Vector Class |
The class of vector is intended to represent algebraic vectors. We consider a vector to be a one-dimensional array of numbers.
In most descriptions the following notation is used for the vector:
are called elements of the vector u. n is the size of the vector.
In the FinMath Library Vector class is intended to work with vectors. It provides plenty of constructors and methods for implementing operations on vectors.
Vector properties
Vector constructorsConstructor | Description | Performance |
|---|---|---|
vector of zero size | ||
zero vector of the given size | ||
vector of the given size with all its elements set to the given value | ||
vector that contains elements copied from the array | ||
vector that contains elements copied from the other vector |
Static vector constructorsConstructor | Description | Performance |
|---|---|---|
vector of given size with elements uniformly distributed in [0; 1] | ||
vector of given size with elements that are sampled from the specified distribution | This method is very useful for creating a vector whose elements are distributed with some distribution. For example, we can use this method to create a vector with elements uniformly distributed in [-1, 1]. | |
vector that is a sample of given multivariate distribution | This method is useful for creating a vector that is distributed with a specified multivariate (or vector-variate) distribution. |
Code SampleThe example of Vector class usage:
1using System; 2using FinMath.LinearAlgebra; 3using FinMath.Statistics.Distributions; 4 5namespace FinMath.Samples 6{ 7 class BasicVectors 8 { 9 static void Main() 10 { 11- #region Constructing Vectors 12 13 // Way #1: no arguments. Creates a vector of length zero. 14 Vector v1 = new Vector(); 15 Console.WriteLine($"v1 = {v1}"); 16 17 // Way #1: specify the number of elements. All elements of 18 // are set to 0. 19 Vector v2 = new Vector(5); 20 Console.WriteLine($"v2 = {v2}"); 21 22 // Way #3: specify the number of elements and some value. All 23 // elements of the vector are set to the supplied value. 24 Vector v3 = new Vector(5, 1.0); 25 Console.WriteLine($"v3 = {v3}"); 26 27 // Way #4: specify the elements of the vector as a double 28 // array. The elements are copied to a storage area internal 29 // to the Vector. 30 Double[] elements = { 1.0, 2.0, 3.0, 4.0, 5.0 }; 31 Vector v4 = new Vector(elements); 32 Console.WriteLine($"v4 = {v4}"); 33 34 // Way #5: specify the ealier created vector. The elements are 35 // copied to a storage area internal to the vector. 36 Vector v5 = new Vector(v4); 37 Console.WriteLine($"v5 = {v5}"); 38 39 // Way #6: specify the univariate distribution 40 Vector v6 = Vector.Random(5, new Normal(0.0, 5.0)); 41 Console.WriteLine($"v6 = {v6:F}"); 42 Console.WriteLine(); 43 44 #endregion 45 46- #region Vector Properties 47 48 // The Count property gives the number of elements of a Vector. 49 Console.WriteLine($"v2.Count = {v2.Count}"); 50 51 #endregion 52 53- #region Accessing Vector Elements 54 55 // The Vector class defines an indexer property that takes 56 // a zero-based index. 57 Console.WriteLine($"v2[2] = {v2[2]}"); 58 // You can assign to this property. 59 v2[2] = 9.0; 60 Console.WriteLine($"v2[2] = {v2[2]}"); 61 62 #endregion 63 } 64 } 65}
See Also