NAG CL Interface
e01thc (dim3_​scat_​shep_​eval)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{m}$ – Integer Input

2: $\mathbf{x}\left[\mathbf{m}\right]$ – const double Input

3: $\mathbf{y}\left[\mathbf{m}\right]$ – const double Input

4: $\mathbf{z}\left[\mathbf{m}\right]$ – const double Input

5: $\mathbf{f}\left[\mathbf{m}\right]$ – const double Input

On entry: m, x, y, z and f must be the same values as were supplied in the preceding call to e01tgc.

6: $\mathbf{iq}\left[\mathit{dim}\right]$ – const Integer Input

On entry: must be unchanged from the value returned from a previous call to e01tgc.

7: $\mathbf{rq}\left[\mathit{dim}\right]$ – const double Input

On entry: must be unchanged from the value returned from a previous call to e01tgc.

8: $\mathbf{n}$ – Integer Input

On entry: $n$, the number of evaluation points.

Constraint: $\mathbf{n}\ge 1$.

9: $\mathbf{u}\left[\mathbf{n}\right]$ – const double Input

10: $\mathbf{v}\left[\mathbf{n}\right]$ – const double Input

11: $\mathbf{w}\left[\mathbf{n}\right]$ – const double Input

On entry: $\mathbf{u}\left[\mathit{i}-1\right]$, $\mathbf{v}\left[\mathit{i}-1\right]$, $\mathbf{w}\left[\mathit{i}-1\right]$ must be set to the evaluation point $(u_{\mathit{i}},v_{\mathit{i}},w_{\mathit{i}})$, for $\mathit{i}=1,2,\dots ,n$.

12: $\mathbf{q}\left[\mathbf{n}\right]$ – double Output

On exit: $\mathbf{q}\left[\mathit{i}-1\right]$ contains the value of the interpolant, at $(u_{\mathit{i}},v_{\mathit{i}},w_{\mathit{i}})$, for $\mathit{i}=1,2,\dots ,n$. If any of these evaluation points lie outside the region of definition of the interpolant the corresponding entries in q are set to an extrapolated approximation, and e01thc returns with $\mathbf{fail}\mathbf{.}\mathbf{code}=$ NE_BAD_POINT.

13: $\mathbf{qx}\left[\mathbf{n}\right]$ – double Output

14: $\mathbf{qy}\left[\mathbf{n}\right]$ – double Output

15: $\mathbf{qz}\left[\mathbf{n}\right]$ – double Output

On exit: $\mathbf{qx}\left[\mathit{i}-1\right]$, $\mathbf{qy}\left[\mathit{i}-1\right]$, $\mathbf{qz}\left[\mathit{i}-1\right]$ contains the value of the partial derivatives of the interpolant $Q(x,y,z)$ at $(u_{\mathit{i}},v_{\mathit{i}},w_{\mathit{i}})$, for $\mathit{i}=1,2,\dots ,n$. If any of these evaluation points lie outside the region of definition of the interpolant, the corresponding entries in qx, qy and qz are set to extrapolated approximations to the partial derivatives, and e01thc returns with $\mathbf{fail}\mathbf{.}\mathbf{code}=$ NE_BAD_POINT.

16: $\mathbf{fail}$ – NagError * Input/Output

The NAG error argument (see Section 7 in the Introduction to the NAG Library CL Interface).

6 Error Indicators and Warnings

NE_ALLOC_FAIL

Dynamic memory allocation failed.
See Section 3.1.2 in the Introduction to the NAG Library CL Interface for further information.

NE_BAD_PARAM

On entry, argument $⟨\mathit{\text{value}}⟩$ had an illegal value.

NE_BAD_POINT

On entry, at least one evaluation point lies outside the region of definition of the interpolant. At such points the corresponding values in q and qx contain extrapolated approximations. Points should be evaluated one by one to identify extrapolated values.

NE_INT

On entry, $\mathbf{m}=⟨\mathit{\text{value}}⟩$.
Constraint: $\mathbf{m}\ge 10$.

On entry, $\mathbf{n}=⟨\mathit{\text{value}}⟩$.
Constraint: $\mathbf{n}\ge 1$.

NE_INT_ARRAY

On entry, values in iq appear to be invalid. Check that iq has not been corrupted between calls to e01tgc and e01thc.

NE_INTERNAL_ERROR

An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.
See Section 7.5 in the Introduction to the NAG Library CL Interface for further information.

NE_NO_LICENCE

Your licence key may have expired or may not have been installed correctly.
See Section 8 in the Introduction to the NAG Library CL Interface for further information.

NE_REAL_ARRAY

On entry, values in rq appear to be invalid. Check that rq has not been corrupted between calls to e01tgc and e01thc.

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example