wip fix gentle inflections

IV/Makefile

@@ -5,7 +5,9 @@ SLIDES = slides-2021-03-29.pdf
 
 NON_ARCHIVABLES = notes.txt referatui.txt slides-2021-03-29.txt
 ARCHIVABLES = $(filter-out $(NON_ARCHIVABLES),$(shell git ls-files .))
-FIGURES = fig8-definition-of-a-bend.pdf
+FIGURES = fig8-definition-of-a-bend.pdf \
+		  fig5-gentle-inflection-before.pdf \
+		  fig5-gentle-inflection-after.pdf
 
 .PHONY: test
 test: .faux_test
@@ -44,6 +46,17 @@ mj-msc-full.pdf: mj-msc.pdf version.tex $(ARCHIVABLES)
 	done
 	mv .tmp-$@ $@
 
+mj-msc-gray.pdf: mj-msc.pdf
+	gs \
+		-sOutputFile=$@ \
+		-sDEVICE=pdfwrite \
+		-sColorConversionStrategy=Gray \
+		-dProcessColorModel=/DeviceGray \
+		-dCompatibilityLevel=1.4 \
+		-dNOPAUSE \
+		-dBATCH \
+		$<
+
 test-figures.pdf: layer2img.py .faux_test
 	python ./layer2img.py --group1-table=wm_figures --outfile=$@
 
@@ -56,6 +69,21 @@ fig8-definition-of-a-bend.pdf: layer2img.py Makefile .faux_test
 		--group2-where="name='fig8' AND stage='bbends' AND gen=1" \
 		--outfile=$@
 
+fig5-gentle-inflection-before.pdf: layer2img.py Makefile .faux_test
+	python ./layer2img.py \
+		--group1-table=wm_debug \
+		--group1-where="name='fig5' AND stage='bbends' AND gen=1" \
+		--group2-cmap=1 \
+		--group2-table=wm_debug \
+		--group2-where="name='fig5' AND stage='bbends-polygon' AND gen=1" \
+		--outfile=$@
+
+fig5-gentle-inflection-after.pdf: layer2img.py Makefile .faux_test
+	python ./layer2img.py \
+		--group1-table=wm_debug \
+		--group1-where="name='fig5' AND stage='cinflections' AND gen=1" \
+		--outfile=$@
+
 .faux_test: tests.sql wm.sql .faux_db
 	./db -f tests.sql
 	touch $@

IV/layer2img.py

@@ -58,8 +58,8 @@ def main():
     group1 = read_layer(args.group1_table, args.group1_where)
     group2 = read_layer(args.group2_table, args.group2_where)
     group3 = read_layer(args.group3_table, args.group3_where)
-    c1 = {'cmap': 'coolwarm'} if args.group1_cmap else {'color': ORANGE}
-    c2 = {'cmap': 'coolwarm'} if args.group2_cmap else {'color': BLACK}
+    c1 = {'cmap': 'coolwarm'} if args.group1_cmap else {'color': BLACK}
+    c2 = {'cmap': 'coolwarm'} if args.group2_cmap else {'color': ORANGE}
     c3 = {'cmap': 'coolwarm'} if args.group3_cmap else {'color': GREEN}
 
     rc('text', usetex=True)

IV/mj-msc.tex

@@ -225,7 +225,7 @@ test cases.
 \begin{figure}[H]
     \centering
     \includegraphics[width=\linewidth]{fig8-definition-of-a-bend}
-    \caption{Originally figure 8: detected bends are highlighted}
+    \caption{Originally Figure 8: detected bends are highlighted}
     \label{fig:fig8-definition-of-a-bend}
 \end{figure}
 
@@ -241,6 +241,27 @@ have such an explanation or illustration.
 
 \section{Gentle Inflection at End of a Bend}
 
+The example in this section was clear, but insufficient: it does not specify
+how many vertices should be included when calculating the end-of-bend
+inflection. We chose the iterative approach -- as long as the angle is "right"
+and the distance is decreasing, the algorithm should keep going; practically
+not having an upper bound on the number of iterations.
+
+\begin{figure}[h]
+    \centering
+    \begin{subfigure}[b]{.45\textwidth}
+        \includegraphics[width=\textwidth]{fig5-gentle-inflection-before}
+        \caption{Before applying the inflection rule}
+    \end{subfigure}
+    \hfill
+    \begin{subfigure}[b]{.45\textwidth}
+        \includegraphics[width=\textwidth]{fig5-gentle-inflection-after}
+        \caption{After applying the inflection rule}
+    \end{subfigure}
+    \caption{Originally Figure 5: gentle inflections at the ends of the bend}
+    \label{fig:fig5-gentle-inflection}
+\end{figure}
+
 \section{Self-line Crossing When Cutting a Bend}
 
 \section{Attributes of a Single Bend}

IV/notes.txt

@@ -1,9 +1,3 @@
-Definition of a bend
---------------------
-
-Ends of the line should always be bends, otherwise not
-all line vertices are covered by bends (definition elsewhere).
-
 Gentle inflection at the end of the bend
 ----------------------------------------