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).
linearalready 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.
|Versions [faq]||0.1.0.0, 0.1.1.0, 0.1.2.0, 0.1.4.0, 0.1.5.0|
|Dependencies||base (>=4.6 && <5.1), lens (==4.*), linear (>=1.18 && <1.23), MemoTrie, vector, vector-space (>=0.8 && <0.13) [details]|
|Maintainer||(@) sagemueller $ geo.uni-koeln.de|
|Source repo||head: git clone git://github.com/leftaroundabout/free-vector-spaces.git|
|Uploaded||by leftaroundabout at Tue Jan 24 10:55:33 UTC 2017|
|Downloads||1347 total (50 in the last 30 days)|
|Rating||(no votes yet) [estimated by rule of succession]|
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