sll_m_hermite_interpolator_2d Module Reference

Description

Hermite interpolation in 2d.

derivatives are given with finite stencil formulae of order p which can be arbitrary in each direction

• If p is odd, the reconstruction has discontinuous derivatives
• If p is even, the reconstruction has continuous derivatives
• p=6 should be quite similar to cubic splines

do not hesitate to take large odd p, like the favourite p=17

Todo:

for the moment only in implementation for the case DIRICHLET x PERIODIC

Derived types and interfaces
type	sll_hermite_interpolator_2d
	The hermite-based interpolator is only a wrapper around the capabilities of the hermite interpolation. More...

Functions/Subroutines
type(sll_hermite_interpolator_2d) function, pointer, public	sll_f_new_hermite_interpolator_2d (npts1, npts2, eta1_min, eta1_max, eta2_min, eta2_max, degree1, degree2, eta1_hermite_continuity, eta2_hermite_continuity, eta1_bc_type, eta2_bc_type, const_eta1_min_slope, const_eta1_max_slope, const_eta2_min_slope, const_eta2_max_slope, eta1_min_slopes, eta1_max_slopes, eta2_min_slopes, eta2_max_slopes)
subroutine	initialize_hermite_interpolator_2d (interpolator, npts1, npts2, eta1_min, eta1_max, eta2_min, eta2_max, degree1, degree2, eta1_hermite_continuity, eta2_hermite_continuity, eta1_bc_type, eta2_bc_type, const_eta1_min_slope, const_eta1_max_slope, const_eta2_min_slope, const_eta2_max_slope, eta1_min_slopes, eta1_max_slopes, eta2_min_slopes, eta2_max_slopes)
subroutine	wrap_compute_interpolants_hermite_2d (interpolator, data_array, eta1_coords, size_eta1_coords, eta2_coords, size_eta2_coords)
real(kind=f64) function	wrap_interpolate_value_hermite_2d (interpolator, eta1, eta2)
real(kind=f64) function	wrap_interpolate_deriv1_hermite_2d (interpolator, eta1, eta2)
real(kind=f64) function	wrap_interpolate_deriv2_hermite_2d (interpolator, eta1, eta2)
subroutine	wrap_interpolate_array_hermite_2d (this, num_points1, num_points2, data_in, eta1, eta2, data_out)
subroutine	wrap_interpolate2d_disp_hermite_2d (this, num_points1, num_points2, data_in, alpha1, alpha2, data_out)
subroutine	wrap_set_coefficients_hermite_2d (interpolator, coeffs_1d, coeffs_2d, coeff2d_size1, coeff2d_size2, knots1, size_knots1, knots2, size_knots2)
real(kind=f64) function, dimension(:, :), pointer	wrap_get_coefficients_hermite_2d (interpolator)
logical function	wrap_coefficients_are_set_hermite_2d (interpolator)
subroutine	delete_sll_hermite_interpolator_2d (interpolator)

Function/Subroutine Documentation

delete_sll_hermite_interpolator_2d()

subroutine sll_m_hermite_interpolator_2d::delete_sll_hermite_interpolator_2d ( class(sll_hermite_interpolator_2d), intent(inout)  interpolator )

private

Definition at line 423 of file sll_m_hermite_interpolator_2d.F90.

initialize_hermite_interpolator_2d()

subroutine sll_m_hermite_interpolator_2d::initialize_hermite_interpolator_2d ( class(sll_hermite_interpolator_2d), intent(inout)  interpolator, integer(kind=i32), intent(in)  npts1, integer(kind=i32), intent(in)  npts2, real(kind=f64), intent(in)  eta1_min, real(kind=f64), intent(in)  eta1_max, real(kind=f64), intent(in)  eta2_min, real(kind=f64), intent(in)  eta2_max, integer(kind=i32), intent(in)  degree1, integer(kind=i32), intent(in)  degree2, integer(kind=i32), intent(in)  eta1_hermite_continuity, integer(kind=i32), intent(in)  eta2_hermite_continuity, integer(kind=i32), intent(in)  eta1_bc_type, integer(kind=i32), intent(in)  eta2_bc_type, real(kind=f64), intent(in), optional  const_eta1_min_slope, real(kind=f64), intent(in), optional  const_eta1_max_slope, real(kind=f64), intent(in), optional  const_eta2_min_slope, real(kind=f64), intent(in), optional  const_eta2_max_slope, real(kind=f64), dimension(:), intent(in), optional  eta1_min_slopes, real(kind=f64), dimension(:), intent(in), optional  eta1_max_slopes, real(kind=f64), dimension(:), intent(in), optional  eta2_min_slopes, real(kind=f64), dimension(:), intent(in), optional  eta2_max_slopes  )

private

Definition at line 174 of file sll_m_hermite_interpolator_2d.F90.

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sll_f_new_hermite_interpolator_2d()

type(sll_hermite_interpolator_2d) function, pointer, public sll_m_hermite_interpolator_2d::sll_f_new_hermite_interpolator_2d	(	integer(kind=i32), intent(in)	npts1,
		integer(kind=i32), intent(in)	npts2,
		real(kind=f64), intent(in)	eta1_min,
		real(kind=f64), intent(in)	eta1_max,
		real(kind=f64), intent(in)	eta2_min,
		real(kind=f64), intent(in)	eta2_max,
		integer(kind=i32), intent(in)	degree1,
		integer(kind=i32), intent(in)	degree2,
		integer(kind=i32), intent(in)	eta1_hermite_continuity,
		integer(kind=i32), intent(in)	eta2_hermite_continuity,
		integer(kind=i32), intent(in)	eta1_bc_type,
		integer(kind=i32), intent(in)	eta2_bc_type,
		real(kind=f64), intent(in), optional	const_eta1_min_slope,
		real(kind=f64), intent(in), optional	const_eta1_max_slope,
		real(kind=f64), intent(in), optional	const_eta2_min_slope,
		real(kind=f64), intent(in), optional	const_eta2_max_slope,
		real(kind=f64), dimension(:), intent(in), optional	eta1_min_slopes,
		real(kind=f64), dimension(:), intent(in), optional	eta1_max_slopes,
		real(kind=f64), dimension(:), intent(in), optional	eta2_min_slopes,
		real(kind=f64), dimension(:), intent(in), optional	eta2_max_slopes
	)

Definition at line 99 of file sll_m_hermite_interpolator_2d.F90.

wrap_coefficients_are_set_hermite_2d()

logical function sll_m_hermite_interpolator_2d::wrap_coefficients_are_set_hermite_2d ( class(sll_hermite_interpolator_2d), intent(in)  interpolator )

private

Definition at line 413 of file sll_m_hermite_interpolator_2d.F90.

wrap_compute_interpolants_hermite_2d()

subroutine sll_m_hermite_interpolator_2d::wrap_compute_interpolants_hermite_2d ( class(sll_hermite_interpolator_2d), intent(inout)  interpolator, real(kind=f64), dimension(:, :), intent(in)  data_array, real(kind=f64), dimension(:), intent(in), optional  eta1_coords, integer(kind=i32), intent(in), optional  size_eta1_coords, real(kind=f64), dimension(:), intent(in), optional  eta2_coords, integer(kind=i32), intent(in), optional  size_eta2_coords  )

private

Definition at line 243 of file sll_m_hermite_interpolator_2d.F90.

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wrap_get_coefficients_hermite_2d()

real(kind=f64) function, dimension(:, :), pointer sll_m_hermite_interpolator_2d::wrap_get_coefficients_hermite_2d ( class(sll_hermite_interpolator_2d), intent(in)  interpolator )

private

Definition at line 402 of file sll_m_hermite_interpolator_2d.F90.

wrap_interpolate2d_disp_hermite_2d()

subroutine sll_m_hermite_interpolator_2d::wrap_interpolate2d_disp_hermite_2d ( class(sll_hermite_interpolator_2d), intent(inout)  this, integer(kind=i32), intent(in)  num_points1, integer(kind=i32), intent(in)  num_points2, real(kind=f64), dimension(:, :), intent(in)  data_in, real(kind=f64), dimension(:, :), intent(in)  alpha1, real(kind=f64), dimension(:, :), intent(in)  alpha2, real(kind=f64), dimension(num_points1, num_points2), intent(out)  data_out  )

private

Definition at line 329 of file sll_m_hermite_interpolator_2d.F90.

wrap_interpolate_array_hermite_2d()

subroutine sll_m_hermite_interpolator_2d::wrap_interpolate_array_hermite_2d ( class(sll_hermite_interpolator_2d), intent(inout)  this, integer(kind=i32), intent(in)  num_points1, integer(kind=i32), intent(in)  num_points2, real(kind=f64), dimension(:, :), intent(in)  data_in, real(kind=f64), dimension(:, :), intent(in)  eta1, real(kind=f64), dimension(:, :), intent(in)  eta2, real(kind=f64), dimension(num_points1, num_points2), intent(out)  data_out  )

private

Definition at line 301 of file sll_m_hermite_interpolator_2d.F90.

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wrap_interpolate_deriv1_hermite_2d()

real(kind=f64) function sll_m_hermite_interpolator_2d::wrap_interpolate_deriv1_hermite_2d ( class(sll_hermite_interpolator_2d), intent(in)  interpolator, real(kind=f64), intent(in)  eta1, real(kind=f64), intent(in)  eta2  )

private

Definition at line 275 of file sll_m_hermite_interpolator_2d.F90.

wrap_interpolate_deriv2_hermite_2d()

real(kind=f64) function sll_m_hermite_interpolator_2d::wrap_interpolate_deriv2_hermite_2d ( class(sll_hermite_interpolator_2d), intent(in)  interpolator, real(kind=f64), intent(in)  eta1, real(kind=f64), intent(in)  eta2  )

private

Definition at line 288 of file sll_m_hermite_interpolator_2d.F90.

wrap_interpolate_value_hermite_2d()

real(kind=f64) function sll_m_hermite_interpolator_2d::wrap_interpolate_value_hermite_2d ( class(sll_hermite_interpolator_2d), intent(in)  interpolator, real(kind=f64), intent(in)  eta1, real(kind=f64), intent(in)  eta2  )

private

Definition at line 266 of file sll_m_hermite_interpolator_2d.F90.

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wrap_set_coefficients_hermite_2d()

subroutine sll_m_hermite_interpolator_2d::wrap_set_coefficients_hermite_2d ( class(sll_hermite_interpolator_2d), intent(inout)  interpolator, real(kind=f64), dimension(:), intent(in), optional  coeffs_1d, real(kind=f64), dimension(:, :), intent(in), optional  coeffs_2d, integer(kind=i32), intent(in), optional  coeff2d_size1, integer(kind=i32), intent(in), optional  coeff2d_size2, real(kind=f64), dimension(:), intent(in), optional  knots1, integer(kind=i32), intent(in), optional  size_knots1, real(kind=f64), dimension(:), intent(in), optional  knots2, integer(kind=i32), intent(in), optional  size_knots2  )

private

Definition at line 353 of file sll_m_hermite_interpolator_2d.F90.