 	 .................... 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:   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
 
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
 