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**An Object Oriented Bidirectional Compiler**
Bidirectional Comilers (BdX) Have the property of taking a source code. Transform to another representation like tree, a diagram an other language. And then modify the target language and get back the code transparently.
However, most of the research on bidirectional compiles has been done in Functional programming languages with only one paper allowing for the translation Between a subsect of Java and HTML.
So the question is: Can an industrial language OOP language like Eiffel offer advantages for the creation of BiDirectional compilers?
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\begin{equation} \iint xy^2,dx,dy = \frac{1}{6}x^2y^3 \end{equation}
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\begin{equation} u=\frac{-y}{x^2+y^2},,\quad v=\frac{x}{x^2+y^2},,\quad\text{and}\quad w=0,. \end{equation}
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\begin{equation} \begin{bmatrix} 1 & x & 0 \ 0 & 1 & -1 \end{bmatrix}\begin{bmatrix} 1 \ y \ 1 \end{bmatrix} =\begin{bmatrix} 1+xy \ y-1 \end{bmatrix}. \end{equation}
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