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@ -29,6 +29,8 @@ This module contains some useful classes and functions for dealing with linear a
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- returns a unit basis vector with a One at index 'pos' (indexing at 0)
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- function axpy(scalar,vector1,vector2)
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- computes the axpy operation
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- function randomVector(N,a,b)
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- returns a random vector of size N, with random integer components between 'a' and 'b'.
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- class Matrix
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- This class represents a matrix of arbitrary size and operations on it.
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@ -45,6 +47,8 @@ This module contains some useful classes and functions for dealing with linear a
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- operator - _ implements the matrix-subtraction
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- function squareZeroMatrix(N)
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- returns a square zero-matrix of dimension NxN
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- function randomMatrix(W,H,a,b)
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- returns a random matrix WxH with integer components between 'a' and 'b'
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---
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## Documentation
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@ -14,12 +14,15 @@ Overview:
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- function zeroVector(dimension)
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- function unitBasisVector(dimension,pos)
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- function axpy(scalar,vector1,vector2)
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- function randomVector(N,a,b)
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- class Matrix
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- squareZeroMatrix(N)
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- function squareZeroMatrix(N)
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- function randomMatrix(W,H,a,b)
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"""
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import math
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import random
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class Vector(object):
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@ -196,6 +199,20 @@ def axpy(scalar,x,y):
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return (x*scalar + y)
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def randomVector(N,a,b):
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"""
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input: size (N) of the vector.
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random range (a,b)
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output: returns a random vector of size N, with
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random integer components between 'a' and 'b'.
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"""
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ans = zeroVector(N)
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random.seed(None)
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for i in range(N):
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ans.changeComponent(i,random.randint(a,b))
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return ans
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class Matrix(object):
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"""
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class: Matrix
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@ -330,3 +347,18 @@ def squareZeroMatrix(N):
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return Matrix(ans,N,N)
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def randomMatrix(W,H,a,b):
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"""
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returns a random matrix WxH with integer components
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between 'a' and 'b'
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"""
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matrix = []
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random.seed(None)
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for i in range(H):
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row = []
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for j in range(W):
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row.append(random.randint(a,b))
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matrix.append(row)
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return Matrix(matrix,W,H)
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