// <copyright file="DenseVector.fsx" company="Math.NET">
// Math.NET Numerics, part of the Math.NET Project
// http://numerics.mathdotnet.com
// http://github.com/mathnet/mathnet-numerics
// http://mathnetnumerics.codeplex.com
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#r "../../out/debug/Net40/MathNet.Numerics.dll"
#r "../../out/debug/Net40/MathNet.Numerics.FSharp.dll"

open MathNet.Numerics.LinearAlgebra
open MathNet.Numerics.LinearAlgebra.Double

// Create a new 100 dimensional dense vector.
let v = DenseVector.init 100 (fun i -> float i / 100.0)

// Another way to create a 100 dimensional dense vector is using the vector function.
let w = vector (List.init 100 (fun i -> float i ** 2.0))

// Vectors can also be constructed from sequences.
let t = DenseVector.ofSeq (seq { for i in 1 .. 100 do yield float i })

// We can now add two vectors together ...
let z = v + w

// ... or scale them in the process.
let x = v + 3.0 * t

// We can create a vector from an integer range (in this case, 5 and 10 inclusive) ...
let s = DenseVector.range 5 10

// ... or we can create a vector from a double range with a particular step size.
let r = DenseVector.rangef 0.0 0.1 10.0