{VERSION 6 0 "IBM INTEL NT" "6.0" }
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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 242 
"genPT:=proc(y0,f,niter)\n  # itera niter vezes e retorna pontos \n  l
ocal y,newy,i,lst,graff;\n  lst:=[[y0,0]];\n  y:=y0;\n  for i from 1 t
o niter do \n    newy:=f(y);\n    lst:=[op(lst),[y,newy],[newy,newy]];
\n    y:=newy;\n  end do;\n  lst;\nend proc:" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 1025 "genAnim:=proc(f,y0,Iab:=0,viewwd:=0,niter:=5)
\n  local wd,ab,np,opts,b,y,graff,grafid,pts,npts,grafpts,grafseg,graf
juntos,anim;\n  \n  # n\372mero de pontos pra gr\341fico de f\n  np:=1
000:\n  \n  # op\347\365es comuns aos gr\341ficos\n  opts:=axes=normal
,scaling=constrained,labels=[\"Y\",\"Z\"],numpoints=np:  \n  \n  if Ia
b=0 then \n    ab:=-5..5:\n  else \n    ab:=Iab: \n  end if;\n  if vie
wwd=0 then \n    wd:=[ab,minimize(f(y),y=ab)*(.9)..maximize(f(y),y=ab)
*(1.1)]:\n  else \n    wd:=viewwd: \n  end if;\n\n  # gr\341fico da fu
n\347\343o identidade\n  grafid:=plot(y,y=ab,color=blue,opts):\n\n  # \+
gr\341fico da fun\347\343o f\n  graff:=plot(f(y),y=ab,color=black,opts
):\n\n  pts:=genPT(y0,f,niter):\n  npts:=nops(pts):\n\n  # pontos\n  g
rafpts:=seq(pointplot(pts[1..i],symbol=circle,symbolsize=8,color=red),
i=1..npts):\n\n  # segmentos\n  grafseg:=seq(pointplot(pts[1..i],conne
ct=true,color=red),i=1..npts):\n\n  # junta ambos com gr\341fico de f \+
e id.\n  grafjuntos:=seq(display(graff,grafid,grafpts[i],grafseg[i]),i
=1..npts):\n  display(grafjuntos,opts,view=wd,insequence=true);\n   \n
end proc:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT 256 61 "Aqui abaixo voc\352 pode mudar a fun\347\343o e rodar ou
tros exemplos." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 121 "# exemplo an\341logo \340 equa\347\343o log
\355stica\ny0:=.5:\nf:=unapply(y*(1-y),y);\nrng:=-1.5..1.5:\njanela:=[
rng,-.25..2]:\nitera\347\365es:=5:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%\"fGf*6#%\"yG6\"6$%)operatorG%&arrowGF(*&9$\"\"\",&F.F.F-!\"\"F.F(F(
F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "genAnim(f,y0,rng,jane
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