
 	 .................... EXAMPLE:   1 .......... 

y =

         0         0   -0.1184   -0.1184   -0.3761


r =

    1.0000    0.6120    0.5663    1.0761    1.2810


 	 $  5$ & $7e-16$ & $   1414$ & $     21$ & $   67.3$ 
 	 $ 10$ & $2e-15$ & $   4848$ & $     66$ & $   73.5$ 
 	 $ 15$ & $4e-15$ & $   9292$ & $    136$ & $   68.3$ 
 	 $ 20$ & $5e-15$ & $  15756$ & $    231$ & $   68.2$ {Operation terminated by user during <a href="matlab:matlab.internal.language.introspective.errorDocCallback('lsqnonneg', '/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m', 192)" style="font-weight:bold">lsqnonneg</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m',192,0)">line 192</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('comprexcub', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB/comprexcub.m', 51)" style="font-weight:bold">comprexcub</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB/comprexcub.m',51,0)">line 51</a>)
        weights=lsqnonneg(Q',orthmom);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_I', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB/demo_optics_I.m', 140)" style="font-weight:bold">demo_optics_I</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB/demo_optics_I.m',140,0)">line 140</a>)
    [xyc,w,momerr1] = comprexcub(ade,xyw(:,1:2),xyw(:,3),pos);
} 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 

titlestr =

    'Quadrature points of the new formula (before compression)Cardinality:4848. Ade:10.'

demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
[Warning: Error updating Text.

 String scalar or character vector must have valid interpreter
 syntax:
Quadrature points of the new formula (before
compression).\nCardinality:4848. Ade:10.
] 
[> In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('defaulterrorcallback', '/Applications/MATLAB_R2018a.app/toolbox/matlab/graphics/defaulterrorcallback.m', 12)" style="font-weight:bold">defaulterrorcallback</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/graphics/defaulterrorcallback.m',12,0)">line 12</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss_II', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m', 176)" style="font-weight:bold">demo_polygauss_II</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m',176,0)">line 176</a>)] 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA


demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 9.314086397628063e+03
  ICOMP: 9.314086397628062e+03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA 
 
demo_polygauss_II(1)
[Warning: Polyshape has duplicate vertices, intersections, or other
inconsistencies that may produce inaccurate or unexpected results.
Input data has been modified to create a well-defined polyshape.] 
[> In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape/checkAndSimplify', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 421)" style="font-weight:bold">polyshape/checkAndSimplify</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',421,0)">line 421</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 155)" style="font-weight:bold">polyshape</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',155,0)">line 155</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss_II', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m', 67)" style="font-weight:bold">demo_polygauss_II</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m',67,0)">line 67</a>)] 
[Warning: Polyshape has duplicate vertices, intersections, or other
inconsistencies that may produce inaccurate or unexpected results.
Input data has been modified to create a well-defined polyshape.] 
[> In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape/checkAndSimplify', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 421)" style="font-weight:bold">polyshape/checkAndSimplify</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',421,0)">line 421</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 155)" style="font-weight:bold">polyshape</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',155,0)">line 155</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss_II', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m', 68)" style="font-weight:bold">demo_polygauss_II</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m',68,0)">line 68</a>)] 
[Warning: Polyshape has duplicate vertices, intersections, or other
inconsistencies that may produce inaccurate or unexpected results.
Input data has been modified to create a well-defined polyshape.] 
[> In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape/checkAndSimplify', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 421)" style="font-weight:bold">polyshape/checkAndSimplify</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',421,0)">line 421</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polyshape', '/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m', 155)" style="font-weight:bold">polyshape</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/polyfun/@polyshape/polyshape.m',155,0)">line 155</a>)
  In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss_II', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m', 69)" style="font-weight:bold">demo_polygauss_II</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_281118_POLYGONS/MATLAB_QUICK_DEMO/demo_polygauss_II.m',69,0)">line 69</a>)] 

 *** DATA ***
  EXAMPLE:       1
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    7080
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 5.558449117163594e+09
  ICOMP: 5.558449117163622e+09
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA 
 
demo_polygauss_II(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    7080
  #COMP:      66
 *** CUBATURE RESULTS ***
  IFULL: 5.558449117163594e+09
  ICOMP: 5.558449117163622e+09
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA 
 
demo_polygauss_II(2)

 *** DATA ***
  EXAMPLE:       2
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    4848
  #COMP:      66
 *** CUB
 	 .................... EXAMPLE:   0 .......... 
{Operation terminated by user during <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polygauss_2018', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m', 214)" style="font-weight:bold">polygauss_2018</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m',214,0)">line 214</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_III', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m', 120)" style="font-weight:bold">demo_optics_III</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m',120,0)">line 120</a>)
[xyw,xvc,yvc,pgon,tri]=polygauss_2018(ade,P);
} 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 
{Undefined function or variable 'deg'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_III', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m', 146)" style="font-weight:bold">demo_optics_III</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m',146,0)">line 146</a>)
    Ifull=compute_integral(deg,coeffs,xyw(:,1:2),xyw(:,3));
} 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.192088890880994e-01
 	 Icomp polyg.: 7.192088890881102e-01
 	 Ifull vap   : 7.423611822924018e-01
 	 Icomp vap   : 7.423611822924319e-01
 	 Ifull c.nsl.: 7.423611822924103e-01
 	 Icomp c.nsl.: 7.423611822924334e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.315229320430234e-02
 	 Icomp polyg.: 2.315229320429157e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.118737045599335e-02
 	 Icomp polyg.: 3.118737045597884e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.827791194123444e-01
 	 Icomp polyg.: 5.827791194123459e-01
 	 Ifull vap   : 6.112401213495517e-01
 	 Icomp vap   : 6.112401213495515e-01
 	 Ifull c.nsl.: 6.112401213495703e-01
 	 Icomp c.nsl.: 6.112401213495973e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.846100193720735e-02
 	 Icomp polyg.: 2.846100193720580e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.656271887776044e-02
 	 Icomp polyg.: 4.656271887775789e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.189011080391644e+00
 	 Icomp polyg.: 1.189011080391637e+00
 	 Ifull vap   : 1.214104449350076e+00
 	 Icomp vap   : 1.214104449350009e+00
 	 Ifull c.nsl.: 1.214104449350096e+00
 	 Icomp c.nsl.: 1.214104449350160e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.509336895843139e-02
 	 Icomp polyg.: 2.509336895843850e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.066821266643423e-02
 	 Icomp polyg.: 2.066821266644009e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: -1.861343445126200e-01
 	 Icomp polyg.: -1.861343445126138e-01
 	 Ifull vap   : -1.662979385160743e-01
 	 Icomp vap   : -1.662979385160360e-01
 	 Ifull c.nsl.: -1.662979385160674e-01
 	 Icomp c.nsl.: -1.662979385160354e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.983640599654571e-02
 	 Icomp polyg.: 1.983640599653946e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.192823325024460e-01
 	 Icomp polyg.: 1.192823325024085e-01 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.888613909678778e-01
 	 Icomp polyg.: 4.888613909678671e-01
 	 Ifull vap   : 5.147950659438403e-01
 	 Icomp vap   : 5.147950659437251e-01
 	 Ifull c.nsl.: 5.147950659438789e-01
 	 Icomp c.nsl.: 5.147950659439455e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.593367497596250e-02
 	 Icomp polyg.: 2.593367497597321e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.037669684812332e-02
 	 Icomp polyg.: 5.037669684814413e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.543516997471269e-01
 	 Icomp polyg.: 4.543516997471230e-01
 	 Ifull vap   : 4.739691581942737e-01
 	 Icomp vap   : 4.739691581941978e-01
 	 Ifull c.nsl.: 4.739691581942932e-01
 	 Icomp c.nsl.: 4.739691581943735e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.961745844714685e-02
 	 Icomp polyg.: 1.961745844715068e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.138973624757650e-02
 	 Icomp polyg.: 4.138973624758458e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.114868576773934e-01
 	 Icomp polyg.: 7.114868576773872e-01
 	 Ifull vap   : 7.291651737028182e-01
 	 Icomp vap   : 7.291651737027915e-01
 	 Ifull c.nsl.: 7.291651737028315e-01
 	 Icomp c.nsl.: 7.291651737028788e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.767831602542480e-02
 	 Icomp polyg.: 1.767831602543102e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.424459733266122e-02
 	 Icomp polyg.: 2.424459733266975e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.057934817611521e-01
 	 Icomp polyg.: 3.057934817611479e-01
 	 Ifull vap   : 3.330064007313061e-01
 	 Icomp vap   : 3.330064007313460e-01
 	 Ifull c.nsl.: 3.330064007313394e-01
 	 Icomp c.nsl.: 3.330064007313697e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.721291897015399e-02
 	 Icomp polyg.: 2.721291897015815e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.171890663480479e-02
 	 Icomp polyg.: 8.171890663481729e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.820442320977079e-01
 	 Icomp polyg.: 3.820442320977092e-01
 	 Ifull vap   : 4.053289114720386e-01
 	 Icomp vap   : 4.053289114719965e-01
 	 Ifull c.nsl.: 4.053289114720537e-01
 	 Icomp c.nsl.: 4.053289114720747e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.328467937433076e-02
 	 Icomp polyg.: 2.328467937432943e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.744638172926641e-02
 	 Icomp polyg.: 5.744638172926313e-02 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.139288570941600e-02
 	 Icomp polyg.: 8.139288570941763e-02
 	 Ifull vap   : 9.304823988624572e-02
 	 Icomp vap   : 9.304823988628530e-02
 	 Ifull c.nsl.: 9.304823988624997e-02
 	 Icomp c.nsl.: 9.304823988630190e-02
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.165535417682972e-02
 	 Icomp polyg.: 1.165535417682809e-02
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.252614148432979e-01
 	 Icomp polyg.: 1.252614148432803e-01 
 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:    50
 	 lens sides  :     105
 
 	 ** Cardinalities
 	 polyg. lens full:    2472
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.709888500000000e-02
 	 FULL RULE     : 1.380633600000000e-02
 	 COMP RULE     : 9.547184700000000e-02
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.165535417682972e-02
 	 WORST ABS.ERR.  : 2.846100193720735e-02
 	 BETTER REL.ERR. : 2.066821266643423e-02
 	 WORST REL.ERR.  : 1.252614148432979e-01
 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.288246464475511e-01
 	 Icomp polyg.: 6.288246464475272e-01
 	 Ifull vap   : 6.290282808770978e-01
 	 Icomp vap   : 6.290282808770580e-01
 	 Ifull c.nsl.: 6.290282808771281e-01
 	 Icomp c.nsl.: 6.290282808772155e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.036344295467396e-04
 	 Icomp polyg.: 2.036344295706094e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.237285758643442e-04
 	 Icomp polyg.: 3.237285759022913e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.689375346658731e-01
 	 Icomp polyg.: 6.689375346658504e-01
 	 Ifull vap   : 6.690717944501361e-01
 	 Icomp vap   : 6.690717944501112e-01
 	 Ifull c.nsl.: 6.690717944501405e-01
 	 Icomp c.nsl.: 6.690717944501283e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.342597842629578e-04
 	 Icomp polyg.: 1.342597842857174e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.006657362881313e-04
 	 Icomp polyg.: 2.006657363221480e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.301485925821089e-01
 	 Icomp polyg.: 5.301485925820827e-01
 	 Ifull vap   : 5.302878029278755e-01
 	 Icomp vap   : 5.302878029277999e-01
 	 Ifull c.nsl.: 5.302878029279052e-01
 	 Icomp c.nsl.: 5.302878029279843e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.392103457665828e-04
 	 Icomp polyg.: 1.392103457927840e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.625184758124953e-04
 	 Icomp polyg.: 2.625184758619048e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.857099246160487e-01
 	 Icomp polyg.: 2.857099246160180e-01
 	 Ifull vap   : 2.860541054695805e-01
 	 Icomp vap   : 2.860541054695185e-01
 	 Ifull c.nsl.: 2.860541054696150e-01
 	 Icomp c.nsl.: 2.860541054696595e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.441808535317725e-04
 	 Icomp polyg.: 3.441808535625257e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.203201936104963e-03
 	 Icomp polyg.: 1.203201936212471e-03 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.905402425214049e-01
 	 Icomp polyg.: 4.905402425213841e-01
 	 Ifull vap   : 4.910085214196385e-01
 	 Icomp vap   : 4.910085214196177e-01
 	 Ifull c.nsl.: 4.910085214196793e-01
 	 Icomp c.nsl.: 4.910085214196634e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.682788982335317e-04
 	 Icomp polyg.: 4.682788982544039e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.537082918227381e-04
 	 Icomp polyg.: 9.537082918652470e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.046740555386976e-01
 	 Icomp polyg.: 5.046740555386792e-01
 	 Ifull vap   : 5.048390293917058e-01
 	 Icomp vap   : 5.048390293916890e-01
 	 Ifull c.nsl.: 5.048390293917172e-01
 	 Icomp c.nsl.: 5.048390293917687e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.649738530081768e-04
 	 Icomp polyg.: 1.649738530266065e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.267850609865847e-04
 	 Icomp polyg.: 3.267850610230908e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.762336979708434e-01
 	 Icomp polyg.: 1.762336979708269e-01
 	 Ifull vap   : 1.764183728115441e-01
 	 Icomp vap   : 1.764183728114758e-01
 	 Ifull c.nsl.: 1.764183728115745e-01
 	 Icomp c.nsl.: 1.764183728116189e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.846748407007270e-04
 	 Icomp polyg.: 1.846748407172139e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.046800499050078e-03
 	 Icomp polyg.: 1.046800499143531e-03 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.977243011640243e-01
 	 Icomp polyg.: 7.977243011640052e-01
 	 Ifull vap   : 7.979936028720297e-01
 	 Icomp vap   : 7.979936028719540e-01
 	 Ifull c.nsl.: 7.979936028720704e-01
 	 Icomp c.nsl.: 7.979936028721224e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.693017080054316e-04
 	 Icomp polyg.: 2.693017080245275e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.374735173768281e-04
 	 Icomp polyg.: 3.374735174007580e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.791459829273589e-01
 	 Icomp polyg.: 8.791459829273232e-01
 	 Ifull vap   : 8.795468093588746e-01
 	 Icomp vap   : 8.795468093587966e-01
 	 Ifull c.nsl.: 8.795468093589127e-01
 	 Icomp c.nsl.: 8.795468093589885e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.008264315157328e-04
 	 Icomp polyg.: 4.008264315514820e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.557192718462659e-04
 	 Icomp polyg.: 4.557192718869109e-04 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.977289177170258e-01
 	 Icomp polyg.: 8.977289177170011e-01
 	 Ifull vap   : 8.980915290220839e-01
 	 Icomp vap   : 8.980915290220208e-01
 	 Ifull c.nsl.: 8.980915290221247e-01
 	 Icomp c.nsl.: 8.980915290221657e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.626113050581026e-04
 	 Icomp polyg.: 3.626113050827495e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.037576275248288e-04
 	 Icomp polyg.: 4.037576275522725e-04 
 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   500
 	 lens sides  :    1000
 
 	 ** Cardinalities
 	 polyg. lens full:   23952
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 6.156363500000000e-02
 	 FULL RULE     : 1.624103840000000e-01
 	 COMP RULE     : 2.945598770000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.342597842629578e-04
 	 WORST ABS.ERR.  : 4.682788982335317e-04
 	 BETTER REL.ERR. : 2.006657362881313e-04
 	 WORST REL.ERR.  : 1.203201936104963e-03
 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.116820001685793e-01
 	 Icomp polyg.: 3.116820001685516e-01
 	 Ifull vap   : 3.117026225526065e-01
 	 Icomp vap   : 3.117026225525917e-01
 	 Ifull c.nsl.: 3.117026225526270e-01
 	 Icomp c.nsl.: 3.117026225526323e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.062238402722461e-05
 	 Icomp polyg.: 2.062238405492467e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.616044439518354e-05
 	 Icomp polyg.: 6.616044448405049e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.550272763054935e-01
 	 Icomp polyg.: 7.550272763054684e-01
 	 Ifull vap   : 7.550396791182142e-01
 	 Icomp vap   : 7.550396791181969e-01
 	 Ifull c.nsl.: 7.550396791182195e-01
 	 Icomp c.nsl.: 7.550396791182549e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.240281272074650e-05
 	 Icomp polyg.: 1.240281274583754e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.642670321012975e-05
 	 Icomp polyg.: 1.642670324336117e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.227737669345918e-01
 	 Icomp polyg.: 4.227737669345659e-01
 	 Ifull vap   : 4.227886653441563e-01
 	 Icomp vap   : 4.227886653441446e-01
 	 Ifull c.nsl.: 4.227886653441598e-01
 	 Icomp c.nsl.: 4.227886653441930e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.489840956447885e-05
 	 Icomp polyg.: 1.489840959034705e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.523843183532682e-05
 	 Icomp polyg.: 3.523843189651152e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.036222574074593e-01
 	 Icomp polyg.: 6.036222574074068e-01
 	 Ifull vap   : 6.036391767258342e-01
 	 Icomp vap   : 6.036391767258160e-01
 	 Ifull c.nsl.: 6.036391767258711e-01
 	 Icomp c.nsl.: 6.036391767258834e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.691931837488614e-05
 	 Icomp polyg.: 1.691931842739969e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.802886066251908e-05
 	 Icomp polyg.: 2.802886074951401e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.351064839458739e+00
 	 Icomp polyg.: 1.351064839458679e+00
 	 Ifull vap   : 1.351080263014556e+00
 	 Icomp vap   : 1.351080263014500e+00
 	 Ifull c.nsl.: 1.351080263014590e+00
 	 Icomp c.nsl.: 1.351080263014653e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.542355581674038e-05
 	 Icomp polyg.: 1.542355587624833e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.141572135938619e-05
 	 Icomp polyg.: 1.141572140343091e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.476152586299022e-01
 	 Icomp polyg.: 8.476152586298384e-01
 	 Ifull vap   : 8.476316347052919e-01
 	 Icomp vap   : 8.476316347052241e-01
 	 Ifull c.nsl.: 8.476316347053279e-01
 	 Icomp c.nsl.: 8.476316347054076e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.637607538973462e-05
 	 Icomp polyg.: 1.637607545346143e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.931980204517535e-05
 	 Icomp polyg.: 1.931980212035754e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.368195860059241e-01
 	 Icomp polyg.: 4.368195860058780e-01
 	 Ifull vap   : 4.368379611356785e-01
 	 Icomp vap   : 4.368379611356081e-01
 	 Ifull c.nsl.: 4.368379611356926e-01
 	 Icomp c.nsl.: 4.368379611357495e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.837512975438882e-05
 	 Icomp polyg.: 1.837512980046307e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.206394908221277e-05
 	 Icomp polyg.: 4.206394918768495e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.155725031664473e-01
 	 Icomp polyg.: 6.155725031664083e-01
 	 Ifull vap   : 6.155924254383931e-01
 	 Icomp vap   : 6.155924254383945e-01
 	 Ifull c.nsl.: 6.155924254384318e-01
 	 Icomp c.nsl.: 6.155924254384268e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.992227194580476e-05
 	 Icomp polyg.: 1.992227198477359e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.236276328711671e-05
 	 Icomp polyg.: 3.236276335041968e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.497735214789321e+00
 	 Icomp polyg.: 1.497735214789301e+00
 	 Ifull vap   : 1.497753022584583e+00
 	 Icomp vap   : 1.497753022584561e+00
 	 Ifull c.nsl.: 1.497753022584606e+00
 	 Icomp c.nsl.: 1.497753022584626e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.780779526261433e-05
 	 Icomp polyg.: 1.780779528259835e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.188967406113758e-05
 	 Icomp polyg.: 1.188967407448025e-05 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.515746493322867e-01
 	 Icomp polyg.: 8.515746493322436e-01
 	 Ifull vap   : 8.515884519263693e-01
 	 Icomp vap   : 8.515884519264124e-01
 	 Ifull c.nsl.: 8.515884519263826e-01
 	 Icomp c.nsl.: 8.515884519264180e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.380259408267914e-05
 	 Icomp polyg.: 1.380259412575580e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.620805689820762e-05
 	 Icomp polyg.: 1.620805694879151e-05 
 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    3984
 
 	 ** Cardinalities
 	 polyg. lens full:   95568
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.133499520000000e-01
 	 FULL RULE     : 1.905656665000000e+00
 	 COMP RULE     : 9.983889950000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.240281272074650e-05
 	 WORST ABS.ERR.  : 2.062238402722461e-05
 	 BETTER REL.ERR. : 1.141572135938619e-05
 	 WORST REL.ERR.  : 6.616044439518354e-05
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.910436088275325e-01
 	 Icomp polyg.: 9.910436088275349e-01
 	 Ifull vap   : 9.910545167295961e-01
 	 Icomp vap   : 9.910545167295959e-01
 	 Ifull c.nsl.: 9.910545167295943e-01
 	 Icomp c.nsl.: 9.910545167295951e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.090790206359493e-05
 	 Icomp polyg.: 1.090790206115244e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.100635926627949e-05
 	 Icomp polyg.: 1.100635926381495e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.918163421618802e+00
 	 Icomp polyg. RMS: 2.918163421618805e+00
 	 Ivap. circ.  RMS: 2.918185945801727e+00
 	 Icomp. vap   RMS: 2.918185945801704e+00
 	 Inls  circ.  RMS: 2.918185945801726e+00
 	 Icomp  nls   RMS: 2.918185945801740e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.856517750575810e-01
 	 Icomp polyg.: 5.856517750575840e-01
 	 Ifull vap   : 5.856569034392013e-01
 	 Icomp vap   : 5.856569034392010e-01
 	 Ifull c.nsl.: 5.856569034392005e-01
 	 Icomp c.nsl.: 5.856569034392010e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.128381620256306e-06
 	 Icomp polyg.: 5.128381617258704e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.756631382880468e-06
 	 Icomp polyg.: 8.756631377762109e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.417281230042111e+00
 	 Icomp polyg. RMS: 2.417281230042114e+00
 	 Ivap. circ.  RMS: 2.417296716111825e+00
 	 Icomp. vap   RMS: 2.417296716111822e+00
 	 Inls  circ.  RMS: 2.417296716111824e+00
 	 Icomp  nls   RMS: 2.417296716111829e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.942935084990367e-01
 	 Icomp polyg.: 9.942935084990389e-01
 	 Ifull vap   : 9.942967361983640e-01
 	 Icomp vap   : 9.942967361983652e-01
 	 Ifull c.nsl.: 9.942967361983623e-01
 	 Icomp c.nsl.: 9.942967361983627e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.227699327257305e-06
 	 Icomp polyg.: 3.227699325147881e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.246213338281916e-06
 	 Icomp polyg.: 3.246213336160393e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.299779713633081e+00
 	 Icomp polyg. RMS: 2.299779713633085e+00
 	 Ivap. circ.  RMS: 2.299794530623040e+00
 	 Icomp. vap   RMS: 2.299794530623032e+00
 	 Inls  circ.  RMS: 2.299794530623039e+00
 	 Icomp  nls   RMS: 2.299794530623035e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.984174074803711e-01
 	 Icomp polyg.: 6.984174074803735e-01
 	 Ifull vap   : 6.984214839836392e-01
 	 Icomp vap   : 6.984214839836406e-01
 	 Ifull c.nsl.: 6.984214839836382e-01
 	 Icomp c.nsl.: 6.984214839836387e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.076503268168885e-06
 	 Icomp polyg.: 4.076503265726394e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.836738075291479e-06
 	 Icomp polyg.: 5.836738071794320e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.395711282087762e+00
 	 Icomp polyg. RMS: 2.395711282087766e+00
 	 Ivap. circ.  RMS: 2.395729907989522e+00
 	 Icomp. vap   RMS: 2.395729907989516e+00
 	 Inls  circ.  RMS: 2.395729907989521e+00
 	 Icomp  nls   RMS: 2.395729907989521e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.979098563289329e-01
 	 Icomp polyg.: 9.979098563289356e-01
 	 Ifull vap   : 9.979171601408956e-01
 	 Icomp vap   : 9.979171601408957e-01
 	 Ifull c.nsl.: 9.979171601408940e-01
 	 Icomp c.nsl.: 9.979171601408948e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 7.303811962677820e-06
 	 Icomp polyg.: 7.303811960013284e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.319056385047629e-06
 	 Icomp polyg.: 7.319056382377533e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.988233224080484e+00
 	 Icomp polyg. RMS: 1.988233224080486e+00
 	 Ivap. circ.  RMS: 1.988245822237676e+00
 	 Icomp. vap   RMS: 1.988245822237662e+00
 	 Inls  circ.  RMS: 1.988245822237675e+00
 	 Icomp  nls   RMS: 1.988245822237684e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.887148119920122e-01
 	 Icomp polyg.: 6.887148119920136e-01
 	 Ifull vap   : 6.887255168748616e-01
 	 Icomp vap   : 6.887255168748646e-01
 	 Ifull c.nsl.: 6.887255168748589e-01
 	 Icomp c.nsl.: 6.887255168748596e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.070488284937721e-05
 	 Icomp polyg.: 1.070488284804494e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.554303214719172e-05
 	 Icomp polyg.: 1.554303214525732e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.476214098458278e+00
 	 Icomp polyg. RMS: 2.476214098458283e+00
 	 Ivap. circ.  RMS: 2.476229894392830e+00
 	 Icomp. vap   RMS: 2.476229894392841e+00
 	 Inls  circ.  RMS: 2.476229894392828e+00
 	 Icomp  nls   RMS: 2.476229894392818e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.360444342072965e-01
 	 Icomp polyg.: 2.360444342072974e-01
 	 Ifull vap   : 2.360500506900082e-01
 	 Icomp vap   : 2.360500506900092e-01
 	 Ifull c.nsl.: 2.360500506900073e-01
 	 Icomp c.nsl.: 2.360500506900076e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.616482711690018e-06
 	 Icomp polyg.: 5.616482710801840e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.379360942847601e-05
 	 Icomp polyg.: 2.379360942471334e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.180932524173953e+00
 	 Icomp polyg. RMS: 2.180932524173955e+00
 	 Ivap. circ.  RMS: 2.180944734462567e+00
 	 Icomp. vap   RMS: 2.180944734462565e+00
 	 Inls  circ.  RMS: 2.180944734462566e+00
 	 Icomp  nls   RMS: 2.180944734462568e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.375181627735003e-01
 	 Icomp polyg.: 1.375181627735015e-01
 	 Ifull vap   : 1.375197717491143e-01
 	 Icomp vap   : 1.375197717491159e-01
 	 Ifull c.nsl.: 1.375197717491140e-01
 	 Icomp c.nsl.: 1.375197717491142e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.608975614075803e-06
 	 Icomp polyg.: 1.608975612882313e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.169995843951192e-05
 	 Icomp polyg.: 1.169995843083324e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.425104866650134e+00
 	 Icomp polyg. RMS: 2.425104866650139e+00
 	 Ivap. circ.  RMS: 2.425120368760965e+00
 	 Icomp. vap   RMS: 2.425120368760958e+00
 	 Inls  circ.  RMS: 2.425120368760963e+00
 	 Icomp  nls   RMS: 2.425120368760959e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.278669905420198e-01
 	 Icomp polyg.: 9.278669905420218e-01
 	 Ifull vap   : 9.278758449882494e-01
 	 Icomp vap   : 9.278758449882505e-01
 	 Ifull c.nsl.: 9.278758449882480e-01
 	 Icomp c.nsl.: 9.278758449882485e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.854446229555890e-06
 	 Icomp polyg.: 8.854446227557489e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.542705823609431e-06
 	 Icomp polyg.: 9.542705821455694e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.980384641039312e+00
 	 Icomp polyg. RMS: 1.980384641039316e+00
 	 Ivap. circ.  RMS: 1.980396447033574e+00
 	 Icomp. vap   RMS: 1.980396447033576e+00
 	 Inls  circ.  RMS: 1.980396447033574e+00
 	 Icomp  nls   RMS: 1.980396447033570e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.199633565932855e-01
 	 Icomp polyg.: 2.199633565932866e-01
 	 Ifull vap   : 2.199680413371753e-01
 	 Icomp vap   : 2.199680413371759e-01
 	 Ifull c.nsl.: 2.199680413371743e-01
 	 Icomp c.nsl.: 2.199680413371752e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.684743889815657e-06
 	 Icomp polyg.: 4.684743888649923e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.129738420789366e-05
 	 Icomp polyg.: 2.129738420259410e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.700487328853091e+00
 	 Icomp polyg. RMS: 2.700487328853095e+00
 	 Ivap. circ.  RMS: 2.700508526612974e+00
 	 Icomp. vap   RMS: 2.700508526612963e+00
 	 Inls  circ.  RMS: 2.700508526612972e+00
 	 Icomp  nls   RMS: 2.700508526612975e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    3984
 
 	 ** Cardinalities
 	 polyg. lens full:   95568
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.914291240000000e-01
 	 FULL RULE     : 2.446259623000000e+00
 	 COMP RULE     : 1.441400409000000e+00
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.608975614075803e-06
 	 WORST ABS.ERR.  : 1.090790206359493e-05
 	 BETTER REL.ERR. : 3.246213338281916e-06
 	 WORST REL.ERR.  : 2.379360942847601e-05
 
demo_opticsIV
number of grid or Halton points
{Undefined function or variable 'X'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_opticsIV', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_opticsIV.m', 70)" style="font-weight:bold">demo_opticsIV</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_opticsIV.m',70,0)">line 70</a>)
N=length(X(:,1))
} 
opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_opticsIV.m',70,0)
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.542751200774282e-01
 	 Icomp polyg.: 6.542751200774303e-01
 	 Ifull vap   : 6.542833906498333e-01
 	 Icomp vap   : 6.542833906498352e-01
 	 Ifull c.nsl.: 6.542833906498323e-01
 	 Icomp c.nsl.: 6.542833906498324e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.270572405155718e-06
 	 Icomp polyg.: 8.270572403046295e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.264065773844786e-05
 	 Icomp polyg.: 1.264065773522384e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.062193447228640e+00
 	 Icomp polyg. RMS: 2.062193447228642e+00
 	 Ivap. circ.  RMS: 2.062204853809986e+00
 	 Icomp. vap   RMS: 2.062204853809990e+00
 	 Inls  circ.  RMS: 2.062204853809985e+00
 	 Icomp  nls   RMS: 2.062204853809983e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.814854210645434e-01
 	 Icomp polyg.: 2.814854210645447e-01
 	 Ifull vap   : 2.814871055389213e-01
 	 Icomp vap   : 2.814871055389236e-01
 	 Ifull c.nsl.: 2.814871055389202e-01
 	 Icomp c.nsl.: 2.814871055389208e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.684474377872114e-06
 	 Icomp polyg.: 1.684474376595357e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.984197303272924e-06
 	 Icomp polyg.: 5.984197298737169e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.223040248558570e+00
 	 Icomp polyg. RMS: 2.223040248558575e+00
 	 Ivap. circ.  RMS: 2.223055769891710e+00
 	 Icomp. vap   RMS: 2.223055769891697e+00
 	 Inls  circ.  RMS: 2.223055769891709e+00
 	 Icomp  nls   RMS: 2.223055769891702e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.066992832137037e+00
 	 Icomp polyg.: 1.066992832137041e+00
 	 Ifull vap   : 1.066999125881513e+00
 	 Icomp vap   : 1.066999125881513e+00
 	 Ifull c.nsl.: 1.066999125881513e+00
 	 Icomp c.nsl.: 1.066999125881514e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.293744475582841e-06
 	 Icomp polyg.: 6.293744471363993e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.898546983703662e-06
 	 Icomp polyg.: 5.898546979749725e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.284456992546581e+00
 	 Icomp polyg. RMS: 2.284456992546582e+00
 	 Ivap. circ.  RMS: 2.284472217939890e+00
 	 Icomp. vap   RMS: 2.284472217939885e+00
 	 Inls  circ.  RMS: 2.284472217939888e+00
 	 Icomp  nls   RMS: 2.284472217939894e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.558669436239290e-01
 	 Icomp polyg.: 8.558669436239317e-01
 	 Ifull vap   : 8.558751772366229e-01
 	 Icomp vap   : 8.558751772366251e-01
 	 Ifull c.nsl.: 8.558751772366218e-01
 	 Icomp c.nsl.: 8.558751772366222e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.233612693864245e-06
 	 Icomp polyg.: 8.233612691199710e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.620109231872146e-06
 	 Icomp polyg.: 9.620109228758917e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.634029259687880e+00
 	 Icomp polyg. RMS: 2.634029259687885e+00
 	 Ivap. circ.  RMS: 2.634045685576638e+00
 	 Icomp. vap   RMS: 2.634045685576634e+00
 	 Inls  circ.  RMS: 2.634045685576637e+00
 	 Icomp  nls   RMS: 2.634045685576632e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.399314324986486e-01
 	 Icomp polyg.: 5.399314324986497e-01
 	 Ifull vap   : 5.399390438951412e-01
 	 Icomp vap   : 5.399390438951439e-01
 	 Ifull c.nsl.: 5.399390438951392e-01
 	 Icomp c.nsl.: 5.399390438951401e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 7.611396492634981e-06
 	 Icomp polyg.: 7.611396491524758e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.409676995707899e-05
 	 Icomp polyg.: 1.409676995502279e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.282435936807702e+00
 	 Icomp polyg. RMS: 2.282435936807705e+00
 	 Ivap. circ.  RMS: 2.282451570694041e+00
 	 Icomp. vap   RMS: 2.282451570694023e+00
 	 Inls  circ.  RMS: 2.282451570694040e+00
 	 Icomp  nls   RMS: 2.282451570694044e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.800405375244148e-01
 	 Icomp polyg.: 1.800405375244145e-01
 	 Ifull vap   : 1.800430932781759e-01
 	 Icomp vap   : 1.800430932781783e-01
 	 Ifull c.nsl.: 1.800430932781729e-01
 	 Icomp c.nsl.: 1.800430932781733e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.555753761124269e-06
 	 Icomp polyg.: 2.555753761457336e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.419523356653008e-05
 	 Icomp polyg.: 1.419523356838001e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.943479608084038e+00
 	 Icomp polyg. RMS: 1.943479608084043e+00
 	 Ivap. circ.  RMS: 1.943495361177711e+00
 	 Icomp. vap   RMS: 1.943495361177698e+00
 	 Inls  circ.  RMS: 1.943495361177709e+00
 	 Icomp  nls   RMS: 1.943495361177702e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.613366929298675e-01
 	 Icomp polyg.: 8.613366929298694e-01
 	 Ifull vap   : 8.613450955453437e-01
 	 Icomp vap   : 8.613450955453459e-01
 	 Ifull c.nsl.: 8.613450955453426e-01
 	 Icomp c.nsl.: 8.613450955453434e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.402615476188480e-06
 	 Icomp polyg.: 8.402615474301101e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.755225309396497e-06
 	 Icomp polyg.: 9.755225307205297e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.372610728919981e+00
 	 Icomp polyg. RMS: 2.372610728919986e+00
 	 Ivap. circ.  RMS: 2.372628098647623e+00
 	 Icomp. vap   RMS: 2.372628098647605e+00
 	 Inls  circ.  RMS: 2.372628098647622e+00
 	 Icomp  nls   RMS: 2.372628098647621e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.167332425449381e-01
 	 Icomp polyg.: 2.167332425449409e-01
 	 Ifull vap   : 2.167421919545251e-01
 	 Icomp vap   : 2.167421919545263e-01
 	 Ifull c.nsl.: 2.167421919545237e-01
 	 Icomp c.nsl.: 2.167421919545242e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.949409586983537e-06
 	 Icomp polyg.: 8.949409584235735e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.129057432833023e-05
 	 Icomp polyg.: 4.129057431565248e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.289527728188436e+00
 	 Icomp polyg. RMS: 2.289527728188439e+00
 	 Ivap. circ.  RMS: 2.289542493965408e+00
 	 Icomp. vap   RMS: 2.289542493965402e+00
 	 Inls  circ.  RMS: 2.289542493965406e+00
 	 Icomp  nls   RMS: 2.289542493965410e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.194926690373504e-01
 	 Icomp polyg.: 4.194926690373524e-01
 	 Ifull vap   : 4.195017576658593e-01
 	 Icomp vap   : 4.195017576658614e-01
 	 Ifull c.nsl.: 4.195017576658568e-01
 	 Icomp c.nsl.: 4.195017576658573e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 9.088628508846508e-06
 	 Icomp polyg.: 9.088628506903618e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.166529303575830e-05
 	 Icomp polyg.: 2.166529303112688e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.296246465831688e+00
 	 Icomp polyg. RMS: 2.296246465831693e+00
 	 Ivap. circ.  RMS: 2.296260952410839e+00
 	 Icomp. vap   RMS: 2.296260952410834e+00
 	 Inls  circ.  RMS: 2.296260952410837e+00
 	 Icomp  nls   RMS: 2.296260952410836e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.541124517374584e-01
 	 Icomp polyg.: 3.541124517374605e-01
 	 Ifull vap   : 3.541193766672132e-01
 	 Icomp vap   : 3.541193766672143e-01
 	 Ifull c.nsl.: 3.541193766672122e-01
 	 Icomp c.nsl.: 3.541193766672125e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.924929754736908e-06
 	 Icomp polyg.: 6.924929752627484e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.955535395975994e-05
 	 Icomp polyg.: 1.955535395380312e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.356831154526703e+00
 	 Icomp polyg. RMS: 2.356831154526705e+00
 	 Ivap. circ.  RMS: 2.356847173914592e+00
 	 Icomp. vap   RMS: 2.356847173914593e+00
 	 Inls  circ.  RMS: 2.356847173914592e+00
 	 Icomp  nls   RMS: 2.356847173914593e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    3984
 
 	 ** Cardinalities
 	 polyg. lens full:   95568
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.398877660000000e-01
 	 FULL RULE     : 1.923723944000000e+00
 	 COMP RULE     : 1.040060041000000e+00
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.684474377872114e-06
 	 WORST ABS.ERR.  : 9.088628508846508e-06
 	 BETTER REL.ERR. : 5.898546983703662e-06
 	 WORST REL.ERR.  : 4.129057432833023e-05
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 2.274485157038022e+00
 	 Icomp polyg. RMS: 2.274485157038026e+00
 	 Ivap. circ.  RMS: 2.274500417802844e+00
 	 Icomp. vap   RMS: 2.274500417802836e+00
 	 Inls  circ.  RMS: 2.274500417802842e+00
 	 Icomp  nls   RMS: 2.274500417802842e+00
 
syms x
diff((x-2)*log(x-1))
 
ans =
 
log(x - 1) + (x - 2)/(x - 1)
 
diff((x-2)*log(x-1),2)
 
ans =
 
2/(x - 1) - (x - 2)/(x - 1)^2
 

 	 .................... EXAMPLE:   1 .......... 
{Output argument "P" (and maybe others) not assigned during call to
"demo_optics_III>define_domain".

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_III')" style="font-weight:bold">demo_optics_III</a>
} 
matlab.internal.language.introspective.errorDocCallback('demo_optics_III')
demo_optics_III(1)

 	 .................... EXAMPLE:   1 .......... 

 	 WARNING 2: D5 intersects D4 outside D1 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.437008474068740e-01
 	 Icomp polyg.: 1.437008474068753e-01
 	 Ifull vap   : 1.437037960055249e-01
 	 Icomp vap   : 1.437037960055242e-01
 	 Ifull c.nsl.: 1.437037960055244e-01
 	 Icomp c.nsl.: 1.437037960055242e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.948598650853729e-06
 	 Icomp polyg.: 2.948598649521461e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.051858567981299e-05
 	 Icomp polyg.: 2.051858567054206e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.233981533023485e+00
 	 Icomp polyg. RMS: 2.233981533023487e+00
 	 Ivap. circ.  RMS: 2.233997601785724e+00
 	 Icomp. vap   RMS: 2.233997601785721e+00
 	 Inls  circ.  RMS: 2.233997601785726e+00
 	 Icomp  nls   RMS: 2.233997601785730e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.473630413687481e-01
 	 Icomp polyg.: 7.473630413687476e-01
 	 Ifull vap   : 7.473721753354569e-01
 	 Icomp vap   : 7.473721753354569e-01
 	 Ifull c.nsl.: 7.473721753354567e-01
 	 Icomp c.nsl.: 7.473721753354571e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 9.133966708763097e-06
 	 Icomp polyg.: 9.133966709207186e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.222144335874336e-05
 	 Icomp polyg.: 1.222144335933756e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.231901642530589e+00
 	 Icomp polyg. RMS: 2.231901642530591e+00
 	 Ivap. circ.  RMS: 2.231915145672714e+00
 	 Icomp. vap   RMS: 2.231915145672712e+00
 	 Inls  circ.  RMS: 2.231915145672711e+00
 	 Icomp  nls   RMS: 2.231915145672713e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.166751182572020e-01
 	 Icomp polyg.: 5.166751182572020e-01
 	 Ifull vap   : 5.166824620706860e-01
 	 Icomp vap   : 5.166824620706851e-01
 	 Ifull c.nsl.: 5.166824620706862e-01
 	 Icomp c.nsl.: 5.166824620706867e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 7.343813483995376e-06
 	 Icomp polyg.: 7.343813483995376e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.421339802122157e-05
 	 Icomp polyg.: 1.421339802122157e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.169754145627428e+00
 	 Icomp polyg. RMS: 2.169754145627429e+00
 	 Ivap. circ.  RMS: 2.169771451951961e+00
 	 Icomp. vap   RMS: 2.169771451951961e+00
 	 Inls  circ.  RMS: 2.169771451951962e+00
 	 Icomp  nls   RMS: 2.169771451951962e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.528668495963433e-01
 	 Icomp polyg.: 1.528668495963444e-01
 	 Ifull vap   : 1.528714181081498e-01
 	 Icomp vap   : 1.528714181081494e-01
 	 Ifull c.nsl.: 1.528714181081493e-01
 	 Icomp c.nsl.: 1.528714181081494e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.568511806496423e-06
 	 Icomp polyg.: 4.568511805330688e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.988466950221134e-05
 	 Icomp polyg.: 2.988466949458576e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.463171865510588e+00
 	 Icomp polyg. RMS: 2.463171865510589e+00
 	 Ivap. circ.  RMS: 2.463187174517594e+00
 	 Icomp. vap   RMS: 2.463187174517594e+00
 	 Inls  circ.  RMS: 2.463187174517604e+00
 	 Icomp  nls   RMS: 2.463187174517606e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.477282045513656e-01
 	 Icomp polyg.: 1.477282045513658e-01
 	 Ifull vap   : 1.477334492388873e-01
 	 Icomp vap   : 1.477334492388861e-01
 	 Ifull c.nsl.: 1.477334492388865e-01
 	 Icomp c.nsl.: 1.477334492388871e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.244687521666069e-06
 	 Icomp polyg.: 5.244687521499536e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.550101584093748e-05
 	 Icomp polyg.: 3.550101583981022e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.013759317833459e+00
 	 Icomp polyg. RMS: 2.013759317833459e+00
 	 Ivap. circ.  RMS: 2.013774253162572e+00
 	 Icomp. vap   RMS: 2.013774253162572e+00
 	 Inls  circ.  RMS: 2.013774253162575e+00
 	 Icomp  nls   RMS: 2.013774253162576e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.057940872089441e-01
 	 Icomp polyg.: 6.057940872089448e-01
 	 Ifull vap   : 6.058002598187231e-01
 	 Icomp vap   : 6.058002598187229e-01
 	 Ifull c.nsl.: 6.058002598187227e-01
 	 Icomp c.nsl.: 6.058002598187233e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.172609778976046e-06
 	 Icomp polyg.: 6.172609778309912e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.018918311593843e-05
 	 Icomp polyg.: 1.018918311483883e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.174652182219762e+00
 	 Icomp polyg. RMS: 2.174652182219764e+00
 	 Ivap. circ.  RMS: 2.174668619391037e+00
 	 Icomp. vap   RMS: 2.174668619391036e+00
 	 Inls  circ.  RMS: 2.174668619391039e+00
 	 Icomp  nls   RMS: 2.174668619391042e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.616999004328450e-01
 	 Icomp polyg.: 1.616999004328462e-01
 	 Ifull vap   : 1.617037588290266e-01
 	 Icomp vap   : 1.617037588290266e-01
 	 Ifull c.nsl.: 1.617037588290260e-01
 	 Icomp c.nsl.: 1.617037588290264e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.858396181610768e-06
 	 Icomp polyg.: 3.858396180445034e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.386089358436217e-05
 	 Icomp polyg.: 2.386089357715310e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.460261206064136e+00
 	 Icomp polyg. RMS: 2.460261206064138e+00
 	 Ivap. circ.  RMS: 2.460278303681675e+00
 	 Icomp. vap   RMS: 2.460278303681674e+00
 	 Inls  circ.  RMS: 2.460278303681681e+00
 	 Icomp  nls   RMS: 2.460278303681686e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.697617113839352e-01
 	 Icomp polyg.: 7.697617113839375e-01
 	 Ifull vap   : 7.697641148268902e-01
 	 Icomp vap   : 7.697641148268896e-01
 	 Ifull c.nsl.: 7.697641148268894e-01
 	 Icomp c.nsl.: 7.697641148268901e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.403442954990176e-06
 	 Icomp polyg.: 2.403442952769730e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.122310989426518e-06
 	 Icomp polyg.: 3.122310986541939e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.424969250364486e+00
 	 Icomp polyg. RMS: 2.424969250364487e+00
 	 Ivap. circ.  RMS: 2.424989461246850e+00
 	 Icomp. vap   RMS: 2.424989461246848e+00
 	 Inls  circ.  RMS: 2.424989461246869e+00
 	 Icomp  nls   RMS: 2.424989461246874e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.142646085194788e-01
 	 Icomp polyg.: 1.142646085194796e-01
 	 Ifull vap   : 1.142698967559013e-01
 	 Icomp vap   : 1.142698967559006e-01
 	 Ifull c.nsl.: 1.142698967559009e-01
 	 Icomp c.nsl.: 1.142698967559013e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.288236422540393e-06
 	 Icomp polyg.: 5.288236421735482e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.627847379469422e-05
 	 Icomp polyg.: 4.627847378765027e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.143728467128967e+00
 	 Icomp polyg. RMS: 2.143728467128968e+00
 	 Ivap. circ.  RMS: 2.143742883167821e+00
 	 Icomp. vap   RMS: 2.143742883167822e+00
 	 Inls  circ.  RMS: 2.143742883167831e+00
 	 Icomp  nls   RMS: 2.143742883167831e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.706259403222639e-01
 	 Icomp polyg.: 4.706259403222643e-01
 	 Ifull vap   : 4.706314974285515e-01
 	 Icomp vap   : 4.706314974285508e-01
 	 Ifull c.nsl.: 4.706314974285515e-01
 	 Icomp c.nsl.: 4.706314974285520e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.557106287579217e-06
 	 Icomp polyg.: 5.557106287190638e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.180776534920055e-05
 	 Icomp polyg.: 1.180776534837490e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.120507740030544e+00
 	 Icomp polyg. RMS: 2.120507740030546e+00
 	 Ivap. circ.  RMS: 2.120525234965710e+00
 	 Icomp. vap   RMS: 2.120525234965709e+00
 	 Inls  circ.  RMS: 2.120525234965699e+00
 	 Icomp  nls   RMS: 2.120525234965700e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    4333
 
 	 ** Cardinalities
 	 polyg. lens full:  103944
 	 polyg. lens comp:      66
 	 vap lens full   :     222
 	 vap lens comp   :      66
 	 nsl lens full:    1128
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 6.414401420000000e-01
 	 FULL RULE     : 2.527171077000000e+00
 	 COMP RULE     : 9.879292610000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 2.403442954990176e-06
 	 WORST ABS.ERR.  : 9.133966708763097e-06
 	 BETTER REL.ERR. : 3.122310989426518e-06
 	 WORST REL.ERR.  : 4.627847379469422e-05
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 2.243668735033344e+00
 	 Icomp polyg. RMS: 2.243668735033346e+00
 	 Ivap. circ.  RMS: 2.243685012954366e+00
 	 Icomp. vap   RMS: 2.243685012954365e+00
 	 Inls  circ.  RMS: 2.243685012954370e+00
 	 Icomp  nls   RMS: 2.243685012954372e+00
 
demo_optics_III(1)

 	 .................... EXAMPLE:   1 .......... 

 	 WARNING 2: D5 intersects D4 outside D1 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.880717387307506e-01
 	 Icomp polyg.: 5.880717387307501e-01
 	 Ifull vap   : 5.880803533268628e-01
 	 Icomp vap   : 5.880803533268631e-01
 	 Ifull c.nsl.: 5.880803533268629e-01
 	 Icomp c.nsl.: 5.880803533268639e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.614596112233031e-06
 	 Icomp polyg.: 8.614596112677120e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.464867184135452e-05
 	 Icomp polyg.: 1.464867184210967e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.280684523486820e+00
 	 Icomp polyg. RMS: 2.280684523486822e+00
 	 Ivap. circ.  RMS: 2.280695912030691e+00
 	 Icomp. vap   RMS: 2.280695912030691e+00
 	 Inls  circ.  RMS: 2.280695912030692e+00
 	 Icomp  nls   RMS: 2.280695912030692e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.120186140973561e-01
 	 Icomp polyg.: 5.120186140973538e-01
 	 Ifull vap   : 5.120249897921885e-01
 	 Icomp vap   : 5.120249897921884e-01
 	 Ifull c.nsl.: 5.120249897921889e-01
 	 Icomp c.nsl.: 5.120249897921894e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.375694832416734e-06
 	 Icomp polyg.: 6.375694834637180e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.245192121385401e-05
 	 Icomp polyg.: 1.245192121819061e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.622303572888252e+00
 	 Icomp polyg. RMS: 1.622303572888254e+00
 	 Ivap. circ.  RMS: 1.622309738252682e+00
 	 Icomp. vap   RMS: 1.622309738252682e+00
 	 Inls  circ.  RMS: 1.622309738252682e+00
 	 Icomp  nls   RMS: 1.622309738252682e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.270059697956089e-01
 	 Icomp polyg.: 9.270059697956075e-01
 	 Ifull vap   : 9.270179172093567e-01
 	 Icomp vap   : 9.270179172093569e-01
 	 Ifull c.nsl.: 9.270179172093568e-01
 	 Icomp c.nsl.: 9.270179172093580e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.194741374777042e-05
 	 Icomp polyg.: 1.194741374921371e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.288800736854823e-05
 	 Icomp polyg.: 1.288800737010514e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.535193598342935e+00
 	 Icomp polyg. RMS: 2.535193598342940e+00
 	 Ivap. circ.  RMS: 2.535205801500088e+00
 	 Icomp. vap   RMS: 2.535205801500088e+00
 	 Inls  circ.  RMS: 2.535205801500088e+00
 	 Icomp  nls   RMS: 2.535205801500089e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.405962722030581e-01
 	 Icomp polyg.: 1.405962722030544e-01
 	 Ifull vap   : 1.406052448830365e-01
 	 Icomp vap   : 1.406052448830369e-01
 	 Ifull c.nsl.: 1.406052448830368e-01
 	 Icomp c.nsl.: 1.406052448830372e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.972679978319631e-06
 	 Icomp polyg.: 8.972679982094389e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.381468903086526e-05
 	 Icomp polyg.: 6.381468905771175e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.307382070074178e+00
 	 Icomp polyg. RMS: 2.307382070074181e+00
 	 Ivap. circ.  RMS: 2.307396108295913e+00
 	 Icomp. vap   RMS: 2.307396108295914e+00
 	 Inls  circ.  RMS: 2.307396108295914e+00
 	 Icomp  nls   RMS: 2.307396108295915e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.858905018237931e-01
 	 Icomp polyg.: 4.858905018237895e-01
 	 Ifull vap   : 4.858941085933965e-01
 	 Icomp vap   : 4.858941085933968e-01
 	 Ifull c.nsl.: 4.858941085933963e-01
 	 Icomp c.nsl.: 4.858941085933974e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.606769603425874e-06
 	 Icomp polyg.: 3.606769607034099e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.422953972146374e-06
 	 Icomp polyg.: 7.422953979572323e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.949181377789011e+00
 	 Icomp polyg. RMS: 1.949181377789015e+00
 	 Ivap. circ.  RMS: 1.949192047171761e+00
 	 Icomp. vap   RMS: 1.949192047171761e+00
 	 Inls  circ.  RMS: 1.949192047171762e+00
 	 Icomp  nls   RMS: 1.949192047171762e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: -3.035221024031688e-01
 	 Icomp polyg.: -3.035221024031707e-01
 	 Ifull vap   : -3.035183703366870e-01
 	 Icomp vap   : -3.035183703366867e-01
 	 Ifull c.nsl.: -3.035183703366867e-01
 	 Icomp c.nsl.: -3.035183703366864e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.732066481743068e-06
 	 Icomp polyg.: 3.732066483685959e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.229601515586407e-05
 	 Icomp polyg.: 1.229601516226530e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.319779166745136e+00
 	 Icomp polyg. RMS: 1.319779166745137e+00
 	 Ivap. circ.  RMS: 1.319787995968037e+00
 	 Icomp. vap   RMS: 1.319787995968038e+00
 	 Inls  circ.  RMS: 1.319787995968038e+00
 	 Icomp  nls   RMS: 1.319787995968038e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.552062223229992e-01
 	 Icomp polyg.: 2.552062223229953e-01
 	 Ifull vap   : 2.552081990401588e-01
 	 Icomp vap   : 2.552081990401586e-01
 	 Ifull c.nsl.: 2.552081990401591e-01
 	 Icomp c.nsl.: 2.552081990401599e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.976717159624108e-06
 	 Icomp polyg.: 1.976717163454378e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.745508048168383e-06
 	 Icomp polyg.: 7.745508063176793e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.817230995398212e+00
 	 Icomp polyg. RMS: 1.817230995398215e+00
 	 Ivap. circ.  RMS: 1.817238439904705e+00
 	 Icomp. vap   RMS: 1.817238439904706e+00
 	 Inls  circ.  RMS: 1.817238439904706e+00
 	 Icomp  nls   RMS: 1.817238439904706e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.631366526230765e-01
 	 Icomp polyg.: 6.631366526230765e-01
 	 Ifull vap   : 6.631447878224763e-01
 	 Icomp vap   : 6.631447878224761e-01
 	 Ifull c.nsl.: 6.631447878224768e-01
 	 Icomp c.nsl.: 6.631447878224777e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.135199399794679e-06
 	 Icomp polyg.: 8.135199399794679e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.226760663611288e-05
 	 Icomp polyg.: 1.226760663611288e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.301181690880155e+00
 	 Icomp polyg. RMS: 2.301181690880158e+00
 	 Ivap. circ.  RMS: 2.301194573675371e+00
 	 Icomp. vap   RMS: 2.301194573675371e+00
 	 Inls  circ.  RMS: 2.301194573675371e+00
 	 Icomp  nls   RMS: 2.301194573675372e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.126827955367040e-02
 	 Icomp polyg.: 3.126827955366786e-02
 	 Ifull vap   : 3.127531869995827e-02
 	 Icomp vap   : 3.127531869995837e-02
 	 Ifull c.nsl.: 3.127531869995868e-02
 	 Icomp c.nsl.: 3.127531869995936e-02
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 7.039146287871056e-06
 	 Icomp polyg.: 7.039146290410692e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.250703295912521e-04
 	 Icomp polyg.: 2.250703296724546e-04 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.824933564948088e+00
 	 Icomp polyg. RMS: 1.824933564948090e+00
 	 Ivap. circ.  RMS: 1.824942512432416e+00
 	 Icomp. vap   RMS: 1.824942512432416e+00
 	 Inls  circ.  RMS: 1.824942512432417e+00
 	 Icomp  nls   RMS: 1.824942512432417e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: -8.480028955515528e-02
 	 Icomp polyg.: -8.480028955515942e-02
 	 Ifull vap   : -8.479640049920728e-02
 	 Icomp vap   : -8.479640049920736e-02
 	 Ifull c.nsl.: -8.479640049920667e-02
 	 Icomp c.nsl.: -8.479640049920611e-02
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.889055948003151e-06
 	 Icomp polyg.: 3.889055952138731e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.586345558429107e-05
 	 Icomp polyg.: 4.586345563306179e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.123572415822404e+00
 	 Icomp polyg. RMS: 2.123572415822407e+00
 	 Ivap. circ.  RMS: 2.123586077284638e+00
 	 Icomp. vap   RMS: 2.123586077284638e+00
 	 Inls  circ.  RMS: 2.123586077284639e+00
 	 Icomp  nls   RMS: 2.123586077284640e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  2000
 	 lens sides  :    4333
 
 	 ** Cardinalities
 	 polyg. lens full:   69296
 	 polyg. lens comp:      45
 	 vap lens full   :     160
 	 vap lens comp   :      45
 	 nsl lens full:     850
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.369667890000000e-01
 	 FULL RULE     : 1.031975247000000e+00
 	 COMP RULE     : 4.149224620000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.976717159624108e-06
 	 WORST ABS.ERR.  : 1.194741374777042e-05
 	 BETTER REL.ERR. : 7.422953972146374e-06
 	 WORST REL.ERR.  : 2.250703295912521e-04
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 2.008144297637520e+00
 	 Icomp polyg. RMS: 2.008144297637522e+00
 	 Ivap. circ.  RMS: 2.008154920651630e+00
 	 Icomp. vap   RMS: 2.008154920651630e+00
 	 Inls  circ.  RMS: 2.008154920651631e+00
 	 Icomp  nls   RMS: 2.008154920651632e+00
 

 	 .................... EXAMPLE:   1 .......... 

 	 WARNING 2: D5 intersects D4 outside D1 
 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 7.558315254715184e-01
 	 Icomp polyg.: 7.558315254715210e-01
 	 Ifull vap   : 7.558405385695181e-01
 	 Icomp vap   : 7.558405385695168e-01
 	 Ifull c.nsl.: 7.558405385695184e-01
 	 Icomp c.nsl.: 7.558405385695195e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 9.013097999610586e-06
 	 Icomp polyg.: 9.013097997057073e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.192460253146585e-05
 	 Icomp polyg.: 1.192460252808747e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.852618200232375e+00
 	 Icomp polyg. RMS: 2.852618200232377e+00
 	 Ivap. circ.  RMS: 2.852642796434188e+00
 	 Icomp. vap   RMS: 2.852642796434189e+00
 	 Inls  circ.  RMS: 2.852642796434200e+00
 	 Icomp  nls   RMS: 2.852642796434199e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.714640570172053e-01
 	 Icomp polyg.: 4.714640570172061e-01
 	 Ifull vap   : 4.714709449542943e-01
 	 Icomp vap   : 4.714709449542941e-01
 	 Ifull c.nsl.: 4.714709449542941e-01
 	 Icomp c.nsl.: 4.714709449542950e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.887937089028462e-06
 	 Icomp polyg.: 6.887937088251306e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.460946249762262e-05
 	 Icomp polyg.: 1.460946249597426e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.346979866867261e+00
 	 Icomp polyg. RMS: 2.346979866867262e+00
 	 Ivap. circ.  RMS: 2.346996194006771e+00
 	 Icomp. vap   RMS: 2.346996194006771e+00
 	 Inls  circ.  RMS: 2.346996194006765e+00
 	 Icomp  nls   RMS: 2.346996194006766e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.236383380365594e-01
 	 Icomp polyg.: 9.236383380365597e-01
 	 Ifull vap   : 9.236403329800026e-01
 	 Icomp vap   : 9.236403329800025e-01
 	 Ifull c.nsl.: 9.236403329800024e-01
 	 Icomp c.nsl.: 9.236403329800033e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.994943443217601e-06
 	 Icomp polyg.: 1.994943442884534e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.159870430063595e-06
 	 Icomp polyg.: 2.159870429702993e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.251648475154369e+00
 	 Icomp polyg. RMS: 2.251648475154371e+00
 	 Ivap. circ.  RMS: 2.251664700133667e+00
 	 Icomp. vap   RMS: 2.251664700133663e+00
 	 Inls  circ.  RMS: 2.251664700133671e+00
 	 Icomp  nls   RMS: 2.251664700133677e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.743671428886691e-01
 	 Icomp polyg.: 5.743671428886707e-01
 	 Ifull vap   : 5.743722879256903e-01
 	 Icomp vap   : 5.743722879256898e-01
 	 Ifull c.nsl.: 5.743722879256894e-01
 	 Icomp c.nsl.: 5.743722879256900e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 5.145037021203613e-06
 	 Icomp polyg.: 5.145037019538279e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.957669318943979e-06
 	 Icomp polyg.: 8.957669316044580e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.373185970169939e+00
 	 Icomp polyg. RMS: 2.373185970169941e+00
 	 Ivap. circ.  RMS: 2.373204913555223e+00
 	 Icomp. vap   RMS: 2.373204913555223e+00
 	 Inls  circ.  RMS: 2.373204913555226e+00
 	 Icomp  nls   RMS: 2.373204913555229e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.928670413752176e-01
 	 Icomp polyg.: 8.928670413752184e-01
 	 Ifull vap   : 8.928734383788626e-01
 	 Icomp vap   : 8.928734383788617e-01
 	 Ifull c.nsl.: 8.928734383788623e-01
 	 Icomp c.nsl.: 8.928734383788626e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.397003645020050e-06
 	 Icomp polyg.: 6.397003644131871e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.164513323002094e-06
 	 Icomp polyg.: 7.164513322007352e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.954129761742442e+00
 	 Icomp polyg. RMS: 1.954129761742443e+00
 	 Ivap. circ.  RMS: 1.954142454010553e+00
 	 Icomp. vap   RMS: 1.954142454010554e+00
 	 Inls  circ.  RMS: 1.954142454010553e+00
 	 Icomp  nls   RMS: 1.954142454010552e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.735975173036784e-01
 	 Icomp polyg.: 4.735975173036806e-01
 	 Ifull vap   : 4.736043711432768e-01
 	 Icomp vap   : 4.736043711432769e-01
 	 Ifull c.nsl.: 4.736043711432767e-01
 	 Icomp c.nsl.: 4.736043711432771e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.853839598419675e-06
 	 Icomp polyg.: 6.853839596199229e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.447165612486761e-05
 	 Icomp polyg.: 1.447165612017921e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.458312257194566e+00
 	 Icomp polyg. RMS: 2.458312257194569e+00
 	 Ivap. circ.  RMS: 2.458329874970870e+00
 	 Icomp. vap   RMS: 2.458329874970867e+00
 	 Inls  circ.  RMS: 2.458329874970888e+00
 	 Icomp  nls   RMS: 2.458329874970893e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.163180441093135e-01
 	 Icomp polyg.: 2.163180441093133e-01
 	 Ifull vap   : 2.163219050427357e-01
 	 Icomp vap   : 2.163219050427354e-01
 	 Ifull c.nsl.: 2.163219050427359e-01
 	 Icomp c.nsl.: 2.163219050427364e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.860933422195068e-06
 	 Icomp polyg.: 3.860933422417112e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.784809273675875e-05
 	 Icomp polyg.: 1.784809273778520e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.159865622740121e+00
 	 Icomp polyg. RMS: 2.159865622740122e+00
 	 Ivap. circ.  RMS: 2.159878634288039e+00
 	 Icomp. vap   RMS: 2.159878634288040e+00
 	 Inls  circ.  RMS: 2.159878634288034e+00
 	 Icomp  nls   RMS: 2.159878634288035e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.587459294036621e-01
 	 Icomp polyg.: 1.587459294036634e-01
 	 Ifull vap   : 1.587473888238779e-01
 	 Icomp vap   : 1.587473888238777e-01
 	 Ifull c.nsl.: 1.587473888238774e-01
 	 Icomp c.nsl.: 1.587473888238775e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.459420215843554e-06
 	 Icomp polyg.: 1.459420214539042e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.193349425499567e-06
 	 Icomp polyg.: 9.193349417282033e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.371539562656176e+00
 	 Icomp polyg. RMS: 2.371539562656178e+00
 	 Ivap. circ.  RMS: 2.371555923655371e+00
 	 Icomp. vap   RMS: 2.371555923655366e+00
 	 Inls  circ.  RMS: 2.371555923655394e+00
 	 Icomp  nls   RMS: 2.371555923655400e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.381353610659142e-01
 	 Icomp polyg.: 6.381353610659155e-01
 	 Ifull vap   : 6.381426970218538e-01
 	 Icomp vap   : 6.381426970218537e-01
 	 Ifull c.nsl.: 6.381426970218539e-01
 	 Icomp c.nsl.: 6.381426970218544e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 7.335955939602457e-06
 	 Icomp polyg.: 7.335955938270189e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.149579235778864e-05
 	 Icomp polyg.: 1.149579235570091e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.017213178710840e+00
 	 Icomp polyg. RMS: 2.017213178710842e+00
 	 Ivap. circ.  RMS: 2.017226473559347e+00
 	 Icomp. vap   RMS: 2.017226473559345e+00
 	 Inls  circ.  RMS: 2.017226473559361e+00
 	 Icomp  nls   RMS: 2.017226473559365e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.711822187330110e-02
 	 Icomp polyg.: 3.711822187330274e-02
 	 Ifull vap   : 3.712212776107227e-02
 	 Icomp vap   : 3.712212776107116e-02
 	 Ifull c.nsl.: 3.712212776107207e-02
 	 Icomp c.nsl.: 3.712212776107222e-02
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.905887771160632e-06
 	 Icomp polyg.: 3.905887769523053e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.052172385241479e-04
 	 Icomp polyg.: 1.052172384800346e-04 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.649561270671492e+00
 	 Icomp polyg. RMS: 2.649561270671493e+00
 	 Ivap. circ.  RMS: 2.649583494227034e+00
 	 Icomp. vap   RMS: 2.649583494227032e+00
 	 Inls  circ.  RMS: 2.649583494227038e+00
 	 Icomp  nls   RMS: 2.649583494227040e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    4333
 
 	 ** Cardinalities
 	 polyg. lens full:  103944
 	 polyg. lens comp:      66
 	 vap lens full   :     222
 	 vap lens comp   :      66
 	 nsl lens full:    1128
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.835445510000000e-01
 	 FULL RULE     : 2.283884207000000e+00
 	 COMP RULE     : 9.989675630000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 1.459420215843554e-06
 	 WORST ABS.ERR.  : 9.013097999610586e-06
 	 BETTER REL.ERR. : 2.159870430063595e-06
 	 WORST REL.ERR.  : 1.052172385241479e-04
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 2.343505416613958e+00
 	 Icomp polyg. RMS: 2.343505416613960e+00
 	 Ivap. circ.  RMS: 2.343522545884106e+00
 	 Icomp. vap   RMS: 2.343522545884105e+00
 	 Inls  circ.  RMS: 2.343522545884113e+00
 	 Icomp  nls   RMS: 2.343522545884116e+00
 
la
{Undefined function or variable 'la'.
} 
ls
_demoRMSWE.m			demo_optics_II.m		gauss.m				r_jacobi.m
chebyshev.m			demo_optics_III.m		gqlune.m			set_rules_embedded.m
comprexcub.m			demo_polygauss_cardinality.m	lawsonhanson.m			trigauss.m
cubature_triangle.m		demo_polygauss_quatrefoil.m	new_standardlenses.m		vandermonde_zernike.m
demo_opticsIV.m			demo_triangulation.m		polygauss_2017.m		vap.m
demo_optics_I.m			diary				polygauss_2018.m

cd ..
ls
LATEX			MATLAB			MATLAB_QUICK_DEMO

cd ..
ls
ASV				SV_2018_061218_POLYGONS		ZIPS
SIAM TEX 2017			SV_2018_160818_UNIONDISKS	_2018

cd ..
ls
ARTICOLI_NOSTRI_ORIGINALI	SOFTWARE 2018			TEX
BOOKS_2017			SOFTWARE 2019			ZIP

cd 'SOFTWARE 2019'/
ls
CHEBFUNGAUSS_2019	HYPERPOLY_2019		HYPERPOLY_2019.zip

cd HYPERPOLY_2019/
ls
comprexcub.m		demo_polygauss.m	demo_polygauss_hyper.m	multivop_2017.m		polygauss_2018.m
cubature_triangle.m	demo_polygauss_II.m	lawsonhanson.m		polygauss_2017.m

demo_polygauss
{Operation terminated by user during <a href="matlab:matlab.internal.language.introspective.errorDocCallback('lsqnonneg', '/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m', 162)" style="font-weight:bold">lsqnonneg</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m',162,0)">line 162</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('comprexcub', '/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/comprexcub.m', 51)" style="font-weight:bold">comprexcub</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/comprexcub.m',51,0)">line 51</a>)
        weights=lsqnonneg(Q',orthmom);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss', '/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/demo_polygauss.m', 138)" style="font-weight:bold">demo_polygauss</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/demo_polygauss.m',138,0)">line 138</a>)
[pts,w,momerr] = comprexcub(ade,xyw(:,1:2),xyw(:,3),pos);
} 
demo_polygauss(1)
{Operation terminated by user during <a href="matlab:matlab.internal.language.introspective.errorDocCallback('lsqnonneg', '/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m', 162)" style="font-weight:bold">lsqnonneg</a> (<a href="matlab: opentoline('/Applications/MATLAB_R2018a.app/toolbox/matlab/optimfun/lsqnonneg.m',162,0)">line 162</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('comprexcub', '/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/comprexcub.m', 51)" style="font-weight:bold">comprexcub</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/comprexcub.m',51,0)">line 51</a>)
        weights=lsqnonneg(Q',orthmom);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_polygauss', '/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/demo_polygauss.m', 138)" style="font-weight:bold">demo_polygauss</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/SOFTWARE 2019/HYPERPOLY_2019/demo_polygauss.m',138,0)">line 138</a>)
[pts,w,momerr] = comprexcub(ade,xyw(:,1:2),xyw(:,3),pos);
} 
edit demo_polygauss
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      10
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:      96
  #COMP:      66
  #GG  :     660
 *** CUBATURE RESULTS ***
  IFULL: 4.384463097152656e+03
  ICOMP: 4.384463097152657e+03
  IGG  : 4.384463097152655e+03
 *** CPUTIMES ***
  FULL : 5.880764000000000e-03
  COMP : 6.881784000000000e-03
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      15
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:     184
  #COMP:     136
  #GG  :    1440
 *** CUBATURE RESULTS ***
  IFULL: 1.020894896547785e+06
  ICOMP: 1.020894896547783e+06
  IGG  : 1.020894896547785e+06
 *** CPUTIMES ***
  FULL : 1.436198200000000e-02
  COMP : 5.356967500000000e-02
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      20
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:     312
  #COMP:     231
  #GG  :    2520
 *** CUBATURE RESULTS ***
  IFULL: 2.797505027264854e+08
  ICOMP: 2.797505027264853e+08
  IGG  : 2.797505027264854e+08
 *** CPUTIMES ***
  FULL : 1.691388100000000e-02
  COMP : 2.859633960000000e-01
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      25
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:     468
  #COMP:     351
  #GG  :    3900
 *** CUBATURE RESULTS ***
  IFULL: 8.434419859888147e+10
  ICOMP: 8.434419859888116e+10
  IGG  : 8.434419859888156e+10
 *** CPUTIMES ***
  FULL : 1.560015500000000e-02
  COMP : 1.236632081000000e+00
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      30
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:     684
  #COMP:     496
  #GG  :    5580
 *** CUBATURE RESULTS ***
  IFULL: 2.710459687016846e+13
  ICOMP: 2.710459687016874e+13
  IGG  : 2.710459687016845e+13
 *** CPUTIMES ***
  FULL : 9.015547000000000e-03
  COMP : 4.284248071000000e+00
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      35
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:     912
  #COMP:     666
  #GG  :    7560
 *** CUBATURE RESULTS ***
  IFULL: 9.121012696936518e+15
  ICOMP: 9.121012696936582e+15
  IGG  : 9.121012696936524e+15
 *** CPUTIMES ***
  FULL : 1.417719100000000e-02
  COMP : 1.276921151700000e+01
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 
demo_polygauss(1)

 *** DATA ***
  EXAMPLE:       1
  ADE    :      40
 *** CARDINALITIES OF THE FORMULA ***
  #FULL:    1180
  #COMP:     861
  #GG  :    9840
 *** CUBATURE RESULTS ***
  IFULL: 3.178770434220997e+18
  ICOMP: 3.178770434221000e+18
  IGG  : 3.178770434220997e+18
 *** CPUTIMES ***
  FULL : 9.837248999999999e-03
  COMP : 4.095670729300000e+01
 *** LEGEND ***
  IFULL: NEW FULL FORMULA
  ICOMP: NEW COMPRESSED FORMULA
  IGG  : OLD GAUSS-GREEN FORMULA 
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.866425470014968e-01
 	 Icomp polyg.: 9.866425470014997e-01
 	 Ifull vap   : 9.910545167295961e-01
 	 Icomp vap   : 9.910545167295959e-01
 	 Ifull c.nsl.: 9.910545167295943e-01
 	 Icomp c.nsl.: 9.910545167295951e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.411969728099319e-03
 	 Icomp polyg.: 4.411969728096432e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.451793169419660e-03
 	 Icomp polyg.: 4.451793169416748e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.909089154281768e+00
 	 Icomp polyg. RMS: 2.909089154281761e+00
 	 Ivap. circ.  RMS: 2.918185945801727e+00
 	 Icomp. vap   RMS: 2.918185945801704e+00
 	 Inls  circ.  RMS: 2.918185945801726e+00
 	 Icomp  nls   RMS: 2.918185945801740e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.835926468658403e-01
 	 Icomp polyg.: 5.835926468658421e-01
 	 Ifull vap   : 5.856569034392013e-01
 	 Icomp vap   : 5.856569034392010e-01
 	 Ifull c.nsl.: 5.856569034392005e-01
 	 Icomp c.nsl.: 5.856569034392010e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.064256573360956e-03
 	 Icomp polyg.: 2.064256573359180e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.524685803648608e-03
 	 Icomp polyg.: 3.524685803645575e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.411026919798279e+00
 	 Icomp polyg. RMS: 2.411026919798277e+00
 	 Ivap. circ.  RMS: 2.417296716111825e+00
 	 Icomp. vap   RMS: 2.417296716111822e+00
 	 Inls  circ.  RMS: 2.417296716111824e+00
 	 Icomp  nls   RMS: 2.417296716111829e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.930065243215394e-01
 	 Icomp polyg.: 9.930065243215400e-01
 	 Ifull vap   : 9.942967361983640e-01
 	 Icomp vap   : 9.942967361983652e-01
 	 Ifull c.nsl.: 9.942967361983623e-01
 	 Icomp c.nsl.: 9.942967361983627e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.290211876824654e-03
 	 Icomp polyg.: 1.290211876823988e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.297612503242950e-03
 	 Icomp polyg.: 1.297612503242280e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.293782294538984e+00
 	 Icomp polyg. RMS: 2.293782294538985e+00
 	 Ivap. circ.  RMS: 2.299794530623040e+00
 	 Icomp. vap   RMS: 2.299794530623032e+00
 	 Inls  circ.  RMS: 2.299794530623039e+00
 	 Icomp  nls   RMS: 2.299794530623035e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.967702079414448e-01
 	 Icomp polyg.: 6.967702079414462e-01
 	 Ifull vap   : 6.984214839836392e-01
 	 Icomp vap   : 6.984214839836406e-01
 	 Ifull c.nsl.: 6.984214839836382e-01
 	 Icomp c.nsl.: 6.984214839836387e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.651276042194394e-03
 	 Icomp polyg.: 1.651276042193062e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.364297319114364e-03
 	 Icomp polyg.: 2.364297319112457e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.388170027274759e+00
 	 Icomp polyg. RMS: 2.388170027274754e+00
 	 Ivap. circ.  RMS: 2.395729907989522e+00
 	 Icomp. vap   RMS: 2.395729907989516e+00
 	 Inls  circ.  RMS: 2.395729907989521e+00
 	 Icomp  nls   RMS: 2.395729907989521e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.949626526524253e-01
 	 Icomp polyg.: 9.949626526524269e-01
 	 Ifull vap   : 9.979171601408956e-01
 	 Icomp vap   : 9.979171601408957e-01
 	 Ifull c.nsl.: 9.979171601408940e-01
 	 Icomp c.nsl.: 9.979171601408948e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.954507488470259e-03
 	 Icomp polyg.: 2.954507488468705e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.960674098492417e-03
 	 Icomp polyg.: 2.960674098490860e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.983146937712043e+00
 	 Icomp polyg. RMS: 1.983146937712039e+00
 	 Ivap. circ.  RMS: 1.988245822237676e+00
 	 Icomp. vap   RMS: 1.988245822237662e+00
 	 Inls  circ.  RMS: 1.988245822237675e+00
 	 Icomp  nls   RMS: 1.988245822237684e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.843698254542822e-01
 	 Icomp polyg.: 6.843698254542832e-01
 	 Ifull vap   : 6.887255168748616e-01
 	 Icomp vap   : 6.887255168748646e-01
 	 Ifull c.nsl.: 6.887255168748589e-01
 	 Icomp c.nsl.: 6.887255168748596e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.355691420579455e-03
 	 Icomp polyg.: 4.355691420578456e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.324277689526733e-03
 	 Icomp polyg.: 6.324277689525283e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.469810366148853e+00
 	 Icomp polyg. RMS: 2.469810366148850e+00
 	 Ivap. circ.  RMS: 2.476229894392830e+00
 	 Icomp. vap   RMS: 2.476229894392841e+00
 	 Inls  circ.  RMS: 2.476229894392828e+00
 	 Icomp  nls   RMS: 2.476229894392818e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.337828969360491e-01
 	 Icomp polyg.: 2.337828969360501e-01
 	 Ifull vap   : 2.360500506900082e-01
 	 Icomp vap   : 2.360500506900092e-01
 	 Ifull c.nsl.: 2.360500506900073e-01
 	 Icomp c.nsl.: 2.360500506900076e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.267153753959111e-03
 	 Icomp polyg.: 2.267153753958084e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.604546778667894e-03
 	 Icomp polyg.: 9.604546778663544e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.175982495780239e+00
 	 Icomp polyg. RMS: 2.175982495780239e+00
 	 Ivap. circ.  RMS: 2.180944734462567e+00
 	 Icomp. vap   RMS: 2.180944734462565e+00
 	 Inls  circ.  RMS: 2.180944734462566e+00
 	 Icomp  nls   RMS: 2.180944734462568e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.368860803208945e-01
 	 Icomp polyg.: 1.368860803208942e-01
 	 Ifull vap   : 1.375197717491143e-01
 	 Icomp vap   : 1.375197717491159e-01
 	 Ifull c.nsl.: 1.375197717491140e-01
 	 Icomp c.nsl.: 1.375197717491142e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.336914282198403e-04
 	 Icomp polyg.: 6.336914282201178e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.608002326937554e-03
 	 Icomp polyg.: 4.608002326939573e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.418822786180761e+00
 	 Icomp polyg. RMS: 2.418822786180765e+00
 	 Ivap. circ.  RMS: 2.425120368760965e+00
 	 Icomp. vap   RMS: 2.425120368760958e+00
 	 Inls  circ.  RMS: 2.425120368760963e+00
 	 Icomp  nls   RMS: 2.425120368760959e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.242735761891459e-01
 	 Icomp polyg.: 9.242735761891465e-01
 	 Ifull vap   : 9.278758449882494e-01
 	 Icomp vap   : 9.278758449882505e-01
 	 Ifull c.nsl.: 9.278758449882480e-01
 	 Icomp c.nsl.: 9.278758449882485e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.602268799103525e-03
 	 Icomp polyg.: 3.602268799102859e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.882274572142940e-03
 	 Icomp polyg.: 3.882274572142223e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.975601770069731e+00
 	 Icomp polyg. RMS: 1.975601770069731e+00
 	 Ivap. circ.  RMS: 1.980396447033574e+00
 	 Icomp. vap   RMS: 1.980396447033576e+00
 	 Inls  circ.  RMS: 1.980396447033574e+00
 	 Icomp  nls   RMS: 1.980396447033570e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.180918875511501e-01
 	 Icomp polyg.: 2.180918875511512e-01
 	 Ifull vap   : 2.199680413371753e-01
 	 Icomp vap   : 2.199680413371759e-01
 	 Ifull c.nsl.: 2.199680413371743e-01
 	 Icomp c.nsl.: 2.199680413371752e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.876153786025236e-03
 	 Icomp polyg.: 1.876153786024126e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.529210764528276e-03
 	 Icomp polyg.: 8.529210764523230e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.691923696202104e+00
 	 Icomp polyg. RMS: 2.691923696202104e+00
 	 Ivap. circ.  RMS: 2.700508526612974e+00
 	 Icomp. vap   RMS: 2.700508526612963e+00
 	 Inls  circ.  RMS: 2.700508526612972e+00
 	 Icomp  nls   RMS: 2.700508526612975e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.189567010000000e-01
 	 FULL RULE     : 3.119628460000000e-01
 	 COMP RULE     : 1.256443890000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 6.336914282198403e-04
 	 WORST ABS.ERR.  : 4.411969728099319e-03
 	 BETTER REL.ERR. : 1.297612503242950e-03
 	 WORST REL.ERR.  : 9.604546778667894e-03
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 2.371735644798752e+00
 	 Icomp polyg. RMS: 2.371735644798750e+00
 	 Ivap. circ.  RMS: 2.378245289402670e+00
 	 Icomp. vap   RMS: 2.378245289402664e+00
 	 Inls  circ.  RMS: 2.378245289402669e+00
 	 Icomp  nls   RMS: 2.378245289402670e+00
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.866425470014968e-01
 	 Icomp polyg.: 9.866425470014997e-01
 	 Ifull vap   : 9.910545167295961e-01
 	 Icomp vap   : 9.910545167295959e-01
 	 Ifull c.nsl.: 9.910545167295943e-01
 	 Icomp c.nsl.: 9.910545167295951e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.411969728099319e-03
 	 Icomp polyg.: 4.411969728096432e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.451793169419660e-03
 	 Icomp polyg.: 4.451793169416748e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.226287801864379e+00
 	 Icomp polyg. RMS: 2.226287801864374e+00
 	 Ivap. circ.  RMS: 2.233394613092893e+00
 	 Icomp. vap   RMS: 2.233394613092877e+00
 	 Inls  circ.  RMS: 2.233394613092892e+00
 	 Icomp  nls   RMS: 2.233394613092903e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.835926468658403e-01
 	 Icomp polyg.: 5.835926468658421e-01
 	 Ifull vap   : 5.856569034392013e-01
 	 Icomp vap   : 5.856569034392010e-01
 	 Ifull c.nsl.: 5.856569034392005e-01
 	 Icomp c.nsl.: 5.856569034392010e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.064256573360956e-03
 	 Icomp polyg.: 2.064256573359180e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.524685803648608e-03
 	 Icomp polyg.: 3.524685803645575e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.823060552482630e+00
 	 Icomp polyg. RMS: 1.823060552482628e+00
 	 Ivap. circ.  RMS: 1.827844554430972e+00
 	 Icomp. vap   RMS: 1.827844554430969e+00
 	 Inls  circ.  RMS: 1.827844554430971e+00
 	 Icomp  nls   RMS: 1.827844554430975e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.930065243215394e-01
 	 Icomp polyg.: 9.930065243215400e-01
 	 Ifull vap   : 9.942967361983640e-01
 	 Icomp vap   : 9.942967361983652e-01
 	 Ifull c.nsl.: 9.942967361983623e-01
 	 Icomp c.nsl.: 9.942967361983627e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.290211876824654e-03
 	 Icomp polyg.: 1.290211876823988e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.297612503242950e-03
 	 Icomp polyg.: 1.297612503242280e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.781964196734054e+00
 	 Icomp polyg. RMS: 1.781964196734056e+00
 	 Ivap. circ.  RMS: 1.786454558540235e+00
 	 Icomp. vap   RMS: 1.786454558540230e+00
 	 Inls  circ.  RMS: 1.786454558540234e+00
 	 Icomp  nls   RMS: 1.786454558540231e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.967702079414448e-01
 	 Icomp polyg.: 6.967702079414462e-01
 	 Ifull vap   : 6.984214839836392e-01
 	 Icomp vap   : 6.984214839836406e-01
 	 Ifull c.nsl.: 6.984214839836382e-01
 	 Icomp c.nsl.: 6.984214839836387e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.651276042194394e-03
 	 Icomp polyg.: 1.651276042193062e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.364297319114364e-03
 	 Icomp polyg.: 2.364297319112457e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.816086504321987e+00
 	 Icomp polyg. RMS: 1.816086504321984e+00
 	 Ivap. circ.  RMS: 1.821782967013863e+00
 	 Icomp. vap   RMS: 1.821782967013860e+00
 	 Inls  circ.  RMS: 1.821782967013862e+00
 	 Icomp  nls   RMS: 1.821782967013863e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.949626526524253e-01
 	 Icomp polyg.: 9.949626526524269e-01
 	 Ifull vap   : 9.979171601408956e-01
 	 Icomp vap   : 9.979171601408957e-01
 	 Ifull c.nsl.: 9.979171601408940e-01
 	 Icomp c.nsl.: 9.979171601408948e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.954507488470259e-03
 	 Icomp polyg.: 2.954507488468705e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.960674098492417e-03
 	 Icomp polyg.: 2.960674098490860e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.560758494699446e+00
 	 Icomp polyg. RMS: 1.560758494699443e+00
 	 Ivap. circ.  RMS: 1.564833722180174e+00
 	 Icomp. vap   RMS: 1.564833722180164e+00
 	 Inls  circ.  RMS: 1.564833722180173e+00
 	 Icomp  nls   RMS: 1.564833722180180e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.843698254542822e-01
 	 Icomp polyg.: 6.843698254542832e-01
 	 Ifull vap   : 6.887255168748616e-01
 	 Icomp vap   : 6.887255168748646e-01
 	 Ifull c.nsl.: 6.887255168748589e-01
 	 Icomp c.nsl.: 6.887255168748596e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 4.355691420579455e-03
 	 Icomp polyg.: 4.355691420578456e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.324277689526733e-03
 	 Icomp polyg.: 6.324277689525283e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.874824710855997e+00
 	 Icomp polyg. RMS: 1.874824710855995e+00
 	 Ivap. circ.  RMS: 1.879930248105899e+00
 	 Icomp. vap   RMS: 1.879930248105907e+00
 	 Inls  circ.  RMS: 1.879930248105897e+00
 	 Icomp  nls   RMS: 1.879930248105889e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.337828969360491e-01
 	 Icomp polyg.: 2.337828969360501e-01
 	 Ifull vap   : 2.360500506900082e-01
 	 Icomp vap   : 2.360500506900092e-01
 	 Ifull c.nsl.: 2.360500506900073e-01
 	 Icomp c.nsl.: 2.360500506900076e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.267153753959111e-03
 	 Icomp polyg.: 2.267153753958084e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.604546778667894e-03
 	 Icomp polyg.: 9.604546778663544e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.628548395903058e+00
 	 Icomp polyg. RMS: 1.628548395903059e+00
 	 Ivap. circ.  RMS: 1.632323873814026e+00
 	 Icomp. vap   RMS: 1.632323873814024e+00
 	 Inls  circ.  RMS: 1.632323873814025e+00
 	 Icomp  nls   RMS: 1.632323873814027e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.368860803208945e-01
 	 Icomp polyg.: 1.368860803208942e-01
 	 Ifull vap   : 1.375197717491143e-01
 	 Icomp vap   : 1.375197717491159e-01
 	 Ifull c.nsl.: 1.375197717491140e-01
 	 Icomp c.nsl.: 1.375197717491142e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.336914282198403e-04
 	 Icomp polyg.: 6.336914282201178e-04
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.608002326937554e-03
 	 Icomp polyg.: 4.608002326939573e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.806966687781803e+00
 	 Icomp polyg. RMS: 1.806966687781806e+00
 	 Ivap. circ.  RMS: 1.811676446076688e+00
 	 Icomp. vap   RMS: 1.811676446076683e+00
 	 Inls  circ.  RMS: 1.811676446076687e+00
 	 Icomp  nls   RMS: 1.811676446076683e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.242735761891459e-01
 	 Icomp polyg.: 9.242735761891465e-01
 	 Ifull vap   : 9.278758449882494e-01
 	 Icomp vap   : 9.278758449882505e-01
 	 Ifull c.nsl.: 9.278758449882480e-01
 	 Icomp c.nsl.: 9.278758449882485e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.602268799103525e-03
 	 Icomp polyg.: 3.602268799102859e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.882274572142940e-03
 	 Icomp polyg.: 3.882274572142223e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.544619453204938e+00
 	 Icomp polyg. RMS: 1.544619453204938e+00
 	 Ivap. circ.  RMS: 1.548568941800705e+00
 	 Icomp. vap   RMS: 1.548568941800707e+00
 	 Inls  circ.  RMS: 1.548568941800705e+00
 	 Icomp  nls   RMS: 1.548568941800703e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.180918875511501e-01
 	 Icomp polyg.: 2.180918875511512e-01
 	 Ifull vap   : 2.199680413371753e-01
 	 Icomp vap   : 2.199680413371759e-01
 	 Ifull c.nsl.: 2.199680413371743e-01
 	 Icomp c.nsl.: 2.199680413371752e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.876153786025236e-03
 	 Icomp polyg.: 1.876153786024126e-03
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.529210764528276e-03
 	 Icomp polyg.: 8.529210764523230e-03 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.012478561476649e+00
 	 Icomp polyg. RMS: 2.012478561476649e+00
 	 Ivap. circ.  RMS: 2.018928220610629e+00
 	 Icomp. vap   RMS: 2.018928220610620e+00
 	 Inls  circ.  RMS: 2.018928220610627e+00
 	 Icomp  nls   RMS: 2.018928220610630e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.392731140000000e-01
 	 FULL RULE     : 3.128199360000000e-01
 	 COMP RULE     : 1.264429270000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 6.336914282198403e-04
 	 WORST ABS.ERR.  : 4.411969728099319e-03
 	 BETTER REL.ERR. : 1.297612503242950e-03
 	 WORST REL.ERR.  : 9.604546778667894e-03
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.807559535932494e+00
 	 Icomp polyg. RMS: 1.807559535932493e+00
 	 Ivap. circ.  RMS: 1.812573814566608e+00
 	 Icomp. vap   RMS: 1.812573814566604e+00
 	 Inls  circ.  RMS: 1.812573814566608e+00
 	 Icomp  nls   RMS: 1.812573814566608e+00
 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.542502857220414e-01
 	 Icomp polyg.: 6.542502857220405e-01
 	 Ifull vap   : 6.542833906498333e-01
 	 Icomp vap   : 6.542833906498352e-01
 	 Ifull c.nsl.: 6.542833906498323e-01
 	 Icomp c.nsl.: 6.542833906498324e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.310492779196039e-05
 	 Icomp polyg.: 3.310492779284857e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.059723090185833e-05
 	 Icomp polyg.: 5.059723090321582e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.572769466132026e+00
 	 Icomp polyg. RMS: 1.572769466132023e+00
 	 Ivap. circ.  RMS: 1.572806205567950e+00
 	 Icomp. vap   RMS: 1.572806205567953e+00
 	 Inls  circ.  RMS: 1.572806205567950e+00
 	 Icomp  nls   RMS: 1.572806205567948e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.814803539744666e-01
 	 Icomp polyg.: 2.814803539744678e-01
 	 Ifull vap   : 2.814871055389213e-01
 	 Icomp vap   : 2.814871055389236e-01
 	 Ifull c.nsl.: 2.814871055389202e-01
 	 Icomp c.nsl.: 2.814871055389208e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.751564454676728e-06
 	 Icomp polyg.: 6.751564453510994e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.398534185695830e-05
 	 Icomp polyg.: 2.398534185281696e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.664723458593174e+00
 	 Icomp polyg. RMS: 1.664723458593171e+00
 	 Ivap. circ.  RMS: 1.664769954912540e+00
 	 Icomp. vap   RMS: 1.664769954912530e+00
 	 Inls  circ.  RMS: 1.664769954912539e+00
 	 Icomp  nls   RMS: 1.664769954912534e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.066973917164321e+00
 	 Icomp polyg.: 1.066973917164318e+00
 	 Ifull vap   : 1.066999125881513e+00
 	 Icomp vap   : 1.066999125881513e+00
 	 Ifull c.nsl.: 1.066999125881513e+00
 	 Icomp c.nsl.: 1.066999125881514e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.520871719169371e-05
 	 Icomp polyg.: 2.520871719480233e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.362580866302703e-05
 	 Icomp polyg.: 2.362580866594045e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.785171003782915e+00
 	 Icomp polyg. RMS: 1.785171003782911e+00
 	 Ivap. circ.  RMS: 1.785218160622607e+00
 	 Icomp. vap   RMS: 1.785218160622603e+00
 	 Inls  circ.  RMS: 1.785218160622605e+00
 	 Icomp  nls   RMS: 1.785218160622610e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.558422103702974e-01
 	 Icomp polyg.: 8.558422103702962e-01
 	 Ifull vap   : 8.558751772366229e-01
 	 Icomp vap   : 8.558751772366251e-01
 	 Ifull c.nsl.: 8.558751772366218e-01
 	 Icomp c.nsl.: 8.558751772366222e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.296686632547896e-05
 	 Icomp polyg.: 3.296686632670021e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.851831108353858e-05
 	 Icomp polyg.: 3.851831108496548e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.010980975295536e+00
 	 Icomp polyg. RMS: 2.010980975295532e+00
 	 Ivap. circ.  RMS: 2.011032408083768e+00
 	 Icomp. vap   RMS: 2.011032408083765e+00
 	 Inls  circ.  RMS: 2.011032408083767e+00
 	 Icomp  nls   RMS: 2.011032408083763e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.399085553486067e-01
 	 Icomp polyg.: 5.399085553486060e-01
 	 Ifull vap   : 5.399390438951412e-01
 	 Icomp vap   : 5.399390438951439e-01
 	 Ifull c.nsl.: 5.399390438951392e-01
 	 Icomp c.nsl.: 5.399390438951401e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.048854653453503e-05
 	 Icomp polyg.: 3.048854653520117e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.646664540980307e-05
 	 Icomp polyg.: 5.646664541103679e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.724150915404131e+00
 	 Icomp polyg. RMS: 1.724150915404129e+00
 	 Ivap. circ.  RMS: 1.724199421123874e+00
 	 Icomp. vap   RMS: 1.724199421123861e+00
 	 Inls  circ.  RMS: 1.724199421123873e+00
 	 Icomp  nls   RMS: 1.724199421123876e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.800328557850517e-01
 	 Icomp polyg.: 1.800328557850533e-01
 	 Ifull vap   : 1.800430932781759e-01
 	 Icomp vap   : 1.800430932781783e-01
 	 Ifull c.nsl.: 1.800430932781729e-01
 	 Icomp c.nsl.: 1.800430932781733e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.023749312417666e-05
 	 Icomp polyg.: 1.023749312265010e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.686134879030987e-05
 	 Icomp polyg.: 5.686134878183103e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.452981583554458e+00
 	 Icomp polyg. RMS: 1.452981583554455e+00
 	 Ivap. circ.  RMS: 1.453028880723233e+00
 	 Icomp. vap   RMS: 1.453028880723223e+00
 	 Inls  circ.  RMS: 1.453028880723231e+00
 	 Icomp  nls   RMS: 1.453028880723225e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.613114379239961e-01
 	 Icomp polyg.: 8.613114379239937e-01
 	 Ifull vap   : 8.613450955453437e-01
 	 Icomp vap   : 8.613450955453459e-01
 	 Ifull c.nsl.: 8.613450955453426e-01
 	 Icomp c.nsl.: 8.613450955453434e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.365762134754924e-05
 	 Icomp polyg.: 3.365762134999173e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.907565216498920e-05
 	 Icomp polyg.: 3.907565216782487e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.821416104258111e+00
 	 Icomp polyg. RMS: 1.821416104258108e+00
 	 Ivap. circ.  RMS: 1.821470486889598e+00
 	 Icomp. vap   RMS: 1.821470486889586e+00
 	 Inls  circ.  RMS: 1.821470486889597e+00
 	 Icomp  nls   RMS: 1.821470486889597e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.167063448057408e-01
 	 Icomp polyg.: 2.167063448057398e-01
 	 Ifull vap   : 2.167421919545251e-01
 	 Icomp vap   : 2.167421919545263e-01
 	 Ifull c.nsl.: 2.167421919545237e-01
 	 Icomp c.nsl.: 2.167421919545242e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.584714878429596e-05
 	 Icomp polyg.: 3.584714878526740e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.653907273938481e-04
 	 Icomp polyg.: 1.653907273983301e-04 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.711844813604806e+00
 	 Icomp polyg. RMS: 1.711844813604802e+00
 	 Ivap. circ.  RMS: 1.711889967995036e+00
 	 Icomp. vap   RMS: 1.711889967995032e+00
 	 Inls  circ.  RMS: 1.711889967995035e+00
 	 Icomp  nls   RMS: 1.711889967995037e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 4.194653617687170e-01
 	 Icomp polyg.: 4.194653617687162e-01
 	 Ifull vap   : 4.195017576658593e-01
 	 Icomp vap   : 4.195017576658614e-01
 	 Ifull c.nsl.: 4.195017576658568e-01
 	 Icomp c.nsl.: 4.195017576658573e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.639589714227176e-05
 	 Icomp polyg.: 3.639589714310443e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 8.675982037544107e-05
 	 Icomp polyg.: 8.675982037742596e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.726094365931001e+00
 	 Icomp polyg. RMS: 1.726094365930998e+00
 	 Ivap. circ.  RMS: 1.726139520301071e+00
 	 Icomp. vap   RMS: 1.726139520301067e+00
 	 Inls  circ.  RMS: 1.726139520301070e+00
 	 Icomp  nls   RMS: 1.726139520301069e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.540916486997140e-01
 	 Icomp polyg.: 3.540916486997123e-01
 	 Ifull vap   : 3.541193766672132e-01
 	 Icomp vap   : 3.541193766672143e-01
 	 Ifull c.nsl.: 3.541193766672122e-01
 	 Icomp c.nsl.: 3.541193766672125e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.772796749916928e-05
 	 Icomp polyg.: 2.772796750083462e-05
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.830118690519126e-05
 	 Icomp polyg.: 7.830118690989401e-05 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.767451445205440e+00
 	 Icomp polyg. RMS: 1.767451445205436e+00
 	 Ivap. circ.  RMS: 1.767500441032642e+00
 	 Icomp. vap   RMS: 1.767500441032642e+00
 	 Inls  circ.  RMS: 1.767500441032641e+00
 	 Icomp  nls   RMS: 1.767500441032642e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  1000
 	 lens sides  :    1995
 
 	 ** Cardinalities
 	 polyg. lens full:   47832
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.325934250000000e-01
 	 FULL RULE     : 5.742465490000001e-01
 	 COMP RULE     : 4.864263180000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 6.751564454676728e-06
 	 WORST ABS.ERR.  : 3.639589714227176e-05
 	 BETTER REL.ERR. : 2.362580866302703e-05
 	 WORST REL.ERR.  : 1.653907273938481e-04
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.723758413176160e+00
 	 Icomp polyg. RMS: 1.723758413176157e+00
 	 Ivap. circ.  RMS: 1.723805544725232e+00
 	 Icomp. vap   RMS: 1.723805544725226e+00
 	 Inls  circ.  RMS: 1.723805544725231e+00
 	 Icomp  nls   RMS: 1.723805544725230e+00
 
demo_optics_III

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.729296414498288e-01
 	 Icomp polyg.: 6.729296414498258e-01
 	 Ifull vap   : 6.729305623289255e-01
 	 Icomp vap   : 6.729305623289255e-01
 	 Ifull c.nsl.: 6.729305623289238e-01
 	 Icomp c.nsl.: 6.729305623289243e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 9.208790966441782e-07
 	 Icomp polyg.: 9.208790996417804e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.368460801449016e-06
 	 Icomp polyg.: 1.368460805903565e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.653334354398520e+00
 	 Icomp polyg. RMS: 1.653334354398518e+00
 	 Ivap. circ.  RMS: 1.653336228206715e+00
 	 Icomp. vap   RMS: 1.653336228206703e+00
 	 Inls  circ.  RMS: 1.653336228206714e+00
 	 Icomp  nls   RMS: 1.653336228206718e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.217482170008886e-01
 	 Icomp polyg.: 6.217482170008860e-01
 	 Ifull vap   : 6.217494785575834e-01
 	 Icomp vap   : 6.217494785575834e-01
 	 Ifull c.nsl.: 6.217494785575821e-01
 	 Icomp c.nsl.: 6.217494785575830e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.261556694887034e-06
 	 Icomp polyg.: 1.261556697440547e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.029043430504775e-06
 	 Icomp polyg.: 2.029043434611755e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.786865463194673e+00
 	 Icomp polyg. RMS: 1.786865463194669e+00
 	 Ivap. circ.  RMS: 1.786867127385743e+00
 	 Icomp. vap   RMS: 1.786867127385743e+00
 	 Inls  circ.  RMS: 1.786867127385742e+00
 	 Icomp  nls   RMS: 1.786867127385744e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 6.137237094158359e-01
 	 Icomp polyg.: 6.137237094158334e-01
 	 Ifull vap   : 6.137240229158368e-01
 	 Icomp vap   : 6.137240229158377e-01
 	 Ifull c.nsl.: 6.137240229158363e-01
 	 Icomp c.nsl.: 6.137240229158369e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 3.135000009590883e-07
 	 Icomp polyg.: 3.135000034015789e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 5.108159192948524e-07
 	 Icomp polyg.: 5.108159232746390e-07 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.717284086016745e+00
 	 Icomp polyg. RMS: 1.717284086016743e+00
 	 Ivap. circ.  RMS: 1.717286111334679e+00
 	 Icomp. vap   RMS: 1.717286111334668e+00
 	 Inls  circ.  RMS: 1.717286111334678e+00
 	 Icomp  nls   RMS: 1.717286111334682e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.614027813240241e-01
 	 Icomp polyg.: 8.614027813240206e-01
 	 Ifull vap   : 8.614036249748465e-01
 	 Icomp vap   : 8.614036249748469e-01
 	 Ifull c.nsl.: 8.614036249748445e-01
 	 Icomp c.nsl.: 8.614036249748453e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.436508223130801e-07
 	 Icomp polyg.: 8.436508258657938e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 9.793908428673204e-07
 	 Icomp polyg.: 9.793908469916515e-07 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.802225513323573e+00
 	 Icomp polyg. RMS: 1.802225513323569e+00
 	 Ivap. circ.  RMS: 1.802227782336982e+00
 	 Icomp. vap   RMS: 1.802227782336969e+00
 	 Inls  circ.  RMS: 1.802227782336981e+00
 	 Icomp  nls   RMS: 1.802227782336983e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.844152229635700e-01
 	 Icomp polyg.: 5.844152229635681e-01
 	 Ifull vap   : 5.844160585518134e-01
 	 Icomp vap   : 5.844160585518136e-01
 	 Ifull c.nsl.: 5.844160585518127e-01
 	 Icomp c.nsl.: 5.844160585518132e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.355882434862849e-07
 	 Icomp polyg.: 8.355882453736641e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.429783167760444e-06
 	 Icomp polyg.: 1.429783170989957e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.797708486696372e+00
 	 Icomp polyg. RMS: 1.797708486696368e+00
 	 Ivap. circ.  RMS: 1.797710509699276e+00
 	 Icomp. vap   RMS: 1.797710509699273e+00
 	 Inls  circ.  RMS: 1.797710509699275e+00
 	 Icomp  nls   RMS: 1.797710509699278e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.908305401167073e-01
 	 Icomp polyg.: 5.908305401167037e-01
 	 Ifull vap   : 5.908315557970633e-01
 	 Icomp vap   : 5.908315557970631e-01
 	 Ifull c.nsl.: 5.908315557970611e-01
 	 Icomp c.nsl.: 5.908315557970619e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.015680355931359e-06
 	 Icomp polyg.: 1.015680359595095e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.719069243959307e-06
 	 Icomp polyg.: 1.719069250160289e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.749935501617369e+00
 	 Icomp polyg. RMS: 1.749935501617366e+00
 	 Ivap. circ.  RMS: 1.749937301932838e+00
 	 Icomp. vap   RMS: 1.749937301932834e+00
 	 Inls  circ.  RMS: 1.749937301932836e+00
 	 Icomp  nls   RMS: 1.749937301932840e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.275429051212468e-01
 	 Icomp polyg.: 5.275429051212430e-01
 	 Ifull vap   : 5.275437062532684e-01
 	 Icomp vap   : 5.275437062532707e-01
 	 Ifull c.nsl.: 5.275437062532662e-01
 	 Icomp c.nsl.: 5.275437062532666e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.011320216105844e-07
 	 Icomp polyg.: 8.011320253853427e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.518607865309209e-06
 	 Icomp polyg.: 1.518607872464556e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.687014273885483e+00
 	 Icomp polyg. RMS: 1.687014273885478e+00
 	 Ivap. circ.  RMS: 1.687016284120047e+00
 	 Icomp. vap   RMS: 1.687016284120046e+00
 	 Inls  circ.  RMS: 1.687016284120045e+00
 	 Icomp  nls   RMS: 1.687016284120043e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.135593292403640e+00
 	 Icomp polyg.: 1.135593292403637e+00
 	 Ifull vap   : 1.135595410602700e+00
 	 Icomp vap   : 1.135595410602701e+00
 	 Ifull c.nsl.: 1.135595410602698e+00
 	 Icomp c.nsl.: 1.135595410602698e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.118199059042425e-06
 	 Icomp polyg.: 2.118199062817183e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.865276170778309e-06
 	 Icomp polyg.: 1.865276174102344e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.051078365446439e+00
 	 Icomp polyg. RMS: 2.051078365446435e+00
 	 Ivap. circ.  RMS: 2.051080491309114e+00
 	 Icomp. vap   RMS: 2.051080491309112e+00
 	 Inls  circ.  RMS: 2.051080491309114e+00
 	 Icomp  nls   RMS: 2.051080491309115e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.825280080724169e-01
 	 Icomp polyg.: 5.825280080724144e-01
 	 Ifull vap   : 5.825291137660530e-01
 	 Icomp vap   : 5.825291137660550e-01
 	 Ifull c.nsl.: 5.825291137660507e-01
 	 Icomp c.nsl.: 5.825291137660513e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.105693636094252e-06
 	 Icomp polyg.: 1.105693638536742e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.898091631757146e-06
 	 Icomp polyg.: 1.898091635950053e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.703294938024265e+00
 	 Icomp polyg. RMS: 1.703294938024264e+00
 	 Ivap. circ.  RMS: 1.703297175803277e+00
 	 Icomp. vap   RMS: 1.703297175803260e+00
 	 Inls  circ.  RMS: 1.703297175803276e+00
 	 Icomp  nls   RMS: 1.703297175803282e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.008449249855189e-01
 	 Icomp polyg.: 9.008449249855137e-01
 	 Ifull vap   : 9.008461279282283e-01
 	 Icomp vap   : 9.008461279282295e-01
 	 Ifull c.nsl.: 9.008461279282260e-01
 	 Icomp c.nsl.: 9.008461279282267e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.202942709332966e-06
 	 Icomp polyg.: 1.202942714551014e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.335347593822156e-06
 	 Icomp polyg.: 1.335347599614542e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.138124592448703e+00
 	 Icomp polyg. RMS: 2.138124592448699e+00
 	 Ivap. circ.  RMS: 2.138127125410369e+00
 	 Icomp. vap   RMS: 2.138127125410362e+00
 	 Inls  circ.  RMS: 2.138127125410368e+00
 	 Icomp  nls   RMS: 2.138127125410372e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  5000
 	 lens sides  :    9951
 
 	 ** Cardinalities
 	 polyg. lens full:  238776
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.022743836000000e+00
 	 FULL RULE     : 1.402663113500000e+01
 	 COMP RULE     : 2.353522327000000e+00
 
 	 ** Errors
 	 BETTER ABS.ERR. : 3.135000009590883e-07
 	 WORST ABS.ERR.  : 2.118199059042425e-06
 	 BETTER REL.ERR. : 5.108159192948524e-07
 	 WORST REL.ERR.  : 2.029043430504775e-06
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.808686557505214e+00
 	 Icomp polyg. RMS: 1.808686557505211e+00
 	 Ivap. circ.  RMS: 1.808688613753904e+00
 	 Icomp. vap   RMS: 1.808688613753897e+00
 	 Inls  circ.  RMS: 1.808688613753903e+00
 	 Icomp  nls   RMS: 1.808688613753906e+00
 

 	 .................... EXAMPLE:   0 .......... 
{Operation terminated by user during
<a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike>zernfun', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 212)" style="font-weight:bold">vandermonde_zernike>zernfun</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',212,0)">line 212</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 28)" style="font-weight:bold">vandermonde_zernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',28,0)">line 28</a>)
        fx=zernfun(n,j,rz,thz,'norm');

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_III>compute_integrals', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m', 264)" style="font-weight:bold">demo_optics_III>compute_integrals</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m',264,0)">line 264</a>)
V=vandermonde_zernike(xy,deg);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_III', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m', 147)" style="font-weight:bold">demo_optics_III</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_III.m',147,0)">line 147</a>)
    [Ifull,Ifull2]=compute_integrals(ade_poly,coeffs,xyw(:,1:2),xyw(:,3));} 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 6.170999500000000e-02
 	 FULL RULE     : 1.454144000000000e-02
 	 COMP RULE     : 1.344589280000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 6.336914282198403e-04
 	 WORST ABS.ERR.  : 4.355691420579455e-03
 	 BETTER REL.ERR. : 1.297612503242950e-03
 	 WORST REL.ERR.  : 9.604546778667894e-03
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.741896125589388e+00
 	 Icomp polyg. RMS: 1.741896125589387e+00
 	 Ivap. circ.  RMS: 1.746573919510610e+00
 	 Icomp. vap   RMS: 1.746573919510607e+00
 	 Inls  circ.  RMS: 1.746573919510608e+00
 	 Icomp  nls   RMS: 1.746573919510608e+00
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 7.737990300000000e-02
 	 FULL RULE     : 1.891429400000000e-02
 	 COMP RULE     : 1.387669410000000e-01
 
 	 ** Errors
 	 BETTER ABS.ERR. : 6.668037818039485e-04
 	 WORST ABS.ERR.  : 3.675530263029136e-03
 	 BETTER REL.ERR. : 2.368860841875222e-03
 	 WORST REL.ERR.  : 1.666500148947574e-02
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.727646442510839e+00
 	 Icomp polyg. RMS: 1.727646442510839e+00
 	 Ivap. circ.  RMS: 1.732518950483383e+00
 	 Icomp. vap   RMS: 1.732518950483376e+00
 	 Inls  circ.  RMS: 1.732518950483382e+00
 	 Icomp  nls   RMS: 1.732518950483382e+00
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.635871200000000e-02
 	 FULL RULE     : 1.195341900000000e-02
 	 COMP RULE     : 1.086883640000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.698697192449755e-04
 	 WORST ABS.ERR.  : 5.383906543108941e-03
 	 BETTER REL.ERR. : 1.148709223834895e-03
 	 WORST REL.ERR.  : 5.122277688319940e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.797097693093143e+00
 	 Icomp polyg. RMS: 1.797097693093142e+00
 	 Ivap. circ.  RMS: 1.802245507471748e+00
 	 Icomp. vap   RMS: 1.802245507471743e+00
 	 Inls  circ.  RMS: 1.802245507471747e+00
 	 Icomp  nls   RMS: 1.802245507471750e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 4.156077650832257e-03
 	 WORST ABS.ERR.  : 6.411485546638840e-03
 	 BETTER REL.ERR. : 2.626010367899372e-03
 	 WORST REL.ERR.  : 6.411485546638840e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 4.156077650830703e-03
 	 WORST ABS.ERR.  : 6.411485546642837e-03
 	 BETTER REL.ERR. : 2.626010367898390e-03
 	 WORST REL.ERR.  : 6.411485546638840e-03
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    4848
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.686230600000000e-02
 	 FULL RULE     : 1.364108700000000e-02
 	 COMP RULE     : 1.329150470000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 1.150215700548296e-03
 	 WORST ABS.ERR.  : 4.781497830790626e-03
 	 BETTER REL.ERR. : 1.305653117250974e-03
 	 WORST REL.ERR.  : 7.496217264575693e-02
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.777825900271851e+00
 	 Icomp polyg. RMS: 1.777825900271851e+00
 	 Ivap. circ.  RMS: 1.782810190921949e+00
 	 Icomp. vap   RMS: 1.782810190921944e+00
 	 Inls  circ.  RMS: 1.782810190921948e+00
 	 Icomp  nls   RMS: 1.782810190921951e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.391440880879726e-03
 	 WORST ABS.ERR.  : 6.443039874727052e-03
 	 BETTER REL.ERR. : 2.920418708837312e-03
 	 WORST REL.ERR.  : 6.443039874727052e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.391440880879504e-03
 	 WORST ABS.ERR.  : 6.443039874727052e-03
 	 BETTER REL.ERR. : 2.920418708837060e-03
 	 WORST REL.ERR.  : 6.443039874727052e-03
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  1000
 	 lens sides  :    1995
 
 	 ** Cardinalities
 	 polyg. lens full:   47832
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 8.896385499999999e-02
 	 FULL RULE     : 3.981693380000000e-01
 	 COMP RULE     : 3.874596330000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 2.689906595021441e-06
 	 WORST ABS.ERR.  : 5.169206215438482e-05
 	 BETTER REL.ERR. : 1.111306439629374e-05
 	 WORST REL.ERR.  : 7.020472586364011e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.801230822987274e+00
 	 Icomp polyg. RMS: 1.801230822987270e+00
 	 Ivap. circ.  RMS: 1.801280743275871e+00
 	 Icomp. vap   RMS: 1.801280743275866e+00
 	 Inls  circ.  RMS: 1.801280743275870e+00
 	 Icomp  nls   RMS: 1.801280743275871e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.162687356472738e-05
 	 WORST ABS.ERR.  : 7.139411085699265e-05
 	 BETTER REL.ERR. : 2.451840857851066e-05
 	 WORST REL.ERR.  : 7.139411085699265e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.162687356628169e-05
 	 WORST ABS.ERR.  : 7.139411086187764e-05
 	 BETTER REL.ERR. : 2.451840858032637e-05
 	 WORST REL.ERR.  : 7.139411085699265e-05
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  2000
 	 lens sides  :    3984
 
 	 ** Cardinalities
 	 polyg. lens full:   95568
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.257048710000000e-01
 	 FULL RULE     : 1.803570710000000e+00
 	 COMP RULE     : 9.630416910000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.544330203335115e-07
 	 WORST ABS.ERR.  : 1.273703915094515e-05
 	 BETTER REL.ERR. : 2.044447660973887e-06
 	 WORST REL.ERR.  : 1.779573288869169e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.751998095525891e+00
 	 Icomp polyg. RMS: 1.751998095525894e+00
 	 Ivap. circ.  RMS: 1.752010188827700e+00
 	 Icomp. vap   RMS: 1.752010188827694e+00
 	 Inls  circ.  RMS: 1.752010188827699e+00
 	 Icomp  nls   RMS: 1.752010188827701e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 8.029194396685924e-06
 	 WORST ABS.ERR.  : 1.656086456591765e-05
 	 BETTER REL.ERR. : 7.405933860114405e-06
 	 WORST REL.ERR.  : 1.656086456591765e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 8.029194395131611e-06
 	 WORST ABS.ERR.  : 1.656086456414130e-05
 	 BETTER REL.ERR. : 7.405933859274763e-06
 	 WORST REL.ERR.  : 1.656086456591765e-05
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  4000
 	 lens sides  :    7961
 
 	 ** Cardinalities
 	 polyg. lens full:  191016
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 8.419133170000000e-01
 	 FULL RULE     : 8.225140594999999e+00
 	 COMP RULE     : 1.875124676000000e+00
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 2.326163641708234e-07
 	 WORST ABS.ERR.  : 3.052953679083537e-06
 	 BETTER REL.ERR. : 5.545424974077202e-07
 	 WORST REL.ERR.  : 1.364435814900708e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.748085127622038e+00
 	 Icomp polyg. RMS: 1.748085127622027e+00
 	 Ivap. circ.  RMS: 1.748088104592078e+00
 	 Icomp. vap   RMS: 1.748088104592074e+00
 	 Inls  circ.  RMS: 1.748088104592077e+00
 	 Icomp  nls   RMS: 1.748088104592079e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 2.076738550016444e-06
 	 WORST ABS.ERR.  : 4.211538155329819e-06
 	 BETTER REL.ERR. : 1.768016428836133e-06
 	 WORST REL.ERR.  : 4.211538155329819e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 2.076738560008451e-06
 	 WORST ABS.ERR.  : 4.211538168208406e-06
 	 BETTER REL.ERR. : 1.768016435214197e-06
 	 WORST REL.ERR.  : 4.211538155329819e-06
 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  8000
 	 lens sides  :   15917
 
 	 ** Cardinalities
 	 polyg. lens full:  381960
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.181440158000000e+00
 	 FULL RULE     : 3.736565091100000e+01
 	 COMP RULE     : 3.810243134000000e+00
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.775115890007456e-08
 	 WORST ABS.ERR.  : 7.717967334119891e-07
 	 BETTER REL.ERR. : 1.861633989592129e-07
 	 WORST REL.ERR.  : 9.210006188688427e-06
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.785803866185086e+00
 	 Icomp polyg. RMS: 1.785803866185097e+00
 	 Ivap. circ.  RMS: 1.785804648578281e+00
 	 Icomp. vap   RMS: 1.785804648578274e+00
 	 Inls  circ.  RMS: 1.785804648578280e+00
 	 Icomp  nls   RMS: 1.785804648578281e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 4.718800608038975e-07
 	 WORST ABS.ERR.  : 1.093877605384819e-06
 	 BETTER REL.ERR. : 4.175333383721936e-07
 	 WORST REL.ERR.  : 1.093877605384819e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 4.718800530323364e-07
 	 WORST ABS.ERR.  : 1.093877590729875e-06
 	 BETTER REL.ERR. : 4.175333318979026e-07
 	 WORST REL.ERR.  : 1.093877605384819e-06
 



demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 
{Operation terminated by user during
<a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike>zernfun', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 225)" style="font-weight:bold">vandermonde_zernike>zernfun</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',225,0)">line 225</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 28)" style="font-weight:bold">vandermonde_zernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',28,0)">line 28</a>)
        fx=zernfun(n,j,rz,thz,'norm');

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>compute_integrals', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 317)" style="font-weight:bold">demo_optics_IIIa>compute_integrals</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',317,0)">line 317</a>)
V=vandermonde_zernike(xy,deg);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 178)" style="font-weight:bold">demo_optics_IIIa>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',178,0)">line 178</a>)
    [Idiskc_nsl,Idiskc_nsl2]=compute_integrals(ade_poly,coeffs,xywc_nsl(:,1:2),xywc_nsl(:,3));

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 91)" style="font-weight:bold">demo_optics_IIIa</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',91,0)">line 91</a>)
    demo_optics_III_slave(example,ade,Ntest,Nsides_factor);
} 
help mean
 <strong>mean</strong>   Average or mean value.
    S = <strong>mean</strong>(X) is the mean value of the elements in X if X is a vector. 
    For matrices, S is a row vector containing the mean value of each 
    column. 
    For N-D arrays, S is the mean value of the elements along the first 
    array dimension whose size does not equal 1.
 
    <strong>mean</strong>(X,'all') is the mean of all elements in X.
 
    <strong>mean</strong>(X,DIM) takes the mean along the dimension DIM of X.
 
    <strong>mean</strong>(X,VECDIM) operates on the dimensions specified in the vector 
    VECDIM. For example, <strong>mean</strong>(X,[1 2]) operates on the elements contained
    in the first and second dimensions of X.
 
    S = <strong>mean</strong>(...,TYPE) specifies the type in which the mean is performed, 
    and the type of S. Available options are:
 
    'double'    -  S has class double for any input X
    'native'    -  S has the same class as X
    'default'   -  If X is floating point, that is double or single,
                   S has the same class as X. If X is not floating point, 
                   S has class double.
 
    S = <strong>mean</strong>(...,NANFLAG) specifies how NaN (Not-A-Number) values are 
    treated. The default is 'includenan':
 
    'includenan' - the mean of a vector containing NaN values is also NaN.
    'omitnan'    - the mean of a vector containing NaN values is the mean 
                   of all its non-NaN elements. If all elements are NaN,
                   the result is NaN.
 
    Example:
        X = [1 2 3; 3 3 6; 4 6 8; 4 7 7]
        mean(X,1)
        mean(X,2)
 
    Class support for input X:
       float: double, single
       integer: uint8, int8, uint16, int16, uint32,
                int32, uint64, int64
 
    See also <a href="matlab:help median">median</a>, <a href="matlab:help std">std</a>, <a href="matlab:help min">min</a>, <a href="matlab:help max">max</a>, <a href="matlab:help var">var</a>, <a href="matlab:help cov">cov</a>, <a href="matlab:help mode">mode</a>.

    <a href="matlab:doc mean">Reference page for mean</a>
    <a href="matlab:matlab.internal.language.introspective.overloads.displayOverloads('mean')">Other functions named mean</a>

mean(2 4 6 8)
 mean(2 4 6 8)
        
{Error: Invalid expression. Check for missing multiplication
operator, missing or unbalanced delimiters, or other syntax
error. To construct matrices, use brackets instead of
parentheses.
} 
mean([2 4 6 8])

ans =

     5

demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 
{Operation terminated by user during
<a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike>@(p)r.^p', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 191)" style="font-weight:bold">vandermonde_zernike>@(p)r.^p</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',191,0)">line 191</a>)


In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike>zernfun', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 191)" style="font-weight:bold">vandermonde_zernike>zernfun</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',191,0)">line 191</a>)
    rpowern =
    arrayfun(@(p)r.^p,rpowers,'UniformOutput',false);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('vandermonde_zernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m', 28)" style="font-weight:bold">vandermonde_zernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/vandermonde_zernike.m',28,0)">line 28</a>)
        fx=zernfun(n,j,rz,thz,'norm');

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>compute_integrals', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 321)" style="font-weight:bold">demo_optics_IIIa>compute_integrals</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',321,0)">line 321</a>)
V=vandermonde_zernike(xy,deg);

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 173)" style="font-weight:bold">demo_optics_IIIa>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',173,0)">line 173</a>)
    [Ifull,Ifull2]=compute_integrals(ade_poly,coeffs,xyw(:,1:2),xyw(:,3));

In <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 91)" style="font-weight:bold">demo_optics_IIIa</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',91,0)">line 91</a>)
    demo_optics_III_slave(example,ade,Ntest,Nsides_factor);
} 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1000
 	 lens sides  :    1995
 
 	 ** Cardinalities
 	 polyg. lens full:   31888
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 8.896053000000000e-02
 	 FULL RULE     : 2.317006700000000e-01
 	 COMP RULE     : 1.886073990000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.685634584750131e-06
 	 WORST ABS.ERR.  : 5.320587008816879e-05
 	 BETTER REL.ERR. : 1.259761111878581e-05
 	 WORST REL.ERR.  : 8.523992669197579e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.465980375094229e+00
 	 Icomp polyg. RMS: 1.465980375094231e+00
 	 Ivap. circ.  RMS: 1.466009641916790e+00
 	 Icomp. vap   RMS: 1.466009641916791e+00
 	 Inls  circ.  RMS: 1.466009641916790e+00
 	 Icomp  nls   RMS: 1.466009641916790e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.758842663934779e-05
 	 WORST ABS.ERR.  : 4.304954395428773e-05
 	 AVER. ABS.ERR.  : 2.926682256199742e-05
 	 BETTER REL.ERR. : 1.758842663934779e-05
 	 WORST REL.ERR.  : 4.304954395428773e-05
 	 AVER. REL.ERR.  : 2.918275538413495e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.758842663801552e-05
 	 WORST ABS.ERR.  : 4.304954395095706e-05
 	 AVER. ABS.ERR.  : 2.926682255959934e-05
 	 BETTER REL.ERR. : 1.758842663934779e-05
 	 WORST REL.ERR.  : 4.304954395428773e-05
 	 AVER. REL.ERR.  : 2.918275538411410e-05
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  2000
 	 lens sides  :    3984
 
 	 ** Cardinalities
 	 polyg. lens full:   63712
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.105982490000000e-01
 	 FULL RULE     : 9.312962670000000e-01
 	 COMP RULE     : 3.738073160000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 1.168563996789551e-06
 	 WORST ABS.ERR.  : 1.419589866946680e-05
 	 BETTER REL.ERR. : 2.417080824171202e-06
 	 WORST REL.ERR.  : 6.569027212377142e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.459655501304057e+00
 	 Icomp polyg. RMS: 1.459655501304056e+00
 	 Ivap. circ.  RMS: 1.459662724477124e+00
 	 Icomp. vap   RMS: 1.459662724477125e+00
 	 Inls  circ.  RMS: 1.459662724477124e+00
 	 Icomp  nls   RMS: 1.459662724477123e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 4.306259959729886e-06
 	 WORST ABS.ERR.  : 1.041688291558707e-05
 	 AVER. ABS.ERR.  : 7.223173066894795e-06
 	 BETTER REL.ERR. : 4.306259959729886e-06
 	 WORST REL.ERR.  : 1.041688291558707e-05
 	 AVER. REL.ERR.  : 7.201648921140433e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 4.306259960396019e-06
 	 WORST ABS.ERR.  : 1.041688291758547e-05
 	 AVER. ABS.ERR.  : 7.223173068005018e-06
 	 BETTER REL.ERR. : 4.306259959729886e-06
 	 WORST REL.ERR.  : 1.041688291558707e-05
 	 AVER. REL.ERR.  : 7.201648921146660e-06
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  4000
 	 lens sides  :    7961
 
 	 ** Cardinalities
 	 polyg. lens full:  127344
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.067901466000000e+00
 	 FULL RULE     : 4.849495331000000e+00
 	 COMP RULE     : 8.023327390000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 3.653275369441822e-07
 	 WORST ABS.ERR.  : 3.232522405749449e-06
 	 BETTER REL.ERR. : 8.388062222070546e-07
 	 WORST REL.ERR.  : 2.574335734612553e-05
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.450065945267434e+00
 	 Icomp polyg. RMS: 1.450065945267437e+00
 	 Ivap. circ.  RMS: 1.450067764253407e+00
 	 Icomp. vap   RMS: 1.450067764253408e+00
 	 Inls  circ.  RMS: 1.450067764253407e+00
 	 Icomp  nls   RMS: 1.450067764253407e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.136343245056182e-06
 	 WORST ABS.ERR.  : 2.560610829371868e-06
 	 AVER. ABS.ERR.  : 1.818985973839338e-06
 	 BETTER REL.ERR. : 1.104022923632416e-06
 	 WORST REL.ERR.  : 2.560610829371868e-06
 	 AVER. REL.ERR.  : 1.811907131758081e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.136343243279825e-06
 	 WORST ABS.ERR.  : 2.560610825375065e-06
 	 AVER. ABS.ERR.  : 1.818985971072662e-06
 	 BETTER REL.ERR. : 1.104022921688763e-06
 	 WORST REL.ERR.  : 2.560610829371868e-06
 	 AVER. REL.ERR.  : 1.811907131738837e-06
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  8000
 	 lens sides  :   15917
 
 	 ** Cardinalities
 	 polyg. lens full:  254640
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.513008741000000e+00
 	 FULL RULE     : 2.428099247400000e+01
 	 COMP RULE     : 1.671410945000000e+00
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 1.082262904850140e-07
 	 WORST ABS.ERR.  : 8.390884860265402e-07
 	 BETTER REL.ERR. : 1.813496352713632e-07
 	 WORST REL.ERR.  : 2.644360574075929e-05
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.518876675979465e+00
 	 Icomp polyg. RMS: 1.518876675979460e+00
 	 Ivap. circ.  RMS: 1.518877151064740e+00
 	 Icomp. vap   RMS: 1.518877151064741e+00
 	 Inls  circ.  RMS: 1.518877151064740e+00
 	 Icomp  nls   RMS: 1.518877151064740e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 2.730888510882323e-07
 	 WORST ABS.ERR.  : 6.519070481214584e-07
 	 AVER. ABS.ERR.  : 4.750852748258705e-07
 	 BETTER REL.ERR. : 2.730888510882323e-07
 	 WORST REL.ERR.  : 6.519070481214584e-07
 	 AVER. REL.ERR.  : 4.735015516962075e-07
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 2.730888530866338e-07
 	 WORST ABS.ERR.  : 6.519070543387073e-07
 	 AVER. ABS.ERR.  : 4.750852795587512e-07
 	 BETTER REL.ERR. : 2.730888510882323e-07
 	 WORST REL.ERR.  : 6.519070481214584e-07
 	 AVER. REL.ERR.  : 4.735015517297359e-07
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.650484350000000e-01
 	 FULL RULE     : 3.392872250000000e-01
 	 COMP RULE     : 1.054331340000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.641448372925908e-04
 	 WORST ABS.ERR.  : 5.153701712046654e-03
 	 BETTER REL.ERR. : 1.159906557787704e-03
 	 WORST REL.ERR.  : 6.312148004644480e-01
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.458051595652332e+00
 	 Icomp polyg. RMS: 1.458051595652331e+00
 	 Ivap. circ.  RMS: 1.461050966393757e+00
 	 Icomp. vap   RMS: 1.461050966393757e+00
 	 Inls  circ.  RMS: 1.461050966393757e+00
 	 Icomp  nls   RMS: 1.461050966393757e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.532259994936669e-03
 	 WORST ABS.ERR.  : 4.038825003796376e-03
 	 AVER. ABS.ERR.  : 2.999370741424666e-03
 	 BETTER REL.ERR. : 1.532259994936669e-03
 	 WORST REL.ERR.  : 4.038825003796376e-03
 	 AVER. REL.ERR.  : 2.989545611946682e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.532259994933782e-03
 	 WORST ABS.ERR.  : 4.038825003786828e-03
 	 AVER. ABS.ERR.  : 2.999370741424332e-03
 	 BETTER REL.ERR. : 1.532259994936669e-03
 	 WORST REL.ERR.  : 4.038825003796376e-03
 	 AVER. REL.ERR.  : 2.989545611946685e-03
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.049130900000000e-02
 	 FULL RULE     : 1.861666500000000e-02
 	 COMP RULE     : 4.123763700000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 2.426419580037198e-04
 	 WORST ABS.ERR.  : 1.243487161426748e-03
 	 BETTER REL.ERR. : 3.128379426286204e-04
 	 WORST REL.ERR.  : 8.497897934626357e-02
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.493164871973859e+00
 	 Icomp polyg. RMS: 1.493164871973861e+00
 	 Ivap. circ.  RMS: 1.493907934638021e+00
 	 Icomp. vap   RMS: 1.493907934638022e+00
 	 Inls  circ.  RMS: 1.493907934638021e+00
 	 Icomp  nls   RMS: 1.493907934638021e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.921922006725476e-04
 	 WORST ABS.ERR.  : 1.020024153208121e-03
 	 AVER. ABS.ERR.  : 7.430626641613958e-04
 	 BETTER REL.ERR. : 3.921922006725476e-04
 	 WORST REL.ERR.  : 1.020024153208121e-03
 	 AVER. REL.ERR.  : 7.406475913032312e-04
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.921922006722145e-04
 	 WORST ABS.ERR.  : 1.020024153206567e-03
 	 AVER. ABS.ERR.  : 7.430626641603976e-04
 	 BETTER REL.ERR. : 3.921922006725476e-04
 	 WORST REL.ERR.  : 1.020024153208121e-03
 	 AVER. REL.ERR.  : 7.406475913032233e-04
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.704481100000000e-02
 	 FULL RULE     : 8.387483000000000e-02
 	 COMP RULE     : 1.692321840000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.902693418384896e-05
 	 WORST ABS.ERR.  : 3.385682765535414e-04
 	 BETTER REL.ERR. : 8.018020023759382e-05
 	 WORST REL.ERR.  : 3.291287907849315e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.488187228208408e+00
 	 Icomp polyg. RMS: 1.488187228208409e+00
 	 Ivap. circ.  RMS: 1.488372509131657e+00
 	 Icomp. vap   RMS: 1.488372509131657e+00
 	 Inls  circ.  RMS: 1.488372509131657e+00
 	 Icomp  nls   RMS: 1.488372509131657e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 9.057505575937874e-05
 	 WORST ABS.ERR.  : 2.488080811937632e-04
 	 AVER. ABS.ERR.  : 1.852809232481634e-04
 	 BETTER REL.ERR. : 9.057505575937874e-05
 	 WORST REL.ERR.  : 2.488080811937632e-04
 	 AVER. REL.ERR.  : 1.847894375216050e-04
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 9.057505575926772e-05
 	 WORST ABS.ERR.  : 2.488080811933191e-04
 	 AVER. ABS.ERR.  : 1.852809232478691e-04
 	 BETTER REL.ERR. : 9.057505575937874e-05
 	 WORST REL.ERR.  : 2.488080811937632e-04
 	 AVER. REL.ERR.  : 1.847894375215986e-04
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.272059300000000e-02
 	 FULL RULE     : 1.271423090000000e-01
 	 COMP RULE     : 1.316343910000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 5.238262843182406e-06
 	 WORST ABS.ERR.  : 7.853337907293145e-05
 	 BETTER REL.ERR. : 1.827745813015151e-05
 	 WORST REL.ERR.  : 1.094758407923842e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.458232931409278e+00
 	 Icomp polyg. RMS: 1.458232931409277e+00
 	 Ivap. circ.  RMS: 1.458278242778934e+00
 	 Icomp. vap   RMS: 1.458278242778935e+00
 	 Inls  circ.  RMS: 1.458278242778934e+00
 	 Icomp  nls   RMS: 1.458278242778934e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 2.786230432261227e-05
 	 WORST ABS.ERR.  : 6.058209501147438e-05
 	 AVER. ABS.ERR.  : 4.531136965643112e-05
 	 BETTER REL.ERR. : 2.786230432261227e-05
 	 WORST REL.ERR.  : 6.058209501147438e-05
 	 AVER. REL.ERR.  : 4.519817756250315e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 2.786230432283432e-05
 	 WORST ABS.ERR.  : 6.058209501191847e-05
 	 AVER. ABS.ERR.  : 4.531136965644222e-05
 	 BETTER REL.ERR. : 2.786230432261227e-05
 	 WORST REL.ERR.  : 6.058209501147438e-05
 	 AVER. REL.ERR.  : 4.519817756250151e-05
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 8.706577100000000e-02
 	 FULL RULE     : 1.510276300000000e-02
 	 COMP RULE     : 9.382038700000001e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.314960131604709e-04
 	 WORST ABS.ERR.  : 4.922282193116745e-03
 	 BETTER REL.ERR. : 1.180274071715566e-03
 	 WORST REL.ERR.  : 2.837425859608206e-01
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.460510369157924e+00
 	 Icomp polyg. RMS: 1.460510369157923e+00
 	 Ivap. circ.  RMS: 1.463481059923176e+00
 	 Icomp. vap   RMS: 1.463481059923176e+00
 	 Inls  circ.  RMS: 1.463481059923175e+00
 	 Icomp  nls   RMS: 1.463481059923175e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.700795211143191e-03
 	 WORST ABS.ERR.  : 4.241859634682044e-03
 	 AVER. ABS.ERR.  : 2.970690765252241e-03
 	 BETTER REL.ERR. : 1.700795211143191e-03
 	 WORST REL.ERR.  : 4.241859634682044e-03
 	 AVER. REL.ERR.  : 2.963514010966714e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.700795211141193e-03
 	 WORST ABS.ERR.  : 4.241859634675382e-03
 	 AVER. ABS.ERR.  : 2.970690765252888e-03
 	 BETTER REL.ERR. : 1.700795211143191e-03
 	 WORST REL.ERR.  : 4.241859634682044e-03
 	 AVER. REL.ERR.  : 2.963514010966711e-03
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 3.186035800000000e-02
 	 FULL RULE     : 7.241024000000000e-03
 	 COMP RULE     : 1.253837700000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.735672002704958e-04
 	 WORST ABS.ERR.  : 5.080379420245529e-03
 	 BETTER REL.ERR. : 9.294757812957636e-04
 	 WORST REL.ERR.  : 1.727988526483002e+00
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.452273335497186e+00
 	 Icomp polyg. RMS: 1.452273335497187e+00
 	 Ivap. circ.  RMS: 1.455189939522596e+00
 	 Icomp. vap   RMS: 1.455189939522596e+00
 	 Inls  circ.  RMS: 1.455189939522595e+00
 	 Icomp  nls   RMS: 1.455189939522595e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.803963087305016e-03
 	 WORST ABS.ERR.  : 4.032514360701844e-03
 	 AVER. ABS.ERR.  : 2.916604025407901e-03
 	 BETTER REL.ERR. : 1.803963087305016e-03
 	 WORST REL.ERR.  : 4.032514360701844e-03
 	 AVER. REL.ERR.  : 2.911792223058316e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.803963087303684e-03
 	 WORST ABS.ERR.  : 4.032514360698070e-03
 	 AVER. ABS.ERR.  : 2.916604025408274e-03
 	 BETTER REL.ERR. : 1.803963087305016e-03
 	 WORST REL.ERR.  : 4.032514360701844e-03
 	 AVER. REL.ERR.  : 2.911792223058346e-03
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.197365600000000e-01
 	 FULL RULE     : 5.719269180000000e-01
 	 COMP RULE     : 2.838990790000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.726391360510007e-06
 	 WORST ABS.ERR.  : 2.055728881034113e-05
 	 BETTER REL.ERR. : 5.208518609875277e-06
 	 WORST REL.ERR.  : 4.697664429227959e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.476717535320066e+00
 	 Icomp polyg. RMS: 1.476717535320067e+00
 	 Ivap. circ.  RMS: 1.476729049247265e+00
 	 Icomp. vap   RMS: 1.476729049247266e+00
 	 Inls  circ.  RMS: 1.476729049247265e+00
 	 Icomp  nls   RMS: 1.476729049247265e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 5.585661580376211e-06
 	 WORST ABS.ERR.  : 1.702996528796241e-05
 	 AVER. ABS.ERR.  : 1.151392719894284e-05
 	 BETTER REL.ERR. : 5.585661580376211e-06
 	 WORST REL.ERR.  : 1.702996528796241e-05
 	 AVER. REL.ERR.  : 1.147598916001889e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 5.585661580043144e-06
 	 WORST ABS.ERR.  : 1.702996528640810e-05
 	 AVER. ABS.ERR.  : 1.151392719793587e-05
 	 BETTER REL.ERR. : 5.585661580376211e-06
 	 WORST REL.ERR.  : 1.702996528796241e-05
 	 AVER. REL.ERR.  : 1.147598916001006e-05
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  3200
 	 lens sides  :    6372
 
 	 ** Cardinalities
 	 polyg. lens full:  101920
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.184844330000000e-01
 	 FULL RULE     : 2.641793633000000e+00
 	 COMP RULE     : 5.446745680000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.228327041833069e-07
 	 WORST ABS.ERR.  : 5.213685962957015e-06
 	 BETTER REL.ERR. : 1.119984561075973e-06
 	 WORST REL.ERR.  : 2.319898273287799e-04
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.451180914818841e+00
 	 Icomp polyg. RMS: 1.451180914818841e+00
 	 Ivap. circ.  RMS: 1.451183773194098e+00
 	 Icomp. vap   RMS: 1.451183773194099e+00
 	 Inls  circ.  RMS: 1.451183773194097e+00
 	 Icomp  nls   RMS: 1.451183773194097e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.308653966858309e-06
 	 WORST ABS.ERR.  : 3.941942355201178e-06
 	 AVER. ABS.ERR.  : 2.858375255478940e-06
 	 BETTER REL.ERR. : 1.308653966858309e-06
 	 WORST REL.ERR.  : 3.941942355201178e-06
 	 AVER. REL.ERR.  : 2.849336042092045e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.308653966858309e-06
 	 WORST ABS.ERR.  : 3.941942354757089e-06
 	 AVER. ABS.ERR.  : 2.858375255004875e-06
 	 BETTER REL.ERR. : 1.308653966858309e-06
 	 WORST REL.ERR.  : 3.941942355201178e-06
 	 AVER. REL.ERR.  : 2.849336042090588e-06
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  6400
 	 lens sides  :   12733
 
 	 ** Cardinalities
 	 polyg. lens full:  203696
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 3.755721040000000e+00
 	 FULL RULE     : 2.012075503100000e+01
 	 COMP RULE     : 1.619402104000000e+00
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 1.979058465995109e-07
 	 WORST ABS.ERR.  : 1.245444081421354e-06
 	 BETTER REL.ERR. : 3.357945281538057e-07
 	 WORST REL.ERR.  : 2.617333370209941e-05
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.459197987913269e+00
 	 Icomp polyg. RMS: 1.459197987913261e+00
 	 Ivap. circ.  RMS: 1.459198695639884e+00
 	 Icomp. vap   RMS: 1.459198695639885e+00
 	 Inls  circ.  RMS: 1.459198695639883e+00
 	 Icomp  nls   RMS: 1.459198695639883e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.713866379984054e-07
 	 WORST ABS.ERR.  : 1.027096454331300e-06
 	 AVER. ABS.ERR.  : 7.077266146537919e-07
 	 BETTER REL.ERR. : 3.713866379984054e-07
 	 WORST REL.ERR.  : 1.027096454331300e-06
 	 AVER. REL.ERR.  : 7.059580756311906e-07
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.713866411070299e-07
 	 WORST ABS.ERR.  : 1.027096463879218e-06
 	 AVER. ABS.ERR.  : 7.077266221722223e-07
 	 BETTER REL.ERR. : 3.713866379984054e-07
 	 WORST REL.ERR.  : 1.027096454331300e-06
 	 AVER. REL.ERR.  : 7.059580756846599e-07
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 6.193009900000000e-02
 	 FULL RULE     : 1.052337000000000e-02
 	 COMP RULE     : 1.299764900000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 7.338653060730560e-04
 	 WORST ABS.ERR.  : 5.367139132855137e-03
 	 BETTER REL.ERR. : 1.081069984430093e-03
 	 WORST REL.ERR.  : 5.474273165410259e-01
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.453239718861563e+00
 	 Icomp polyg. RMS: 1.453239718861564e+00
 	 Ivap. circ.  RMS: 1.456199411340355e+00
 	 Icomp. vap   RMS: 1.456199411340356e+00
 	 Inls  circ.  RMS: 1.456199411340355e+00
 	 Icomp  nls   RMS: 1.456199411340355e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.456102922714919e-03
 	 WORST ABS.ERR.  : 4.088355132931820e-03
 	 AVER. ABS.ERR.  : 2.959692478792400e-03
 	 BETTER REL.ERR. : 1.456102922714919e-03
 	 WORST REL.ERR.  : 4.088355132931820e-03
 	 AVER. REL.ERR.  : 2.952626303525025e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.456102922712477e-03
 	 WORST ABS.ERR.  : 4.088355132936261e-03
 	 AVER. ABS.ERR.  : 2.959692478791357e-03
 	 BETTER REL.ERR. : 1.456102922714919e-03
 	 WORST REL.ERR.  : 4.088355132931820e-03
 	 AVER. REL.ERR.  : 2.952626303525009e-03
 
{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>do_plots')" style="font-weight:bold">demo_optics_IIIa>do_plots</a>
Too many output arguments.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 299)" style="font-weight:bold">demo_optics_IIIa>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',299,0)">line 299</a>)
if do_plots == 1

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIa', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m', 92)" style="font-weight:bold">demo_optics_IIIa</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIa.m',92,0)">line 92</a>)
    demo_optics_III_slave(example,ade,Ntest,Nsides_factor);
} 
demo_optics_IIIa

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 7.032703500000000e-02
 	 FULL RULE     : 1.610632600000000e-02
 	 COMP RULE     : 2.205203500000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 5.445493812467686e-04
 	 WORST ABS.ERR.  : 5.298398787745073e-03
 	 BETTER REL.ERR. : 1.211336114340445e-03
 	 WORST REL.ERR.  : 9.591653261258527e-02
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.491363124015512e+00
 	 Icomp polyg. RMS: 1.491363124015513e+00
 	 Ivap. circ.  RMS: 1.494357313139230e+00
 	 Icomp. vap   RMS: 1.494357313139231e+00
 	 Inls  circ.  RMS: 1.494357313139230e+00
 	 Icomp  nls   RMS: 1.494357313139230e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 1.011033829873442e-03
 	 WORST ABS.ERR.  : 4.270227858393261e-03
 	 AVER. ABS.ERR.  : 2.994189123717838e-03
 	 BETTER REL.ERR. : 1.011033829873442e-03
 	 WORST REL.ERR.  : 4.270227858393261e-03
 	 AVER. REL.ERR.  : 2.982927899111192e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 1.011033829874552e-03
 	 WORST ABS.ERR.  : 4.270227858391928e-03
 	 AVER. ABS.ERR.  : 2.994189123717812e-03
 	 BETTER REL.ERR. : 1.011033829873442e-03
 	 WORST REL.ERR.  : 4.270227858393261e-03
 	 AVER. REL.ERR.  : 2.982927899111153e-03
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.519589240000000e-01
 	 FULL RULE     : 3.654085040000000e-01
 	 COMP RULE     : 2.728467060000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 1.039998473228998e-06
 	 WORST ABS.ERR.  : 2.093872784603157e-05
 	 BETTER REL.ERR. : 7.172371926835663e-06
 	 WORST REL.ERR.  : 1.203909264417774e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.466712533187151e+00
 	 Icomp polyg. RMS: 1.466712533187152e+00
 	 Ivap. circ.  RMS: 1.466723913056610e+00
 	 Icomp. vap   RMS: 1.466723913056610e+00
 	 Inls  circ.  RMS: 1.466723913056609e+00
 	 Icomp  nls   RMS: 1.466723913056609e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 6.273461860439866e-06
 	 WORST ABS.ERR.  : 1.568079920488685e-05
 	 AVER. ABS.ERR.  : 1.137986945780822e-05
 	 BETTER REL.ERR. : 6.273461860439866e-06
 	 WORST REL.ERR.  : 1.568079920488685e-05
 	 AVER. REL.ERR.  : 1.135346133005046e-05
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 6.273461860217822e-06
 	 WORST ABS.ERR.  : 1.568079920311050e-05
 	 AVER. ABS.ERR.  : 1.137986945682679e-05
 	 BETTER REL.ERR. : 6.273461860439866e-06
 	 WORST REL.ERR.  : 1.568079920488685e-05
 	 AVER. REL.ERR.  : 1.135346133004683e-05
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45{Undefined function or variable 'xywvap'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 161)" style="font-weight:bold">demo_optics_IIIcputimes>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',161,0)">line
161</a>)
fprintf('\n \t vap lens full   : %7.0f',size(xywvap(:,1),1));

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 90)" style="font-weight:bold">demo_optics_IIIcputimes</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',90,0)">line 90</a>)
    demo_optics_III_slave(example,ade,Nsides_factor);
} 
demo_optics_IIIcputimes

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 5.936934700000000e-02
 	 FULL RULE     : 8.794888000000001e-03
 	 COMP RULE     : 1.778025800000000e-02
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 1.542246000000000e-03
 	 SIMPLEX RULE   : 2.549710000000000e-04
 	 ASSEMBLING     : 8.682736000000000e-03
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.976657240000000e-01
 	 FULL RULE     : 4.679147680000000e-01
 	 COMP RULE     : 2.664431170000000e-01
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 6.744055800000000e-02
 	 SIMPLEX RULE   : 1.030980000000000e-04
 	 ASSEMBLING     : 4.678152790000000e-01
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 6.655237200000000e-02
 	 FULL RULE     : 5.194060000000000e-03
 	 COMP RULE     : 1.791646500000000e-02
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 1.676191000000000e-03
 	 SIMPLEX RULE   : 9.451800000000001e-05
 	 ASSEMBLING     : 5.079729000000000e-03
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 2.064134420000000e-01
 	 FULL RULE     : 4.576189900000000e-01
 	 COMP RULE     : 2.728451330000000e-01
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 6.711193900000000e-02
 	 SIMPLEX RULE   : 2.699610000000000e-04
 	 ASSEMBLING     : 4.570545380000000e-01
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 3.906827600000000e-02
 	 FULL RULE     : 5.254106000000000e-03
 	 COMP RULE     : 1.279476400000000e-02
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 1.932006000000000e-03
 	 SIMPLEX RULE   : 3.545200000000000e-05
 	 ASSEMBLING     : 5.171025000000000e-03
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.812606770000000e-01
 	 FULL RULE     : 4.568357320000000e-01
 	 COMP RULE     : 2.700786370000000e-01
 
 	 ** CPUtimes FULL RULE
 	 POLYSHAPE      : 6.895673400000001e-02
 	 SIMPLEX RULE   : 1.760500000000000e-05
 	 ASSEMBLING     : 4.567397830000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 
{Undefined function or variable 'zone'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polygauss_2018', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m', 229)" style="font-weight:bold">polygauss_2018</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m',229,0)">line 229</a>)
cpus(4)=sum(zone(1));

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 142)" style="font-weight:bold">demo_optics_IIIcputimes>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',142,0)">line
142</a>)
[xyw,xvc,yvc,pgon,tri,cpus]=polygauss_2018(ade,P);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 90)" style="font-weight:bold">demo_optics_IIIcputimes</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',90,0)">line 90</a>)
    demo_optics_III_slave(example,ade,Nsides_factor);
} 
demo_optics_IIIcputimes

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.946629300000000e-02
 	 FULL RULE     : 1.775010000000000e-04
 	 COMP RULE     : 1.540511000000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 4.906785000000000e-03
 	 SIMPLEX RULE   : 3.392940000000000e-04
 	 ASSEMBLING     : 3.843700000000000e-05
 	 ZONE 1.        : 2.475550000000001e-03
 	 ZONE 2.        : 7.786836999999999e-03
 	 ZONE 3,        : 1.366794000000000e-03
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.921560640000000e-01
 	 FULL RULE     : 3.288430000000000e-04
 	 COMP RULE     : 2.719235430000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 6.860370800000000e-02
 	 SIMPLEX RULE   : 1.091140000000000e-04
 	 ASSEMBLING     : 1.887660000000000e-04
 	 ZONE 1.        : 1.613887899999999e-02
 	 ZONE 2.        : 7.589115800000011e-02
 	 ZONE 3,        : 2.371348360000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.369271100000000e-02
 	 FULL RULE     : 1.335160000000000e-04
 	 COMP RULE     : 1.487365100000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 1.753312000000000e-03
 	 SIMPLEX RULE   : 8.054300000000000e-05
 	 ASSEMBLING     : 2.366900000000000e-05
 	 ZONE 1.        : 6.312880000000005e-04
 	 ZONE 2.        : 3.484934999999999e-03
 	 ZONE 3,        : 1.050342000000000e-03
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.334438800000000e-02
 	 FULL RULE     : 2.597840000000000e-04
 	 COMP RULE     : 3.391623300000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 4.523405000000000e-03
 	 SIMPLEX RULE   : 1.638560000000000e-04
 	 ASSEMBLING     : 8.969600000000000e-05
 	 ZONE 1.        : 3.230469000000004e-03
 	 ZONE 2.        : 1.652469400000000e-02
 	 ZONE 3,        : 1.050382200000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.151464100000000e-02
 	 FULL RULE     : 1.672414000000000e-03
 	 COMP RULE     : 6.308484800000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 7.278262000000000e-03
 	 SIMPLEX RULE   : 2.715540000000000e-04
 	 ASSEMBLING     : 2.271820000000000e-04
 	 ZONE 1.        : 2.710146000000001e-03
 	 ZONE 2.        : 1.426448799999998e-02
 	 ZONE 3,        : 2.072127700000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 6.119766600000000e-02
 	 FULL RULE     : 1.594540000000000e-04
 	 COMP RULE     : 1.311713160000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 2.224524500000000e-02
 	 SIMPLEX RULE   : 1.814300000000000e-05
 	 ASSEMBLING     : 6.393400000000000e-05
 	 ZONE 1.        : 5.949019999999999e-03
 	 ZONE 2.        : 3.057662999999997e-02
 	 ZONE 3,        : 9.040485300000012e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.794173910000000e-01
 	 FULL RULE     : 6.154430000000000e-04
 	 COMP RULE     : 2.713475030000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 6.593268200000001e-02
 	 SIMPLEX RULE   : 1.645700000000000e-05
 	 ASSEMBLING     : 1.454130000000000e-04
 	 ZONE 1.        : 1.405903900000001e-02
 	 ZONE 2.        : 6.870177400000002e-02
 	 ZONE 3,        : 4.094789329999999e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.767389400000000e-02
 	 FULL RULE     : 1.419206000000000e-03
 	 COMP RULE     : 1.446498500000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 1.390642000000000e-03
 	 SIMPLEX RULE   : 1.571200000000000e-05
 	 ASSEMBLING     : 1.285200000000000e-05
 	 ZONE 1.        : 8.895190000000001e-04
 	 ZONE 2.        : 4.747186000000002e-03
 	 ZONE 3,        : 1.424693000000001e-03
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.665052300000000e-02
 	 FULL RULE     : 4.733204000000000e-03
 	 COMP RULE     : 3.167827800000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 4.643388000000000e-03
 	 SIMPLEX RULE   : 6.970200000000000e-05
 	 ASSEMBLING     : 2.011400000000000e-05
 	 ZONE 1.        : 3.578754000000000e-03
 	 ZONE 2.        : 2.023676200000000e-02
 	 ZONE 3,        : 1.044058800000001e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.727976800000000e-02
 	 FULL RULE     : 8.209104000000000e-03
 	 COMP RULE     : 6.434946599999999e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 8.157740000000000e-03
 	 SIMPLEX RULE   : 1.649300000000000e-05
 	 ASSEMBLING     : 3.487100000000000e-05
 	 ZONE 1.        : 2.733709999999999e-03
 	 ZONE 2.        : 1.456526400000000e-02
 	 ZONE 3,        : 1.814079599999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 7.663445100000001e-02
 	 FULL RULE     : 1.915774800000000e-02
 	 COMP RULE     : 1.343766380000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 1.907792700000000e-02
 	 SIMPLEX RULE   : 1.615100000000000e-05
 	 ASSEMBLING     : 6.367000000000001e-05
 	 ZONE 1.        : 5.618199000000003e-03
 	 ZONE 2.        : 2.934543699999999e-02
 	 ZONE 3,        : 8.445695399999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.702273310000000e-01
 	 FULL RULE     : 6.792345699999999e-02
 	 COMP RULE     : 2.691453190000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 6.776243799999999e-02
 	 SIMPLEX RULE   : 1.691200000000000e-05
 	 ASSEMBLING     : 1.441070000000000e-04
 	 ZONE 1.        : 1.430307900000002e-02
 	 ZONE 2.        : 6.884990199999994e-02
 	 ZONE 3,        : 4.106931790000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.368394800000000e-02
 	 FULL RULE     : 1.406278000000000e-03
 	 COMP RULE     : 1.507309700000000e-02
 	 ** FULL RULE CPU : 5.509022600000000e-02{Index exceeds the number of array elements (2).

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 170)" style="font-weight:bold">demo_optics_IIIcputimes>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',170,0)">line
170</a>)
fprintf('\n \t ** COMP RULE CPU : %1.15e',tP+t(1)+t(3));

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 90)" style="font-weight:bold">demo_optics_IIIcputimes</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',90,0)">line 90</a>)
    demo_optics_III_slave(example,ade,Nsides_factor);
} 
demo_optics_IIIcputimes

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 6.008949700000000e-02
 	 FULL RULE     : 1.930118000000000e-03
 	 COMP RULE     : 1.365958100000000e-02
 	 ** FULL RULE CPU : 6.201961500000000e-02
 	 ** COMP RULE CPU : 7.567919600000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 1.891287000000000e-03
 	 SIMPLEX RULE   : 2.726700000000000e-05
 	 ASSEMBLING     : 1.156400000000000e-05
 	 ZONE 1.        : 7.213970000000001e-04
 	 ZONE 2.        : 4.094246000000000e-03
 	 ZONE 3,        : 1.178336000000001e-03
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.049905300000000e-02
 	 FULL RULE     : 4.069372999999999e-03
 	 COMP RULE     : 4.062877000000000e-02
 	 ** FULL RULE CPU : 4.456842600000000e-02
 	 ** COMP RULE CPU : 8.519719600000000e-02
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 4.020101000000000e-03
 	 SIMPLEX RULE   : 2.929800000000000e-05
 	 ASSEMBLING     : 1.997400000000000e-05
 	 ZONE 1.        : 3.990337000000001e-03
 	 ZONE 2.        : 2.312188300000000e-02
 	 ZONE 3,        : 1.565133800000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.538664200000000e-02
 	 FULL RULE     : 6.488341000000001e-03
 	 COMP RULE     : 6.712476200000000e-02
 	 ** FULL RULE CPU : 6.187498300000000e-02
 	 ** COMP RULE CPU : 1.289997450000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 6.436416000000000e-03
 	 SIMPLEX RULE   : 1.725600000000000e-05
 	 ASSEMBLING     : 3.466900000000000e-05
 	 ZONE 1.        : 2.741923999999998e-03
 	 ZONE 2.        : 1.489583100000000e-02
 	 ZONE 3,        : 1.497982400000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 7.451766100000000e-02
 	 FULL RULE     : 2.046627000000000e-02
 	 COMP RULE     : 1.384353420000000e-01
 	 ** FULL RULE CPU : 9.498393099999999e-02
 	 ** COMP RULE CPU : 2.334192730000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 2.038388300000000e-02
 	 SIMPLEX RULE   : 1.874800000000000e-05
 	 ASSEMBLING     : 6.363900000000001e-05
 	 ZONE 1.        : 6.121136000000010e-03
 	 ZONE 2.        : 3.135943199999999e-02
 	 ZONE 3,        : 8.171227599999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.736244900000000e-01
 	 FULL RULE     : 6.964343700000002e-02
 	 COMP RULE     : 2.792834190000000e-01
 	 ** FULL RULE CPU : 2.432679270000000e-01
 	 ** COMP RULE CPU : 5.225513460000000e-01
 
 	 ** CPUtimes FULL RULE
 	 TRIANGUL.      : 6.948004200000001e-02
 	 SIMPLEX RULE   : 1.794300000000000e-05
 	 ASSEMBLING     : 1.454520000000000e-04
 	 ZONE 1.        : 1.578369100000001e-02
 	 ZONE 2.        : 7.720890700000015e-02
 	 ZONE 3,        : 4.339670779999999e-01
 
 
 	 .................... EXAMPLE:   0 .......... 
{Undefined function or variable 'zone2'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('polygauss_2018', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m', 209)" style="font-weight:bold">polygauss_2018</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/polygauss_2018.m',209,0)">line 209</a>)
    zone2=[zone2; toc];

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 142)" style="font-weight:bold">demo_optics_IIIcputimes>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',142,0)">line
142</a>)
[xyw,xvc,yvc,pgon,tri]=polygauss_2018(ade,P);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 90)" style="font-weight:bold">demo_optics_IIIcputimes</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',90,0)">line 90</a>)
    demo_optics_III_slave(example,ade,Nsides_factor);
} 
demo_optics_IIIcputimes

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.877118200000000e-02
 	 FULL RULE     : 1.324029800000000e-02
 	 COMP RULE     : 1.270328900000000e-02
 	 ** FULL RULE CPU : 6.201148000000000e-02
 	 ** COMP RULE CPU : 7.471476900000000e-02
 
 	 ** CPUtimes FULL RULE{Undefined function or variable 'cpus'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 173)" style="font-weight:bold">demo_optics_IIIcputimes>demo_optics_III_slave</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',173,0)">line
173</a>)
fprintf('\n \t TRIANGUL.      : %1.15e',cpus(1));

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 90)" style="font-weight:bold">demo_optics_IIIcputimes</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m',90,0)">line 90</a>)
    demo_optics_III_slave(example,ade,Nsides_factor);
} 
matlab.internal.language.introspective.errorDocCallback('demo_optics_IIIcputimes>demo_optics_III_slave', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_optics_IIIcputimes.m', 173)
demo_optics_IIIcputimes

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.182656800000000e-02
 	 FULL RULE     : 1.058280700000000e-02
 	 COMP RULE     : 1.307458000000000e-02
 	 ** FULL RULE CPU : 6.240937500000000e-02
 	 ** COMP RULE CPU : 7.548395500000001e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.291072100000000e-02
 	 FULL RULE     : 4.045539800000000e-02
 	 COMP RULE     : 4.008391100000000e-02
 	 ** FULL RULE CPU : 8.336611899999999e-02
 	 ** COMP RULE CPU : 1.234500300000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.991507400000000e-02
 	 FULL RULE     : 4.798025700000000e-02
 	 COMP RULE     : 8.129688700000000e-02
 	 ** FULL RULE CPU : 9.789533100000000e-02
 	 ** COMP RULE CPU : 1.791922180000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 7.351229900000000e-02
 	 FULL RULE     : 1.320646020000000e-01
 	 COMP RULE     : 1.338867040000000e-01
 	 ** FULL RULE CPU : 2.055769010000000e-01
 	 ** COMP RULE CPU : 3.394636050000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.718959500000000e-01
 	 FULL RULE     : 5.730637250000000e-01
 	 COMP RULE     : 2.724110560000000e-01
 	 ** FULL RULE CPU : 7.449596750000000e-01
 	 ** COMP RULE CPU : 1.017370731000000e+00
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 6.539381599999999e-02
 	 FULL RULE     : 8.081786000000001e-03
 	 COMP RULE     : 1.866283300000000e-02
 	 ** FULL RULE CPU : 7.347560200000000e-02
 	 ** COMP RULE CPU : 9.213843500000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.057460000000000e-02
 	 FULL RULE     : 1.558473900000000e-02
 	 COMP RULE     : 4.896455900000000e-02
 	 ** FULL RULE CPU : 4.615933900000000e-02
 	 ** COMP RULE CPU : 9.512389800000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.520143600000000e-02
 	 FULL RULE     : 1.311057600000000e-02
 	 COMP RULE     : 1.373067700000000e-02
 	 ** FULL RULE CPU : 5.831201200000000e-02
 	 ** COMP RULE CPU : 7.204268899999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.744936100000000e-02
 	 FULL RULE     : 2.150765000000000e-02
 	 COMP RULE     : 3.255935100000000e-02
 	 ** FULL RULE CPU : 5.895701100000000e-02
 	 ** COMP RULE CPU : 9.151636200000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.915619000000000e-02
 	 FULL RULE     : 1.665676100000000e-02
 	 COMP RULE     : 2.845741100000000e-02
 	 ** FULL RULE CPU : 5.581295100000000e-02
 	 ** COMP RULE CPU : 8.427036200000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.984255500000000e-02
 	 FULL RULE     : 5.162685300000000e-02
 	 COMP RULE     : 8.444370700000001e-02
 	 ** FULL RULE CPU : 9.146940800000000e-02
 	 ** COMP RULE CPU : 1.759131150000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 7.977575000000001e-02
 	 FULL RULE     : 1.339645890000000e-01
 	 COMP RULE     : 1.333707310000000e-01
 	 ** FULL RULE CPU : 2.137403390000000e-01
 	 ** COMP RULE CPU : 3.471110700000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.635796480000000e-01
 	 FULL RULE     : 5.671781980000000e-01
 	 COMP RULE     : 2.758561970000000e-01
 	 ** FULL RULE CPU : 7.307578460000000e-01
 	 ** COMP RULE CPU : 1.006614043000000e+00
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.905088200000000e-02
 	 FULL RULE     : 8.327279000000000e-03
 	 COMP RULE     : 1.734845700000000e-02
 	 ** FULL RULE CPU : 5.737816100000000e-02
 	 ** COMP RULE CPU : 7.472661799999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 2.368259000000000e-02
 	 FULL RULE     : 1.569741200000000e-02
 	 COMP RULE     : 2.229048300000000e-02
 	 ** FULL RULE CPU : 3.938000200000000e-02
 	 ** COMP RULE CPU : 6.167048500000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 2.729153600000000e-02
 	 FULL RULE     : 1.744818000000000e-02
 	 COMP RULE     : 2.516175900000000e-02
 	 ** FULL RULE CPU : 4.473971600000000e-02
 	 ** COMP RULE CPU : 6.990147499999999e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.845320900000000e-02
 	 FULL RULE     : 4.986489800000000e-02
 	 COMP RULE     : 5.984756500000000e-02
 	 ** FULL RULE CPU : 8.831810700000001e-02
 	 ** COMP RULE CPU : 1.481656720000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 5.934167700000000e-02
 	 FULL RULE     : 1.401522610000000e-01
 	 COMP RULE     : 1.420897960000000e-01
 	 ** FULL RULE CPU : 1.994939380000000e-01
 	 ** COMP RULE CPU : 3.415837340000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.587724280000000e-01
 	 FULL RULE     : 5.577868310000000e-01
 	 COMP RULE     : 2.720694130000000e-01
 	 ** FULL RULE CPU : 7.165592590000001e-01
 	 ** COMP RULE CPU : 9.886286720000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.505518600000000e-02
 	 FULL RULE     : 1.167287100000000e-02
 	 COMP RULE     : 1.639707400000000e-02
 	 ** FULL RULE CPU : 5.672805700000000e-02
 	 ** COMP RULE CPU : 7.312513100000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 2.076186200000000e-02
 	 FULL RULE     : 1.452993700000000e-02
 	 COMP RULE     : 3.843528800000000e-02
 	 ** FULL RULE CPU : 3.529179900000000e-02
 	 ** COMP RULE CPU : 7.372708700000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 2.712158800000000e-02
 	 FULL RULE     : 2.315343800000000e-02
 	 COMP RULE     : 2.889589800000000e-02
 	 ** FULL RULE CPU : 5.027502600000000e-02
 	 ** COMP RULE CPU : 7.917092400000000e-02
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.761168100000000e-02
 	 FULL RULE     : 4.969731000000000e-02
 	 COMP RULE     : 6.113425000000000e-02
 	 ** FULL RULE CPU : 9.730899100000001e-02
 	 ** COMP RULE CPU : 1.584432410000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 6.073472600000000e-02
 	 FULL RULE     : 1.464424940000000e-01
 	 COMP RULE     : 1.361575620000000e-01
 	 ** FULL RULE CPU : 2.071772200000000e-01
 	 ** COMP RULE CPU : 3.433347820000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.588130830000000e-01
 	 FULL RULE     : 5.848062380000000e-01
 	 COMP RULE     : 2.664418240000000e-01
 	 ** FULL RULE CPU : 7.436193209999999e-01
 	 ** COMP RULE CPU : 1.010061145000000e+00
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.100000000000136e-01
 	 FULL RULE     : 9.999999999990905e-03
 	 COMP RULE     : 2.999999999997272e-02
 	 ** FULL RULE CPU : 1.200000000000045e-01
 	 ** COMP RULE CPU : 1.499999999999773e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 9.000000000003183e-02
 	 FULL RULE     : 9.000000000003183e-02
 	 COMP RULE     : 2.400000000000091e-01
 	 ** FULL RULE CPU : 1.800000000000637e-01
 	 ** COMP RULE CPU : 4.200000000000728e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.100000000000136e-01
 	 FULL RULE     : 1.999999999998181e-02
 	 COMP RULE     : 5.000000000006821e-02
 	 ** FULL RULE CPU : 1.299999999999955e-01
 	 ** COMP RULE CPU : 1.800000000000637e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 7.999999999992724e-02
 	 FULL RULE     : 4.000000000007731e-02
 	 COMP RULE     : 1.299999999999955e-01
 	 ** FULL RULE CPU : 1.200000000000045e-01
 	 ** COMP RULE CPU : 2.500000000000000e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.100000000000136e-01
 	 FULL RULE     : 1.299999999999955e-01
 	 COMP RULE     : 2.500000000000000e-01
 	 ** FULL RULE CPU : 2.400000000000091e-01
 	 ** COMP RULE CPU : 4.900000000000091e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.800000000000637e-01
 	 FULL RULE     : 5.999999999999091e-01
 	 COMP RULE     : 4.900000000000091e-01
 	 ** FULL RULE CPU : 7.799999999999727e-01
 	 ** COMP RULE CPU : 1.269999999999982e+00
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.000000000000227e-01
 	 FULL RULE     : 9.999999999990905e-03
 	 COMP RULE     : 1.999999999998181e-02
 	 ** FULL RULE CPU : 1.100000000000136e-01
 	 ** COMP RULE CPU : 1.299999999999955e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 8.000000000004093e-02
 	 FULL RULE     : 3.999999999996362e-02
 	 COMP RULE     : 1.000000000000227e-01
 	 ** FULL RULE CPU : 1.200000000000045e-01
 	 ** COMP RULE CPU : 2.200000000000273e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   200
 	 lens sides  :     403
 
 	 ** Cardinalities
 	 polyg. lens full:    6416
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 3.999999999996362e-02
 	 FULL RULE     : 1.999999999998181e-02
 	 COMP RULE     : 6.000000000005912e-02
 	 ** FULL RULE CPU : 5.999999999994543e-02
 	 ** COMP RULE CPU : 1.200000000000045e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   400
 	 lens sides  :     800
 
 	 ** Cardinalities
 	 polyg. lens full:   12768
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 4.999999999995453e-02
 	 FULL RULE     : 5.000000000006821e-02
 	 COMP RULE     : 1.200000000000045e-01
 	 ** FULL RULE CPU : 1.000000000000227e-01
 	 ** COMP RULE CPU : 2.200000000000273e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   800
 	 lens sides  :    1597
 
 	 ** Cardinalities
 	 polyg. lens full:   25520
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 9.000000000003183e-02
 	 FULL RULE     : 1.399999999999864e-01
 	 COMP RULE     : 2.599999999999909e-01
 	 ** FULL RULE CPU : 2.300000000000182e-01
 	 ** COMP RULE CPU : 4.900000000000091e-01
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 
 	 ** CPUtimes
 	 DEFINE DOMAIN : 1.799999999999500e-01
 	 FULL RULE     : 5.600000000000591e-01
 	 COMP RULE     : 4.900000000000091e-01
 	 ** FULL RULE CPU : 7.400000000000091e-01
 	 ** COMP RULE CPU : 1.230000000000018e+00
 
 
 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.300479460000000e-01
 	 FULL RULE     : 3.472494090000000e-01
 	 COMP RULE     : 9.066453700000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 8.508602603938265e-04
 	 WORST ABS.ERR.  : 3.324486100086066e-03
 	 BETTER REL.ERR. : 3.265495567272945e-03
 	 WORST REL.ERR.  : 7.682830614368871e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.053269880082732e+00
 	 Icomp polyg. RMS: 1.053269880082733e+00
 	 Ivap. circ.  RMS: 1.055076082884823e+00
 	 Icomp. vap   RMS: 1.055076082884823e+00
 	 Inls  circ.  RMS: 1.055076082884822e+00
 	 Icomp  nls   RMS: 1.055076082884822e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 8.167667283273117e-04
 	 WORST ABS.ERR.  : 3.233410491747302e-03
 	 AVER. ABS.ERR.  : 1.806202802090336e-03
 	 BETTER REL.ERR. : 8.167667283273117e-04
 	 WORST REL.ERR.  : 3.233410491747302e-03
 	 AVER. REL.ERR.  : 1.804347969033780e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 8.167667283267566e-04
 	 WORST ABS.ERR.  : 3.233410491745525e-03
 	 AVER. ABS.ERR.  : 1.806202802089061e-03
 	 BETTER REL.ERR. : 8.167667283273117e-04
 	 WORST REL.ERR.  : 3.233410491747302e-03
 	 AVER. REL.ERR.  : 1.804347969033769e-03
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.512654900000000e-01
 	 FULL RULE     : 6.794102270000000e-01
 	 COMP RULE     : 2.803267420000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 3.862007138921708e-06
 	 WORST ABS.ERR.  : 1.179612515089801e-05
 	 BETTER REL.ERR. : 1.118305420079069e-05
 	 WORST REL.ERR.  : 2.749985317496943e-05
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.086596930710439e+00
 	 Icomp polyg. RMS: 1.086596930710440e+00
 	 Ivap. circ.  RMS: 1.086603987645191e+00
 	 Icomp. vap   RMS: 1.086603987645191e+00
 	 Inls  circ.  RMS: 1.086603987645191e+00
 	 Icomp  nls   RMS: 1.086603987645191e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.518472742047862e-06
 	 WORST ABS.ERR.  : 1.141225605127971e-05
 	 AVER. ABS.ERR.  : 7.056934751809019e-06
 	 BETTER REL.ERR. : 3.518472742047862e-06
 	 WORST REL.ERR.  : 1.141225605127971e-05
 	 AVER. REL.ERR.  : 7.041790352626944e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.518472741270706e-06
 	 WORST ABS.ERR.  : 1.141225604994744e-05
 	 AVER. ABS.ERR.  : 7.056934750803157e-06
 	 BETTER REL.ERR. : 3.518472742047862e-06
 	 WORST REL.ERR.  : 1.141225605127971e-05
 	 AVER. REL.ERR.  : 7.041790352617510e-06
 

 	 .................... EXAMPLE:   0 .......... 

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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    0.2715
    0.2446
    0.1741
    0.1155
    0.0803


coeffs =

         0
         0
         0
    0.8327
    0.8289
    0.7910
    0.7858
    0.7598
    0.6547
    0.4923
    0.2594
    0.2146
    0.2130
    0.1314
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coeffs =

         0
         0
         0
    0.7727
    0.7441
    0.6556
    0.6045
    0.5223
    0.4904
    0.4791
    0.4429
    0.4379
    0.3974
    0.0878
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coeffs =

         0
         0
         0
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    0.5571
    0.5402
    0.3772
    0.2166
    0.1678
    0.1387
    0.1104
    0.1017
    0.0393
    0.0323
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coeffs =

         0
         0
         0
    0.9332
    0.7242
    0.6442
    0.5809
    0.5403
    0.4694
    0.4271
    0.3609
    0.2079
    0.1501
    0.0679
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coeffs =

         0
         0
         0
    0.8246
    0.8055
    0.7825
    0.7673
    0.7638
    0.7054
    0.6420
    0.2682
    0.2277
    0.1053
    0.0083
    0.0050


coeffs =

         0
         0
         0
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    0.6423
    0.5669
    0.4698
    0.3764
    0.3203
    0.2598
    0.2191
    0.2125
    0.1883
    0.1043
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coeffs =

         0
         0
         0
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    0.7322
    0.6911
    0.4891
    0.4889
    0.4852
    0.1866
    0.1454
    0.1411
    0.1125
    0.0345
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coeffs =

         0
         0
         0
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    0.6333
    0.6028
    0.5942
    0.5679
    0.5613
    0.4986
    0.4738
    0.4265
    0.2906
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coeffs =

         0
         0
         0
    0.7684
    0.6710
    0.5908
    0.5041
    0.4756
    0.3563
    0.2933
    0.2830
    0.2254
    0.1011
    0.0891
    0.0516


coeffs =

         0
         0
         0
    0.7374
    0.7062
    0.6283
    0.6183
    0.5352
    0.5099
    0.4533
    0.3830
    0.3825
    0.3313
    0.2868
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coeffs =

         0
         0
         0
    0.8398
    0.6894
    0.5721
    0.4104
    0.3498
    0.2564
    0.1932
    0.1844
    0.1202
    0.1182
    0.0505
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coeffs =

         0
         0
         0
    0.7933
    0.7538
    0.6658
    0.6227
    0.6219
    0.3735
    0.3730
    0.2313
    0.2085
    0.1663
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coeffs =

         0
         0
         0
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    0.5487
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    0.4605
    0.3941
    0.3593
    0.3417
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coeffs =

         0
         0
         0
    0.8289
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    0.7567
    0.6652
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    0.4997
    0.4390
    0.3751
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coeffs =

         0
         0
         0
    0.7657
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    0.6483
    0.6385
    0.4972
    0.4808
    0.3849
    0.2625
    0.1336
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    0.0665
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coeffs =

         0
         0
         0
    0.7660
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    0.4425
    0.3815
    0.3428
    0.3418
    0.3401
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coeffs =

         0
         0
         0
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    0.4933
    0.4530
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coeffs =

         0
         0
         0
    0.6762
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    0.3758
    0.3645
    0.2920
    0.2738
    0.2026
    0.1495
    0.1335
    0.1253
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coeffs =

         0
         0
         0
    0.7193
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    0.6013
    0.5749
    0.5053
    0.4677
    0.4353
    0.4225
    0.3212
    0.2843
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coeffs =

         0
         0
         0
    0.5341
    0.4867
    0.4648
    0.3668
    0.3639
    0.3508
    0.3360
    0.1514
    0.1496
    0.1313
    0.0651
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coeffs =

         0
         0
         0
    0.8352
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    0.6746
    0.6565
    0.6246
    0.5342
    0.4982
    0.2502
    0.1909
    0.1530
    0.1241
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coeffs =

         0
         0
         0
    0.8240
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    0.8034
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    0.4483
    0.3852
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    0.2441
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coeffs =

         0
         0
         0
    0.8176
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    0.4058
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coeffs =

         0
         0
         0
    0.9585
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    0.8348
    0.8111
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    0.5305
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coeffs =

         0
         0
         0
    0.4837
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    0.3813
    0.2838
    0.2631
    0.2451
    0.2192
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coeffs =

         0
         0
         0
    0.6665
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    0.6109
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    0.4081
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coeffs =

         0
         0
         0
    0.8070
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    0.6330
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coeffs =

         0
         0
         0
    0.7937
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coeffs =

         0
         0
         0
    0.7776
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coeffs =

         0
         0
         0
    0.3070
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coeffs =

         0
         0
         0
    0.7444
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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    0.0708


 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:   100
 	 lens sides  :     204
 
 	 ** Cardinalities
 	 polyg. lens full:    3232
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 4.035868600000000e-02
 	 FULL RULE     : 1.052272900000000e-02
 	 COMP RULE     : 2.431083500000000e-02
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 5.733277811081072e-04
 	 WORST ABS.ERR.  : 3.020034960314277e-03
 	 BETTER REL.ERR. : 3.164335383584785e-03
 	 WORST REL.ERR.  : 7.524237554045409e-03
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.077759981060579e+00
 	 Icomp polyg. RMS: 1.077759981060581e+00
 	 Ivap. circ.  RMS: 1.079593549723929e+00
 	 Icomp. vap   RMS: 1.079593549723930e+00
 	 Inls  circ.  RMS: 1.079593549723929e+00
 	 Icomp  nls   RMS: 1.079593549723929e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 5.433055354324701e-04
 	 WORST ABS.ERR.  : 2.868453065274501e-03
 	 AVER. ABS.ERR.  : 1.833568663350017e-03
 	 BETTER REL.ERR. : 5.433055354324701e-04
 	 WORST REL.ERR.  : 2.868453065274501e-03
 	 AVER. REL.ERR.  : 1.831392540721012e-03
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 5.433055354321370e-04
 	 WORST ABS.ERR.  : 2.868453065273391e-03
 	 AVER. ABS.ERR.  : 1.833568663348661e-03
 	 BETTER REL.ERR. : 5.433055354324701e-04
 	 WORST REL.ERR.  : 2.868453065274501e-03
 	 AVER. REL.ERR.  : 1.831392540720999e-03
 

 	 .................... EXAMPLE:   0 .......... 

coeffs =

         0
         0
         0
    0.8074
    0.7910
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    0.6310
    0.6054
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
    0.7864
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
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         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
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         0
    0.7054
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
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coeffs =

         0
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         0
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coeffs =

         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
         0
    0.8301
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coeffs =

         0
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coeffs =

         0
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    0.7452
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coeffs =

         0
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coeffs =

         0
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coeffs =

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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
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coeffs =

         0
         0
         0
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coeffs =

         0
         0
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coeffs =

         0
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coeffs =

         0
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 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :   8
 	 sides x poly:  1600
 	 lens sides  :    3188
 
 	 ** Cardinalities
 	 polyg. lens full:   50976
 	 polyg. lens comp:      45
 	 vap lens full   :     215
 	 vap lens comp   :      45
 	 nsl lens full:     830
 	 nsl lens comp:      45
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.792181580000000e-01
 	 FULL RULE     : 7.365189220000000e-01
 	 COMP RULE     : 4.786337640000000e-01
 
 	 ** Cubature Errors
 	 BETTER ABS.ERR. : 4.745114165316533e-06
 	 WORST ABS.ERR.  : 1.053609681134215e-05
 	 BETTER REL.ERR. : 1.204934289328699e-05
 	 WORST REL.ERR.  : 2.823245737665710e-05
 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.050082856733186e+00
 	 Icomp polyg. RMS: 1.050082856733187e+00
 	 Ivap. circ.  RMS: 1.050089644738947e+00
 	 Icomp. vap   RMS: 1.050089644738947e+00
 	 Inls  circ.  RMS: 1.050089644738947e+00
 	 Icomp  nls   RMS: 1.050089644738947e+00
 
 	 ** Sigma Errors (poly. vs circ., full version)
 	 BETTER ABS.ERR. : 3.651159330875231e-06
 	 WORST ABS.ERR.  : 9.891982383880560e-06
 	 AVER. ABS.ERR.  : 6.788005760719473e-06
 	 BETTER REL.ERR. : 3.651159330875231e-06
 	 WORST REL.ERR.  : 9.891982383880560e-06
 	 AVER. REL.ERR.  : 6.788610390784976e-06
 
 	 ** Sigma Errors (poly. vs circ., compressed version)
 	 BETTER ABS.ERR. : 3.651159330320120e-06
 	 WORST ABS.ERR.  : 9.891982382548292e-06
 	 AVER. ABS.ERR.  : 6.788005759751359e-06
 	 BETTER REL.ERR. : 3.651159330875231e-06
 	 WORST REL.ERR.  : 9.891982383880560e-06
 	 AVER. REL.ERR.  : 6.788610390775827e-06
 

 	 .................... EXAMPLE:   0 .......... 

 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.259499947641160e-01
 	 Icomp polyg.: 5.259499947641142e-01
 	 Ifull vap   : 5.259502177513511e-01
 	 Icomp vap   : 5.259502177513515e-01
 	 Ifull c.nsl.: 5.259502177513514e-01
 	 Icomp c.nsl.: 5.259502177513521e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 2.229872351211526e-07
 	 Icomp polyg.: 2.229872368975094e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 4.239702306323073e-07
 	 Icomp polyg.: 4.239702340097312e-07 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.693594361603783e+00
 	 Icomp polyg. RMS: 1.693594361603780e+00
 	 Ivap. circ.  RMS: 1.693596088668975e+00
 	 Icomp. vap   RMS: 1.693596088668970e+00
 	 Inls  circ.  RMS: 1.693596088668974e+00
 	 Icomp  nls   RMS: 1.693596088668971e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 8.887567149008513e-04
 	 Icomp polyg.: 8.887567148999631e-04
 	 Ifull vap   : 8.893718785873972e-04
 	 Icomp vap   : 8.893718785868421e-04
 	 Ifull c.nsl.: 8.893718785854508e-04
 	 Icomp c.nsl.: 8.893718785858151e-04
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.151636865459054e-07
 	 Icomp polyg.: 6.151636874340838e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.916833119605481e-04
 	 Icomp polyg.: 6.916833129592062e-04 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.000568039601777e+00
 	 Icomp polyg. RMS: 2.000568039601773e+00
 	 Ivap. circ.  RMS: 2.000570459461263e+00
 	 Icomp. vap   RMS: 2.000570459461251e+00
 	 Inls  circ.  RMS: 2.000570459461262e+00
 	 Icomp  nls   RMS: 2.000570459461269e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 5.795075328403555e-01
 	 Icomp polyg.: 5.795075328403523e-01
 	 Ifull vap   : 5.795081683306886e-01
 	 Icomp vap   : 5.795081683306905e-01
 	 Ifull c.nsl.: 5.795081683306862e-01
 	 Icomp c.nsl.: 5.795081683306862e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.354903331340367e-07
 	 Icomp polyg.: 6.354903363536835e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 1.096602891663475e-06
 	 Icomp polyg.: 1.096602897219301e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.524854832529858e+00
 	 Icomp polyg. RMS: 1.524854832529855e+00
 	 Ivap. circ.  RMS: 1.524856317737044e+00
 	 Icomp. vap   RMS: 1.524856317737039e+00
 	 Inls  circ.  RMS: 1.524856317737042e+00
 	 Icomp  nls   RMS: 1.524856317737042e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.563417786715748e-01
 	 Icomp polyg.: 1.563417786715740e-01
 	 Ifull vap   : 1.563427645861963e-01
 	 Icomp vap   : 1.563427645861969e-01
 	 Ifull c.nsl.: 1.563427645861933e-01
 	 Icomp c.nsl.: 1.563427645861938e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 9.859146214707959e-07
 	 Icomp polyg.: 9.859146223034632e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.306109682020063e-06
 	 Icomp polyg.: 6.306109687345972e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.947657890262692e+00
 	 Icomp polyg. RMS: 1.947657890262689e+00
 	 Ivap. circ.  RMS: 1.947660014409516e+00
 	 Icomp. vap   RMS: 1.947660014409504e+00
 	 Inls  circ.  RMS: 1.947660014409515e+00
 	 Icomp  nls   RMS: 1.947660014409521e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 2.611827907539997e-01
 	 Icomp polyg.: 2.611827907539958e-01
 	 Ifull vap   : 2.611834850043482e-01
 	 Icomp vap   : 2.611834850043514e-01
 	 Ifull c.nsl.: 2.611834850043472e-01
 	 Icomp c.nsl.: 2.611834850043476e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 6.942503485429796e-07
 	 Icomp polyg.: 6.942503524842714e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.658094360489223e-06
 	 Icomp polyg.: 2.658094375579349e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.649545928969735e+00
 	 Icomp polyg. RMS: 1.649545928969730e+00
 	 Ivap. circ.  RMS: 1.649547792392366e+00
 	 Icomp. vap   RMS: 1.649547792392364e+00
 	 Inls  circ.  RMS: 1.649547792392364e+00
 	 Icomp  nls   RMS: 1.649547792392358e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.392543908836296e+00
 	 Icomp polyg.: 1.392543908836293e+00
 	 Ifull vap   : 1.392544979261980e+00
 	 Icomp vap   : 1.392544979261981e+00
 	 Ifull c.nsl.: 1.392544979261977e+00
 	 Icomp c.nsl.: 1.392544979261977e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.070425683646903e-06
 	 Icomp polyg.: 1.070425686755527e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 7.686830225147963e-07
 	 Icomp polyg.: 7.686830247471296e-07 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.749565648442714e+00
 	 Icomp polyg. RMS: 1.749565648442712e+00
 	 Ivap. circ.  RMS: 1.749567522365580e+00
 	 Icomp. vap   RMS: 1.749567522365568e+00
 	 Inls  circ.  RMS: 1.749567522365578e+00
 	 Icomp  nls   RMS: 1.749567522365585e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.884027860048465e-01
 	 Icomp polyg.: 3.884027860048456e-01
 	 Ifull vap   : 3.884041448269373e-01
 	 Icomp vap   : 3.884041448269379e-01
 	 Ifull c.nsl.: 3.884041448269360e-01
 	 Icomp c.nsl.: 3.884041448269370e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.358822090791190e-06
 	 Icomp polyg.: 1.358822091734879e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.498474743096898e-06
 	 Icomp polyg.: 3.498474745526557e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 2.037662757673627e+00
 	 Icomp polyg. RMS: 2.037662757673624e+00
 	 Ivap. circ.  RMS: 2.037665101625342e+00
 	 Icomp. vap   RMS: 2.037665101625329e+00
 	 Inls  circ.  RMS: 2.037665101625341e+00
 	 Icomp  nls   RMS: 2.037665101625348e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 9.049075442148814e-01
 	 Icomp polyg.: 9.049075442148782e-01
 	 Ifull vap   : 9.049095035329893e-01
 	 Icomp vap   : 9.049095035329910e-01
 	 Ifull c.nsl.: 9.049095035329877e-01
 	 Icomp c.nsl.: 9.049095035329882e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.959318107869201e-06
 	 Icomp polyg.: 1.959318111088848e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 2.165208896822877e-06
 	 Icomp polyg.: 2.165208900380854e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.873885993363948e+00
 	 Icomp polyg. RMS: 1.873885993363945e+00
 	 Ivap. circ.  RMS: 1.873887873504300e+00
 	 Icomp. vap   RMS: 1.873887873504297e+00
 	 Inls  circ.  RMS: 1.873887873504299e+00
 	 Icomp  nls   RMS: 1.873887873504302e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 3.788784006715651e-01
 	 Icomp polyg.: 3.788784006715625e-01
 	 Ifull vap   : 3.788798168034423e-01
 	 Icomp vap   : 3.788798168034434e-01
 	 Ifull c.nsl.: 3.788798168034399e-01
 	 Icomp c.nsl.: 3.788798168034402e-01
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 1.416131877152171e-06
 	 Icomp polyg.: 1.416131879761195e-06
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 3.737680959360370e-06
 	 Icomp polyg.: 3.737680966246522e-06 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.674022836439159e+00
 	 Icomp polyg. RMS: 1.674022836439158e+00
 	 Ivap. circ.  RMS: 1.674024930330923e+00
 	 Icomp. vap   RMS: 1.674024930330906e+00
 	 Inls  circ.  RMS: 1.674024930330922e+00
 	 Icomp  nls   RMS: 1.674024930330930e+00
 
 	 -------------------------------------------------
 
 	 ** Integrals: numerical values
 	 Ifull polyg.: 1.210599658393638e+00
 	 Icomp polyg.: 1.210599658393633e+00
 	 Ifull vap   : 1.210600489169574e+00
 	 Icomp vap   : 1.210600489169575e+00
 	 Ifull c.nsl.: 1.210600489169571e+00
 	 Icomp c.nsl.: 1.210600489169572e+00
 
 	 ** Integrals: absolute errors
 	 Ifull polyg.: 8.307759356007693e-07
 	 Icomp polyg.: 8.307759409298399e-07
 
 	 ** Integrals: relative errors
 	 Ifull polyg.: 6.862511150731901e-07
 	 Icomp polyg.: 6.862511194751961e-07 
 

 
 	 ** Integrals: RMS
 	 Ifull polyg. RMS: 1.694134505774660e+00
 	 Icomp polyg. RMS: 1.694134505774658e+00
 	 Ivap. circ.  RMS: 1.694136040068626e+00
 	 Icomp. vap   RMS: 1.694136040068620e+00
 	 Inls  circ.  RMS: 1.694136040068625e+00
 	 Icomp  nls   RMS: 1.694136040068622e+00
 
 	 ********** Final summary **********
 
 	 ** Main data
 	 ade         :  10
 	 sides x poly:  5000
 	 lens sides  :    9951
 
 	 ** Cardinalities
 	 polyg. lens full:  238776
 	 polyg. lens comp:      66
 	 vap lens full   :     306
 	 vap lens comp   :      66
 	 nsl lens full:    1068
 	 nsl lens comp:      66
 
 	 ** CPUtimes
 	 TRIANGULATION : 1.656482247000000e+00
 	 FULL RULE     : 1.534440930100000e+01
 	 COMP RULE     : 3.151638667000000e+00
 
 	 ** Errors
 	 BETTER ABS.ERR. : 2.229872351211526e-07
 	 WORST ABS.ERR.  : 1.959318107869201e-06
 	 BETTER REL.ERR. : 4.239702306323073e-07
 	 WORST REL.ERR.  : 6.916833119605481e-04
 

 
 	 ** Average RMS
 	 Ifull polyg. RMS: 1.784549279466195e+00
 	 Icomp polyg. RMS: 1.784549279466192e+00
 	 Ivap. circ.  RMS: 1.784551214056393e+00
 	 Icomp. vap   RMS: 1.784551214056385e+00
 	 Inls  circ.  RMS: 1.784551214056392e+00
 	 Icomp  nls   RMS: 1.784551214056395e+00
 
V=vandermonde_zernike([1 0],3)

V =

  Columns 1 through 4

   5.6419e-01   1.1284e+00            0   1.3820e+00

  Columns 5 through 8

   9.7721e-01            0   1.5958e+00   1.5958e+00

  Columns 9 through 10

            0            0

V'

ans =

   5.6419e-01
   1.1284e+00
            0
   1.3820e+00
   9.7721e-01
            0
   1.5958e+00
   1.5958e+00
            0
            0

V=vandermonde_zernike([1 0],3);
V'

ans =

     1
     1
     0
     1
     1
     0
     1
     1
     0
     0

V=vandermonde_zernike([1 0],4); V'

ans =

     1
     1
     0
     1
     1
     0
     1
     1
     0
     0
     1
     1
     1
     0
     0

V=vandermonde_zernike([0 1],4); V'

ans =

   1.0000e+00
   6.1232e-17
   1.0000e+00
  -1.0000e+00
   1.0000e+00
   1.2246e-16
  -1.8370e-16
   6.1232e-17
   1.0000e+00
  -1.0000e+00
   1.0000e+00
  -1.0000e+00
   1.0000e+00
   1.2246e-16
  -2.4493e-16

demo_zernike

Z12 =

  <a href="matlab:helpPopup function_handle" style="font-weight:bold">function_handle</a> with value:

    @(r,theta)6*r^4-6*r^2+1

{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a>
Incorrect dimensions for matrix multiplication. Check that the
number of columns in the first matrix matches the number of rows
in the second matrix. To perform elementwise multiplication, use
'.*'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike>@(r,theta)r*cos(theta)', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 60)" style="font-weight:bold">demo_zernike>@(r,theta)r*cos(theta)</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',60,0)">line 60</a>)
Z1=@(r,theta)  r * cos(theta);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike>demozernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 75)" style="font-weight:bold">demo_zernike>demozernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',75,0)">line 75</a>)
W=[Z0(X,Y) Z1(X,Y) Z2(X,Y) Z3(X,Y) Z4(X,Y) Z5(X,Y) Z6(X,Y)
Z7(X,Y) Z8(X,Y)];

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 9)" style="font-weight:bold">demo_zernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',9,0)">line 9</a>)
V0=demozernike(pts(:,1),pts(:,2));
} 
demo_zernike

Z12 =

  <a href="matlab:helpPopup function_handle" style="font-weight:bold">function_handle</a> with value:

    @(r,theta)6*r.^4-6*r.^2+1

{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a>
Incorrect dimensions for matrix multiplication. Check that the
number of columns in the first matrix matches the number of rows
in the second matrix. To perform elementwise multiplication, use
'.*'.

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike>@(r,theta)r.^2*sin(2*theta)', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 64)" style="font-weight:bold">demo_zernike>@(r,theta)r.^2*sin(2*theta)</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',64,0)">line 64</a>)
Z5=@(r,theta) r.^2 * sin(2*theta);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike>demozernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 75)" style="font-weight:bold">demo_zernike>demozernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',75,0)">line 75</a>)
W=[Z0(X,Y) Z1(X,Y) Z2(X,Y) Z3(X,Y) Z4(X,Y) Z5(X,Y) Z6(X,Y)
Z7(X,Y) Z8(X,Y)];

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('demo_zernike', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m', 9)" style="font-weight:bold">demo_zernike</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/demo_zernike.m',9,0)">line 9</a>)
V0=demozernike(pts(:,1),pts(:,2));
} 
demo_zernike

Z12 =

  <a href="matlab:helpPopup function_handle" style="font-weight:bold">function_handle</a> with value:

    @(r,theta)6*r.^4-6*r.^2+1


V =

  Columns 1 through 4

   1.0000e+00  -5.9137e-01   8.0640e-01  -3.0056e-01
   1.0000e+00   9.1856e-01  -3.9527e-01   6.8752e-01
   1.0000e+00   8.9863e-01  -4.3870e-01   6.1508e-01
   1.0000e+00  -8.5198e-01  -5.2357e-01   4.5175e-01
   1.0000e+00   8.0246e-01   5.9671e-01   2.8788e-01
   1.0000e+00  -6.7011e-01   7.4226e-01  -1.0191e-01
   1.0000e+00  -1.6168e-01   9.8684e-01  -9.4772e-01
   1.0000e+00  -1.0097e-01   9.9489e-01  -9.7961e-01
   1.0000e+00   1.4688e-01   9.8915e-01  -9.5685e-01
   1.0000e+00   9.9997e-01   8.2986e-03   9.9986e-01

  Columns 5 through 8

   1.0000e+00  -9.5376e-01   9.4686e-01  -5.9137e-01
   1.0000e+00  -7.2617e-01   3.4449e-01   9.1856e-01
   1.0000e+00  -7.8846e-01   2.0684e-01   8.9863e-01
   1.0000e+00   8.9215e-01   8.2224e-02  -8.5198e-01
   1.0000e+00   9.5767e-01  -3.4043e-01   8.0246e-01
   1.0000e+00  -9.9479e-01   8.0669e-01  -6.7011e-01
   1.0000e+00  -3.1910e-01   4.6813e-01  -1.6168e-01
   1.0000e+00  -2.0091e-01   2.9880e-01  -1.0097e-01
   1.0000e+00   2.9057e-01  -4.2796e-01   1.4688e-01
   1.0000e+00   1.6597e-02   9.9969e-01   9.9997e-01

  Columns 9 through 12

   8.0640e-01   3.2165e-01  -8.1932e-01  -3.0056e-01
  -3.9527e-01  -9.3879e-01  -5.4639e-02   6.8752e-01
  -4.3870e-01  -9.7838e-01  -2.4334e-01   6.1508e-01
  -5.2357e-01  -9.9661e-01  -5.9185e-01   4.5175e-01
   5.9671e-01   9.4027e-01  -8.3425e-01   2.8788e-01
   7.4226e-01   5.9097e-01  -9.7923e-01  -1.0191e-01
   9.8684e-01  -8.8366e-01   7.9634e-01  -9.4772e-01
   9.9489e-01  -9.5432e-01   9.1927e-01  -9.7961e-01
   9.8915e-01  -9.0380e-01   8.3114e-01  -9.5685e-01
   8.2986e-03   2.4894e-02   9.9945e-01   9.9986e-01

  Columns 13 through 15

   1.0000e+00  -9.5376e-01   5.7333e-01
   1.0000e+00  -7.2617e-01  -9.9851e-01
   1.0000e+00  -7.8846e-01  -9.6994e-01
   1.0000e+00   8.9215e-01   8.0605e-01
   1.0000e+00   9.5767e-01   5.5139e-01
   1.0000e+00  -9.9479e-01   2.0276e-01
   1.0000e+00  -3.1910e-01   6.0484e-01
   1.0000e+00  -2.0091e-01   3.9363e-01
   1.0000e+00   2.9057e-01  -5.5607e-01
   1.0000e+00   1.6597e-02   3.3189e-02


V0 =

  Columns 1 through 4

   1.0000e+00  -5.9137e-01   8.0640e-01  -3.0056e-01
   1.0000e+00   9.1856e-01  -3.9527e-01   6.8752e-01
   1.0000e+00   8.9863e-01  -4.3870e-01   6.1508e-01
   1.0000e+00  -8.5198e-01  -5.2357e-01   4.5175e-01
   1.0000e+00   8.0246e-01   5.9671e-01   2.8788e-01
   1.0000e+00  -6.7011e-01   7.4226e-01  -1.0191e-01
   1.0000e+00  -1.6168e-01   9.8684e-01  -9.4772e-01
   1.0000e+00  -1.0097e-01   9.9489e-01  -9.7961e-01
   1.0000e+00   1.4688e-01   9.8915e-01  -9.5685e-01
   1.0000e+00   9.9997e-01   8.2986e-03   9.9986e-01

  Columns 5 through 8

   1.0000e+00  -9.5376e-01   9.4686e-01  -5.9137e-01
   1.0000e+00  -7.2617e-01   3.4449e-01   9.1856e-01
   1.0000e+00  -7.8846e-01   2.0684e-01   8.9863e-01
   1.0000e+00   8.9215e-01   8.2224e-02  -8.5198e-01
   1.0000e+00   9.5767e-01  -3.4043e-01   8.0246e-01
   1.0000e+00  -9.9479e-01   8.0669e-01  -6.7011e-01
   1.0000e+00  -3.1910e-01   4.6813e-01  -1.6168e-01
   1.0000e+00  -2.0091e-01   2.9880e-01  -1.0097e-01
   1.0000e+00   2.9057e-01  -4.2796e-01   1.4688e-01
   1.0000e+00   1.6597e-02   9.9969e-01   9.9997e-01

  Column 9

   8.0640e-01
  -3.9527e-01
  -4.3870e-01
  -5.2357e-01
   5.9671e-01
   7.4226e-01
   9.8684e-01
   9.9489e-01
   9.8915e-01
   8.2986e-03


W =

  Columns 1 through 4

   1.0000e+00  -5.9137e-01   8.0640e-01   1.0000e+00
   1.0000e+00   9.1856e-01  -3.9527e-01   1.0000e+00
   1.0000e+00   8.9863e-01  -4.3870e-01   1.0000e+00
   1.0000e+00  -8.5198e-01  -5.2357e-01   1.0000e+00
   1.0000e+00   8.0246e-01   5.9671e-01   1.0000e+00
   1.0000e+00  -6.7011e-01   7.4226e-01   1.0000e+00
   1.0000e+00  -1.6168e-01   9.8684e-01   1.0000e+00
   1.0000e+00  -1.0097e-01   9.9489e-01   1.0000e+00
   1.0000e+00   1.4688e-01   9.8915e-01   1.0000e+00
   1.0000e+00   9.9997e-01   8.2986e-03   1.0000e+00

  Columns 5 through 8

  -3.0056e-01  -9.5376e-01  -5.9137e-01   8.0640e-01
   6.8752e-01  -7.2617e-01   9.1856e-01  -3.9527e-01
   6.1508e-01  -7.8846e-01   8.9863e-01  -4.3870e-01
   4.5175e-01   8.9215e-01  -8.5198e-01  -5.2357e-01
   2.8788e-01   9.5767e-01   8.0246e-01   5.9671e-01
  -1.0191e-01  -9.9479e-01  -6.7011e-01   7.4226e-01
  -9.4772e-01  -3.1910e-01  -1.6168e-01   9.8684e-01
  -9.7961e-01  -2.0091e-01  -1.0097e-01   9.9489e-01
  -9.5685e-01   2.9057e-01   1.4688e-01   9.8915e-01
   9.9986e-01   1.6597e-02   9.9997e-01   8.2986e-03

  Column 9

   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00




demo_zernike

Z12 =

  <a href="matlab:helpPopup function_handle" style="font-weight:bold">function_handle</a> with value:

    @(r,theta)6*r.^4-6*r.^2+1


V =

  Columns 1 through 8

   1.0000e+00   7.8242e-01  -6.2275e-01   2.2436e-01   1.0000e+00  -9.7451e-01  -4.3133e-01   7.8242e-01
   1.0000e+00  -9.5762e-01   2.8804e-01   8.3406e-01   1.0000e+00  -5.5167e-01  -6.3981e-01  -9.5762e-01
   1.0000e+00  -8.8104e-01  -4.7304e-01   5.5247e-01   1.0000e+00   8.3353e-01  -9.2463e-02  -8.8104e-01
   1.0000e+00  -4.0064e-01   9.1624e-01  -6.7898e-01   1.0000e+00  -7.3416e-01   9.4469e-01  -4.0064e-01
   1.0000e+00   9.9929e-01  -3.7584e-02   9.9717e-01   1.0000e+00  -7.5115e-02   9.9365e-01   9.9929e-01

  Columns 9 through 15

  -6.2275e-01  -9.0219e-01  -8.9932e-01   2.2436e-01   1.0000e+00  -9.7451e-01  -4.3728e-01
   2.8804e-01   7.6854e-01   3.9132e-01   8.3406e-01   1.0000e+00  -5.5167e-01  -9.2026e-01
  -4.7304e-01  -9.9572e-01  -3.8955e-01   5.5247e-01   1.0000e+00   8.3353e-01   9.2101e-01
   9.1624e-01  -3.2798e-01  -7.7971e-02  -6.7898e-01   1.0000e+00  -7.3416e-01   9.9696e-01
  -3.7584e-02  -1.1254e-01   9.8872e-01   9.9717e-01   1.0000e+00  -7.5115e-02  -1.4981e-01


V0 =

  Columns 1 through 8

   1.0000e+00   7.8242e-01  -6.2275e-01   2.2436e-01   1.0000e+00  -9.7451e-01  -4.3133e-01   7.8242e-01
   1.0000e+00  -9.5762e-01   2.8804e-01   8.3406e-01   1.0000e+00  -5.5167e-01  -6.3981e-01  -9.5762e-01
   1.0000e+00  -8.8104e-01  -4.7304e-01   5.5247e-01   1.0000e+00   8.3353e-01  -9.2463e-02  -8.8104e-01
   1.0000e+00  -4.0064e-01   9.1624e-01  -6.7898e-01   1.0000e+00  -7.3416e-01   9.4469e-01  -4.0064e-01
   1.0000e+00   9.9929e-01  -3.7584e-02   9.9717e-01   1.0000e+00  -7.5115e-02   9.9365e-01   9.9929e-01

  Column 9

  -6.2275e-01
   2.8804e-01
  -4.7304e-01
   9.1624e-01
  -3.7584e-02


W =

  Columns 1 through 8

   1.0000e+00   7.8242e-01  -6.2275e-01   1.0000e+00   2.2436e-01  -9.7451e-01   7.8242e-01  -6.2275e-01
   1.0000e+00  -9.5762e-01   2.8804e-01   1.0000e+00   8.3406e-01  -5.5167e-01  -9.5762e-01   2.8804e-01
   1.0000e+00  -8.8104e-01  -4.7304e-01   1.0000e+00   5.5247e-01   8.3353e-01  -8.8104e-01  -4.7304e-01
   1.0000e+00  -4.0064e-01   9.1624e-01   1.0000e+00  -6.7898e-01  -7.3416e-01  -4.0064e-01   9.1624e-01
   1.0000e+00   9.9929e-01  -3.7584e-02   1.0000e+00   9.9717e-01  -7.5115e-02   9.9929e-01  -3.7584e-02

  Column 9

   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00
   1.0000e+00

demo_zernike

Z12 =

  <a href="matlab:helpPopup function_handle" style="font-weight:bold">function_handle</a> with value:

    @(r,theta)6*r.^4-6*r.^2+1


V =

  Columns 1 through 8

   1.0000e+00  -9.7384e-01  -1.4030e-01   9.2868e-01   9.3609e-01   2.7326e-01  -8.6604e-01  -8.8048e-01
   1.0000e+00  -1.4103e-01   9.5418e-01  -8.9057e-01   8.6071e-01  -2.6914e-01   3.8240e-01  -1.1156e-01
   1.0000e+00  -1.3150e-01  -6.5316e-01  -4.0932e-01  -1.1218e-01   1.7179e-01   1.6603e-01   8.7881e-02
   1.0000e+00   1.2717e-01  -7.1494e-01  -4.9496e-01   5.4611e-02  -1.8184e-01  -1.9295e-01  -5.3169e-02
   1.0000e+00   2.9164e-01   1.6288e-01   5.8525e-02  -7.7683e-01   9.5005e-02   1.5938e-03  -4.8565e-01

  Columns 9 through 15

  -1.2685e-01  -3.9641e-01   7.8777e-01   8.0997e-01   8.1440e-01   2.3833e-01   5.0754e-01
   7.5481e-01  -8.1181e-01   7.2069e-01  -6.4247e-01   6.1122e-01  -1.9416e-01   4.7937e-01
   4.3649e-01   2.4476e-01   1.3803e-01   5.0116e-01  -4.8112e-01  -2.1033e-01  -1.4063e-01
   2.9890e-01   3.3074e-01   2.1192e-01   4.4090e-01  -4.9553e-01   1.6198e-01   1.8001e-01
  -2.7124e-01   3.7240e-02  -5.6008e-03  -1.4945e-01   4.0520e-01  -2.4261e-01   1.1120e-02


V0 =

  Columns 1 through 8

   1.0000e+00  -9.7384e-01  -1.4030e-01   9.2868e-01   9.3609e-01   2.7326e-01  -8.6604e-01  -8.8048e-01
   1.0000e+00  -1.4103e-01   9.5418e-01  -8.9057e-01   8.6071e-01  -2.6914e-01   3.8240e-01  -1.1156e-01
   1.0000e+00  -1.3150e-01  -6.5316e-01  -4.0932e-01  -1.1218e-01   1.7179e-01   1.6603e-01   8.7881e-02
   1.0000e+00   1.2717e-01  -7.1494e-01  -4.9496e-01   5.4611e-02  -1.8184e-01  -1.9295e-01  -5.3169e-02
   1.0000e+00   2.9164e-01   1.6288e-01   5.8525e-02  -7.7683e-01   9.5005e-02   1.5938e-03  -4.8565e-01

  Column 9

  -1.2685e-01
   7.5481e-01
   4.3649e-01
   2.9890e-01
  -2.7124e-01


W =

  Columns 1 through 8

   1.0000e+00  -9.7384e-01  -1.4030e-01   9.3609e-01   9.2868e-01   2.7326e-01  -8.8048e-01  -1.2685e-01
   1.0000e+00  -1.4103e-01   9.5418e-01   8.6071e-01  -8.9057e-01  -2.6914e-01  -1.1156e-01   7.5481e-01
   1.0000e+00  -1.3150e-01  -6.5316e-01  -1.1218e-01  -4.0932e-01   1.7179e-01   8.7881e-02   4.3649e-01
   1.0000e+00   1.2717e-01  -7.1494e-01   5.4611e-02  -4.9496e-01  -1.8184e-01  -5.3169e-02   2.9890e-01
   1.0000e+00   2.9164e-01   1.6288e-01  -7.7683e-01   5.8525e-02   9.5005e-02  -4.8565e-01  -2.7124e-01

  Column 9

   8.1440e-01
   6.1122e-01
  -4.8112e-01
  -4.9553e-01
   4.0520e-01

R=rand(10,1); TH=2*pi*rand(10,1); NV=0:47; V=zernike_wyant(R,TH,NV)
{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a>
Incorrect dimensions for matrix multiplication. Check that the
number of columns in the first matrix matches the number of rows
in the second matrix. To perform elementwise multiplication, use
'.*'.

Error in
<a href="matlab:matlab.internal.language.introspective.errorDocCallback('zernike_wyant>@(r,th)(r.^2)*(15-140*r.^2+420*r.^4-504*r.^6+210*r.^8).*cos(2*th)', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m', 157)" style="font-weight:bold">zernike_wyant>@(r,th)(r.^2)*(15-140*r.^2+420*r.^4-504*r.^6+210*r.^8).*cos(2*th)</a>
(<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m',157,0)">line 157</a>)
        Z43=@(r,th)
        (r.^2)*(15-140*r.^2+420*r.^4-504*r.^6+210*r.^8).*cos(2*th);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('zernike_wyant>sub_zernike_wyant', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m', 158)" style="font-weight:bold">zernike_wyant>sub_zernike_wyant</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m',158,0)">line 158</a>)
        res=feval(Z43,R,TH);

Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('zernike_wyant', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m', 21)" style="font-weight:bold">zernike_wyant</a> (<a href="matlab: opentoline('/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m',21,0)">line 21</a>)
    VL=sub_zernike_wyant(R,TH,NV(kk));
} 
matlab.internal.language.introspective.errorDocCallback('zernike_wyant>sub_zernike_wyant', '/Users/alvisesommariva/Documents/RICERCA/TEX/SV_2018_061218_POLYGONS/MATLAB/zernike_wyant.m', 158)
R=rand(10,1); TH=2*pi*rand(10,1); NV=0:47; V=zernike_wyant(R,TH,NV)

V =

  Columns 1 through 4

   1.0000e+00  -5.0699e-01  -3.5281e-01  -2.3697e-01
   1.0000e+00  -4.8185e-01  -2.9029e-01  -3.6711e-01
   1.0000e+00   8.1434e-01  -1.6334e-01   3.7966e-01
   1.0000e+00  -8.3413e-01  -4.7054e-01   8.3437e-01
   1.0000e+00   6.1141e-02   4.4304e-02  -9.8860e-01
   1.0000e+00   4.4432e-01   7.6887e-01   5.7717e-01
   1.0000e+00   4.5064e-01   3.3656e-01  -3.6731e-01
   1.0000e+00   1.1791e-01   1.5450e-01  -9.2445e-01
   1.0000e+00  -1.0477e-01  -1.9510e-01  -9.0192e-01
   1.0000e+00  -4.5037e-01  -5.4338e-01  -3.7970e-03

  Columns 5 through 8

   1.3256e-01   3.5775e-01   4.3370e-01   3.0182e-01
   1.4791e-01   2.7975e-01   5.0626e-01   3.0499e-01
   6.3647e-01  -2.6603e-01   5.6591e-02  -1.1351e-02
   4.7437e-01   7.8499e-01  -6.2690e-01  -3.5364e-01
   1.7753e-03   5.4176e-03  -1.2124e-01  -8.7851e-02
  -3.9375e-01   6.8325e-01   1.6252e-01   2.8122e-01
   8.9808e-02   3.0333e-01  -4.7361e-01  -3.5371e-01
  -9.9662e-03   3.6435e-02  -2.2247e-01  -2.9149e-01
  -2.7087e-02   4.0882e-02   1.9413e-01   3.6150e-01
  -9.2432e-02   4.8945e-01   2.2775e-01   2.7479e-01

  Columns 9 through 12

  -4.1577e-01   5.9012e-02  -2.2814e-01  -1.9538e-01
  -2.9784e-01   9.9361e-03  -1.7773e-01  -2.5651e-01
  -2.8378e-01   4.7485e-01  -3.2061e-01  -1.5318e-01
   5.4427e-01  -2.6321e-02  -8.7799e-01   3.1723e-01
   9.6599e-01  -1.3148e-04   4.0989e-04  -5.2855e-03
  -3.0412e-04  -7.0028e-01   8.4276e-04  -6.0774e-02
  -2.9763e-01  -6.1617e-02   1.6692e-01  -1.5578e-01
   7.8192e-01  -6.8044e-03   2.7565e-03   2.8393e-02
   7.2018e-01   1.0814e-02   1.0013e-03   7.5947e-02
  -4.9998e-01   3.0759e-01  -1.7021e-01   9.3134e-02

  Columns 13 through 16

  -5.2729e-01   6.2182e-02   4.3273e-02   3.2218e-01
  -4.8515e-01  -9.8317e-02  -5.9230e-02   4.2698e-01
   6.4028e-02  -4.2289e-01   8.4825e-02  -4.3268e-01
   5.2496e-01  -3.3872e-01  -1.9107e-01   2.0062e-01
  -1.6129e-02   1.7926e-01   1.2990e-01  -9.3256e-01
   1.0546e-01  -1.0857e-01  -1.8787e-01  -3.8508e-01
  -5.2616e-01   9.2197e-02   6.8856e-02   4.2707e-01
  -1.0380e-01   3.0198e-01   3.9567e-01  -5.8844e-01
  -1.1463e-01  -2.5518e-01  -4.7518e-01  -4.8130e-01
  -4.9317e-01   2.2346e-01   2.6961e-01   5.6954e-03

  Columns 17 through 20

  -1.1041e-01   9.4846e-02  -1.2348e-01   4.7737e-01
  -5.6381e-02   8.2756e-02  -2.4023e-02   4.2972e-01
   3.3432e-01  -3.3865e-01  -2.6157e-01   1.7660e-01
  -3.9118e-01   7.4475e-01  -1.5422e-02  -5.1445e-01
  -2.6199e-05   1.9236e-05   5.2217e-04  -1.6279e-03
  -3.1180e-01  -5.3806e-01   3.9961e-02  -4.8090e-05
  -8.3945e-02   5.4483e-02   1.4901e-01  -4.0365e-01
  -1.2282e-03  -7.2625e-04   2.5933e-02  -1.0505e-02
  -9.3767e-04  -2.2147e-03  -4.0605e-02  -3.7596e-03
  -2.3102e-01  -9.0482e-02  -4.6430e-01   2.5693e-01

  Columns 21 through 24

   7.3305e-02   1.9783e-01  -3.3249e-01  -2.3138e-01
   1.7353e-01   3.2819e-01  -2.8630e-01  -1.7248e-01
  -4.1919e-01   1.7522e-01  -2.9944e-01   6.0063e-02
   1.3033e-01   2.1567e-01  -3.8817e-02  -2.1897e-02
   1.0450e-02   3.1891e-02  -2.3423e-01  -1.6973e-01
   1.7470e-01  -3.0316e-01  -2.1799e-01  -3.7723e-01
   1.0545e-01   3.5617e-01   2.6765e-01   1.9989e-01
  -5.2481e-02   1.9187e-01  -3.4791e-01  -4.5585e-01
  -1.3693e-01   2.0667e-01   2.7963e-01   5.2071e-01
   2.2226e-02  -1.1769e-01  -1.7208e-01  -2.0762e-01

  Columns 25 through 28

   1.7822e-01   8.9440e-02  -9.1314e-03   5.1526e-01
  -5.0928e-02   5.1190e-02  -2.3509e-02   2.7119e-01
  -7.4637e-02   2.1693e-01  -3.3038e-01  -1.0131e+00
  -1.1526e-01   6.7673e-01  -4.3716e-01   1.4497e-01
   8.8888e-01  -2.4541e-06   1.5397e-08   1.3099e-04
  -3.8872e-01   2.7516e-01  -4.7880e-01   6.4156e-01
  -5.1294e-02  -5.6165e-02  -3.6998e-03   4.0378e-01
   3.6554e-01  -3.2620e-05  -2.7539e-04   6.1407e-03
   2.1952e-01  -3.3385e-04   4.1498e-04   4.6877e-03
   3.7495e-01   5.4877e-02   1.6628e-01   9.8379e-01

  Columns 29 through 32

  -4.4263e-01   9.5077e-02  -3.6757e-01   9.5112e-02
  -3.9805e-01   2.5929e-02  -4.6380e-01   3.6502e-02
   1.0262e+00  -3.3321e-01   2.2498e-01  -1.2294e-01
  -2.7600e-01  -3.9549e-03  -1.3193e-01  -4.2876e-02
  -9.6181e-05  -1.2924e-03   4.0291e-03  -1.7152e-02
   1.1071e+00   4.1902e-01  -5.0426e-04   2.0427e-01
  -2.6207e-01  -1.6089e-01   4.3585e-01   2.2073e-02
   3.6310e-03  -6.0537e-02   2.4524e-02   7.8537e-02
   1.1072e-02   9.2777e-02   8.5902e-03   1.9783e-01
   3.8532e-01   8.2176e-02  -4.5473e-02  -6.9843e-02

  Columns 33 through 36

   2.5668e-01   1.0335e-01   7.1922e-02  -4.8567e-02
   6.9037e-02   2.7322e-01   1.6460e-01  -3.1490e-02
   5.1389e-02   1.3015e-01  -2.6106e-02   1.2269e-01
  -7.0952e-02   2.0411e-01   1.1514e-01  -7.7018e-01
  -5.2342e-02   2.8520e-01   2.0667e-01  -1.5073e-07
  -3.5446e-01  -1.3649e-01  -2.3620e-01   4.9040e-01
   7.4553e-02  -2.5573e-01  -1.9099e-01  -2.4065e-02
  -2.8712e-01   3.5591e-01   4.6634e-01   3.8702e-05
  -2.9858e-01  -2.6510e-01  -4.9366e-01   1.1594e-04
   3.6984e-01  -1.6629e-01  -2.0063e-01   6.5640e-02

  Columns 37 through 40

  -2.6926e-02  -2.9778e-01   3.0402e-02  -3.3696e-01
  -3.5319e-03  -1.9375e-01   8.8980e-02  -2.5446e-01
  -3.0448e-01  -2.5407e-01   3.8694e-01  -2.1685e-01
   4.6219e-02   2.8443e-01  -1.8374e-01  -1.2768e-02
  -1.0779e-07   1.4627e-05  -9.1769e-08  -3.8673e-04
  -1.1803e-03  -1.3205e-01   2.2977e-01   2.2085e-01
  -2.0570e-02   2.1262e-01   1.4006e-02  -3.7906e-01
  -3.7513e-05   1.8710e-04   1.5795e-03  -1.6524e-02
   2.1656e-05   1.8885e-03  -2.3474e-03  -1.2197e-02
  -1.0471e-01  -1.3792e-01  -4.1791e-01  -2.3718e-01

  Columns 41 through 44

   2.8945e-01   1.5973e-02  -6.1752e-02  -1.0845e-01
   3.7349e-01  -9.2862e-03   1.6611e-01  -1.6412e-01
   2.1966e-01   2.9020e-02  -1.9594e-02   2.5150e-01
   2.4309e-02   5.5460e-03   1.8500e-01  -1.6488e-01
   2.8396e-04   2.5516e-03  -7.9548e-03   2.5237e-02
   3.8111e-01   3.3543e-01  -4.0367e-04   6.5420e-02
   2.4602e-01   5.7730e-02  -1.5639e-01  -9.9655e-02
  -9.7705e-03   1.1070e-01  -4.4845e-02  -1.0249e-01
  -2.8808e-02  -1.6486e-01  -1.5264e-02  -2.4611e-01
  -9.2896e-02   3.0754e-01  -1.7018e-01  -1.0319e-02

  Columns 45 through 48

  -2.9267e-01   2.2410e-01   1.5595e-01  -3.5157e-03
  -3.1039e-01   4.4341e-02   2.6713e-02   2.4969e-01
  -1.0512e-01   3.3217e-01  -6.6628e-02   2.6763e-01
  -2.7284e-01   3.4007e-01   1.9184e-01  -4.1426e-01
   7.7014e-02  -3.3134e-01  -2.4010e-01   7.7390e-01
  -1.1352e-01   3.5719e-02   6.1811e-02   2.2258e-01
  -3.3659e-01  -4.1144e-02  -3.0728e-02   2.4998e-01
   3.7471e-01  -3.2632e-01  -4.2756e-01  -7.1566e-02
   3.7146e-01   2.1542e-01   4.0113e-01  -2.3032e-01
   5.4640e-02   1.4445e-01   1.7429e-01  -3.1241e-01

size(V)

ans =

    10    48

