NAG Library Routine Document

D01RCF

1  Purpose

2  Specification

3  Description

4  References

5  Parameters

1:     $\mathrm{NI}$ – INTEGERInput

On entry: $n_i$, the number of integrals which will be approximated in the subsequent call to D01RAF.

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

2:     $\mathrm{LENXRQ}$ – INTEGEROutput

On exit: $\mathit{lenxrq}$, the minimum dimension of the array X that can be used in a subsequent call to D01RAF.

3:     $\mathrm{LDFMRQ}$ – INTEGEROutput

On exit: $\mathit{ldfmrq}$, the minimum leading dimension of the array FM that can be used in a subsequent call to D01RAF.

4:     $\mathrm{SDFMRQ}$ – INTEGEROutput

On exit: $\mathit{sdfmrq}$, the minimum second dimension of the array FM that can be used in a subsequent call to D01RAF.

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

5:     $\mathrm{LICMIN}$ – INTEGEROutput

On exit: $\mathit{licmin}$, the minimum dimension of the array ICOM that must be passed to D01RAF 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:     $\mathrm{LICMAX}$ – INTEGEROutput

On exit: $\mathit{licmax}$ the dimension of the array ICOM that must be passed to D01RAF 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:     $\mathrm{LCMIN}$ – INTEGEROutput

On exit: $\mathit{lcmin}$, the minimum dimension of the array COM that must be passed to D01RAF 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:     $\mathrm{LCMAX}$ – INTEGEROutput

On exit: $\mathit{lcmax}$, the dimension of the array COM that must be passed to D01RAF 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:     $\mathrm{IOPTS}\left(*\right)$ – INTEGER arrayCommunication Array

Note: the dimension 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 D01ZKF.

On entry: the integer option array as returned by D01ZKF.

Constraint: IOPTS must not be changed between calls to D01ZKF, D01ZLF, D01RCF and D01RAF.

10:   $\mathrm{OPTS}\left(*\right)$ – REAL (KIND=nag_wp) arrayCommunication Array

Note: the dimension 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 D01ZKF.

On entry: the real option array as returned by D01ZKF.

Constraint: OPTS must not be changed between calls to D01ZKF, D01ZLF, D01RCF and D01RAF.

11:   $\mathrm{IFAIL}$ – INTEGERInput/Output

On entry: IFAIL must be set to $0$, $-1\text{ or }1$. If you are unfamiliar with this parameter you should refer to Section 3.3 in the Essential Introduction 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 parameter, 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

$\mathbf{IFAIL}=21$

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

$\mathbf{IFAIL}=1001$

One of the option arrays IOPTS or OPTS has become corrupted. Re-initialize the arrays using D01ZKF.

$\mathbf{IFAIL}=-99$

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

See Section 3.8 in the Essential Introduction for further information.

$\mathbf{IFAIL}=-399$

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

See Section 3.7 in the Essential Introduction for further information.

$\mathbf{IFAIL}=-999$

Dynamic memory allocation failed.

See Section 3.6 in the Essential Introduction for further information.

7  Accuracy

8  Parallelism and Performance

9  Further Comments

10  Example