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> Projects and Ideas > [DEAD] X to the power of...well Y 
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Hi,
another program that demonstrates my bad programming habits  it was the time when I made a lot of unuseful comments like Code: ;this line increases eax by one but if you don't let it disturb, you might even find something useful out of it. What it does it take x^y like 3^4=3*3*3*3=81 etc. but it can handle large numbers like 2^131072 and still show accurate results  I might reprogram it some day to output to a file or a textedit box
Last edited by Madis731 on 08 Sep 2006, 10:00; edited 1 time in total 

28 Feb 2006, 20:56 

Well, I've just devised a simple recursive pow function that works exclusively for integers. It is guaranteed to work faster than your average loop, because it splits an equation in the most efficient way: down the middle.
Code: pow ; I eax = x, ecx = y / O eax = x^y or ecx, ecx jnz .cont0 mov eax, 1 ret ; x^0 = 1 .cont0 cmp ecx, 1 jnz .cont1 ret ; x^1 = x .cont1 cmp ecx, 2 jnz .cont2 mul eax, eax ; x^2 = x*x ret .cont2 ; Okay, what happens is that x^y = x^y >> 1^2 * x^y & 1, ; therefore minimizing the number of necessary operations. test ecx, 1 jz .no_one push ecx eax shr ecx, 1 call pow mul eax, eax mul eax, esi pop ecx ecx ret jmp .cont .no_one push ecx shr ecx, 1 call pow ; x^y/2 * x^y/2 = x^y/2^2 mul eax, eax ; so there is no need to recalculate the value. pop ecx ret This was good exercise. Another one for the code bank. 

08 May 2006, 23:14 

You mean:
Code: pow ; I eax = x, ecx = y / O eax = x^y or ecx, ecx jnz .cont0 mov eax, 1 ret ; x^0 = 1 .cont0 cmp ecx, 1 jnz .cont1 ret ; x^1 = x .cont1 cmp ecx, 2 jnz .cont2 mul eax ; x^2 = x*x ret .cont2 ; Okay, what happens is that x^y = x^y >> 1^2 * x^y & 1, ; therefore minimizing the number of necessary operations. test ecx, 1 jz .no_one push ecx eax shr ecx, 1 call pow mul eax mul dwordesp pop ecx ecx ret ; jmp .cont .no_one push ecx shr ecx, 1 call pow ; x^y/2 * x^y/2 = x^y/2^2 mul eax ; so there is no need to recalculate the value. pop ecx ret 

10 May 2006, 08:41 

No, I mean exactly what I wrote. What you wrote won't even compile.
Anyway, peace out. 

11 May 2006, 22:12 

slightly shorter version:
Code: format pe gui power equ 7 base equ 5 mov ecx,power mov eax,base mov ebx,1 .loop shr ecx,1 jnc .skip imul ebx,eax .skip imul eax,eax or ecx,ecx jnz .loop int3 result in ebx. should work :) btw: algorithm taken from clr's 'introduction to algorithms'. interesting book! _________________ Keep coding! 

16 May 2006, 17:19 

hmmm... is this really a project?


08 Sep 2006, 08:26 

Well, no
a demonstration of some ideas at most... 

08 Sep 2006, 09:59 

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