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https://issues.apache.org/jira/browse/PDFBOX-1960?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13921173#comment-13921173
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John Hewson commented on PDFBOX-1960:
-------------------------------------

Yes, that appears to be the problem. Our JavaDoc has it backwards, it states 
quite clearly that the current matrix will be multiplied by the parameter so 
that {{\[this] = \[this] x \[Tx]}} which would indeed be "multiplication".

{code}
/**
 * This will take the current matrix and multipy it with a matrix that is 
passed in.
 *
 * @param b The matrix to multiply by.
 *
 * @return The result of the two multiplied matrices.
 */
public Matrix multiply( Matrix b )
{code}

If this was actually happening then the results would match that of 
{{AffineTransform#concatenate}} which performs the same operation, namely 
{{\[this] = \[this] x \[Tx]}}.

However, as we've seen "multiply" does not perform the expected multiplication 
but actually performs a "premultiply" which is {{\[this] = \[Tx] x \[this]}}. 
I've looked in the PDF spec (PDF 32000, p120) and the premultiplication is the 
correct thing to do, the PDF spec even uses the term "premultiply".

Suggestion: we should rename "multiply" to "premultiply" and fix the JavaDoc on 
Matrix's two "multiply" methods.

> Matrix is wrong
> ---------------
>
>                 Key: PDFBOX-1960
>                 URL: https://issues.apache.org/jira/browse/PDFBOX-1960
>             Project: PDFBox
>          Issue Type: Bug
>    Affects Versions: 1.8.4, 2.0.0
>            Reporter: John Hewson
>            Assignee: Maruan Sahyoun
>            Priority: Critical
>
> I've been driven insane recently by trying to get pattern fills to render 
> correctly. Patterns have their own matrix which is concatenated to the CTM 
> and no matter how I applied the transformation, the results were wrong.
> It turns out that org.apache.pdfbox.util.Matrix is not behaving as expected, 
> here's an example from a pattern I'm working on. I performed the same 
> concatenation (i.e. multiplication) using our Matrix and Java's 
> AffineTransform, the results are as follows:
> Java AffineTransform:
> [[2.0, 0.0, 1.251E-12], [0.0, 2.0, 1684.0]] *
> [[0.6, 0.0, 302.6], [0.0, 0.6, 1091.38]] =
> [[1.2, 0.0, 605.2000000000013], [0.0, 1.2, 3866.76]]
> PDFBox Matrix:
> [[2.0,0.0,0.0][0.0,2.0,0.0][1.251E-12,1684.0,1.0]] *
> [[0.6,0.0,0.0][0.0,0.6,0.0][302.6,1091.38,1.0]] =
> [[1.2,0.0,0.0][0.0,1.2,0.0][302.6,2101.78,1.0]]
> I suggest that we remove Matrix and replace it with AffineTransform.



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