csharpfftfsharpintegrationinterpolationlinear-algebramathdifferentiationmatrixnumericsrandomregressionstatisticsmathnet
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
90 lines
3.7 KiB
90 lines
3.7 KiB
(**
|
|
IF# Notebook
|
|
============
|
|
|
|
[iPython](http://ipython.org/) provides a rich browser-based interactive notebook with support for code, text, mathematical expressions,
|
|
inline plots and other rich media. [IfSharp](https://github.com/BayardRock/IfSharp), developed by Bayard Rock, is an F# profile
|
|
for iPython with IntelliSense and embedded FSharp.Charting. Thanks to its NuGet support it can load other packages like Math.NET Numerics on demand.
|
|
|
|
|
|
|
|
|
|
Installing IF# Notebook
|
|
-----------------------
|
|
|
|
Follow the instructions at [IfSharp/Installation](http://bayardrock.github.io/IfSharp/installation.html).
|
|
|
|
Essentially:
|
|
|
|
1. Install [Anaconda](http://continuum.io/downloads)
|
|
2. In a shell, run
|
|
|
|
conda update conda
|
|
conda update ipython
|
|
|
|
3. Install [IfSharp](https://github.com/BayardRock/IfSharp/releases).
|
|
|
|
*Note that while IfSharp does have support for custom display printers in the repository,
|
|
the v2.0-Beta release does not include this yet. Until a newer release is available you may have to compile
|
|
IfSharp yourself from [master](https://github.com/BayardRock/IfSharp) and replace the installed binaries.*
|
|
|
|
|
|
Display Printers for Matrices and Vectors
|
|
-----------------------------------------
|
|
|
|
By itself IfSharp does not know how to display matrices and vectors in a nice way, but we can tell it how to do so by providing our own display printers for them.
|
|
|
|
|
|
|
|
Run the following snipped once within a notebook to render matrices and vectors with LaTeX/MathJax, and adapt it to your needs e.g. if you want it to show more rows.
|
|
Alternatively you can add it to an Includes.fsx file within the IfSharp installation to make it always available.
|
|
|
|
open MathNet.Numerics.LinearAlgebra
|
|
|
|
let inline (|Float|_|) (v:obj) =
|
|
if v :? float then Some(v :?> float) else None
|
|
let inline (|Float32|_|) (v:obj) =
|
|
if v :? float32 then Some(v :?> float32) else None
|
|
let inline (|PositiveInfinity|_|) (v: ^T) =
|
|
if (^T : (static member IsPositiveInfinity: 'T -> bool) (v))
|
|
then Some PositiveInfinity else None
|
|
let inline (|NegativeInfinity|_|) (v: ^T) =
|
|
if (^T : (static member IsNegativeInfinity: 'T -> bool) (v))
|
|
then Some NegativeInfinity else None
|
|
let inline (|NaN|_|) (v: ^T) =
|
|
if (^T : (static member IsNaN: 'T -> bool) (v))
|
|
then Some NaN else None
|
|
|
|
let inline formatMathValue (floatFormat:string) = function
|
|
| PositiveInfinity -> "\\infty"
|
|
| NegativeInfinity -> "-\\infty"
|
|
| NaN -> "\\times"
|
|
| Float v -> v.ToString(floatFormat)
|
|
| Float32 v -> v.ToString(floatFormat)
|
|
| v -> v.ToString()
|
|
|
|
let inline formatMatrix (matrix: Matrix<'T>) =
|
|
String.concat Environment.NewLine
|
|
[ "\\begin{bmatrix}"
|
|
matrix.ToMatrixString(10,4,7,2,"\\cdots","\\vdots","\\ddots",
|
|
" & ", "\\\\ " + Environment.NewLine, (fun x -> formatMathValue "G4" x))
|
|
"\\end{bmatrix}" ]
|
|
|
|
let inline formatVector (vector: Vector<'T>) =
|
|
String.concat Environment.NewLine
|
|
[ "\\begin{bmatrix}"
|
|
vector.ToVectorString(12, 80, "\\vdots", " & ", "\\\\ " + Environment.NewLine,
|
|
(fun x -> formatMathValue "G4" x))
|
|
"\\end{bmatrix}" ]
|
|
|
|
App.AddDisplayPrinter (fun (x:Matrix<float>) ->
|
|
{ ContentType = "text/latex"; Data = formatMatrix x })
|
|
App.AddDisplayPrinter (fun (x:Matrix<float32>) ->
|
|
{ ContentType = "text/latex"; Data = formatMatrix x })
|
|
App.AddDisplayPrinter (fun (x:Vector<float>) ->
|
|
{ ContentType = "text/latex"; Data = formatVector x })
|
|
App.AddDisplayPrinter (fun (x:Vector<float32>) ->
|
|
{ ContentType = "text/latex"; Data = formatVector x })
|
|
|
|
|
|
*)
|
|
|