Merge pull request #261 from christianbender/added_linearAlgebra

added two new functions

Author: harshildarji

linear-algebra-python/README.md

@@ -29,6 +29,8 @@ This module contains some useful classes and functions for dealing with linear a
  - returns a unit basis vector with a One at index 'pos' (indexing at 0) 
 - function axpy(scalar,vector1,vector2) 
  - computes the axpy operation 
+- function randomVector(N,a,b)
+ - returns a random vector of size N, with random integer components between 'a' and 'b'.
 - class Matrix
  - This class represents a matrix of arbitrary size and operations on it.
 
@@ -45,6 +47,8 @@ This module contains some useful classes and functions for dealing with linear a
  - operator - _ implements the matrix-subtraction 
 - function squareZeroMatrix(N) 
  - returns a square zero-matrix of dimension NxN 
+- function randomMatrix(W,H,a,b) 
+ - returns a random matrix WxH with integer components between 'a' and 'b' 
 ---
 
 ## Documentation 

linear-algebra-python/src/lib.py

@@ -14,12 +14,15 @@
 - function zeroVector(dimension)
 - function unitBasisVector(dimension,pos)
 - function axpy(scalar,vector1,vector2)
+- function randomVector(N,a,b)
 - class Matrix
-- squareZeroMatrix(N)
+- function squareZeroMatrix(N)
+- function randomMatrix(W,H,a,b)
 """
 
 
 import math
+import random
 
 
 class Vector(object):
@@ -196,6 +199,20 @@ def axpy(scalar,x,y):
  return (x*scalar + y)
 
 
+def randomVector(N,a,b):
+ """
+ input: size (N) of the vector.
+ random range (a,b)
+ output: returns a random vector of size N, with 
+ random integer components between 'a' and 'b'.
+ """
+ ans = zeroVector(N)
+ random.seed(None)
+ for i in range(N):
+ ans.changeComponent(i,random.randint(a,b))
+ return ans
+
+
 class Matrix(object):
  """
  class: Matrix
@@ -328,5 +345,20 @@ def squareZeroMatrix(N):
  row.append(0)
  ans.append(row)
  return Matrix(ans,N,N)
+ 
+ 
+def randomMatrix(W,H,a,b):
+ """
+ returns a random matrix WxH with integer components
+ between 'a' and 'b'
+ """
+ matrix = []
+ random.seed(None)
+ for i in range(H):
+ row = []
+ for j in range(W):
+ row.append(random.randint(a,b))
+ matrix.append(row)
+ return Matrix(matrix,W,H)