The module "cumsumsq" of the Mastrave modelling library
Copyright © 2006,2007,2008,2009,2010,2011 Daniele de Rigo
The file cumsumsq.m is part of Mastrave.
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answer = cumsumsq( values , dim =  )
Utility to extend the function sumsq(.) providing cumulative sum of squared elements of the array values along a given dimension dim .
values ::numeric:: Vector, matrix or multi-dimensional array of numbers. dim ::scalar_index|empty:: Scalar positive integer representing the dimension along which the cumulative sum of squared elements have to be computed. If dim is an empty array  , the dimension is the first non-singleton dimension. In case values is a vector, this definition means that the default dimension is the one along which the elements of the vector values are aligned. If omitted, the default value is  .
% Basic usage % Vectors: v = ceil( rand(1,7)* 100 ) cs = cumsumsq( v ) assert( cs(end) == sumsq(v) ); % Matrices: v = ceil( rand(5,7)* 100 ) cs = cumsumsq( v ) assert( cs(end,:) == sumsq(v) ); % Passing a custom dimension cs = cumsumsq( v , 2 ) assert( cs(:,end) == sumsq(v,2) ); % Dealing with multi-dimensional arrays v = ceil( rand(5,7,3)* 100 ) cs = cumsumsq( v ) cs = cumsumsq( v ,  ) assert( cs(end,:,:) == sumsq(v) ); cs = cumsumsq( v , 3 ) assert( cs(:,:,end) == sumsq(v,3) ); % Complex-valued elements of values v = ceil( rand(5,7)* 100 ) +1i * ceil( rand(5,7)* 100 ) cs = cumsumsq( v ) assert( cs(end,:) == sumsq(v) ); cs = cumsumsq( v , 2 ) assert( cs(:,end) == sumsq(v,2) );
Memory requirements: O( numel( values ) ) See also: cummean, cumvar, cumstd, groupfun Keywords: cumulative operators, scan Version: 0.3.2
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