16 July 2023   9:09:59.914 PM

hexahedron_witherden_rule_test():
  Fortran90 version
  Test hexahedron_witherden_rule().

hexahedron_witherden_rule_test01():
  Quadrature rule for the unit hexahedron,
  Precision p =  5

  Number of nodes N =  14

     I      W          X           Y           Z

     1    0.110803        0.102089        0.500000        0.500000    
     2    0.110803        0.500000        0.500000        0.897911    
     3    0.110803        0.500000        0.897911        0.500000    
     4    0.110803        0.500000        0.500000        0.102089    
     5    0.110803        0.897911        0.500000        0.500000    
     6    0.110803        0.500000        0.102089        0.500000    
     7    0.418975E-01    0.879393        0.120607        0.120607    
     8    0.418975E-01    0.120607        0.879393        0.879393    
     9    0.418975E-01    0.120607        0.879393        0.120607    
    10    0.418975E-01    0.120607        0.120607        0.120607    
    11    0.418975E-01    0.120607        0.120607        0.879393    
    12    0.418975E-01    0.879393        0.879393        0.120607    
    13    0.418975E-01    0.879393        0.879393        0.879393    
    14    0.418975E-01    0.879393        0.120607        0.879393    

  Weight Sum    1.00000    

hexahedron_witherden_rule_test02():
  Test the precision of a quadrature rule for the unit hexahedron,

  Number of nodes N =  14

  Stated precision of rule    =  5
  Number of quadrature points =  14

  Degree  Maximum error

   0    0.2220446049250313E-15
   1    0.3330669073875470E-15
   2    0.1110223024625157E-15
   3    0.1665334536937735E-15
   4    0.1110223024625157E-15
   5    0.8326672684688674E-16
   6    0.4208754208754467E-03
   7    0.1235269360269312E-02

hexahedron_witherden_rule_test03():
  Test the precision of a quadrature rule for the unit hexahedron,
  Check rules of precision p =  0 through 11
  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    0.2220446049250313E-15    0.3330669073875470E-15
   3    0.2220446049250313E-15    0.3330669073875470E-15
   4    0.3330669073875470E-15    0.8326672684688674E-15
   5    0.3330669073875470E-15    0.8326672684688674E-15
   6    0.2220446049250313E-15    0.5551115123125783E-15
   7    0.2220446049250313E-15    0.5551115123125783E-15
   8    0.3330669073875470E-15    0.1040834085586084E-14
   9    0.3330669073875470E-15    0.1040834085586084E-14
  10    0.8881784197001252E-15    0.3691491556878645E-14
  11    0.8881784197001252E-15    0.3691491556878645E-14

hexahedron_witherden_rule_test():
  Normal end of execution.

16 July 2023   9:09:59.915 PM