Difference between revisions of "CSC231 Homework 3 Solutions 2014"

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(Hw3_2.asm)
(Hw3_3.asm)
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;;; ; D. Thiebaut
 
;;; ; D. Thiebaut
 
;;; ;
 
;;; ;
;;; ; displays all the number from 1 to 20 in increasing order.
+
;;; ; displays all the number from 1 to n in increasing order.
;;; ; along with ecx.
+
;;; ; along with ecx. n is provided by the user.
 +
;;; ;
 +
;;; ; Example:
 +
;;; ;
 +
;;; ; > 5
 +
;;; ; 1. ecx = 5
 +
;;; ; 2. ecx = 4
 +
;;; ; 3. ecx = 3
 +
;;; ; 4. ecx = 2
 +
;;; ; 5. ecx = 1
 
;;; ;
 
;;; ;
 
;;; ; to assemble and run:
 
;;; ; to assemble and run:
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</source>
 
</source>
 
<br />
 
<br />
 +
 
= Hw3_4.asm =
 
= Hw3_4.asm =
 
<br />
 
<br />

Revision as of 08:14, 15 October 2014

--D. Thiebaut (talk) 21:13, 29 September 2014 (EDT)




Hw3_1.asm


;;; ; Hw3_1.asm
;;; ; D. Thiebaut
;;; ;
;;; ; displays all the number from 1 to 20 in increasing order.
;;; ;
;;; ; to assemble and run:
;;; ;
;;; ;     nasm -f elf Hw3_1.asm
;;; ;     nasm -f elf 231Lib.asm
;;; ;     ld -melf_i3896 -o Hw3_1 Hw3_1.o 231Lib.o
;;; ;     ./Hw3_1
;;; ; -------------------------------------------------------------------

extern _printDec
extern _println        
extern _printString


;;;  ------------------------------------------------------------
;;;  data areas
;;;  ------------------------------------------------------------

                section .data
        
;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start

_start:


                mov     eax, 1          ; where we start
                mov     ecx, 20         ; # of times we loop
for:      

;;; display the integer at [ebx]

                call    _printDec
                call    _println
                inc     eax
                loop    for

;;;  exit

                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call


Hw3_2.asm


;;; ; Hw3_2.asm
;;; ; D. Thiebaut
;;; ;
;;; ; displays all the number from 1 to 20 in increasing order.
;;; ; along with ecx.
;;; ;
;;; ; 1. ecx = 20
;;; ; 2. ecx = 19
;;; ; 3. ecx = 18
;;; ; ...
;;; ; 19. ecx = 2
;;; ; 20. ecx = 1
;;; ;
;;; ; to assemble and run:
;;; ;
;;; ;     nasm -f elf Hw3_2.asm
;;; ;     nasm -f elf 231Lib.asm
;;; ;     ld -melf_i3896 -o Hw3_2 Hw3_2.o 231Lib.o
;;; ;     ./Hw3_2
;;; ; -------------------------------------------------------------------

extern _printDec
extern _println        
extern _printString


;;;  ------------------------------------------------------------
;;;  data areas
;;;  ------------------------------------------------------------

                section .data
msg             db      ". ecx = "
MSGLEN          equ     $-msg
temp            dd      0
count           dd      1
        
;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start

_start:


                mov     eax, 1          ; where we start
                mov     ecx, 20         ; # of times we loop
        
for:            mov     dword[temp], ecx

;;; display the counter first

                mov     eax, dword[count]
                call    _printDec
                inc     eax
                mov     dword[count], eax

;;; display the string ". ecx = "

                mov     ecx, msg
                mov     edx, MSGLEN
                call    _printString

;;; print ecx
                mov     ecx, dword[temp]
                mov     eax, ecx
                call    _printDec
                call    _println
                loop    for

;;;  exit

                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call


Hw3_3.asm


;;; ; Hw3_3.asm
;;; ; D. Thiebaut
;;; ;
;;; ; displays all the number from 1 to n in increasing order.
;;; ; along with ecx.  n is provided by the user.
;;; ;
;;; ; Example:
;;; ;
;;; ; > 5
;;; ; 1. ecx = 5
;;; ; 2. ecx = 4
;;; ; 3. ecx = 3
;;; ; 4. ecx = 2
;;; ; 5. ecx = 1
;;; ;
;;; ; to assemble and run:
;;; ;
;;; ;     nasm -f elf Hw3_3.asm
;;; ;     nasm -f elf 231Lib.asm
;;; ;     ld -melf_i3896 -o Hw3_3 Hw3_3.o 231Lib.o
;;; ;     ./Hw3_3
;;; ; -------------------------------------------------------------------

extern _printDec
extern _println        
extern _printString
extern _getInput

;;;  ------------------------------------------------------------
;;;  data areas
;;;  ------------------------------------------------------------

                section .data
prompt          db      "> "        
msg             db      ". ecx = "
MSGLEN          equ     $-msg
temp            dd      0
count           dd      1
        
;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start

_start:
;;; get number of time we need to loop
                mov     ecx, prompt
                mov     edx, 2
                call    _printString
        
                call    _getInput
                mov     ecx, eax

                mov     eax, 1          ; where we start
        
for:            mov     dword[temp], ecx

;;; display the counter first

                mov     eax, dword[count]
                call    _printDec
                inc     eax
                mov     dword[count], eax

;;; display the string ". ecx = "

                mov     ecx, msg
                mov     edx, MSGLEN
                call    _printString

;;; print ecx
                mov     ecx, dword[temp]
                mov     eax, ecx
                call    _printDec
                call    _println
                loop    for

;;;  exit

                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call


Hw3_4.asm


;;; ; Hw3_4.asm
;;; ; D. Thiebaut
;;; ;
;;; ; displays all the number from 1 to 20 in increasing order.
;;; ; along with ecx.
;;; ;
;;; ; to assemble and run:
;;; ;
;;; ;     nasm -f elf Hw3_4.asm
;;; ;     nasm -f elf 231Lib.asm
;;; ;     ld -melf_i3896 -o Hw3_4 Hw3_4.o 231Lib.o
;;; ;     ./Hw3_4
;;; ; -------------------------------------------------------------------

extern _printDec
extern _println        
extern _printString
extern _getInput

;;;  ------------------------------------------------------------
;;;  data areas
;;;  ------------------------------------------------------------

                section .data

        
;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start

_start:
                mov     ecx, 40-2
                mov     ebx, 1                  ; Fib[i-1]
                mov     edx, 1                  ; Fib[i-2]
                mov     eax, 1                  ; Fib[i] is eax
                call    _printDec               ; print 1
                call    _println
                call    _printDec               ; print 1
                call    _println


for:    
                mov     eax, ebx                ; eax <- Fib[i-1]
                add     eax, edx                ; eax <- FIb[i-1]+Fib[i-2]
                call    _printDec               ; print Fib[i]
                call    _println
                mov     edx, ebx
                mov     ebx, eax
                loop    for
;;;  exit
                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call


Hw3_5.asm


;;; ; Hw3_4.asm
;;; ; D. Thiebaut
;;; ;
;;; ; displays all the number from 1 to 20 in increasing order.
;;; ; along with ecx.
;;; ;
;;; ; to assemble and run:
;;; ;
;;; ;     nasm -f elf Hw3_4.asm
;;; ;     nasm -f elf 231Lib.asm
;;; ;     ld -melf_i3896 -o Hw3_4 Hw3_4.o 231Lib.o
;;; ;     ./Hw3_4
;;; ; -------------------------------------------------------------------

extern _printDec
extern _println        
extern _printString
extern _getInput

;;;  ------------------------------------------------------------
;;;  data areas
;;;  ------------------------------------------------------------

                section .data
Fibo            db      "Fibonacci("
FIBOLEN         equ     $-Fibo
equal           db      ") ="
EQUALLEN        equ     $-equal
counter         dd      2        
temp            dd      0               ; holds ecx as loop counter
        
;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start

_start:

;;; display Fibonacci(0) =1
        
                mov     ecx, Fibo
                mov     edx, FIBOLEN
                call    _printString
                mov     eax, 0                  
                call    _printDec               
                mov     ecx, equal
                mov     edx, EQUALLEN
                call    _printString
                mov     eax, 1
                call    _printDec
                call    _println

;;; display Fibonacci(1) =1
        
                mov     ecx, Fibo
                mov     edx, FIBOLEN
                call    _printString
                mov     eax, 1                  ; Fib[i] is eax
                call    _printDec               ; print 1
                mov     ecx, equal
                mov     edx, EQUALLEN
                call    _printString
                mov     eax, 1
                call    _printDec
                call    _println

                mov     esi, 1                  ; esi is Fib[i-1]
                mov     edi, 1                  ; edi is Fib[i-2]
                mov     ecx, 40-2
for:
                mov     dword[temp], ecx
;;; print Fibonacci(
                mov     ecx, Fibo
                mov     edx, FIBOLEN
                call    _printString
;;; print i
                mov     eax, dword[counter]
                inc     dword[counter]
                call    _printDec

;;; print )=
                mov     ecx, equal
                mov     edx, EQUALLEN
                call    _printString
        
                mov     eax, esi                ; eax <- Fib[i-1]
                add     eax, edi                ; eax <- FIb[i-1]+Fib[i-2]
        
                call    _printDec               ; print Fib[i]
                call    _println
                mov     edi, esi
                mov     esi, eax
                mov     ecx, dword[temp]
                loop    for
;;;  exit
                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call




Hw3_6


Here's a very quick way of generating some Fibonacci terms:

;;; mostFibs.asm
;;; D. Thiebaut
;;; A very quick program (except for the IO operations that computes and displays 22 Fibonacci numbers)
;;;
extern          _println
extern          _printDec        


;;;  ------------------------------------------------------------
;;;  code area
;;;  ------------------------------------------------------------

                section .text
                global  _start
_start: 
                mov     ebx, 1  ; ebx will contain Fib(n-1)
                mov     edx, 1  ; edx will contain Fib(n-2)

                mov     eax, 1  ; print first 2 fibs
                call    _printDec
                call    _println
        
                call    _printDec
                call    _println
        
;;; compute and print 20 more fibs        
                mov     ecx, 20
for:    
                ;mov     eax, ebx ; compute Fib(n):  get Fib(n-1)
                add     eax, edx ; Fib(n-1) + Fib(n-2)
        
                call    _printDec
                call    _println

                mov     edx, ebx  ; Fib(n-2) gets Fib(n-1)
                mov     ebx, eax  ; Fib(n-1) gets Fib(n)
                loop    for

;;;  exit()
theEnd: 
                mov     eax,1
                mov     ebx,0
                int     0x80    ; final system call


We see that we need 4 instructions to compute a new term of the fibonacci sequence (we remove the printing of the terms, since we are interested in only computing the Fibonacci terms, not printing them).

The processor runs at 2.5 GHz. So a cycle takes 0.4 nanoseconds. 4 instructions take 4 x 0.4 ns = 1.6 ns. So, in 1 second, we could compute 1 sec / 1.6 ns = 1E9 / 1.6 = 625 million terms, or, roughly, 1/2 a billion terms.