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Chebyshev approximation.
Chebyshev approximation in Nim
This module implements Chebyshev polynomial approximation to an
interval of a function. The approximation works for a single
variable, and also for large scale sparse matrix operations as
well.
User has to define a set of operations, sepcifically, apply,
assign, and newOneOf, to be able to use the interface. When
concept in Nim matures, we will use concept to enforce those.
See the end of the source code of this module for examples of use
cases.
Types
Chebyshev = object
coef*: seq[float] ## Coefficients.
center*, halfwidth*: float ## Center and half width of the approximation interval.
degree*: int ## Degree of the approximation.
Parameters for Chebyshev approximation.
Templates
template newChebyshev(ab: Slice[float]; n: int; fx: untyped): Chebyshev
Create a Chebyshev object with computed coefficients, given
the interval as in [a, b], maximum degree n, and the
function, fx given as an expression of type float, which uses
x as the parameter of type float.
template apply(chebyshev: Chebyshev; res: typed; op: typed; arg: typed)
Apply the chebyshev approximation of an Operator, op, on an
argument arg. The return type is the same as the arg. A proc
apply must be defined for op, as op.apply(output,intput).
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Last synced: 2024-04-19 01:02:03 UTC