diff options
author | mjfernez <mjfernez@gmail.com> | 2021-10-12 20:18:28 -0400 |
---|---|---|
committer | mjfernez <mjfernez@gmail.com> | 2021-10-12 20:18:28 -0400 |
commit | 3cf128d6da667d00bb5bb659413ea55a98a02aff (patch) | |
tree | 12eb90997dfa63d65fe6da714626271272342320 /06-Sum-Square-Difference/asm/sumsq.asm | |
parent | 009ce017d99a8deb2089438381c273e8f3ea3b67 (diff) | |
download | Project_Euler_Solutions-master.tar.gz |
Diffstat (limited to '06-Sum-Square-Difference/asm/sumsq.asm')
-rw-r--r-- | 06-Sum-Square-Difference/asm/sumsq.asm | 49 |
1 files changed, 49 insertions, 0 deletions
diff --git a/06-Sum-Square-Difference/asm/sumsq.asm b/06-Sum-Square-Difference/asm/sumsq.asm new file mode 100644 index 0000000..cc9295a --- /dev/null +++ b/06-Sum-Square-Difference/asm/sumsq.asm @@ -0,0 +1,49 @@ +; Find the difference between (1+2+3+...+100)^2 and (1^2+2^2+3^2+...+100^2) +; I used another math trick here: +; The sum up to a number can be found using Gauss' Trick: +; 1 + 2 + 3 + ... + 10 -> (1+9) + (2+8) + (3+7) + (4+6) + 10 + 5 -> 5*10 +5 +; In general : (n/2)(n+1) + +extern printf +SECTION .data +flag: db "%d",10,0 ; "%d\n\0" + +SECTION .text + global main + global is_divisible + +main: + push rbp ; set up stack + mov rbp, rsp + + ; first square of sum (1+2+...100)^2 + mov rax, 50 ; sum = n/2 + mov rcx, 101 ; * (n + 1) + mul rcx + mul rax ; square it + push rax ; save it + + ; now sum the squares (1^2+2^2 ...) no short cut this time + xor r11, r11 ; This will store the sum, rcx will b n, + ; rax is just used to multiply + mov rcx, 0 ; n = 0, we add one first + +.loop inc rcx ; see? told you :) + mov rax, rcx ; move into multiply register + mul rax ; multiply by itself + add r11, rax ; add to the sum + cmp rcx, 100 + jne .loop + + pop rax ; sum of the squares is on the stack + sub rax, r11 ; take the difference, rax - r11 + ; square of the sum is bigger +.print mov rdi, flag ; arg 1 (format) + mov rsi, rax ; arg 2 (value) + mov rax, 0 ; no xmm registers + call printf wrt ..plt + pop rbp + + mov rax, 0 + ret + |