Processing math: 100%

bspline_3d Interface

public interface bspline_3d

Constructor for bspline_3d

Calls

interface~~bspline_3d~~CallsGraph interface~bspline_3d bspline_3d proc~bspline_3d_constructor_auto_knots bspline_3d_constructor_auto_knots interface~bspline_3d->proc~bspline_3d_constructor_auto_knots proc~bspline_3d_constructor_empty bspline_3d_constructor_empty interface~bspline_3d->proc~bspline_3d_constructor_empty proc~bspline_3d_constructor_specify_knots bspline_3d_constructor_specify_knots interface~bspline_3d->proc~bspline_3d_constructor_specify_knots proc~initialize_3d_auto_knots bspline_3d%initialize_3d_auto_knots proc~bspline_3d_constructor_auto_knots->proc~initialize_3d_auto_knots proc~initialize_3d_specify_knots bspline_3d%initialize_3d_specify_knots proc~bspline_3d_constructor_specify_knots->proc~initialize_3d_specify_knots proc~db3ink db3ink proc~initialize_3d_auto_knots->proc~db3ink proc~destroy_3d bspline_3d%destroy_3d proc~initialize_3d_auto_knots->proc~destroy_3d proc~set_extrap_flag bspline_class%set_extrap_flag proc~initialize_3d_auto_knots->proc~set_extrap_flag proc~check_knot_vectors_sizes check_knot_vectors_sizes proc~initialize_3d_specify_knots->proc~check_knot_vectors_sizes proc~initialize_3d_specify_knots->proc~db3ink proc~initialize_3d_specify_knots->proc~destroy_3d proc~initialize_3d_specify_knots->proc~set_extrap_flag proc~check_inputs check_inputs proc~db3ink->proc~check_inputs proc~dbknot dbknot proc~db3ink->proc~dbknot proc~dbtpcf dbtpcf proc~db3ink->proc~dbtpcf proc~destroy_base bspline_class%destroy_base proc~destroy_3d->proc~destroy_base proc~dbintk dbintk proc~dbtpcf->proc~dbintk proc~dbnslv dbnslv proc~dbtpcf->proc~dbnslv proc~dbintk->proc~dbnslv proc~dbnfac dbnfac proc~dbintk->proc~dbnfac proc~dbspvn dbspvn proc~dbintk->proc~dbspvn

Module Procedures

private elemental function bspline_3d_constructor_empty() result(me)

It returns an empty bspline_3d type. Note that INITIALIZE still needs to be called before it can be used. Not really that useful except perhaps in some OpenMP applications.

Arguments

None

Return Value type(bspline_3d)

private pure function bspline_3d_constructor_auto_knots(x, y, z, fcn, kx, ky, kz, extrap) result(me)

Constructor for a bspline_3d type (auto knots). This is a wrapper for initialize_3d_auto_knots.

Arguments

Type IntentOptional Attributes Name
real(kind=wp), intent(in), dimension(:) :: x

(nx) array of x abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:) :: y

(ny) array of y abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:) :: z

(nz) array of z abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:,:,:) :: fcn

(nx,ny,nz) matrix of function values to interpolate. fcn(i,j,k) should contain the function value at the point (x(i),y(j),z(k))
integer(kind=ip), intent(in) :: kx

The order of spline pieces in x ( 2≤kx<nx ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: ky

The order of spline pieces in y ( 2≤ky<ny ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: kz

The order of spline pieces in z ( 2≤kz<nz ) (order = polynomial degree + 1)
logical, intent(in), optional :: extrap

if true, then extrapolation is allowed (default is false)

Return Value type(bspline_3d)

private pure function bspline_3d_constructor_specify_knots(x, y, z, fcn, kx, ky, kz, tx, ty, tz, extrap) result(me)

Constructor for a bspline_3d type (user-specified knots). This is a wrapper for initialize_3d_specify_knots.

Arguments

Type IntentOptional Attributes Name
real(kind=wp), intent(in), dimension(:) :: x

(nx) array of x abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:) :: y

(ny) array of y abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:) :: z

(nz) array of z abcissae. Must be strictly increasing.
real(kind=wp), intent(in), dimension(:,:,:) :: fcn

(nx,ny,nz) matrix of function values to interpolate. fcn(i,j,k) should contain the function value at the point (x(i),y(j),z(k))
integer(kind=ip), intent(in) :: kx

The order of spline pieces in x ( 2≤kx<nx ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: ky

The order of spline pieces in y ( 2≤ky<ny ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: kz

The order of spline pieces in z ( 2≤kz<nz ) (order = polynomial degree + 1)
real(kind=wp), intent(in), dimension(:) :: tx

The (nx+kx) knots in the x direction for the spline interpolant. Must be non-decreasing.
real(kind=wp), intent(in), dimension(:) :: ty

The (ny+ky) knots in the y direction for the spline interpolant. Must be non-decreasing.
real(kind=wp), intent(in), dimension(:) :: tz

The (nz+kz) knots in the z direction for the spline interpolant. Must be non-decreasing.
logical, intent(in), optional :: extrap

if true, then extrapolation is allowed (default is false)

Return Value type(bspline_3d)