Merge branch 'non_lon_lat'

Convert_Matlab/Documentation_texfol/documentation.tex

@@ -55,6 +55,7 @@ for all $k$. That is, we guarantee that:
 \begin{equation*}
   \forall k, e_\mathrm{max}(k) \le E
 \end{equation*}
+($E$ may not be the same for cyclones and anticyclones.)
 
 The eddy indices $e$ for eddies at date index $k$ start at 1 and
 increment 1 by 1, without any jump. So they go from 1 to
@@ -174,24 +175,25 @@ the number of eddies at the date, in the field \verb+eddy_index+.
 
 The file \verb+ishape_last.txt+ in the directory
 \verb+SHPC_(anti|cyclo)+ is used to access directly any instantaneous
-eddy at any date. Let $l(k)$ be the shape index in the shapefiles of
-the last instantaneous eddy at date index $k$:
+eddy at any date. Let $d_0$ be the first date in an SHPC. Let $l(d)$
+be the shape index in the SHPC of the last instantaneous eddy at date
+$d$:
 \begin{equation*}
-  l(k) = \sum_{k' = 0} ^k e_\mathrm{max}(k') - 1
+  l(d) = \sum_{d' = d_0} ^d e_\mathrm{max}(d') - 1
 \end{equation*}
-So the shape index $i$ of the eddy with eddy index $e$ at date index $k$ is:
+So the shape index $i$ of the eddy with eddy index $e$ at date $d$ is:
 \begin{equation*}
   i =
   \begin{array}{|ll}
-    e - 1 & \mathrm{if}\ k = 0 \\
-    l(k - 1) + e & \mathrm{if}\ k \ge 1
+    e - 1 & \mathrm{if}\ d = d_0 \\
+    l(d - 1) + e & \mathrm{if}\ d > d_0
   \end{array}
 \end{equation*}
-Also, note that, if $k \ge 1$ then:
+Also, note that, if $d > d_0$ then:
 \begin{equation*}
-  e_\mathrm{max}(k) = l(k) - l(k - 1)
+  e_\mathrm{max}(d) = l(d) - l(d - 1)
 \end{equation*}
-\verb+ishape_last.txt+ gives $l(k)$ for all $k$.
+\verb+ishape_last.txt+ gives $l(d)$ for all $d$ in an SHPC.
 
 Finally, the file \verb+grid_nml.txt+ in the directory
 \verb+SHPC_(anti|cyclo)+ gives (in Fortran namelist format) the grid