interpolate Interface
public interface interpolate
Public interface for various interpolation routines.
Module Procedures
public function interpolate_point_re(x, y, p) result(r)
Wrapper for interpolate_array_re that accepts scalar arguments.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| real(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
|
| real(kind=wp), | intent(in) | :: | p |
Single point p |
Return Value real(kind=wp)
Interpolation y(p)
public function interpolate_point_cx(x, y, p) result(r)
Complex version of interpolate_point_re.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| complex(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
|
| real(kind=wp), | intent(in) | :: | p |
Single point p |
Return Value complex(kind=wp)
Interpolation y(p)
public function interpolate_array_re(x, y, p) result(r)
Constructs a piecewise hermitian cubic interpolation of an array y(x) based on discrete numerical data and evaluates the interpolation at p. Note that the mesh spacing does not necessarily have to be uniform.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| real(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
|
| real(kind=wp), | intent(in), | dimension(:) | :: | p |
Point array p |
Return Value real(kind=wp), dimension(size(p))
Interpolation y(p)
public function interpolate_array_cx(x, y, p) result(r)
Complex version of interpolate_array_re.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| complex(kind=wp), | intent(in), | dimension(size(x)) | :: | y |
Function y(x) |
|
| real(kind=wp), | intent(in), | dimension(:) | :: | p |
Point array p |
Return Value complex(kind=wp), dimension(size(p))
Interpolation y(p)
public pure function interpolate_point_matrix_re(x, y, p) result(r)
Interpolates a matrix function using Catmull-Rom splines.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
Variable x |
|
| real(kind=wp), | intent(in), | dimension(:, :, :) | :: | y |
Function y(x) |
|
| real(kind=wp), | intent(in) | :: | p |
Single point p |
Return Value real(kind=wp), dimension(size(y, 1), size(y, 2))
Interpolation y(p)