1.ram Input: R1 ==> 9 R2 ==> 3 Output: R1 = 12 Mac-mini:ram raj$ python3 RAM.py -d p1.ram Input: R1 ==> 9 R2 ==> 3 Executing: N0: R2 JMP N1 Executing: INC R1 Executing: DEC R2 Executing: JMP N0 Executing: N0: R2 JMP N1 Executing: INC R1 Executing: DEC R2 Executing: JMP N0 Executing: N0: R2 JMP N1 Executing: INC R1 Executing: DEC R2 Executing: JMP N0 Executing: N0: R2 JMP N1 Executing: N1: CONTINUE Output: R1 = 12 Mac-mini:ram raj$
Dictionaries to the rescue!!
To solve this assignment, we will resort to the dictionary data structure of Python. In particular, we will record the values of registers, the instruction number for labels, and inner details of individual instructions in dictionaries. Here are the three variables that you would have to construct and manipulate in the program:registers = {'R1': 9, 'R2': 3} code = [ {'labeldef': 'N0', 'opcode': 'CJMP', 'register1': 'R2', 'jmplabel': 'N1'}, {'opcode': 'INC', 'register1': 'R1'}, {'opcode': 'DEC', 'register1': 'R2'}, {'opcode': 'UJMP', 'jmplabel': 'N0'}, {'labeldef': 'N1', 'opcode': 'CONTINUE'} ] labels = {'N0': 0, 'N1': 4}
Few RAM programs for your testing purposes:
$ more p1.ram # Program to add two numbers # inputs are in r1 and r2 # output, as always, is in r1 # # initialize input registers r1 = 9 R2 = 3 # # begin program n0: R2 JMP N1 INC R1 DEC R2 JMP N0 N1: CONTINUE $ more p2.ram R1 = 19 R2 = 3 MOV R3 R2 N1: R1 JMP N4 MOV R2 R3 N2: R2 JMP N3 DEC R1 DEC R2 R1 JMP N4 JMP N2 N3: INC R4 JMP N1 N4: R2 JMP N5 MOV R1 R4 CONTINUE N5: INC R4 MOV R1 R4 CONTINUE $ more p3.ram R1 = 3 R2 = 5 MOV R3 R1 N1: DEC R2 R2 JMP N4 MOV R6 R3 MOV R5 R1 N2: DEC R5 R5 JMP N1 MOV R4 R6 N3: R4 JMP N2 INC R3 DEC R4 JMP N3 N4: MOV R1 R3 CONTINUE $ more p4.ram r3 = 9 r2 = 3 n1: inc r1 dec r2 r2 jmp n3 n2: inc r1 dec r3 r3 jmp n2 n3: continuep1.ram, p2.ram, p3.ram, p4.ram.
Submit: RAM.py