[G+smo]gsFunction

最新推荐文章于 2016-05-31 11:05:27 发布

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本文深入探讨了gsFunction在多维空间中的应用，包括如何实现它以进行函数评估，以及如何指定源和目标维度。同时介绍了不同类型的评估过程，如值评估、一阶导数评估和二阶导数评估，并阐述了模板参数的重要性。

A function from a d-dimensional domain to an m-dimensional image.

Implementations of gsFunction must at the very least implement the evaluation function gsFunction::eval_into(). It is also recommended to specify the source and target dimensions by overriding gsFunction::domainDim() and gsFunction::targetDim().

The functions for the derivatives may either be overridden or left as the default implementations, which use finite differences.

Evaluation members

All evaluation functions take a matrix u as an argument which specifies where the function should be evaluated. This matrix should have d rows, and every column specifies one point of the domain at which the function should be evaluated.

Here is an overview over the different evaluation procedures available:

Name of procedure	Evaluate what
`eval(u)`	value
`deriv(u)`	first derivative(s)
`deriv2(u)`	second derivative(s)

All evaluation functions also provide a version suffixed with _into which takes a matrix reference as an additional output parameter into which the result will be stored.

Template Parameters

T	arithmetic type