Metropoli BBS
VIEWER: sam306.txt MODE: TEXT (SF7)
apl>" <-APL2-------------------- sam306.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> '*x'  graph 0,0,1,r,1e6,-5,5,1,0,10,0

ÖbeginäfigureåÄtbhÅ
ÖcaptionäGraph of yÖ#*xå
Öbeginäcenterå
ÖsetlengthäÖunitlengthåä .03773422inå
Öbeginäpictureå(119.2552,159.0069)
%Draw a frame around the picture
 Öput(0,0)äÖline(1,0)ä119.2552åå% bottom
 Öput(0,0)äÖline(0,1)ä159.0069åå% left
 Öput(0,159.0069)äÖline(1,0)ä119.2552åå% top
 Öput(119.2552,0)äÖline(0,1)ä159.0069åå% right
%Draw the x axis
 Öput(0,0)äÖline(1,0)ä119.2552åå%x axis
  Öput( 11.92552 , 0 )äÖcircle*ä .543274åå 
  Öput( 23.85103 , 0 )äÖcircle*ä .543274åå 
  Öput( 35.77655 , 0 )äÖcircle*ä .543274åå 
  Öput( 47.70206 , 0 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 0 )äÖcircle*ä .543274åå 
  Öput( 71.55310 , 0 )äÖcircle*ä .543274åå 
  Öput( 83.47861 , 0 )äÖcircle*ä .543274åå 
  Öput( 95.40413 , 0 )äÖcircle*ä .543274åå 
  Öput( 107.3296 , 0 )äÖcircle*ä .543274åå 
%Draw the x axis marker values
  Öput( 11.91713 , 0 )ä$ -4 $å 
  Öput( 23.84265 , 0 )ä$ -3 $å 
  Öput( 35.76816 , 0 )ä$ -2 $å 
  Öput( 47.69368 , 0 )ä$ -1 $å 
  Öput( 59.62758 , 0 )ä$  0 $å 
  Öput( 71.55310 , 0 )ä$  1 $å 
  Öput( 83.47861 , 0 )ä$  2 $å 
  Öput( 95.40413 , 0 )ä$  3 $å 
  Öput( 107.3296 , 0 )ä$  4 $å 
%Draw the y axis
 Öput(59.62758,0)äÖline(0,1)ä159.0069åå%y axis
%Draw the y axis markers
  Öput( 59.62758 , 15.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 25.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 35.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 45.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 55.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 65.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 75.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 85.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 95.29349 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 105.2935 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 115.2935 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 125.2935 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 135.2935 )äÖcircle*ä .543274åå 
  Öput( 59.62758 , 145.2935 )äÖcircle*ä .543274åå 
%Draw the y axis marker values
  Öput( 60.95264 , 15.29349 )ä$  10 $å 
  Öput( 60.95264 , 25.29349 )ä$  20 $å 
  Öput( 60.95264 , 35.29349 )ä$  30 $å 
  Öput( 60.95264 , 45.29349 )ä$  40 $å 
  Öput( 60.95264 , 55.29349 )ä$  50 $å 
  Öput( 60.95264 , 65.29349 )ä$  60 $å 
  Öput( 60.95264 , 75.29349 )ä$  70 $å 
  Öput( 60.95264 , 85.29349 )ä$  80 $å 
  Öput( 60.95264 , 95.29349 )ä$  90 $å 
  Öput( 60.95264 , 105.2935 )ä$ 100 $å 
  Öput( 60.95264 , 115.2935 )ä$ 110 $å 
  Öput( 60.95264 , 125.2935 )ä$ 120 $å 
  Öput( 60.95264 , 135.2935 )ä$ 130 $å 
  Öput( 60.95264 , 145.2935 )ä$ 140 $å 
%Draw the data points
  Öput(  .596276 , 5.300575   )äÖcircle*ä .543274åå 
  Öput( 1.192552 , 5.300938   )äÖcircle*ä .543274åå 
  Öput( 1.788827 , 5.301320   )äÖcircle*ä .543274åå 
  Öput( 2.385103 , 5.301721   )äÖcircle*ä .543274åå 
  Öput( 2.981379 , 5.302143   )äÖcircle*ä .543274åå 
  Öput( 3.577655 , 5.302587   )äÖcircle*ä .543274åå 
  Öput(  4.17393 , 5.303053   )äÖcircle*ä .543274åå 
  Öput( 4.770206 , 5.303543   )äÖcircle*ä .543274åå 
  Öput( 5.366482 , 5.304059   )äÖcircle*ä .543274åå 
  Öput( 5.962758 ,   5.3046   )äÖcircle*ä .543274åå 
  Öput( 6.559034 ,  5.30517   )äÖcircle*ä .543274åå 
  Öput( 7.155310 , 5.305769   )äÖcircle*ä .543274åå 
  Öput( 7.751585 , 5.306398   )äÖcircle*ä .543274åå 
  Öput( 8.347861 ,  5.30706   )äÖcircle*ä .543274åå 
  Öput( 8.944137 , 5.307756   )äÖcircle*ä .543274åå 
  Öput(  9.54041 , 5.308487   )äÖcircle*ä .543274åå 
  Öput( 10.13669 , 5.309256   )äÖcircle*ä .543274åå 
  Öput( 10.73296 , 5.310064   )äÖcircle*ä .543274åå 
  Öput( 11.32924 , 5.310914   )äÖcircle*ä .543274åå 
  Öput( 11.92552 , 5.311807   )äÖcircle*ä .543274åå 
  Öput( 12.52179 , 5.312746   )äÖcircle*ä .543274åå 
  Öput( 13.11807 , 5.313733   )äÖcircle*ä .543274åå 
  Öput( 13.71434 , 5.314771   )äÖcircle*ä .543274åå 
  Öput( 14.31062 , 5.315862   )äÖcircle*ä .543274åå 
  Öput( 14.90689 , 5.317009   )äÖcircle*ä .543274åå 
  Öput( 15.50317 , 5.318215   )äÖcircle*ä .543274åå 
  Öput( 16.09945 , 5.319483   )äÖcircle*ä .543274åå 
  Öput( 16.69572 , 5.320815   )äÖcircle*ä .543274åå 
  Öput( 17.29200 , 5.322216   )äÖcircle*ä .543274åå 
  Öput( 17.88827 , 5.323689   )äÖcircle*ä .543274åå 
  Öput( 18.48455 , 5.325237   )äÖcircle*ä .543274åå 
  Öput( 19.08083 , 5.326865   )äÖcircle*ä .543274åå 
  Öput(  19.6771 , 5.328576   )äÖcircle*ä .543274åå 
  Öput( 20.27338 , 5.330375   )äÖcircle*ä .543274åå 
  Öput( 20.86965 , 5.332266   )äÖcircle*ä .543274åå 
  Öput( 21.46593 , 5.334254   )äÖcircle*ä .543274åå 
  Öput(  22.0622 , 5.336344   )äÖcircle*ä .543274åå 
  Öput( 22.65848 ,  5.33854   )äÖcircle*ä .543274åå 
  Öput( 23.25476 ,  5.34085   )äÖcircle*ä .543274åå 
  Öput( 23.85103 , 5.343278   )äÖcircle*ä .543274åå 
  Öput(  24.4473 , 5.345831   )äÖcircle*ä .543274åå 
  Öput( 25.04358 , 5.348515   )äÖcircle*ä .543274åå 
  Öput( 25.63986 , 5.351336   )äÖcircle*ä .543274åå 
  Öput( 26.23614 , 5.354301   )äÖcircle*ä .543274åå 
  Öput( 26.83241 , 5.357419   )äÖcircle*ä .543274åå 
  Öput( 27.42869 , 5.360697   )äÖcircle*ä .543274åå 
  Öput( 28.02496 , 5.364143   )äÖcircle*ä .543274åå 
  Öput( 28.62124 , 5.367765   )äÖcircle*ä .543274åå 
  Öput( 29.21751 , 5.371573   )äÖcircle*ä .543274åå 
  Öput( 29.81379 , 5.375576   )äÖcircle*ä .543274åå 
  Öput( 30.41007 , 5.379785   )äÖcircle*ä .543274åå 
  Öput( 31.00634 , 5.384209   )äÖcircle*ä .543274åå 
  Öput( 31.60262 ,  5.38886   )äÖcircle*ä .543274åå 
  Öput( 32.19889 ,  5.39375   )äÖcircle*ä .543274åå 
  Öput( 32.79517 ,  5.39889   )äÖcircle*ä .543274åå 
  Öput( 33.39144 , 5.404295   )äÖcircle*ä .543274åå 
  Öput( 33.98772 , 5.409976   )äÖcircle*ä .543274åå 
  Öput( 34.58400 , 5.415948   )äÖcircle*ä .543274åå 
  Öput( 35.18027 , 5.422226   )äÖcircle*ä .543274åå 
  Öput( 35.77655 , 5.428827   )äÖcircle*ä .543274åå 
  Öput( 36.37282 , 5.435765   )äÖcircle*ä .543274åå 
  Öput(  36.9691 ,  5.44306   )äÖcircle*ä .543274åå 
  Öput( 37.56538 , 5.450729   )äÖcircle*ä .543274åå 
  Öput( 38.16165 ,  5.45879   )äÖcircle*ä .543274åå 
  Öput( 38.75793 , 5.467265   )äÖcircle*ä .543274åå 
  Öput(  39.3542 , 5.476175   )äÖcircle*ä .543274åå 
  Öput( 39.95048 , 5.485541   )äÖcircle*ä .543274åå 
  Öput( 40.54675 , 5.495388   )äÖcircle*ä .543274åå 
  Öput( 41.14303 , 5.505739   )äÖcircle*ä .543274åå 
  Öput(  41.7393 , 5.516622   )äÖcircle*ä .543274åå 
  Öput( 42.33558 , 5.528062   )äÖcircle*ä .543274åå 
  Öput( 42.93186 , 5.540088   )äÖcircle*ä .543274åå 
  Öput( 43.52813 , 5.552732   )äÖcircle*ä .543274åå 
  Öput( 44.12441 , 5.566023   )äÖcircle*ä .543274åå 
  Öput( 44.72068 , 5.579996   )äÖcircle*ä .543274åå 
  Öput( 45.31696 , 5.594686   )äÖcircle*ä .543274åå 
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%Finis.

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