Don´t Know if you´ll like this one but definetely it´s interesting and once again a new type. Managed to preserve the full Lambda functionality with this update inspie of default functions and just a minimum of additional code. Including the frm version - down compatible as always - in the par. Jack can you generate the latest images again to be sure they are correct amd no memory problems turn up? Thank you! Jonathan please update your data base, dont think any more updates will be necessary. ; https://www.dropbox.com/sh/0p2s2jzv5d40k3o/AADxQN1x0-O3tGNjFcS967qaa?dl=0 ; Albrecht ; --------------------------start par-------------------------------------- Lambd_22 { ; Colors in XS ; LambdaFn Solo ; Time 0.18.53.83 Reso 1280/1024 ; Full Lambda functionality with default functions reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_2 function=exp/exp/exp/sin passes=t center-mag=0.46742/-0.273285/1.724763/1/-105.000000000000028/-2.50563458\ 870090017e-014 params=0.2615497299111911/-0.8593951231421858/80000.32590150023/25234.05\ 06030602/150148.0404808048/384.160489401131/384.00482000595/256.1007683/\ 512.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000H29<2>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2\ u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3\
civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXQm`NlcJkgFfpAaz<\ 3>PKoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\ Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4z\ z3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f\ 5Ma5IW4E<2>_4H<5>K2A } frm:mfr_14_2 {; Albrecht Niekamp Mar.21,2015 Lambda fn-upd ;P1 : Julia-Manowar-(Lambda)-(Magnet)-(Phoenix) 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 or fn4 is used) ; Right: 4 Dig_bailout4 4 Dig_bailout5 1 Dig_mow=2 1 Dig_mag=2 1 Dig_fns ;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 ;Function: fn4_Manymods, fn3_Bees, fn2+fn3+fn4(virtual P1)_Lambda(fn) 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) dd=dd-d*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 ex4=(d>1) 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) if (ph==0) ph=p1 else ph=ph/10 endif w0=(wx==0) If (1<sp) d=(trunc(sp/10))/9 if (fdm) da=fn4(sp-100*d) else da=exp(sp-100*d) endif d=sp/73,37 sp=d+sqr(-da) else sp=p1 endif ; 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) dd=trunc(d) da=trunc((d-dd)*100000000000) sfac=dd/1000000+(dd==0) ba4=trunc(da/10000000) da=da-ba4*10000000 ba5=trunc(da/1000) da=da-ba5*1000 d=trunc(da/100) mow=d==2 da=da-d*100 d=trunc(da/10) mag=d==2 d=trunc(da-d*10) fdm=(d==4)+(d==7) fdb=(d==3)+(d==7) 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) dd=trunc(d) da=trunc((d-dd)*10000000000) ofac=dd/1000000+(dd==0) 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 dd=trunc(da/100000) da=da-dd*100000 fac1=dd/1000000+(dd==0) 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 dd=trunc(da/100000) da=da-dd*100000 fac2=dd/1000000+(dd==0) 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) dd=trunc(da/100000) da=da-dd*100000 fac3=dd/1000000+(dd==0) 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 x=((1,0.4)*(|sp|<=0)+sp) m=(64*(real(bb0)<=0)+real(bb0)*(0<bb0)) endif else c=z z=pixel ;newton endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) z=0 ;many mods 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=fn1(t*sfac) if (w0) u=u0 else u=1.0 endif ex0=0 if (ir0) t=0 endif if (d3) z=pixel cb=p9*u c=px0*u p=pp*u x=x*u else z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif tt=tt-1+ex0 endif endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=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 x=x*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=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 x=x*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=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 x=x*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=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 x=x*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 if (fdb) z=exp(z)*fn3(x) else z=exp(z)*sin(x) ;Lambdafn endif abs(imag(z))<=x && abs(real(z))<=m 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 zold=z ;Phoenix z=z1 else if (fdm) Z2=fn4(z)+c else z2=sin(z)+c ;Many_mods endif 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 ;Julia z=z2*z2+p6*z2+c-p0 endif else if (fdb) z1=fn3(z)-cb else z1=sin(z)-cb ;Bees endif 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 par-------------------------------------