Below are: 1) Albrecht's instructions -- long version -- for how to use his multifractal_10 (MFR-10) formula, and 2) The multifractal_10 formula with all the comments stripped out, (from Albrecht's latest post) -- in hopes of being able to run it in DOS Fractint. Notes: 1) I have not yet run the multifractal_10 less comments below. I plan to give it a try -- I was unsuccessful when attempting to use the version *with* comments in April of 2011 -- I got DOS Fractint errors. 2) You'll need to choose one of Albrecht's parameter sets that he's recently posted to use with the comment-less formula below. - Hal Lane ######################## # hallane@earthlink.net ######################## Albrecht's Instructions on How to Use Multifractal_10 ----------------------------------------------------- ;A few words though about multifractal_10. ;It is the final version, it handles 8 basic fractal ;formulas and combines ANY 5 to one multifractal image. ;(1) Secant (Mike Wareman) ;(2) Mandel (Special version Puskas Istvan) ;(3) Bees (Ray Girvan) ;(4) Julia (Special version Puskas Istvan) ;(5) Many mods (Linda Allison) ;(6) Phoenix (Mike Wareman) ;(7) Newton (Special Version Puskas Istvan) ;(8) Spiderjul (John Horner). ;An easy tweak is real(p2) (Z-screen), just list 5 numbers ;of above list in front of the dot. Multiple entries of the ;same number or any other combinations are possible. ;To get the basic image just use one number followed by 4 ;zeros. The sequence of the five numbers defines following: ;Shape - outside - inside1 - inside2 - inside3. ;To activate S.Gallet´s "Lake Effect" type "1" in front ;the dot image(p5) and after the dot 6 digits as stated below. ;I did some exploring and testing, did not detect any fractint ;error. Exploring cant be complete. there are far too many ;possibilities, found that any combination delivered an image ;ready to zoom into. ; ; Multifractal_10 composes images using max 5 different formulas ; simultaneously. There are 9 frms to choose from. There are five ; "channels": basic shape, outside and inside 1-3.The transitions ; are controlled by an iteration counter or by border (z) values, ; in and out (bigger or smaller), or iteration and border ; simultaneously. ; ; At the transition points optional resets are provided, either of the ; iteration counter or the z-value (or both), which affect the coloring ; and further iteration. ; ; Five different bailout values can be applied, ranging from 1 to ; one million. The effect is compression or expansion of the colours. ; ; A unique programmable "warp-effect" can be applied to each channel. ; It changes the behaviour and looks of the channels, pending on ; previous iterations, a choosable function and a "warp" factor. Maybe ; this just means a distortion, maybe a 3d effect. ; ; Sylvie Gallet's lake effect is optional, fully integrated and ; works with all formulas, inside3 is shut off if activated. ; ; There now is a second basic "Double mandel" which allows the creation ; of "mandscapes", 2 samples with different insides, symmetric or ; asymmetric are provided. ; ; ; "Debugflag=322" must be deactivated. Please check your SS-tools.ini. ; ; Multifractal_10 Inputs: ; ; Real P2 ; First Input (before the dot) ; 5 Digits : Channels : 1_Basic Shape 2_Outside 3_Inside1 4_Inside2 5_Inside3 ; Frms: 1_Secant 2_Mandel(2) 3_Bees 4_Julia 5_Many Mods 6_Phoenix 7_Newton 8_Spider ; Second Input (after the dot) ; 2 Digits_Many Mods_Number of sides 2 Digits_Phoenix 2 Digits_Spider ; 1 Digit_Reset on Transitions (Shape) 0_no 1_Dble Mandel 2_Iter-reset 3_both +5_warp ; 4 Digits_Reset Channels 2-5 0_no 1_z-reset 2_Iter-reset 3_both +5_warp ; ; Imag P2 ; First Input ; 5 Digits_Colour (Bailout) Number for each channel (5 available) ; Second Input ; Variables : 4 Digits_Mand/Jul (2 var) 2 Digits_Secant 4 Digits_Bees ; ; Real P3 ; First Input ; 2 Digits_Newtonvariable 4 Digits_Colour1 ; Second Input ; 5 Digits_Colour2 5 Digits_Colour3 ; ; Imag P3 ; First Input ; Basic Shape : Warp-factor (fn1 is used) ; Second Input ; 5 Digits_Colour4 6 Digits_Colour5 ; ; Real P4 ; First Input ; Outside : Warp-factor (fn2 is used) ; Second Input ; Outside : 4 Digits+1fractal digit_Border-out 4 Digits+1 fractaldigit_Border-in ; ; Imag P4 ; First Input ; Inside1_Maxiter ; Second Input ; Inside1 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_warp factor (fn2 is used) 4 Digits+1 fractaldigit_border1 ; ; Real P5 ; First Input ; Inside2_Maxiter ; Second Input ; Inside2 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_warp factor (fn3 is used) 4 Digits+1 fractaldigit_border2 ; ; Imag P5 ; First Input ; Inside3_Maxiter ; Second Input ; Inside3 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border ; 5 Digits_Warp factor (fn4 is used) 4 Digits+1 fractal digit_border3 ; Alternate Input Imag P5 ; First Input : 1_Lake effect enabled (Inside3 disabled) ; Second Input : 2 Digits_Frequency 2 Digits_Waterlevel 2 Digits_Amplitude ; ; ; Inputs Multifractal_10: ; ;p1 (spider)julia-seed ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ;0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider ; input2: 2digits_many-mods 2digits_phoenix 2digits_spider ; 1digit_shapereset:0_no 1_dblmandel 2_iter-reset 3_both +5_warp ; 4digits reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp ;imag(p2)(-) 5digits_colour(bailout) number ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 ;imag(p3) shape : factor (fn1), 5digits_colour4 6digits_colour5 ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor1 (fn2) 4digits+fract_border1 ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor2 (fn3) 4digits+fract_border2 ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor3 (fn4) 4digits+fract_border3 ; optional: 1_lake effect, 2digits_frquency 2digits_level 2digits_ampl ;fn(1) shared by many-mods+bees ; =========================================================================== =========================================================================== Multifractal_10 Less Comments ----------------------------- ========= Beginning of Formula ============================================ frm:Multifractal_10 { le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) c=p1 else z=z*le+pixel*(le==0) c=p1 endif elseif (ab) c=z z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) z=0 endif elseif (d3) if (ab) c=p1 z=z*le+pixel*(le==0) else c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z z=0 else c=z z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c c=c*sp+z else z1=z^p-1 z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold zold=z z=z1 else z2=fn1(z)+c z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp else z2=z*z z=z2*z2+p6*z2+c-p0 endif else z3=z z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba } ========= End of Formula ===================================