The j-th cumulative product of a vector x = (x1, x2, . . . , xn), for j n is def

Question

The j-th cumulative product of a vector x = (x1, x2, . . . , xn), for j n is defined by pj = x1 · x2 · · · xj . The cumulative product vector P contains all of the cumulative products as its elements, i.e. P = [p1 p2 . . . pn] where n is the number of elements in the vector x .

For example, the cumulative product vector P of the vector x=[3 5 8 1 2 7] is P = [ 3 15 120 120 240 1680] Write a MATLAB function calc_prod(x) that computes and returns the cumulative product vector of the vector x. You must make sure that the vector x contains only numbers and if not return an appropriate error message.

Hint : The MATLAB function isnumeric(A) returns 1 if A is a numeric array and 0 otherwise.

Explanation / Answer

function P=calc_prod(x)

     if(isnumeric(x)~=1)

          error('x must be Numeric array');

     end
     % Assign first value to output P
     P(1)=x(1);
     % start loop from 2 to number of elements in x
     for ii=2:numel(x)
        P(ii)=P(ii-1)*x(ii); % Calculate last product result*current element
     end
    

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