NAG CL Interface
d02uzc (bvp_​ps_​lin_​cheb_​eval)

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

1: $\mathbf{k}$ – Integer Input

On entry: the order of the Chebyshev polynomial.

Constraint: $\mathbf{k}\ge 0$.

2: $\mathbf{x}$ – double Input

On entry: the point at which to evaluate the polynomial.

Constraint: $-1.0\le \mathbf{x}\le 1.0$.

3: $\mathbf{t}$ – double * Output

On exit: the value, $T$, of the Chebyshev polynomial order $k$ evaluated at $x$.

4: $\mathbf{fail}$ – 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_INT

On entry, $\mathbf{k}=⟨\mathit{\text{value}}⟩$.
Constraint: $\mathbf{k}\ge 0$.

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.
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

On entry, $\mathbf{x}=⟨\mathit{\text{value}}⟩$.
Constraint: $-1.0\le \mathbf{x}\le 1.0$.

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example

10.1 Program Text

10.2 Program Data

10.3 Program Results