09 May 2025   9:29:03.330 PM
 
quadrature_weights_vandermonde_test():
  FORTRAN90 version
  Test quadrature_weights_vandermonde().
 
TEST01:
  Use the Vandermonde procedure to compute the
  quadrature weights for a Newton-Cotes rule.
  Order N =    5
  Interval = [    0.0000,    1.0000]
 
  Abscissas:
 
         1:    0.0000000    
         2:   0.25000000    
         3:   0.50000000    
         4:   0.75000000    
         5:    1.0000000    
 
  Matrix:
 
  Col          1             2             3             4             5      
  Row
 
    1:      1.            1.            1.            1.            1.      
    2:      0.        0.250000      0.500000      0.750000          1.      
    3:      0.        0.625000E-01  0.250000      0.562500          1.      
    4:      0.        0.156250E-01  0.125000      0.421875          1.      
    5:      0.        0.390625E-02  0.625000E-01  0.316406          1.      
 
  Right hand side:
 
         1:    1.0000000    
         2:   0.50000000    
         3:   0.33333333    
         4:   0.25000000    
         5:   0.20000000    
 
  Weights:
 
         1:   0.77777778E-01
         2:   0.35555556    
         3:   0.13333333    
         4:   0.35555556    
         5:   0.77777778E-01
 
TEST02
  Use the Vandermonde procedure to compute the
  quadrature weights for a Clenshaw-Curtis rule.
  Order N =    5
  Interval is [   -1.0000,    1.0000]
 
  Abscissas:
 
         1:   -1.0000000    
         2:  -0.70710678    
         3:   0.55511151E-16
         4:   0.70710678    
         5:    1.0000000    
 
  Matrix:
 
  Col          1             2             3             4             5      
  Row
 
    1:      1.            1.            1.            1.            1.      
    2:     -1.       -0.707107      0.555112E-16  0.707107          1.      
    3:      1.        0.500000      0.308149E-32  0.500000          1.      
    4:     -1.       -0.353553      0.171057E-48  0.353553          1.      
    5:      1.        0.250000      0.949557E-65  0.250000          1.      
 
  Right hand side:
 
         1:    2.0000000    
         2:    0.0000000    
         3:   0.66666667    
         4:    0.0000000    
         5:   0.40000000    
 
  Weights:
 
         1:   0.66666667E-01
         2:   0.53333333    
         3:   0.80000000    
         4:   0.53333333    
         5:   0.66666667E-01
 
quadrature_weights_vandermonde_test():
  Normal end of execution.
 
09 May 2025   9:29:03.330 PM