Hi,
I dont know if it still makes
any sense to publish a new MFR
Version. Will see.
It was necessary to improve the
Magnet handling.
It now ignores P1 completely with
the effect that the images are "clean"
without chaotic junk and always
symmetrical.
In addition its possible to ignore
the variable - set to 0.1 - and read
only Real(p1) which delivers an
infinite diversity.
A sample is todays image. It´s called
Maggame because it´s possible to play
"Monkey at the typewriter" and type
any value in Real(P1). This is how
it was generated, it takes just a few
seconds.The evolution mode never can
accomplish the same results.
A second achievement is greater speed.
For example the "Togetherness" image
needs 13 minutes less.
The third and most important improvement
is the replacemnt of SpiderJul (never used)
by LambdaFn which has unlimited versality,
more then any other participating frm.
Hal Lane - A big Thank You! from here and
I spent a lot of time testing and checking
for any differences to MFR_12 Images.
So far the newer images are identical
with the exception of course of those
that use magnet, they maybe identical
or maybe not, pending on the reading of
P1.
The new frm did not show any problems
sofar, possibly there are none. Anyway
until I´m certain I will attach it to
the par. Of course it doesnt make any
sense to ´publish more images if no one
is interested anymore. So tell me, please.
Thanks.
Paul, please make it available in orgform,
although it´s subject to modification.
Thanks also to you.
-----------------------Start PaR-------------------------------------------
LambdBsn { ; LambdaFn Basic
; Replaces Spider
; Time 0.01.08.28 Reso 1280/1024
reset=2004 type=formula formulafile=mfr_12.frm
formulaname=multifractal_13 function=exp/sin/exp/sin passes=t
center-mag=-0.0606262/0.0140242/1.06411/1/-105.000000000000028/1.3107570\
5844807544e-014
params=0.09659108249153112/-0.5176854762413403/80000.32591550023/25234.0\
506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\
12.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter
logmap=4 periodicity=0 rseed=-2436
colors=000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA\
5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\
6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2\
A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6\
X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlq\
votvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>S\
A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXQm`NlcJkgFfpAaz<3>PKoSFlWAi_5fc0ce\
7_jFRoNIzb0zj0000
}
Maggam-01 { ; Magnet Solo
; New MFR_13 Feature
; 0.05.40.70 Reso 1280*1024
; Input Real(p1)
reset=2004 type=formula formulafile=mfr_12.frm
formulaname=multifractal_13 function=sin/exp/exp/sin passes=t
center-mag=-1.3042/-0.000358195/31.60623/1/-90/3.88578058618804789e-016
params=4.123456789123456/0.3785210730307932/80000.6459575/14235.49110306\
02/152048.0404808001/384.16048940121/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter
periodicity=0 rseed=-2436
colors=000<3>000000000<3>000330<6>220220220<3>110000110<2>000KA4<7>gcOjg\
RmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<2\
6>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6\
`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VM\
CRI8OE4KA0000<38>000
}
frm:multifractal_13 { ; Albrecht Niekamp Nov29, 2014
;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_Lambda/Magnet
; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Lambd
; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_nowarp
; 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
;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=trunc(((da-dd)*100000000000)+11111)
dd=trunc(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
po=d==7
sx=d==9
ab=po+(d==3)+(d==5)+(d==9)
d=trunc(dd/1000)
dd=dd-d*1000
ex1=(d>1)
sc1=d==2
mo1=d==6
po1=d==7
sx1=d==9
v1m=mo1+po1
v1j=d>7
dd1=v1j+(d==4)+(d==5)
ab1=po1+(d==3)+(d==5)+(d==9)
d=trunc(dd/100)
dd=dd-d*100
ex2=(d>1)
sc2=d==2
mo2=d==6
po2=d==7
sx2=d==9
v2m=mo2+po2
v2j=d>7
dd2=v2j+(d==4)+(d==5)
ab2=po2+(d==3)+(d==5)+(d==9)
d=trunc(dd/10)
ex3=(d>1)
sc3=d==2
mo3=d==6
po3=d==7
sx3=d==9
v3m=mo3+po3
v3j=d>7
dd3=v3j+(d==4)+(d==5)
ab3=po3+(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
po4=d==7
sx4=d==9
v4m=mo4+po4
v4j=d>7
dd4=v4j+(d==4)+(d==5)
ab4=po4+(d==3)+(d==5)+(d==9)
tt=ex1+ex0+ex2+ex3+ex4
;
mm=trunc(da/1000000000)
da=da-mm*1000000000
ph=trunc(da/10000000)
da=da-ph*10000000
sp=trunc(da/100000)
da=da-sp*100000
d=trunc(da/10000)
da=da-d*10000
wx=(d>4)
d=d-5*wx
dm=(d==2)+(d==4)
ir0=(d==3)+(d==4)
d=trunc(da/1000)
da=da-d*1000
w1=d>4
d=d-5*w1
rs1=(d==2)+(d==4)
ir1=(d==3)+(d==4)
d=trunc(da/100)
da=da-d*100
w2=d>4
d=d-5*w2
rs2=(d==2)+(d==4)
ir2=(d==3)+(d==4)
d=trunc(da/10)
da=da-d*10
w3=d>4
d=d-5*w3
rs3=(d==2)+(d==4)
ir3=(d==3)+(d==4)
w4=da>4
da=da-5*w4
rs4=(da==2)+(da==3)+(da==4)
ph=ph/10
sp=sp/10
w0=(wx==0)
;
d=real(p3)
dd=trunc(d)
da=trunc((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*ba3-4
mg=da/10
if (mg<1)
mg=real(p1)
endif
;
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=da==2
px0=((sx*mag)==0)*p1
px1=((sx1*mag)==0)*p1
px2=((sx2*mag)==0)*p1
px3=((sx3*mag)==0)*p1
px4=((sx4*mag)==0)*p1
;
d=real(p4)
ofac=trunc(d)
da=trunc((d-ofac)*10000000000)
bh=trunc(da/100000)/10
bl=(da-bh*1000000)/10
bs=bl/2
;
d=imag(p2)
dd=trunc(d)
da=trunc((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=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
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=trunc((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=trunc((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=trunc((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 ;lambdafn
m = ((1, 0.4) * (|p1|<=0) + p1)
x = (64 * (real(sp)<=0) + real(sp) * (0<sp) )
endif
else
c=z
z=pixel ;newton
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)
u0=2*(fn1(t/sfac))
if (w0)
u=u0
else
u=1.0
endif
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=px0*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=px1*u
p=pp*u
else
c=px1
z=z*u
cb=p9
endif
else
vb=v1m
if (rs1)
c=z*u
z=pixel*(sc1+po1)
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=px2*u
p=pp*u
else
cb=p9
c=px2
z=z*u
endif
else
vb=v2m
if (rs2)
c=z*u
z=pixel*(sc2+po2)
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=px3*u
p=pp*u
else
cb=p9
c=px3
z=z*u
endif
else
vb=v3m
if (rs3)
c=z*u
z=pixel*(sc3+po3)
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=px4*u
p=pp*u
else
cb=p9
c=px4
z=z*u
endif
else
vb=v4m
if (rs4)
c=z*u
z=pixel*(sc4+po4)
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=fn2(z)*fn3(m) ;Lambdafn
abs(imag(z)) <=x && abs(real(z)) <=x
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
}
----------------------------------End-----------------------------------