diff --git a/KanjiVG.pm b/KanjiVG.pm
index aca445529..25fefe412 100644
--- a/KanjiVG.pm
+++ b/KanjiVG.pm
@@ -50,4 +50,5 @@ sub handle_element
 }
 
 
+
 1;
diff --git a/SVG/5ae3.svg b/SVG/5ae3.svg
index 55d6e1e53..4d18a69a6 100644
--- a/SVG/5ae3.svg
+++ b/SVG/5ae3.svg
@@ -52,10 +52,10 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M56.77,27.66c0.05,0.18,1.21,1.44,1.26,2.59c0.24,5.53-0.01,11.14-0.01,13.02"/>
 		<path d="M46.96,43.7c1.14,0.26,3.6,0.64,4.69,0.57c9.7-0.63,31.85-4.02,42.76-4.77c1.83-0.12,3.42-0.12,4.38,0.27"/>
 		<path d="M57.99,46.15c0.33,0.35,0.78,2.28,0.69,2.86c-1.05,6.78-1.96,10.63-3.07,14.48c-0.45,1.55,0.09,3.92,1.83,3.29c3.83-1.4,29.04-3.66,34.76-4.46c3.72-0.52,5.62,0.93,4.96,4.5c-1.44,7.77-3.9,20.19-7.98,26.86c-2.52,4.11-5.74,5.17-8.74-0.51"/>
+		<path d="M57.61,54.97c6.28-0.01,20.06-2.37,32.83-3.48c1.09-0.09,1.74,0.08,2.28,0.17"/>
 		<path d="M47.91,78.58c-0.6,5.28-2.06,11.02-4.94,14"/>
 		<path d="M56.06,76.69c1.52,2.48,2.96,9.3,3.34,13.16"/>
 		<path d="M65.92,75.33c2,2.04,5.16,8.38,5.67,11.55"/>
 		<path d="M77.51,72.59c2.25,1.92,5.82,7.88,6.39,10.86"/>
-		<path d="M57.61,54.97c6.28-0.01,20.06-2.37,32.83-3.48c1.09-0.09,1.74,0.08,2.28,0.17"/>
 	</g>
 </svg>
diff --git a/SVG/7109.svg b/SVG/7109.svg
index 6313d87bf..97e7ed795 100644
--- a/SVG/7109.svg
+++ b/SVG/7109.svg
@@ -46,10 +46,10 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M32.51,22.46c0.07,0.2,0.97,1.03,1.04,2.28c0.33,6.02,0.68,13.77,0.68,15.81"/>
 		<path d="M14.21,40.84c1.57,0.36,4.95,0.9,6.45,0.8c13.34-0.89,49.09-4.39,69.11-4.92c2.52-0.07,4.71,0.54,6.02,1.08"/>
 		<path d="M36.25,41.5c0.46,0.38,1.08,2.48,0.95,3.12C35.75,52,34.5,60,32.97,64.2c-0.62,1.69,0.13,4.27,2.51,3.58c5.27-1.53,41.3-2.9,49.17-3.77c5.12-0.57,7.73,2.65,6.82,6.53C89.5,79,86.25,86.75,83.25,93.25C78.56,103.41,75.5,96,73.3,92.7"/>
+		<path d="M35.73,53.09c0.9,0.2,2.54,0.2,3.44,0.2c8.63-0.01,24.83-2.04,42.4-3.24c1.49-0.1,2.39,0.09,3.14,0.19"/>
 		<path d="M23.08,79c-0.83,5.75-2.83,12-6.8,15.25"/>
 		<path d="M36,77.75c2.55,2.65,4.98,9.93,5.62,14.05"/>
 		<path d="M53,76c2.39,2.22,6.16,9.12,6.76,12.58"/>
 		<path d="M68.25,72.75c2.74,2.14,7.07,8.78,7.75,12.1"/>
-		<path d="M35.73,53.09c0.9,0.2,2.54,0.2,3.44,0.2c8.63-0.01,24.83-2.04,42.4-3.24c1.49-0.1,2.39,0.09,3.14,0.19"/>
 	</g>
 </svg>
diff --git a/SVG/7274.svg b/SVG/7274.svg
index 0c3d8e3a9..f438c5afd 100644
--- a/SVG/7274.svg
+++ b/SVG/7274.svg
@@ -38,14 +38,14 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<text transform="matrix(1 0 0 1 40.5 88.5)">9</text>
 	</g>
 	<g id="StrokePaths" style="fill:none;stroke:#404040;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;">
+		<path d="M20.28,23.14c0.03,0.66,0.05,1.71-0.05,2.66c-0.61,5.6-4.12,17.89-8.92,25.42"/>
+		<path d="M19.75,39.25c1.03,0.07,2.15,0.17,3.28,0.02c7.47-1.02,13.41-2.42,14.47-2.52c1.4-0.13,2.5,0,3.75,0.25"/>
+		<path d="M28.87,12.25c1.09,0.5,1.74,2.25,1.96,3.25c0.22,1,0,76.75-0.22,83"/>
+		<path d="M11.5,67.1c1.86,1.17,3.41,1.16,5.27,0.17c1.1-0.59,19.58-10.19,24.23-13.02"/>
 		<path d="M80.23,13.36c0.08,0.4-0.22,1.61-0.67,2.12c-3.31,3.77-11.09,9.6-26.96,15.32"/>
 		<path d="M46.66,28.45c1.09,1.05,2.07,2.07,2.07,4.04c0,1.97-0.17,41.44-0.17,44.51c0,3.07,0.17,3.94,2.4,1.75c2.23-2.19,13.06-9.67,14.43-10.98"/>
 		<path d="M49.03,48.59c0.7,0.14,1.98-0.14,2.67-0.19c15.15-1.16,23.54-2.79,35.61-4.23c1.14-0.14,4.02-0.26,4.6-0.19"/>
 		<path d="M67.15,27.57C67.75,28,68.93,30.17,69,31c1.5,20.5,5.75,46.75,21.91,62.1c5.48,5.21,4.11-4.07,4.11-6.7"/>
 		<path d="M43.25,92.39c0.94,0.38,2.66,0.49,3.6,0.38c5.98-0.66,23.15-3.02,29.61-2.88c1.56,0.03,2.5,0.18,3.29,0.37"/>
-		<path d="M20.28,23.14c0.03,0.66,0.05,1.71-0.05,2.66c-0.61,5.6-4.12,17.89-8.92,25.42"/>
-		<path d="M19.75,39.25c1.03,0.07,2.15,0.17,3.28,0.02c7.47-1.02,13.41-2.42,14.47-2.52c1.4-0.13,2.5,0,3.75,0.25"/>
-		<path d="M28.87,12.25c1.09,0.5,1.74,2.25,1.96,3.25c0.22,1,0,76.75-0.22,83"/>
-		<path d="M11.5,67.1c1.86,1.17,3.41,1.16,5.27,0.17c1.1-0.59,19.58-10.19,24.23-13.02"/>
 	</g>
 </svg>
diff --git a/SVG/7bf6.svg b/SVG/7bf6.svg
index 2783f9835..b92f3af7a 100644
--- a/SVG/7bf6.svg
+++ b/SVG/7bf6.svg
@@ -58,10 +58,10 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M36.6,39.22c0.04,0.14,0.49,0.72,0.52,1.6c0.17,4.23,0.34,9.68,0.34,11.11"/>
 		<path d="M17.82,52.75c1.45,0.26,4.58,0.64,5.95,0.57c12.32-0.63,45.35-3.12,63.84-3.5c2.33-0.05,4.35,0.38,5.56,0.77"/>
 		<path d="M38.69,53.71c0.43,0.29,1.01,1.9,0.89,2.39c-1.36,5.65-4.04,11.77-5.48,14.98c-0.58,1.29,0.12,3.27,2.36,2.74c4.95-1.17,40.85-3.22,48.26-3.89c4.82-0.43,6.27,3.03,5.42,5.99C88.29,82.4,86,89,83.41,95.3c-3.4,8.27-7.29,2.1-9.36-0.42"/>
+		<path d="M37.57,62.1c0.6,0.11,26.8-1.33,43.46-2.21c1.41-0.07,2.27,0.08,2.98,0.16"/>
 		<path d="M25.03,81.96c-0.73,5.43-2.51,11.33-6.03,14.4"/>
 		<path d="M39.05,81.44c1.91,2.41,3.73,9.05,4.2,12.81"/>
 		<path d="M54.5,79.75c1.9,2.16,4.9,8.88,5.37,12.25"/>
 		<path d="M69.5,77.75c2.12,1.72,5.47,7.07,6,9.75"/>
-		<path d="M37.57,62.1c0.6,0.11,26.8-1.33,43.46-2.21c1.41-0.07,2.27,0.08,2.98,0.16"/>
 	</g>
 </svg>
diff --git a/SVG/7e66.svg b/SVG/7e66.svg
index 0f27ae69a..0da8dd2e8 100644
--- a/SVG/7e66.svg
+++ b/SVG/7e66.svg
@@ -56,14 +56,14 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M39.47,17.92c1.28,0.58,2.54,0.65,3.54,0.59c3.73-0.26,11.48-1.76,14.79-2.4c2.08-0.41,2.72,0.9,1.94,3c-0.61,1.64-1.63,7.64-2.3,11.65c-0.19,1.12-0.35,2.09-0.46,2.76"/>
 		<path d="M47.5,36c1.75,0,8-1.5,9.25-1.5s2,0,3,0"/>
 		<path d="M45.75,35c0.35,0.88,0.98,1.61,0.75,3c-0.26,1.59-1.92,14.51-2.15,15.35c-0.65,2.34,0.93,3.54,3.15,2.65c2.5-1,6.01-1.35,8.75-1.75c1.94-0.28,2.64,1.17,2.5,2.75c-0.71,8.12-2.05,24.13-7.29,31.72c-3.46,5.03-4.71,1.78-6.17-0.48"/>
+		<path d="M66.89,15c0.23,0.36,0.47,0.65,0.57,1.1c0.68,2.97,1.82,10.33,2.5,16.38c0.13,1.15,0.24,2.26,0.33,3.27"/>
+		<path d="M68,17.25c0.97-0.12,1.98-0.25,3.02-0.36c7.29-0.83,15.93-1.48,20.05-1.9c1.72-0.18,2.75,1.03,2.51,2.06c-0.81,3.39-1.42,7.67-2.4,12.24c-0.25,1.15-0.52,2.32-0.82,3.5"/>
+		<path d="M70.95,34.33c5.02-0.5,10.01-0.76,17.57-1.23c1.17-0.07,2.4-0.15,3.7-0.24"/>
 		<path d="M64.56,45.5c0.33,0.2,1.11,1.59,1.2,2.19c0.54,3.78,1.1,8.63,1.83,15.28c0.1,0.96,0.21,1.96,0.33,3"/>
 		<path d="M65.75,47.38c8.5-1.13,22.24-2.29,27.37-3.29c2-0.39,3.3,2.2,3.07,3.66c-0.7,4.38-1.03,6.18-1.85,11.27c-0.17,1.08-0.37,2.31-0.59,3.74"/>
 		<path d="M67.98,64.83c4.92-0.54,15.79-1.1,23.79-1.71c1.25-0.09,2.43-0.19,3.51-0.28"/>
 		<path d="M78.29,36.25c0.63,0.35,1.01,1.56,1.14,2.26c0.11,0.6,0.03,32.92-0.08,44.24c-0.02,1.71-0.03,2.94-0.05,3.51"/>
 		<path d="M62.44,90.79c0.73,0.74,2.17,1.16,2.91,0.97s25.19-7.34,27.4-8.26"/>
 		<path d="M88.5,74.75c3,3.31,7.75,13.6,8.5,18.75"/>
-		<path d="M66.89,15c0.23,0.36,0.47,0.65,0.57,1.1c0.68,2.97,1.82,10.33,2.5,16.38c0.13,1.15,0.24,2.26,0.33,3.27"/>
-		<path d="M68,17.25c0.97-0.12,1.98-0.25,3.02-0.36c7.29-0.83,15.93-1.48,20.05-1.9c1.72-0.18,2.75,1.03,2.51,2.06c-0.81,3.39-1.42,7.67-2.4,12.24c-0.25,1.15-0.52,2.32-0.82,3.5"/>
-		<path d="M70.95,34.33c5.02-0.5,10.01-0.76,17.57-1.23c1.17-0.07,2.4-0.15,3.7-0.24"/>
 	</g>
 </svg>
diff --git a/SVG/8831.svg b/SVG/8831.svg
index 3032a3e6b..475d7e5f0 100644
--- a/SVG/8831.svg
+++ b/SVG/8831.svg
@@ -52,11 +52,6 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<text transform="matrix(1 0 0 1 12.5 92.5)">23</text>
 	</g>
 	<g id="StrokePaths" style="fill:none;stroke:#404040;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;">
-		<path d="M26.41,76.86c0.67,0.82,1.53,1.84,1.67,2.54c1.12,5.52,2.59,10.69,3.36,16.35"/>
-		<path d="M28.61,78.6c11.8-1.13,47.46-4.04,52.41-4.49c1.71-0.16,2.75,0.91,2.5,1.81c-1.01,3.74-2.54,11.99-3.57,16.6"/>
-		<path d="M45.44,77.78c0.28,0.53,0.56,0.96,0.68,1.62c0.94,5.12,0.96,10.1,1.2,15.59"/>
-		<path d="M63.35,76.76c0.44,0.52,0.89,1.28,0.82,1.97c-0.42,4.38-0.84,9.76-1.59,14.97"/>
-		<path d="M15.5,95.89c1.99,0.71,5.65,0.86,7.64,0.71c17.94-1.35,45.69-3.1,68.06-3.45c3.32-0.05,5.31,0.33,6.97,0.69"/>
 		<path d="M30.89,18.69c0.56,0.36,0.91,1.28,1.07,1.75c0.69,2,1.84,6.76,2.36,10.3"/>
 		<path d="M32.38,20.09c8.6-0.7,32.34-3.02,38.56-3.29c2.43-0.1,2.71,1.15,2.29,2.66c-0.59,2.12-1.45,3.61-2.23,6.26"/>
 		<path d="M34.25,28.56c6.92-0.7,27.94-2.44,38.63-2.59"/>
@@ -75,5 +70,10 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M69.05,39.74c0.65,0.4,1.04,1.8,1.17,2.61c0.13,0.8,0,19.23-0.13,24.24"/>
 		<path d="M55.34,67.92c0.74,0.42,1.66,0.94,2.41,0.83c0.74-0.11,24.18-3.3,28.78-4.13"/>
 		<path d="M80.75,59.94c3.71,1.9,9.59,7.82,10.52,10.78"/>
+		<path d="M26.41,76.86c0.67,0.82,1.53,1.84,1.67,2.54c1.12,5.52,2.59,10.69,3.36,16.35"/>
+		<path d="M28.61,78.6c11.8-1.13,47.46-4.04,52.41-4.49c1.71-0.16,2.75,0.91,2.5,1.81c-1.01,3.74-2.54,11.99-3.57,16.6"/>
+		<path d="M45.44,77.78c0.28,0.53,0.56,0.96,0.68,1.62c0.94,5.12,0.96,10.1,1.2,15.59"/>
+		<path d="M63.35,76.76c0.44,0.52,0.89,1.28,0.82,1.97c-0.42,4.38-0.84,9.76-1.59,14.97"/>
+		<path d="M15.5,95.89c1.99,0.71,5.65,0.86,7.64,0.71c17.94-1.35,45.69-3.1,68.06-3.45c3.32-0.05,5.31,0.33,6.97,0.69"/>
 	</g>
 </svg>
diff --git a/SVG/88d8.svg b/SVG/88d8.svg
index ba9826444..adc5d07e1 100644
--- a/SVG/88d8.svg
+++ b/SVG/88d8.svg
@@ -42,12 +42,6 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<text transform="matrix(1 0 0 1 51.75 76.7285)">13</text>
 	</g>
 	<g id="StrokePaths" style="fill:none;stroke:#404040;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;">
-		<path d="M52.29,53.75c0.66,0.35,1.75,1.59,1.75,2.42c0,1.35-0.09,5.27-0.09,6.76"/>
-		<path d="M21.5,65.77c1.69,0.06,5.54,0.49,7.18,0.32C41.5,64.75,68.5,61,82,60.49c2.78-0.11,4.2,0.03,6.27,0.41"/>
-		<path d="M52.42,63.16c0.1,0.57,0.38,1.52-0.19,2.29C48.53,70.44,35,81.25,18.05,87.4"/>
-		<path d="M42.22,78.67c0.45,0.31,0.94,1.62,0.94,2.16c-0.03,6.85-0.3,15.67-0.3,16.83c0,1.16,1.11,1.82,2.52,0.95c1.41-0.87,10.88-8.86,16.34-12.74"/>
-		<path d="M77.04,66.62c0.02,0.22,0.22,1.07,0.09,1.37c-0.77,1.84-3.18,4.46-7.11,8.12"/>
-		<path d="M55.54,64.83c1.47,0.84,3.84,3.18,4.22,3.57c6.49,6.6,17.99,18.1,24.63,21.91c1.67,0.96,2.83,1.68,4.36,2.01"/>
 		<path d="M23.2,24.41c1.32,0.37,3.73,0.42,5.04,0.37c14.01-0.52,40.32-4.71,52.82-4.71c2.19,0,3.51,0.18,4.6,0.36"/>
 		<path d="M53.58,11.58c0.06,0.32,0.79,1.67,0.84,3.71c0.27,9.79-0.17,24.54-0.17,27.87c0,7.58-4.25,1.58-5.36,0.17"/>
 		<path d="M28.75,30.23c3.21,1.13,8.29,4.64,9.1,6.39"/>
@@ -55,5 +49,11 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<path d="M74.73,25.55c0.07,0.22,0.13,0.59-0.14,0.87c-2.53,2.68-7.81,5.72-12.78,7.63"/>
 		<path d="M59.12,35.51C68,38.5,76.75,43.75,81.65,48.88"/>
 		<path d="M66.18,9.33c3.62,1.04,9.36,4.27,10.26,5.89"/>
+		<path d="M52.29,53.75c0.66,0.35,1.75,1.59,1.75,2.42c0,1.35-0.09,5.27-0.09,6.76"/>
+		<path d="M21.5,65.77c1.69,0.06,5.54,0.49,7.18,0.32C41.5,64.75,68.5,61,82,60.49c2.78-0.11,4.2,0.03,6.27,0.41"/>
+		<path d="M52.42,63.16c0.1,0.57,0.38,1.52-0.19,2.29C48.53,70.44,35,81.25,18.05,87.4"/>
+		<path d="M42.22,78.67c0.45,0.31,0.94,1.62,0.94,2.16c-0.03,6.85-0.3,15.67-0.3,16.83c0,1.16,1.11,1.82,2.52,0.95c1.41-0.87,10.88-8.86,16.34-12.74"/>
+		<path d="M77.04,66.62c0.02,0.22,0.22,1.07,0.09,1.37c-0.77,1.84-3.18,4.46-7.11,8.12"/>
+		<path d="M55.54,64.83c1.47,0.84,3.84,3.18,4.22,3.57c6.49,6.6,17.99,18.1,24.63,21.91c1.67,0.96,2.83,1.68,4.36,2.01"/>
 	</g>
 </svg>
diff --git a/SVG/9ae2.svg b/SVG/9ae2.svg
index 1319cf8ff..b6c6e8af5 100644
--- a/SVG/9ae2.svg
+++ b/SVG/9ae2.svg
@@ -42,9 +42,6 @@ See http://creativecommons.org/licenses/by-sa/3.0/ for more details. -->
 		<text transform="matrix(1 0 0 1 48.5 59.5)">13</text>
 	</g>
 	<g id="StrokePaths" style="fill:none;stroke:#404040;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;">
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diff --git a/check-1.0 b/check-1.0
new file mode 100644
index 000000000..69ade44d2
--- /dev/null
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+/usr/home/ben/projects/kanjivg-data/kanjivg/kanjivg/07cf4.svg:62: more than 1 radian from average.
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+/usr/home/ben/projects/kanjivg-data/kanjivg/kanjivg/07feb.svg:53: more than 1 radian from average.
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+/usr/home/ben/projects/kanjivg-data/kanjivg/kanjivg/085ab.svg:72: more than 1 radian from average.
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+/usr/home/ben/projects/kanjivg-data/kanjivg/kanjivg/086fb.svg:59: more than 1 radian from average.
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+/usr/home/ben/projects/kanjivg-data/kanjivg/kanjivg/08936.svg:60: more than 1 radian from average.
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diff --git a/check-all-strokes.pl b/check-all-strokes.pl
new file mode 100755
index 000000000..4d19b4556
--- /dev/null
+++ b/check-all-strokes.pl
@@ -0,0 +1,124 @@
+#!/home/ben/software/install/bin/perl
+use warnings;
+use strict;
+use XML::Parser;
+use FindBin;
+use Image::SVG::Path 'extract_path_info';
+my $dir = "$FindBin::Bin/kanjivg";
+
+# The grep only allows the "normal" files from the complete list of
+# files.
+
+my @files = grep /\/[0-9a-f]+\.svg$/, <$dir/*.svg>;
+
+my %stroke_types;
+
+my %global;
+
+my %angles;
+
+my $parser = XML::Parser->new (
+    Handlers => {
+        Start => sub { &{handle_start} (\%global, @_) },
+    },
+);
+
+# This doesn't let us use current_line.
+#$global{parser} = $parser;
+
+for my $file (@files) {
+    $global{file} = $file;
+    $parser->parsefile ($file);
+}
+
+#for my $t (sort keys %stroke_types) {
+#    print "$t\n";
+#}
+
+my %average;
+
+for my $t (sort keys %angles) {
+    if ($t eq 'None') {
+        next;
+    }
+    my $total_angle = 0;
+    my $n = 0;
+    for my $se (@{$angles{$t}}) {
+        my ($start, $end) = @$se;
+        my $angle = atan2 ($end->[1] - $start->[1], $end->[0] - $start->[0]);
+        $total_angle += $angle;
+        $n++;
+    }
+    $average{$t} = $total_angle / $n;
+    print "$t $average{$t}\n";
+}
+
+my $limit = 1.0;
+
+for my $t (sort keys %angles) {
+    if ($t eq 'None') {
+        next;
+    }
+    for my $se (@{$angles{$t}}) {
+        my ($start, $end, $location) = @$se;
+        my $angle = atan2 ($end->[1] - $start->[1], $end->[0] - $start->[0]);
+        if ($angle - $average{$t} > $limit) {
+            print $location, "more than $limit radian from average.\n"
+        }
+    }
+}
+
+exit;
+
+sub handle_start
+{
+    my ($global_ref, $parser, $element, %attr) = @_;
+    # Use the expat parser so we can use current_line.
+    $global_ref->{parser} = $parser;
+    if ($element eq 'path') {
+        gather_path_info ($global_ref, \%attr);
+    }
+    elsif ($element eq 'g') {
+        if ($attr{id} =~ /^([0-9a-f]+)$/) {
+            $global_ref->{kanji_id} = $attr{id};
+        }
+    }
+}
+
+# Get the location for warning messages.
+
+sub location
+{
+    my ($global) = @_;
+    my $l = '';
+    $l .= $global->{file};
+    $l .= ":";
+    $l .= $global->{parser}->current_line ();
+    $l .= ": ";
+    return $l;
+}
+
+sub gather_path_info
+{
+    my ($global_ref, $attr_ref) = @_;
+    my $type = $attr_ref->{'kanjivg:type'};
+    if (! $type) {
+        warn location ($global_ref), "no type.\n";
+        return;
+    }
+    $type =~ s/([^[:ascii:]])/"{" . sprintf ("%X", ord $1) . "}"/ge;
+    $stroke_types{$type}++;
+    my $d = $attr_ref->{d};
+    if (! $d) {
+        warn location ($global_ref), "no path.\n";
+        return;
+    }
+    my @info = extract_path_info ($d, {absolute => 1, no_shortcuts => 1});
+    my $start = $info[0]->{point};
+    my $end = $info[-1]->{end};
+    if (! $start || ! $end) {
+        warn location ($global_ref), "parse failed for '$d': no start/end";
+        return;
+    }
+    push @{$angles{$type}}, [$start, $end, location ($global_ref)];
+}