9 Commits

Author	SHA1	Message	Date
Nick Thompson	9b14fff12e	Remove header deprecation warnings.	2019-08-10 08:50:12 -04:00
NAThompson	edfb80e76d	Cubic B-spline second derivatives	2019-08-07 14:10:08 -04:00
jzmaddock	1783c3a74c	Math: Fix inspection report errors.	2017-11-09 19:39:32 +00:00
jzmaddock	127178518d	Add iterator based construction to cubic B spline.	2017-05-03 13:07:54 +01:00
Nick Thompson	4632cb1169	Remove typos in documentation. Remove hacks for float128 in unit tests.	2017-05-02 10:33:36 -06:00
Nick Thompson	4efe710855	Add tests detailing the use cases which make it difficult to use std::unique_ptr for pimpl idiom. Also, test that evaluating the spline outside the interpolation region succeeds as best it can.	2017-03-06 11:12:51 -06:00
Nick Thompson	2506d7ed1f	Use PIMPL so that the interpolant can be passed as a functor.	2017-03-02 17:16:21 -06:00
Nick Thompson	2b9d88d352	Fixes suggested by code review of PR #57.	2017-03-02 11:54:55 -06:00
Nick Thompson	fee20ab932	Given a function f, known at evenly spaced samples y_j = f(a + jh), ... this function constructs an interpolant using compactly supported cubic b splines. The advantage of using splines of compact support over traditional cubic splines is that compact support makes the splines well-conditioned. The interpolant is constructed in O(N) time and can be evaluated in constant time. Its error is O(h^4), and obeys the interpolating condition s(x_j) = f(x_j) for all samples. In addition, f' can be estimated from s', albeit with lower accuracy. This routine is cppcheck clean, and is clean under AddressSanitizer and MemorySanitizer.	2017-02-23 18:21:06 -06:00