Multiplication tables: Difference between revisions
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→{{header|MATLAB}}: Optimized the solution code |
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=={{header|MATLAB}}== |
=={{header|MATLAB}}== |
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timesTable.m: (creates Times Table of N degree) |
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function M=timestable(N) |
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A=zeros(N+1,N+1); |
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B=zeros(N+1,N+1); |
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C=zeros(N+1,N+1); |
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for i=1:N |
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A(i+1,1)=i; |
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for j=1:N |
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A(1,j+1)=j; |
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B(i+1,j+1)=i*j; |
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end |
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i=1; |
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for j=1:N |
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C(i,j)=1; |
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end |
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j=1; |
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for i=1:N+1 |
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C(i,j)=1; |
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end |
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for i=2:N+1 |
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for j=2:N+1 |
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if i<=j |
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C(i,j)=1; |
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end |
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M=A+(B.*C); |
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<lang MATLAB>function table = timesTable(N) |
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for N=12 |
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table = [(0:N); (1:N)' triu( kron((1:N),(1:N)') )]; |
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<lang> |
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>>timestable(12) |
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A minimally vectorized version of the above code: |
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<lang MATLAB>function table = timesTable(N) |
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%Generates a column vector with intigers from 1 to N |
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rowLabels = (1:N)'; |
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%Generate a row vector with integers from 0 to N |
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columnLabels = (0:N); |
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%Generate the multiplication table using the kronecker tensor product |
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%of two vectors one a column vector and the other a row vector |
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table = kron((1:N),(1:N)'); |
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%Make it upper triangular and concatenate the rowLabels and |
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%columnLabels to the table |
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table = [columnLabels; rowLabels triu(table)]; |
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For N=12 the output is: |
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<lang MATLAB>timesTable(12) |
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ans = |
ans = |
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