From 5397788ef9b387267eaadee682f2b50bc3503de3 Mon Sep 17 00:00:00 2001
From: vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>
Date: Thu, 7 Jun 2018 14:24:11 +0000
Subject: Fix alpha complex user pseudo code on documentation

git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@3565 636b058d-ea47-450e-bf9e-a15bfbe3eedb

Former-commit-id: 4b4300ef95fac962dd2c4d6a44c5c9f80ca6bc4a
---
 src/Alpha_complex/doc/Intro_alpha_complex.h | 80 +++++++++--------------------
 1 file changed, 23 insertions(+), 57 deletions(-)

(limited to 'src/Alpha_complex/doc/Intro_alpha_complex.h')

diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h
index 2d55c710..7a375c9f 100644
--- a/src/Alpha_complex/doc/Intro_alpha_complex.h
+++ b/src/Alpha_complex/doc/Intro_alpha_complex.h
@@ -93,63 +93,29 @@ namespace alpha_complex {
  * \image html "alpha_complex_doc.png" "Simplicial complex structure construction example"
  *
  * \subsection filtrationcomputation Filtration value computation algorithm
- *
- *
- *
- * <ul>
- *   <li style="list-style-type: none;">\f$ \textbf{for } i : dimension \rightarrow 0 \textbf{ do} \f$
- *     <ul>
- *       <li style="list-style-type: none;">\f$\textbf{for all } \sigma of dimension i \f$
- *         <ul>
- *           <li style="list-style-type: none;">\f$\textbf{if } filtration( \sigma ) is NaN \textbf{ then} \f$
- *             <ul>
- *               <li style="list-style-type: none;">\f$ filtration( \sigma ) = \alpha^2( \sigma ) \f$
- *               </li>
- *             </ul>
- *           </li>
- *           <li style="list-style-type: none;">\f$\textbf{end if}\f$
- *           </li>
- *           <li style="list-style-type: none;">\f$\textbf{for all } \tau face of \sigma \textbf{ do} \f$
- *             &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;// propagate alpha filtration value
- *             <ul>
- *               <li style="list-style-type: none;">\f$\textbf{if } filtration( \tau ) is not NaN \textbf{ then} \f$
- *                 <ul>
- *                   <li style="list-style-type: none;">\f$ filtration( \tau ) = min ( filtration( \tau ), filtration( \sigma ) ) \f$
- *                   </li>
- *                 </ul>
- *               </li>
- *               <li style="list-style-type: none;">\f$\textbf{else}\f$
- *                 <ul>
- *                   <li style="list-style-type: none;">\f$\textbf{if } \tau is not Gabriel for \sigma \textbf{ then} \f$
- *                     <ul>
- *                       <li style="list-style-type: none;">\f$ filtration( \tau ) = filtration( \sigma ) \f$
- *                       </li>
- *                     </ul>
- *                   </li>
- *                   <li style="list-style-type: none;">\f$\textbf{end if}\f$
- *                   </li>
- *                 </ul>
- *               </li>
- *               <li style="list-style-type: none;">\f$\textbf{end if}\f$
- *               </li>
- *             </ul>
- *           </li>
- *           <li style="list-style-type: none;">\f$\textbf{end for}\f$
- *           </li>
- *         </ul>
- *       </li>
- *       <li style="list-style-type: none;">\f$\textbf{end for}\f$
- *       </li>
- *     </ul>
- *   </li>
- *   <li style="list-style-type: none;">\f$\textbf{end for}\f$
- *   </li>
- *   <li style="list-style-type: none;">\f$make\_filtration\_non\_decreasing()\f$
- *   </li>
- *   <li style="list-style-type: none;">\f$prune\_above\_filtration()\f$
- *   </li>
- * </ul>
- *
+ * <br>
+ * \f$
+ * \textbf{for } \text{i : dimension } \rightarrow 0 \textbf{ do}\\
+ * \quad \textbf{for all } \sigma \text{ of dimension i}\\
+ * \quad\quad \textbf{if } \text{filtration(} \sigma ) \text{ is NaN} \textbf{ then}\\
+ * \quad\quad\quad \text{filtration(} \sigma ) = \alpha^2( \sigma )\\
+ * \quad\quad \textbf{end if}\\
+ * \quad\quad \textbf{for all } \tau \text{ face of } \sigma \textbf{ do}\quad\quad
+ * \textit{// propagate alpha filtration value}\\
+ * \quad\quad\quad \textbf{if } \text{filtration(} \tau ) \text{ is not NaN} \textbf{ then}\\
+ * \quad\quad\quad\quad \text{filtration(} \tau \text{) = min( filtration(} \tau \text{), filtration(} \sigma
+ * \text{) )}\\
+ * \quad\quad\quad \textbf{else}\\
+ * \quad\quad\quad\quad \textbf{if } \textbf{if } \tau \text{ is not Gabriel for } \sigma \textbf{ then}\\
+ * \quad\quad\quad\quad\quad \text{filtration(} \tau \text{) = filtration(} \sigma \text{)}\\
+ * \quad\quad\quad\quad \textbf{end if}\\
+ * \quad\quad\quad \textbf{end if}\\
+ * \quad\quad \textbf{end for}\\
+ * \quad \textbf{end for}\\
+ * \textbf{end for}\\
+ * \text{make_filtration_non_decreasing()}\\
+ * \text{prune_above_filtration()}\\
+ * \f$
  *
  * \subsubsection dimension2 Dimension 2
  * 
-- 
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