NAG FL Interface
e01thf (dim3_​scat_​shep_​eval)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{m}$ – Integer Input

2: $\mathbf{x}\left(\mathbf{m}\right)$ – Real (Kind=nag_wp) array Input

3: $\mathbf{y}\left(\mathbf{m}\right)$ – Real (Kind=nag_wp) array Input

4: $\mathbf{z}\left(\mathbf{m}\right)$ – Real (Kind=nag_wp) array Input

5: $\mathbf{f}\left(\mathbf{m}\right)$ – Real (Kind=nag_wp) array Input

On entry: m, x, y, z and f must be the same values as were supplied in the preceding call to e01tgf.

6: $\mathbf{iq}\left(\mathbf{liq}\right)$ – Integer array Input

On entry: must be unchanged from the value returned from a previous call to e01tgf.

7: $\mathbf{liq}$ – Integer Input

On entry: the dimension of the array iq as declared in the (sub)program from which e01thf is called.

Constraint: $\mathbf{liq}\ge 2\times \mathbf{m}+1$.

8: $\mathbf{rq}\left(\mathbf{lrq}\right)$ – Real (Kind=nag_wp) array Input

On entry: must be unchanged from the value returned from a previous call to e01tgf.

9: $\mathbf{lrq}$ – Integer Input

On entry: the dimension of the array rq as declared in the (sub)program from which e01thf is called.

Constraint: $\mathbf{lrq}\ge 10\times \mathbf{m}+7$.

10: $\mathbf{n}$ – Integer Input

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

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

11: $\mathbf{u}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Input

12: $\mathbf{v}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Input

13: $\mathbf{w}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Input

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

14: $\mathbf{q}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

On exit: $\mathbf{q}\left(\mathit{i}\right)$ contains the value of the interpolant, at $\left(u_{\mathit{i}},v_{\mathit{i}},w_{\mathit{i}}\right)$, 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 the largest machine representable number (see x02alf), and e01thf returns with $\mathbf{ifail}=\mathbf{3}$.

15: $\mathbf{qx}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

16: $\mathbf{qy}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

17: $\mathbf{qz}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) array Output

On exit: $\mathbf{qx}\left(\mathit{i}\right)$, $\mathbf{qy}\left(\mathit{i}\right)$, $\mathbf{qz}\left(\mathit{i}\right)$ contains the value of the partial derivatives of the interpolant $Q\left(x,y,z\right)$ at $\left(u_{\mathit{i}},v_{\mathit{i}},w_{\mathit{i}}\right)$, 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 the largest machine representable number (see x02alf), and e01thf returns with $\mathbf{ifail}=\mathbf{3}$.

18: $\mathbf{ifail}$ – Integer Input/Output

On entry: ifail must be set to $0$, $-1\text{ or }1$. If you are unfamiliar with this argument you should refer to Section 4 in the Introduction to the NAG Library FL Interface for details.

For environments where it might be inappropriate to halt program execution when an error is detected, the value $-1\text{ or }1$ is recommended. If the output of error messages is undesirable, then the value $1$ is recommended. Otherwise, if you are not familiar with this argument, the recommended value is $0$. When the value $-\mathbf{1}\text{ or }\mathbf{1}$ is used it is essential to test the value of ifail on exit.

On exit: $\mathbf{ifail}=\mathbf{0}$ unless the routine detects an error or a warning has been flagged (see Section 6).

6 Error Indicators and Warnings

$\mathbf{ifail}=1$

On entry, liq is too small: $\mathbf{liq}=〈\mathit{\text{value}}〉$.

On entry, lrq is too small: $\mathbf{lrq}=〈\mathit{\text{value}}〉$.

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

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

$\mathbf{ifail}=2$

On entry, values in iq appear to be invalid. Check that iq has not been corrupted between calls to e01tgf and e01thf.

On entry, values in rq appear to be invalid. Check that rq has not been corrupted between calls to e01tgf and e01thf.

$\mathbf{ifail}=3$

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.

$\mathbf{ifail}=-99$

An unexpected error has been triggered by this routine. Please contact NAG.

See Section 7 in the Introduction to the NAG Library FL Interface for further information.

$\mathbf{ifail}=-399$

Your licence key may have expired or may not have been installed correctly.

See Section 8 in the Introduction to the NAG Library FL Interface for further information.

$\mathbf{ifail}=-999$

Dynamic memory allocation failed.

See Section 9 in the Introduction to the NAG Library FL Interface for further information.

7 Accuracy

8 Parallelism and Performance

9 Further Comments

9.1 Internal Changes

10 Example