    @linearize(nim, tol:numeric)

build a new nim that approximates the argument. The new nim uses only linear interpolation and homogeneous breakpoints. An adaptive sampling step achieves an approximation within `tol` (i.e. for any point in the domain, the images of the nim argument and the image of the resulting nim are withing `tol`) .

The result is a linear homogeneous nim.

The application of the `@linearize` function can be time consuming and care must be taken to not perturb the real-time computations, e.g., by precomputing the linearization: see [eval_when_load] clause and function @loadvalue.

See also @align_breakpoints, @sample and the nim simplification functions: @simplify_radial_distance_t, @simplify_radial_distance_v, @simplify_lang_v, @filter_median_t, @filter_min_t, @filter_max_t, @window_filter_t

In the figure below, the diagram at the top left shows a vectorial nim with two components:

- the effect of `@sample` is pictured at top right,

- the effect of `@align_breakpoints` is sketched at bottom left,

- and the effect of `@linearize` is illustrated at bottom right.

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