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The 250-line cap applies to prose too, and the reports were the worst
offenders -- ENUME's projectA.tex alone was 1,876 lines. Each is now a
preamble plus one \input{} per section, which is how a long LaTeX document is
normally organised; not one byte of prose was rewritten.
"The PDF is unchanged" is checked by a script rather than by eye, because
hashing the PDF cannot work: pdflatex stamps a /CreationDate and an /ID into
every build, so two runs of the SAME source already differ. tex_fingerprint.sh
compares what a reader sees instead -- page count plus a hash of the extracted
text -- and it is stable across rebuilds of untouched sources, which is the
property that makes it usable as a gate.
It earned its keep immediately. Both ECOTE reports quote an example LaTeX
document inside an lstlisting block, so \end{document} appears in the middle
of the file; splitting on the FIRST one stranded everything after it. Same
page count, different text, caught automatically. EOPSY lab3 exposed a second
bug: a \section{} title that runs onto the next line.
Result: 19 .tex over the cap -> 1. The survivor,
ELAC/.../03-building-nfa-...tex, is 418 lines of consecutive tikz figures
with no subsection to split on and needs a hand-placed boundary.
Verified: 29 splits across two passes (section, then subsection for the
pieces still over), every one reporting `unchanged` from
scripts/tex_fingerprint.sh --check.
Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_0172dj34FDpao6wsix8ZuCzE
80 lines
2.5 KiB
TeX
80 lines
2.5 KiB
TeX
\subsection{QRNoShifts}
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\begin{simplechar}
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\begin{lstlisting}
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function [eigenValues, whichIterationAreWeOn, Matrix] = QRNoShifts(Matrix)
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[whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix);
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[Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn);
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eigenValues = diag(Matrix)';
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displayResults(eigenValues, whichIterationAreWeOn, Matrix, startingMatrix, matlabEigen);
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end
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\end{lstlisting}
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\end{simplechar}
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\newpage
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\subsubsection{QRNoShiftsLoop}
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\begin{simplechar}
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\begin{lstlisting}
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function [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn)
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while threshold > 1e-6
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[Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn);
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end
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end
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\end{lstlisting}
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\end{simplechar}
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\subsubsection{QRNoShiftsInsideLoop}
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\begin{simplechar}
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\begin{lstlisting}
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function [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn)
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[Q, R] = gramSchmidtAlgorithm(Matrix);
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Matrix = R * Q;
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whichIterationAreWeOn = whichIterationAreWeOn + 1;
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% iterate until all non-diagonal elements are below the threshold
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matrixWithoutDiagonal = Matrix - diag(diag(Matrix)); % first diag converts Matrix
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% into vector consisting of values on the diagonal of matrix,
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% second diag converts this vector into matrix with zeros on
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% everything except diagonal
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% If we substract it from Matrix we get original Matrix with zeros
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% on a diagonal
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threshold = max(max(abs(matrixWithoutDiagonal)));
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% first max returns vector of elements
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% second max returns max element from this vector
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end
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\end{lstlisting}
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\end{simplechar}
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\newpage
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\subsubsection{displayResults}
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\begin{simplechar}
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\begin{lstlisting}
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function displayResults(eigenValues, whichIterationsAreWeOn, Matrix, startingMatrix, matlabEigen)
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disp("How many iterations it took:")
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disp(whichIterationsAreWeOn)
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disp("Starting Matrix:")
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disp(startingMatrix)
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disp("Final Matrix:")
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disp(Matrix)
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disp("eig(Matrix) eigen values:")
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disp(matlabEigen)
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disp("Our eigen values:")
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disp(eigenValues);
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end
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\end{lstlisting}
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\end{simplechar}
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\subsubsection{initializeValues}
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\begin{simplechar}
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\begin{lstlisting}
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function [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix)
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whichIterationAreWeOn = 0;
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threshold = inf;
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startingMatrix = Matrix;
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matlabEigen = eig(Matrix);
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end
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\end{lstlisting}
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\end{simplechar}
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\newpage
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