From bac0905f390315b2b0f998999b2c820dd04224ad Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Motiejus=20Jak=C5=A1tys?= <motiejus@jakstys.lt>
Date: Wed, 19 May 2021 22:57:47 +0300
Subject: [PATCH] average curvature and isolated bend

---
 mj-msc.tex | 16 ++++++++++++++--
 vars.awk   | 19 +++++++++++--------
 2 files changed, 25 insertions(+), 10 deletions(-)

diff --git a/mj-msc.tex b/mj-msc.tex
index c5254d7..3564dd3 100644
--- a/mj-msc.tex
+++ b/mj-msc.tex
@@ -503,10 +503,22 @@ find out similar ones.
 
 \subsection{Isolated Bend}
 
-Bend itself and its extensions can be described by \textsc{average curvature},
+Bend itself and its "isolation" can be described by \textsc{average curvature},
 which is \textcquote{wang1998line}{geometrically defined as the ratio of
 inflection over the length of a curve.}
 
+Two conditions must be true to claim that a bend is isolated:
+
+\begin{enumerate}
+    \item \textsc{average curvature} of neighboring bends, should be larger
+        than the "candidate" bend's curvature; this implementation arbitrarily
+        chose $\isolationThreshold$.
+
+    \item Bends on both sides of the "candidate" should be longer than a
+        certain value. This implementation does not (yet) define such a
+        constraint and will only follow the average curvature constraint above.
+\end{enumerate}
+
 \subsection{The Context of a Bend: Isolated and Similar Bends}
 
 To find out whether two bends are similar, they are compared by 3 components:
@@ -527,7 +539,7 @@ $q$:
                    (baseline_p-baseline_q)^2}
 \]
 
-The smaller the distance $d$, the more similar the bends are.
+The more similar the bends are, the smaller the distance $d$.
 
 \subsection{Elimination Operator}
 
diff --git a/vars.awk b/vars.awk
index e7b1a8e..7fa2fea 100644
--- a/vars.awk
+++ b/vars.awk
@@ -1,18 +1,21 @@
 #!/usr/bin/awk -f
 
-BEGIN { FS="[() ]" }
+BEGIN { FS="[(); ]" }
 
 /small_angle constant real default radians/ {
-  if(d) {
-    exit 1
-  } else {
-    d = sprintf("\\newcommand{\\smallAngle}{\\frac{\\pi}{%d}}\n",180/$8);
-  }
+  x1 += 1;
+  d1 = sprintf("\\newcommand{\\smallAngle}{\\frac{\\pi}{%d}}",180/$8);
+}
+/isolation_threshold constant real default / {
+  x2 += 1;
+  d2 = sprintf("\\newcommand{\\isolationThreshold}{%.2f}",$7);
+
 }
 
 END{
-  if(d) {
-    print d > "vars.inc.tex"
+  if(x1 == 1 && x2 == 1) {
+    print d1 > "vars.inc.tex"
+    print d2 >> "vars.inc.tex"
   } else {
     exit 1
   }