un petit visualiseur de la fonction de Mandelbrot
il est tres rapide, les calculs sont fait en ASM (merci Manababel !)
il est multithread
en appuyant sur [F1] vous aurez même droit à une visite guidée !
enlever le débogueur !!
et activer la gestion des treads dans les options de compilation (pas nécéssaire chez moi ??)
Code : Tout sélectionner
EnableExplicit
Global limit=255,ex=1280,ey=720, i,x,y,z,b,dx,dy,pass=-1,cpt=4,t
Global.d apx,px, apy,py,ascale,scale
Global Dim pal.l(limit)
Global Dim Bmp.l(ey - 1, ex - 1)
Global ndt=CountCPUs(#PB_System_ProcessCPUs )
Global Dim Thread(ndt)
Procedure ColorBlend(color1.l, color2.l, blend.f)
Protected r.w,g.w,b.w,a.w
r= Red(color1) + (Red(color2) - Red(color1)) * blend
g=Green(color1) + (Green(color2) - Green(color1)) * blend
b= Blue(color1) + (Blue(color2) - Blue(color1)) * blend
a=Alpha(color1) + (Alpha(color2) - Alpha(color1)) * blend
ProcedureReturn RGBA(r,g,b,a)
EndProcedure
Procedure InitPalette(n=16,Cont=0)
Protected i,j,c1,c2
c2=Random($ffffff)
For j = 0 To limit/n
If Cont:c1=c2:Else:c1=Random($ffffff):EndIf
c2=Random($ffffff)
For i=0 To n-1
pal(j*n+i) =ColorBlend(c1,c2, i/ n) | $ff000000
Next
Next
pal(limit) = $ff000000
EndProcedure
Procedure mandelbrotx4(a.d,b.d,scale.d,Array col.q(1))
Protected cp.q,fo.d,add.q, i,t,c
Protected infinity.f=4
Dim tab.d(4)
cp=limit
fo=infinity
add=1
For i=0 To 3
tab(i)=a
a+scale
Next
t=@tab()
c=@col()
!mov rdx,[p.v_t]
!VPBROADCASTQ ymm8,[p.v_add] ;1 1 1 1
!VBROADCASTSD ymm7,[p.v_fo] ; 4 4 4 4
!vmovupd ymm0,[rdx] ; a1 a2 a3 a4
!VBROADCASTSD ymm1,[p.v_b] ; b b b b
!vmovupd ymm2,ymm0 ; c=a
!vmovupd ymm3,ymm1 ; d=b
!vpxor ymm9,ymm9,ymm9
!xor rax,rax
!boucle:
!vmovupd ymm4,ymm0
!vmovupd ymm5,ymm1
!vmulpd ymm4,ymm4,ymm4 ; aa = a * a
!vmulpd ymm5,ymm5,ymm5 ; bb = b * b
!vmovupd ymm6,ymm4
!vaddpd ymm6,ymm6,ymm5
;If (aa + bb) > 4.0:Goto fin:EndIf
!vcmpltpd ymm6,ymm6,ymm7
!vmovmskpd rcx,ymm6
!vandpd ymm6,ymm6,ymm8 ; and 1
!vpaddq ymm9,ymm9,ymm6 ; add 1
!Or rcx,rcx
!jz fin
;x1 = 2 * x0 * x1 + x3
!vmulpd ymm1,ymm1,ymm0 ; b*a
!vaddpd ymm1,ymm1,ymm1 ; (a*b)*2
!vaddpd ymm1,ymm1,ymm3 ; (a*b*2)+d
;x0 = x4 - x5 + c
!vmovupd ymm0,ymm4 ; a = aa
!vsubpd ymm0,ymm0,ymm5 ; a = aa - bb
!vaddpd ymm0,ymm0,ymm2 ; a = aa - bb + c
!inc rax
!cmp rax,[p.v_cp]
!jb boucle
!fin:
!mov rdx,[p.v_c]
!vMOVDQU [rdx],ymm9
!VZEROALL
EndProcedure
Procedure mandelbrot(num)
Protected i,j,di,dj,jdeb,jfin ,x.d,y.d
Dim col.q(4)
jdeb=ey/ndt*num
jfin=ey/ndt*(num+1)
di=pass & 1
dj=pass >>1
For j=jdeb+dj To jfin-1 Step 2
y=py+(j -ey/2)*scale
x=px+(di-ex/2)*scale
For i=di To ex-1 Step 8
mandelbrotx4(x, y,scale*2,col())
bmp(j,i+0)=pal(col(0))
bmp(j,i+2)=pal(col(1))
bmp(j,i+4)=pal(col(2))
bmp(j,i+6)=pal(col(3))
x+scale*8
Next
Next
EndProcedure
InitSprite()
InitKeyboard()
InitMouse()
OpenWindow(0, 0, 0,ex,ey, " Mandelbrot - Use mouse + wheel - LMB to change colors - [F1] Animation (clic to stop) - [Esc] Quit",#PB_Window_ScreenCentered):OpenWindowedScreen(WindowID(0), 0, 0, ex, ey)
;OpenScreen(ex,ey,32,"")
InitPalette()
scale=2/ey
Structure d3
x.d
y.d
z.d
EndStructure
Define auto=0,n,speed.f=0.01,ncible=-1
Dim cible.d3(100)
Macro defcible(vx,vy,vz)
ncible+1
cible(ncible)\x=vx
cible(ncible)\y=vy
cible(ncible)\z=vz
EndMacro
defcible(0,0,scale)
defcible(-1.74824670606330,-0.00000929287120,0.0000000000004)
defcible(-1.47371049186618,-0.00118606043680,0.00000000000402)
defcible(-0.10494709460288,0.92785703871758,0.00000000000002)
defcible(-0.17030719754610,-1.04455558192402,0.00000000000002)
defcible(-1.02351647109090,-0.28038897116474,0.000000000000003)
defcible(-1.24608830915113,-0.32550803613228,0.000000000000072)
defcible(-1.25403231646337,0.38483487689992,0.000000000000183)
defcible(-1.24165790231311,0.32354681010716,0.00000000000001)
defcible(0.39271500274068,-0.36734653571715,0.000000000000044)
defcible(-1.48126951978746,-0.00269131747118,0.00000000000004)
defcible(-1.99909584429894,-0.00000007963938,0.00000000000090)
n=Random(ncible,1)
CreateSprite(0,32,32):StartDrawing(SpriteOutput(0)):LineXY(0,15,31,15,$ffffffff):LineXY(15,0,15,31,$ffffffff):StopDrawing()
MouseLocate(ex/2,ey/2)
Repeat
WindowEvent()
ExamineMouse()
ExamineKeyboard()
If MouseButton(2):InitPalette():cpt=4:EndIf
If MouseButton(3):SetClipboardText("defcible("+StrD(px,14)+","+StrD(py,14)+","+StrD(scale,14)+")"):End:EndIf
ascale=scale
apx=px
apy=py
If auto
If Abs(Log(scale)-Log(cible(n)\z))<0.1:If n:n=0:Else:n=Random(ncible,1):InitPalette():EndIf:Debug n:EndIf
px+(cible(n)\x-px)*speed*1.1
py+(cible(n)\y-py)*speed*1.1
scale+(cible(n)\z-scale)*speed
If MouseButton(1):auto=0:EndIf
Else
x=MouseX()
y=MouseY()
scale=scale*(1-0.1*MouseWheel())
px-(x-ex/2)*(scale-ascale)
py-(y-ey/2)*(scale-ascale)
If MouseButton(1):px-MouseDeltaX()*scale:py-MouseDeltaY()*scale:EndIf
If KeyboardReleased(#PB_Key_F1):auto=1:scale=cible(n)\z:EndIf
EndIf
If ascale<>scale Or apx<>px Or apy<>py:cpt=4:EndIf
If cpt
cpt-1
pass=(pass+1) & 3
; t=ElapsedMilliseconds()
For i=0 To ndt-1:Thread(i)=CreateThread(@mandelbrot(),i):Next
For i=0 To ndt-1:If Thread(i) : WaitThread(thread(i)):EndIf:Next
;ndt=1:mandelbrot(0)
;t=ElapsedMilliseconds()-t
EndIf
StartDrawing(ScreenOutput())
CopyMemory(@bmp(0,0),DrawingBuffer(),ex*ey*4)
DrawingMode(#PB_2DDrawing_Transparent )
DrawText(10,10,"Scale " + StrD(scale,14))
DrawText(10,30,"X "+StrD(px,14))
DrawText(10,50,"Y "+StrD(py,14))
;DrawText(10,70,Str(t))
StopDrawing()
DisplayTransparentSprite(0,x-15,y-15)
FlipBuffers()
Until KeyboardReleased(#PB_Key_Escape)
