better formulae
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@ -70,7 +70,7 @@ slides: $(SLIDES)
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mj-msc.pdf: mj-msc.tex version.inc.tex vars.inc.tex bib.bib \
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$(LISTINGS) $(addsuffix .pdf,$(FIGURES)) $(addsuffix .pdf,$(RIVERS))
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latexmk -shell-escape -g -pdf $<
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latexmk -shell-escape -pdf $<
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############################
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# Report's test dependencies
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@ -63,7 +63,6 @@ def read_layer(select, width, maybe_quadrant):
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conn = psycopg2.connect(PSQL_CREDS)
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sql = "SELECT {way} as way1 FROM {select}".format(way=way, select=select)
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print(sql)
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return geopandas.read_postgis(sql, con=conn, geom_col='way1')
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@ -729,21 +729,23 @@ compactness index is calculated as follows:
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\item Construct a polygon by joining first and last vertices of the bend.
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\item Calculate area of the polygon.
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\item Calculate area of the polygon $A_p$.
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\item Calculate perimeter $u$ of the polygon. The same value is the
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circumference of the circle.
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\item Calculate perimeter $P$ of the polygon. The same value is the
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circumference of the circle: $C = P$.
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\item Given circle's perimeter $u$, circle's area $A$ is:
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\item Given circle's circumference $C$, circle's area $A_c$ is:
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\[
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A = \frac{u^2}{4\pi}
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A_{c} = \frac{C^2}{4\pi}
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\]
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\item Compactness index is $\nicefrac{P}{A}$:
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\item Compactness index is $\frac{A_p}{A_c}$:
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\[
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cmp = \frac{P}{A} = \frac{P}{ \frac{u^2}{4\pi} } = \frac{4\pi P}{u^2}
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cmp = \frac{A_p}{A_c} =
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\frac{A_p}{ \frac{C^2}{4\pi} } =
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\frac{4\pi A_p}{C^2}
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\]
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\end{enumerate}
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@ -411,8 +411,8 @@ create function isolated_bends(
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dbgname text default null
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) as $$
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declare
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-- if neighbor's curvatures are within, it's isolated
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isolation_threshold constant real default 0.25;
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-- if neighbor's curvatures are within this fraction of the current bend
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isolation_threshold constant real default 0.5;
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this real;
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skip_next bool;
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res t_bend_attrs;
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@ -438,6 +438,11 @@ begin
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i,
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res.bend,
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jsonb_build_object(
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'area', res.area,
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'cmp', res.cmp,
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'adjsize', res.adjsize,
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'baselinelength', res.baselinelength,
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'curvature', res.curvature,
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'isolated', res.isolated
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)
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);
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