bspline_4d_constructor_specify_knots Function

private pure function bspline_4d_constructor_specify_knots(x, y, z, q, fcn, kx, ky, kz, kq, tx, ty, tz, tq, extrap) result(me)

Constructor for a bspline_4d type (user-specified knots). This is a wrapper for initialize_4d_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(:) :: z

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

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

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

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

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.
real(kind=wp), intent(in), dimension(:) :: tz

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

The (nq+kq) 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_4d)


Calls

proc~~bspline_4d_constructor_specify_knots~~CallsGraph proc~bspline_4d_constructor_specify_knots bspline_oo_module::bspline_4d_constructor_specify_knots proc~initialize_4d_specify_knots bspline_oo_module::bspline_4d%initialize_4d_specify_knots proc~bspline_4d_constructor_specify_knots->proc~initialize_4d_specify_knots proc~check_knot_vectors_sizes bspline_oo_module::check_knot_vectors_sizes proc~initialize_4d_specify_knots->proc~check_knot_vectors_sizes proc~db4ink bspline_sub_module::db4ink proc~initialize_4d_specify_knots->proc~db4ink proc~destroy_4d bspline_oo_module::bspline_4d%destroy_4d proc~initialize_4d_specify_knots->proc~destroy_4d proc~set_extrap_flag bspline_oo_module::bspline_class%set_extrap_flag proc~initialize_4d_specify_knots->proc~set_extrap_flag proc~check_inputs bspline_sub_module::check_inputs proc~db4ink->proc~check_inputs proc~dbknot bspline_sub_module::dbknot proc~db4ink->proc~dbknot proc~dbtpcf bspline_sub_module::dbtpcf proc~db4ink->proc~dbtpcf 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

Called by

proc~~bspline_4d_constructor_specify_knots~~CalledByGraph proc~bspline_4d_constructor_specify_knots bspline_oo_module::bspline_4d_constructor_specify_knots interface~bspline_4d bspline_oo_module::bspline_4d interface~bspline_4d->proc~bspline_4d_constructor_specify_knots

Source Code

    pure function bspline_4d_constructor_specify_knots(x,y,z,q,fcn,kx,ky,kz,kq,&
                                                        tx,ty,tz,tq,extrap) result(me)

    implicit none

    type(bspline_4d)                           :: me
    real(wp),dimension(:),intent(in)           :: x   !! `(nx)` array of \(x\) abcissae. Must be strictly increasing.
    real(wp),dimension(:),intent(in)           :: y   !! `(ny)` array of \(y\) abcissae. Must be strictly increasing.
    real(wp),dimension(:),intent(in)           :: z   !! `(nz)` array of \(z\) abcissae. Must be strictly increasing.
    real(wp),dimension(:),intent(in)           :: q   !! `(nq)` array of \(q\) abcissae. Must be strictly increasing.
    real(wp),dimension(:,:,:,:),intent(in)     :: fcn !! `(nx,ny,nz,nq)` matrix of function values to interpolate.
                                                      !! `fcn(i,j,k,l)` should contain the function value at the
                                                      !! point (`x(i)`,`y(j)`,`z(k)`,`q(l)`)
    integer(ip),intent(in)                     :: kx  !! The order of spline pieces in \(x\)
                                                      !! ( \( 2 \le k_x < n_x \) )
                                                      !! (order = polynomial degree + 1)
    integer(ip),intent(in)                     :: ky  !! The order of spline pieces in \(y\)
                                                      !! ( \( 2 \le k_y < n_y \) )
                                                      !! (order = polynomial degree + 1)
    integer(ip),intent(in)                     :: kz  !! The order of spline pieces in \(z\)
                                                      !! ( \( 2 \le k_z < n_z \) )
                                                      !! (order = polynomial degree + 1)
    integer(ip),intent(in)                     :: kq  !! The order of spline pieces in \(q\)
                                                      !! ( \( 2 \le k_q < n_q \) )
                                                      !! (order = polynomial degree + 1)
    real(wp),dimension(:),intent(in)           :: tx  !! The `(nx+kx)` knots in the \(x\) direction
                                                      !! for the spline interpolant.
                                                      !! Must be non-decreasing.
    real(wp),dimension(:),intent(in)           :: ty  !! The `(ny+ky)` knots in the \(y\) direction
                                                      !! for the spline interpolant.
                                                      !! Must be non-decreasing.
    real(wp),dimension(:),intent(in)           :: tz  !! The `(nz+kz)` knots in the \(z\) direction
                                                      !! for the spline interpolant.
                                                      !! Must be non-decreasing.
    real(wp),dimension(:),intent(in)           :: tq  !! The `(nq+kq)` knots in the \(q\) direction
                                                      !! for the spline interpolant.
                                                      !! Must be non-decreasing.
    logical,intent(in),optional      :: extrap        !! if true, then extrapolation is allowed
                                                      !! (default is false)

    call initialize_4d_specify_knots(me,x,y,z,q,fcn,kx,ky,kz,kq,tx,ty,tz,tq,me%iflag,extrap)

    end function bspline_4d_constructor_specify_knots