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Ackermann Function

Discussion in 'Assembly Language Programming (ALP) Forum' started by final_semester, Sep 23, 2009.

  1. final_semester

    final_semester New Member

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    Can anyone help me in writing Ackermann Function function in assembly language. I'm using MIPS and the function needs to be Recursive.

    h**p://img41.imageshack.us/img41/9972/akermannfunction.jpg
     
  2. nimesh

    nimesh New Member

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    go easy on the fonts buddy
     
  3. xpi0t0s

    xpi0t0s Mentor

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    We won't write it for you. How far have you got and where are you stuck?
     
  4. final_semester

    final_semester New Member

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    here guys I was able to write the C program .. but m having trouble writing the MIPS version of it... I'm having difficulty using the stack pointer and what not...

    this is what I have so far
    C code
    Code:
    #include<stdio.h>
    #include<conio.h>
    
    int AckFun(int,int);
    
    void main()
    {
        int result,m,n;
    
        clrscr();
        printf("Enter the positive integer values of m and n : ");
        scanf("%d %d",&m,&n);
        
        result=AckFun(m,n);
    
        printf("\nThe value of A(%d,%d) = %d",m,n,result);
        getch();
    }
    
    int AckFun(int m,int n)
    {
       int send;
    
       if(m==0)
       {
          if(n==0)
    	 send=1;
          else
    	 send=n+1;
       }
       else if(n==0)
          send=AckFun(m-1,1);
       else
          send=AckFun(m-1,AckFun(m,n-1));
       return=send;
    }
    MIPS code
    Code:
    
    main: 
    	li $so, 3	# m = s0 = a0
    	li $s1, 3	# n = s1 = a1
    		
    	add $a0, $s0, 0
    	add $a1, $s1, 0
    	jal ackermann		
    
    	move $a0, $v0
    	li $v0, 1
    	syscall
    
    	li	$v0, 10
    	syscall
    
    ackermann:
    
    	addi $sp, $sp, -8
    	sw $s0, 4($sp)
    	sw $ra, 0($sp)
    
    case_one: bne $a0, 0, case_two
    
     
  5. final_semester

    final_semester New Member

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    this is how far I have reached

    Code:
    main: 
    	li $a0, 3	# m = a0
    	li $a1, 3	# n = a1
    		
    	jal ackermann		
    
    	move $a0, $v0
    	li $v0, 1
    	syscall
    
    	li	$v0, 10
    	syscall
    
    ackermann:
    	
    	addi $sp, $sp, -8
    	sw $ra, 4($sp)
    	sw $a1,	0($sp)
    	
    
    	bne $a0, 0, other
    	add $v0, $a0, 1
    
    	lw $ra, 4($sp)
    	addi $sp, $sp, 8
    	
    	jr $ra
    
    other:
    
    	bne $a1, 0, other_two
    	addi $a0, $a0, -1
    	jal ackermann
    
    other_two:
    		
    	addi $a1, $a1, -1
    	jal ackermann
    
    	addi $a1, $v0, 0
    	addi $a0, $a0, -1 
    	
    	jal ackermann
     
  6. final_semester

    final_semester New Member

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    k..now m stuck here

    Code:
    main: 
    	li $a0, 3	# m = 3
    	li $a1, 3	# n = 3
    		
    	jal ackermann		
    
    	move $a0, $v0
    	li $v0, 1
    	syscall
    
    	li	$v0, 10
    	syscall
    
    ackermann:
    	
    	addi $sp, $sp, -12		# creating space on the stack (3 columns)
    	sw $a0, 4($sp)			# saving origional m
    	sw $a1, 8($sp)			# saving origional n
    [COLOR="Yellow"]	sw $ra, 0($sp)			# saving origional caller return address           ERROR ON THIS LINE[/COLOR]
    	
    case_one:					# m = 0
    	
    	bne $a0, 0, case_two
    	add $v0, $a1, 1
    	
    	j exit
    
    
    case_two:					# n = 0
    
    	bne $a1, 0, case_three
    	addi $a0, $a0, -1
    	li $a1, 1
    
    	jal case_one
    
    
    case_three:					 
    		
    	addi $a1, $a1, -1
    	jal ackermann
    
    	addi $a1, $v0, 0
    	addi $a0, $a0, -1 
    	
    	jal case_one
    
    exit:
    
    	lw $ra, 0($sp)
    	addi $sp, $sp, 12	
    	jr $ra
    
     
  7. xpi0t0s

    xpi0t0s Mentor

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    Well, if you're in your final semester, you should already know that the exact error message is rather essential in helping identifying the cause of the problem. So why not tell us what the error message is instead of just saying "error on this line".
     
  8. final_semester

    final_semester New Member

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    my expertise is not in programming but in analog circuit designing, DSP etc... I dont want the solution, just a better explanation why's there a error on that line
     
  9. xpi0t0s

    xpi0t0s Mentor

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    Well, how do we know if we don't know what the error is.

    OK, let me say it straight. TELL US THE ERROR.
     
  10. final_semester

    final_semester New Member

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    main:
    li $a0, 3 # m = 3
    li $a1, 3 # n = 3

    jal ackermann

    move $a0, $v0
    li $v0, 1
    syscall

    li $v0, 10
    syscall

    ackermann:

    addi $sp, $sp, -12 # creating space on the stack (3 columns)
    sw $a0, 4($sp) # saving origional m
    sw $a1, 8($sp) # saving origional n
    sw $ra, 0($sp) # saving origional caller return address ERROR HERE

    case_one: # m = 0

    bne $a0, 0, case_two
    add $v0, $a1, 1

    j exit


    case_two: # n = 0

    bne $a1, 0, case_three
    addi $a0, $a0, -1
    li $a1, 1

    jal case_one


    case_three:

    addi $a1, $a1, -1
    jal ackermann

    addi $a1, $v0, 0
    addi $a0, $a0, -1

    jal case_one

    exit:

    lw $ra, 0($sp)
    addi $sp, $sp, 12
    jr $ra
     
  11. xpi0t0s

    xpi0t0s Mentor

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    Where did the error occur? (I'm asking this, because I've asked "What is the error" twice now and got the answer to "Where did the error occur?" each time. So I'm working on the assumption that the questions "What was the error" and "Where did the error occur" are somehow transposed in your brain, and that asking the other question will get the answer I'm actually interested in.)
     
  12. final_semester

    final_semester New Member

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    the error occurred when I was running this code in MARS 3.5 java based simulator
     
  13. xpi0t0s

    xpi0t0s Mentor

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    OK I give up. No idea.
     
  14. final_semester

    final_semester New Member

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    ERROR:
    Code:
    Go: running ackermann.asm
    
    Error in ackermann.asm line 22: Runtime exception at 0x0040002c: address out of range 0x7fbffffc
    
    Go: execution terminated with errors.
     
  15. final_semester

    final_semester New Member

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    I think for some reason its going in an infinite loop.... not sure though.. :S
     

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