Metropoli BBS
VIEWER: sam323.txt MODE: TEXT (SF7)
apl>" <-APL2-------------------- sam323.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,i,1e6,xpi     ,1   , 0  ,0 " tanhdatw.tex

ÖbeginäfigureåÄtbhÅ
ÖcaptionäGraph of yÖ#11O7O1+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(0,4.18879)äÖline(1,0)ä6.283185åå%x axis
  Öput(  .785398 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput( 1.570796 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput( 2.356194 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput(  3.92699 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput( 4.712389 , 4.18879 )äÖcircle*ä .0286234åå 
  Öput( 5.497787 , 4.18879 )äÖcircle*ä .0286234åå 
%Draw the x axis marker values in pi
  Öput(  .685398 , 3.993313 )ä$ -Öfracä3Öpiåä4å $å 
  Öput( 1.470796 , 3.993313 )ä$  -ÖfracäÖpiåä2å $å 
  Öput( 2.256194 , 3.993313 )ä$  -ÖfracäÖpiåä4å $å 
  Öput( 3.141593 , 3.993313 )ä$               0 $å 
  Öput(  3.92699 , 3.993313 )ä$   ÖfracäÖpiåä4å $å 
  Öput( 4.712389 , 3.993313 )ä$   ÖfracäÖpiåä2å $å 
  Öput( 5.497787 , 3.993313 )ä$  Öfracä3Öpiåä4å $å 
%Draw the y axis
 Öput(3.141593,0)äÖline(0,1)ä8.37758åå%y axis
%Draw the y axis markers
  Öput( 3.141593 , 1.352633 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 , 2.770712 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 , 5.606869 )äÖcircle*ä .0286234åå 
  Öput( 3.141593 , 7.024947 )äÖcircle*ä .0286234åå 
%Draw the y axis marker values
  Öput( 3.211406 , 1.345581 )ä$ -0.2 $å 
  Öput( 3.211406 , 2.763660 )ä$ -0.1 $å 
  Öput( 3.211406 , 5.606869 )ä$   .1 $å 
  Öput( 3.211406 , 7.024947 )ä$   .2 $å 
%Draw the data points
  Öput(  .01570796 ,   4.282334   )äÖcircle*ä .0286234åå 
  Öput(  .03141593 ,   4.375844   )äÖcircle*ä .0286234åå 
  Öput(  .04712389 ,   4.469286   )äÖcircle*ä .0286234åå 
  Öput(  .06283185 ,   4.562624   )äÖcircle*ä .0286234åå 
  Öput(  .07853982 ,   4.655826   )äÖcircle*ä .0286234åå 
  Öput(  .09424778 ,   4.748854   )äÖcircle*ä .0286234åå 
  Öput(  .10995574 ,   4.841675   )äÖcircle*ä .0286234åå 
  Öput(   .1256637 ,   4.934253   )äÖcircle*ä .0286234åå 
  Öput(  .14137167 ,    5.02655   )äÖcircle*ä .0286234åå 
  Öput(  .15707963 ,   5.118531   )äÖcircle*ä .0286234åå 
  Öput(  .17278760 ,   5.210158   )äÖcircle*ä .0286234åå 
  Öput(  .18849556 ,   5.301392   )äÖcircle*ä .0286234åå 
  Öput(  .20420352 ,   5.392194   )äÖcircle*ä .0286234åå 
  Öput(  .21991149 ,   5.482524   )äÖcircle*ä .0286234åå 
  Öput(  .23561945 ,   5.572341   )äÖcircle*ä .0286234åå 
  Öput(  .25132741 ,   5.661603   )äÖcircle*ä .0286234åå 
  Öput(  .26703538 ,   5.750266   )äÖcircle*ä .0286234åå 
  Öput(  .28274334 ,   5.838287   )äÖcircle*ä .0286234åå 
  Öput(   .2984513 ,   5.925618   )äÖcircle*ä .0286234åå 
  Öput(  .31415927 ,   6.012214   )äÖcircle*ä .0286234åå 
  Öput(  .32986723 ,   6.098024   )äÖcircle*ä .0286234åå 
  Öput(  .34557519 ,      6.183   )äÖcircle*ä .0286234åå 
  Öput(  .36128316 ,   6.267089   )äÖcircle*ä .0286234åå 
  Öput(  .37699112 ,   6.350238   )äÖcircle*ä .0286234åå 
  Öput(  .39269908 ,    6.43239   )äÖcircle*ä .0286234åå 
  Öput(  .40840704 ,   6.513491   )äÖcircle*ä .0286234åå 
  Öput(    .424115 ,    6.59348   )äÖcircle*ä .0286234åå 
  Öput(  .43982297 ,   6.672297   )äÖcircle*ä .0286234åå 
  Öput(  .45553093 ,   6.749877   )äÖcircle*ä .0286234åå 
  Öput(  .47123890 ,   6.826157   )äÖcircle*ä .0286234åå 
  Öput(  .48694686 ,   6.901069   )äÖcircle*ä .0286234åå 
  Öput(    .502655 ,   6.974544   )äÖcircle*ä .0286234åå 
  Öput(    .518363 ,   7.046510   )äÖcircle*ä .0286234åå 
  Öput(     .53407 ,   7.116892   )äÖcircle*ä .0286234åå 
  Öput(    .549779 ,   7.185615   )äÖcircle*ä .0286234åå 
  Öput(    .565487 ,     7.2526   )äÖcircle*ä .0286234åå 
  Öput(    .581195 ,   7.317765   )äÖcircle*ä .0286234åå 
  Öput(    .596903 ,   7.381027   )äÖcircle*ä .0286234åå 
  Öput(     .61261 ,     7.4423   )äÖcircle*ä .0286234åå 
  Öput(    .628319 ,   7.501496   )äÖcircle*ä .0286234åå 
  Öput(    .644026 ,   7.558523   )äÖcircle*ä .0286234åå 
  Öput(    .659734 ,   7.613288   )äÖcircle*ä .0286234åå 
  Öput(    .675442 ,   7.665697   )äÖcircle*ä .0286234åå 
  Öput(     .69115 ,    7.71565   )äÖcircle*ä .0286234åå 
  Öput(    .706858 ,   7.763049   )äÖcircle*ä .0286234åå 
  Öput(    .722566 ,    7.80779   )äÖcircle*ä .0286234åå 
  Öput(    .738274 ,    7.84977   )äÖcircle*ä .0286234åå 
  Öput(    .753982 ,   7.888883   )äÖcircle*ä .0286234åå 
  Öput(     .76969 ,    7.92502   )äÖcircle*ä .0286234åå 
  Öput(    .785398 ,   7.958075   )äÖcircle*ä .0286234åå 
  Öput(    .801106 ,   7.987934   )äÖcircle*ä .0286234åå 
  Öput(    .816814 ,   8.014487   )äÖcircle*ä .0286234åå 
  Öput(    .832522 ,   8.037622   )äÖcircle*ä .0286234åå 
  Öput(     .84823 ,   8.057225   )äÖcircle*ä .0286234åå 
  Öput(    .863938 ,   8.073184   )äÖcircle*ä .0286234åå 
  Öput(    .879646 ,   8.085386   )äÖcircle*ä .0286234åå 
  Öput(    .895354 ,   8.093717   )äÖcircle*ä .0286234åå 
  Öput(    .911062 ,   8.098068   )äÖcircle*ä .0286234åå 
  Öput(    .926770 ,   8.098328   )äÖcircle*ä .0286234åå 
  Öput(    .942478 ,   8.094388   )äÖcircle*ä .0286234åå 
  Öput(    .958186 ,   8.086145   )äÖcircle*ä .0286234åå 
  Öput(    .973894 ,   8.073494   )äÖcircle*ä .0286234åå 
  Öput(    .989602 ,   8.056338   )äÖcircle*ä .0286234åå 
  Öput(   1.005310 ,    8.03458   )äÖcircle*ä .0286234åå 
  Öput(   1.021018 ,   8.008134   )äÖcircle*ä .0286234åå 
  Öput(   1.036726 ,   7.976913   )äÖcircle*ä .0286234åå 
  Öput(   1.052434 ,    7.94084   )äÖcircle*ä .0286234åå 
  Öput(   1.068142 ,   7.899846   )äÖcircle*ä .0286234åå 
  Öput(   1.083849 ,   7.853865   )äÖcircle*ä .0286234åå 
  Öput(   1.099557 ,   7.802846   )äÖcircle*ä .0286234åå 
  Öput(   1.115265 ,   7.746743   )äÖcircle*ä .0286234åå 
  Öput(   1.130973 ,    7.68552   )äÖcircle*ä .0286234åå 
  Öput(   1.146681 ,   7.619156   )äÖcircle*ä .0286234åå 
  Öput(   1.162389 ,   7.547636   )äÖcircle*ä .0286234åå 
  Öput(   1.178097 ,   7.470963   )äÖcircle*ä .0286234åå 
  Öput(   1.193805 ,   7.389149   )äÖcircle*ä .0286234åå 
  Öput(   1.209513 ,   7.302223   )äÖcircle*ä .0286234åå 
  Öput(   1.225221 ,   7.210225   )äÖcircle*ä .0286234åå 
  Öput(   1.240929 ,   7.113213   )äÖcircle*ä .0286234åå 
  Öput(   1.256637 ,   7.011260   )äÖcircle*ä .0286234åå 
  Öput(   1.272345 ,   6.904453   )äÖcircle*ä .0286234åå 
  Öput(   1.288053 ,   6.792899   )äÖcircle*ä .0286234åå 
  Öput(   1.303761 ,   6.676718   )äÖcircle*ä .0286234åå 
  Öput(   1.319469 ,   6.556049   )äÖcircle*ä .0286234åå 
  Öput(   1.335177 ,   6.431047   )äÖcircle*ä .0286234åå 
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  Öput(   1.994911 ,   .758425    )äÖcircle*ä .0286234åå 
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  Öput(   2.073451 , .47773489    )äÖcircle*ä .0286234åå 
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  Öput(    2.38761 , .48869759    )äÖcircle*ä .0286234åå 
  Öput(   2.403318 ,    .52781    )äÖcircle*ä .0286234åå 
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  Öput(    2.46615 ,   .711884    )äÖcircle*ä .0286234åå 
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  Öput(   2.513274 ,   .876085    )äÖcircle*ä .0286234åå 
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  Öput(    2.54469 ,   .996553    )äÖcircle*ä .0286234åå 
  Öput(   2.560398 ,   1.059815   )äÖcircle*ä .0286234åå 
  Öput(   2.576106 ,    1.12498   )äÖcircle*ä .0286234åå 
  Öput(   2.591814 ,   1.191965   )äÖcircle*ä .0286234åå 
  Öput(   2.607522 ,   1.260688   )äÖcircle*ä .0286234åå 
  Öput(   2.623230 ,    1.33107   )äÖcircle*ä .0286234åå 
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  Öput(   2.654646 ,   1.476511   )äÖcircle*ä .0286234åå 
  Öput(   2.670354 ,   1.551423   )äÖcircle*ä .0286234åå 
  Öput(   2.686062 ,   1.627703   )äÖcircle*ä .0286234åå 
  Öput(   2.701770 ,   1.705284   )äÖcircle*ä .0286234åå 
  Öput(   2.717478 ,     1.7841   )äÖcircle*ä .0286234åå 
  Öput(   2.733186 ,   1.864089   )äÖcircle*ä .0286234åå 
  Öput(   2.748894 ,   1.945190   )äÖcircle*ä .0286234åå 
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  Öput(   2.780309 ,   2.110491   )äÖcircle*ä .0286234åå 
  Öput(   2.796017 ,    2.19458   )äÖcircle*ä .0286234åå 
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  Öput(   2.827433 ,   2.365367   )äÖcircle*ä .0286234åå 
  Öput(   2.843141 ,   2.451962   )äÖcircle*ä .0286234åå 
  Öput(   2.858849 ,   2.539294   )äÖcircle*ä .0286234åå 
  Öput(   2.874557 ,   2.627314   )äÖcircle*ä .0286234åå 
  Öput(   2.890265 ,   2.715977   )äÖcircle*ä .0286234åå 
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  Öput(   2.937389 ,   2.985387   )äÖcircle*ä .0286234åå 
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  Öput(   2.984513 ,   3.259049   )äÖcircle*ä .0286234åå 
  Öput(   3.000221 ,    3.35103   )äÖcircle*ä .0286234åå 
  Öput(   3.015929 ,   3.443328   )äÖcircle*ä .0286234åå 
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  Öput(   3.110177 ,   4.001736   )äÖcircle*ä .0286234åå 
  Öput(   3.125885 ,   4.095246   )äÖcircle*ä .0286234åå 
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  Öput(   3.188717 ,   4.469286   )äÖcircle*ä .0286234åå 
  Öput(   3.204425 ,   4.562624   )äÖcircle*ä .0286234åå 
  Öput(   3.220132 ,   4.655826   )äÖcircle*ä .0286234åå 
  Öput(    3.23584 ,   4.748854   )äÖcircle*ä .0286234åå 
  Öput(   3.251548 ,   4.841675   )äÖcircle*ä .0286234åå 
  Öput(   3.267256 ,   4.934253   )äÖcircle*ä .0286234åå 
  Öput(   3.282964 ,    5.02655   )äÖcircle*ä .0286234åå 
  Öput(   3.298672 ,   5.118531   )äÖcircle*ä .0286234åå 
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  Öput(   3.330088 ,   5.301392   )äÖcircle*ä .0286234åå 
  Öput(   3.345796 ,   5.392194   )äÖcircle*ä .0286234åå 
  Öput(   3.361504 ,   5.482524   )äÖcircle*ä .0286234åå 
  Öput(   3.377212 ,   5.572341   )äÖcircle*ä .0286234åå 
  Öput(    3.39292 ,   5.661603   )äÖcircle*ä .0286234åå 
  Öput(   3.408628 ,   5.750266   )äÖcircle*ä .0286234åå 
  Öput(   3.424336 ,   5.838287   )äÖcircle*ä .0286234åå 
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  Öput(   3.455752 ,   6.012214   )äÖcircle*ä .0286234åå 
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  Öput(   3.550000 ,   6.513491   )äÖcircle*ä .0286234åå 
  Öput(   3.565708 ,    6.59348   )äÖcircle*ä .0286234åå 
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  Öput(   3.597124 ,   6.749877   )äÖcircle*ä .0286234åå 
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  Öput(   3.628540 ,   6.901069   )äÖcircle*ä .0286234åå 
  Öput(   3.644247 ,   6.974544   )äÖcircle*ä .0286234åå 
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  Öput(   3.675663 ,   7.116892   )äÖcircle*ä .0286234åå 
  Öput(   3.691371 ,   7.185615   )äÖcircle*ä .0286234åå 
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  Öput(   3.722787 ,   7.317765   )äÖcircle*ä .0286234åå 
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  Öput(   3.754203 ,     7.4423   )äÖcircle*ä .0286234åå 
  Öput(   3.769911 ,   7.501496   )äÖcircle*ä .0286234åå 
  Öput(   3.785619 ,   7.558523   )äÖcircle*ä .0286234åå 
  Öput(   3.801327 ,   7.613288   )äÖcircle*ä .0286234åå 
  Öput(   3.817035 ,   7.665697   )äÖcircle*ä .0286234åå 
  Öput(   3.832743 ,    7.71565   )äÖcircle*ä .0286234åå 
  Öput(   3.848451 ,   7.763049   )äÖcircle*ä .0286234åå 
  Öput(   3.864159 ,    7.80779   )äÖcircle*ä .0286234åå 
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  Öput(   3.895575 ,   7.888883   )äÖcircle*ä .0286234åå 
  Öput(   3.911283 ,    7.92502   )äÖcircle*ä .0286234åå 
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  Öput(   3.942699 ,   7.987934   )äÖcircle*ä .0286234åå 
  Öput(   3.958407 ,   8.014487   )äÖcircle*ä .0286234åå 
  Öput(   3.974115 ,   8.037622   )äÖcircle*ä .0286234åå 
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  Öput(    4.00553 ,   8.073184   )äÖcircle*ä .0286234åå 
  Öput(   4.021239 ,   8.085386   )äÖcircle*ä .0286234åå 
  Öput(   4.036947 ,   8.093717   )äÖcircle*ä .0286234åå 
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  Öput(   4.068362 ,   8.098328   )äÖcircle*ä .0286234åå 
  Öput(    4.08407 ,   8.094388   )äÖcircle*ä .0286234åå 
  Öput(   4.099778 ,   8.086145   )äÖcircle*ä .0286234åå 
  Öput(   4.115486 ,   8.073494   )äÖcircle*ä .0286234åå 
  Öput(   4.131194 ,   8.056338   )äÖcircle*ä .0286234åå 
  Öput(   4.146902 ,    8.03458   )äÖcircle*ä .0286234åå 
  Öput(    4.16261 ,   8.008134   )äÖcircle*ä .0286234åå 
  Öput(   4.178318 ,   7.976913   )äÖcircle*ä .0286234åå 
  Öput(   4.194026 ,    7.94084   )äÖcircle*ä .0286234åå 
  Öput(   4.209734 ,   7.899846   )äÖcircle*ä .0286234åå 
  Öput(   4.225442 ,   7.853865   )äÖcircle*ä .0286234åå 
  Öput(    4.24115 ,   7.802846   )äÖcircle*ä .0286234åå 
  Öput(   4.256858 ,   7.746743   )äÖcircle*ä .0286234åå 
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  Öput(   4.288274 ,   7.619156   )äÖcircle*ä .0286234åå 
  Öput(   4.303982 ,   7.547636   )äÖcircle*ä .0286234åå 
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  Öput(   4.335398 ,   7.389149   )äÖcircle*ä .0286234åå 
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  Öput(   4.413938 ,   6.904453   )äÖcircle*ä .0286234åå 
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  Öput(   4.445354 ,   6.676718   )äÖcircle*ä .0286234åå 
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  Öput(   4.602433 ,   5.299032   )äÖcircle*ä .0286234åå 
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  Öput(   4.712389 ,    4.18879   )äÖcircle*ä .0286234åå 
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  Öput(   4.743805 ,   3.866661   )äÖcircle*ä .0286234åå 
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  Öput(    4.77522 ,   3.547176   )äÖcircle*ä .0286234åå 
  Öput(   4.790929 ,   3.389238   )äÖcircle*ä .0286234åå 
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  Öput(   4.838053 ,   2.926404   )äÖcircle*ä .0286234åå 
  Öput(    4.85376 ,    2.77678   )äÖcircle*ä .0286234åå 
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  Öput(   4.885177 ,    2.48619   )äÖcircle*ä .0286234åå 
  Öput(   4.900885 ,   2.345738   )äÖcircle*ä .0286234åå 
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  Öput(     4.9323 ,   2.075697   )äÖcircle*ä .0286234åå 
  Öput(   4.948008 ,   1.946534   )äÖcircle*ä .0286234åå 
  Öput(   4.963716 ,   1.821532   )äÖcircle*ä .0286234åå 
  Öput(   4.979424 ,   1.700862   )äÖcircle*ä .0286234åå 
  Öput(   4.995132 ,   1.584681   )äÖcircle*ä .0286234åå 
  Öput(    5.01084 ,   1.473127   )äÖcircle*ä .0286234åå 
  Öput(   5.026548 ,    1.36632   )äÖcircle*ä .0286234åå 
  Öput(   5.042256 ,   1.264367   )äÖcircle*ä .0286234åå 
  Öput(   5.057964 ,   1.167356   )äÖcircle*ä .0286234åå 
  Öput(   5.073672 ,   1.075358   )äÖcircle*ä .0286234åå 
  Öput(    5.08938 ,   .988431    )äÖcircle*ä .0286234åå 
  Öput(   5.105088 ,   .906617    )äÖcircle*ä .0286234åå 
  Öput(   5.120796 ,   .829944    )äÖcircle*ä .0286234åå 
  Öput(   5.136504 ,   .758425    )äÖcircle*ä .0286234åå 
  Öput(   5.152212 ,    .69206    )äÖcircle*ä .0286234åå 
  Öput(    5.16792 ,   .630838    )äÖcircle*ä .0286234åå 
  Öput(   5.183628 ,   .574734    )äÖcircle*ä .0286234åå 
  Öput(   5.199336 ,   .523715    )äÖcircle*ä .0286234åå 
  Öput(   5.215044 , .47773489    )äÖcircle*ä .0286234åå 
  Öput(   5.230752 , .43673996    )äÖcircle*ä .0286234åå 
  Öput(   5.246460 , .40066737    )äÖcircle*ä .0286234åå 
  Öput(   5.262168 , .36944651    )äÖcircle*ä .0286234åå 
  Öput(   5.277876 , .34299968    )äÖcircle*ä .0286234åå 
  Öput(   5.293584 , .32124285    )äÖcircle*ä .0286234åå 
  Öput(   5.309292 , .30408637    )äÖcircle*ä .0286234åå 
  Öput(   5.325000 , .29143568    )äÖcircle*ä .0286234åå 
  Öput(   5.340708 , .28319194    )äÖcircle*ä .0286234åå 
  Öput(   5.356415 , .27925268    )äÖcircle*ä .0286234åå 
  Öput(   5.372123 , .27951239    )äÖcircle*ä .0286234åå 
  Öput(   5.387831 , .28386308    )äÖcircle*ä .0286234åå 
  Öput(   5.403539 , .29219486    )äÖcircle*ä .0286234åå 
  Öput(   5.419247 , .30439635    )äÖcircle*ä .0286234åå 
  Öput(   5.434955 ,  .3203552    )äÖcircle*ä .0286234åå 
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Öendäpictureå
Öendäcenterå
%Finis.

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