Difference between revisions of "CSC231 Homework 6 Solution 2014"

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--[[User:Thiebaut|D. Thiebaut]] ([[User talk:Thiebaut|talk]]) 21:29, 14 November 2014 (EST)
 
--[[User:Thiebaut|D. Thiebaut]] ([[User talk:Thiebaut|talk]]) 21:29, 14 November 2014 (EST)
 
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Latest revision as of 11:09, 14 December 2014

--D. Thiebaut (talk) 21:29, 14 November 2014 (EST)


Problem #1


;;; ; f.asm
;;; ; D. Thiebaut
;;; ; A simple program with one global function that computes
;;; ; f(a) = 2*a
;;; ;
;;; ; -----------------------------------------------------------


                section .text
                global  f1

;;; ;------------------------------------------------------------
;;; ; f(x): a function that receives a parameter through
;;; ; the stack and that computes y = 2*x
;;; ; x is at [ebp+8]
;;; ; returns the result in eax.
;;; ; does not modify any of the other registers (besides eax)
;;; ;------------------------------------------------------------
f1:             push    ebp
                mov     ebp, esp
                push    eax
                mov     eax, dword[ebp+8]
                add     eax, eax
                add     eax, dword[ebp+8]
                dec     eax
                mov     dword[ebp+12], eax
                pop     eax
                pop     ebp
                ret     4


Problem #2


;;; ; f2.asm
;;; ; D. Thiebaut
;;; ; A simple program with one global function that computes
;;; ; f(a) = 2*a
;;; ;
;;; ; -----------------------------------------------------------


                section .text
                global  f2

;;; ;------------------------------------------------------------
;;; ; f(x): a function that receives a parameter through
;;; ; the stack and that computes y = 2*x
;;; ; x is at [ebp+8]
;;; ; returns the result in eax.
;;; ; does not modify any of the other registers (besides eax)
;;; ;------------------------------------------------------------
f2:             push    ebp
                mov     ebp, esp
        
                cmp     dword[ebp+8], 1
                jne     .recurse
                mov     dword[ebp+12], 1
                pop     ebp
                ret     4
                
.recurse:                
                push    eax         ; save eax
                
                push    dword 0     ; make room
                mov     eax, dword[ebp+8] ; n
                dec     eax         ; n-1
                push    eax
                call    f2          ;f2(n-1)
                pop     eax         ; n
                add     eax, dword[ebp+8] ; n+f2(n-1...)
                
                mov     dword [ebp+12], eax

                pop     eax
                pop     ebp
                ret     4


Problem #3


;;; ; f3_4.asm
;;; ; D. Thiebaut
;;; ; A simple program with one global function that computes
;;; ; f(a) = 2*a
;;; ;
;;; ; -----------------------------------------------------------


                section .text
                global  f3
                global  f4

;;; ;------------------------------------------------------------
;;; ; f3(x): a function that receives 2 parameters through
;;; ; the stack and that computes 2x + 3y
;;; ; x is at [ebp+12]
;;; ; returns the result in eax.
;;; ; does not modify any of the other registers (besides eax)
;;; ;------------------------------------------------------------
f3:             push    ebp
                mov     ebp, esp

                push    eax
                
                mov     eax, [ebp+12]
                add     eax, eax
                add     eax, [ebp+8]
                add     eax, [ebp+8]
                add     eax, [ebp+8]
        
                mov     dword[ebp+16], eax
                pop     eax
                
                pop     ebp
                ret     8

;;; ;------------------------------------------------------------
;;; ; f4(x): a function that receives a parameter through
;;; ; the stack and that computes f4(x) = 3 f3(x,3) + f3(x-1, x+1)
;;; ; y is at [ebp+8]
;;; ; returns the result in eax.
;;; ; does not modify any of the other registers (besides eax)
;;; ;------------------------------------------------------------
f4:             push    ebp
                mov     ebp, esp
                push    eax
                push    ebx
        
                push    dword 0        
                push    dword [ebp+8]
                push    dword 3
                call    f3
                pop     eax
                mov     ebx, eax
                add     ebx, eax
                add     ebx, eax
        
                push    dword 0
                mov     eax, [ebp+8]
                dec     eax
                push    eax
                mov     eax, [ebp+8]
                inc     eax
                push    eax
                call    f3
                pop     eax
                add     eax, ebx
                
                mov     dword[ebp+12], eax
                
                pop     ebx
                pop     eax
                pop     ebp
                ret     4


Problem #4


;;; ; f.asm
;;; ; D. Thiebaut
;;; ; A simple program with one global function that computes
;;; ; f(a) = 2*a
;;; ;
;;; ; -----------------------------------------------------------


                section .text
                global  f5
                global  f6

;;; ;------------------------------------------------------------
;;; ; f5(x): a function that receives 2 parameters through
;;; ; the stack and that computes 2x + 3y
;;; ; x is at [ebp+12]
;;; ; returns the result in eax.
;;; ; does not modify any of the other registers (besides eax)
;;; ;------------------------------------------------------------
f5:             push    ebp
                mov     ebp, esp
        
                cmp     dword[ebp+8], 1
                jne     .recurse
                
                mov     dword[ebp+12], 1
                pop     ebp
                ret     4

.recurse:       push    eax
                mov     eax, dword[ebp+8]
                dec     eax
                
                push    eax
                push    eax
                call    f5
                
                pop     eax
                add     eax, dword[ebp+8]
                mov     dword[ebp+12], eax
                
                pop     eax
                
                pop     ebp
                ret     4
        

;;; ;------------------------------------------------------------
;;; ; f6(x): a function that receives a parameter through
;;; ; the stack and that computes f6(x) =f5(x)+f5(x-1)+ f5(1)
;;; ; x is at [ebp+8]
;;; ;------------------------------------------------------------
f6:             push    ebp
                mov     ebp, esp

                push    eax
                push    ebx
                
                cmp     dword[ebp+8], 1
                jne     .recurse
                
                mov     eax, 1
                push    eax
                push    eax
                call    f5
                pop     dword[ebp+12]

                pop     ebx
                pop     eax
                pop     ebp
                ret     4

.recurse:
                mov     eax, dword[ebp+8]
                dec     eax
                push    eax
                push    eax
                call    f6
                pop     ebx
                
                mov     eax, dword[ebp+8]
                push    eax
                push    eax
                call    f5
                pop     eax
                add     eax, ebx
                mov     dword[ebp+12], eax
                
                pop     ebx
                pop     eax
        
                pop     ebp
                ret     4


Problem #5


    global f7
    section .text
    
f7: push    ebp
    mov     ebp, esp
    
    
    cmp     dword[ebp+8], 2
    jg      .recurse
    mov     dword[ebp+12], 1
    
    pop     ebp
    ret     4
    
.recurse:
    push    eax
    push    ebx
    
    mov     eax, dword[ebp+8]
    dec     eax
    push    eax
    push    eax
    call    f7
    pop     ebx
    
    mov     eax, dword[ebp+8]
    sub     eax, 2
    push    eax
    push    eax
    call    f7
    pop     eax
    add     eax, ebx
    mov     dword[ebp+12], eax
    
    pop     ebx
    pop     eax
    pop     ebp
    ret     4