NAG Library Function Document

nag_quad_1d_gen_vec_multi_dimreq (d01rcc)

1  Purpose

2  Specification

3  Description

4  References

5  Arguments

1:    $\mathbf{ni}$ – IntegerInput

On entry: $n_i$, the number of integrals which will be approximated in the subsequent call to nag_quad_1d_gen_vec_multi_rcomm (d01rac).

Constraint: $\mathbf{ni}>0$.

2:    $\mathbf{lenxrq}$ – Integer *Output

On exit: $\mathit{lenxrq}$, the minimum dimension of the array x that can be used in a subsequent call to nag_quad_1d_gen_vec_multi_rcomm (d01rac).

3:    $\mathbf{ldfmrq}$ – Integer *Output

On exit: $\mathit{ldfmrq}$, the minimum stride separating row elements of the matrix of values stored in the array fm that can be used in a subsequent call to nag_quad_1d_gen_vec_multi_rcomm (d01rac).

4:    $\mathbf{sdfmrq}$ – Integer *Output

On exit: $\mathit{sdfmrq}$, the minimum number of columns of the matrix of values stored in the array fm that can be used in a subsequent call to nag_quad_1d_gen_vec_multi_rcomm (d01rac).

Note: the minimum dimension of the array fm is $\mathit{ldfmrq}\times \mathit{sdfmrq}$.

5:    $\mathbf{licmin}$ – Integer *Output

On exit: $\mathit{licmin}$, the minimum dimension of the array icom that must be passed to nag_quad_1d_gen_vec_multi_rcomm (d01rac) to enable it to calculate a single approximation to all the $n_i$ integrals over the interval $\left[a,b\right]$ with $s_{\mathit{pri}}$ initial segments.

6:    $\mathbf{licmax}$ – Integer *Output

On exit: $\mathit{licmax}$ the dimension of the array icom that must be passed to nag_quad_1d_gen_vec_multi_rcomm (d01rac) to enable it to exhaust the adaptive process controlled by the currently set options for the $n_i$ integrals over the interval $\left[a,b\right]$ with $s_{\mathit{pri}}$ initial segments.

7:    $\mathbf{lcmin}$ – Integer *Output

On exit: $\mathit{lcmin}$, the minimum dimension of the array com that must be passed to nag_quad_1d_gen_vec_multi_rcomm (d01rac) to enable it to calculate a single approximation to all the $n_i$ integrals over the interval $\left[a,b\right]$ with $s_{\mathit{pri}}$ initial segments.

8:    $\mathbf{lcmax}$ – Integer *Output

On exit: $\mathit{lcmax}$, the dimension of the array com that must be passed to nag_quad_1d_gen_vec_multi_rcomm (d01rac) to enable it to exhaust the adaptive process controlled by the currently set options for the $n_i$ integrals over the interval $\left[a,b\right]$ with $s_{\mathit{pri}}$ initial segments.

9:    $\mathbf{iopts}\left[\mathit{dim}\right]$ – const IntegerCommunication Array

Note: the dimension, $\mathit{dim}$, of this array is dictated by the requirements of associated functions that must have been previously called. This array MUST be the same array passed as argument iopts in the previous call to nag_quad_opt_set (d01zkc).

On entry: the integer option array as returned by nag_quad_opt_set (d01zkc).

Constraint: iopts must not be changed between calls to nag_quad_opt_set (d01zkc), nag_quad_opt_get (d01zlc), nag_quad_1d_gen_vec_multi_dimreq (d01rcc) and nag_quad_1d_gen_vec_multi_rcomm (d01rac).

10:  $\mathbf{opts}\left[\mathit{dim}\right]$ – const doubleCommunication Array

Note: the dimension, $\mathit{dim}$, of this array is dictated by the requirements of associated functions that must have been previously called. This array MUST be the same array passed as argument opts in the previous call to nag_quad_opt_set (d01zkc).

On entry: the real option array as returned by nag_quad_opt_set (d01zkc).

Constraint: opts must not be changed between calls to nag_quad_opt_set (d01zkc), nag_quad_opt_get (d01zlc), nag_quad_1d_gen_vec_multi_dimreq (d01rcc) and nag_quad_1d_gen_vec_multi_rcomm (d01rac).

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

The NAG error argument (see Section 3.6 in the Essential Introduction).

6  Error Indicators and Warnings

NE_ALLOC_FAIL

Dynamic memory allocation failed.
See Section 3.2.1.2 in the Essential Introduction for further information.

NE_BAD_PARAM

On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.

NE_INT

On entry, $\mathbf{ni}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{ni}>0$.

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.

An unexpected error has been triggered by this function. Please contact NAG.
See Section 3.6.6 in the Essential Introduction for further information.

NE_INVALID_OPTION

One of the option arrays iopts or opts has become corrupted. Re-initialize the arrays using nag_quad_opt_set (d01zkc).

NE_NO_LICENCE

Your licence key may have expired or may not have been installed correctly.
See Section 3.6.5 in the Essential Introduction for further information.

7  Accuracy

8  Parallelism and Performance

9  Further Comments

10  Example