exaggeration step and visuals

IV/mj-msc.tex

@@ -1070,7 +1070,7 @@ The smaller the distance $d$, the more similar the bends are.
 
 Figure~\ref{fig:elimination-through-iterations} illustrates steps of figure 8
 from the original paper. There is not much to add to the original description
-beyond an illustrated example.
+beyond repeating the elimination steps in an illustrated example.
 
 \begin{figure}[ht]
     \centering
@@ -1092,11 +1092,39 @@ beyond an illustrated example.
 
 \subsection{Combination Operator}
 
-NOTE: not implemented.
+Combination operator was not implemented in this version.
 
 \subsection{Exaggeration Operator}
 
-NOTE: implemented, explain. Also {\textsc intersection\_tolerance} parameter.
+Exaggeration operator finds bends whose \textsc{adjusted size} is smaller than
+the incoming parameter --- \textsc{half-circle diameter}. Once it finds the
+bend, it will exaggerate it in increments until either becomes true:
+
+\begin{itemize}
+    \item \textsc{adjusted size} of the exaggerated bend is larger than area of
+        the half-circle.
+    \item The exaggerated bend starts intersecting with a neighboring bend. Then,
+\end{itemize}
+
+Exaggeration operator requires a constant \textsc{exaggeration step} $s$, which
+should be between 1 and 2. It was arbitrarily picked to \exaggerationEnthusiasm
+for this implementation. A single exaggeration increment is done as follows:
+
+\begin{enumerate}
+    \item Find a candidate bend.
+    \item Find the bend's baseline.
+    \item Find \textsc{midpoint}, the center of the bend's baseline.
+
+    \item Mark each bend's vertex with a number between $[1,s]$. The number is
+        derived with elements linearly interpolated between the start and
+        mid-points of the bend. The other half of the bend, from mid-point to
+        the final vertex, is linearly interpolated between $[s,1]$.
+
+    \item Each point will be placed farther away from the baseline. The length
+        of misplacement is the marked value in the previous step. I.e.
+
+\end{enumerate}
+
 
 \section{Program Implementation}
 

IV/test.sql

@@ -61,26 +61,6 @@ begin
   ways = array((select way from wm_debug where stage=_stage and name=_name order by id));
 end $$ language plpgsql;
 
-do $$
-  declare fig6b1 geometry;
-  declare fig6b2 geometry;
-  declare sclong geometry;
-  declare scshort geometry;
-begin
-  delete from wm_visuals where name like 'fig6-%' or name like 'selfcrossing-1%';
-
-  select way from wm_debug where name='fig6' and stage='bbends' and gen=1 into fig6b1 limit 1 offset 0;
-  select way from wm_debug where name='fig6' and stage='bbends' and gen=1 into fig6b2 limit 1 offset 2;
-  insert into wm_visuals (name, way) values('fig6-baseline', st_makeline(st_startpoint(fig6b2), st_endpoint(fig6b2)));
-  insert into wm_visuals (name, way) values('fig6-newline', st_makeline(st_endpoint(fig6b1), st_endpoint(fig6b2)));
-
-  select way from wm_debug where name='selfcrossing-1' and stage='bbends' and gen=1 into sclong limit 1 offset 1;
-  select way from wm_debug where name='selfcrossing-1' and stage='bbends' and gen=1 into scshort limit 1 offset 4;
-  insert into wm_visuals (name, way) values('selfcrossing-1-baseline', st_makeline(st_startpoint(sclong), st_endpoint(sclong)));
-  insert into wm_visuals (name, way) values('selfcrossing-1-newline', st_makeline(st_startpoint(sclong), st_endpoint(scshort)));
-end $$ language plpgsql;
-
-
 do $$
 declare
   vbends geometry[];

IV/vars.awk

@@ -9,13 +9,17 @@ BEGIN { FS="[(); ]" }
 /isolation_threshold constant real default / {
   x2 += 1;
   d2 = sprintf("\\newcommand{\\isolationThreshold}{%.2f}",$7);
-
+}
+/scale constant float default / {
+  x3 += 1;
+  d3 = sprintf("\\newcommand{\\exaggerationEnthusiasm}{%.1f}",$7);
 }
 
 END{
-  if(x1 == 1 && x2 == 1) {
+  if(x1 == 1 && x2 == 1 && x3 == 1) {
     print d1 > "vars.inc.tex"
     print d2 >> "vars.inc.tex"
+    print d3 >> "vars.inc.tex"
   } else {
     exit 1
   }

IV/visuals.sql

@@ -80,6 +80,26 @@ insert into wm_visuals(name, way) values('salvis', (
     )
 ));
 
+do $$
+  declare fig6b1 geometry;
+  declare fig6b2 geometry;
+  declare sclong geometry;
+  declare scshort geometry;
+begin
+  delete from wm_visuals where name like 'fig6-%' or name like 'selfcrossing-1%';
+
+  select way from wm_debug where name='fig6' and stage='bbends' and gen=1 into fig6b1 limit 1 offset 0;
+  select way from wm_debug where name='fig6' and stage='bbends' and gen=1 into fig6b2 limit 1 offset 2;
+  insert into wm_visuals (name, way) values('fig6-baseline', st_makeline(st_startpoint(fig6b2), st_endpoint(fig6b2)));
+  insert into wm_visuals (name, way) values('fig6-newline', st_makeline(st_endpoint(fig6b1), st_endpoint(fig6b2)));
+
+  select way from wm_debug where name='selfcrossing-1' and stage='bbends' and gen=1 into sclong limit 1 offset 1;
+  select way from wm_debug where name='selfcrossing-1' and stage='bbends' and gen=1 into scshort limit 1 offset 4;
+  insert into wm_visuals (name, way) values('selfcrossing-1-baseline', st_makeline(st_startpoint(sclong), st_endpoint(sclong)));
+  insert into wm_visuals (name, way) values('selfcrossing-1-newline', st_makeline(st_startpoint(sclong), st_endpoint(scshort)));
+end $$ language plpgsql;
+
+
 do $$
 declare
   i integer;