bspline_2d Interface

public interface bspline_2d

Constructor for bspline_2d

Calls

interface~~bspline_2d~~CallsGraph interface~bspline_2d bspline_oo_module::bspline_2d proc~bspline_2d_constructor_auto_knots bspline_oo_module::bspline_2d_constructor_auto_knots interface~bspline_2d->proc~bspline_2d_constructor_auto_knots proc~bspline_2d_constructor_empty bspline_oo_module::bspline_2d_constructor_empty interface~bspline_2d->proc~bspline_2d_constructor_empty proc~bspline_2d_constructor_specify_knots bspline_oo_module::bspline_2d_constructor_specify_knots interface~bspline_2d->proc~bspline_2d_constructor_specify_knots proc~initialize_2d_auto_knots bspline_oo_module::bspline_2d%initialize_2d_auto_knots proc~bspline_2d_constructor_auto_knots->proc~initialize_2d_auto_knots proc~initialize_2d_specify_knots bspline_oo_module::bspline_2d%initialize_2d_specify_knots proc~bspline_2d_constructor_specify_knots->proc~initialize_2d_specify_knots proc~db2ink bspline_sub_module::db2ink proc~initialize_2d_auto_knots->proc~db2ink proc~destroy_2d bspline_oo_module::bspline_2d%destroy_2d proc~initialize_2d_auto_knots->proc~destroy_2d proc~set_extrap_flag bspline_oo_module::bspline_class%set_extrap_flag proc~initialize_2d_auto_knots->proc~set_extrap_flag proc~check_knot_vectors_sizes bspline_oo_module::check_knot_vectors_sizes proc~initialize_2d_specify_knots->proc~check_knot_vectors_sizes proc~initialize_2d_specify_knots->proc~db2ink proc~initialize_2d_specify_knots->proc~destroy_2d proc~initialize_2d_specify_knots->proc~set_extrap_flag proc~check_inputs bspline_sub_module::check_inputs proc~db2ink->proc~check_inputs proc~dbknot bspline_sub_module::dbknot proc~db2ink->proc~dbknot proc~dbtpcf bspline_sub_module::dbtpcf proc~db2ink->proc~dbtpcf proc~destroy_base bspline_oo_module::bspline_class%destroy_base proc~destroy_2d->proc~destroy_base proc~dbintk bspline_sub_module::dbintk proc~dbtpcf->proc~dbintk proc~dbnslv bspline_sub_module::dbnslv proc~dbtpcf->proc~dbnslv proc~dbintk->proc~dbnslv proc~dbnfac bspline_sub_module::dbnfac proc~dbintk->proc~dbnfac proc~dbspvn bspline_sub_module::dbspvn proc~dbintk->proc~dbspvn

Module Procedures

private elemental function bspline_2d_constructor_empty() result(me)

It returns an empty bspline_2d 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_2d)

private pure function bspline_2d_constructor_auto_knots(x, y, fcn, kx, ky, extrap) result(me)

Constructor for a bspline_2d type (auto knots). This is a wrapper for initialize_2d_auto_knots.

Arguments

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

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

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

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

The order of spline pieces in ( ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: ky

The order of spline pieces in ( ) (order = polynomial degree + 1)
logical, intent(in), optional :: extrap

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

Return Value type(bspline_2d)

private pure function bspline_2d_constructor_specify_knots(x, y, fcn, kx, ky, tx, ty, extrap) result(me)

Constructor for a bspline_2d type (user-specified knots). This is a wrapper for initialize_2d_specify_knots.

Arguments

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

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

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

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

The order of spline pieces in ( ) (order = polynomial degree + 1)
integer(kind=ip), intent(in) :: ky

The order of spline pieces in ( ) (order = polynomial degree + 1)
real(kind=wp), intent(in), dimension(:) :: tx

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

The (ny+ky) knots in the 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_2d)