boost/math
2
0
Fork 0
mirror of https://github.com/boostorg/math.git synced 2026-02-21 15:12:28 +00:00
Code Issues Projects Releases Wiki Activity

Cardinal trigonometric interpolation: Implement squared l2 norm.

Browse Source
This commit is contained in:
Nick Thompson
2019-07-27 21:21:33 -04:00
parent 27bc4146d9
commit efb53a3c43
3 changed files with 64 additions and 4 deletions
Download Patch File Download Diff File Expand all files Collapse all files

4
doc/interpolators/cardinal_trigonometric.qbk
View File

@@ -25,6 +25,8 @@ public:
Real period() const;
Real integrate() const;
Real squared_l2() const;
};
}}}
```
@@ -54,7 +56,7 @@ The period is always given by `v.size()*h`.
Off-by-one errors are common in programming, and hence if you wonder what this interpolator believes the period to be, you can query it with the `.period()` member function.
In addition, the transform into the trigonometric basis gives a trivial way to compute the integral of the function over a period; this is done via the `.integrate()` member function.
Evaluation of the square of the L[super 2] norm is trivial in this basis; it is computed by the `.squared_l2()` member function.
[heading Caveats]