HI,
This concludes the presentaton of my
new software.
There still is a minor problem,
so this is not the final version!
;
Here is a first appetizer:
A mix of manowar and magnet,
new and surprising!
The image can be viewed immediately
in the dropbox folder.
;
Cheers, Albrecht
;
==================================start parameter file================
Manowar-Magnet-Mix { ; A first appetizer
; Time 0.03.18.17 1280/1024
; Just the two new frms used
reset=2004 type=formula formulafile=mfr_12.frm
formulaname=multifractal_12 function=sin/sin/exp/sin passes=t
center-mag=+0.22997564564917950/-0.00031644303807611/76.56715/1/90/3.885\
78058618804789e-016
params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\
020602/152048.0404808035/384.1604894022/384.00482000595/256.1007683/512.\
1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter
outside=tdis logmap=3 periodicity=0 rseed=-2436
colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\
6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\
6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\
>705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\
>E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\
vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<4>WCA`B9eB7<3>yA0<13>RA1P\
A1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb0cd7_i\
FRnNIyb0yj0000yr0
}
frm:multifractal_12 { ; Albrecht Niekamp Dec, 2013
;P1 spider-julia-seed
;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3
; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods
; 6_Phoenix 7_Newton 8_Spider/Magnet
; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid
; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp
; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp
;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5
; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees
;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1
; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa
;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used)
; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2
;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used)
; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in
;IP4 Left: Inside1_Maxiter
; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord
; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1
;RP5 Left: Inside2_Maxiter
; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord
; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2
;IP5 Left: Inside3_Maxiter
; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord
; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3
;fn(1) shared by many-mods + bees
;
z=pixel
da=real(p2)
dd=trunc(da)
tt=dd>0
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
ex0=(d>1)
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)
tt=ex1+ex0+ex2+ex3+ex4
;
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)
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)
;
d=real(p3)
dd=trunc(d)
da=(d-dd)*10000000000
pp=trunc(dd/10000)
ba1=dd-10000*pp
ba2=trunc(da/1000000)
da=da-1000000*ba2
ba3=trunc(da/100)
da=da-100*ba3
mg=trunc(da/10)
da=da-mg*10
mn=da
;
d=imag(p3)
sfac=trunc(d)
da=trunc((d-sfac)*10000000000)
ba4=trunc(da/1000000)
da=da-ba4*1000000
ba5=trunc(da/100)
da=da-ba5*100
d=trunc(da/10)
da=da-d*10
mow=d==2
mag=d==2
;
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
;
d=imag(p5)
mi3=trunc(d)
da=(d-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
;
if (vb)
if (d3)
if (ab)
if (mag)
c=z
z=pixel
x=mg
x=x+(x==0)*3 ;magnet
else
z=pixel ;Spider
c=p1
endif
else
z=pixel ;newton
c=p1
endif
elseif (ab)
c=z ;Phoenix
z=pixel
else
c=0.4*log(sqr(z^mm)) ;many mods
z=0
endif
elseif (d3)
if (ab)
if (mow) ;manowar
mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) )
c=p1
z=pixel
else
c=p1 ;Julia
z=pixel
endif
else ;bees
c=p1
z=pixel
endif
elseif (ab)
c=z ;Mandel
z=0
else
c=z ;Secant
z=pixel
endif
t=0
bo=|z|
p=pp
z0=p7
zold=(0.0,0.0)
cb=p9
ba=bb0
:
if (tt>0)
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=pixel
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)
if (mag) ;magnet
z=((z^x+c-1)/(2*z+c-2))^(x-1)
else
z=z*z+c ;Spiderjul
c=c*sp+z
endif
else
z1=z^p-1 ;newton
z2=p*z*z
z=z-z1/z2
endif
elseif (ab)
z1=z*z+0.56+ph/100-0.5*zold ;Phoenix
zold=z
z=z1
else
z2=fn1(z)+c ;Many_mods
z1=cos(z2)
z=c*(1-z1)/(1+z1)
endif
elseif (d3)
if (ab)
if (mow)
z1 = z ;manowar
oldz = z
z = sqr(oldz) + z1 + c
z1 = oldz
else
z2=z*z ;Julia
z=z2*z2+p6*z2+c-p0
endif
else
z1=fn1(z)-cb ;Bees
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 ;Double Mandel
else
z2=z*z ;Mandel
z=z2*z2+p6*z2+c-p0
endif
else
z3=z ;Secant
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
}
