Tuesday 25 June 2013

Find the sum of all the multiples of 3 or 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.

Find the sum of all the multiples of 3 or 5 below 1000.

.syntax unified

.equ max3start,999
.equ max5start,995

number  .req r4
matched .req r5
sum     .req r6
max3    .req r7
max5    .req r8

.section .rodata
 .align 2
string:
 .asciz "%d\n"
.text
 .align 2
 .global main
 .type main, %function
main:
 stmfd sp!, {r4-r8, lr}
 ldr max5,   =max5start
 ldr max3,   =max3start
 ldr number, =max3start      @ start at 1000 - 1 ; numbers < 1000
 mov matched, 0
 mov sum, 0
loop:
 cmp number, max3
 bne test5

# matched a multiple of 3 - decrement max3
# add to sum and set matched to 1
 mov matched, 1
 add sum, sum, number
 subs max3, max3, 3

test5:
 cmp number, max5
 bne last

# matched a multiple of 5 - decrement max5
# add to sum and set matched to 1
 subs max5, max5, 5
 cmp matched, 1              @ have we already added it?
 addne sum, sum, number      @ if not add it to the total

last:
# decrement number and reset matched and loop
 mov matched, 0
 subs number, number, 1
 bne loop

 mov r1, sum  
 ldr r0, =string             @ store address of start of string to r0
 bl printf

 mov r0, 0
 ldmfd sp!, {r4-r8, pc}
 mov r7, 1                   @ set r7 to 1 - the syscall for exit
 swi 0                       @ then invoke the syscall from linux

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