Data Analysis Mathematics Linear Algebra Statistics
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# Sorting and Filtering QuickStart Sample (F#)

Illustrates how to sort and filter data used for data analysis in F#.

```#light

open System

open System
open System.Data
open System.Data.OleDb

open Extreme.DataAnalysis
open Extreme.Mathematics
open Extreme.Statistics

// Illustrates sorting and filtering of data sets and variables.

let timeSeries =
let filename = @"..\..\..\..\Data\MicrosoftStock.xls"
let connectionString = "Provider=Microsoft.Jet.OLEDB.4.0;Data Source="+filename+";Extended Properties=\"Excel 8.0;HDR=Yes;IMEX=1\""
let ds = new DataSet()
use cnn = new OleDbConnection(connectionString)
try
cnn.Open()
with
| :? OleDbException as ex -> printfn "%s" ex.InnerException.Message
DataFrame.FromDataTable<DateTime>(ds.Tables., "Date");
let date = timeSeries.RowIndex

// The following are all equivalent ways of getting
// a strongly typed vector from a data frame:
let ``open`` = timeSeries.["Open"].As<double>()
let close = timeSeries.GetColumn("Close")
let high = timeSeries.GetColumn<double>("High")
let low = timeSeries.["Low"] :?> Vector<double>

let volume = timeSeries.["Volume"].As<double>()

// Let's print some basic statistics for the full data set:
printfn "Total # observations: %d" timeSeries.RowCount
printfn "Average volume: %.0f" (volume.Mean())
printfn "Total volume: %.0f" (volume.Sum())

//
// Filtering
//

// Use the GetRows method to select subsets of rows.

// You can use a sequence of keys:
let subset = timeSeries.GetRows(
[| new DateTime(2000,3,1); new DateTime(2000,3,2) |])

// When the index is sorted, you can use a range:
let subset2 = timeSeries.GetRows(DateTime(2000, 1, 1), DateTime(2010, 1, 1))

// Another option is to use a boolean mask. Here we select
// observations where the close price was greater
// than the open price:
let filter = Vector.GreaterThan(close, ``open``)
// Then we can use the GetRows method:
let subset3 = timeSeries.GetRows(filter)
// Data is now filtered:
printfn "Filtered # observations: %d" subset3.RowCount

// Masks can be combined using logical operations:
let volumeFilter = volume.Map(fun x -> 200e+6 <= x && x < 300e+6)
printfn "Volume filtered #: %d" (volumeFilter.CountTrue())
let intersection = Vector.And(volumeFilter, filter)
let union = Vector.Or(volumeFilter, filter)
let negation = Vector.Not(filter)

printfn "Combined filtered #: %d" (intersection.CountTrue())
let subset4 = timeSeries.GetRows(intersection)

// When the row index is ordered, it is possible
// to get the rows with the key nearest to the
// supplied keys:
let startDate = new DateTime(2001, 1, 1, 3, 0, 0)
let offsetDates = Index.CreateDateRange(startDate,
100, Recurrence.Daily)
let subset5 = timeSeries.GetNearestRows(offsetDates, Direction.Forward)

//
// Sorting
//

// The simplest way to sort data is calling the Sort method
// with the name of the variable to sort on:
let sortedSeries = timeSeries.SortBy("High", SortOrder.Descending)
let highSorted = sortedSeries.GetColumn("High").[new Range(0, 4)]
printfn "Largest 'High' values:"
printfn "%s" (highSorted.ToString("F2"))

// If you just want the largest few items in a series,
// you can use the Top or Bottom method:
printfn "%s" (high.Top(5).ToString("F2"))

printf "Press any key to exit."