Metropoli BBS
VIEWER: sam322.txt MODE: TEXT (SF7)
apl>" <-APL2-------------------- sam322.txt ---------------------------->


apl>)run cap2/sample/graph.inc


apl>" <-APL2-------------------- graph.txt ----------------------------->


apl>" Legend describing various global values:


apl>"


apl>" World coordinates(wc) are those of the real data.


apl>" Graph coordinates(gc) are those of the graph.


apl>"


apl>" caption - Override to text for graph caption.  If null, a caption


apl>"           will be generated.  The graph function resets the global


apl>"           caption variable to null at the end of its processing.


apl>"


apl>" hk ------ Constant coefficient of input.  If xr=1 (see below) then


apl>"           hk becomes the constant imaginary coefficient for all


apl>"           values of x on the graph.  If xr=0, hk will be the constant


apl>"           real coefficient.


apl>"


apl>" htl ----- 0 = both, 1 = headers, 2 = trailers, 3 = neither.


apl>"


apl>" maxx ---- Maximum x axis value in world coordinates.


apl>"


apl>" maxy ---- Maximum y axis value in world coordinates.


apl>"


apl>" minx ---- Minimum x axis value in world coordinates.


apl>"


apl>" miny ---- Minimum y axis value in world coordinates.


apl>"


apl>" mgc ----- Vertical margin in graphic coordinates.


apl>"


apl>" n ------- Synonymous with hk (see above).  The x values to which


apl>"           the function is applied to obtain y values are derived


apl>"           by first creating xwc as a vector of integers uniformly


apl>"           distributed between minx and maxx inclusive.  Then, either


apl>"           'x#(nX0j1)+xwc' or 'x#n+0j1Xxwc' is evaluated.


apl>"


apl>" nlb ----- 1 = Label the curve with the n value.


apl>"


apl>" points -- Number of points to generate.


apl>"


apl>" xgc ----- Array of x values for data points in graph coordinates.


apl>"


apl>" xiv ----- x axis marker interval in world coordinates.


apl>"


apl>" xlin ---- Width of graph in inches.


apl>"


apl>" xpg ----- Divide xwc by xpg to get xgc.


apl>"


apl>" xpi ----- Array of three values for minx, maxx, and xiv, used when


apl>"           invoking the graph function and the array of x values


apl>"           spans -pi to +pi.


apl>"


apl>" xr ------ 1=vary real x coefficient, 0=vary imaginary coefficient,


apl>"           holding the other coefficient to the constant hk (see above.).


apl>"


apl>" xt ------ Used in a variety of places to temporarily generate


apl>"           graphics coordinates.


apl>"


apl>" xwc ----- Array of x values in world coordinates.


apl>"


apl>" yadj ---- Adjustment down to print text below a line.


apl>"


apl>" yabm ---- Maximum absolute value (öy) to appear on graph.


apl>"


apl>" ygc ----- Array of y values for data points in graph coordinates.


apl>"


apl>" ylin ---- Height of graph in inches.


apl>"


apl>" ymgn ---- Margin in inches at top and bottom of y axis.


apl>"


apl>" ypg ----- Divide ywc by ypg to get ygc.


apl>"


apl>" yt ------ Used in a variety of places to temporarily generate


apl>"           graphics coordinates.


apl>"


apl>" ywc ----- Array of y values for data points in world coordinates.


apl>"


apl>" Set global values. -------------------------------------------->


apl>"


apl>caption#'' " Empty caption causes one to be generated.


apl>i#11 " Circle function code to extract imag. coef. of complex number.


apl>points#200 " Number of data points to generate on graph.


apl>r#9 " Circle function code to extract real coef. of complex number.


apl>xlin#4.5 " Width of graph in inches.


apl>"  minx = -3.14159....


apl>"  ö     maxx = 3.14159....


apl>"  ö     ö     xiv


apl>"  ö     ö     ö


apl>"  V     V     V


apl>xpi#(O-1),(O1),O.25


apl>ylin#6 " Height of graph in inches.


apl>ymgn#.2 " Margin in inches at top and bottom of y axis.


apl>"


apl>" <----------------------------------------------------------------->


apl>" Generates the LaTeX Öput statements for the data points to appear


apl>" on the graph.


apl>"


apl>Lex 'dodata'

1

apl>Gdodata


Ä1Å       xgc#(xwc_minx)%xpg " xgc=x graphic coordinates for data points.


Ä2Å       ygc#mgc+(ywc_miny)%ypg " ygc=y graphic coordinates for data points.


Ä3Å       $bylabXI0=nlb " Branch if the curve is not to be labelled.


Ä4Å       '%Label the curve'


Ä5Å       xt#1Y(u=S/u#öywc)/xgc " x coord where maximum/mininum occurs


Ä6Å       yt#(_yadjX0>vs/ywc)+(vs#xt=xgc)/ygc " y coord of maximum/minimum


Ä7Å       " Note: Calculation for yt works only if all minima occur below


Ä8Å       " y axis, and all maxima occur above.


Ä9Å       pcon,(xt,',',Ä1.5Åyt),`Z')änÖ#',(Fhk),'å'


Ä10Å      bylab:'%Draw the data points'


Ä11Å      pcon,((xgc#-1U1Uxgc),',',Ä1.5Å(ygc#-1U1Uygc)),circon


Ä12Å      G


apl>" <----------------------------------------------------------------->


apl>" Generate xwc and ywc, the arrays of x/y coordinates for the data


apl>" points to appear on the graph.


apl>"


apl>Lex 'genxy'

1

apl>Ggenxy


Ä1Å       xwc#minx+(xlwc#maxx_minx)X(-1+Ipoints+1)%points


Ä2Å       $varyrealXIxr


Ä3Å       x#hk+0j1Xxwc " real part is constant, imaginary varies.


Ä4Å       $calcy " Branch to compute values of y for data points.


Ä5Å       varyreal:x#(hkX0j1)+xwc " Imaginary is constant, real varies.


Ä6Å       calcy:ywc#eOCfun " Compute values of y for data points


Ä7Å       ywcm#yabm>öywc " Mask of keepers, magnitudes of y < yabm.


Ä8Å       xwc#ywcm/xwc " Pick the keepers.


Ä9Å       ywc#ywcm/ywc " Pick the keepers.


Ä10Å      G


apl>"


apl>" <----------------------------------------------------------------->


apl>" Main graph routine.


apl>"


apl>Lex 'graph'

1

apl>Gfun graph a


Ä1Å       "Graphs the imaginary or real coefficient of result of fun.


Ä2Å       " fun = expression to evaluate.


Ä3Å       (htl nlb xr e yabm minx maxx xiv hk yiv yca)#a


Ä4Å       genxy " Generate the data points.


Ä5Å       $dataXIhtl>1 " Branch if htl greater than 1.


Ä6Å       scale " Calculate global scaling values.


Ä7Å       headers " Generate LaTeX figure headers.


Ä8Å       data:dodata " Process and graph data points.


Ä9Å       trailers " Generate Latex figure trailers, maybe.


Ä10Å      G


apl>"


apl>" <----------------------------------------------------------------->


apl>" Generates the LaTeX statements to begin the graph.


apl>"


apl>Lex 'headers'

1

apl>Gheaders


Ä1Å       'ÖbeginäfigureåÄtbhÅ'


Ä2Å       $gencapXI0=Rcaption " Branch if no caption override.


Ä3Å       'Öcaptionä',caption,'å'


Ä4Å       $begin


Ä5Å       gencap:$realcapXI(xr=1)&hk=0 " Branch if x data are not complex.


Ä6Å       $ncaptionXInlb=0 " Branch if curves are not labelled with n value.


Ä7Å       'ÖcaptionäGraph of yÖ#',(Fe),'O',fun,'+nX0j1å'


Ä8Å       $begin


Ä9Å       ncaption:$cplxcapXIxr " Branch if varying real coefficient.


Ä10Å      'ÖcaptionäGraph of yÖ#',(Fe),'O',(-1Ufun),(Fhk),'+xX0j1å'


Ä11Å      $begin


Ä12Å      cplxcap:'ÖcaptionäGraph of yÖ#',(Fe),'O',fun,'+(nÖ#',(Fhk),')X0j1å'


Ä13Å      $begin


Ä14Å      realcap:'ÖcaptionäGraph of yÖ#',fun,'å'


Ä15Å      begin:'Öbeginäcenterå'


Ä16Å      'ÖsetlengthäÖunitlengthåä',(Flin),'inå'


Ä17Å      'Öbeginäpictureå(',(Fxlin%lin),',',(Fylin%lin),')'


Ä18Å      '%Draw a frame around the picture'


Ä19Å      ' Öput(0,0)äÖline(1,0)ä',(Fxlgc),'åå% bottom'


Ä20Å      ' Öput(0,0)äÖline(0,1)ä',(Fylgc),'åå% left'


Ä21Å      ' Öput(0,',(Fylgc),')äÖline(1,0)ä',(Fxlgc),'åå% top'


Ä22Å      ' Öput(',(Fxlgc),',0)äÖline(0,1)ä',(Fylgc),'åå% right'


Ä23Å      '%Draw the x axis'


Ä24Å      ' Öput(0,',(Fxax),')äÖline(1,0)ä',(Fxlgc),'åå%x axis'


Ä25Å      xt#xoff%xpg


Ä26Å      pcon,((xt,Ä1.5Å','),xax),circon " Draw the x axis markers.


Ä27Å      xt#xt_xpgX.1Xxmk<0


Ä28Å      yt#xax+((.05%lin)Xxax=mgc)_yadjXxax>mgc


Ä29Å      $dopaxXIpix


Ä30Å      '%Draw the x axis marker values'


Ä31Å      pcon,xt,',',yt,econ,xmk,Ä1.5Åscon


Ä32Å      $doyax


Ä33Å      dopax:'%Draw the x axis marker values in pi'


Ä34Å      picon#(`Z'Öfracä') ,`1 'Öpiåä4å' 'Öpiåä2å' '3Öpiåä4å'


Ä35Å      picon#('-',`1`Rpicon),'0',picon


Ä36Å      pcon,xt,',',yt,econ,picon,Ä1.5Åscon


Ä37Å      doyax:'%Draw the y axis'


Ä38Å      $putymkXI(yax=0)


Ä39Å      ' Öput(',(Fyax),',0)äÖline(0,1)ä',(Fylgc),'åå%y axis'


Ä40Å      putymk:'%Draw the y axis markers'


Ä41Å      ymask#ymk^=0


Ä42Å      yt#ymask/mgc+(ymk_miny)%ypg


Ä43Å      pcon,yax,',',yt,Ä1.5Åcircon


Ä44Å      '%Draw the y axis marker values'


Ä45Å      xt#yax+.05%lin


Ä46Å      yt#yt_ypgX.1X(ymask/ymk)<0


Ä47Å      pcon,xt,',',yt,econ,(ymask/ymk),Ä1.5Åscon


Ä48Å      G


apl>"


apl>" <----------------------------------------------------------------->


apl>" Calculates a variety of values needed to produce the graph.


apl>"


apl>Lex 'scale'

1

apl>Gscale


Ä1Å       $byyXIyca " Branch if ylwc, maxy, miny are precalculated.


Ä2Å       ylwc#(maxy#S/ywc)_miny#D/ywc


Ä3Å       byy:ylap#ylin_2Xymgn " ylap=height allowed for data points.


Ä4Å       lin#(xlin%xlwc)Dylap%ylwc " unitlength in inches.


Ä5Å       yadj#.14%lin " y graphic coordinate adjustment to print text below line.


Ä6Å       mgc#ymgn%lin " Margin in graph coordinates.


Ä7Å       xpg#xlwc%xlgc#xlin%lin " Divide xwc by xpg to get gc.


Ä8Å       ypg#ylwc%(_2Xymgn%lin)+ylgc#ylin%lin " Divide ywc by ypg to get gc.


Ä9Å       xax#(yz#(minyK0)&maxyZ0)Xmgc+(öminy)%ypg " xaxis in graph coordinates.


Ä10Å      yax#(xz#(minx<0)&maxx>0)X(öminx)%xpg " yaxis in graph coordinates.


Ä11Å      $piaxisXIpix#(minx=O-1)&maxx=O1 " branch if pi units on x axis.


Ä12Å      xic#(yax=0)+Dxlwc%xiv


Ä13Å      $doyiv


Ä14Å      piaxis:xic#Dxlwc%xiv#O.25


Ä15Å      doyiv:$doyicXIyiv^=0


Ä16Å      yiv#10*D10@ylwc


Ä17Å      doyic:yic#yic+0=2öyic#Dylwc%yiv


Ä18Å      xoff#(I-1+xic)Xxiv " Offset from minx in world coord. of x markers.


Ä19Å      yoff#(_yiv)+(Iyic)Xyiv " Offset from miny in world coord. of y markers.


Ä20Å      $yoffplusXIminy>0


Ä21Å      ymk#yoff+miny+yivööminy


Ä22Å      $yoffdone


Ä23Å      yoffplus:ymk#yoff+miny_yivöminy " y for y axis markers in world coord.


Ä24Å      yoffdone:xmk#minx+xoff " x for x axis markers in world coord.


Ä25Å      circon#`Z')äÖcircle*ä',(F.0205%lin),'åå'


Ä26Å      scon#`Z'$å'


Ä27Å      econ#`Z')ä$'


Ä28Å      pcon#`Z' Öput('


Ä29Å      G


apl>"


apl>" <----------------------------------------------------------------->


apl>" Generates the LaTeX statements to finish the graph.


apl>"


apl>Lex 'trailers'

1

apl>Gtrailers


Ä1Å       $epicXIhtl=0 " Branch if both headers and trailers.


Ä2Å       $eojckXInlb " Branch if graph already labelled.


Ä3Å       pcon,(1Yxgc+xpgX.1),',',(1Yygc),')ä',fun,'å' " Label the graph.


Ä4Å       eojck:$eojXI(htl=1)+htl=3 " br if headers only, or neither.


Ä5Å       epic:'Öendäpictureå'


Ä6Å       'Öendäcenterå'


Ä7Å       eoj:'%Finis.'


Ä8Å       caption#'' " Reset global caption


Ä9Å       G


apl>"            htl: 0=both, 1=headers, 2=trailers, 3=neither.


apl>"            ö nlb 1 = Label the curve.


apl>"            ö ö xr = 1=vary real x coeff, 0=vary imaginary coeff.


apl>"            ö ö ö e = i(11) or r(9) to select coefficient to graph.


apl>"            ö ö ö ö yabm = maximum öy printed on graph.


apl>"            ö ö ö ö ö   minx = minimum value of x.


apl>"            ö ö ö ö ö   ö   maxx = maximum value of x.


apl>"            ö ö ö ö ö   ö   ö  xiv = x axis marker interval.


apl>"            ö ö ö ö ö   ö   ö  ö hk = Constant coefficient of input.


apl>"            ö ö ö ö ö   ö   ö  ö ö   yiv = y axis marker interval, or 0.


apl>"            ö ö ö ö ö   ö   ö  ö ö   ö  yca = ylwc, maxy, miny are precalculated.


apl>"            ö ö ö ö ö   ö   ö  ö ö   ö  ö


apl>"            V V V V V   V   V  V V   V  V


apl>points#400


apl> '7Ox' graph 0,0,0,r,1e6,xpi     ,0.5,.1,0 " tanhdatz.tex

ÖbeginäfigureåÄtbhÅ
ÖcaptionäGraph of yÖ#9O7O .5+xX0j1å
Öbeginäcenterå
ÖsetlengthäÖunitlengthåä .716197inå
Öbeginäpictureå(6.283185,8.37758)
%Draw a frame around the picture
 Öput(0,0)äÖline(1,0)ä6.283185åå% bottom
 Öput(0,0)äÖline(0,1)ä8.37758åå% left
 Öput(0,8.37758)äÖline(1,0)ä6.283185åå% top
 Öput(6.283185,0)äÖline(0,1)ä8.37758åå% right
%Draw the x axis
 Öput(0,0)äÖline(1,0)ä6.283185åå%x axis
  Öput(  .785398 , 0 )äÖcircle*ä .0286234åå 
  Öput( 1.570796 , 0 )äÖcircle*ä .0286234åå 
  Öput( 2.356194 , 0 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 , 0 )äÖcircle*ä .0286234åå 
  Öput(  3.92699 , 0 )äÖcircle*ä .0286234åå 
  Öput( 4.712389 , 0 )äÖcircle*ä .0286234åå 
  Öput( 5.497787 , 0 )äÖcircle*ä .0286234åå 
%Draw the x axis marker values in pi
  Öput(  .685398 , 0 )ä$ -Öfracä3Öpiåä4å $å 
  Öput( 1.470796 , 0 )ä$  -ÖfracäÖpiåä2å $å 
  Öput( 2.256194 , 0 )ä$  -ÖfracäÖpiåä4å $å 
  Öput( 3.141593 , 0 )ä$               0 $å 
  Öput(  3.92699 , 0 )ä$   ÖfracäÖpiåä4å $å 
  Öput( 4.712389 , 0 )ä$   ÖfracäÖpiåä2å $å 
  Öput( 5.497787 , 0 )ä$  Öfracä3Öpiåä4å $å 
%Draw the y axis
 Öput(3.141593,0)äÖline(0,1)ä8.37758åå%y axis
%Draw the y axis markers
  Öput( 3.141593 , -0.00614417 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,   .45330514 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,     .912754 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    1.372204 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    1.831653 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    2.291102 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    2.750552 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    3.210001 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,     3.66945 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    4.128900 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    4.588349 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    5.047798 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    5.507248 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    5.966697 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    6.426146 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    6.885596 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 ,    7.345045 )äÖcircle*ä .0286234åå 
%Draw the y axis marker values
  Öput( 3.211406 , -0.00614417 )ä$  .4 $å 
  Öput( 3.211406 ,   .45330514 )ä$  .5 $å 
  Öput( 3.211406 ,     .912754 )ä$  .6 $å 
  Öput( 3.211406 ,    1.372204 )ä$  .7 $å 
  Öput( 3.211406 ,    1.831653 )ä$  .8 $å 
  Öput( 3.211406 ,    2.291102 )ä$  .9 $å 
  Öput( 3.211406 ,    2.750552 )ä$   1 $å 
  Öput( 3.211406 ,    3.210001 )ä$ 1.1 $å 
  Öput( 3.211406 ,     3.66945 )ä$ 1.2 $å 
  Öput( 3.211406 ,    4.128900 )ä$ 1.3 $å 
  Öput( 3.211406 ,    4.588349 )ä$ 1.4 $å 
  Öput( 3.211406 ,    5.047798 )ä$ 1.5 $å 
  Öput( 3.211406 ,    5.507248 )ä$ 1.6 $å 
  Öput( 3.211406 ,    5.966697 )ä$ 1.7 $å 
  Öput( 3.211406 ,    6.426146 )ä$ 1.8 $å 
  Öput( 3.211406 ,    6.885596 )ä$ 1.9 $å 
  Öput( 3.211406 ,    7.345045 )ä$   2 $å 
%Draw the data points
  Öput(  .01570796 , .27966473    )äÖcircle*ä .0286234åå 
  Öput(  .03141593 , .28090143    )äÖcircle*ä .0286234åå 
  Öput(  .04712389 , .28296443    )äÖcircle*ä .0286234åå 
  Öput(  .06283185 , .28585652    )äÖcircle*ä .0286234åå 
  Öput(  .07853982 , .28958157    )äÖcircle*ä .0286234åå 
  Öput(  .09424778 , .29414461    )äÖcircle*ä .0286234åå 
  Öput(  .10995574 , .29955178    )äÖcircle*ä .0286234åå 
  Öput(   .1256637 , .30581039    )äÖcircle*ä .0286234åå 
  Öput(  .14137167 , .31292891    )äÖcircle*ä .0286234åå 
  Öput(  .15707963 , .32091700    )äÖcircle*ä .0286234åå 
  Öput(  .17278760 , .32978551    )äÖcircle*ä .0286234åå 
  Öput(  .18849556 , .33954656    )äÖcircle*ä .0286234åå 
  Öput(  .20420352 ,  .3502135    )äÖcircle*ä .0286234åå 
  Öput(  .21991149 , .36180099    )äÖcircle*ä .0286234åå 
  Öput(  .23561945 , .37432500    )äÖcircle*ä .0286234åå 
  Öput(  .25132741 , .38780286    )äÖcircle*ä .0286234åå 
  Öput(  .26703538 , .40225331    )äÖcircle*ä .0286234åå 
  Öput(  .28274334 , .41769653    )äÖcircle*ä .0286234åå 
  Öput(   .2984513 , .43415417    )äÖcircle*ä .0286234åå 
  Öput(  .31415927 , .45164943    )äÖcircle*ä .0286234åå 
  Öput(  .32986723 , .47020709    )äÖcircle*ä .0286234åå 
  Öput(  .34557519 , .48985357    )äÖcircle*ä .0286234åå 
  Öput(  .36128316 ,   .510617    )äÖcircle*ä .0286234åå 
  Öput(  .37699112 ,   .532527    )äÖcircle*ä .0286234åå 
  Öput(  .39269908 ,   .555616    )äÖcircle*ä .0286234åå 
  Öput(  .40840704 ,   .579917    )äÖcircle*ä .0286234åå 
  Öput(    .424115 ,   .605465    )äÖcircle*ä .0286234åå 
  Öput(  .43982297 ,   .632299    )äÖcircle*ä .0286234åå 
  Öput(  .45553093 ,   .660458    )äÖcircle*ä .0286234åå 
  Öput(  .47123890 ,   .689983    )äÖcircle*ä .0286234åå 
  Öput(  .48694686 ,    .72092    )äÖcircle*ä .0286234åå 
  Öput(    .502655 ,   .753314    )äÖcircle*ä .0286234åå 
  Öput(    .518363 ,   .787215    )äÖcircle*ä .0286234åå 
  Öput(     .53407 ,   .822674    )äÖcircle*ä .0286234åå 
  Öput(    .549779 ,   .859745    )äÖcircle*ä .0286234åå 
  Öput(    .565487 ,   .898485    )äÖcircle*ä .0286234åå 
  Öput(    .581195 ,   .938954    )äÖcircle*ä .0286234åå 
  Öput(    .596903 ,   .981215    )äÖcircle*ä .0286234åå 
  Öput(     .61261 ,   1.025333   )äÖcircle*ä .0286234åå 
  Öput(    .628319 ,   1.071377   )äÖcircle*ä .0286234åå 
  Öput(    .644026 ,   1.119418   )äÖcircle*ä .0286234åå 
  Öput(    .659734 ,   1.169533   )äÖcircle*ä .0286234åå 
  Öput(    .675442 ,   1.221798   )äÖcircle*ä .0286234åå 
  Öput(     .69115 ,   1.276297   )äÖcircle*ä .0286234åå 
  Öput(    .706858 ,   1.333114   )äÖcircle*ä .0286234åå 
  Öput(    .722566 ,   1.392338   )äÖcircle*ä .0286234åå 
  Öput(    .738274 ,   1.454061   )äÖcircle*ä .0286234åå 
  Öput(    .753982 ,   1.518379   )äÖcircle*ä .0286234åå 
  Öput(     .76969 ,    1.58539   )äÖcircle*ä .0286234åå 
  Öput(    .785398 ,   1.655198   )äÖcircle*ä .0286234åå 
  Öput(    .801106 ,   1.727906   )äÖcircle*ä .0286234åå 
  Öput(    .816814 ,   1.803623   )äÖcircle*ä .0286234åå 
  Öput(    .832522 ,   1.882461   )äÖcircle*ä .0286234åå 
  Öput(     .84823 ,   1.964532   )äÖcircle*ä .0286234åå 
  Öput(    .863938 ,   2.049953   )äÖcircle*ä .0286234åå 
  Öput(    .879646 ,   2.138840   )äÖcircle*ä .0286234åå 
  Öput(    .895354 ,    2.23131   )äÖcircle*ä .0286234åå 
  Öput(    .911062 ,   2.327484   )äÖcircle*ä .0286234åå 
  Öput(    .926770 ,   2.427476   )äÖcircle*ä .0286234åå 
  Öput(    .942478 ,   2.531403   )äÖcircle*ä .0286234åå 
  Öput(    .958186 ,   2.639379   )äÖcircle*ä .0286234åå 
  Öput(    .973894 ,    2.75151   )äÖcircle*ä .0286234åå 
  Öput(    .989602 ,     2.8679   )äÖcircle*ä .0286234åå 
  Öput(   1.005310 ,   2.988644   )äÖcircle*ä .0286234åå 
  Öput(   1.021018 ,   3.113824   )äÖcircle*ä .0286234åå 
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  Öput(    1.61792 ,   8.017738   )äÖcircle*ä .0286234åå 
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  Öput(   1.649336 ,   7.877932   )äÖcircle*ä .0286234åå 
  Öput(   1.665044 ,   7.784300   )äÖcircle*ä .0286234åå 
  Öput(   1.680752 ,   7.676153   )äÖcircle*ä .0286234åå 
  Öput(    1.69646 ,   7.554627   )äÖcircle*ä .0286234åå 
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  Öput(   1.790708 ,    6.61579   )äÖcircle*ä .0286234åå 
  Öput(   1.806416 ,   6.436488   )äÖcircle*ä .0286234åå 
  Öput(   1.822124 ,   6.253936   )äÖcircle*ä .0286234åå 
  Öput(   1.837832 ,   6.069217   )äÖcircle*ä .0286234åå 
  Öput(   1.853540 ,   5.883333   )äÖcircle*ä .0286234åå 
  Öput(   1.869248 ,   5.697195   )äÖcircle*ä .0286234åå 
  Öput(   1.884956 ,   5.511625   )äÖcircle*ä .0286234åå 
  Öput(   1.900664 ,   5.327356   )äÖcircle*ä .0286234åå 
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  Öput(   1.932079 ,   4.965215   )äÖcircle*ä .0286234åå 
  Öput(   1.947787 ,   4.788382   )äÖcircle*ä .0286234åå 
  Öput(   1.963495 ,   4.614937   )äÖcircle*ä .0286234åå 
  Öput(   1.979203 ,   4.445218   )äÖcircle*ä .0286234åå 
  Öput(   1.994911 ,   4.279494   )äÖcircle*ä .0286234åå 
  Öput(   2.010619 ,    4.11798   )äÖcircle*ä .0286234åå 
  Öput(   2.026327 ,   3.960839   )äÖcircle*ä .0286234åå 
  Öput(   2.042035 ,   3.808189   )äÖcircle*ä .0286234åå 
  Öput(   2.057743 ,   3.660104   )äÖcircle*ä .0286234åå 
  Öput(   2.073451 ,   3.516628   )äÖcircle*ä .0286234åå 
  Öput(   2.089159 ,   3.377769   )äÖcircle*ä .0286234åå 
  Öput(   2.104867 ,   3.243514   )äÖcircle*ä .0286234åå 
  Öput(   2.120575 ,   3.113824   )äÖcircle*ä .0286234åå 
  Öput(   2.136283 ,   2.988644   )äÖcircle*ä .0286234åå 
  Öput(   2.151991 ,     2.8679   )äÖcircle*ä .0286234åå 
  Öput(   2.167699 ,    2.75151   )äÖcircle*ä .0286234åå 
  Öput(   2.183407 ,   2.639379   )äÖcircle*ä .0286234åå 
  Öput(   2.199115 ,   2.531403   )äÖcircle*ä .0286234åå 
  Öput(   2.214823 ,   2.427476   )äÖcircle*ä .0286234åå 
  Öput(    2.23053 ,   2.327484   )äÖcircle*ä .0286234åå 
  Öput(   2.246239 ,    2.23131   )äÖcircle*ä .0286234åå 
  Öput(   2.261947 ,   2.138840   )äÖcircle*ä .0286234åå 
  Öput(   2.277655 ,   2.049953   )äÖcircle*ä .0286234åå 
  Öput(   2.293363 ,   1.964532   )äÖcircle*ä .0286234åå 
  Öput(    2.30907 ,   1.882461   )äÖcircle*ä .0286234åå 
  Öput(   2.324779 ,   1.803623   )äÖcircle*ä .0286234åå 
  Öput(   2.340487 ,   1.727906   )äÖcircle*ä .0286234åå 
  Öput(   2.356194 ,   1.655198   )äÖcircle*ä .0286234åå 
  Öput(   2.371902 ,    1.58539   )äÖcircle*ä .0286234åå 
  Öput(    2.38761 ,   1.518379   )äÖcircle*ä .0286234åå 
  Öput(   2.403318 ,   1.454061   )äÖcircle*ä .0286234åå 
  Öput(   2.419026 ,   1.392338   )äÖcircle*ä .0286234åå 
  Öput(   2.434734 ,   1.333114   )äÖcircle*ä .0286234åå 
  Öput(   2.450442 ,   1.276297   )äÖcircle*ä .0286234åå 
  Öput(    2.46615 ,   1.221798   )äÖcircle*ä .0286234åå 
  Öput(   2.481858 ,   1.169533   )äÖcircle*ä .0286234åå 
  Öput(   2.497566 ,   1.119418   )äÖcircle*ä .0286234åå 
  Öput(   2.513274 ,   1.071377   )äÖcircle*ä .0286234åå 
  Öput(   2.528982 ,   1.025333   )äÖcircle*ä .0286234åå 
  Öput(    2.54469 ,   .981215    )äÖcircle*ä .0286234åå 
  Öput(   2.560398 ,   .938954    )äÖcircle*ä .0286234åå 
  Öput(   2.576106 ,   .898485    )äÖcircle*ä .0286234åå 
  Öput(   2.591814 ,   .859745    )äÖcircle*ä .0286234åå 
  Öput(   2.607522 ,   .822674    )äÖcircle*ä .0286234åå 
  Öput(   2.623230 ,   .787215    )äÖcircle*ä .0286234åå 
  Öput(   2.638938 ,   .753314    )äÖcircle*ä .0286234åå 
  Öput(   2.654646 ,    .72092    )äÖcircle*ä .0286234åå 
  Öput(   2.670354 ,   .689983    )äÖcircle*ä .0286234åå 
  Öput(   2.686062 ,   .660458    )äÖcircle*ä .0286234åå 
  Öput(   2.701770 ,   .632299    )äÖcircle*ä .0286234åå 
  Öput(   2.717478 ,   .605465    )äÖcircle*ä .0286234åå 
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  Öput(   2.748894 ,   .555616    )äÖcircle*ä .0286234åå 
  Öput(   2.764602 ,   .532527    )äÖcircle*ä .0286234åå 
  Öput(   2.780309 ,   .510617    )äÖcircle*ä .0286234åå 
  Öput(   2.796017 , .48985357    )äÖcircle*ä .0286234åå 
  Öput(   2.811725 , .47020709    )äÖcircle*ä .0286234åå 
  Öput(   2.827433 , .45164943    )äÖcircle*ä .0286234åå 
  Öput(   2.843141 , .43415417    )äÖcircle*ä .0286234åå 
  Öput(   2.858849 , .41769653    )äÖcircle*ä .0286234åå 
  Öput(   2.874557 , .40225331    )äÖcircle*ä .0286234åå 
  Öput(   2.890265 , .38780286    )äÖcircle*ä .0286234åå 
  Öput(   2.905973 , .37432500    )äÖcircle*ä .0286234åå 
  Öput(   2.921681 , .36180099    )äÖcircle*ä .0286234åå 
  Öput(   2.937389 ,  .3502135    )äÖcircle*ä .0286234åå 
  Öput(   2.953097 , .33954656    )äÖcircle*ä .0286234åå 
  Öput(   2.968805 , .32978551    )äÖcircle*ä .0286234åå 
  Öput(   2.984513 , .32091700    )äÖcircle*ä .0286234åå 
  Öput(   3.000221 , .31292891    )äÖcircle*ä .0286234åå 
  Öput(   3.015929 , .30581039    )äÖcircle*ä .0286234åå 
  Öput(   3.031637 , .29955178    )äÖcircle*ä .0286234åå 
  Öput(   3.047345 , .29414461    )äÖcircle*ä .0286234åå 
  Öput(   3.063053 , .28958157    )äÖcircle*ä .0286234åå 
  Öput(    3.07876 , .28585652    )äÖcircle*ä .0286234åå 
  Öput(   3.094469 , .28296443    )äÖcircle*ä .0286234åå 
  Öput(   3.110177 , .28090143    )äÖcircle*ä .0286234åå 
  Öput(   3.125885 , .27966473    )äÖcircle*ä .0286234åå 
  Öput(   3.141593 , .27925268    )äÖcircle*ä .0286234åå 
  Öput(     3.1573 , .27966473    )äÖcircle*ä .0286234åå 
  Öput(   3.173009 , .28090143    )äÖcircle*ä .0286234åå 
  Öput(   3.188717 , .28296443    )äÖcircle*ä .0286234åå 
  Öput(   3.204425 , .28585652    )äÖcircle*ä .0286234åå 
  Öput(   3.220132 , .28958157    )äÖcircle*ä .0286234åå 
  Öput(    3.23584 , .29414461    )äÖcircle*ä .0286234åå 
  Öput(   3.251548 , .29955178    )äÖcircle*ä .0286234åå 
  Öput(   3.267256 , .30581039    )äÖcircle*ä .0286234åå 
  Öput(   3.282964 , .31292891    )äÖcircle*ä .0286234åå 
  Öput(   3.298672 , .32091700    )äÖcircle*ä .0286234åå 
  Öput(    3.31438 , .32978551    )äÖcircle*ä .0286234åå 
  Öput(   3.330088 , .33954656    )äÖcircle*ä .0286234åå 
  Öput(   3.345796 ,  .3502135    )äÖcircle*ä .0286234åå 
  Öput(   3.361504 , .36180099    )äÖcircle*ä .0286234åå 
  Öput(   3.377212 , .37432500    )äÖcircle*ä .0286234åå 
  Öput(    3.39292 , .38780286    )äÖcircle*ä .0286234åå 
  Öput(   3.408628 , .40225331    )äÖcircle*ä .0286234åå 
  Öput(   3.424336 , .41769653    )äÖcircle*ä .0286234åå 
  Öput(   3.440044 , .43415417    )äÖcircle*ä .0286234åå 
  Öput(   3.455752 , .45164943    )äÖcircle*ä .0286234åå 
  Öput(   3.471460 , .47020709    )äÖcircle*ä .0286234åå 
  Öput(   3.487168 , .48985357    )äÖcircle*ä .0286234åå 
  Öput(   3.502876 ,   .510617    )äÖcircle*ä .0286234åå 
  Öput(   3.518584 ,   .532527    )äÖcircle*ä .0286234åå 
  Öput(   3.534292 ,   .555616    )äÖcircle*ä .0286234åå 
  Öput(   3.550000 ,   .579917    )äÖcircle*ä .0286234åå 
  Öput(   3.565708 ,   .605465    )äÖcircle*ä .0286234åå 
  Öput(   3.581416 ,   .632299    )äÖcircle*ä .0286234åå 
  Öput(   3.597124 ,   .660458    )äÖcircle*ä .0286234åå 
  Öput(   3.612832 ,   .689983    )äÖcircle*ä .0286234åå 
  Öput(   3.628540 ,    .72092    )äÖcircle*ä .0286234åå 
  Öput(   3.644247 ,   .753314    )äÖcircle*ä .0286234åå 
  Öput(   3.659955 ,   .787215    )äÖcircle*ä .0286234åå 
  Öput(   3.675663 ,   .822674    )äÖcircle*ä .0286234åå 
  Öput(   3.691371 ,   .859745    )äÖcircle*ä .0286234åå 
  Öput(   3.707079 ,   .898485    )äÖcircle*ä .0286234åå 
  Öput(   3.722787 ,   .938954    )äÖcircle*ä .0286234åå 
  Öput(   3.738495 ,   .981215    )äÖcircle*ä .0286234åå 
  Öput(   3.754203 ,   1.025333   )äÖcircle*ä .0286234åå 
  Öput(   3.769911 ,   1.071377   )äÖcircle*ä .0286234åå 
  Öput(   3.785619 ,   1.119418   )äÖcircle*ä .0286234åå 
  Öput(   3.801327 ,   1.169533   )äÖcircle*ä .0286234åå 
  Öput(   3.817035 ,   1.221798   )äÖcircle*ä .0286234åå 
  Öput(   3.832743 ,   1.276297   )äÖcircle*ä .0286234åå 
  Öput(   3.848451 ,   1.333114   )äÖcircle*ä .0286234åå 
  Öput(   3.864159 ,   1.392338   )äÖcircle*ä .0286234åå 
  Öput(   3.879867 ,   1.454061   )äÖcircle*ä .0286234åå 
  Öput(   3.895575 ,   1.518379   )äÖcircle*ä .0286234åå 
  Öput(   3.911283 ,    1.58539   )äÖcircle*ä .0286234åå 
  Öput(    3.92699 ,   1.655198   )äÖcircle*ä .0286234åå 
  Öput(   3.942699 ,   1.727906   )äÖcircle*ä .0286234åå 
  Öput(   3.958407 ,   1.803623   )äÖcircle*ä .0286234åå 
  Öput(   3.974115 ,   1.882461   )äÖcircle*ä .0286234åå 
  Öput(   3.989823 ,   1.964532   )äÖcircle*ä .0286234åå 
  Öput(    4.00553 ,   2.049953   )äÖcircle*ä .0286234åå 
  Öput(   4.021239 ,   2.138840   )äÖcircle*ä .0286234åå 
  Öput(   4.036947 ,    2.23131   )äÖcircle*ä .0286234åå 
  Öput(   4.052655 ,   2.327484   )äÖcircle*ä .0286234åå 
  Öput(   4.068362 ,   2.427476   )äÖcircle*ä .0286234åå 
  Öput(    4.08407 ,   2.531403   )äÖcircle*ä .0286234åå 
  Öput(   4.099778 ,   2.639379   )äÖcircle*ä .0286234åå 
  Öput(   4.115486 ,    2.75151   )äÖcircle*ä .0286234åå 
  Öput(   4.131194 ,     2.8679   )äÖcircle*ä .0286234åå 
  Öput(   4.146902 ,   2.988644   )äÖcircle*ä .0286234åå 
  Öput(    4.16261 ,   3.113824   )äÖcircle*ä .0286234åå 
  Öput(   4.178318 ,   3.243514   )äÖcircle*ä .0286234åå 
  Öput(   4.194026 ,   3.377769   )äÖcircle*ä .0286234åå 
  Öput(   4.209734 ,   3.516628   )äÖcircle*ä .0286234åå 
  Öput(   4.225442 ,   3.660104   )äÖcircle*ä .0286234åå 
  Öput(    4.24115 ,   3.808189   )äÖcircle*ä .0286234åå 
  Öput(   4.256858 ,   3.960839   )äÖcircle*ä .0286234åå 
  Öput(   4.272566 ,    4.11798   )äÖcircle*ä .0286234åå 
  Öput(   4.288274 ,   4.279494   )äÖcircle*ä .0286234åå 
  Öput(   4.303982 ,   4.445218   )äÖcircle*ä .0286234åå 
  Öput(   4.319690 ,   4.614937   )äÖcircle*ä .0286234åå 
  Öput(   4.335398 ,   4.788382   )äÖcircle*ä .0286234åå 
  Öput(   4.351106 ,   4.965215   )äÖcircle*ä .0286234åå 
  Öput(   4.366814 ,   5.145033   )äÖcircle*ä .0286234åå 
  Öput(   4.382522 ,   5.327356   )äÖcircle*ä .0286234åå 
  Öput(   4.398230 ,   5.511625   )äÖcircle*ä .0286234åå 
  Öput(   4.413938 ,   5.697195   )äÖcircle*ä .0286234åå 
  Öput(   4.429646 ,   5.883333   )äÖcircle*ä .0286234åå 
  Öput(   4.445354 ,   6.069217   )äÖcircle*ä .0286234åå 
  Öput(   4.461062 ,   6.253936   )äÖcircle*ä .0286234åå 
  Öput(   4.476770 ,   6.436488   )äÖcircle*ä .0286234åå 
  Öput(   4.492477 ,    6.61579   )äÖcircle*ä .0286234åå 
  Öput(   4.508185 ,    6.79068   )äÖcircle*ä .0286234åå 
  Öput(   4.523893 ,   6.959935   )äÖcircle*ä .0286234åå 
  Öput(   4.539601 ,   7.122274   )äÖcircle*ä .0286234åå 
  Öput(   4.555309 ,   7.276386   )äÖcircle*ä .0286234åå 
  Öput(   4.571017 ,   7.420943   )äÖcircle*ä .0286234åå 
  Öput(   4.586725 ,   7.554627   )äÖcircle*ä .0286234åå 
  Öput(   4.602433 ,   7.676153   )äÖcircle*ä .0286234åå 
  Öput(   4.618141 ,   7.784300   )äÖcircle*ä .0286234åå 
  Öput(   4.633849 ,   7.877932   )äÖcircle*ä .0286234åå 
  Öput(   4.649557 ,   7.956036   )äÖcircle*ä .0286234åå 
  Öput(   4.665265 ,   8.017738   )äÖcircle*ä .0286234åå 
  Öput(   4.680973 ,   8.062333   )äÖcircle*ä .0286234åå 
  Öput(   4.696681 ,   8.089302   )äÖcircle*ä .0286234åå 
  Öput(   4.712389 ,   8.098328   )äÖcircle*ä .0286234åå 
  Öput(   4.728097 ,   8.089302   )äÖcircle*ä .0286234åå 
  Öput(   4.743805 ,   8.062333   )äÖcircle*ä .0286234åå 
  Öput(   4.759513 ,   8.017738   )äÖcircle*ä .0286234åå 
  Öput(    4.77522 ,   7.956036   )äÖcircle*ä .0286234åå 
  Öput(   4.790929 ,   7.877932   )äÖcircle*ä .0286234åå 
  Öput(   4.806637 ,   7.784300   )äÖcircle*ä .0286234åå 
  Öput(   4.822345 ,   7.676153   )äÖcircle*ä .0286234åå 
  Öput(   4.838053 ,   7.554627   )äÖcircle*ä .0286234åå 
  Öput(    4.85376 ,   7.420943   )äÖcircle*ä .0286234åå 
  Öput(   4.869469 ,   7.276386   )äÖcircle*ä .0286234åå 
  Öput(   4.885177 ,   7.122274   )äÖcircle*ä .0286234åå 
  Öput(   4.900885 ,   6.959935   )äÖcircle*ä .0286234åå 
  Öput(   4.916593 ,    6.79068   )äÖcircle*ä .0286234åå 
  Öput(     4.9323 ,    6.61579   )äÖcircle*ä .0286234åå 
  Öput(   4.948008 ,   6.436488   )äÖcircle*ä .0286234åå 
  Öput(   4.963716 ,   6.253936   )äÖcircle*ä .0286234åå 
  Öput(   4.979424 ,   6.069217   )äÖcircle*ä .0286234åå 
  Öput(   4.995132 ,   5.883333   )äÖcircle*ä .0286234åå 
  Öput(    5.01084 ,   5.697195   )äÖcircle*ä .0286234åå 
  Öput(   5.026548 ,   5.511625   )äÖcircle*ä .0286234åå 
  Öput(   5.042256 ,   5.327356   )äÖcircle*ä .0286234åå 
  Öput(   5.057964 ,   5.145033   )äÖcircle*ä .0286234åå 
  Öput(   5.073672 ,   4.965215   )äÖcircle*ä .0286234åå 
  Öput(    5.08938 ,   4.788382   )äÖcircle*ä .0286234åå 
  Öput(   5.105088 ,   4.614937   )äÖcircle*ä .0286234åå 
  Öput(   5.120796 ,   4.445218   )äÖcircle*ä .0286234åå 
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Öendäpictureå
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%Finis.

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