15 July 2023   6:38:20.159 AM

quadrilateral_witherden_rule_test():
  Fortran90 version
  Test quadrilateral_witherden_rule().

quadrilateral_witherden_rule_test01():
  Quadrature rule for the unit quadrilateral,
  Precision p =  5

  Number of nodes N =   8

     I      W          X           Y

     1    0.204082        0.841565        0.500000    
     2    0.204082        0.500000        0.841565    
     3    0.204082        0.158435        0.500000    
     4    0.204082        0.500000        0.158435    
     5    0.459184E-01    0.940959        0.940959    
     6    0.459184E-01    0.940959        0.590414E-01
     7    0.459184E-01    0.590414E-01    0.940959    
     8    0.459184E-01    0.590414E-01    0.590414E-01

  Weight Sum    1.00000    

quadrilateral_witherden_rule_test02():
  Test the precision of a quadrature rule for the unit quadrilateral,

  Number of nodes N =   8

  Stated precision of rule    =  5
  Number of quadrature points =   8

  Degree  Maximum error

   0    0.1110223024625157E-15
   1    0.1110223024625157E-15
   2    0.5551115123125783E-16
   3    0.2775557561562891E-16
   4    0.2775557561562891E-16
   5    0.2775557561562891E-16
   6    0.3086419753086378E-03
   7    0.8179012345678610E-03

quadrilateral_witherden_rule_test03():
  Test the precision of quadrature rules for the unit quadrilateral,
  Check rules of precision p = 0 through 21
  for error in approximating integrals of monomials.

              maximum                   maximum
   p          absolute                  relative
              error                     error

   0     0.000000000000000         0.000000000000000    
   1     0.000000000000000         0.000000000000000    
   2    0.5551115123125783E-16    0.1665334536937735E-15
   3    0.5551115123125783E-16    0.1665334536937735E-15
   4    0.1110223024625157E-15    0.2220446049250313E-15
   5    0.1110223024625157E-15    0.2220446049250313E-15
   6    0.8326672684688674E-16    0.4996003610813204E-15
   7    0.8326672684688674E-16    0.4996003610813204E-15
   8    0.2220446049250313E-15    0.1040834085586084E-14
   9    0.2220446049250313E-15    0.1040834085586084E-14
  10    0.4440892098500626E-15    0.1040834085586084E-14
  11    0.4440892098500626E-15    0.1165734175856414E-14
  12    0.6661338147750939E-15    0.1998401444325282E-14
  13    0.6661338147750939E-15    0.1998401444325282E-14
  14    0.2775557561562891E-15    0.1110223024625157E-14
  15    0.2775557561562891E-15    0.1214306433183765E-14
  16    0.6661338147750939E-15    0.1165734175856414E-14
  17    0.6661338147750939E-15    0.1249000902703301E-14
  18    0.6661338147750939E-15    0.5323866347772820E-14
  19    0.6661338147750939E-15    0.5533767888366014E-14
  20    0.1110223024625157E-14    0.2810252031082427E-14
  21    0.1110223024625157E-14    0.2810252031082427E-14

quadrilateral_witherden_rule_test():
  Normal end of execution.

15 July 2023   6:38:20.161 AM