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Jacobi1D example 13

This example shows the usage of [[Jacobi1D_]] class. We test BasisEval(). This is a developer level routine designed for [[JacobiSpace1D_]]. Users should not use this subroutine.

Modules and classes​

  • [[Jacobi1D_]]

Usage​

PROGRAM main
use easifemBase
use easifemClasses
implicit none
type(Jacobi1D_) :: obj
type(String) :: astr
integer(i4b) :: ii, n
real( dfp ), parameter :: alpha=0.0, beta=0.0
logical( lgt ), parameter :: isOrthonormal = .FALSE., isMonic=.FALSE.
real( dfp ), allocatable :: coeff(:,:), scale(:,:), y( : )
real( dfp ) :: x

n=1​

  n=1
  x = 1.0_DFP
  obj = Jacobi1D(varname="x", n=n, alpha=alpha, beta=beta, &
    & isOrthonormal=isOrthonormal, isMonic=isMonic )
  call Display( "J(n=1, alpha=0.0, beta=0.0) := " )
  call reallocate( coeff, n, 2)
  call reallocate( scale, n, 2)
  call obj%getCoeffScale( n=n, coeff=coeff, scale=scale, &
    & isMonic=isMonic, isOrthonormal=isOrthonormal )
  call display( coeff, "coeff = ")
  call display( scale, "scale = ")
  y = obj%BasisEval( x=x, coeff=coeff, scale=scale )
  call display( y, "y = ")
  call obj%Deallocate()
>result
J(n=1, alpha=0.0, beta=0.0) :=
    coeff =
----------------
0.00000  2.00000
    scale =
----------------
1.00000  0.70711
  y =
-------
1.00000
1.00000

n=2​

  n=2
  x = 0.0_DFP
  obj = Jacobi1D(varname="x", n=n, alpha=alpha, beta=beta, &
    & isOrthonormal=isOrthonormal, isMonic=isMonic )
  call Display( "J(n=2, alpha=0.0, beta=0.0) := " )
  call reallocate( coeff, n, 2)
  call reallocate( scale, n, 2)
  call obj%getCoeffScale( n=n, coeff=coeff, scale=scale, &
    & isMonic=isMonic, isOrthonormal=isOrthonormal )
  call display( coeff, "coeff = ")
  call display( scale, "scale = ")
  y = obj%BasisEval( x=x, coeff=coeff, scale=scale )
  call display( y, "y = ")
  call obj%Deallocate()
>result
J(n=2, alpha=0.0, beta=0.0) :=
    coeff =
----------------
0.00000  2.00000
0.00000  0.33333
    scale =
----------------
1.00000  0.70711
1.50000  1.50000
  y =
--------
 1.00000
 0.00000
-0.50000

n=3​

  n=3
  x = 0.0_DFP
  obj = Jacobi1D(varname="x", n=n, alpha=alpha, beta=beta, &
    & isOrthonormal=isOrthonormal, isMonic=isMonic )
  call Display( "J(n=3, alpha=0.0, beta=0.0) := " )
  call reallocate( coeff, n, 2)
  call reallocate( scale, n, 2)
  call obj%getCoeffScale( n=n, coeff=coeff, scale=scale, &
    & isMonic=isMonic, isOrthonormal=isOrthonormal )
  call display( coeff, "coeff = ")
  call display( scale, "scale = ")
  y = obj%BasisEval( x=x, coeff=coeff, scale=scale )
  call display( y, "y = ")
  call obj%Deallocate()
>result
J(n=3, alpha=0.0, beta=0.0) :=
    coeff =
----------------
0.00000  2.00000
0.00000  0.33333
0.00000  0.26667
    scale =
----------------
1.00000  0.70711
1.50000  1.50000
1.66667  2.50000
  y =
--------
 1.00000
 0.00000
-0.50000
-0.00000
END PROGRAM main