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main.s
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IMAGE_WIDTH equ 640
IMAGE_HEIGHT equ 480
IMAGE_DEPTH equ 3
IMAGE_SIZE equ IMAGE_WIDTH * IMAGE_HEIGHT * IMAGE_DEPTH
MAX_ITER equ 1023
;; ------------- sysCall
%macro sysCall 4
mov eax,%1
mov ebx,%2 ;file descriptor (stdout)
mov ecx,%3
mov edx,%4
int 0x80 ;call kernel
%endmacro
;; ------------- print
%macro print 2
sysCall 0x4,0x1,%1,%2
%endmacro
;; ------------- openFile
;; %1 = FD
;; %2 = Name
;; %3 = Length of name
%macro openFile 3
sysCall 0x5,%1,%2,%3
%endmacro
;; ------------- createFD
;; %1 = filename
%macro createFD 1
sysCall 0x8,%1,0777q,0
%endmacro
;; ------------- writeFile
;; %1 = FD
;; %2 = Data
;; %3 = Length of data
%macro writeFile 3
sysCall 0x4,%1,%2,%3
%endmacro
;; ------------- closeFile
;; %1 = FD
%macro closeFile 1
sysCall 0x6,%1,0,0
%endmacro
section .text
global _start ;must be declared for linker (ld)
_start: ;tell linker entry point
call init
print msg,len
call renderFractal
;; Create file
createFD fileName
mov r8,rax
writeFile r8d,arrayPtr, IMAGE_SIZE
closeFile r8d
;; quit
mov eax,1
int 0x80
renderFractal:
;; R9 X
;; R10 Y
;; R11 Zoom
;; R12 moveX
;; R13 moveY
xor r9d,r9d
xor r10d,r10d
loopY:
;; pr = 1.5 * (x - w / 2) / (0.5 * zoom * w) + moveX;
pxor xmm0,xmm0
pxor xmm1,xmm1
pxor xmm2,xmm2
;; (0.5 * zoom * w)
cvtsi2sd xmm0, [width] ; convert integer to double
cvtsi2sd xmm1,[zoom] ; convert integer to double
mulsd xmm0,xmm1 ; w*zoom
mulsd xmm0,[half] ; w*zom * 0.5
;; (x - w /2)
cvtsi2sd xmm1, [width] ; w / 2
divsd xmm1, [two] ;
cvtsi2sd xmm2, r9 ; x
subsd xmm2,xmm1 ; x - w/2
;; 1.5
mulsd xmm2,[oneHalf] ;
;; /
divsd xmm2,xmm0 ;
;; +
addsd xmm2,[moveX] ;
movsd [pr],xmm2
;; pi = (y - h / 2) / (0.5 * zoom * h) + moveY;
pxor xmm0,xmm0
pxor xmm1,xmm1
pxor xmm2,xmm2
;; (0.5 * zoom * h)
cvtsi2sd xmm0, [height] ; convert integer to double
cvtsi2sd xmm1,[zoom] ; convert integer to double
mulsd xmm0,xmm1 ; h*zoom
mulsd xmm0,[half] ; h*zom * 0.5
;; (x - h /2)
cvtsi2sd xmm1, [height] ; h / 2
divsd xmm1, [two] ;
cvtsi2sd xmm2, r10 ; y
subsd xmm2,xmm1 ; y - h/2
;; /
divsd xmm2,xmm0 ;
;; +
addsd xmm2,[moveY] ;
movsd [pi],xmm2
mov qword [newIm], 0
mov qword [newRe], 0
mov qword [oldIm], 0
mov qword [oldRe], 0
xor rax,rax
movsd xmm2,[four]
iter:
movsd xmm0,[newRe]
movsd qword [oldRe],xmm0
movsd xmm0,[newIm]
movsd qword [oldIm],xmm0
;; newRe = oldRe * oldRe - oldIm * oldIm + pr;
movsd xmm0,[oldRe]
mulsd xmm0,[oldRe]
movsd xmm1,[oldIm]
mulsd xmm1,[oldIm]
subsd xmm0,xmm1
addsd xmm0,[pr]
movsd [newRe],xmm0
;; newIm = 2 * oldRe * oldIm + pi;
movsd xmm0,[two]
mulsd xmm0,[oldRe]
mulsd xmm0,[oldIm]
addsd xmm0,[pi]
movsd [newIm],xmm0
;; if((newRe * newRe + newIm * newIm) > 4) break
movsd xmm0,[newRe]
mulsd xmm0,[newRe]
movsd xmm1,[newIm]
mulsd xmm1,[newIm]
addsd xmm0,xmm1
comisd xmm0,xmm2
ja iterDone
;; loop
add ax,1
cmp ax,MAX_ITER
jne iter
iterDone:
;; double z = sqrt(newRe * newRe + newIm * newIm);
;; sqrtss xmm1,xmm0
;; int brightness = 256. * log2(1.75 + i - log2(log2(z))) / log2(double(maxIterations));
;; i % 256
xor r14,r14
test ax,MAX_ITER
je escapeBlack
stop:
;; base address
mov ecx,palette
sub eax,1
xor rdx,rdx
mov rsi,1024 ; number of colors
div rsi ; div iteration, number of colors
shl rdx,2 ; mul 4 to get the address
;; base address of palette i ecx
add rcx,rdx
;// RGB
mov r14b,[ecx]
add ecx,1
shl r14,8
mov r14b,[ecx]
add ecx,1
shl r14,8
mov r14b,[ecx]
escapeBlack:
call setPipxel
add r9d,1
cmp r9d,IMAGE_WIDTH
jne loopY
xor r9d,r9d
add r10d,1
cmp r10d,IMAGE_HEIGHT
jne loopY
ret
setPixel:
;; R9 X
;; R10 Y
;; R14 color
mov eax,r10d ; Load Y
mov r15d, IMAGE_WIDTH ; Load Image Width
mul r15d
mov r15d, IMAGE_DEPTH ; Load Image depth (bytes per pixel)
mul r15d ; Y * width * depth
mov r8d,eax
mov eax,r9d ;
mul r15d ; X * width
add eax,r8d ; (X * DEPTH) + (Y * WIDTH * DEPTH)
mov [arrayPtr + eax+2],r14b
shr r14,8
mov [arrayPtr + eax+1],r14b
shr r14,8
mov [arrayPtr + eax],r14b
ret
init:
mov qword [pi], 0
mov qword [pr], 0
mov qword [oldRe], 0
mov qword [oldIm], 0
mov qword [newRe], 0
mov qword [newIm], 0
ret
section .data
two dq 2.0
four dq 4.0
width dq IMAGE_WIDTH
height dq IMAGE_HEIGHT
moveX dq 0
moveY dq 0
zoom dq 1
msg db 'Generating fractal !',0xa
len equ $ - msg
fileName db 'fractal.data',0x0
fileNameLen equ $ - fileName
oneHalf dq 1.5
half dq 0.5
palette:
db 0, 0, 255, 0
db 1, 1, 255, 0
db 1, 1, 255, 0
db 1, 1, 255, 0
db 1, 1, 255, 0
db 1, 2, 255, 0
db 2, 2, 255, 0
db 2, 2, 255, 0
db 2, 2, 255, 0
db 2, 2, 255, 0
db 2, 3, 255, 0
db 3, 3, 255, 0
db 3, 3, 255, 0
db 3, 3, 255, 0
db 3, 3, 255, 0
db 3, 4, 255, 0
db 4, 4, 255, 0
db 4, 4, 255, 0
db 4, 4, 255, 0
db 4, 5, 255, 0
db 4, 5, 255, 0
db 5, 5, 255, 0
db 5, 5, 255, 0
db 5, 5, 255, 0
db 5, 6, 255, 0
db 5, 6, 255, 0
db 6, 6, 255, 0
db 6, 6, 255, 0
db 6, 6, 255, 0
db 6, 7, 255, 0
db 6, 7, 255, 0
db 7, 7, 255, 0
db 7, 7, 255, 0
db 7, 8, 255, 0
db 7, 8, 255, 0
db 7, 8, 255, 0
db 8, 8, 255, 0
db 8, 8, 255, 0
db 8, 9, 255, 0
db 8, 9, 255, 0
db 8, 9, 255, 0
db 9, 9, 255, 0
db 9, 9, 255, 0
db 9, 10, 255, 0
db 9, 10, 255, 0
db 9, 10, 255, 0
db 10, 10, 255, 0
db 10, 11, 255, 0
db 10, 11, 255, 0
db 10, 11, 255, 0
db 10, 11, 255, 0
db 11, 11, 255, 0
db 11, 12, 255, 0
db 11, 12, 255, 0
db 11, 12, 255, 0
db 11, 12, 255, 0
db 12, 12, 255, 0
db 12, 13, 255, 0
db 12, 13, 255, 0
db 12, 13, 255, 0
db 12, 13, 255, 0
db 13, 13, 255, 0
db 13, 14, 255, 0
db 13, 14, 255, 0
db 13, 14, 255, 0
db 13, 14, 255, 0
db 14, 15, 255, 0
db 14, 15, 255, 0
db 14, 15, 255, 0
db 14, 15, 255, 0
db 14, 15, 255, 0
db 15, 16, 255, 0
db 15, 16, 255, 0
db 15, 16, 255, 0
db 15, 16, 255, 0
db 15, 16, 255, 0
db 16, 17, 255, 0
db 16, 17, 255, 0
db 16, 17, 255, 0
db 16, 17, 255, 0
db 16, 18, 255, 0
db 17, 18, 255, 0
db 17, 18, 255, 0
db 17, 18, 255, 0
db 17, 18, 255, 0
db 17, 19, 255, 0
db 18, 19, 255, 0
db 18, 19, 255, 0
db 18, 19, 255, 0
db 18, 19, 255, 0
db 18, 20, 255, 0
db 19, 20, 255, 0
db 19, 20, 255, 0
db 19, 20, 255, 0
db 19, 21, 255, 0
db 19, 21, 255, 0
db 20, 21, 255, 0
db 20, 21, 255, 0
db 20, 21, 255, 0
db 20, 22, 255, 0
db 20, 22, 255, 0
db 21, 22, 255, 0
db 21, 22, 255, 0
db 21, 22, 255, 0
db 21, 23, 255, 0
db 21, 23, 255, 0
db 22, 23, 255, 0
db 22, 23, 255, 0
db 22, 23, 255, 0
db 22, 24, 255, 0
db 22, 24, 255, 0
db 23, 24, 255, 0
db 23, 24, 255, 0
db 23, 25, 255, 0
db 23, 25, 255, 0
db 23, 25, 255, 0
db 24, 25, 255, 0
db 24, 25, 255, 0
db 24, 26, 255, 0
db 24, 26, 255, 0
db 24, 26, 255, 0
db 25, 26, 255, 0
db 25, 26, 255, 0
db 25, 27, 255, 0
db 25, 27, 255, 0
db 25, 27, 255, 0
db 26, 27, 255, 0
db 26, 28, 255, 0
db 26, 28, 255, 0
db 26, 28, 255, 0
db 26, 28, 255, 0
db 27, 28, 255, 0
db 27, 29, 255, 0
db 27, 29, 255, 0
db 27, 29, 255, 0
db 27, 29, 255, 0
db 28, 29, 255, 0
db 28, 30, 255, 0
db 28, 30, 255, 0
db 28, 30, 255, 0
db 28, 30, 255, 0
db 29, 31, 255, 0
db 29, 31, 255, 0
db 29, 31, 255, 0
db 29, 31, 255, 0
db 29, 31, 255, 0
db 30, 32, 255, 0
db 30, 32, 255, 0
db 30, 32, 255, 0
db 30, 32, 255, 0
db 30, 32, 255, 0
db 31, 33, 255, 0
db 31, 33, 255, 0
db 31, 33, 255, 0
db 31, 33, 255, 0
db 31, 33, 255, 0
db 32, 34, 255, 0
db 32, 34, 255, 0
db 32, 34, 255, 0
db 32, 34, 255, 0
db 32, 35, 255, 0
db 33, 35, 255, 0
db 33, 35, 255, 0
db 33, 35, 255, 0
db 33, 35, 255, 0
db 33, 36, 255, 0
db 34, 36, 255, 0
db 34, 36, 255, 0
db 34, 36, 255, 0
db 34, 36, 255, 0
db 34, 37, 255, 0
db 35, 37, 255, 0
db 35, 37, 255, 0
db 35, 37, 255, 0
db 35, 38, 255, 0
db 35, 38, 255, 0
db 36, 38, 255, 0
db 36, 38, 255, 0
db 36, 38, 255, 0
db 36, 39, 255, 0
db 36, 39, 255, 0
db 37, 39, 255, 0
db 37, 39, 255, 0
db 37, 39, 255, 0
db 37, 40, 255, 0
db 37, 40, 255, 0
db 38, 40, 255, 0
db 38, 40, 255, 0
db 38, 41, 255, 0
db 38, 41, 255, 0
db 38, 41, 255, 0
db 39, 41, 255, 0
db 39, 41, 255, 0
db 39, 42, 255, 0
db 39, 42, 255, 0
db 39, 42, 255, 0
db 40, 42, 255, 0
db 40, 42, 255, 0
db 40, 43, 255, 0
db 40, 43, 255, 0
db 40, 43, 255, 0
db 41, 43, 255, 0
db 41, 44, 255, 0
db 41, 44, 255, 0
db 41, 44, 255, 0
db 41, 44, 255, 0
db 42, 44, 255, 0
db 42, 45, 255, 0
db 42, 45, 255, 0
db 42, 45, 255, 0
db 42, 45, 255, 0
db 43, 45, 255, 0
db 43, 46, 255, 0
db 43, 46, 255, 0
db 43, 46, 255, 0
db 43, 46, 255, 0
db 44, 46, 255, 0
db 44, 47, 255, 0
db 44, 47, 255, 0
db 44, 47, 255, 0
db 44, 47, 255, 0
db 45, 48, 255, 0
db 45, 48, 255, 0
db 45, 48, 255, 0
db 45, 48, 255, 0
db 45, 48, 255, 0
db 46, 49, 255, 0
db 46, 49, 255, 0
db 46, 49, 255, 0
db 46, 49, 255, 0
db 46, 49, 255, 0
db 47, 50, 255, 0
db 47, 50, 255, 0
db 47, 50, 255, 0
db 47, 50, 255, 0
db 47, 51, 255, 0
db 48, 51, 255, 0
db 48, 51, 255, 0
db 48, 51, 255, 0
db 48, 51, 255, 0
db 48, 52, 255, 0
db 49, 52, 255, 0
db 49, 52, 255, 0
db 49, 52, 255, 0
db 49, 52, 255, 0
db 49, 53, 255, 0
db 50, 53, 255, 0
db 50, 53, 255, 0
db 50, 53, 255, 0
db 50, 54, 255, 0
db 50, 54, 255, 0
db 51, 54, 255, 0
db 51, 54, 255, 0
db 51, 54, 255, 0
db 51, 55, 255, 0
db 51, 55, 255, 0
db 51, 55, 255, 0
db 52, 55, 255, 0
db 52, 55, 255, 0
db 52, 56, 255, 0
db 52, 56, 255, 0
db 52, 56, 255, 0
db 53, 56, 255, 0
db 53, 56, 255, 0
db 53, 57, 255, 0
db 53, 57, 255, 0
db 53, 57, 255, 0
db 54, 57, 255, 0
db 54, 58, 255, 0
db 54, 58, 255, 0
db 54, 58, 255, 0
db 54, 58, 255, 0
db 55, 58, 255, 0
db 55, 59, 255, 0
db 55, 59, 255, 0
db 55, 59, 255, 0
db 55, 59, 255, 0
db 56, 59, 255, 0
db 56, 60, 255, 0
db 56, 60, 255, 0
db 56, 60, 255, 0
db 56, 60, 255, 0
db 57, 61, 255, 0
db 57, 61, 255, 0
db 57, 61, 255, 0
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