2 people like it.

Plotly - Vector Field

Plot the vector field v = ( y, -x ) using FSharp.Plotly

 1: 
 2: 
 3: 
 4: 
 5: 
 6: 
 7: 
 8: 
 9: 
10: 
11: 
12: 
13: 
14: 
15: 
16: 
17: 
18: 
19: 
#r "FSharp.Plotly.dll"
open FSharp.Plotly

let vectors = [|
    for x in -2.0 .. 0.25 .. 2.0 do
        for y in -2.0 .. 0.25 .. 2.0 do
            let s = 0.1
            let vX, vY = y, -x
            let mag = sqrt( vX**2.0 + vY**2.0  )
            let vX, vY = s * vX / mag, s * vY / mag
            yield (x, x+vX , y, y+vY)   |]
let vectorsShapes = vectors |> Array.map (fun (x0, x1 , y0, y1) -> Shape.init( StyleParam.ShapeType.Line, x0, x1 , y0, y1 ))
let vectorsTips = vectors |> Array.map (fun (x0, x1 , y0, y1) -> x1, y1 )

vectorsTips
|> Chart.Point
|> Chart.withShapes vectorsShapes
|> Chart.withSize (1000.0, 1000.0)
|> Chart.Show
Multiple items
namespace FSharp

--------------------
namespace Microsoft.FSharp
namespace FSharp.Plotly
val vectors : (float * float * float * float) []
val x : float
val y : float
val s : float
val vX : float
val vY : float
val mag : float
val sqrt : value:'T -> 'U (requires member Sqrt)
val vectorsShapes : Shape []
module Array

from Microsoft.FSharp.Collections
val map : mapping:('T -> 'U) -> array:'T [] -> 'U []
val x0 : float
val x1 : float
val y0 : float
val y1 : float
Multiple items
type Shape =
  inherit DynamicObj
  new : unit -> Shape
  static member init : ?ShapeType:ShapeType * ?X0:'a * ?X1:'b * ?Y0:'c * ?Y1:'d * ?Path:'e * ?Opacity:'f * ?Line:Line * ?Fillcolor:'g * ?Layer:Layer * ?Xref:'h * ?Yref:'i -> Shape
  static member style : ?ShapeType:ShapeType * ?X0:'a0 * ?X1:'a1 * ?Y0:'a2 * ?Y1:'a3 * ?Path:'a4 * ?Opacity:'a5 * ?Line:Line * ?Fillcolor:'a6 * ?Layer:Layer * ?Xref:'a7 * ?Yref:'a8 -> (Shape -> Shape)

--------------------
new : unit -> Shape
static member Shape.init : ?ShapeType:StyleParam.ShapeType * ?X0:'a * ?X1:'b * ?Y0:'c * ?Y1:'d * ?Path:'e * ?Opacity:'f * ?Line:Line * ?Fillcolor:'g * ?Layer:StyleParam.Layer * ?Xref:'h * ?Yref:'i -> Shape
module StyleParam

from FSharp.Plotly
type ShapeType =
  | Circle
  | Rectangle
  | SvgPath
  | Line
    static member convert : (ShapeType -> obj)
    static member toString : (ShapeType -> string)
union case StyleParam.ShapeType.Line: StyleParam.ShapeType
val vectorsTips : (float * float) []
type Chart =
  static member Area : xy:seq<#IConvertible * #IConvertible> * ?Name:string * ?ShowMarkers:bool * ?Showlegend:bool * ?MarkerSymbol:Symbol * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Dash:DrawingStyle * ?Width:'a4 -> GenericChart
  static member Area : x:seq<#IConvertible> * y:seq<#IConvertible> * ?Name:string * ?ShowMarkers:bool * ?Showlegend:bool * ?MarkerSymbol:Symbol * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Dash:DrawingStyle * ?Width:'a4 -> GenericChart
  static member Bar : keysvalues:seq<#IConvertible * #IConvertible> * ?Name:string * ?Showlegend:bool * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Marker:Marker -> GenericChart
  static member Bar : keys:seq<#IConvertible> * values:seq<#IConvertible> * ?Name:string * ?Showlegend:bool * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Marker:Marker -> GenericChart
  static member BoxPlot : xy:seq<'a0 * 'a1> * ?Name:string * ?Showlegend:bool * ?Color:'a2 * ?Fillcolor:'a3 * ?Opacity:float * ?Whiskerwidth:'a4 * ?Boxpoints:Boxpoints * ?Boxmean:BoxMean * ?Jitter:'a5 * ?Pointpos:'a6 * ?Orientation:Orientation -> GenericChart
  static member BoxPlot : ?x:'a0 * ?y:'a1 * ?Name:string * ?Showlegend:bool * ?Color:'a2 * ?Fillcolor:'a3 * ?Opacity:float * ?Whiskerwidth:'a4 * ?Boxpoints:Boxpoints * ?Boxmean:BoxMean * ?Jitter:'a5 * ?Pointpos:'a6 * ?Orientation:Orientation -> GenericChart
  static member Bubble : xysizes:seq<#IConvertible * #IConvertible * #IConvertible> * ?Name:string * ?Showlegend:bool * ?MarkerSymbol:Symbol * ?Color:'a3 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font -> GenericChart
  static member Bubble : x:seq<#IConvertible> * y:seq<#IConvertible> * sizes:seq<#IConvertible> * ?Name:string * ?Showlegend:bool * ?MarkerSymbol:Symbol * ?Color:'a3 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font -> GenericChart
  static member ChoroplethMap : locations:seq<string> * z:seq<#IConvertible> * ?Text:seq<#IConvertible> * ?Locationmode:LocationFormat * ?Autocolorscale:bool * ?Colorscale:Colorscale * ?Colorbar:'a2 * ?Marker:Marker * ?Zmin:'a3 * ?Zmax:'a4 -> GenericChart
  static member Column : keysvalues:seq<#IConvertible * #IConvertible> * ?Name:string * ?Showlegend:bool * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#IConvertible> * ?TextPosition:TextPosition * ?TextFont:Font * ?Marker:Marker -> GenericChart
  ...
static member Chart.Point : xy:seq<#System.IConvertible * #System.IConvertible> * ?Name:string * ?Showlegend:bool * ?MarkerSymbol:StyleParam.Symbol * ?Color:'c * ?Opacity:float * ?Labels:seq<#System.IConvertible> * ?TextPosition:StyleParam.TextPosition * ?TextFont:Font -> GenericChart.GenericChart
static member Chart.Point : x:seq<#System.IConvertible> * y:seq<#System.IConvertible> * ?Name:string * ?Showlegend:bool * ?MarkerSymbol:StyleParam.Symbol * ?Color:'a2 * ?Opacity:float * ?Labels:seq<#System.IConvertible> * ?TextPosition:StyleParam.TextPosition * ?TextFont:Font -> GenericChart.GenericChart
static member Chart.withShapes : shapes:seq<Shape> -> (GenericChart.GenericChart -> GenericChart.GenericChart)
static member Chart.withSize : width:float * heigth:float -> (GenericChart.GenericChart -> GenericChart.GenericChart)
static member Chart.Show : ch:GenericChart.GenericChart -> unit
Raw view Test code New version

More information

Link:http://fssnip.net/80Y
Posted:6 months ago
Author:AutoLolita
Tags: #chart , #graph , #plotly , #vector field , #plotting