update notes

IV/mj-msc.tex

@@ -1,7 +1,7 @@
 \documentclass[a4paper]{article}
 
 \usepackage[T1]{fontenc}
-\usepackage[bitstream-charter]{mathdesign}
+%\usepackage[bitstream-charter]{mathdesign}
 \usepackage[english]{babel}
 \usepackage[utf8]{inputenc}
 \usepackage{a4wide}

IV/notes.txt

@@ -65,3 +65,21 @@ To:
 
 But perhaps it doesn't look quite as natural. I will trust the original
 article to do the right thing here and remove the bend altogether.
+
+The Context of a Bend
+---------------------
+
+Similar bends:
+
+> For example, if bend 1 has four unit areas and bend 2 has six unit areas, the
+> average size is five units, and the normalized areas of bends 1 and 2 are
+> 4/5=0.8 and 6/5=1.2, respectively.
+
+My comment: everything until this sentence is clear. However, "unit areas" is
+misleading: there is little reason to normalize areas, but leave the distances
+intact (if we'd like to normalize areas, it would make sense to square-root
+them).
+
+Removing that removes changes the meaning of the sentence that **euclidean
+distance** is normalized (the composite of the bend properties), rather than
+a single component.

IV/wm.sql

@@ -272,7 +272,8 @@ create type t_bend_attrs as (
   bend geometry,
   area real,
   cmp real,
-  adjsize real
+  adjsize real,
+  baselinelength real
 );
 create function bend_attrs(bends geometry[], dbg boolean default false) returns setof t_bend_attrs as $$
 declare
@@ -292,6 +293,7 @@ begin
       polygon = null;
     else
       select st_makepolygon(st_addpoint(bend, st_startpoint(bend))) into polygon;
+      select st_distance(st_startpoint(bend), st_endpoint(bend)) into res.baselinelength;
       -- Compactness Index (cmp) is defined as "the ratio of the area of the
       -- polygon over the circle whose circumference length is the same as the
       -- length of the circumference of the polygon". I assume they meant the
@@ -311,7 +313,12 @@ begin
       insert into debug_wm (name, way, props) values(
         'bend_attrs_' || i,
         bend,
-        json_build_object('area', res.area, 'cmp', res.cmp, 'adjsize', res.adjsize)
+        json_build_object(
+          'area', res.area,
+          'cmp', res.cmp,
+          'adjsize', res.adjsize,
+          'baselinelength', res.baselinelength
+        )
       );
     end if;
     return next res;