free-vector-spaces: Instantiate the classes from the vector-space package with types from linear
The linear package offers efficient vector types — where vector means element of a free vector space, i.e. fixed-length arrays of numbers. The entire interface of that library is based on this concept of free vectors with a canonical coordinate representation.
While this is practically speaking often useful, it is also
* Questionable in terms of conceptual elegance. The idea of a vector has
originally not much to do with number-arrays; in physics a vector is just
a quantity with magnitude and direction. Only by fixing a basis can
a coordinate representation arise from that.
* Not as safe as we'd like. The typical linear-algebra languages like Matlab
or Fortran are notorious for hard-to spot mistakes that often arise from the
total reliance on coordinate representations (every vector/linear map is just
a matrix of number). linear already avoids most of these problems because
it can at least check dimensions at compile-time and usually doesn't need
any indices, but some trouble still remains. E.g., two different 3-dimensional
spaces are indistinguishable by the type system (unless you wrap one of them
in a newtype, however that also needs to be parameterised on the coordinate
type to work with the rest of the library).
The vector-space library
has arguably a better (albeit less complete) interface. To gain access to
that interface with the more efficient types from linear, we here provide
the necessary orphan instances.
Downloads
- free-vector-spaces-0.1.0.0.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)
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| Versions [RSS] | 0.1.0.0, 0.1.1.0, 0.1.2.0, 0.1.4.0, 0.1.5.0, 0.1.5.1, 0.1.5.2 |
|---|---|
| Dependencies | base (>=4.6 && <5.1), lens (>=4 && <5), linear (>=1.18 && <1.23), MemoTrie, vector-space (>=0.8 && <0.13) [details] |
| License | BSD-3-Clause |
| Author | Justus Sagemüller |
| Maintainer | (@) sagemueller $ geo.uni-koeln.de |
| Uploaded | by leftaroundabout at 2016-08-02T22:23:40Z |
| Category | Math |
| Home page | https://github.com/leftaroundabout/free-vector-spaces |
| Source repo | head: git clone git://github.com/leftaroundabout/free-vector-spaces.git |
| Distributions | |
| Reverse Dependencies | 4 direct, 4 indirect [details] |
| Downloads | 4277 total (20 in the last 30 days) |
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