## The module "cumsumsq" of the Mastrave modelling library

**Daniele de Rigo**

#### Copyright and license notice of the function cumsumsq

Copyright © 2006,2007,2008,2009,2010,2011 Daniele de Rigo

The file cumsumsq.m is part of Mastrave.

Mastrave is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

Mastrave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Mastrave. If not, see http://www.gnu.org/licenses/.

#### Function declaration

answer = cumsumsq(values,dim= [] )

#### Description

Utility to extend the function sumsq(.) providing cumulative sum of
squared elements of the array ` values ` along a given dimension

`.`

**dim**

#### Input arguments

valuesVector, matrix or multi-dimensional array of numbers.::numeric::dimScalar positive integer representing the dimension along which the cumulative sum of squared elements have to be computed. If::scalar_index|empty::is an empty array [] , the dimension is the first non-singleton dimension. In casedimis a vector, this definition means that the default dimension is the one along which the elements of the vectorvaluesare aligned. If omitted, the default value is [] .values

#### Example of usage

% 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 ofv = 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) );values

Memory requirements: O( numel() ) See also: cummean, cumvar, cumstd, groupfun Keywords: cumulative operators, scan Version: 0.3.2values

#### Support

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