[postgis-tickets] [SCM] PostGIS branch master updated. 3.3.0rc2-1147-g1633c5805
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Wed Jul 5 14:00:48 PDT 2023
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- Log -----------------------------------------------------------------
commit 1633c580582977ef3de8bb029706328173e217cb
Author: Martin Davis <mtnclimb at gmail.com>
Date: Wed Jul 5 14:00:46 2023 -0700
Switch doc for ST_Crosses to use math symbols
diff --git a/doc/reference_relationship.xml b/doc/reference_relationship.xml
index 7fdcc8009..d0673725f 100644
--- a/doc/reference_relationship.xml
+++ b/doc/reference_relationship.xml
@@ -609,23 +609,19 @@ SELECT ST_Covers(geog_poly, geog_pt) As poly_covers_pt,
<title>Description</title>
<para>Compares two geometry objects and
- returns <varname>true</varname> if their intersection "spatially cross", that is, the
- geometries have some, but not all interior points in common. The
- intersection of the interiors of the geometries must be non-empty
+ returns <varname>true</varname> if their intersection "spatially crosses";
+ that is, the geometries have some, but not all interior points in common.
+ The intersection of the interiors of the geometries must be non-empty
and must have dimension less than the maximum dimension
- of the two input geometries. Additionally, the intersection of the two
- geometries must not equal either of the source geometries. Otherwise, it
+ of the two input geometries, and the intersection of the two
+ geometries must not equal either geometry. Otherwise, it
returns <varname>false</varname>.</para>
- <para>In mathematical terms, this is:</para>
+ <para>In mathematical terms:
+ </para>
- <informalfigure>
- <mediaobject>
- <imageobject>
- <imagedata fileref="images/st_crosses-math.png" />
- </imageobject>
- </mediaobject>
- </informalfigure>
+ <para>
+ <emphasis>ST_Crosses(A, B) ⇔ (dim( I(A) ∩ I(B) ) < max( dim(I(A)), dim(I(B)) )) ∧ (a ∩ b ≠ a) ∧ (a ∩ b ≠ b) </emphasis></para>
<para>Geometries cross if their DE-9IM Intersection Matrix matches:</para>
-----------------------------------------------------------------------
Summary of changes:
doc/reference_relationship.xml | 22 +++++++++-------------
1 file changed, 9 insertions(+), 13 deletions(-)
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