Problem 591. Create a patchwork matrix

Created by Nicholas Howe

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This function will assemble a large matrix out of a number of smaller ones m1, m2, etc., according to a pattern P. If P is 3x5, then the large matrix will be three times as tall as the small ones, and five times as wide. The small matrices must always have the same dimensions as one another.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The pattern P will be a matrix of integers, each no larger than the number of small matrices provided. Each element in P identifies the small matrix that should be used to fill the corresponding positions in the large matrix. A zero in P indicates that the corresponding patch of the large matrix should be filled with zeros, a 1 indicates it should be filled with m1, etc. Each small matrix may be used more than once, or not at all.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example, if P = [1 0; 1 2], m1 = eye(2), and m2 = ones(2), then the large matrix M should be</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[M =\n   1     0     0     0\n   0     1     0     0\n   1     0     1     1\n   0     1     1     1]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

171 Solutions
78 Solvers

Last Solution submitted on Aug 23, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

shahriar memaran on 2 Apr 2017

get to know varargin because of this problem. Thanks!

Solution Comments

Solution 77697

1 Comment

1 Comment

@bmtran (Bryant Tran) on 18 Apr 2012

this wouldn't work if there were any nan or infs in varargin{1}

Solution 77522

2 Comments

2 Comments

Nicholas Howe on 17 Apr 2012

Of course there's already a function that does that... :-P

@bmtran (Bryant Tran) on 18 Apr 2012

does what?

Problem Recent Solvers78

Problem Tags

matrix assembly

Problem 591. Create a patchwork matrix

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers78

Suggested Problems

More from this Author11

Problem Tags

Problem 591. Create a patchwork matrix

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers78

Suggested Problems

More from this Author11

Problem Tags

Players