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<h3>
Bas Couwenberg pushed to branch experimental
at <a href="https://salsa.debian.org/debian-gis-team/postgis">Debian GIS Project / postgis</a>
</h3>
<h4>
Commits:
</h4>
<ul>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/postgis/-/commit/705f41a1820a3c3ee035cb2d3fea34aabbd4d4a2">705f41a1</a></strong>
<div>
<span>by Bas Couwenberg</span>
<i>at 2020-12-11T19:36:55+01:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">New upstream version 3.1.0~beta2+dfsg</pre>
</li>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/postgis/-/commit/0027d7aa1eaf4b58e432c310abed5ca4ad8faf6f">0027d7aa</a></strong>
<div>
<span>by Bas Couwenberg</span>
<i>at 2020-12-11T19:37:33+01:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Update upstream source from tag 'upstream/3.1.0_beta2+dfsg'
Update to upstream version '3.1.0~beta2+dfsg'
with Debian dir 6cec877a9d5b1d16f5e4bb06d64a0e5a52524150</pre>
</li>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/postgis/-/commit/0e8ca5f770b70ebd5cd2ffbcfc07a84957bc5087">0e8ca5f7</a></strong>
<div>
<span>by Bas Couwenberg</span>
<i>at 2020-12-11T19:38:12+01:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">New upstream beta release.
</pre>
</li>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/postgis/-/commit/5686deb82f5bd5f1b855e469b8f31c1b8bcd227d">5686deb8</a></strong>
<div>
<span>by Bas Couwenberg</span>
<i>at 2020-12-11T19:40:31+01:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Update upstream metadata.
</pre>
</li>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/postgis/-/commit/e28f46359e87f1aece19ce05ee3eaeff9bdfe600">e28f4635</a></strong>
<div>
<span>by Bas Couwenberg</span>
<i>at 2020-12-11T19:40:50+01:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Set distribution to experimental.
</pre>
</li>
</ul>
<h4>27 changed files:</h4>
<ul>
<li class="file-stats">
<a href="#00fe7828d56d7a3ee4030d6cea057cf13f50e70c">
ChangeLog
</a>
</li>
<li class="file-stats">
<a href="#9f621eb5fd3bcb2fa5c7bd228c9b1ad42edc46c8">
NEWS
</a>
</li>
<li class="file-stats">
<a href="#25ce328bd51b7057de655043f4bab61ee63f1f48">
Version.config
</a>
</li>
<li class="file-stats">
<a href="#f95eb5ac4c97a874fbc015b2e9b0f8f3255e973b">
ci/winnie/build_postgis.sh
</a>
</li>
<li class="file-stats">
<a href="#7abc8ef4c837a19421e9b7d84581689c22da6419">
ci/winnie/regress_postgis.sh
</a>
</li>
<li class="file-stats">
<a href="#9c96da0e9f91d7d8937b69b524702c106258f0d1">
debian/changelog
</a>
</li>
<li class="file-stats">
<a href="#f5606a935d95a2f20059a7ac1136f47b2edadbf6">
debian/upstream/metadata
</a>
</li>
<li class="file-stats">
<a href="#694fd9de1b981da887ed0ddeff4edcb6ca5424f0">
doc/.tx/config
</a>
</li>
<li class="file-stats">
<a href="#d854614b819e3dff5e9c8ac9180bbcab810d1d30">
doc/Makefile.in
</a>
</li>
<li class="file-stats">
<a href="#98a8af2ff2efcc7a761efd853ccc300d0dd12c71">
doc/postgis.xml
</a>
</li>
<li class="file-stats">
<a href="#ce9c380276d030b24b8ceb212e5c0f88a25114cc">
doc/reference_relationship.xml
</a>
</li>
<li class="file-stats">
<a href="#1bd19353fa7f4b15c10c0109dcfea02547c1e0e6">
doc/reference_validation.xml
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</li>
<li class="file-stats">
<a href="#9c359cc305c47482ccc10772d4597a30b59a8884">
doc/usage.xml
</a>
</li>
<li class="file-stats">
<a href="#65c63874d2e8cd4569e93fb3499b447b6863f504">
doc/using_postgis_dataman.xml
</a>
</li>
<li class="file-stats">
<a href="#cba6c82874de03d75982b7e7c056585094406f92">
<span class="new-file">
+
doc/using_postgis_query.xml
</span>
</a>
</li>
<li class="file-stats">
<a href="#e2f4f3d301d8823b6c25716fa3c53adcc66fba02">
extensions/address_standardizer/Makefile
</a>
</li>
<li class="file-stats">
<a href="#2341033f21e4c7183ccb234e8b2ed75de2d3d0eb">
extensions/postgis_raster/Makefile
</a>
</li>
<li class="file-stats">
<a href="#a856d7b2aa1a2463a37d96bac0d18e3d8e9f2156">
liblwgeom/cunit/cu_geos.c
</a>
</li>
<li class="file-stats">
<a href="#5f644d223cf1f1d824b653bfa1140b2b26ebb781">
liblwgeom/lwgeom_geos.c
</a>
</li>
<li class="file-stats">
<a href="#d245e65aa9e5457c6250c4a9bf445dcadf0cb043">
liblwgeom/lwgeom_geos_clean.c
</a>
</li>
<li class="file-stats">
<a href="#b06c7a6b2a698377d3124f9d751eec6dd78453b8">
postgis/lwgeom_geos_clean.c
</a>
</li>
<li class="file-stats">
<a href="#62cafe89efb9f33095af7456033d59e742afd4e4">
postgis/sqldefines.h
</a>
</li>
<li class="file-stats">
<a href="#a12eec8002ed303683704f9120b4783f86e1a243">
postgis_revision.h
</a>
</li>
<li class="file-stats">
<a href="#048d6276b44a9d9f3519b5a9ea1c62a76f1af2c3">
regress/core/clean.sql
</a>
</li>
<li class="file-stats">
<a href="#ee2efb288d8b2eb045b440f8057ae52c6580f6a4">
regress/core/clean_expected
</a>
</li>
<li class="file-stats">
<a href="#974006fbe2dc4f0eb150b305dbd8a2f6234e0cb0">
<span class="new-file">
+
regress/core/geos_noop.sql
</span>
</a>
</li>
<li class="file-stats">
<a href="#f93b558dcc116661ee16f94b14182e01fc4574d2">
<span class="new-file">
+
regress/core/geos_noop_expected
</span>
</a>
</li>
</ul>
<h4>Changes:</h4>
<li id="00fe7828d56d7a3ee4030d6cea057cf13f50e70c">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#00fe7828d56d7a3ee4030d6cea057cf13f50e70c"><strong>ChangeLog</strong></a>
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1
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="plaintext">2020-12-11 Martin Davis <mtnclimb@gmail.com></span>
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2
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="plaintext"></span>
</pre>
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<td class="diff-line-num new new_line" data-linenumber="3" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC3" class="line" lang="plaintext"> * doc/using_postgis_query.xml: Improve doc usage spatial rel section</span>
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4
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="plaintext">2020-12-08 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="plaintext"> * NEWS, doc/reference_validation.xml,</span>
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<td class="diff-line-num new new_line" data-linenumber="8" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="plaintext"> liblwgeom/lwgeom_geos_clean.c, postgis/lwgeom_geos_clean.c,</span>
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="plaintext"> regress/core/clean.sql, regress/core/clean_expected: Have</span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="plaintext"> ST_MakeValid remove coordinates with NaN values Closes #4813</span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="plaintext">2020-12-10 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="plaintext"> * doc/using_postgis_dataman.xml: Improve doc Data Management</span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="plaintext"> sections</span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="plaintext">2020-12-10 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="plaintext"> * doc/reference_relationship.xml: Fix doc distance function</span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="plaintext"> descriptions</span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="plaintext">2020-12-10 Regina Obe <lr@pcorp.us></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="plaintext"> * ci/winnie/build_postgis.sh, ci/winnie/regress_postgis.sh: Get rid</span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="plaintext"> of winnie's with --with-library-minor-version before release in prep</span>
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="plaintext"> for real packaging</span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="plaintext">2020-12-10 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">+<span id="LC29" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="plaintext"> * doc/.tx/config, doc/Makefile.in, doc/postgis.xml,</span>
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<pre style="margin: 0;">+<span id="LC31" class="line" lang="plaintext"> doc/reference_relationship.xml, doc/usage.xml,</span>
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="plaintext"> doc/using_postgis_dataman.xml, doc/using_postgis_query.xml: Add doc</span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="plaintext"> Spatial Query section</span>
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC35" class="line" lang="plaintext">2020-12-10 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC37" class="line" lang="plaintext"> * doc/using_postgis_dataman.xml: Improve doc SRS section</span>
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<pre style="margin: 0;">+<span id="LC38" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC39" class="line" lang="plaintext">2020-12-10 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">+<span id="LC41" class="line" lang="plaintext"> * NEWS, Version.config: Target 3.1.0beta2, add NEWS item of last</span>
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<pre style="margin: 0;">+<span id="LC42" class="line" lang="plaintext"> commits</span>
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<pre style="margin: 0;">+<span id="LC44" class="line" lang="plaintext">2020-12-10 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">+<span id="LC46" class="line" lang="plaintext"> * liblwgeom/cunit/cu_geos.c: Update unit test of geos_noop after</span>
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<pre style="margin: 0;">+<span id="LC47" class="line" lang="plaintext"> previous commit References #4814 in master branch (3.1.0dev)</span>
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<pre style="margin: 0;">+<span id="LC49" class="line" lang="plaintext">2020-12-10 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">+<span id="LC51" class="line" lang="plaintext"> * liblwgeom/lwgeom_geos.c, regress/core/geos_noop.sql,</span>
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="plaintext"> regress/core/geos_noop_expected: Do not drop empty geometry</span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="plaintext"> components when converting to GEOS References #4814 in master branch (3.1.0dev)</span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="plaintext">2020-12-10 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="plaintext"> * liblwgeom/lwgeom_geos.c, regress/core/geos_noop.sql,</span>
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<pre style="margin: 0;">+<span id="LC58" class="line" lang="plaintext"> regress/core/geos_noop_expected: Fix GEOS conversion of POINT EMPTY</span>
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<pre style="margin: 0;">+<span id="LC59" class="line" lang="plaintext"> to retain type References #4815 in master branch</span>
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<pre style="margin: 0;"> <span id="LC61" class="line" lang="plaintext">2020-12-09 Paul Ramsey <pramsey@cleverelephant.ca></span>
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<pre style="margin: 0;"> <span id="LC63" class="line" lang="plaintext"> * NEWS, README.postgis, Version.config, doc/release_notes.xml: </span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -38,65 +98,5 @@</td>
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<pre style="margin: 0;"> <span id="LC99" class="line" lang="plaintext">2020-12-07 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC41" class="line" lang="plaintext"> * doc/using_postgis_app.xml, doc/using_postgis_dataman.xml: Improve</span>
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<pre style="margin: 0;">-<span id="LC42" class="line" lang="plaintext"> Doc data management section</span>
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<pre style="margin: 0;">-<span id="LC43" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC44" class="line" lang="plaintext">2020-12-07 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC45" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC46" class="line" lang="plaintext"> * doc/performance_tips.xml, doc/reference_relationship.xml,</span>
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<pre style="margin: 0;">-<span id="LC47" class="line" lang="plaintext"> doc/usage.xml, doc/using_postgis_app.xml: Misc Doc Usage changes</span>
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<pre style="margin: 0;">-<span id="LC48" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC49" class="line" lang="plaintext">2020-12-07 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC50" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC51" class="line" lang="plaintext"> * doc/using_postgis_app.xml: Make Doc Using PG titles consistent</span>
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<pre style="margin: 0;">-<span id="LC52" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC53" class="line" lang="plaintext">2020-12-07 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC55" class="line" lang="plaintext"> * doc/reference_relationship.xml, doc/using_postgis_dataman.xml: </span>
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<pre style="margin: 0;">-<span id="LC56" class="line" lang="plaintext"> Improve doc for DE-9IM and relate</span>
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<pre style="margin: 0;">-<span id="LC57" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC58" class="line" lang="plaintext">2020-12-07 Paul Ramsey <pramsey@cleverelephant.ca></span>
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<pre style="margin: 0;">-<span id="LC59" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC60" class="line" lang="plaintext"> * regress/core/in_gml.sql: Add EPSG:8857 to set of missing SRS for</span>
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<pre style="margin: 0;">-<span id="LC61" class="line" lang="plaintext"> GML test, Closes #4810w</span>
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<pre style="margin: 0;">-<span id="LC62" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC63" class="line" lang="plaintext">2020-12-07 Paul Ramsey <pramsey@cleverelephant.ca></span>
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<pre style="margin: 0;">-<span id="LC64" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC65" class="line" lang="plaintext"> * liblwgeom/lwin_wkt.c, regress/core/tickets.sql,</span>
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<pre style="margin: 0;">-<span id="LC66" class="line" lang="plaintext"> regress/core/tickets_expected: Handle SRID=999999 consistently with</span>
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<pre style="margin: 0;">-<span id="LC67" class="line" lang="plaintext"> other high SRID numbers. Closes #4812</span>
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<pre style="margin: 0;">-<span id="LC69" class="line" lang="plaintext">2020-12-07 Paul Ramsey <pramsey@cleverelephant.ca></span>
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<pre style="margin: 0;">-<span id="LC71" class="line" lang="plaintext"> * : commit 22cebe4b3c762ba13574e48b00c79779dcf3b190 Author: Paul</span>
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<pre style="margin: 0;">-<span id="LC72" class="line" lang="plaintext"> Ramsey <pramsey@cleverelephant.ca> Date: Mon Dec 7 10:08:03 2020</span>
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<pre style="margin: 0;">-<span id="LC73" class="line" lang="plaintext"> -0800</span>
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<pre style="margin: 0;">-<span id="LC75" class="line" lang="plaintext">2020-12-07 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC76" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC77" class="line" lang="plaintext"> * doc/database_tuning.xml: Improve Doc tuning section</span>
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<pre style="margin: 0;">-<span id="LC78" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC79" class="line" lang="plaintext">2020-12-07 Sandro Santilli <strk@kbt.io></span>
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<pre style="margin: 0;">-<span id="LC80" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC81" class="line" lang="plaintext"> * extensions/upgradeable_versions.mk: Add support for upgrading from</span>
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<pre style="margin: 0;">-<span id="LC82" class="line" lang="plaintext"> 2.5.5</span>
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<pre style="margin: 0;">-<span id="LC83" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC84" class="line" lang="plaintext">2020-12-06 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC85" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC86" class="line" lang="plaintext"> * doc/reference_processing.xml: Improve Doc Ref for processing</span>
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<pre style="margin: 0;">-<span id="LC87" class="line" lang="plaintext"> functions</span>
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<pre style="margin: 0;">-<span id="LC88" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC89" class="line" lang="plaintext">2020-12-06 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC90" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC91" class="line" lang="plaintext"> * doc/reference_processing.xml, doc/reference_relationship.xml: </span>
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<pre style="margin: 0;">-<span id="LC92" class="line" lang="plaintext"> Improve Doc Ref descriptions</span>
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<pre style="margin: 0;">-<span id="LC93" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC94" class="line" lang="plaintext">2020-12-06 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC95" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC96" class="line" lang="plaintext"> * doc/reference_processing.xml: Improve Doc Ref for processing</span>
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<pre style="margin: 0;">-<span id="LC97" class="line" lang="plaintext"> functions</span>
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<pre style="margin: 0;">-<span id="LC98" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC99" class="line" lang="plaintext">2020-12-06 Martin Davis <mtnclimb@gmail.com></span>
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<pre style="margin: 0;">-<span id="LC100" class="line" lang="plaintext"></span>
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101
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<pre style="margin: 0;">-<span id="LC101" class="line" lang="plaintext"> * Move Doc Ref functions to better sections</span>
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<pre style="margin: 0;">+<span id="LC101" class="line" lang="plaintext"> * Improve Doc data management section</span>
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102
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102
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<pre style="margin: 0;"> <span id="LC102" class="line" lang="plaintext"></span></pre>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="mosel"><span class="n" style="color: #333;">PostGIS</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;">beta2</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="mosel"><span class="m" style="color: #099;">2020</span><span class="p">/</span><span class="m" style="color: #099;">12</span><span class="p">/</span><span class="n" style="color: #333;">DD</span></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="mosel"><span class="n" style="color: #333;">Only</span> <span class="n" style="color: #333;">tickets</span> <span class="k" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">included</span> <span class="k" style="font-weight: 600;">in</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;">beta1</span></span>
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4
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="mosel"></span>
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5
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="mosel"> <span class="p">*</span> <span class="n" style="color: #333;">Enhancements</span> <span class="p">*</span></span>
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6
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="mosel"> <span class="p">-</span> <span class="p">#</span><span class="m" style="color: #099;">4814</span><span class="p">,</span> <span class="k" style="font-weight: 600;">Do</span> <span class="k" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">drop</span> <span class="n" style="color: #333;">empty</span> <span class="n" style="color: #333;">geometry</span> <span class="n" style="color: #333;">components</span> <span class="n" style="color: #333;">when</span> <span class="n" style="color: #333;">converting</span></span>
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7
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="mosel"> <span class="k" style="font-weight: 600;">to</span> <span class="n" style="color: #333;">GEOS</span> <span class="p">(</span><span class="n" style="color: #333;">Sandro</span> <span class="n" style="color: #333;">Santilli</span><span class="p">)</span></span>
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8
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="mosel"> <span class="p">-</span> <span class="p">#</span><span class="m" style="color: #099;">4815</span><span class="p">,</span> <span class="n" style="color: #333;">Fix</span> <span class="n" style="color: #333;">GEOS</span> <span class="n" style="color: #333;">conversion</span> <span class="k" style="font-weight: 600;">of</span> <span class="n" style="color: #333;">POINT</span> <span class="n" style="color: #333;">EMPTY</span> <span class="k" style="font-weight: 600;">to</span> <span class="n" style="color: #333;">retain</span> <span class="n" style="color: #333;">type</span></span>
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9
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="mosel"> <span class="p">(</span><span class="n" style="color: #333;">Sandro</span> <span class="n" style="color: #333;">Santilli</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="10" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
10
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="mosel"> <span class="p">-</span> <span class="p">#</span><span class="m" style="color: #099;">4813</span><span class="p">,</span> <span class="n" style="color: #333;">ST_MakeValid</span> <span class="n" style="color: #333;">removing</span> <span class="n" style="color: #333;">NaN</span> <span class="n" style="color: #333;">coordinates</span> <span class="p">(</span><span class="n" style="color: #333;">Sandro</span> <span class="n" style="color: #333;">Santilli</span><span class="p">)</span></span>
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11
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="mosel"></span>
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1
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12
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="mosel"><span class="n" style="color: #333;">PostGIS</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;">beta1</span></span>
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2
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13
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="mosel"><span class="m" style="color: #099;">2020</span><span class="p">/</span><span class="m" style="color: #099;">12</span><span class="p">/</span><span class="m" style="color: #099;">09</span></span>
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3
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<pre style="margin: 0;">-<span id="LC3" class="line" lang="mosel"><span class="n" style="color: #333;">Only</span> <span class="n" style="color: #333;">tickets</span> <span class="k" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">included</span> <span class="k" style="font-weight: 600;">in</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;"><span class="idiff left right">beta1</span></span></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="mosel"><span class="n" style="color: #333;">Only</span> <span class="n" style="color: #333;">tickets</span> <span class="k" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">included</span> <span class="k" style="font-weight: 600;">in</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;"><span class="idiff left right">alpha3</span></span></span>
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4
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15
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<pre style="margin: 0;"> <span id="LC15" class="line" lang="mosel"></span>
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5
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<td class="diff-line-num new_line" data-linenumber="16" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
16
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="mosel"> <span class="p">*</span> <span class="n" style="color: #333;">Breaking</span> <span class="n" style="color: #333;">changes</span> <span class="p">*</span></span>
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6
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<td class="diff-line-num new_line" data-linenumber="17" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
17
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<pre style="margin: 0;"> <span id="LC17" class="line" lang="mosel"> <span class="p">-</span> <span class="p">#</span><span class="m" style="color: #099;">4214</span><span class="p">,</span> <span class="n" style="color: #333;">Deprecated</span> <span class="n" style="color: #333;">ST_Count</span><span class="p">(</span><span class="n" style="color: #333;">tablename</span><span class="p">,...),</span> <span class="n" style="color: #333;">ST_ApproxCount</span><span class="p">(</span><span class="n" style="color: #333;">tablename</span><span class="p">,</span> <span class="p">...)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="21" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="32" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -21,6 +32,7 @@ Only tickets not included in 3.1.0beta1</td>
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21
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32
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="mosel"> <span class="p">-</span> <span class="n" style="color: #333;">Fix</span> <span class="n" style="color: #333;">axis</span> <span class="n" style="color: #333;">order</span> <span class="n" style="color: #333;">issue</span> <span class="k" style="font-weight: 600;">with</span> <span class="n" style="color: #333;">urn</span><span class="p">:</span><span class="n" style="color: #333;">ogc</span><span class="p">:</span><span class="n" style="color: #333;">def</span><span class="p">:</span><span class="n" style="color: #333;">crs</span><span class="p">:</span><span class="n" style="color: #333;">EPSG</span> <span class="k" style="font-weight: 600;">in</span> <span class="n" style="color: #333;">ST_GeomFromGML</span><span class="p">()</span></span>
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22
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33
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<pre style="margin: 0;"> <span id="LC33" class="line" lang="mosel"> <span class="p">(</span><span class="n" style="color: #333;">Even</span> <span class="n" style="color: #333;">Roualt</span><span class="p">)</span></span>
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23
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34
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="mosel"></span>
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<pre style="margin: 0;">+<span id="LC35" class="line" lang="mosel"></span>
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24
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="mosel"><span class="n" style="color: #333;">PostGIS</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;">alpha3</span></span>
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25
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="mosel"><span class="m" style="color: #099;">2020</span><span class="p">/</span><span class="m" style="color: #099;">11</span><span class="p">/</span><span class="m" style="color: #099;">19</span></span>
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26
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="mosel"><span class="n" style="color: #333;">Only</span> <span class="n" style="color: #333;">tickets</span> <span class="k" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">included</span> <span class="k" style="font-weight: 600;">in</span> <span class="m" style="color: #099;">3.1.0</span><span class="n" style="color: #333;">alpha2</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#25ce328bd51b7057de655043f4bab61ee63f1f48"><strong>Version.config</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -5,7 +5,7 @@</td>
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5
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5
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="conf"></span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="conf"><span class="n" style="color: #333;">POSTGIS_MAJOR_VERSION</span>=<span class="m" style="color: #099;">3</span></span>
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7
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="conf"><span class="n" style="color: #333;">POSTGIS_MINOR_VERSION</span>=<span class="m" style="color: #099;">1</span></span>
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8
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<pre style="margin: 0;">-<span id="LC8" class="line" lang="conf"><span class="n" style="color: #333;">POSTGIS_MICRO_VERSION</span>=<span class="m" style="color: #099;">0</span><span class="n" style="color: #333;">beta<span class="idiff left right">1</span></span></span>
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8
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="conf"><span class="n" style="color: #333;">POSTGIS_MICRO_VERSION</span>=<span class="m" style="color: #099;">0</span><span class="n" style="color: #333;">beta<span class="idiff left right">2</span></span></span>
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9
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9
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="conf"></span>
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10
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="conf"><span class="c" style="color: #998; font-style: italic;"># Liblwgeom interface versioning, reset to 0:0:0 (cur:age:rev)</span></span>
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11
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="conf"><span class="c" style="color: #998; font-style: italic;"># when changing POSTGIS_MINOR_VERSION</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#f95eb5ac4c97a874fbc015b2e9b0f8f3255e973b"><strong>ci/winnie/build_postgis.sh</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -167,7 +167,7 @@ LDFLAGS="-L${PGPATH}/lib -L${PROJECTS}/gdal/rel-${GDAL_VER}w${OS_BUILD}${GCC_TYP</td>
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-libiconv</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/rel-libiconv-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">ICON_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-xsldir</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/docbook/docbook-xsl-1.76.1 <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="shell"> <span class="nt" style="color: #000080;">--without-interrupt-tests</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;">-<span id="LC170" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff right">--with-library-minor-version</span></span></span>
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<pre style="margin: 0;">+<span id="LC170" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span></span>
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<pre style="margin: 0;"> <span id="LC171" class="line" lang="shell"><span class="k" style="font-weight: 600;">fi</span><span class="p">;</span></span>
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<pre style="margin: 0;"> <span id="LC172" class="line" lang="shell"></span>
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<pre style="margin: 0;"> <span id="LC173" class="line" lang="shell">make clean</span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#7abc8ef4c837a19421e9b7d84581689c22da6419"><strong>ci/winnie/regress_postgis.sh</strong></a>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="156" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="156" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -156,7 +156,7 @@ LDFLAGS="-Wl,--enable-auto-import -L${PGPATH}/lib -L${PROJECTS}/rel-libiconv-${I</td>
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156
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<pre style="margin: 0;"> <span id="LC156" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-gui</span> <span class="nt" style="color: #000080;">--with-gettext</span><span class="o" style="font-weight: 600;">=</span>no <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC157" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-sfcgal</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/CGAL/rel-sfcgal-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">SFCGAL_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span>/bin/sfcgal-config <span class="se" style="color: #d14;">\</span></span>
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158
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<pre style="margin: 0;"> <span id="LC158" class="line" lang="shell"> <span class="nt" style="color: #000080;">--without-interrupt-tests</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;">-<span id="LC159" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff right">--with-library-minor-version</span></span></span>
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<pre style="margin: 0;">+<span id="LC159" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span></span>
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160
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<pre style="margin: 0;"> <span id="LC160" class="line" lang="shell"> <span class="c" style="color: #998; font-style: italic;">#exit</span></span>
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161
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161
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<pre style="margin: 0;"> <span id="LC161" class="line" lang="shell"><span class="k" style="font-weight: 600;">else</span></span>
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162
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<pre style="margin: 0;"> <span id="LC162" class="line" lang="shell"><span class="nv" style="color: #008080;">CPPFLAGS</span><span class="o" style="font-weight: 600;">=</span><span class="s2" style="color: #d14;">"-I</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PGPATH</span><span class="k" style="font-weight: 600;">}</span><span class="s2" style="color: #d14;">/include -I</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span><span class="s2" style="color: #d14;">/rel-libiconv-</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">ICON_VER</span><span class="k" style="font-weight: 600;">}</span><span class="s2" style="color: #d14;">w</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span><span class="s2" style="color: #d14;">/include"</span> <span class="se" style="color: #d14;">\</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -169,7 +169,7 @@ LDFLAGS="-L${PGPATH}/lib -L${PROJECTS}/gdal/rel-${GDAL_VER}w${OS_BUILD}${GCC_TYP</td>
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-libiconv</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/rel-libiconv-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">ICON_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC170" class="line" lang="shell"> <span class="nt" style="color: #000080;">--with-xsldir</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/docbook/docbook-xsl-1.76.1 <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC171" class="line" lang="shell"> <span class="nt" style="color: #000080;">--without-interrupt-tests</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;">-<span id="LC172" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff right">--with-library-minor-version</span></span></span>
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<pre style="margin: 0;">+<span id="LC172" class="line" lang="shell"> <span class="nt" style="color: #000080;">--prefix</span><span class="o" style="font-weight: 600;">=</span><span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">PROJECTS</span><span class="k" style="font-weight: 600;">}</span>/postgis/liblwgeom-<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">POSTGIS_VER</span><span class="k" style="font-weight: 600;">}</span>w<span class="k" style="font-weight: 600;">${</span><span class="nv" style="color: #008080;">OS_BUILD</span><span class="k" style="font-weight: 600;">}${</span><span class="nv" style="color: #008080;">GCC_TYPE</span><span class="k" style="font-weight: 600;">}</span></span>
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<pre style="margin: 0;"> <span id="LC173" class="line" lang="shell"><span class="k" style="font-weight: 600;">fi</span><span class="p">;</span></span>
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174
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<pre style="margin: 0;"> <span id="LC174" class="line" lang="shell"></span>
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<pre style="margin: 0;"> <span id="LC175" class="line" lang="shell"></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#9c96da0e9f91d7d8937b69b524702c106258f0d1"><strong>debian/changelog</strong></a>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="mosel"><span class="n" style="color: #333;">postgis</span> <span class="p">(</span><span class="m" style="color: #099;">3.1.0</span><span class="p">~</span><span class="n" style="color: #333;">beta2</span><span class="p">+</span><span class="n" style="color: #333;">dfsg</span><span class="p">-</span><span class="m" style="color: #099;">1</span><span class="p">~</span><span class="n" style="color: #333;">exp1</span><span class="p">)</span> <span class="n" style="color: #333;">experimental</span><span class="p">;</span> <span class="n" style="color: #333;">urgency</span><span class="p">=</span><span class="n" style="color: #333;">medium</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="mosel"></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="mosel"> <span class="p">*</span> <span class="n" style="color: #333;">New</span> <span class="n" style="color: #333;">upstream</span> <span class="n" style="color: #333;">beta</span> <span class="n" style="color: #333;">release</span><span class="p">.</span></span>
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="mosel"> <span class="p">*</span> <span class="n" style="color: #333;">Update</span> <span class="n" style="color: #333;">upstream</span> <span class="n" style="color: #333;">metadata</span><span class="p">.</span></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="mosel"></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="mosel"> <span class="p">--</span> <span class="n" style="color: #333;">Bas</span> <span class="n" style="color: #333;">Couwenberg</span> <span class="p"><</span><span class="n" style="color: #333;">sebastic</span><span class="p">@</span><span class="n" style="color: #333;">debian</span><span class="p">.</span><span class="n" style="color: #333;">org</span><span class="p">></span> <span class="n" style="color: #333;">Fri</span><span class="p">,</span> <span class="m" style="color: #099;">11</span> <span class="n" style="color: #333;">Dec</span> <span class="m" style="color: #099;">2020</span> <span class="m" style="color: #099;">19</span><span class="p">:</span><span class="m" style="color: #099;">40</span><span class="p">:</span><span class="m" style="color: #099;">34</span> <span class="p">+</span><span class="m" style="color: #099;">0100</span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="mosel"></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="mosel"><span class="n" style="color: #333;">postgis</span> <span class="p">(</span><span class="m" style="color: #099;">3.1.0</span><span class="p">~</span><span class="n" style="color: #333;">beta1</span><span class="p">+</span><span class="n" style="color: #333;">dfsg</span><span class="p">-</span><span class="m" style="color: #099;">1</span><span class="p">~</span><span class="n" style="color: #333;">exp1</span><span class="p">)</span> <span class="n" style="color: #333;">experimental</span><span class="p">;</span> <span class="n" style="color: #333;">urgency</span><span class="p">=</span><span class="n" style="color: #333;">medium</span></span>
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2
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="mosel"></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="mosel"> <span class="p">*</span> <span class="n" style="color: #333;">New</span> <span class="n" style="color: #333;">upstream</span> <span class="n" style="color: #333;">beta</span> <span class="n" style="color: #333;">release</span><span class="p">.</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#f5606a935d95a2f20059a7ac1136f47b2edadbf6"><strong>debian/upstream/metadata</strong></a>
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1
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<pre style="margin: 0;"> <span id="LC1" class="line" lang="plaintext">---</span>
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<pre style="margin: 0;"> <span id="LC2" class="line" lang="plaintext">Bug-Database: http://trac.osgeo.org/postgis/report</span>
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3
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3
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<pre style="margin: 0;"> <span id="LC3" class="line" lang="plaintext">#Bug-Submit: http://trac.osgeo.org/postgis/newticket</span>
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4
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<pre style="margin: 0;">-<span id="LC4" class="line" lang="plaintext">Contact: PostGIS Developers <postgis-devel@lists.osgeo.org></span>
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5
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<pre style="margin: 0;">-<span id="LC5" class="line" lang="plaintext">Registration: https://www.osgeo.org/cgi-bin/ldap_create_user.py</span>
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6
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4
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="plaintext">Repository: https://git.osgeo.org/gitea/postgis/postgis.git</span>
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7
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5
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="plaintext">Repository-Browse: https://git.osgeo.org/gitea/postgis/postgis</span></pre>
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<li id="694fd9de1b981da887ed0ddeff4edcb6ca5424f0">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#694fd9de1b981da887ed0ddeff4edcb6ca5424f0"><strong>doc/.tx/config</strong></a>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="161" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="161" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -161,6 +161,11 @@ file_filter = po/<lang>/using_postgis_dataman.xml.po</td>
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<pre style="margin: 0;"> <span id="LC161" class="line" lang="plaintext">source_file = po/templates/using_postgis_dataman.xml.pot</span>
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<pre style="margin: 0;"> <span id="LC162" class="line" lang="plaintext">source_lang = en</span>
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<pre style="margin: 0;"> <span id="LC163" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC164" class="line" lang="plaintext">[postgis.using_postgis_querypot]</span>
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<pre style="margin: 0;">+<span id="LC165" class="line" lang="plaintext">file_filter = po/<lang>/using_postgis_query.xml.po</span>
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<pre style="margin: 0;">+<span id="LC166" class="line" lang="plaintext">source_file = po/templates/using_postgis_query.xml.pot</span>
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<pre style="margin: 0;">+<span id="LC167" class="line" lang="plaintext">source_lang = en</span>
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<pre style="margin: 0;">+<span id="LC168" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="plaintext">[postgis.using_raster_datamanxmlpot]</span>
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<pre style="margin: 0;"> <span id="LC170" class="line" lang="plaintext">file_filter = po/<lang>/using_raster_dataman.xml.po</span>
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<pre style="margin: 0;"> <span id="LC171" class="line" lang="plaintext">source_file = po/templates/using_raster_dataman.xml.pot</span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="220" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="225" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -220,4 +225,3 @@ source_lang = en</td>
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<pre style="margin: 0;"> <span id="LC225" class="line" lang="plaintext">file_filter = po/<lang>/administration.xml.po</span>
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<pre style="margin: 0;"> <span id="LC226" class="line" lang="plaintext">source_file = po/templates/administration.xml.pot</span>
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<pre style="margin: 0;"> <span id="LC227" class="line" lang="plaintext">source_lang = en</span></pre>
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<pre style="margin: 0;">-<span id="LC223" class="line" lang="plaintext"></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#d854614b819e3dff5e9c8ac9180bbcab810d1d30"><strong>doc/Makefile.in</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -155,6 +155,7 @@ XML_SOURCES = \</td>
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<pre style="margin: 0;"> <span id="LC155" class="line" lang="make"> reporting.xml <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC156" class="line" lang="make"> using_postgis_app.xml <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC157" class="line" lang="make"> using_postgis_dataman.xml <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;">+<span id="LC158" class="line" lang="make"> using_postgis_query.xml <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC159" class="line" lang="make"> using_raster_dataman.xml</span>
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<pre style="margin: 0;"> <span id="LC160" class="line" lang="make"></span>
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<pre style="margin: 0;"> <span id="LC161" class="line" lang="make"><span class="nv" style="color: #008080;">XML_GENERATED_SOURCES</span> <span class="o" style="font-weight: 600;">=</span> <span class="se" style="color: #d14;">\</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#98a8af2ff2efcc7a761efd853ccc300d0dd12c71"><strong>doc/postgis.xml</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -20,6 +20,7 @@</td>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY administration SYSTEM "administration.xml"></span></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY usage SYSTEM "usage.xml"></span></span>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY using_postgis_dataman SYSTEM "using_postgis_dataman.xml"></span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY using_postgis_query SYSTEM "using_postgis_query.xml"></span></span>
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY using_raster_dataman SYSTEM "using_raster_dataman.xml"></span></span>
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<pre style="margin: 0;"> <span id="LC25" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY using_postgis_app SYSTEM "using_postgis_app.xml"></span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><!ENTITY performance_tips SYSTEM "performance_tips.xml"></span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#ce9c380276d030b24b8ceb212e5c0f88a25114cc"><strong>doc/reference_relationship.xml</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1403,7 +1403,7 @@ FROM (SELECT ST_Buffer(ST_GeomFromText('POINT(1 0.5)'), 3) As a,</td>
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<pre style="margin: 0;"> <span id="LC1403" class="line" lang="xml"> which is not evaluated by any named predicate.</span>
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<pre style="margin: 0;"> <span id="LC1404" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC1405" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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<pre style="margin: 0;">-<span id="LC1406" class="line" lang="xml"> For more information refer to <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">DE-9IM</span>"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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<pre style="margin: 0;">+<span id="LC1406" class="line" lang="xml"> For more information refer to <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">eval_spatial_rel</span>"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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<pre style="margin: 0;"> <span id="LC1407" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC1408" class="line" lang="xml"></span>
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1409
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1409
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<pre style="margin: 0;"> <span id="LC1409" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Variant 1:<span class="nt" style="color: #000080;"></emphasis></span> Tests if two geometries are spatially related</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1498,7 +1498,7 @@ FF1FF0102</td>
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1498
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1498
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<pre style="margin: 0;"> <span id="LC1498" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>See Also<span class="nt" style="color: #000080;"></title></span></span>
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1499
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1499
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<pre style="margin: 0;"> <span id="LC1499" class="line" lang="xml"></span>
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1500
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1500
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<pre style="margin: 0;"> <span id="LC1500" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1501
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<pre style="margin: 0;">-<span id="LC1501" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">DE-9IM</span>"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_RelateMatch"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1501
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<pre style="margin: 0;">+<span id="LC1501" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">eval_spatial_rel</span>"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_RelateMatch"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1502
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1502
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<pre style="margin: 0;"> <span id="LC1502" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Contains"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_ContainsProperly"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1503
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1503
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<pre style="margin: 0;"> <span id="LC1503" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Covers"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_CoveredBy"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1504
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1504
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<pre style="margin: 0;"> <span id="LC1504" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Crosses"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Disjoint"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Equals"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1536" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1536,7 +1536,7 @@ FF1FF0102</td>
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1536
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<pre style="margin: 0;"> <span id="LC1536" class="line" lang="xml"> Intersection matrix values can be computed by <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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1537
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1537
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<pre style="margin: 0;"> <span id="LC1537" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1538
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1538
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<pre style="margin: 0;"> <span id="LC1538" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1539
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<pre style="margin: 0;">-<span id="LC1539" class="line" lang="xml"> For more information refer to <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">DE-9IM</span>"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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1539
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<pre style="margin: 0;">+<span id="LC1539" class="line" lang="xml"> For more information refer to <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">eval_spatial_rel</span>"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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1540
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1540
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<pre style="margin: 0;"> <span id="LC1540" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1541
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1541
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<pre style="margin: 0;"> <span id="LC1541" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Performed by the GEOS module<span class="nt" style="color: #000080;"></para></span></span>
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1542
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1542
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<pre style="margin: 0;"> <span id="LC1542" class="line" lang="xml"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1587,7 +1587,7 @@ SELECT pat.name AS relationship, pat.val AS pattern,</td>
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1587
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1587
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<pre style="margin: 0;"> <span id="LC1587" class="line" lang="xml"> <span class="c" style="color: #998; font-style: italic;"><!-- Optionally add a "See Also" section --></span></span>
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1588
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1588
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<pre style="margin: 0;"> <span id="LC1588" class="line" lang="xml"> <span class="nt" style="color: #000080;"><refsection></span></span>
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<pre style="margin: 0;"> <span id="LC1589" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>See Also<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">-<span id="LC1590" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">DE-9IM</span>"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></para></span></span>
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<pre style="margin: 0;">+<span id="LC1590" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"<span class="idiff left right">eval_spatial_rel</span>"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></para></span></span>
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<pre style="margin: 0;"> <span id="LC1591" class="line" lang="xml"> <span class="nt" style="color: #000080;"></refsection></span></span>
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<pre style="margin: 0;"> <span id="LC1592" class="line" lang="xml"><span class="nt" style="color: #000080;"></refentry></span></span>
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<pre style="margin: 0;"> <span id="LC1593" class="line" lang="xml"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2073,7 +2073,7 @@ ST_DWithin(</td>
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<pre style="margin: 0;"> <span id="LC2073" class="line" lang="xml"> <span class="nt" style="color: #000080;"><parameter></span>distance_meters<span class="nt" style="color: #000080;"></parameter></paramdef></span></span>
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<pre style="margin: 0;"> <span id="LC2074" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC2075" class="line" lang="xml"> <span class="nt" style="color: #000080;"><paramdef</span> <span class="na" style="color: #008080;">choice=</span><span class="s" style="color: #d14;">"opt"</span><span class="nt" style="color: #000080;">><type></span>boolean <span class="nt" style="color: #000080;"></type></span></span>
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<pre style="margin: 0;">-<span id="LC2076" class="line" lang="xml"> <span class="nt" style="color: #000080;"><parameter></span>use_spheroid<span class="nt" style="color: #000080;"></parameter></paramdef></span></span>
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<pre style="margin: 0;">+<span id="LC2076" class="line" lang="xml"> <span class="nt" style="color: #000080;"><parameter></span>use_spheroid<span class="idiff left right"> = true</span><span class="nt" style="color: #000080;"></parameter></paramdef></span></span>
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<pre style="margin: 0;"> <span id="LC2077" class="line" lang="xml"> <span class="nt" style="color: #000080;"></funcprototype></span></span>
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<pre style="margin: 0;"> <span id="LC2078" class="line" lang="xml"> <span class="nt" style="color: #000080;"></funcsynopsis></span></span>
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<pre style="margin: 0;"> <span id="LC2079" class="line" lang="xml"> <span class="nt" style="color: #000080;"></refsynopsisdiv></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2085,28 +2085,28 @@ ST_DWithin(</td>
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<pre style="margin: 0;"> <span id="LC2085" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC2086" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For <span class="nt" style="color: #000080;"><type></span>geometry<span class="nt" style="color: #000080;"></type></span>: The distance is specified in units defined by the</span>
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<pre style="margin: 0;"> <span id="LC2087" class="line" lang="xml"> spatial reference system of the geometries. For this function to make</span>
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<pre style="margin: 0;">-<span id="LC2088" class="line" lang="xml"> sense, the source geometries must b<span class="idiff left right">oth be of the same coordinate projection,</span></span>
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<pre style="margin: 0;">-<span id="LC2089" class="line" lang="xml"> <span class="idiff left right">having the same SRID</span>.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC2088" class="line" lang="xml"> sense, the source geometries must b<span class="idiff left right">e in the same coordinate system</span></span>
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<pre style="margin: 0;">+<span id="LC2089" class="line" lang="xml"> <span class="idiff left right">(have the same SRID)</span>.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC2090" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2091" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For <span class="nt" style="color: #000080;"><type></span>geography<span class="nt" style="color: #000080;"></type></span> units are in meters and measurement is</span>
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<pre style="margin: 0;">-<span id="LC2092" class="line" lang="xml"> defaulted to <span class="nt" style="color: #000080;"><varname></span>use_spheroid<span class="nt" style="color: #000080;"></varname></span>=true, for faster check, <span class="nt" style="color: #000080;"><varname></span>use_spheroid<span class="nt" style="color: #000080;"></varname></span>=false to measure along sphere.</span>
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<pre style="margin: 0;">+<span id="LC2091" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For <span class="nt" style="color: #000080;"><type></span>geography<span class="nt" style="color: #000080;"></type></span>: units are in meters and distance measurement</span>
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2092
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<pre style="margin: 0;">+<span id="LC2092" class="line" lang="xml"> defaults to <span class="nt" style="color: #000080;"><varname></span>use_spheroid<span class="nt" style="color: #000080;"></varname></span>=true.</span>
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<pre style="margin: 0;">+<span id="LC2093" class="line" lang="xml"> For faster evaluation use <span class="nt" style="color: #000080;"><varname></span>use_spheroid<span class="nt" style="color: #000080;"></varname></span>=false to measure on the sphere.</span>
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2094
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<pre style="margin: 0;"> <span id="LC2094" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC2095" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC2096" class="line" lang="xml"> <span class="nt" style="color: #000080;"><note><para></span>Use <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_3DDWithin"</span><span class="nt" style="color: #000080;">/></span> for 3D geometries.<span class="nt" style="color: #000080;"></para></note></span></span>
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<pre style="margin: 0;">+<span id="LC2097" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC2098" class="line" lang="xml"> <span class="nt" style="color: #000080;"><note></span></span>
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<pre style="margin: 0;">-<span id="LC2096" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This function call <span class="idiff left right">will automatically include</span> a bounding box</span>
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<pre style="margin: 0;">-<span id="LC2097" class="line" lang="xml"> comparison that <span class="idiff left right">will make</span> use of any indexes that are available on</span>
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<pre style="margin: 0;">+<span id="LC2099" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This function call <span class="idiff left right">includes</span> a bounding box</span>
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<pre style="margin: 0;">+<span id="LC2100" class="line" lang="xml"> comparison that <span class="idiff left right">makes</span> use of any indexes that are available on</span>
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2101
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<pre style="margin: 0;"> <span id="LC2101" class="line" lang="xml"> the geometries.<span class="nt" style="color: #000080;"></para></span></span>
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2102
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<pre style="margin: 0;"> <span id="LC2102" class="line" lang="xml"> <span class="nt" style="color: #000080;"></note></span></span>
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2103
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<pre style="margin: 0;"> <span id="LC2103" class="line" lang="xml"></span>
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2104
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<pre style="margin: 0;"> <span id="LC2104" class="line" lang="xml"> <span class="nt" style="color: #000080;"><note></span></span>
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2105
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<pre style="margin: 0;"> <span id="LC2105" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Prior to 1.3, ST_Expand was commonly used in conjunction with <span class="ni" style="color: #800080;">&&</span> and ST_Distance to</span>
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2103
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<pre style="margin: 0;">-<span id="LC2103" class="line" lang="xml"> achieve the same effect and in pre-1.3.4 this function was basically short-hand for that construct.</span>
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<pre style="margin: 0;">-<span id="LC2104" class="line" lang="xml"> From 1.3.4, ST_DWithin uses a more short-circuit distance function which should make it more efficient</span>
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<pre style="margin: 0;">-<span id="LC2105" class="line" lang="xml"> than prior versions for larger buffer regions.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC2106" class="line" lang="xml"> test for distance, and in pre-1.3.4 this function used that logic.</span>
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2107
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<pre style="margin: 0;">+<span id="LC2107" class="line" lang="xml"> From 1.3.4, ST_DWithin uses a faster short-circuit distance function.<span class="nt" style="color: #000080;"></para></span></span>
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2106
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2108
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<pre style="margin: 0;"> <span id="LC2108" class="line" lang="xml"> <span class="nt" style="color: #000080;"></note></span></span>
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2107
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2109
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<pre style="margin: 0;"> <span id="LC2109" class="line" lang="xml"></span>
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2108
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<pre style="margin: 0;">-<span id="LC2108" class="line" lang="xml"> <span class="nt" style="color: #000080;"><note><para></span>Use ST_3DDWithin if you have 3D geometries.<span class="nt" style="color: #000080;"></para></note></span></span>
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2109
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<pre style="margin: 0;">-<span id="LC2109" class="line" lang="xml"></span>
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2110
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2110
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<pre style="margin: 0;"> <span id="LC2110" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="ni" style="color: #800080;">&sfs_compliant;</span><span class="nt" style="color: #000080;"></para></span></span>
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2111
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2111
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<pre style="margin: 0;"> <span id="LC2111" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Availability: 1.5.0 support for geography was introduced<span class="nt" style="color: #000080;"></para></span></span>
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2112
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2112
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<pre style="margin: 0;"> <span id="LC2112" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Enhanced: 2.1.0 improved speed for geography. See <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://blog.opengeo.org/2012/07/12/making-geography-faster/"</span><span class="nt" style="color: #000080;">></span>Making Geography faster<span class="nt" style="color: #000080;"></ulink></span> for details.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2186,10 +2186,10 @@ SELECT b.tower_id, b.geom</td>
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2186
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2186
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<pre style="margin: 0;"> <span id="LC2186" class="line" lang="xml"> circle with center <span class="nt" style="color: #000080;"><varname></span>center_x<span class="nt" style="color: #000080;"></varname></span>,<span class="nt" style="color: #000080;"><varname></span>center_y<span class="nt" style="color: #000080;"></varname></span></span>
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2187
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2187
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<pre style="margin: 0;"> <span id="LC2187" class="line" lang="xml"> and radius <span class="nt" style="color: #000080;"><varname></span>radius<span class="nt" style="color: #000080;"></varname></span>.</span>
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2188
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2188
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<pre style="margin: 0;"> <span id="LC2188" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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2189
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<pre style="margin: 0;">-<span id="LC2189" class="line" lang="xml"> <span class="nt" style="color: #000080;"><warning><para></span>Does use spatial indexes. Use <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_DWithin"</span> <span class="nt" style="color: #000080;">/></span> instead.<span class="nt" style="color: #000080;"></para></warning></span></span>
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2189
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<pre style="margin: 0;">+<span id="LC2189" class="line" lang="xml"> <span class="nt" style="color: #000080;"><warning><para></span>Does <span class="idiff left right">not </span>use spatial indexes. Use <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_DWithin"</span> <span class="nt" style="color: #000080;">/></span> instead.<span class="nt" style="color: #000080;"></para></warning></span></span>
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2190
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2190
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<pre style="margin: 0;"> <span id="LC2190" class="line" lang="xml"></span>
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2191
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2191
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<pre style="margin: 0;"> <span id="LC2191" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Availability: 1.2<span class="nt" style="color: #000080;"></para></span></span>
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2192
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<pre style="margin: 0;">-<span id="LC2192" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Changed: 2.2.0 In prior versions this <span class="idiff left right">used to be</span> called ST_Point_Inside_Circle<span class="nt" style="color: #000080;"></para></span></span>
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2192
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<pre style="margin: 0;">+<span id="LC2192" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Changed: 2.2.0 In prior versions this <span class="idiff left right">was</span> called ST_Point_Inside_Circle<span class="nt" style="color: #000080;"></para></span></span>
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2193
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2193
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<pre style="margin: 0;"> <span id="LC2193" class="line" lang="xml"> <span class="nt" style="color: #000080;"></refsection></span></span>
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2194
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<pre style="margin: 0;"> <span id="LC2194" class="line" lang="xml"></span>
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2195
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<pre style="margin: 0;"> <span id="LC2195" class="line" lang="xml"></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#1bd19353fa7f4b15c10c0109dcfea02547c1e0e6"><strong>doc/reference_validation.xml</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -320,6 +320,7 @@ SELECT ST_IsValidReason('LINESTRING(220227 150406,2220227 150407,222020 150410)'</td>
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320
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<pre style="margin: 0;"> <span id="LC320" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Availability: 2.0.0<span class="nt" style="color: #000080;"></para></span></span>
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321
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321
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<pre style="margin: 0;"> <span id="LC321" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Enhanced: 2.0.1, speed improvements<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC322" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Enhanced: 2.1.0, added support for GEOMETRYCOLLECTION and MULTIPOINT.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC323" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Enhanced: 3.1.0, added removal of Coordinates with NaN values.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC324" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC325" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="ni" style="color: #800080;">&Z_support;</span><span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC326" class="line" lang="xml"></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#9c359cc305c47482ccc10772d4597a30b59a8884"><strong>doc/usage.xml</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -3,6 +3,7 @@</td>
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<pre style="margin: 0;"> <span id="LC3" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>PostGIS Usage<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="xml"> <span class="ni" style="color: #800080;">&using_postgis_dataman;</span></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="xml"> <span class="ni" style="color: #800080;">&using_postgis_query;</span></span>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="xml"> <span class="ni" style="color: #800080;">&performance_tips;</span></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="xml"> <span class="ni" style="color: #800080;">&using_postgis_app;</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="xml"> <span class="ni" style="color: #800080;">&using_raster_dataman;</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#65c63874d2e8cd4569e93fb3499b447b6863f504"><strong>doc/using_postgis_dataman.xml</strong></a>
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<pre style="margin: 0;"> <span id="LC1" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><?xml version="1.0" encoding="UTF-8"?></span></span>
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<pre style="margin: 0;"> <span id="LC2" class="line" lang="xml"><span class="nt" style="color: #000080;"><sect1</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"using_postgis_dbmanagement"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">-<span id="LC3" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Data Management<span class="idiff left right"> and Queries</span><span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Data Management<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"RefObject"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>GIS Objects<span class="nt" style="color: #000080;"></title></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -524,11 +524,11 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC524" class="line" lang="xml"><span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;"> <span id="LC525" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC526" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2></span></span>
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<pre style="margin: 0;">-<span id="LC527" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span><span class="idiff left right">Using OpenGIS Standard</span>s<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC527" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span><span class="idiff left right">Spatial Metadata Table</span>s<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">-<span id="LC529" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The OpenGIS "Simple Features Specification for SQL" defines s<span class="idiff left right">tandard</span></span>
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<pre style="margin: 0;">-<span id="LC530" class="line" lang="xml"> <span class="idiff left right">GIS object types, the functions required to manipulate them, and a set of</span></span>
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<pre style="margin: 0;">-<span id="LC531" class="line" lang="xml"><span class="idiff left right"> meta-data tables. In order to ensure that meta-data remain</span> consistent,</span>
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<pre style="margin: 0;">+<span id="LC529" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The OpenGIS "Simple Features Specification for SQL" defines s<span class="idiff left right">ome</span></span>
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<pre style="margin: 0;">+<span id="LC530" class="line" lang="xml"> <span class="idiff left right">metadata tables to describe geometry table structure and coordinate systems.</span></span>
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<pre style="margin: 0;">+<span id="LC531" class="line" lang="xml"><span class="idiff left right"> In order to ensure that metadata remains</span> consistent,</span>
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<pre style="margin: 0;"> <span id="LC532" class="line" lang="xml"> operations such as creating and removing a spatial column are carried out</span>
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<pre style="margin: 0;"> <span id="LC533" class="line" lang="xml"> through special procedures defined by OpenGIS.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -541,30 +541,42 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC541" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"spatial_ref_sys"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;"> <span id="LC542" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>The SPATIAL_REF_SYS Table and Spatial Reference Systems<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;"> <span id="LC543" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC544" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The spatial_ref_sys table is a PostGIS included and OGC compliant database table that lists over 3000</span>
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<pre style="margin: 0;">-<span id="LC545" class="line" lang="xml"> known <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.sharpgis.net/post/2007/05/Spatial-references2c-coordinate-systems2c-projections2c-datums2c-ellipsoids-e28093-confusing.aspx"</span><span class="nt" style="color: #000080;">></span>spatial reference systems<span class="nt" style="color: #000080;"></ulink></span></span>
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<pre style="margin: 0;">-<span id="LC546" class="line" lang="xml"> and details needed to transform/reproject between them.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC544" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><varname></span>SPATIAL_REF_SYS<span class="nt" style="color: #000080;"></varname></span> table used by PostGIS</span>
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<pre style="margin: 0;">+<span id="LC545" class="line" lang="xml"> is an OGC-compliant database table that lists over 3000</span>
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<pre style="margin: 0;">+<span id="LC546" class="line" lang="xml"> known <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"https://en.wikipedia.org/wiki/Spatial_reference_system"</span><span class="nt" style="color: #000080;">></span>spatial reference systems<span class="nt" style="color: #000080;"></ulink></span></span>
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<pre style="margin: 0;">+<span id="LC547" class="line" lang="xml"> and details needed to transform (reproject) between them.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC548" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Although the PostGIS spatial_ref_sys table contains over 3000 of the more commonly used spatial reference system definitions that can be handled by the proj library, it does not contain all known to man and you can define your own custom projection if you are familiar with proj4 constructs. Keep in mind that most spatial reference systems are regional and have no meaning when used outside of the bounds they were intended for.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC549" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The PostGIS <span class="nt" style="color: #000080;"><varname></span>SPATIAL_REF_SYS<span class="nt" style="color: #000080;"></varname></span> table contains over 3000 of</span>
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<pre style="margin: 0;">+<span id="LC550" class="line" lang="xml"> the most common spatial reference system definitions that are handled by the</span>
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<pre style="margin: 0;">+<span id="LC551" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"https://proj.org"</span><span class="nt" style="color: #000080;">></span>PROJ<span class="nt" style="color: #000080;"></ulink></span> projection library.</span>
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<pre style="margin: 0;">+<span id="LC552" class="line" lang="xml"> But there are many coordinate systems that it does not contain.</span>
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<pre style="margin: 0;">+<span id="LC553" class="line" lang="xml"> You can define your own custom spatial reference system if you are familiar with PROJ constructs.</span>
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<pre style="margin: 0;">+<span id="LC554" class="line" lang="xml"> Keep in mind that most spatial reference systems are regional</span>
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<pre style="margin: 0;">+<span id="LC555" class="line" lang="xml"> and have no meaning when used outside of the bounds they were intended for.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC556" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC550" class="line" lang="xml"><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff"><para></span></span><span class="idiff right">An excellent</span> resource for finding spatial reference systems not defined in the core set is <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/"</span><span class="nt" style="color: #000080;">></span>http://spatialreference.org/<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">+<span id="LC557" class="line" lang="xml"><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff"><para></span></span><span class="idiff right">A</span> resource for finding spatial reference systems not defined in the core set is <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/"</span><span class="nt" style="color: #000080;">></span>http://spatialreference.org/<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;"> <span id="LC558" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC552" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Some of the more commonly used spatial reference systems are: <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/epsg/4326/"</span><span class="nt" style="color: #000080;">></span>4326 - WGS 84 Long Lat<span class="nt" style="color: #000080;"></ulink></span>,</span>
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<pre style="margin: 0;">+<span id="LC559" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Some commonly used spatial reference systems are:</span>
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<pre style="margin: 0;">+<span id="LC560" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/epsg/4326/"</span><span class="nt" style="color: #000080;">></span>4326 - WGS 84 Long Lat<span class="nt" style="color: #000080;"></ulink></span>,</span>
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<pre style="margin: 0;"> <span id="LC561" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/epsg/4269/"</span><span class="nt" style="color: #000080;">></span>4269 - NAD 83 Long Lat<span class="nt" style="color: #000080;"></ulink></span>,</span>
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<pre style="margin: 0;"> <span id="LC562" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/epsg/3395/"</span><span class="nt" style="color: #000080;">></span>3395 - WGS 84 World Mercator<span class="nt" style="color: #000080;"></ulink></span>,</span>
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<pre style="margin: 0;"> <span id="LC563" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/epsg/2163/"</span><span class="nt" style="color: #000080;">></span>2163 - US National Atlas Equal Area<span class="nt" style="color: #000080;"></ulink></span>,</span>
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<pre style="margin: 0;">-<span id="LC556" class="line" lang="xml"> Spatial reference systems for each NAD 83, WGS 84 UTM zone - UTM zones are one of the most ideal for measurement, but only cover 6-degree regions.</span>
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<pre style="margin: 0;">+<span id="LC564" class="line" lang="xml"> and the 60 WGS84 UTM zones.</span>
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<pre style="margin: 0;">+<span id="LC565" class="line" lang="xml"> UTM zones are one of the most ideal for measurement, but only cover 6-degree regions.</span>
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<pre style="margin: 0;">+<span id="LC566" class="line" lang="xml"> (To determine which UTM zone to use for your area of interest, see the <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://trac.osgeo.org/postgis/wiki/UsersWikiplpgsqlfunctionsDistance"</span><span class="nt" style="color: #000080;">></span>utmzone PostGIS plpgsql helper function<span class="nt" style="color: #000080;"></ulink></span>.)</span>
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<pre style="margin: 0;"> <span id="LC567" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC568" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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<pre style="margin: 0;">-<span id="LC559" class="line" lang="xml"> Various US state plane spatial reference systems (meter or feet based) - usually one or 2 exists per US state. Most of the meter ones are in the core set, but many of the</span>
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<pre style="margin: 0;">-<span id="LC560" class="line" lang="xml"> feet based ones or ESRI created ones you will need to pull from <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org"</span><span class="nt" style="color: #000080;">></span>spatialreference.org<span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;">-<span id="LC561" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC562" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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<pre style="margin: 0;">-<span id="LC563" class="line" lang="xml"> For details on determining which UTM zone to use for your area of interest, check out the <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://trac.osgeo.org/postgis/wiki/UsersWikiplpgsqlfunctionsDistance"</span><span class="nt" style="color: #000080;">></span>utmzone PostGIS plpgsql helper function<span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;">+<span id="LC569" class="line" lang="xml"> US states use State Plane spatial reference systems (meter or feet based) - usually one or 2 exists per state.</span>
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<pre style="margin: 0;">+<span id="LC570" class="line" lang="xml"> Most of the meter-based ones are in the core set, but many of the</span>
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<pre style="margin: 0;">+<span id="LC571" class="line" lang="xml"> feet-based ones or ESRI created ones will need to be copied from <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org"</span><span class="nt" style="color: #000080;">></span>spatialreference.org<span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;"> <span id="LC572" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC573" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC566" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><varname></span>SPATIAL_REF_SYS<span class="nt" style="color: #000080;"></varname></span> table definition is as</span>
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<pre style="margin: 0;">-<span id="LC567" class="line" lang="xml"> follows:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC574" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>You can even define non-Earth-based coordinate systems,</span>
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<pre style="margin: 0;">+<span id="LC575" class="line" lang="xml"> such as <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/iau2000/mars-2000/"</span><span class="nt" style="color: #000080;">></span>Mars 2000<span class="nt" style="color: #000080;"></ulink></span></span>
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<pre style="margin: 0;">+<span id="LC576" class="line" lang="xml"> This Mars coordinate system is non-planar (it's in degrees spheroidal),</span>
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<pre style="margin: 0;">+<span id="LC577" class="line" lang="xml"> but you can use it with the <span class="nt" style="color: #000080;"><varname></span>geography<span class="nt" style="color: #000080;"></varname></span> type to obtain length and proximity measurements in meters instead of degrees.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC578" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC579" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><varname></span>SPATIAL_REF_SYS<span class="nt" style="color: #000080;"></varname></span> table definition is:<span class="nt" style="color: #000080;"></para></span></span>
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580
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<pre style="margin: 0;"> <span id="LC580" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC581" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>CREATE TABLE spatial_ref_sys (</span>
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<pre style="margin: 0;"> <span id="LC582" class="line" lang="xml"> srid INTEGER NOT NULL PRIMARY KEY,</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -574,16 +586,15 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC586" class="line" lang="xml"> proj4text VARCHAR(2048)</span>
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<pre style="margin: 0;"> <span id="LC587" class="line" lang="xml">)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;"> <span id="LC588" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC577" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><varname></span>SPATIAL_REF_SYS<span class="nt" style="color: #000080;"></varname></span> columns are as</span>
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<pre style="margin: 0;">-<span id="LC578" class="line" lang="xml"> follows:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC589" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The columns are:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC590" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC591" class="line" lang="xml"> <span class="nt" style="color: #000080;"><variablelist></span></span>
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<pre style="margin: 0;"> <span id="LC592" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varlistentry></span></span>
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<pre style="margin: 0;">-<span id="LC582" class="line" lang="xml"> <span class="nt" style="color: #000080;"><term><span class="idiff left"><ulink</span></span><span class="idiff"> </span><span class="na" style="color: #008080;"><span class="idiff">url=</span></span><span class="s" style="color: #d14;"><span class="idiff">"http://en.wikipedia.org/wiki/SRID"</span></span><span class="nt" style="color: #000080;"><span class="idiff">></span></span><span class="idiff">SRID</span><span class="nt" style="color: #000080;"><span class="idiff right"></ulink></span></term></span></span>
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<pre style="margin: 0;">+<span id="LC593" class="line" lang="xml"> <span class="nt" style="color: #000080;"><term></span><span class="idiff left right">SRID</span><span class="nt" style="color: #000080;"></term></span></span>
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<pre style="margin: 0;"> <span id="LC594" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC595" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">-<span id="LC585" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>An integer <span class="idiff left right">value that uniquely identifies the </span>Spatial</span>
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<pre style="margin: 0;">-<span id="LC586" class="line" lang="xml"> Referenc<span class="idiff left right">ing System</span> (SRS) within the database.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC596" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>An integer <span class="idiff left">code that uniquely identifies the </span><span class="nt" style="color: #000080;"><span class="idiff"><ulink</span></span><span class="idiff"> </span><span class="na" style="color: #008080;"><span class="idiff">url=</span></span><span class="s" style="color: #d14;"><span class="idiff">"http://en.wikipedia.org/wiki/SRID"</span></span><span class="nt" style="color: #000080;"><span class="idiff right">></span></span>Spatial</span>
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<pre style="margin: 0;">+<span id="LC597" class="line" lang="xml"> Referenc<span class="idiff left">e System</span><span class="nt" style="color: #000080;"><span class="idiff right"></ulink></span></span> (SRS) within the database.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -592,7 +603,7 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC605" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The name of the standard or standards body that is being</span>
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<pre style="margin: 0;">-<span id="LC595" class="line" lang="xml"> cited for this reference system. For example, "EPSG" <span class="idiff left right">would be</span> a</span>
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<pre style="margin: 0;">+<span id="LC606" class="line" lang="xml"> cited for this reference system. For example, "EPSG" <span class="idiff left right">is</span> a</span>
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<pre style="margin: 0;"> <span id="LC607" class="line" lang="xml"> valid <span class="nt" style="color: #000080;"><varname></span>AUTH_NAME<span class="nt" style="color: #000080;"></varname></span>.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC608" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;"> <span id="LC609" class="line" lang="xml"> <span class="nt" style="color: #000080;"></varlistentry></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -634,7 +645,7 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC645" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For a listing of EPSG projection codes and their</span>
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<pre style="margin: 0;"> <span id="LC646" class="line" lang="xml"> corresponding WKT representations, see <span class="nt" style="color: #000080;"><ulink</span></span>
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<pre style="margin: 0;"> <span id="LC647" class="line" lang="xml"> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/"</span><span class="nt" style="color: #000080;">></span>http://www.opengeospatial.org/<span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;">-<span id="LC637" class="line" lang="xml"> For a discussion of WKT in general, see the OpenGIS "Coordinate</span>
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<pre style="margin: 0;">+<span id="LC648" class="line" lang="xml"> For a discussion of <span class="idiff left right">SRS </span>WKT in general, see the OpenGIS "Coordinate</span>
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<pre style="margin: 0;"> <span id="LC649" class="line" lang="xml"> Transformation Services Implementation Specification" at <span class="nt" style="color: #000080;"><ulink</span></span>
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<pre style="margin: 0;"> <span id="LC650" class="line" lang="xml"> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/standards"</span><span class="nt" style="color: #000080;">></span>http://www.opengeospatial.org/standards<span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;"> <span id="LC651" class="line" lang="xml"> For information on the European Petroleum Survey Group (EPSG) and</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -647,15 +658,15 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC658" class="line" lang="xml"> <span class="nt" style="color: #000080;"><term></span>PROJ4TEXT<span class="nt" style="color: #000080;"></term></span></span>
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<pre style="margin: 0;"> <span id="LC659" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC660" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">-<span id="LC650" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>PostGIS uses the P<span class="idiff left right">roj4</span> library to provide coordinate</span>
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<pre style="margin: 0;">+<span id="LC661" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>PostGIS uses the P<span class="idiff left right">ROJ</span> library to provide coordinate</span>
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<pre style="margin: 0;"> <span id="LC662" class="line" lang="xml"> transformation capabilities. The <span class="nt" style="color: #000080;"><varname></span>PROJ4TEXT<span class="nt" style="color: #000080;"></varname></span></span>
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<pre style="margin: 0;"> <span id="LC663" class="line" lang="xml"> column contains the Proj4 coordinate definition string for a</span>
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<pre style="margin: 0;"> <span id="LC664" class="line" lang="xml"> particular SRID. For example:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC665" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC666" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>+proj=utm +zone=10 +ellps=clrk66 +datum=NAD27 +units=m<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;"> <span id="LC667" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC657" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For more information <span class="idiff left">about, see the Proj4 web site at </span><span class="nt" style="color: #000080;"><span class="idiff right"><ulink</span></span></span>
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<pre style="margin: 0;">-<span id="LC658" class="line" lang="xml"><span class="idiff left"> </span><span class="na" style="color: #008080;"><span class="idiff">url=</span></span><span class="s" style="color: #d14;"><span class="idiff">"http://trac.osgeo.org/proj/"</span></span><span class="nt" style="color: #000080;"><span class="idiff">></span></span><span class="idiff right">http://trac.osgeo.org/proj/</span><span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;">+<span id="LC668" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For more information <span class="idiff left right">see the</span></span>
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<pre style="margin: 0;">+<span id="LC669" class="line" lang="xml"><span class="idiff left"> </span><span class="nt" style="color: #000080;"><span class="idiff"><ulink</span></span><span class="idiff"> </span><span class="na" style="color: #008080;"><span class="idiff">url=</span></span><span class="s" style="color: #d14;"><span class="idiff">"https://proj.org/"</span></span><span class="nt" style="color: #000080;"><span class="idiff">></span></span><span class="idiff right">Proj4 web site</span><span class="nt" style="color: #000080;"></ulink></span>.</span>
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<pre style="margin: 0;"> <span id="LC670" class="line" lang="xml"> The <span class="nt" style="color: #000080;"><filename></span>spatial_ref_sys.sql<span class="nt" style="color: #000080;"></filename></span> file contains both</span>
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<pre style="margin: 0;"> <span id="LC671" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>SRTEXT<span class="nt" style="color: #000080;"></varname></span> and <span class="nt" style="color: #000080;"><varname></span>PROJ4TEXT<span class="nt" style="color: #000080;"></varname></span></span>
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<pre style="margin: 0;"> <span id="LC672" class="line" lang="xml"> definitions for all EPSG projections.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -668,7 +679,7 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC679" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>The GEOMETRY_COLUMNS View<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;"> <span id="LC680" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC681" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><varname></span>GEOMETRY_COLUMNS<span class="nt" style="color: #000080;"></varname></span> is a view reading from database system catalog tables.</span>
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<pre style="margin: 0;">-<span id="LC671" class="line" lang="xml"> Its structure is<span class="idiff left right"> as follows</span>:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC682" class="line" lang="xml"> Its structure is:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC683" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC684" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>\d geometry_columns<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;"> <span id="LC685" class="line" lang="xml"><span class="nt" style="color: #000080;"><screen></span> View "public.geometry_columns"</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -682,7 +693,7 @@ The GEOMETRY type calculates a meaningless cartesian distance between Reykjavik</td>
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<pre style="margin: 0;"> <span id="LC693" class="line" lang="xml"> srid | integer |</span>
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<pre style="margin: 0;"> <span id="LC694" class="line" lang="xml"> type | character varying(30) |<span class="nt" style="color: #000080;"></screen></span></span>
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<pre style="margin: 0;"> <span id="LC695" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC685" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The column<span class="idiff left right"> meaning</span>s are:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC696" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The columns are:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;"> <span id="LC697" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC698" class="line" lang="xml"> <span class="nt" style="color: #000080;"><variablelist></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -872,10 +883,11 @@ SELECT f_table_name, f_geometry_column, srid, type</td>
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<pre style="margin: 0;"> <span id="LC883" class="line" lang="xml">------------------+-------------------+------+-------</span>
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<pre style="margin: 0;"> <span id="LC884" class="line" lang="xml"> vw_pois_ny_parks | geom | 4326 | POINT</span>
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<pre style="margin: 0;"> <span id="LC885" class="line" lang="xml"> vw_pois_ny_parks | geom_2160 | 2160 | POINT<span class="nt" style="color: #000080;"></screen></span></span>
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<pre style="margin: 0;">-<span id="LC875" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">-<span id="LC876" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC877" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"OGC_Validity"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">-<span id="LC878" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Ensuring Geometry is OpenGIS Compliant<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC886" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">+<span id="LC887" class="line" lang="xml"><span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;">+<span id="LC888" class="line" lang="xml"><span class="c" style="color: #998; font-style: italic;"><!-- ============================================================== --></span></span>
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<pre style="margin: 0;">+<span id="LC889" class="line" lang="xml"><span class="nt" style="color: #000080;"><sect2</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"OGC_Validity"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC890" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Geometry Validation<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;"> <span id="LC891" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC892" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>PostGIS is compliant with the Open Geospatial Consortium’s (OGC)</span>
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<pre style="margin: 0;"> <span id="LC893" class="line" lang="xml"> OpenGIS Specifications. As such, many PostGIS methods require, or more</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1208,430 +1220,7 @@ gisdb=# SELECT</td>
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1220
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<pre style="margin: 0;"> <span id="LC1220" class="line" lang="xml"> constraint checking geometry dimensions, so it is enough to specify 2</span>
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1221
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<pre style="margin: 0;"> <span id="LC1221" class="line" lang="xml"> there.<span class="nt" style="color: #000080;"></para></span></span>
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1210
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1222
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<pre style="margin: 0;"> <span id="LC1222" class="line" lang="xml"> <span class="nt" style="color: #000080;"></note></span></span>
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<pre style="margin: 0;">-<span id="LC1211" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">-<span id="LC1212" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1213" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"DE-9IM"</span><span class="nt" style="color: #000080;">></span></span>
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1214
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<pre style="margin: 0;">-<span id="LC1214" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Evaluating Spatial Relationships with the DE-9IM<span class="nt" style="color: #000080;"></title></span></span>
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1215
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<pre style="margin: 0;">-<span id="LC1215" class="line" lang="xml"></span>
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1216
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<pre style="margin: 0;">-<span id="LC1216" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1217
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<pre style="margin: 0;">-<span id="LC1217" class="line" lang="xml"> The OGC SFS defines a set of <span class="nt" style="color: #000080;"><emphasis></span>named spatial relationship predicates<span class="nt" style="color: #000080;"></emphasis></span> to evaluate the</span>
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1218
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<pre style="margin: 0;">-<span id="LC1218" class="line" lang="xml"> spatial relationship between pairs of geometries.</span>
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1219
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<pre style="margin: 0;">-<span id="LC1219" class="line" lang="xml"> PostGIS provides these as the functions</span>
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1220
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<pre style="margin: 0;">-<span id="LC1220" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Contains"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1221
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<pre style="margin: 0;">-<span id="LC1221" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Crosses"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Disjoint"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Equals"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1222
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<pre style="margin: 0;">-<span id="LC1222" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersects"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Overlaps"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1223
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<pre style="margin: 0;">-<span id="LC1223" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Touches"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Within"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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1224
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<pre style="margin: 0;">-<span id="LC1224" class="line" lang="xml"> It also defines the non-standard relationship predicates</span>
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1225
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<pre style="margin: 0;">-<span id="LC1225" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Covers"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_CoveredBy"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1226
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<pre style="margin: 0;">-<span id="LC1226" class="line" lang="xml"> and <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_ContainsProperly"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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1227
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<pre style="margin: 0;">-<span id="LC1227" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1228
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<pre style="margin: 0;">-<span id="LC1228" class="line" lang="xml"></span>
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1229
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<pre style="margin: 0;">-<span id="LC1229" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>In some cases the named spatial relationships</span>
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1230
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<pre style="margin: 0;">-<span id="LC1230" class="line" lang="xml"> are insufficient to provide a desired spatial filter.</span>
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1231
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<pre style="margin: 0;">-<span id="LC1231" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1232
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<pre style="margin: 0;">-<span id="LC1232" class="line" lang="xml"></span>
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1233
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<pre style="margin: 0;">-<span id="LC1233" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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1234
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<pre style="margin: 0;">-<span id="LC1234" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"1"</span><span class="nt" style="color: #000080;">></span></span>
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1235
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<pre style="margin: 0;">-<span id="LC1235" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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1236
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<pre style="margin: 0;">-<span id="LC1236" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1237
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<pre style="margin: 0;">-<span id="LC1237" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure</span> <span class="na" style="color: #008080;">float=</span><span class="s" style="color: #d14;">"1"</span> <span class="na" style="color: #008080;">floatstyle=</span><span class="s" style="color: #d14;">"left"</span><span class="nt" style="color: #000080;">></span></span>
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1238
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<pre style="margin: 0;">-<span id="LC1238" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"left"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im01.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1239
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<pre style="margin: 0;">-<span id="LC1239" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para></span>For example, consider a linear</span>
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1240
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<pre style="margin: 0;">-<span id="LC1240" class="line" lang="xml"> dataset representing a road network. It may be required</span>
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1241
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<pre style="margin: 0;">-<span id="LC1241" class="line" lang="xml"> to identify all road segments that cross</span>
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1242
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<pre style="margin: 0;">-<span id="LC1242" class="line" lang="xml"> each other, not at a point, but in a line (perhaps to validate some business rule).</span>
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1243
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<pre style="margin: 0;">-<span id="LC1243" class="line" lang="xml"> In this case <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Crosses"</span> <span class="nt" style="color: #000080;">/></span> does not</span>
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1244
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<pre style="margin: 0;">-<span id="LC1244" class="line" lang="xml"> provide the necessary spatial filter, since for</span>
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1245
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<pre style="margin: 0;">-<span id="LC1245" class="line" lang="xml"> linear features it returns <span class="nt" style="color: #000080;"><varname></span>true<span class="nt" style="color: #000080;"></varname></span> only where they cross at a point.</span>
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1246
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<pre style="margin: 0;">-<span id="LC1246" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1247
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<pre style="margin: 0;">-<span id="LC1247" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>A two-step solution</span>
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1248
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<pre style="margin: 0;">-<span id="LC1248" class="line" lang="xml"> would be to first compute the actual intersection</span>
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1249
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<pre style="margin: 0;">-<span id="LC1249" class="line" lang="xml"> (<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>) of pairs of road lines that spatially</span>
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1250
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<pre style="margin: 0;">-<span id="LC1250" class="line" lang="xml"> intersect (<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersects"</span> <span class="nt" style="color: #000080;">/></span>), and then check if the intersection's</span>
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1251
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<pre style="margin: 0;">-<span id="LC1251" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_GeometryType"</span> <span class="nt" style="color: #000080;">/></span> is '<span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span>' (properly</span>
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1252
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<pre style="margin: 0;">-<span id="LC1252" class="line" lang="xml"> dealing with cases that return</span>
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1253
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<pre style="margin: 0;">-<span id="LC1253" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>GEOMETRYCOLLECTION<span class="nt" style="color: #000080;"></varname></span>s of</span>
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1254
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<pre style="margin: 0;">-<span id="LC1254" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>[MULTI]POINT<span class="nt" style="color: #000080;"></varname></span>s,</span>
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1255
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<pre style="margin: 0;">-<span id="LC1255" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>[MULTI]LINESTRING<span class="nt" style="color: #000080;"></varname></span>s, etc.).<span class="nt" style="color: #000080;"></para></span></span>
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1256
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<pre style="margin: 0;">-<span id="LC1256" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Clearly, a simpler and faster solution is desirable.<span class="nt" style="color: #000080;"></para></entry></span></span>
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1257
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<pre style="margin: 0;">-<span id="LC1257" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1258
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<pre style="margin: 0;">-<span id="LC1258" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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1259
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<pre style="margin: 0;">-<span id="LC1259" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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1260
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<pre style="margin: 0;">-<span id="LC1260" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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1261
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<pre style="margin: 0;">-<span id="LC1261" class="line" lang="xml"></span>
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1262
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1262" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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1263
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1263" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"1"</span><span class="nt" style="color: #000080;">></span></span>
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1264
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1264" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1265" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1265
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1265" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1266" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1266
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1266" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para></span> <span class="nt" style="color: #000080;"><informalfigure</span> <span class="na" style="color: #008080;">float=</span><span class="s" style="color: #d14;">"1"</span> <span class="na" style="color: #008080;">floatstyle=</span><span class="s" style="color: #d14;">"right"</span><span class="nt" style="color: #000080;">></span></span>
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1267
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1267" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"right"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im02.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1268" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1268
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1268" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></span> <span class="nt" style="color: #000080;"><para></span>A second</span>
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<td class="diff-line-num old old_line" data-linenumber="1269" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1269
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1269" class="line" lang="xml"> example is locating</span>
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<td class="diff-line-num old old_line" data-linenumber="1270" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1270
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1270" class="line" lang="xml"> wharves that intersect a lake's boundary on a line and</span>
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<td class="diff-line-num old old_line" data-linenumber="1271" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1271
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1271" class="line" lang="xml"> where one end of the wharf is up on shore. In other</span>
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<td class="diff-line-num old old_line" data-linenumber="1272" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1272
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<pre style="margin: 0;">-<span id="LC1272" class="line" lang="xml"> words, where a wharf is within but not completely contained by a</span>
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<td class="diff-line-num old old_line" data-linenumber="1273" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1273
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1273" class="line" lang="xml"> lake, intersects the boundary of a lake on a line, and where</span>
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<td class="diff-line-num old old_line" data-linenumber="1274" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1274
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1274" class="line" lang="xml"> exactly one of the wharf's endpoints is within or on the</span>
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<td class="diff-line-num old old_line" data-linenumber="1275" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1275
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1275" class="line" lang="xml"> boundary of the lake. It is possible to use a</span>
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1276
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<pre style="margin: 0;">-<span id="LC1276" class="line" lang="xml"> combination of spatial predicates to find the required</span>
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1277
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<pre style="margin: 0;">-<span id="LC1277" class="line" lang="xml"> features:<span class="nt" style="color: #000080;"></para></span> <span class="nt" style="color: #000080;"><itemizedlist></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1278" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1278
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1278" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1279" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1279
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1279" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Contains"</span> <span class="nt" style="color: #000080;">/></span>(lake, wharf) = TRUE<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1280" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1280
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<pre style="margin: 0;">-<span id="LC1280" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1281
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1281" class="line" lang="xml"></span>
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1282
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1282" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1283
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<pre style="margin: 0;">-<span id="LC1283" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_ContainsProperly"</span> <span class="nt" style="color: #000080;">/></span>(lake, wharf) = FALSE<span class="nt" style="color: #000080;"></para></span></span>
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1284
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<pre style="margin: 0;">-<span id="LC1284" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1285
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1285" class="line" lang="xml"></span>
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<td class="diff-line-num old old_line" data-linenumber="1286" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1286
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<pre style="margin: 0;">-<span id="LC1286" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1287" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1287
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1287" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_GeometryType"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>(wharf, lake)) =</span>
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1288
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1288" class="line" lang="xml"> 'LINESTRING'<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1289" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1289
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1289" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1290
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1290" class="line" lang="xml"></span>
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<td class="diff-line-num old old_line" data-linenumber="1291" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1291
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1291" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1292" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1292
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1292" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_NumGeometries"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Multi"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Boundary"</span> <span class="nt" style="color: #000080;">/></span>(wharf),</span>
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1293
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1293" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Boundary"</span> <span class="nt" style="color: #000080;">/></span>(lake)))) = 1<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1294" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1294
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<pre style="margin: 0;">-<span id="LC1294" class="line" lang="xml"></span>
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<td class="diff-line-num old old_line" data-linenumber="1295" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1295
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<pre style="margin: 0;">-<span id="LC1295" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>... but needless to say, this is quite complicated.<span class="nt" style="color: #000080;"></para></span></span>
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1296
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<pre style="margin: 0;">-<span id="LC1296" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1297
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<pre style="margin: 0;">-<span id="LC1297" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></entry></span></span>
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1298
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<pre style="margin: 0;">-<span id="LC1298" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1299
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<pre style="margin: 0;">-<span id="LC1299" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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1300
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<pre style="margin: 0;">-<span id="LC1300" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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1301
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<pre style="margin: 0;">-<span id="LC1301" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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1302
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<pre style="margin: 0;">-<span id="LC1302" class="line" lang="xml"></span>
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<td class="diff-line-num old old_line" data-linenumber="1303" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1303
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<pre style="margin: 0;">-<span id="LC1303" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>These requirements can be met by using the</span>
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1304
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<pre style="margin: 0;">-<span id="LC1304" class="line" lang="xml"> Dimensionally Extended 9-Intersection Model (DE-9IM for short).<span class="nt" style="color: #000080;"></para></span></span>
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1305
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<pre style="margin: 0;">-<span id="LC1305" class="line" lang="xml"></span>
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1306
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<pre style="margin: 0;">-<span id="LC1306" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect4></span></span>
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1307
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<pre style="margin: 0;">-<span id="LC1307" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Theory<span class="nt" style="color: #000080;"></title></span></span>
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1308
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<pre style="margin: 0;">-<span id="LC1308" class="line" lang="xml"></span>
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1309
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<pre style="margin: 0;">-<span id="LC1309" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>According to the <span class="nt" style="color: #000080;"><ulink</span></span>
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1310
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<pre style="margin: 0;">-<span id="LC1310" class="line" lang="xml"> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/standards/sfs"</span><span class="nt" style="color: #000080;">></span>OpenGIS Simple</span>
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1311
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<pre style="margin: 0;">-<span id="LC1311" class="line" lang="xml"> Features Implementation Specification for SQL<span class="nt" style="color: #000080;"></ulink></span>, "the basic</span>
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1312
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<pre style="margin: 0;">-<span id="LC1312" class="line" lang="xml"> approach to comparing two geometries is to make pair-wise tests of</span>
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1313
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<pre style="margin: 0;">-<span id="LC1313" class="line" lang="xml"> the intersections between the Interiors, Boundaries and Exteriors of</span>
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1314
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<pre style="margin: 0;">-<span id="LC1314" class="line" lang="xml"> the two geometries and to classify the relationship between the two</span>
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1315
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<pre style="margin: 0;">-<span id="LC1315" class="line" lang="xml"> geometries based on the entries in the resulting 'intersection'</span>
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1316
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<pre style="margin: 0;">-<span id="LC1316" class="line" lang="xml"> matrix."<span class="nt" style="color: #000080;"></para></span></span>
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1317
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<pre style="margin: 0;">-<span id="LC1317" class="line" lang="xml"></span>
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1318
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<pre style="margin: 0;">-<span id="LC1318" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>In the theory of point-set topology,</span>
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1319
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<pre style="margin: 0;">-<span id="LC1319" class="line" lang="xml"> the points in a geometry embedded in 2-dimensional space</span>
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1320
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<pre style="margin: 0;">-<span id="LC1320" class="line" lang="xml"> can be categorized into the following sets:</span>
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1321
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<pre style="margin: 0;">-<span id="LC1321" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1322
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<pre style="margin: 0;">-<span id="LC1322" class="line" lang="xml"></span>
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1323
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<pre style="margin: 0;">-<span id="LC1323" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glosslist></span></span>
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1324
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<pre style="margin: 0;">-<span id="LC1324" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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1325
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<pre style="margin: 0;">-<span id="LC1325" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Boundary<span class="nt" style="color: #000080;"></glossterm></span></span>
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1326
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<pre style="margin: 0;">-<span id="LC1326" class="line" lang="xml"></span>
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1327
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<pre style="margin: 0;">-<span id="LC1327" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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1328
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<pre style="margin: 0;">-<span id="LC1328" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The boundary of a geometry is the set of geometries of</span>
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1329
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<pre style="margin: 0;">-<span id="LC1329" class="line" lang="xml"> the next lower dimension. For <span class="nt" style="color: #000080;"><varname></span>POINT<span class="nt" style="color: #000080;"></varname></span>s, which</span>
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1330
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<pre style="margin: 0;">-<span id="LC1330" class="line" lang="xml"> have a dimension of 0, the boundary is the empty set. The</span>
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1331
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<pre style="margin: 0;">-<span id="LC1331" class="line" lang="xml"> boundary of a <span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span> is the two</span>
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<pre style="margin: 0;">-<span id="LC1332" class="line" lang="xml"> endpoints. For <span class="nt" style="color: #000080;"><varname></span>POLYGON<span class="nt" style="color: #000080;"></varname></span>s, the boundary is</span>
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1333
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<pre style="margin: 0;">-<span id="LC1333" class="line" lang="xml"> the linework of the exterior and interior</span>
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1334
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<pre style="margin: 0;">-<span id="LC1334" class="line" lang="xml"> rings.<span class="nt" style="color: #000080;"></para></span></span>
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1335
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<pre style="margin: 0;">-<span id="LC1335" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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1336
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<pre style="margin: 0;">-<span id="LC1336" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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1337
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<pre style="margin: 0;">-<span id="LC1337" class="line" lang="xml"></span>
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1338
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<pre style="margin: 0;">-<span id="LC1338" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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1339
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<pre style="margin: 0;">-<span id="LC1339" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Interior<span class="nt" style="color: #000080;"></glossterm></span></span>
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1340
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<pre style="margin: 0;">-<span id="LC1340" class="line" lang="xml"></span>
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1341
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<pre style="margin: 0;">-<span id="LC1341" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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1342
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<pre style="margin: 0;">-<span id="LC1342" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The interior of a geometry are those points of a</span>
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1343
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<pre style="margin: 0;">-<span id="LC1343" class="line" lang="xml"> geometry that are not in the boundary. For</span>
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1344
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<pre style="margin: 0;">-<span id="LC1344" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>POINT<span class="nt" style="color: #000080;"></varname></span>s, the interior is the</span>
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1345
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<pre style="margin: 0;">-<span id="LC1345" class="line" lang="xml"> point itself. The interior of a</span>
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1346
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<pre style="margin: 0;">-<span id="LC1346" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span> is the set of points</span>
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1347
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<pre style="margin: 0;">-<span id="LC1347" class="line" lang="xml"> between the endpoints. For <span class="nt" style="color: #000080;"><varname></span>POLYGON<span class="nt" style="color: #000080;"></varname></span>s, the</span>
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1348
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<pre style="margin: 0;">-<span id="LC1348" class="line" lang="xml"> interior is the areal surface inside the polygon.<span class="nt" style="color: #000080;"></para></span></span>
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1349
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<pre style="margin: 0;">-<span id="LC1349" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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1350
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<pre style="margin: 0;">-<span id="LC1350" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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1351
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<pre style="margin: 0;">-<span id="LC1351" class="line" lang="xml"></span>
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1352
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<pre style="margin: 0;">-<span id="LC1352" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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1353
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<pre style="margin: 0;">-<span id="LC1353" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Exterior<span class="nt" style="color: #000080;"></glossterm></span></span>
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1354
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<pre style="margin: 0;">-<span id="LC1354" class="line" lang="xml"></span>
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1355
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<pre style="margin: 0;">-<span id="LC1355" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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1356
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<pre style="margin: 0;">-<span id="LC1356" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The exterior of a geometry is the rest of the space</span>
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<pre style="margin: 0;">-<span id="LC1357" class="line" lang="xml"> in which the geometry is embedded;</span>
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1358
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<pre style="margin: 0;">-<span id="LC1358" class="line" lang="xml"> in other words, all points not in the interior or on the boundary of the geometry.</span>
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1359
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<pre style="margin: 0;">-<span id="LC1359" class="line" lang="xml"> It is a 2-dimensional non-closed surface.</span>
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1360
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<pre style="margin: 0;">-<span id="LC1360" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1361
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<pre style="margin: 0;">-<span id="LC1361" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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1362
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<pre style="margin: 0;">-<span id="LC1362" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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1363
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<pre style="margin: 0;">-<span id="LC1363" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glosslist></span></span>
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1364
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<pre style="margin: 0;">-<span id="LC1364" class="line" lang="xml"></span>
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1365
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<pre style="margin: 0;">-<span id="LC1365" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://en.wikipedia.org/wiki/DE-9IM"</span><span class="nt" style="color: #000080;">></span>Dimensionally Extended 9-Intersection Model<span class="nt" style="color: #000080;"></ulink></span></span>
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1366
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<pre style="margin: 0;">-<span id="LC1366" class="line" lang="xml"> (DE-9IM) describes the spatial relationship between two geometries</span>
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1367
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<pre style="margin: 0;">-<span id="LC1367" class="line" lang="xml"> by specifying the dimensions of the 9 intersections between the above sets for each geometry.</span>
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1368
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<pre style="margin: 0;">-<span id="LC1368" class="line" lang="xml"> The intersection dimensions can be formally represented</span>
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1369
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<pre style="margin: 0;">-<span id="LC1369" class="line" lang="xml"> in a 3x3 <span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>intersection matrix<span class="nt" style="color: #000080;"></emphasis></span>.</span>
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1370
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<pre style="margin: 0;">-<span id="LC1370" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1371
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<pre style="margin: 0;">-<span id="LC1371" class="line" lang="xml"></span>
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1372
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<pre style="margin: 0;">-<span id="LC1372" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For a geometry <span class="nt" style="color: #000080;"><emphasis></span>g<span class="nt" style="color: #000080;"></emphasis></span></span>
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1373
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<pre style="margin: 0;">-<span id="LC1373" class="line" lang="xml"> the <span class="nt" style="color: #000080;"><emphasis></span>Interior<span class="nt" style="color: #000080;"></emphasis></span>, <span class="nt" style="color: #000080;"><emphasis></span>Boundary<span class="nt" style="color: #000080;"></emphasis></span>, and <span class="nt" style="color: #000080;"><emphasis></span>Exterior<span class="nt" style="color: #000080;"></emphasis></span></span>
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1374
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<pre style="margin: 0;">-<span id="LC1374" class="line" lang="xml"> are denoted using the notation</span>
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1375
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<pre style="margin: 0;">-<span id="LC1375" class="line" lang="xml"> <span class="nt" style="color: #000080;"><emphasis></span>I(g)<span class="nt" style="color: #000080;"></emphasis></span>, <span class="nt" style="color: #000080;"><emphasis></span>B(g)<span class="nt" style="color: #000080;"></emphasis></span>, and</span>
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1376
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<pre style="margin: 0;">-<span id="LC1376" class="line" lang="xml"> <span class="nt" style="color: #000080;"><emphasis></span>E(g)<span class="nt" style="color: #000080;"></emphasis></span>.</span>
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1377
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<pre style="margin: 0;">-<span id="LC1377" class="line" lang="xml"> Also, <span class="nt" style="color: #000080;"><emphasis></span>dim(g)<span class="nt" style="color: #000080;"></emphasis></span> denotes the dimension of</span>
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1378
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<pre style="margin: 0;">-<span id="LC1378" class="line" lang="xml"> <span class="nt" style="color: #000080;"><emphasis></span>g<span class="nt" style="color: #000080;"></emphasis></span> with the domain of</span>
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1379
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<pre style="margin: 0;">-<span id="LC1379" class="line" lang="xml"> <span class="nt" style="color: #000080;"><literal></span>{0,1,2,F}<span class="nt" style="color: #000080;"></literal></span></span>
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1380
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<pre style="margin: 0;">-<span id="LC1380" class="line" lang="xml"> (as computed by <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Dimension"</span> <span class="nt" style="color: #000080;">/></span>)</span>
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1381
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<pre style="margin: 0;">-<span id="LC1381" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1382
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<pre style="margin: 0;">-<span id="LC1382" class="line" lang="xml"></span>
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1383
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<pre style="margin: 0;">-<span id="LC1383" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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1384
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<pre style="margin: 0;">-<span id="LC1384" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1385
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<pre style="margin: 0;">-<span id="LC1385" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>0<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> point<span class="nt" style="color: #000080;"></para></span></span>
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1386
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<pre style="margin: 0;">-<span id="LC1386" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1387
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<pre style="margin: 0;">-<span id="LC1387" class="line" lang="xml"></span>
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1388
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<pre style="margin: 0;">-<span id="LC1388" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1389
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<pre style="margin: 0;">-<span id="LC1389" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>1<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> line<span class="nt" style="color: #000080;"></para></span></span>
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1390
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<pre style="margin: 0;">-<span id="LC1390" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1391
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<pre style="margin: 0;">-<span id="LC1391" class="line" lang="xml"></span>
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1392
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<pre style="margin: 0;">-<span id="LC1392" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1393
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<pre style="margin: 0;">-<span id="LC1393" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>2<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> area<span class="nt" style="color: #000080;"></para></span></span>
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1394
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<pre style="margin: 0;">-<span id="LC1394" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1395
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<pre style="margin: 0;">-<span id="LC1395" class="line" lang="xml"></span>
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1396
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<pre style="margin: 0;">-<span id="LC1396" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1397
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<pre style="margin: 0;">-<span id="LC1397" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>F<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> empty set<span class="nt" style="color: #000080;"></para></span></span>
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1398
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<pre style="margin: 0;">-<span id="LC1398" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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1399
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<pre style="margin: 0;">-<span id="LC1399" class="line" lang="xml"></span>
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1400
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<pre style="margin: 0;">-<span id="LC1400" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></span></span>
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1401
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<pre style="margin: 0;">-<span id="LC1401" class="line" lang="xml"></span>
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1402
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<pre style="margin: 0;">-<span id="LC1402" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1403
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<pre style="margin: 0;">-<span id="LC1403" class="line" lang="xml"> Using this notation, the intersection matrix</span>
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1404
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<pre style="margin: 0;">-<span id="LC1404" class="line" lang="xml"> for two geometries <span class="nt" style="color: #000080;"><emphasis></span>a<span class="nt" style="color: #000080;"></emphasis></span> and <span class="nt" style="color: #000080;"><emphasis></span>b<span class="nt" style="color: #000080;"></emphasis></span> is:<span class="nt" style="color: #000080;"></para></span></span>
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1405
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<pre style="margin: 0;">-<span id="LC1405" class="line" lang="xml"></span>
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1406
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<pre style="margin: 0;">-<span id="LC1406" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">tabstyle=</span><span class="s" style="color: #d14;">"styledtable"</span><span class="nt" style="color: #000080;">></span></span>
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1407
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<pre style="margin: 0;">-<span id="LC1407" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"4"</span><span class="nt" style="color: #000080;">></span></span>
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1408
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<pre style="margin: 0;">-<span id="LC1408" class="line" lang="xml"> <span class="nt" style="color: #000080;"><thead></span></span>
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1409
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<pre style="margin: 0;">-<span id="LC1409" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1410
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<pre style="margin: 0;">-<span id="LC1410" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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1411
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<pre style="margin: 0;">-<span id="LC1411" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1412
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<pre style="margin: 0;">-<span id="LC1412" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1413
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<pre style="margin: 0;">-<span id="LC1413" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1414
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<pre style="margin: 0;">-<span id="LC1414" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1415
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<pre style="margin: 0;">-<span id="LC1415" class="line" lang="xml"> <span class="nt" style="color: #000080;"></thead></span></span>
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1416
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<pre style="margin: 0;">-<span id="LC1416" class="line" lang="xml"></span>
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1417
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<pre style="margin: 0;">-<span id="LC1417" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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1418
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<pre style="margin: 0;">-<span id="LC1418" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1419
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<pre style="margin: 0;">-<span id="LC1419" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1420
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<pre style="margin: 0;">-<span id="LC1420" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1421
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<pre style="margin: 0;">-<span id="LC1421" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1422
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1422" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1423
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<pre style="margin: 0;">-<span id="LC1423" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1424
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<pre style="margin: 0;">-<span id="LC1424" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1425
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<pre style="margin: 0;">-<span id="LC1425" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1426" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1426
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<pre style="margin: 0;">-<span id="LC1426" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1427" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1427
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1427" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1428
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<pre style="margin: 0;">-<span id="LC1428" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1429
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<pre style="margin: 0;">-<span id="LC1429" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1430
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<pre style="margin: 0;">-<span id="LC1430" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<td class="diff-line-num old old_line" data-linenumber="1431" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1431
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<pre style="margin: 0;">-<span id="LC1431" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1432
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<pre style="margin: 0;">-<span id="LC1432" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1433
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<pre style="margin: 0;">-<span id="LC1433" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1434
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<td class="diff-line-num new_line old" data-linenumber="1223" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC1434" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1435
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<pre style="margin: 0;">-<span id="LC1435" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1436
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<pre style="margin: 0;">-<span id="LC1436" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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1437
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<pre style="margin: 0;">-<span id="LC1437" class="line" lang="xml"></span>
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1438
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<pre style="margin: 0;">-<span id="LC1438" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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1439
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<pre style="margin: 0;">-<span id="LC1439" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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1440
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<pre style="margin: 0;">-<span id="LC1440" class="line" lang="xml"></span>
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1441
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<pre style="margin: 0;">-<span id="LC1441" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Visually, for two overlapping polygonal geometries, this looks like:<span class="nt" style="color: #000080;"></para></span></span>
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1442
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<pre style="margin: 0;">-<span id="LC1442" class="line" lang="xml"></span>
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<td class="diff-line-num old old_line" data-linenumber="1443" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
1443
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<pre style="margin: 0;">-<span id="LC1443" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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1444
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<pre style="margin: 0;">-<span id="LC1444" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"2"</span><span class="nt" style="color: #000080;">></span></span>
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1445
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<pre style="margin: 0;">-<span id="LC1445" class="line" lang="xml"> <span class="nt" style="color: #000080;"><colspec</span> <span class="na" style="color: #008080;">colwidth=</span><span class="s" style="color: #d14;">"80pt"</span> <span class="nt" style="color: #000080;">/></span></span>
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1446
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<pre style="margin: 0;">-<span id="LC1446" class="line" lang="xml"></span>
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1447
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<pre style="margin: 0;">-<span id="LC1447" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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1448
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<pre style="margin: 0;">-<span id="LC1448" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1449
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<pre style="margin: 0;">-<span id="LC1449" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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1450
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<pre style="margin: 0;">-<span id="LC1450" class="line" lang="xml"></span>
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1451
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<pre style="margin: 0;">-<span id="LC1451" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span><span class="nt" style="color: #000080;">><para><informalfigure></span></span>
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1452
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<pre style="margin: 0;">-<span id="LC1452" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im04.png"</span></span>
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1453
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<pre style="margin: 0;">-<span id="LC1453" class="line" lang="xml"> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span> <span class="nt" style="color: #000080;">/></span></span>
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1454
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<pre style="margin: 0;">-<span id="LC1454" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></entry></span></span>
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1455
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<pre style="margin: 0;">-<span id="LC1455" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1456
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<pre style="margin: 0;">-<span id="LC1456" class="line" lang="xml"></span>
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1457
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<pre style="margin: 0;">-<span id="LC1457" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1458
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<pre style="margin: 0;">-<span id="LC1458" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">><para><informalfigure></span></span>
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1459
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<pre style="margin: 0;">-<span id="LC1459" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im03.png"</span></span>
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1460
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<pre style="margin: 0;">-<span id="LC1460" class="line" lang="xml"> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span> <span class="nt" style="color: #000080;">/></span></span>
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1461
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<pre style="margin: 0;">-<span id="LC1461" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></entry></span></span>
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1462
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<pre style="margin: 0;">-<span id="LC1462" class="line" lang="xml"></span>
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1463
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<pre style="margin: 0;">-<span id="LC1463" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para></span> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">tabstyle=</span><span class="s" style="color: #d14;">"styledtable"</span><span class="nt" style="color: #000080;">></span></span>
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1464
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<pre style="margin: 0;">-<span id="LC1464" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"4"</span><span class="nt" style="color: #000080;">></span></span>
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1465
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<pre style="margin: 0;">-<span id="LC1465" class="line" lang="xml"> <span class="nt" style="color: #000080;"><thead</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">></span></span>
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1466
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<pre style="margin: 0;">-<span id="LC1466" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1467
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<pre style="margin: 0;">-<span id="LC1467" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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1468
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<pre style="margin: 0;">-<span id="LC1468" class="line" lang="xml"></span>
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1469
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<pre style="margin: 0;">-<span id="LC1469" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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1470
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<pre style="margin: 0;">-<span id="LC1470" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1471
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<pre style="margin: 0;">-<span id="LC1471" class="line" lang="xml"></span>
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1472
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<pre style="margin: 0;">-<span id="LC1472" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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1473
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<pre style="margin: 0;">-<span id="LC1473" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1474
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<pre style="margin: 0;">-<span id="LC1474" class="line" lang="xml"></span>
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1475
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<pre style="margin: 0;">-<span id="LC1475" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1476" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1477" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">-<span id="LC1478" class="line" lang="xml"> <span class="nt" style="color: #000080;"></thead></span></span>
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1479
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<pre style="margin: 0;">-<span id="LC1479" class="line" lang="xml"></span>
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1480
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<pre style="margin: 0;">-<span id="LC1480" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">-<span id="LC1481" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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1482
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<pre style="margin: 0;">-<span id="LC1482" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">spanname=</span><span class="s" style="color: #d14;">"de9im_a"</span> <span class="na" style="color: #008080;">style=</span><span class="s" style="color: #d14;">""</span><span class="nt" style="color: #000080;">><emphasis</span></span>
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1483
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<pre style="margin: 0;">-<span id="LC1483" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1484
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<pre style="margin: 0;">-<span id="LC1484" class="line" lang="xml"></span>
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1485
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<pre style="margin: 0;">-<span id="LC1485" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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1486
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<pre style="margin: 0;">-<span id="LC1486" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im05.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1487
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<pre style="margin: 0;">-<span id="LC1487" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ I(b) ) =</span>
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1488
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<pre style="margin: 0;">-<span id="LC1488" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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1489
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<pre style="margin: 0;">-<span id="LC1489" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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1490
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<pre style="margin: 0;">-<span id="LC1490" class="line" lang="xml"></span>
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1491
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<pre style="margin: 0;">-<span id="LC1491" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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1492
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<pre style="margin: 0;">-<span id="LC1492" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im06.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1493
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<pre style="margin: 0;">-<span id="LC1493" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ B(b) =</span>
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1494
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<pre style="margin: 0;">-<span id="LC1494" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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1495
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<pre style="margin: 0;">-<span id="LC1495" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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1496
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<pre style="margin: 0;">-<span id="LC1496" class="line" lang="xml"></span>
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1497
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<pre style="margin: 0;">-<span id="LC1497" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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1498
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<pre style="margin: 0;">-<span id="LC1498" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im07.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">-<span id="LC1499" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ E(b) ) =</span>
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<pre style="margin: 0;">-<span id="LC1500" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1501" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1502" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">-<span id="LC1503" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1504" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">-<span id="LC1505" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1506" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1507" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1508" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">-<span id="LC1509" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im08.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">-<span id="LC1510" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ I(b) ) =</span>
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<pre style="margin: 0;">-<span id="LC1511" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1512" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1513" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1514" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">-<span id="LC1515" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im09.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1516
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<pre style="margin: 0;">-<span id="LC1516" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ B(b) ) =</span>
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<pre style="margin: 0;">-<span id="LC1517" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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1518
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<pre style="margin: 0;">-<span id="LC1518" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>0<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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1519
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<pre style="margin: 0;">-<span id="LC1519" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1520" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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1521
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<pre style="margin: 0;">-<span id="LC1521" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im10.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1522
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<pre style="margin: 0;">-<span id="LC1522" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ E(b) ) =</span>
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<pre style="margin: 0;">-<span id="LC1523" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1524" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1525" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">-<span id="LC1526" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1527" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">-<span id="LC1528" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1529" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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1530
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<pre style="margin: 0;">-<span id="LC1530" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1531" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">-<span id="LC1532" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im11.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">-<span id="LC1533" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ I(b) ) =</span>
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<pre style="margin: 0;">-<span id="LC1534" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1535" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1536" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1537" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">-<span id="LC1538" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im12.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">-<span id="LC1539" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ B(b) ) =</span>
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1540
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<pre style="margin: 0;">-<span id="LC1540" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1541" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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1542
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<pre style="margin: 0;">-<span id="LC1542" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1543" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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1544
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<pre style="margin: 0;">-<span id="LC1544" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im13.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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1545
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<pre style="margin: 0;">-<span id="LC1545" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ E(b) =</span>
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1546
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<pre style="margin: 0;">-<span id="LC1546" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">-<span id="LC1547" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1549" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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1550
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<pre style="margin: 0;">-<span id="LC1550" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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1551
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<pre style="margin: 0;">-<span id="LC1551" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></para></entry></span></span>
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<pre style="margin: 0;">-<span id="LC1552" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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1553
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<pre style="margin: 0;">-<span id="LC1553" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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1554
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<pre style="margin: 0;">-<span id="LC1554" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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1555
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<pre style="margin: 0;">-<span id="LC1555" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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1556
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<pre style="margin: 0;">-<span id="LC1556" class="line" lang="xml"></span>
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1557
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<pre style="margin: 0;">-<span id="LC1557" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Reading from left to right and top to bottom, the intersection matrix is</span>
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1558
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<pre style="margin: 0;">-<span id="LC1558" class="line" lang="xml"> represented as the text string '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>212101212<span class="nt" style="color: #000080;"></emphasis></span>'.<span class="nt" style="color: #000080;"></para></span></span>
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1559
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<pre style="margin: 0;">-<span id="LC1559" class="line" lang="xml"></span>
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1560
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<pre style="margin: 0;">-<span id="LC1560" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1561
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<pre style="margin: 0;">-<span id="LC1561" class="line" lang="xml"> PostGIS provides the <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></span> function</span>
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1562
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<pre style="margin: 0;">-<span id="LC1562" class="line" lang="xml"> to compute the intersection matrix:</span>
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1563
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<pre style="margin: 0;">-<span id="LC1563" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1564
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<pre style="margin: 0;">-<span id="LC1564" class="line" lang="xml"></span>
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1565
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<pre style="margin: 0;">-<span id="LC1565" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span></span>
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1566
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<pre style="margin: 0;">-<span id="LC1566" class="line" lang="xml">SELECT ST_Relate( 'LINESTRING (1 1, 5 5)',</span>
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1567
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<pre style="margin: 0;">-<span id="LC1567" class="line" lang="xml"> 'POLYGON ((3 3, 3 7, 7 7, 7 3, 3 3))' );</span>
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1568
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<pre style="margin: 0;">-<span id="LC1568" class="line" lang="xml">st_relate</span>
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1569
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<pre style="margin: 0;">-<span id="LC1569" class="line" lang="xml">-----------</span>
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1570
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<pre style="margin: 0;">-<span id="LC1570" class="line" lang="xml">1010F0212</span>
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1571
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<pre style="margin: 0;">-<span id="LC1571" class="line" lang="xml"><span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC1572" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1573" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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1574
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<pre style="margin: 0;">-<span id="LC1574" class="line" lang="xml"> To specify fully general spatial relationships,</span>
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<pre style="margin: 0;">-<span id="LC1575" class="line" lang="xml"> an <span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>intersection matrix pattern<span class="nt" style="color: #000080;"></emphasis></span> is used.</span>
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1576
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<pre style="margin: 0;">-<span id="LC1576" class="line" lang="xml"> This is a matrix representation augmented with the additional symbols</span>
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1577
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<pre style="margin: 0;">-<span id="LC1577" class="line" lang="xml"> <span class="nt" style="color: #000080;"><literal></span>{T,*}<span class="nt" style="color: #000080;"></literal></span>:</span>
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1578
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<pre style="margin: 0;">-<span id="LC1578" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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1579
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<pre style="margin: 0;">-<span id="LC1579" class="line" lang="xml"></span>
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1580
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<pre style="margin: 0;">-<span id="LC1580" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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1581
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<pre style="margin: 0;">-<span id="LC1581" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1582
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<pre style="margin: 0;">-<span id="LC1582" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>T<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span></span>
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<pre style="margin: 0;">-<span id="LC1583" class="line" lang="xml"> intersection dimension is non-empty; i.e. is in <span class="nt" style="color: #000080;"><literal></span>{0,1,2}<span class="nt" style="color: #000080;"></literal></para></span></span>
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<pre style="margin: 0;">-<span id="LC1584" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">-<span id="LC1585" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1586" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">-<span id="LC1587" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>*<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> don't care<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC1588" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">-<span id="LC1589" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></span></span>
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<pre style="margin: 0;">-<span id="LC1590" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC1591" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Using intersection matrix patterns and the 3-parameter variant of <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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1592
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<pre style="margin: 0;">-<span id="LC1592" class="line" lang="xml"> specific spatial relationships can be evaluated in a more succinct way.</span>
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<pre style="margin: 0;">-<span id="LC1593" class="line" lang="xml"> For the first example above, the intersection matrix pattern specifying</span>
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<pre style="margin: 0;">-<span id="LC1594" class="line" lang="xml"> two lines intersecting in a line is</span>
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1595
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<pre style="margin: 0;">-<span id="LC1595" class="line" lang="xml"> '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1*1***1**<span class="nt" style="color: #000080;"></emphasis></span>':<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC1596" class="line" lang="xml"></span>
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1597
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<pre style="margin: 0;">-<span id="LC1597" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>-- Find road segments that intersect in a line</span>
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1598
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<pre style="margin: 0;">-<span id="LC1598" class="line" lang="xml">SELECT a.id</span>
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1599
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<pre style="margin: 0;">-<span id="LC1599" class="line" lang="xml">FROM roads a, roads b</span>
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1600
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<pre style="margin: 0;">-<span id="LC1600" class="line" lang="xml">WHERE a.id != b.id</span>
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1601
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<pre style="margin: 0;">-<span id="LC1601" class="line" lang="xml"> AND a.geom <span class="ni" style="color: #800080;">&&</span> b.geom</span>
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1602
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<pre style="margin: 0;">-<span id="LC1602" class="line" lang="xml"> AND ST_Relate(a.geom, b.geom, '1*1***1**');<span class="nt" style="color: #000080;"></programlisting></span></span>
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1603
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<pre style="margin: 0;">-<span id="LC1603" class="line" lang="xml"></span>
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1604
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<pre style="margin: 0;">-<span id="LC1604" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For the second example, the intersection matrix pattern</span>
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1605
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<pre style="margin: 0;">-<span id="LC1605" class="line" lang="xml"> specifying a line partly inside and partly outside a polygon is</span>
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1606
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<pre style="margin: 0;">-<span id="LC1606" class="line" lang="xml"> '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>102101FF2<span class="nt" style="color: #000080;"></emphasis></span>':<span class="nt" style="color: #000080;"></para></span></span>
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1607
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<pre style="margin: 0;">-<span id="LC1607" class="line" lang="xml"></span>
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1608
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<pre style="margin: 0;">-<span id="LC1608" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>-- Find wharves partly on a lake's shoreline</span>
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1609
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<pre style="margin: 0;">-<span id="LC1609" class="line" lang="xml">SELECT a.lake_id, b.wharf_id</span>
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1610
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<pre style="margin: 0;">-<span id="LC1610" class="line" lang="xml">FROM lakes a, wharfs b</span>
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1611
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<pre style="margin: 0;">-<span id="LC1611" class="line" lang="xml">WHERE a.geom <span class="ni" style="color: #800080;">&&</span> b.geom</span>
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1612
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<pre style="margin: 0;">-<span id="LC1612" class="line" lang="xml"> AND ST_Relate(a.geom, b.geom, '102101FF2');<span class="nt" style="color: #000080;"></programlisting></span></span>
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1613
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<pre style="margin: 0;">-<span id="LC1613" class="line" lang="xml"></span>
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1614
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<pre style="margin: 0;">-<span id="LC1614" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For more information, refer to:<span class="nt" style="color: #000080;"></para></span></span>
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1615
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<pre style="margin: 0;">-<span id="LC1615" class="line" lang="xml"></span>
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1616
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<pre style="margin: 0;">-<span id="LC1616" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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1617
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<pre style="margin: 0;">-<span id="LC1617" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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1618
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<pre style="margin: 0;">-<span id="LC1618" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/standards/sfs"</span><span class="nt" style="color: #000080;">></span>OpenGIS Simple</span>
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1619
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<pre style="margin: 0;">-<span id="LC1619" class="line" lang="xml"> Features Implementation Specification for SQL<span class="nt" style="color: #000080;"></ulink></span> (version 1.1, section 2.1.13.2)<span class="nt" style="color: #000080;"></para></span></span>
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1620
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<pre style="margin: 0;">-<span id="LC1623" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"https://en.wikipedia.org/wiki/DE-9IM"</span><span class="nt" style="color: #000080;">></span>Dimensionally</span>
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<pre style="margin: 0;">-<span id="LC1624" class="line" lang="xml"> Extended Nine-Intersection Model (DE-9IM)<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">-<span id="LC1626" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">-<span id="LC1627" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://docs.geotools.org/latest/userguide/library/jts/dim9.html"</span><span class="nt" style="color: #000080;">></span>GeoTools: Point Set Theory and the DE-9IM Matrix<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">+<span id="LC1223" class="line" lang="xml"><span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;"> <span id="LC1224" class="line" lang="xml"></span>
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<pre style="margin: 0;"> <span id="LC1225" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"loading-data"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;"> <span id="LC1226" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Loading Spatial Data<span class="nt" style="color: #000080;"></title></span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="2398" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1987" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2398,26 +1987,24 @@ CREATE INDEX [indexname] ON [tablename]</td>
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2398
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1987
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<pre style="margin: 0;"> <span id="LC1987" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Using Indexes<span class="nt" style="color: #000080;"></title></span></span>
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2399
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1988
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<pre style="margin: 0;"> <span id="LC1988" class="line" lang="xml"></span>
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2400
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1989
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<pre style="margin: 0;"> <span id="LC1989" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Ordinarily, indexes invisibly speed up data access: once the index</span>
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2401
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<pre style="margin: 0;">-<span id="LC2401" class="line" lang="xml"> is built, the query planner transparently decides when to use index</span>
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2402
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<pre style="margin: 0;">-<span id="LC2402" class="line" lang="xml"> information to speed up a query plan. Unfortunately, the PostgreSQL</span>
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2403
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<td class="diff-line-num new_line old" data-linenumber="1990" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2403" class="line" lang="xml"> query planner sometimes does not optimize the use of GiST indexes well, so</span>
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2404
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<td class="diff-line-num new_line old" data-linenumber="1990" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2404" class="line" lang="xml"> sometimes searches which should use a spatial index instead may perform a</span>
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2405
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<td class="diff-line-num new_line old" data-linenumber="1990" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2405" class="line" lang="xml"> sequential scan of the whole table.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num new old_line" data-linenumber="2406" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="1990" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1990
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<pre style="margin: 0;">+<span id="LC1990" class="line" lang="xml"> is built, the PostgreSQL query planner automatically decides when to use index</span>
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<td class="diff-line-num new new_line" data-linenumber="1991" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1991
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<pre style="margin: 0;">+<span id="LC1991" class="line" lang="xml"> information to speed up a query plan. Unfortunately, the</span>
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<td class="diff-line-num new new_line" data-linenumber="1992" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1992
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<pre style="margin: 0;">+<span id="LC1992" class="line" lang="xml"> query planner sometimes does not optimize the use of GiST indexes,</span>
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<td class="diff-line-num new new_line" data-linenumber="1993" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1993
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<pre style="margin: 0;">+<span id="LC1993" class="line" lang="xml"> so queries end up using slow sequential scans instead of a spatial index.<span class="nt" style="color: #000080;"></para></span></span>
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2406
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<td class="diff-line-num new_line" data-linenumber="1994" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
1994
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<pre style="margin: 0;"> <span id="LC1994" class="line" lang="xml"></span>
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2407
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<td class="diff-line-num new_line old" data-linenumber="1995" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2407" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>If you find your spatial indexes are not being used (or your</span>
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2408
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<td class="diff-line-num new_line old" data-linenumber="1995" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2408" class="line" lang="xml"> attribute indexes, for that matter) there are a couple things you can</span>
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<td class="diff-line-num old old_line" data-linenumber="2409" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
2409
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<td class="diff-line-num new_line old" data-linenumber="1995" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2409" class="line" lang="xml"> do:<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num new new_line" data-linenumber="1995" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1995
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<pre style="margin: 0;">+<span id="LC1995" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>If you find your spatial indexes are not being used,</span>
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<td class="diff-line-num new new_line" data-linenumber="1996" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1996
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<pre style="margin: 0;">+<span id="LC1996" class="line" lang="xml"> there are a couple things you can do:<span class="nt" style="color: #000080;"></para></span></span>
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2410
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<td class="diff-line-num new_line" data-linenumber="1997" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
1997
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<pre style="margin: 0;"> <span id="LC1997" class="line" lang="xml"></span>
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<td class="diff-line-num old_line" data-linenumber="2411" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
2411
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<td class="diff-line-num new_line" data-linenumber="1998" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
1998
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<pre style="margin: 0;"> <span id="LC1998" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist></span></span>
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<td class="diff-line-num old_line" data-linenumber="2412" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
2412
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<td class="diff-line-num new_line" data-linenumber="1999" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
1999
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<pre style="margin: 0;"> <span id="LC1999" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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2413
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<td class="diff-line-num new_line old" data-linenumber="2000" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2413" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="idiff left right">Firstly, read query plan and check your query actually tries to compute</span> the</span>
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<td class="diff-line-num old old_line" data-linenumber="2414" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
2414
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<td class="diff-line-num new_line old" data-linenumber="2000" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2414" class="line" lang="xml"> thing you need. A<span class="idiff left right"> runaway JOIN condition</span>, either forgotten or to the wrong table,</span>
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2415
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<td class="diff-line-num new_line old" data-linenumber="2000" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2415" class="line" lang="xml"> can unexpectedly <span class="idiff left right">bring you all of your table multiple times. To get query plan,</span></span>
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<td class="diff-line-num old old_line" data-linenumber="2416" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
2416
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<td class="diff-line-num new_line old" data-linenumber="2000" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC2416" class="line" lang="xml"><span class="idiff left right"> add EXPLAIN keyword in front of your</span> query.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="diff-line-num new old_line" data-linenumber="2417" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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2000
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<pre style="margin: 0;">+<span id="LC2000" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="idiff left right">Examine the query plan and check your query actually computes</span> the</span>
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<td class="diff-line-num new new_line" data-linenumber="2001" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
2001
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<pre style="margin: 0;">+<span id="LC2001" class="line" lang="xml"> thing you need. A<span class="idiff left right">n erroneous JOIN</span>, either forgotten or to the wrong table,</span>
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<td class="diff-line-num new new_line" data-linenumber="2002" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
2002
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<pre style="margin: 0;">+<span id="LC2002" class="line" lang="xml"> can unexpectedly <span class="idiff left right">retrieve table records multiple times.</span></span>
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<td class="diff-line-num new old_line" data-linenumber="2417" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="2003" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
2003
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<pre style="margin: 0;">+<span id="LC2003" class="line" lang="xml"><span class="idiff left"> To get the query plan, execute with </span><span class="nt" style="color: #000080;"><span class="idiff"><code></span></span><span class="idiff">EXPLAIN</span><span class="nt" style="color: #000080;"><span class="idiff"></code></span></span><span class="idiff right"> in front of the</span> query.<span class="nt" style="color: #000080;"></para></span></span>
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2417
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2004
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<pre style="margin: 0;"> <span id="LC2004" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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2005
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<pre style="margin: 0;"> <span id="LC2005" class="line" lang="xml"></span>
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2419
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2006
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<pre style="margin: 0;"> <span id="LC2006" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">-<span id="LC2420" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="idiff left right">Second, m</span>ake sure statistics are gathered about the number</span>
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2007
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<pre style="margin: 0;">+<span id="LC2007" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span><span class="idiff left right">M</span>ake sure statistics are gathered about the number</span>
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2421
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2008
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<pre style="margin: 0;"> <span id="LC2008" class="line" lang="xml"> and distributions of values in a table, to provide the query planner</span>
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2422
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2009
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<pre style="margin: 0;"> <span id="LC2009" class="line" lang="xml"> with better information to make decisions around index usage.</span>
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2423
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2010
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<pre style="margin: 0;"> <span id="LC2010" class="line" lang="xml"> <span class="nt" style="color: #000080;"><command></span>VACUUM ANALYZE<span class="nt" style="color: #000080;"></command></span> will compute both.<span class="nt" style="color: #000080;"></para></span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2450,286 +2037,14 @@ CREATE INDEX [indexname] ON [tablename]</td>
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2450
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2037
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<pre style="margin: 0;"> <span id="LC2037" class="line" lang="xml"></span>
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2038
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<pre style="margin: 0;"> <span id="LC2038" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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2452
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2039
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<pre style="margin: 0;"> <span id="LC2039" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>If <span class="nt" style="color: #000080;"><command></span>set enable_seqscan to off;<span class="nt" style="color: #000080;"></command></span> does not help your query,</span>
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2453
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<pre style="margin: 0;">-<span id="LC2453" class="line" lang="xml"> it may happen you use a construction Postgres is not yet able to untangle.</span>
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2454
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<pre style="margin: 0;">-<span id="LC2454" class="line" lang="xml"> A subquery with inline select is one example - you need to rewrite it to the form</span>
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2455
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<pre style="margin: 0;">-<span id="LC2455" class="line" lang="xml"> planner can optimize, say, a LATERAL JOIN.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC2040" class="line" lang="xml"> the query may be using a SQL construct that the Postgres planner is not yet able to optimize.</span>
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2041
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<pre style="margin: 0;">+<span id="LC2041" class="line" lang="xml"> It may be possible to rewrite the query in a way that the planner is able to handle.</span>
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<pre style="margin: 0;">+<span id="LC2042" class="line" lang="xml"> For example, a subquery with an inline SELECT may not produce an efficient plan,</span>
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<pre style="margin: 0;">+<span id="LC2043" class="line" lang="xml"> but could possibly be rewritten using a LATERAL JOIN.<span class="nt" style="color: #000080;"></para></span></span>
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2456
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2044
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<pre style="margin: 0;"> <span id="LC2044" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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2045
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<pre style="margin: 0;"> <span id="LC2045" class="line" lang="xml"></span>
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2046
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<pre style="margin: 0;"> <span id="LC2046" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></span></span>
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2459
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2047
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<pre style="margin: 0;"> <span id="LC2047" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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2460
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2048
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<pre style="margin: 0;"> <span id="LC2048" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect2></span></span>
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2461
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2049
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<pre style="margin: 0;"> <span id="LC2049" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2462" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2></span></span>
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<pre style="margin: 0;">-<span id="LC2463" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Complex Queries<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">-<span id="LC2464" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2465" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><emphasis></span>raison d'etre<span class="nt" style="color: #000080;"></emphasis></span> of spatial database</span>
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<pre style="margin: 0;">-<span id="LC2466" class="line" lang="xml"> functionality is performing queries inside the database which would</span>
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<pre style="margin: 0;">-<span id="LC2467" class="line" lang="xml"> ordinarily require desktop GIS functionality. Using PostGIS effectively</span>
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<pre style="margin: 0;">-<span id="LC2468" class="line" lang="xml"> requires knowing what spatial functions are available, and ensuring that</span>
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<pre style="margin: 0;">-<span id="LC2469" class="line" lang="xml"> appropriate indexes are in place to provide good performance. The SRID of 312 used in these</span>
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<pre style="margin: 0;">-<span id="LC2470" class="line" lang="xml"> examples is purely for demonstration. You should be using a REAL SRID listed in the the spatial_ref_sys table</span>
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<pre style="margin: 0;">-<span id="LC2471" class="line" lang="xml"> and one that matches the projection of your data. If your data has no spatial reference system</span>
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<pre style="margin: 0;">-<span id="LC2472" class="line" lang="xml"> specified, you should be THINKING very thoughtfully why it doesn't and maybe it should.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2473" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>If your reason is because you are modeling something that doesn't have a geographic spatial reference system defined such as the internals of a molecule</span>
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<pre style="margin: 0;">-<span id="LC2474" class="line" lang="xml"> or the floorplan of a not yet built amusement park then that's fine. If the location of the amusement park has been planned however, then it would make</span>
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<pre style="margin: 0;">-<span id="LC2475" class="line" lang="xml"> sense to use a suitable planar coordinate system for that location if nothing more than to ensure the amusement part is not trespassing on already existing</span>
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<pre style="margin: 0;">-<span id="LC2476" class="line" lang="xml"> structures.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2477" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Even in the case where you are planning a Mars expedition to transport the human race in the event of a nuclear holocaust</span>
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<pre style="margin: 0;">-<span id="LC2478" class="line" lang="xml">and you want to map out the Mars planet for rehabitation, you can use a non-earthly coordinate system such as <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://spatialreference.org/ref/iau2000/mars-2000/"</span><span class="nt" style="color: #000080;">></span>Mars 2000<span class="nt" style="color: #000080;"></ulink></span></span>
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<pre style="margin: 0;">-<span id="LC2479" class="line" lang="xml"> make one up and insert it in the <span class="nt" style="color: #000080;"><varname></span>spatial_ref_sys<span class="nt" style="color: #000080;"></varname></span> table. Though this Mars coordinate system is a non-planar one (it's in degrees spheroidal),</span>
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<pre style="margin: 0;">-<span id="LC2480" class="line" lang="xml"> you can use it with the geography type to have your length and proximity measurements in meters instead of degrees.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2481" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2482" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3></span></span>
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<pre style="margin: 0;">-<span id="LC2483" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Taking Advantage of Indexes<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">-<span id="LC2484" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2485" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>When constructing a query it is important to remember that only</span>
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<pre style="margin: 0;">-<span id="LC2486" class="line" lang="xml"> the bounding-box-based operators such as <span class="ni" style="color: #800080;">&&</span> can take advantage</span>
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<pre style="margin: 0;">-<span id="LC2487" class="line" lang="xml"> of the GiST spatial index. Functions such as</span>
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2488
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<pre style="margin: 0;">-<span id="LC2488" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span> cannot use the index to optimize their</span>
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2489
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<pre style="margin: 0;">-<span id="LC2489" class="line" lang="xml"> operation. For example, the following query would be quite slow on a</span>
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2490
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<pre style="margin: 0;">-<span id="LC2490" class="line" lang="xml"> large table:<span class="nt" style="color: #000080;"></para></span></span>
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2491
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<pre style="margin: 0;">-<span id="LC2491" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2492" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT the_geom</span>
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2493
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<pre style="margin: 0;">-<span id="LC2493" class="line" lang="xml">FROM geom_table</span>
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2494
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<pre style="margin: 0;">-<span id="LC2494" class="line" lang="xml">WHERE ST_Distance(the_geom, 'SRID=312;POINT(100000 200000)') <span class="ni" style="color: #800080;"><</span> 100<span class="nt" style="color: #000080;"></programlisting></span></span>
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2495
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<pre style="margin: 0;">-<span id="LC2495" class="line" lang="xml"></span>
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2496
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<pre style="margin: 0;">-<span id="LC2496" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query is selecting all the geometries in geom_table which are</span>
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2497
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<pre style="margin: 0;">-<span id="LC2497" class="line" lang="xml"> within 100 units of the point (100000, 200000). It will be slow because</span>
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2498
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<pre style="margin: 0;">-<span id="LC2498" class="line" lang="xml"> it is calculating the distance between each point in the table and our</span>
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2499
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<pre style="margin: 0;">-<span id="LC2499" class="line" lang="xml"> specified point, ie. one <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span> calculation</span>
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2500
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<pre style="margin: 0;">-<span id="LC2500" class="line" lang="xml"> for each row in the table. We can avoid this by using the single step</span>
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<pre style="margin: 0;">-<span id="LC2501" class="line" lang="xml"> index accelerated function ST_DWithin to reduce the number of distance</span>
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2502
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<pre style="margin: 0;">-<span id="LC2502" class="line" lang="xml"> calculations required:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2503" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2504" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT the_geom</span>
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2505
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<pre style="margin: 0;">-<span id="LC2505" class="line" lang="xml">FROM geom_table</span>
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2506
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<pre style="margin: 0;">-<span id="LC2506" class="line" lang="xml">WHERE ST_DWithin(the_geom, 'SRID=312;POINT(100000 200000)', 100)</span>
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2507
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<pre style="margin: 0;">-<span id="LC2507" class="line" lang="xml"><span class="nt" style="color: #000080;"></programlisting></span></span>
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2508
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<pre style="margin: 0;">-<span id="LC2508" class="line" lang="xml"></span>
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2509
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<pre style="margin: 0;">-<span id="LC2509" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query selects the same geometries, but it does it in a more</span>
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2510
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<pre style="margin: 0;">-<span id="LC2510" class="line" lang="xml"> efficient way. Assuming there is a GiST index on the_geom, the query</span>
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2511
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<pre style="margin: 0;">-<span id="LC2511" class="line" lang="xml"> planner will recognize that it can use the index to reduce the number of</span>
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<pre style="margin: 0;">-<span id="LC2512" class="line" lang="xml"> rows before calculating the result of the <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span></span>
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2513
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<pre style="margin: 0;">-<span id="LC2513" class="line" lang="xml"> function. Notice that the <span class="nt" style="color: #000080;"><varname></span>ST_MakeEnvelope<span class="nt" style="color: #000080;"></varname></span> geometry which is</span>
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2514
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<pre style="margin: 0;">-<span id="LC2514" class="line" lang="xml"> used in the <span class="ni" style="color: #800080;">&&</span> operation is a 200 unit square box centered on</span>
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2515
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<pre style="margin: 0;">-<span id="LC2515" class="line" lang="xml"> the original point - this is our "query box". The <span class="ni" style="color: #800080;">&&</span> operator</span>
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2516
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<pre style="margin: 0;">-<span id="LC2516" class="line" lang="xml"> uses the index to quickly reduce the result set down to only those</span>
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2517
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<pre style="margin: 0;">-<span id="LC2517" class="line" lang="xml"> geometries which have bounding boxes that overlap the "query box".</span>
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2518
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<pre style="margin: 0;">-<span id="LC2518" class="line" lang="xml"> Assuming that our query box is much smaller than the extents of the</span>
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2519
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<pre style="margin: 0;">-<span id="LC2519" class="line" lang="xml"> entire geometry table, this will drastically reduce the number of</span>
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2520
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<pre style="margin: 0;">-<span id="LC2520" class="line" lang="xml"> distance calculations that need to be done.<span class="nt" style="color: #000080;"></para></span></span>
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2521
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<pre style="margin: 0;">-<span id="LC2521" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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2522
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<pre style="margin: 0;">-<span id="LC2522" class="line" lang="xml"></span>
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2523
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<pre style="margin: 0;">-<span id="LC2523" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"examples_spatial_sql"</span><span class="nt" style="color: #000080;">></span></span>
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2524
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<pre style="margin: 0;">-<span id="LC2524" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Examples of Spatial SQL<span class="nt" style="color: #000080;"></title></span></span>
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2525
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<pre style="margin: 0;">-<span id="LC2525" class="line" lang="xml"></span>
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2526
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<pre style="margin: 0;">-<span id="LC2526" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The examples in this section will make use of two tables, a table</span>
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2527
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<pre style="margin: 0;">-<span id="LC2527" class="line" lang="xml"> of linear roads, and a table of polygonal municipality boundaries. The</span>
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2528
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<pre style="margin: 0;">-<span id="LC2528" class="line" lang="xml"> table definitions for the <span class="nt" style="color: #000080;"><varname></span>bc_roads<span class="nt" style="color: #000080;"></varname></span> table is:<span class="nt" style="color: #000080;"></para></span></span>
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2529
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<pre style="margin: 0;">-<span id="LC2529" class="line" lang="xml"></span>
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2530
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<pre style="margin: 0;">-<span id="LC2530" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>Column | Type | Description</span>
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2531
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<pre style="margin: 0;">-<span id="LC2531" class="line" lang="xml">------------+-------------------+-------------------</span>
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2532
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<pre style="margin: 0;">-<span id="LC2532" class="line" lang="xml">gid | integer | Unique ID</span>
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2533
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<pre style="margin: 0;">-<span id="LC2533" class="line" lang="xml">name | character varying | Road Name</span>
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2534
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<pre style="margin: 0;">-<span id="LC2534" class="line" lang="xml">the_geom | geometry | Location Geometry (Linestring)<span class="nt" style="color: #000080;"></programlisting></span></span>
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2535
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<pre style="margin: 0;">-<span id="LC2535" class="line" lang="xml"></span>
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2536
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<pre style="margin: 0;">-<span id="LC2536" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The table definition for the <span class="nt" style="color: #000080;"><varname></span>bc_municipality<span class="nt" style="color: #000080;"></varname></span></span>
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<pre style="margin: 0;">-<span id="LC2537" class="line" lang="xml"> table is:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2538" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2539" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>Column | Type | Description</span>
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<pre style="margin: 0;">-<span id="LC2540" class="line" lang="xml">-----------+-------------------+-------------------</span>
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<pre style="margin: 0;">-<span id="LC2541" class="line" lang="xml">gid | integer | Unique ID</span>
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<pre style="margin: 0;">-<span id="LC2542" class="line" lang="xml">code | integer | Unique ID</span>
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<pre style="margin: 0;">-<span id="LC2543" class="line" lang="xml">name | character varying | City / Town Name</span>
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<pre style="margin: 0;">-<span id="LC2544" class="line" lang="xml">the_geom | geometry | Location Geometry (Polygon)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC2545" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2546" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaset></span></span>
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<pre style="margin: 0;">-<span id="LC2547" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"qa_total_length_roads"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">-<span id="LC2548" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">-<span id="LC2549" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the total length of all roads, expressed in</span>
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<pre style="margin: 0;">-<span id="LC2550" class="line" lang="xml"> kilometers?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2551" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">-<span id="LC2552" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2553" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">-<span id="LC2554" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>You can answer this question with a very simple piece of</span>
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<pre style="margin: 0;">-<span id="LC2555" class="line" lang="xml"> SQL:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2556" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2557" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT sum(ST_Length(the_geom))/1000 AS km_roads FROM bc_roads;</span>
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<pre style="margin: 0;">-<span id="LC2558" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2559" class="line" lang="xml">km_roads</span>
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<pre style="margin: 0;">-<span id="LC2560" class="line" lang="xml">------------------</span>
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<pre style="margin: 0;">-<span id="LC2561" class="line" lang="xml">70842.1243039643</span>
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<pre style="margin: 0;">-<span id="LC2562" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC2567" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">-<span id="LC2568" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>How large is the city of Prince George, in hectares?<span class="nt" style="color: #000080;"></para></span></span>
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2569
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<pre style="margin: 0;">-<span id="LC2569" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">-<span id="LC2570" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2571" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">-<span id="LC2572" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query combines an attribute condition (on the</span>
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<pre style="margin: 0;">-<span id="LC2573" class="line" lang="xml"> municipality name) with a spatial calculation (of the</span>
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<pre style="margin: 0;">-<span id="LC2574" class="line" lang="xml"> area):<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2575" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2576" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">-<span id="LC2577" class="line" lang="xml"> ST_Area(the_geom)/10000 AS hectares</span>
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<pre style="margin: 0;">-<span id="LC2578" class="line" lang="xml">FROM bc_municipality</span>
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<pre style="margin: 0;">-<span id="LC2579" class="line" lang="xml">WHERE name = 'PRINCE GEORGE';</span>
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<pre style="margin: 0;">-<span id="LC2580" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2581" class="line" lang="xml">hectares</span>
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<pre style="margin: 0;">-<span id="LC2582" class="line" lang="xml">------------------</span>
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<pre style="margin: 0;">-<span id="LC2583" class="line" lang="xml">32657.9103824927</span>
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<pre style="margin: 0;">-<span id="LC2584" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC2585" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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<pre style="margin: 0;">-<span id="LC2586" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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<pre style="margin: 0;">-<span id="LC2587" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2588" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">-<span id="LC2589" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">-<span id="LC2590" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the largest municipality in the province, by</span>
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<pre style="margin: 0;">-<span id="LC2591" class="line" lang="xml"> area?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2592" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">-<span id="LC2593" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2594" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">-<span id="LC2595" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query brings a spatial measurement into the query</span>
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<pre style="margin: 0;">-<span id="LC2596" class="line" lang="xml"> condition. There are several ways of approaching this problem, but</span>
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<pre style="margin: 0;">-<span id="LC2597" class="line" lang="xml"> the most efficient is below:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2598" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2599" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">-<span id="LC2600" class="line" lang="xml"> name,</span>
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<pre style="margin: 0;">-<span id="LC2601" class="line" lang="xml"> ST_Area(the_geom)/10000 AS hectares</span>
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<pre style="margin: 0;">-<span id="LC2602" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">-<span id="LC2603" class="line" lang="xml"> bc_municipality</span>
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<pre style="margin: 0;">-<span id="LC2604" class="line" lang="xml">ORDER BY hectares DESC</span>
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<pre style="margin: 0;">-<span id="LC2605" class="line" lang="xml">LIMIT 1;</span>
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<pre style="margin: 0;">-<span id="LC2606" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2607" class="line" lang="xml">name | hectares</span>
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<pre style="margin: 0;">-<span id="LC2608" class="line" lang="xml">---------------+-----------------</span>
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<pre style="margin: 0;">-<span id="LC2609" class="line" lang="xml">TUMBLER RIDGE | 155020.02556131</span>
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2610
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<pre style="margin: 0;">-<span id="LC2610" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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2611
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<pre style="margin: 0;">-<span id="LC2611" class="line" lang="xml"></span>
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2612
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<pre style="margin: 0;">-<span id="LC2612" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Note that in order to answer this query we have to calculate</span>
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2613
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<pre style="margin: 0;">-<span id="LC2613" class="line" lang="xml"> the area of every polygon. If we were doing this a lot it would</span>
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2614
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<pre style="margin: 0;">-<span id="LC2614" class="line" lang="xml"> make sense to add an area column to the table that we could</span>
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2615
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<pre style="margin: 0;">-<span id="LC2615" class="line" lang="xml"> separately index for performance. By ordering the results in a</span>
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2616
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<pre style="margin: 0;">-<span id="LC2616" class="line" lang="xml"> descending direction, and them using the PostgreSQL "LIMIT"</span>
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2617
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<pre style="margin: 0;">-<span id="LC2617" class="line" lang="xml"> command we can easily pick off the largest value without using an</span>
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2618
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<pre style="margin: 0;">-<span id="LC2618" class="line" lang="xml"> aggregate function like max().<span class="nt" style="color: #000080;"></para></span></span>
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2619
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<pre style="margin: 0;">-<span id="LC2619" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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2620
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<pre style="margin: 0;">-<span id="LC2620" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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2621
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<pre style="margin: 0;">-<span id="LC2621" class="line" lang="xml"></span>
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2622
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<pre style="margin: 0;">-<span id="LC2622" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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2623
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<pre style="margin: 0;">-<span id="LC2623" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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2624
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<pre style="margin: 0;">-<span id="LC2624" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the length of roads fully contained within each</span>
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2625
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<pre style="margin: 0;">-<span id="LC2625" class="line" lang="xml"> municipality?<span class="nt" style="color: #000080;"></para></span></span>
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2626
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<pre style="margin: 0;">-<span id="LC2626" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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2627
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<pre style="margin: 0;">-<span id="LC2627" class="line" lang="xml"></span>
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2628
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<pre style="margin: 0;">-<span id="LC2628" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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2629
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<pre style="margin: 0;">-<span id="LC2629" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This is an example of a "spatial join", because we are</span>
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2630
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<pre style="margin: 0;">-<span id="LC2630" class="line" lang="xml"> bringing together data from two tables (doing a join) but using a</span>
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2631
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<pre style="margin: 0;">-<span id="LC2631" class="line" lang="xml"> spatial interaction condition ("contained") as the join condition</span>
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2632
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<pre style="margin: 0;">-<span id="LC2632" class="line" lang="xml"> rather than the usual relational approach of joining on a common</span>
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2633
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<pre style="margin: 0;">-<span id="LC2633" class="line" lang="xml"> key:<span class="nt" style="color: #000080;"></para></span></span>
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2634
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<pre style="margin: 0;">-<span id="LC2634" class="line" lang="xml"></span>
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2635
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<pre style="margin: 0;">-<span id="LC2635" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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2636
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<pre style="margin: 0;">-<span id="LC2636" class="line" lang="xml"> m.name,</span>
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2637
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<pre style="margin: 0;">-<span id="LC2637" class="line" lang="xml"> sum(ST_Length(r.the_geom))/1000 as roads_km</span>
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2638
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<pre style="margin: 0;">-<span id="LC2638" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">-<span id="LC2639" class="line" lang="xml"> bc_roads AS r,</span>
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2640
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<pre style="margin: 0;">-<span id="LC2640" class="line" lang="xml"> bc_municipality AS m</span>
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2641
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<pre style="margin: 0;">-<span id="LC2641" class="line" lang="xml">WHERE</span>
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2642
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<pre style="margin: 0;">-<span id="LC2642" class="line" lang="xml"> ST_Contains(m.the_geom, r.the_geom)</span>
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2643
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<pre style="margin: 0;">-<span id="LC2643" class="line" lang="xml">GROUP BY m.name</span>
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2644
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<pre style="margin: 0;">-<span id="LC2644" class="line" lang="xml">ORDER BY roads_km;</span>
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2645
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<pre style="margin: 0;">-<span id="LC2645" class="line" lang="xml"></span>
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2646
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<pre style="margin: 0;">-<span id="LC2646" class="line" lang="xml">name | roads_km</span>
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2647
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<pre style="margin: 0;">-<span id="LC2647" class="line" lang="xml">----------------------------+------------------</span>
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2648
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<pre style="margin: 0;">-<span id="LC2648" class="line" lang="xml">SURREY | 1539.47553551242</span>
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2649
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<pre style="margin: 0;">-<span id="LC2649" class="line" lang="xml">VANCOUVER | 1450.33093486576</span>
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2650
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<pre style="margin: 0;">-<span id="LC2650" class="line" lang="xml">LANGLEY DISTRICT | 833.793392535662</span>
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2651
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<pre style="margin: 0;">-<span id="LC2651" class="line" lang="xml">BURNABY | 773.769091404338</span>
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2652
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<pre style="margin: 0;">-<span id="LC2652" class="line" lang="xml">PRINCE GEORGE | 694.37554369147</span>
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2653
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<pre style="margin: 0;">-<span id="LC2653" class="line" lang="xml">...<span class="nt" style="color: #000080;"></programlisting></span></span>
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2654
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<pre style="margin: 0;">-<span id="LC2654" class="line" lang="xml"></span>
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2655
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<pre style="margin: 0;">-<span id="LC2655" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query takes a while, because every road in the table is</span>
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2656
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<pre style="margin: 0;">-<span id="LC2656" class="line" lang="xml"> summarized into the final result (about 250K roads for our</span>
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2657
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<pre style="margin: 0;">-<span id="LC2657" class="line" lang="xml"> particular example table). For smaller overlays (several thousand</span>
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2658
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<pre style="margin: 0;">-<span id="LC2658" class="line" lang="xml"> records on several hundred) the response can be very fast.<span class="nt" style="color: #000080;"></para></span></span>
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2659
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<pre style="margin: 0;">-<span id="LC2659" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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2660
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<pre style="margin: 0;">-<span id="LC2660" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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2661
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<pre style="margin: 0;">-<span id="LC2661" class="line" lang="xml"></span>
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2662
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<pre style="margin: 0;">-<span id="LC2662" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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2663
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<pre style="margin: 0;">-<span id="LC2663" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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2664
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<pre style="margin: 0;">-<span id="LC2664" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Create a new table with all the roads within the city of</span>
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<pre style="margin: 0;">-<span id="LC2665" class="line" lang="xml"> Prince George.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2666" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">-<span id="LC2667" class="line" lang="xml"></span>
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2668
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<pre style="margin: 0;">-<span id="LC2668" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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2669
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<pre style="margin: 0;">-<span id="LC2669" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This is an example of an "overlay", which takes in two</span>
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2670
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<pre style="margin: 0;">-<span id="LC2670" class="line" lang="xml"> tables and outputs a new table that consists of spatially clipped</span>
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2671
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<pre style="margin: 0;">-<span id="LC2671" class="line" lang="xml"> or cut resultants. Unlike the "spatial join" demonstrated above,</span>
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2672
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<pre style="margin: 0;">-<span id="LC2672" class="line" lang="xml"> this query actually creates new geometries. An overlay is like a</span>
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<pre style="margin: 0;">-<span id="LC2673" class="line" lang="xml"> turbo-charged spatial join, and is useful for more exact analysis</span>
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<pre style="margin: 0;">-<span id="LC2674" class="line" lang="xml"> work:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2675" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2676" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>CREATE TABLE pg_roads as</span>
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2677
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<pre style="margin: 0;">-<span id="LC2677" class="line" lang="xml">SELECT</span>
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<pre style="margin: 0;">-<span id="LC2678" class="line" lang="xml"> ST_Intersection(r.the_geom, m.the_geom) AS intersection_geom,</span>
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2679
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<pre style="margin: 0;">-<span id="LC2679" class="line" lang="xml"> ST_Length(r.the_geom) AS rd_orig_length,</span>
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<pre style="margin: 0;">-<span id="LC2680" class="line" lang="xml"> r.*</span>
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2681
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<pre style="margin: 0;">-<span id="LC2681" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">-<span id="LC2682" class="line" lang="xml"> bc_roads AS r,</span>
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2683
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<pre style="margin: 0;">-<span id="LC2683" class="line" lang="xml"> bc_municipality AS m</span>
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2684
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<pre style="margin: 0;">-<span id="LC2684" class="line" lang="xml">WHERE</span>
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2685
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<pre style="margin: 0;">-<span id="LC2685" class="line" lang="xml"> m.name = 'PRINCE GEORGE'</span>
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2686
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<pre style="margin: 0;">-<span id="LC2686" class="line" lang="xml"> AND ST_Intersects(r.the_geom, m.the_geom);<span class="nt" style="color: #000080;"></programlisting></span></span>
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2687
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<pre style="margin: 0;">-<span id="LC2687" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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2688
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<pre style="margin: 0;">-<span id="LC2688" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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2689
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<pre style="margin: 0;">-<span id="LC2689" class="line" lang="xml"></span>
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2690
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<pre style="margin: 0;">-<span id="LC2690" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">-<span id="LC2691" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">-<span id="LC2692" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the length in kilometers of "Douglas St" in</span>
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<pre style="margin: 0;">-<span id="LC2693" class="line" lang="xml"> Victoria?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">-<span id="LC2694" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">-<span id="LC2695" class="line" lang="xml"></span>
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<pre style="margin: 0;">-<span id="LC2696" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">-<span id="LC2697" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">-<span id="LC2698" class="line" lang="xml"> sum(ST_Length(r.the_geom))/1000 AS kilometers</span>
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<pre style="margin: 0;">-<span id="LC2699" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">-<span id="LC2700" class="line" lang="xml"> bc_roads r,</span>
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<pre style="margin: 0;">-<span id="LC2701" class="line" lang="xml"> bc_municipality m</span>
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<pre style="margin: 0;">-<span id="LC2702" class="line" lang="xml">WHERE</span>
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<pre style="margin: 0;">-<span id="LC2703" class="line" lang="xml"> r.name = 'Douglas St'</span>
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<pre style="margin: 0;">-<span id="LC2704" class="line" lang="xml"> AND m.name = 'VICTORIA'</span>
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<pre style="margin: 0;">-<span id="LC2705" class="line" lang="xml"> AND ST_Intersects(m.the_geom, r.the_geom);</span>
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<pre style="margin: 0;">-<span id="LC2706" class="line" lang="xml"></span>
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2707
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<pre style="margin: 0;">-<span id="LC2707" class="line" lang="xml">kilometers</span>
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2708
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<pre style="margin: 0;">-<span id="LC2708" class="line" lang="xml">------------------</span>
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2709
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<pre style="margin: 0;">-<span id="LC2709" class="line" lang="xml">4.89151904172838</span>
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2710
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<pre style="margin: 0;">-<span id="LC2710" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC2711" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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2712
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<pre style="margin: 0;">-<span id="LC2712" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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2713
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<pre style="margin: 0;">-<span id="LC2713" class="line" lang="xml"></span>
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2714
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<pre style="margin: 0;">-<span id="LC2714" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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2715
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<pre style="margin: 0;">-<span id="LC2715" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">-<span id="LC2716" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the largest municipality polygon that has a</span>
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<pre style="margin: 0;">-<span id="LC2717" class="line" lang="xml"> hole?<span class="nt" style="color: #000080;"></para></span></span>
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2718
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<pre style="margin: 0;">-<span id="LC2718" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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2719
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<pre style="margin: 0;">-<span id="LC2719" class="line" lang="xml"></span>
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2720
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<pre style="margin: 0;">-<span id="LC2720" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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2721
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<pre style="margin: 0;">-<span id="LC2721" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT gid, name, ST_Area(the_geom) AS area</span>
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2722
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<pre style="margin: 0;">-<span id="LC2722" class="line" lang="xml">FROM bc_municipality</span>
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2723
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<pre style="margin: 0;">-<span id="LC2723" class="line" lang="xml">WHERE ST_NRings(the_geom) <span class="ni" style="color: #800080;">></span> 1</span>
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2724
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<pre style="margin: 0;">-<span id="LC2724" class="line" lang="xml">ORDER BY area DESC LIMIT 1;</span>
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2725
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<pre style="margin: 0;">-<span id="LC2725" class="line" lang="xml"></span>
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2726
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<pre style="margin: 0;">-<span id="LC2726" class="line" lang="xml">gid | name | area</span>
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2727
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<pre style="margin: 0;">-<span id="LC2727" class="line" lang="xml">-----+--------------+------------------</span>
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2728
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<pre style="margin: 0;">-<span id="LC2728" class="line" lang="xml">12 | SPALLUMCHEEN | 257374619.430216</span>
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2729
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<pre style="margin: 0;">-<span id="LC2729" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">-<span id="LC2730" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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2731
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<pre style="margin: 0;">-<span id="LC2731" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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2732
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<pre style="margin: 0;">-<span id="LC2732" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaset></span></span>
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2733
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<pre style="margin: 0;">-<span id="LC2733" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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2734
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<pre style="margin: 0;">-<span id="LC2734" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect2></span></span>
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2735
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2050
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<pre style="margin: 0;"> <span id="LC2050" class="line" lang="xml"><span class="nt" style="color: #000080;"></sect1></span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#cba6c82874de03d75982b7e7c056585094406f92"><strong>doc/using_postgis_query.xml</strong></a>
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1
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="xml"><span class="cp" style="color: #999; font-weight: 600;"><?xml version="1.0" encoding="UTF-8"?></span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="xml"><span class="nt" style="color: #000080;"><sect1</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"using_postgis_query"</span><span class="nt" style="color: #000080;">></span></span>
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3
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Spatial Queries<span class="nt" style="color: #000080;"></title></span></span>
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4
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><emphasis></span>raison d'etre<span class="nt" style="color: #000080;"></emphasis></span> of spatial database</span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="xml"> functionality is performing queries inside the database which would</span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="xml"> ordinarily require desktop GIS functionality. Using PostGIS effectively</span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="xml"> requires knowing what spatial functions are available,</span>
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="xml"> how to use them in queries, and ensuring that</span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="xml"> appropriate indexes are in place to provide good performance.</span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"eval_spatial_rel"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Determining Spatial Relationships<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC16" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Spatial relationships indicate how two geometries interact with one another.</span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="xml"> They are a fundamental capability for querying geometry.</span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3></span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Dimensionally Extended 9-Intersection Model<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>According to the <span class="nt" style="color: #000080;"><ulink</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="xml"> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/standards/sfs"</span><span class="nt" style="color: #000080;">></span>OpenGIS Simple</span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="xml"> Features Implementation Specification for SQL<span class="nt" style="color: #000080;"></ulink></span>, "the basic</span>
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="xml"> approach to comparing two geometries is to make pair-wise tests of</span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="xml"> the intersections between the Interiors, Boundaries and Exteriors of</span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="xml"> the two geometries and to classify the relationship between the two</span>
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<pre style="margin: 0;">+<span id="LC29" class="line" lang="xml"> geometries based on the entries in the resulting 'intersection'</span>
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="xml"> matrix."<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC31" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>In the theory of point-set topology,</span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="xml"> the points in a geometry embedded in 2-dimensional space are categorized into three sets:</span>
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC35" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glosslist></span></span>
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<pre style="margin: 0;">+<span id="LC37" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC38" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Boundary<span class="nt" style="color: #000080;"></glossterm></span></span>
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<pre style="margin: 0;">+<span id="LC39" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC40" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC41" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The boundary of a geometry is the set of geometries of</span>
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<pre style="margin: 0;">+<span id="LC42" class="line" lang="xml"> the next lower dimension. For <span class="nt" style="color: #000080;"><varname></span>POINT<span class="nt" style="color: #000080;"></varname></span>s, which</span>
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<pre style="margin: 0;">+<span id="LC43" class="line" lang="xml"> have a dimension of 0, the boundary is the empty set. The</span>
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<pre style="margin: 0;">+<span id="LC44" class="line" lang="xml"> boundary of a <span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span> is the two</span>
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<pre style="margin: 0;">+<span id="LC45" class="line" lang="xml"> endpoints. For <span class="nt" style="color: #000080;"><varname></span>POLYGON<span class="nt" style="color: #000080;"></varname></span>s, the boundary is</span>
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<pre style="margin: 0;">+<span id="LC46" class="line" lang="xml"> the linework of the exterior and interior</span>
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<pre style="margin: 0;">+<span id="LC47" class="line" lang="xml"> rings.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC48" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC49" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC50" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC51" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Interior<span class="nt" style="color: #000080;"></glossterm></span></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The interior of a geometry are those points of a</span>
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<pre style="margin: 0;">+<span id="LC56" class="line" lang="xml"> geometry that are not in the boundary. For</span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>POINT<span class="nt" style="color: #000080;"></varname></span>s, the interior is the</span>
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<pre style="margin: 0;">+<span id="LC58" class="line" lang="xml"> point itself. The interior of a</span>
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<pre style="margin: 0;">+<span id="LC59" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span> is the set of points</span>
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<pre style="margin: 0;">+<span id="LC60" class="line" lang="xml"> between the endpoints. For <span class="nt" style="color: #000080;"><varname></span>POLYGON<span class="nt" style="color: #000080;"></varname></span>s, the</span>
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<pre style="margin: 0;">+<span id="LC61" class="line" lang="xml"> interior is the areal surface inside the polygon.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC62" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC63" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC64" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC65" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC66" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossterm></span>Exterior<span class="nt" style="color: #000080;"></glossterm></span></span>
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<pre style="margin: 0;">+<span id="LC67" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC68" class="line" lang="xml"> <span class="nt" style="color: #000080;"><glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC69" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The exterior of a geometry is the rest of the space</span>
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<pre style="margin: 0;">+<span id="LC70" class="line" lang="xml"> in which the geometry is embedded;</span>
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<pre style="margin: 0;">+<span id="LC71" class="line" lang="xml"> in other words, all points not in the interior or on the boundary of the geometry.</span>
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<pre style="margin: 0;">+<span id="LC72" class="line" lang="xml"> It is a 2-dimensional non-closed surface.</span>
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<pre style="margin: 0;">+<span id="LC73" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC74" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossdef></span></span>
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<pre style="margin: 0;">+<span id="LC75" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glossentry></span></span>
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<pre style="margin: 0;">+<span id="LC76" class="line" lang="xml"> <span class="nt" style="color: #000080;"></glosslist></span></span>
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC78" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://en.wikipedia.org/wiki/DE-9IM"</span><span class="nt" style="color: #000080;">></span>Dimensionally Extended 9-Intersection Model<span class="nt" style="color: #000080;"></ulink></span></span>
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<pre style="margin: 0;">+<span id="LC79" class="line" lang="xml"> (DE-9IM) describes the spatial relationship between two geometries</span>
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<pre style="margin: 0;">+<span id="LC80" class="line" lang="xml"> by specifying the dimensions of the 9 intersections between the above sets for each geometry.</span>
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<pre style="margin: 0;">+<span id="LC81" class="line" lang="xml"> The intersection dimensions can be formally represented</span>
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<pre style="margin: 0;">+<span id="LC82" class="line" lang="xml"> in a 3x3 <span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>intersection matrix<span class="nt" style="color: #000080;"></emphasis></span>.</span>
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<pre style="margin: 0;">+<span id="LC83" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC84" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC85" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For a geometry <span class="nt" style="color: #000080;"><emphasis></span>g<span class="nt" style="color: #000080;"></emphasis></span></span>
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<pre style="margin: 0;">+<span id="LC86" class="line" lang="xml"> the <span class="nt" style="color: #000080;"><emphasis></span>Interior<span class="nt" style="color: #000080;"></emphasis></span>, <span class="nt" style="color: #000080;"><emphasis></span>Boundary<span class="nt" style="color: #000080;"></emphasis></span>, and <span class="nt" style="color: #000080;"><emphasis></span>Exterior<span class="nt" style="color: #000080;"></emphasis></span></span>
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<pre style="margin: 0;">+<span id="LC87" class="line" lang="xml"> are denoted using the notation</span>
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<pre style="margin: 0;">+<span id="LC88" class="line" lang="xml"> <span class="nt" style="color: #000080;"><emphasis></span>I(g)<span class="nt" style="color: #000080;"></emphasis></span>, <span class="nt" style="color: #000080;"><emphasis></span>B(g)<span class="nt" style="color: #000080;"></emphasis></span>, and</span>
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<pre style="margin: 0;">+<span id="LC89" class="line" lang="xml"> <span class="nt" style="color: #000080;"><emphasis></span>E(g)<span class="nt" style="color: #000080;"></emphasis></span>.</span>
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<pre style="margin: 0;">+<span id="LC90" class="line" lang="xml"> Also, <span class="nt" style="color: #000080;"><emphasis></span>dim(s)<span class="nt" style="color: #000080;"></emphasis></span> denotes the dimension of</span>
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<pre style="margin: 0;">+<span id="LC91" class="line" lang="xml"> a set <span class="nt" style="color: #000080;"><emphasis></span>s<span class="nt" style="color: #000080;"></emphasis></span> with the domain of</span>
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<pre style="margin: 0;">+<span id="LC92" class="line" lang="xml"> <span class="nt" style="color: #000080;"><literal></span>{0,1,2,F}<span class="nt" style="color: #000080;"></literal></span>:</span>
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<pre style="margin: 0;">+<span id="LC93" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC94" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC95" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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96
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<pre style="margin: 0;">+<span id="LC96" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC97" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>0<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> point<span class="nt" style="color: #000080;"></para></span></span>
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98
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<pre style="margin: 0;">+<span id="LC98" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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99
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<pre style="margin: 0;">+<span id="LC99" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC100" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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101
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<pre style="margin: 0;">+<span id="LC101" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>1<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> line<span class="nt" style="color: #000080;"></para></span></span>
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102
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<pre style="margin: 0;">+<span id="LC102" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC104" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC105" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>2<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> area<span class="nt" style="color: #000080;"></para></span></span>
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106
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<pre style="margin: 0;">+<span id="LC106" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC108" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC109" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>F<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> empty set<span class="nt" style="color: #000080;"></para></span></span>
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110
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<pre style="margin: 0;">+<span id="LC110" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC112" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></span></span>
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<pre style="margin: 0;">+<span id="LC114" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span></span>
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<pre style="margin: 0;">+<span id="LC115" class="line" lang="xml"> Using this notation, the intersection matrix</span>
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<pre style="margin: 0;">+<span id="LC116" class="line" lang="xml"> for two geometries <span class="nt" style="color: #000080;"><emphasis></span>a<span class="nt" style="color: #000080;"></emphasis></span> and <span class="nt" style="color: #000080;"><emphasis></span>b<span class="nt" style="color: #000080;"></emphasis></span> is:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC117" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC118" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">tabstyle=</span><span class="s" style="color: #d14;">"styledtable"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC119" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"4"</span><span class="nt" style="color: #000080;">></span></span>
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120
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<pre style="margin: 0;">+<span id="LC120" class="line" lang="xml"> <span class="nt" style="color: #000080;"><thead></span></span>
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<pre style="margin: 0;">+<span id="LC121" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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124
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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125
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<pre style="margin: 0;">+<span id="LC125" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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126
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<pre style="margin: 0;">+<span id="LC126" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">+<span id="LC127" class="line" lang="xml"> <span class="nt" style="color: #000080;"></thead></span></span>
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128
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129
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<pre style="margin: 0;">+<span id="LC129" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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130
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<pre style="margin: 0;">+<span id="LC130" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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131
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<pre style="margin: 0;">+<span id="LC131" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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132
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<pre style="margin: 0;">+<span id="LC132" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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133
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<pre style="margin: 0;">+<span id="LC133" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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134
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<pre style="margin: 0;">+<span id="LC134" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( I(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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135
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<pre style="margin: 0;">+<span id="LC135" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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136
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<pre style="margin: 0;">+<span id="LC136" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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137
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<pre style="margin: 0;">+<span id="LC137" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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138
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<pre style="margin: 0;">+<span id="LC138" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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139
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<pre style="margin: 0;">+<span id="LC139" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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140
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<pre style="margin: 0;">+<span id="LC140" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( B(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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141
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<pre style="margin: 0;">+<span id="LC141" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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142
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<pre style="margin: 0;">+<span id="LC142" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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143
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<pre style="margin: 0;">+<span id="LC143" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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144
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<pre style="margin: 0;">+<span id="LC144" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ I(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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145
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<pre style="margin: 0;">+<span id="LC145" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ B(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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146
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<pre style="margin: 0;">+<span id="LC146" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis></span>dim( E(a) ∩ E(b) )<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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147
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<pre style="margin: 0;">+<span id="LC147" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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148
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<pre style="margin: 0;">+<span id="LC148" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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149
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<pre style="margin: 0;">+<span id="LC149" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC150" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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151
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<pre style="margin: 0;">+<span id="LC151" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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152
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<pre style="margin: 0;">+<span id="LC152" class="line" lang="xml"></span>
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153
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<pre style="margin: 0;">+<span id="LC153" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Visually, for two overlapping polygonal geometries, this looks like:<span class="nt" style="color: #000080;"></para></span></span>
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154
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<pre style="margin: 0;">+<span id="LC154" class="line" lang="xml"></span>
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155
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<pre style="margin: 0;">+<span id="LC155" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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156
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<pre style="margin: 0;">+<span id="LC156" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"2"</span><span class="nt" style="color: #000080;">></span></span>
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157
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<pre style="margin: 0;">+<span id="LC157" class="line" lang="xml"> <span class="nt" style="color: #000080;"><colspec</span> <span class="na" style="color: #008080;">colwidth=</span><span class="s" style="color: #d14;">"80pt"</span> <span class="nt" style="color: #000080;">/></span></span>
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158
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<pre style="margin: 0;">+<span id="LC158" class="line" lang="xml"></span>
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159
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<pre style="margin: 0;">+<span id="LC159" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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160
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<pre style="margin: 0;">+<span id="LC160" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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161
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<pre style="margin: 0;">+<span id="LC161" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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162
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<pre style="margin: 0;">+<span id="LC162" class="line" lang="xml"></span>
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163
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<pre style="margin: 0;">+<span id="LC163" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span><span class="nt" style="color: #000080;">><para><informalfigure></span></span>
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164
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<pre style="margin: 0;">+<span id="LC164" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im04.png"</span></span>
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165
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<pre style="margin: 0;">+<span id="LC165" class="line" lang="xml"> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span> <span class="nt" style="color: #000080;">/></span></span>
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166
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<pre style="margin: 0;">+<span id="LC166" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></entry></span></span>
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167
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<pre style="margin: 0;">+<span id="LC167" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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168
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<pre style="margin: 0;">+<span id="LC168" class="line" lang="xml"></span>
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169
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<pre style="margin: 0;">+<span id="LC169" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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170
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<pre style="margin: 0;">+<span id="LC170" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">><para><informalfigure></span></span>
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171
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<pre style="margin: 0;">+<span id="LC171" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im03.png"</span></span>
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172
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<pre style="margin: 0;">+<span id="LC172" class="line" lang="xml"> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span> <span class="nt" style="color: #000080;">/></span></span>
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173
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<pre style="margin: 0;">+<span id="LC173" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></entry></span></span>
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174
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<pre style="margin: 0;">+<span id="LC174" class="line" lang="xml"></span>
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175
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<pre style="margin: 0;">+<span id="LC175" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para></span> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">tabstyle=</span><span class="s" style="color: #d14;">"styledtable"</span><span class="nt" style="color: #000080;">></span></span>
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176
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<pre style="margin: 0;">+<span id="LC176" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"center"</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"4"</span><span class="nt" style="color: #000080;">></span></span>
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177
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<pre style="margin: 0;">+<span id="LC177" class="line" lang="xml"> <span class="nt" style="color: #000080;"><thead</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">></span></span>
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178
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<pre style="margin: 0;">+<span id="LC178" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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179
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<pre style="margin: 0;">+<span id="LC179" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry></entry></span></span>
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180
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<pre style="margin: 0;">+<span id="LC180" class="line" lang="xml"></span>
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181
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<pre style="margin: 0;">+<span id="LC181" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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182
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<pre style="margin: 0;">+<span id="LC182" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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183
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<pre style="margin: 0;">+<span id="LC183" class="line" lang="xml"></span>
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184
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<pre style="margin: 0;">+<span id="LC184" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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185
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<pre style="margin: 0;">+<span id="LC185" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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186
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<pre style="margin: 0;">+<span id="LC186" class="line" lang="xml"></span>
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187
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<pre style="margin: 0;">+<span id="LC187" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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188
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<pre style="margin: 0;">+<span id="LC188" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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189
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<pre style="margin: 0;">+<span id="LC189" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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190
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<pre style="margin: 0;">+<span id="LC190" class="line" lang="xml"> <span class="nt" style="color: #000080;"></thead></span></span>
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191
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<pre style="margin: 0;">+<span id="LC191" class="line" lang="xml"></span>
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192
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<pre style="margin: 0;">+<span id="LC192" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody</span> <span class="na" style="color: #008080;">valign=</span><span class="s" style="color: #d14;">"middle"</span><span class="nt" style="color: #000080;">></span></span>
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193
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<pre style="margin: 0;">+<span id="LC193" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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194
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<pre style="margin: 0;">+<span id="LC194" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry</span> <span class="na" style="color: #008080;">spanname=</span><span class="s" style="color: #d14;">"de9im_a"</span> <span class="na" style="color: #008080;">style=</span><span class="s" style="color: #d14;">""</span><span class="nt" style="color: #000080;">><emphasis</span></span>
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195
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<pre style="margin: 0;">+<span id="LC195" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Interior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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196
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<pre style="margin: 0;">+<span id="LC196" class="line" lang="xml"></span>
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197
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<pre style="margin: 0;">+<span id="LC197" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC198" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im05.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC199" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ I(b) ) =</span>
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200
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<pre style="margin: 0;">+<span id="LC200" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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201
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<pre style="margin: 0;">+<span id="LC201" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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202
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<pre style="margin: 0;">+<span id="LC203" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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204
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<pre style="margin: 0;">+<span id="LC204" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im06.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC205" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ B(b) =</span>
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<pre style="margin: 0;">+<span id="LC206" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC207" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC208" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC209" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC210" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im07.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC211" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( I(a) ∩ E(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC212" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC213" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC214" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">+<span id="LC216" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">+<span id="LC217" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC218" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Boundary<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<pre style="margin: 0;">+<span id="LC220" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC221" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im08.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC222" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ I(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC223" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC224" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im09.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC228" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ B(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC229" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC230" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>0<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC231" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC232" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC233" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im10.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC234" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( B(a) ∩ E(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC235" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC236" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC237" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">+<span id="LC239" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">+<span id="LC240" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC241" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>Exterior<span class="nt" style="color: #000080;"></emphasis></entry></span></span>
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<pre style="margin: 0;">+<span id="LC242" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC243" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC244" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im11.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC245" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ I(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC246" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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247
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<pre style="margin: 0;">+<span id="LC247" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC248" class="line" lang="xml"></span>
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249
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<pre style="margin: 0;">+<span id="LC249" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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250
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<pre style="margin: 0;">+<span id="LC250" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im12.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC251" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ B(b) ) =</span>
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<pre style="margin: 0;">+<span id="LC252" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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253
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<pre style="margin: 0;">+<span id="LC253" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC254" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC255" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure></span></span>
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<pre style="margin: 0;">+<span id="LC256" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im13.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC257" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para><emphasis></span>dim( E(a) ∩ E(b) =</span>
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<pre style="margin: 0;">+<span id="LC258" class="line" lang="xml"> <span class="nt" style="color: #000080;"></emphasis><emphasis</span></span>
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<pre style="margin: 0;">+<span id="LC259" class="line" lang="xml"> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>2<span class="nt" style="color: #000080;"></emphasis></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC269" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Reading from left to right and top to bottom, the intersection matrix is</span>
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<pre style="margin: 0;">+<span id="LC270" class="line" lang="xml"> represented as the text string '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>212101212<span class="nt" style="color: #000080;"></emphasis></span>'.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC271" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC272" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For more information, refer to:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC273" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC274" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC275" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC276" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://www.opengeospatial.org/standards/sfs"</span><span class="nt" style="color: #000080;">></span>OpenGIS Simple</span>
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<pre style="margin: 0;">+<span id="LC277" class="line" lang="xml"> Features Implementation Specification for SQL<span class="nt" style="color: #000080;"></ulink></span> (version 1.1, section 2.1.13.2)<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC278" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC280" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC281" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"https://en.wikipedia.org/wiki/DE-9IM"</span><span class="nt" style="color: #000080;">></span>Wikipedia: Dimensionally</span>
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<pre style="margin: 0;">+<span id="LC282" class="line" lang="xml"> Extended Nine-Intersection Model (DE-9IM)<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">+<span id="LC283" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC284" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC285" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"http://docs.geotools.org/latest/userguide/library/jts/dim9.html"</span><span class="nt" style="color: #000080;">></span>GeoTools: Point Set Theory and the DE-9IM Matrix<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">+<span id="LC289" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">+<span id="LC291" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3></span></span>
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<pre style="margin: 0;">+<span id="LC292" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Named Spatial Relationships<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC293" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC294" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>To make it easy to determine common spatial relationships,</span>
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<pre style="margin: 0;">+<span id="LC295" class="line" lang="xml"> the OGC SFS defines a set of <span class="nt" style="color: #000080;"><emphasis></span>named spatial relationship predicates<span class="nt" style="color: #000080;"></emphasis></span>.</span>
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296
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<pre style="margin: 0;">+<span id="LC296" class="line" lang="xml"> PostGIS provides these as the functions</span>
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297
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<pre style="margin: 0;">+<span id="LC297" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Contains"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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298
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<pre style="margin: 0;">+<span id="LC298" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Crosses"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Disjoint"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Equals"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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299
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<pre style="margin: 0;">+<span id="LC299" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersects"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Overlaps"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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300
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<pre style="margin: 0;">+<span id="LC300" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Touches"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Within"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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301
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<pre style="margin: 0;">+<span id="LC301" class="line" lang="xml"> It also defines the non-standard relationship predicates</span>
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302
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<pre style="margin: 0;">+<span id="LC302" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Covers"</span> <span class="nt" style="color: #000080;">/></span>, <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_CoveredBy"</span> <span class="nt" style="color: #000080;">/></span>,</span>
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303
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<pre style="margin: 0;">+<span id="LC303" class="line" lang="xml"> and <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_ContainsProperly"</span> <span class="nt" style="color: #000080;">/></span>.</span>
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304
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<pre style="margin: 0;">+<span id="LC304" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC305" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Spatial predicates are usually used as conditions in SQL <span class="nt" style="color: #000080;"><code></span>WHERE<span class="nt" style="color: #000080;"></code></span> or <span class="nt" style="color: #000080;"><code></span>JOIN<span class="nt" style="color: #000080;"></code></span> clauses.</span>
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<pre style="margin: 0;">+<span id="LC306" class="line" lang="xml"> The named spatial predicates automatically use a spatial index if one is available,</span>
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<pre style="margin: 0;">+<span id="LC307" class="line" lang="xml"> so there is no need to use the bounding box operator <span class="nt" style="color: #000080;"><code></span><span class="ni" style="color: #800080;">&&</span><span class="nt" style="color: #000080;"></code></span> as well.</span>
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<pre style="margin: 0;">+<span id="LC308" class="line" lang="xml"> For example:</span>
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309
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<pre style="margin: 0;">+<span id="LC309" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC310" class="line" lang="xml"></span>
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311
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<pre style="margin: 0;">+<span id="LC311" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span></span>
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312
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<pre style="margin: 0;">+<span id="LC312" class="line" lang="xml">SELECT city.name, state.name, city.geom</span>
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313
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<pre style="margin: 0;">+<span id="LC313" class="line" lang="xml">FROM city JOIN state ON ST_Intersects(city.geom, state.geom);</span>
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314
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<pre style="margin: 0;">+<span id="LC314" class="line" lang="xml"><span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC316" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For more details and illustrations, see the</span>
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<pre style="margin: 0;">+<span id="LC317" class="line" lang="xml"> <span class="nt" style="color: #000080;"><ulink</span> <span class="na" style="color: #008080;">url=</span><span class="s" style="color: #d14;">"https://postgis.net/workshops/postgis-intro/spatial_relationships.html"</span><span class="nt" style="color: #000080;">></span>PostGIS Workshop.<span class="nt" style="color: #000080;"></ulink></para></span></span>
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<pre style="margin: 0;">+<span id="LC319" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">+<span id="LC321" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect3></span></span>
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<pre style="margin: 0;">+<span id="LC322" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>General Spatial Relationships<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC324" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>In some cases the named spatial relationships</span>
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<pre style="margin: 0;">+<span id="LC325" class="line" lang="xml"> are insufficient to provide a desired spatial filter condition.</span>
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<pre style="margin: 0;">+<span id="LC326" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC328" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC329" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"1"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC330" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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<pre style="margin: 0;">+<span id="LC331" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">+<span id="LC332" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para><informalfigure</span> <span class="na" style="color: #008080;">float=</span><span class="s" style="color: #d14;">"1"</span> <span class="na" style="color: #008080;">floatstyle=</span><span class="s" style="color: #d14;">"left"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC333" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"left"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im01.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC334" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para><para></span>For example, consider a linear</span>
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<pre style="margin: 0;">+<span id="LC335" class="line" lang="xml"> dataset representing a road network. It may be required</span>
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<pre style="margin: 0;">+<span id="LC336" class="line" lang="xml"> to identify all road segments that cross</span>
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<pre style="margin: 0;">+<span id="LC337" class="line" lang="xml"> each other, not at a point, but in a line (perhaps to validate some business rule).</span>
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<pre style="margin: 0;">+<span id="LC338" class="line" lang="xml"> In this case <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Crosses"</span> <span class="nt" style="color: #000080;">/></span> does not</span>
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<pre style="margin: 0;">+<span id="LC339" class="line" lang="xml"> provide the necessary spatial filter, since for</span>
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<pre style="margin: 0;">+<span id="LC340" class="line" lang="xml"> linear features it returns <span class="nt" style="color: #000080;"><varname></span>true<span class="nt" style="color: #000080;"></varname></span> only where they cross at a point.</span>
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<pre style="margin: 0;">+<span id="LC341" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC342" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>A two-step solution</span>
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<pre style="margin: 0;">+<span id="LC343" class="line" lang="xml"> would be to first compute the actual intersection</span>
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<pre style="margin: 0;">+<span id="LC344" class="line" lang="xml"> (<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>) of pairs of road lines that spatially</span>
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<pre style="margin: 0;">+<span id="LC345" class="line" lang="xml"> intersect (<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersects"</span> <span class="nt" style="color: #000080;">/></span>), and then check if the intersection's</span>
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<pre style="margin: 0;">+<span id="LC346" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_GeometryType"</span> <span class="nt" style="color: #000080;">/></span> is '<span class="nt" style="color: #000080;"><varname></span>LINESTRING<span class="nt" style="color: #000080;"></varname></span>' (properly</span>
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<pre style="margin: 0;">+<span id="LC347" class="line" lang="xml"> dealing with cases that return</span>
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<pre style="margin: 0;">+<span id="LC348" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>GEOMETRYCOLLECTION<span class="nt" style="color: #000080;"></varname></span>s of</span>
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<pre style="margin: 0;">+<span id="LC349" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>[MULTI]POINT<span class="nt" style="color: #000080;"></varname></span>s,</span>
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<pre style="margin: 0;">+<span id="LC350" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>[MULTI]LINESTRING<span class="nt" style="color: #000080;"></varname></span>s, etc.).<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC351" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Clearly, a simpler and faster solution is desirable.<span class="nt" style="color: #000080;"></para></entry></span></span>
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<pre style="margin: 0;">+<span id="LC352" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">+<span id="LC353" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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<pre style="margin: 0;">+<span id="LC354" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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<pre style="margin: 0;">+<span id="LC355" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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<pre style="margin: 0;">+<span id="LC356" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC357" class="line" lang="xml"> <span class="nt" style="color: #000080;"><informaltable</span> <span class="na" style="color: #008080;">frame=</span><span class="s" style="color: #d14;">"none"</span> <span class="na" style="color: #008080;">border=</span><span class="s" style="color: #d14;">"0"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC358" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tgroup</span> <span class="na" style="color: #008080;">cols=</span><span class="s" style="color: #d14;">"1"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC359" class="line" lang="xml"> <span class="nt" style="color: #000080;"><tbody></span></span>
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<pre style="margin: 0;">+<span id="LC360" class="line" lang="xml"> <span class="nt" style="color: #000080;"><row></span></span>
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<pre style="margin: 0;">+<span id="LC361" class="line" lang="xml"> <span class="nt" style="color: #000080;"><entry><para></span> <span class="nt" style="color: #000080;"><informalfigure</span> <span class="na" style="color: #008080;">float=</span><span class="s" style="color: #d14;">"1"</span> <span class="na" style="color: #008080;">floatstyle=</span><span class="s" style="color: #d14;">"right"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC362" class="line" lang="xml"> <span class="nt" style="color: #000080;"><graphic</span> <span class="na" style="color: #008080;">align=</span><span class="s" style="color: #d14;">"right"</span> <span class="na" style="color: #008080;">fileref=</span><span class="s" style="color: #d14;">"images/de9im02.png"</span> <span class="nt" style="color: #000080;">/></span></span>
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363
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<pre style="margin: 0;">+<span id="LC363" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informalfigure></para></span> <span class="nt" style="color: #000080;"><para></span>A second</span>
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364
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<pre style="margin: 0;">+<span id="LC364" class="line" lang="xml"> example is locating</span>
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365
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<pre style="margin: 0;">+<span id="LC365" class="line" lang="xml"> wharves that intersect a lake's boundary on a line and</span>
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366
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<pre style="margin: 0;">+<span id="LC366" class="line" lang="xml"> where one end of the wharf is up on shore. In other</span>
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367
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<pre style="margin: 0;">+<span id="LC367" class="line" lang="xml"> words, where a wharf is within but not completely contained by a</span>
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368
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<pre style="margin: 0;">+<span id="LC368" class="line" lang="xml"> lake, intersects the boundary of a lake on a line, and where</span>
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369
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<pre style="margin: 0;">+<span id="LC369" class="line" lang="xml"> exactly one of the wharf's endpoints is within or on the</span>
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370
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<pre style="margin: 0;">+<span id="LC370" class="line" lang="xml"> boundary of the lake. It is possible to use a</span>
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371
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<pre style="margin: 0;">+<span id="LC371" class="line" lang="xml"> combination of spatial predicates to find the required</span>
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372
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<pre style="margin: 0;">+<span id="LC372" class="line" lang="xml"> features:<span class="nt" style="color: #000080;"></para></span> <span class="nt" style="color: #000080;"><itemizedlist></span></span>
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373
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<pre style="margin: 0;">+<span id="LC373" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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374
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<pre style="margin: 0;">+<span id="LC374" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Contains"</span> <span class="nt" style="color: #000080;">/></span>(lake, wharf) = TRUE<span class="nt" style="color: #000080;"></para></span></span>
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375
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<pre style="margin: 0;">+<span id="LC375" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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376
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<pre style="margin: 0;">+<span id="LC376" class="line" lang="xml"></span>
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377
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<pre style="margin: 0;">+<span id="LC377" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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378
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<pre style="margin: 0;">+<span id="LC378" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_ContainsProperly"</span> <span class="nt" style="color: #000080;">/></span>(lake, wharf) = FALSE<span class="nt" style="color: #000080;"></para></span></span>
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379
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<pre style="margin: 0;">+<span id="LC379" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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380
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<pre style="margin: 0;">+<span id="LC380" class="line" lang="xml"></span>
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381
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<pre style="margin: 0;">+<span id="LC381" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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382
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<pre style="margin: 0;">+<span id="LC382" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_GeometryType"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>(wharf, lake)) =</span>
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383
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<pre style="margin: 0;">+<span id="LC383" class="line" lang="xml"> 'LINESTRING'<span class="nt" style="color: #000080;"></para></span></span>
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384
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<pre style="margin: 0;">+<span id="LC384" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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385
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386
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<pre style="margin: 0;">+<span id="LC386" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC387" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_NumGeometries"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Multi"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Intersection"</span> <span class="nt" style="color: #000080;">/></span>(<span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Boundary"</span> <span class="nt" style="color: #000080;">/></span>(wharf),</span>
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388
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<pre style="margin: 0;">+<span id="LC388" class="line" lang="xml"> <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Boundary"</span> <span class="nt" style="color: #000080;">/></span>(lake)))) = 1<span class="nt" style="color: #000080;"></para></span></span>
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389
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<pre style="margin: 0;">+<span id="LC389" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC390" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>... but needless to say, this is quite complicated.<span class="nt" style="color: #000080;"></para></span></span>
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391
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<pre style="margin: 0;">+<span id="LC391" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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392
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<pre style="margin: 0;">+<span id="LC392" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></entry></span></span>
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<pre style="margin: 0;">+<span id="LC393" class="line" lang="xml"> <span class="nt" style="color: #000080;"></row></span></span>
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<pre style="margin: 0;">+<span id="LC394" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tbody></span></span>
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395
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<pre style="margin: 0;">+<span id="LC395" class="line" lang="xml"> <span class="nt" style="color: #000080;"></tgroup></span></span>
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396
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<pre style="margin: 0;">+<span id="LC396" class="line" lang="xml"> <span class="nt" style="color: #000080;"></informaltable></span></span>
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397
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<pre style="margin: 0;">+<span id="LC397" class="line" lang="xml"></span>
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398
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<pre style="margin: 0;">+<span id="LC398" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>These requirements can be met by computing the full DE-9IM intersection matrix.</span>
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399
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<pre style="margin: 0;">+<span id="LC399" class="line" lang="xml"> PostGIS provides the <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></span> function</span>
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400
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<pre style="margin: 0;">+<span id="LC400" class="line" lang="xml"> to do this:</span>
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401
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<pre style="margin: 0;">+<span id="LC401" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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402
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<pre style="margin: 0;">+<span id="LC402" class="line" lang="xml"></span>
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403
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<pre style="margin: 0;">+<span id="LC403" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span></span>
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404
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<pre style="margin: 0;">+<span id="LC404" class="line" lang="xml">SELECT ST_Relate( 'LINESTRING (1 1, 5 5)',</span>
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405
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<pre style="margin: 0;">+<span id="LC405" class="line" lang="xml"> 'POLYGON ((3 3, 3 7, 7 7, 7 3, 3 3))' );</span>
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406
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<pre style="margin: 0;">+<span id="LC406" class="line" lang="xml">st_relate</span>
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407
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<pre style="margin: 0;">+<span id="LC407" class="line" lang="xml">-----------</span>
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408
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<pre style="margin: 0;">+<span id="LC408" class="line" lang="xml">1010F0212</span>
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409
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<pre style="margin: 0;">+<span id="LC409" class="line" lang="xml"><span class="nt" style="color: #000080;"></programlisting></span></span>
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410
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<pre style="margin: 0;">+<span id="LC410" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC411" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>To test a particular spatial relationship,</span>
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<pre style="margin: 0;">+<span id="LC412" class="line" lang="xml"> an <span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>intersection matrix pattern<span class="nt" style="color: #000080;"></emphasis></span> is used.</span>
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<pre style="margin: 0;">+<span id="LC413" class="line" lang="xml"> This is the matrix representation augmented with the additional symbols</span>
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<pre style="margin: 0;">+<span id="LC414" class="line" lang="xml"> <span class="nt" style="color: #000080;"><literal></span>{T,*}<span class="nt" style="color: #000080;"></literal></span>:</span>
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<pre style="margin: 0;">+<span id="LC415" class="line" lang="xml"> <span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC416" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC417" class="line" lang="xml"> <span class="nt" style="color: #000080;"><itemizedlist</span> <span class="na" style="color: #008080;">spacing=</span><span class="s" style="color: #d14;">"compact"</span><span class="nt" style="color: #000080;">></span></span>
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<pre style="margin: 0;">+<span id="LC418" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC419" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>T<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span></span>
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<pre style="margin: 0;">+<span id="LC420" class="line" lang="xml"> intersection dimension is non-empty; i.e. is in <span class="nt" style="color: #000080;"><literal></span>{0,1,2}<span class="nt" style="color: #000080;"></literal></para></span></span>
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<pre style="margin: 0;">+<span id="LC421" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC423" class="line" lang="xml"> <span class="nt" style="color: #000080;"><listitem></span></span>
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<pre style="margin: 0;">+<span id="LC424" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para><literal></span>*<span class="nt" style="color: #000080;"></literal></span> =<span class="ni" style="color: #800080;">></span> don't care<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC425" class="line" lang="xml"> <span class="nt" style="color: #000080;"></listitem></span></span>
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<pre style="margin: 0;">+<span id="LC426" class="line" lang="xml"> <span class="nt" style="color: #000080;"></itemizedlist></span></span>
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<pre style="margin: 0;">+<span id="LC428" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Using intersection matrix patterns,</span>
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<pre style="margin: 0;">+<span id="LC429" class="line" lang="xml"> specific spatial relationships can be evaluated in a more succinct way.</span>
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<pre style="margin: 0;">+<span id="LC430" class="line" lang="xml"> The <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_Relate"</span> <span class="nt" style="color: #000080;">/></span> and the <span class="nt" style="color: #000080;"><xref</span> <span class="na" style="color: #008080;">linkend=</span><span class="s" style="color: #d14;">"ST_RelateMatch"</span> <span class="nt" style="color: #000080;">/></span></span>
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<pre style="margin: 0;">+<span id="LC431" class="line" lang="xml"> functions can be used to test intersection matrix patterns.</span>
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<pre style="margin: 0;">+<span id="LC432" class="line" lang="xml"> For the first example above, the intersection matrix pattern specifying</span>
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<pre style="margin: 0;">+<span id="LC433" class="line" lang="xml"> two lines intersecting in a line is</span>
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<pre style="margin: 0;">+<span id="LC434" class="line" lang="xml"> '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>1*1***1**<span class="nt" style="color: #000080;"></emphasis></span>':<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC435" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC436" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>-- Find road segments that intersect in a line</span>
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<pre style="margin: 0;">+<span id="LC437" class="line" lang="xml">SELECT a.id</span>
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<pre style="margin: 0;">+<span id="LC438" class="line" lang="xml">FROM roads a, roads b</span>
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<pre style="margin: 0;">+<span id="LC439" class="line" lang="xml">WHERE a.id != b.id</span>
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<pre style="margin: 0;">+<span id="LC440" class="line" lang="xml"> AND a.geom <span class="ni" style="color: #800080;">&&</span> b.geom</span>
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<pre style="margin: 0;">+<span id="LC441" class="line" lang="xml"> AND ST_Relate(a.geom, b.geom, '1*1***1**');<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC442" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC443" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>For the second example, the intersection matrix pattern</span>
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<pre style="margin: 0;">+<span id="LC444" class="line" lang="xml"> specifying a line partly inside and partly outside a polygon is</span>
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<pre style="margin: 0;">+<span id="LC445" class="line" lang="xml"> '<span class="nt" style="color: #000080;"><emphasis</span> <span class="na" style="color: #008080;">role=</span><span class="s" style="color: #d14;">"bold"</span><span class="nt" style="color: #000080;">></span>102101FF2<span class="nt" style="color: #000080;"></emphasis></span>':<span class="nt" style="color: #000080;"></para></span></span>
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446
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<pre style="margin: 0;">+<span id="LC446" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC447" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>-- Find wharves partly on a lake's shoreline</span>
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<pre style="margin: 0;">+<span id="LC448" class="line" lang="xml">SELECT a.lake_id, b.wharf_id</span>
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<pre style="margin: 0;">+<span id="LC449" class="line" lang="xml">FROM lakes a, wharfs b</span>
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<pre style="margin: 0;">+<span id="LC450" class="line" lang="xml">WHERE a.geom <span class="ni" style="color: #800080;">&&</span> b.geom</span>
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<pre style="margin: 0;">+<span id="LC451" class="line" lang="xml"> AND ST_Relate(a.geom, b.geom, '102101FF2');<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC452" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC453" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect3></span></span>
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<pre style="margin: 0;">+<span id="LC454" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;">+<span id="LC456" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2></span></span>
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<pre style="margin: 0;">+<span id="LC457" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Taking Advantage of Indexes<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC458" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC459" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>When constructing a query it is important to remember that only</span>
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<pre style="margin: 0;">+<span id="LC460" class="line" lang="xml"> the bounding-box-based operators such as <span class="ni" style="color: #800080;">&&</span> can take advantage</span>
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<pre style="margin: 0;">+<span id="LC461" class="line" lang="xml"> of the GiST spatial index. Functions such as</span>
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462
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<pre style="margin: 0;">+<span id="LC462" class="line" lang="xml"> <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span> cannot use the index to optimize their</span>
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<pre style="margin: 0;">+<span id="LC463" class="line" lang="xml"> operation. For example, the following query would be quite slow on a</span>
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<pre style="margin: 0;">+<span id="LC464" class="line" lang="xml"> large table:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC465" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC466" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT the_geom</span>
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<pre style="margin: 0;">+<span id="LC467" class="line" lang="xml">FROM geom_table</span>
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<pre style="margin: 0;">+<span id="LC468" class="line" lang="xml">WHERE ST_Distance(the_geom, 'SRID=312;POINT(100000 200000)') <span class="ni" style="color: #800080;"><</span> 100<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC469" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC470" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query is selecting all the geometries in geom_table which are</span>
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<pre style="margin: 0;">+<span id="LC471" class="line" lang="xml"> within 100 units of the point (100000, 200000). It will be slow because</span>
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<pre style="margin: 0;">+<span id="LC472" class="line" lang="xml"> it is calculating the distance between each point in the table and our</span>
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<pre style="margin: 0;">+<span id="LC473" class="line" lang="xml"> specified point, ie. one <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span> calculation</span>
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<pre style="margin: 0;">+<span id="LC474" class="line" lang="xml"> for each row in the table. We can avoid this by using the single step</span>
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<pre style="margin: 0;">+<span id="LC475" class="line" lang="xml"> index accelerated function ST_DWithin to reduce the number of distance</span>
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<pre style="margin: 0;">+<span id="LC476" class="line" lang="xml"> calculations required:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC477" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC478" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT the_geom</span>
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<pre style="margin: 0;">+<span id="LC479" class="line" lang="xml">FROM geom_table</span>
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<pre style="margin: 0;">+<span id="LC480" class="line" lang="xml">WHERE ST_DWithin(the_geom, 'SRID=312;POINT(100000 200000)', 100)</span>
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481
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<pre style="margin: 0;">+<span id="LC481" class="line" lang="xml"><span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC482" class="line" lang="xml"></span>
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483
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<pre style="margin: 0;">+<span id="LC483" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query selects the same geometries, but it does it in a more</span>
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<pre style="margin: 0;">+<span id="LC484" class="line" lang="xml"> efficient way. Assuming there is a GiST index on the_geom, the query</span>
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485
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<pre style="margin: 0;">+<span id="LC485" class="line" lang="xml"> planner will recognize that it can use the index to reduce the number of</span>
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486
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<pre style="margin: 0;">+<span id="LC486" class="line" lang="xml"> rows before calculating the result of the <span class="nt" style="color: #000080;"><varname></span>ST_Distance()<span class="nt" style="color: #000080;"></varname></span></span>
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487
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<pre style="margin: 0;">+<span id="LC487" class="line" lang="xml"> function. Notice that the <span class="nt" style="color: #000080;"><varname></span>ST_MakeEnvelope<span class="nt" style="color: #000080;"></varname></span> geometry which is</span>
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488
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<pre style="margin: 0;">+<span id="LC488" class="line" lang="xml"> used in the <span class="ni" style="color: #800080;">&&</span> operation is a 200 unit square box centered on</span>
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489
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<pre style="margin: 0;">+<span id="LC489" class="line" lang="xml"> the original point - this is our "query box". The <span class="ni" style="color: #800080;">&&</span> operator</span>
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<pre style="margin: 0;">+<span id="LC490" class="line" lang="xml"> uses the index to quickly reduce the result set down to only those</span>
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491
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<pre style="margin: 0;">+<span id="LC491" class="line" lang="xml"> geometries which have bounding boxes that overlap the "query box".</span>
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<pre style="margin: 0;">+<span id="LC492" class="line" lang="xml"> Assuming that our query box is much smaller than the extents of the</span>
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<pre style="margin: 0;">+<span id="LC493" class="line" lang="xml"> entire geometry table, this will drastically reduce the number of</span>
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<pre style="margin: 0;">+<span id="LC494" class="line" lang="xml"> distance calculations that need to be done.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC495" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;">+<span id="LC496" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC497" class="line" lang="xml"> <span class="nt" style="color: #000080;"><sect2</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"examples_spatial_sql"</span><span class="nt" style="color: #000080;">></span></span>
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498
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<pre style="margin: 0;">+<span id="LC498" class="line" lang="xml"> <span class="nt" style="color: #000080;"><title></span>Examples of Spatial SQL<span class="nt" style="color: #000080;"></title></span></span>
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<pre style="margin: 0;">+<span id="LC499" class="line" lang="xml"></span>
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500
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<pre style="margin: 0;">+<span id="LC500" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The examples in this section will make use of two tables, a table</span>
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501
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<pre style="margin: 0;">+<span id="LC501" class="line" lang="xml"> of linear roads, and a table of polygonal municipality boundaries. The</span>
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502
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<pre style="margin: 0;">+<span id="LC502" class="line" lang="xml"> table definitions for the <span class="nt" style="color: #000080;"><varname></span>bc_roads<span class="nt" style="color: #000080;"></varname></span> table is:<span class="nt" style="color: #000080;"></para></span></span>
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503
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<pre style="margin: 0;">+<span id="LC503" class="line" lang="xml"></span>
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504
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<pre style="margin: 0;">+<span id="LC504" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>Column | Type | Description</span>
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505
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<pre style="margin: 0;">+<span id="LC505" class="line" lang="xml">------------+-------------------+-------------------</span>
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506
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<pre style="margin: 0;">+<span id="LC506" class="line" lang="xml">gid | integer | Unique ID</span>
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507
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<pre style="margin: 0;">+<span id="LC507" class="line" lang="xml">name | character varying | Road Name</span>
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508
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<pre style="margin: 0;">+<span id="LC508" class="line" lang="xml">the_geom | geometry | Location Geometry (Linestring)<span class="nt" style="color: #000080;"></programlisting></span></span>
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509
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<pre style="margin: 0;">+<span id="LC509" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC510" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>The table definition for the <span class="nt" style="color: #000080;"><varname></span>bc_municipality<span class="nt" style="color: #000080;"></varname></span></span>
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511
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<pre style="margin: 0;">+<span id="LC511" class="line" lang="xml"> table is:<span class="nt" style="color: #000080;"></para></span></span>
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512
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<pre style="margin: 0;">+<span id="LC512" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC513" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>Column | Type | Description</span>
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514
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<pre style="margin: 0;">+<span id="LC514" class="line" lang="xml">-----------+-------------------+-------------------</span>
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515
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<pre style="margin: 0;">+<span id="LC515" class="line" lang="xml">gid | integer | Unique ID</span>
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516
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<pre style="margin: 0;">+<span id="LC516" class="line" lang="xml">code | integer | Unique ID</span>
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517
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<pre style="margin: 0;">+<span id="LC517" class="line" lang="xml">name | character varying | City / Town Name</span>
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<pre style="margin: 0;">+<span id="LC518" class="line" lang="xml">the_geom | geometry | Location Geometry (Polygon)<span class="nt" style="color: #000080;"></programlisting></span></span>
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519
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<pre style="margin: 0;">+<span id="LC519" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC520" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaset></span></span>
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<pre style="margin: 0;">+<span id="LC521" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry</span> <span class="na" style="color: #008080;">id=</span><span class="s" style="color: #d14;">"qa_total_length_roads"</span><span class="nt" style="color: #000080;">></span></span>
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522
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<pre style="margin: 0;">+<span id="LC522" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">+<span id="LC523" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the total length of all roads, expressed in</span>
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<pre style="margin: 0;">+<span id="LC524" class="line" lang="xml"> kilometers?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC525" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">+<span id="LC526" class="line" lang="xml"></span>
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527
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<pre style="margin: 0;">+<span id="LC527" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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528
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<pre style="margin: 0;">+<span id="LC528" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>You can answer this question with a very simple piece of</span>
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529
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<pre style="margin: 0;">+<span id="LC529" class="line" lang="xml"> SQL:<span class="nt" style="color: #000080;"></para></span></span>
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530
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<pre style="margin: 0;">+<span id="LC530" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC531" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT sum(ST_Length(the_geom))/1000 AS km_roads FROM bc_roads;</span>
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532
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<pre style="margin: 0;">+<span id="LC532" class="line" lang="xml"></span>
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533
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<pre style="margin: 0;">+<span id="LC533" class="line" lang="xml">km_roads</span>
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534
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<pre style="margin: 0;">+<span id="LC534" class="line" lang="xml">------------------</span>
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<pre style="margin: 0;">+<span id="LC535" class="line" lang="xml">70842.1243039643</span>
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<pre style="margin: 0;">+<span id="LC541" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">+<span id="LC542" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>How large is the city of Prince George, in hectares?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC543" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">+<span id="LC545" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">+<span id="LC546" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query combines an attribute condition (on the</span>
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<pre style="margin: 0;">+<span id="LC547" class="line" lang="xml"> municipality name) with a spatial calculation (of the</span>
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<pre style="margin: 0;">+<span id="LC548" class="line" lang="xml"> area):<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC549" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC550" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">+<span id="LC551" class="line" lang="xml"> ST_Area(the_geom)/10000 AS hectares</span>
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552
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<pre style="margin: 0;">+<span id="LC552" class="line" lang="xml">FROM bc_municipality</span>
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<pre style="margin: 0;">+<span id="LC553" class="line" lang="xml">WHERE name = 'PRINCE GEORGE';</span>
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<pre style="margin: 0;">+<span id="LC554" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC555" class="line" lang="xml">hectares</span>
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<pre style="margin: 0;">+<span id="LC556" class="line" lang="xml">------------------</span>
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<pre style="margin: 0;">+<span id="LC557" class="line" lang="xml">32657.9103824927</span>
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<pre style="margin: 0;">+<span id="LC558" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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559
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<pre style="margin: 0;">+<span id="LC559" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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<pre style="margin: 0;">+<span id="LC560" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC562" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC563" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">+<span id="LC564" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the largest municipality in the province, by</span>
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565
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<pre style="margin: 0;">+<span id="LC565" class="line" lang="xml"> area?<span class="nt" style="color: #000080;"></para></span></span>
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566
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<pre style="margin: 0;">+<span id="LC566" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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567
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<pre style="margin: 0;">+<span id="LC567" class="line" lang="xml"></span>
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568
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<pre style="margin: 0;">+<span id="LC568" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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569
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<pre style="margin: 0;">+<span id="LC569" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query brings a spatial measurement into the query</span>
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570
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<pre style="margin: 0;">+<span id="LC570" class="line" lang="xml"> condition. There are several ways of approaching this problem, but</span>
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571
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<pre style="margin: 0;">+<span id="LC571" class="line" lang="xml"> the most efficient is below:<span class="nt" style="color: #000080;"></para></span></span>
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572
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<pre style="margin: 0;">+<span id="LC572" class="line" lang="xml"></span>
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573
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<pre style="margin: 0;">+<span id="LC573" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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574
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<pre style="margin: 0;">+<span id="LC574" class="line" lang="xml"> name,</span>
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575
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<pre style="margin: 0;">+<span id="LC575" class="line" lang="xml"> ST_Area(the_geom)/10000 AS hectares</span>
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576
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<pre style="margin: 0;">+<span id="LC576" class="line" lang="xml">FROM</span>
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577
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<pre style="margin: 0;">+<span id="LC577" class="line" lang="xml"> bc_municipality</span>
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578
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<pre style="margin: 0;">+<span id="LC578" class="line" lang="xml">ORDER BY hectares DESC</span>
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579
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<pre style="margin: 0;">+<span id="LC579" class="line" lang="xml">LIMIT 1;</span>
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580
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<pre style="margin: 0;">+<span id="LC580" class="line" lang="xml"></span>
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581
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<pre style="margin: 0;">+<span id="LC581" class="line" lang="xml">name | hectares</span>
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582
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<pre style="margin: 0;">+<span id="LC582" class="line" lang="xml">---------------+-----------------</span>
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583
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<pre style="margin: 0;">+<span id="LC583" class="line" lang="xml">TUMBLER RIDGE | 155020.02556131</span>
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584
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<pre style="margin: 0;">+<span id="LC584" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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585
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<pre style="margin: 0;">+<span id="LC585" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC586" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Note that in order to answer this query we have to calculate</span>
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<pre style="margin: 0;">+<span id="LC587" class="line" lang="xml"> the area of every polygon. If we were doing this a lot it would</span>
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<pre style="margin: 0;">+<span id="LC588" class="line" lang="xml"> make sense to add an area column to the table that we could</span>
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<pre style="margin: 0;">+<span id="LC589" class="line" lang="xml"> separately index for performance. By ordering the results in a</span>
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<pre style="margin: 0;">+<span id="LC590" class="line" lang="xml"> descending direction, and them using the PostgreSQL "LIMIT"</span>
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<pre style="margin: 0;">+<span id="LC591" class="line" lang="xml"> command we can easily pick off the largest value without using an</span>
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<pre style="margin: 0;">+<span id="LC592" class="line" lang="xml"> aggregate function like max().<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC593" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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<pre style="margin: 0;">+<span id="LC594" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC595" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC596" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC597" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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598
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<pre style="margin: 0;">+<span id="LC598" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the length of roads fully contained within each</span>
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<pre style="margin: 0;">+<span id="LC599" class="line" lang="xml"> municipality?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC600" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">+<span id="LC601" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC602" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">+<span id="LC603" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This is an example of a "spatial join", because we are</span>
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<pre style="margin: 0;">+<span id="LC604" class="line" lang="xml"> bringing together data from two tables (doing a join) but using a</span>
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<pre style="margin: 0;">+<span id="LC605" class="line" lang="xml"> spatial interaction condition ("contained") as the join condition</span>
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<pre style="margin: 0;">+<span id="LC606" class="line" lang="xml"> rather than the usual relational approach of joining on a common</span>
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<pre style="margin: 0;">+<span id="LC607" class="line" lang="xml"> key:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC608" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC609" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">+<span id="LC610" class="line" lang="xml"> m.name,</span>
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<pre style="margin: 0;">+<span id="LC611" class="line" lang="xml"> sum(ST_Length(r.the_geom))/1000 as roads_km</span>
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612
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<pre style="margin: 0;">+<span id="LC612" class="line" lang="xml">FROM</span>
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613
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<pre style="margin: 0;">+<span id="LC613" class="line" lang="xml"> bc_roads AS r,</span>
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614
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<pre style="margin: 0;">+<span id="LC614" class="line" lang="xml"> bc_municipality AS m</span>
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615
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<pre style="margin: 0;">+<span id="LC615" class="line" lang="xml">WHERE</span>
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616
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<pre style="margin: 0;">+<span id="LC616" class="line" lang="xml"> ST_Contains(m.the_geom, r.the_geom)</span>
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617
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<pre style="margin: 0;">+<span id="LC617" class="line" lang="xml">GROUP BY m.name</span>
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618
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<pre style="margin: 0;">+<span id="LC618" class="line" lang="xml">ORDER BY roads_km;</span>
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619
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<pre style="margin: 0;">+<span id="LC619" class="line" lang="xml"></span>
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620
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<pre style="margin: 0;">+<span id="LC620" class="line" lang="xml">name | roads_km</span>
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621
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<pre style="margin: 0;">+<span id="LC621" class="line" lang="xml">----------------------------+------------------</span>
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622
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<pre style="margin: 0;">+<span id="LC622" class="line" lang="xml">SURREY | 1539.47553551242</span>
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623
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<pre style="margin: 0;">+<span id="LC623" class="line" lang="xml">VANCOUVER | 1450.33093486576</span>
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624
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<pre style="margin: 0;">+<span id="LC624" class="line" lang="xml">LANGLEY DISTRICT | 833.793392535662</span>
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625
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<pre style="margin: 0;">+<span id="LC625" class="line" lang="xml">BURNABY | 773.769091404338</span>
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626
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<pre style="margin: 0;">+<span id="LC626" class="line" lang="xml">PRINCE GEORGE | 694.37554369147</span>
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627
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<pre style="margin: 0;">+<span id="LC627" class="line" lang="xml">...<span class="nt" style="color: #000080;"></programlisting></span></span>
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628
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<pre style="margin: 0;">+<span id="LC628" class="line" lang="xml"></span>
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629
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<pre style="margin: 0;">+<span id="LC629" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This query takes a while, because every road in the table is</span>
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630
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<pre style="margin: 0;">+<span id="LC630" class="line" lang="xml"> summarized into the final result (about 250K roads for our</span>
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631
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<pre style="margin: 0;">+<span id="LC631" class="line" lang="xml"> particular example table). For smaller overlays (several thousand</span>
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632
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<pre style="margin: 0;">+<span id="LC632" class="line" lang="xml"> records on several hundred) the response can be very fast.<span class="nt" style="color: #000080;"></para></span></span>
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633
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<pre style="margin: 0;">+<span id="LC633" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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634
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<pre style="margin: 0;">+<span id="LC634" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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635
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<pre style="margin: 0;">+<span id="LC635" class="line" lang="xml"></span>
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636
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<pre style="margin: 0;">+<span id="LC636" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC637" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">+<span id="LC638" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>Create a new table with all the roads within the city of</span>
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<pre style="margin: 0;">+<span id="LC639" class="line" lang="xml"> Prince George.<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC640" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">+<span id="LC641" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC642" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">+<span id="LC643" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>This is an example of an "overlay", which takes in two</span>
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<pre style="margin: 0;">+<span id="LC644" class="line" lang="xml"> tables and outputs a new table that consists of spatially clipped</span>
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<pre style="margin: 0;">+<span id="LC645" class="line" lang="xml"> or cut resultants. Unlike the "spatial join" demonstrated above,</span>
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<pre style="margin: 0;">+<span id="LC646" class="line" lang="xml"> this query actually creates new geometries. An overlay is like a</span>
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<pre style="margin: 0;">+<span id="LC647" class="line" lang="xml"> turbo-charged spatial join, and is useful for more exact analysis</span>
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<pre style="margin: 0;">+<span id="LC648" class="line" lang="xml"> work:<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC649" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC650" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>CREATE TABLE pg_roads as</span>
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<pre style="margin: 0;">+<span id="LC651" class="line" lang="xml">SELECT</span>
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<pre style="margin: 0;">+<span id="LC652" class="line" lang="xml"> ST_Intersection(r.the_geom, m.the_geom) AS intersection_geom,</span>
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653
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<pre style="margin: 0;">+<span id="LC653" class="line" lang="xml"> ST_Length(r.the_geom) AS rd_orig_length,</span>
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<pre style="margin: 0;">+<span id="LC654" class="line" lang="xml"> r.*</span>
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655
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<pre style="margin: 0;">+<span id="LC655" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">+<span id="LC656" class="line" lang="xml"> bc_roads AS r,</span>
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657
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<pre style="margin: 0;">+<span id="LC657" class="line" lang="xml"> bc_municipality AS m</span>
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<pre style="margin: 0;">+<span id="LC658" class="line" lang="xml">WHERE</span>
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<pre style="margin: 0;">+<span id="LC659" class="line" lang="xml"> m.name = 'PRINCE GEORGE'</span>
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660
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<pre style="margin: 0;">+<span id="LC660" class="line" lang="xml"> AND ST_Intersects(r.the_geom, m.the_geom);<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC661" class="line" lang="xml"> <span class="nt" style="color: #000080;"></answer></span></span>
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<pre style="margin: 0;">+<span id="LC666" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the length in kilometers of "Douglas St" in</span>
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<pre style="margin: 0;">+<span id="LC667" class="line" lang="xml"> Victoria?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC670" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">+<span id="LC671" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT</span>
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<pre style="margin: 0;">+<span id="LC672" class="line" lang="xml"> sum(ST_Length(r.the_geom))/1000 AS kilometers</span>
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<pre style="margin: 0;">+<span id="LC673" class="line" lang="xml">FROM</span>
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<pre style="margin: 0;">+<span id="LC674" class="line" lang="xml"> bc_roads r,</span>
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<pre style="margin: 0;">+<span id="LC675" class="line" lang="xml"> bc_municipality m</span>
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<pre style="margin: 0;">+<span id="LC676" class="line" lang="xml">WHERE</span>
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<pre style="margin: 0;">+<span id="LC677" class="line" lang="xml"> r.name = 'Douglas St'</span>
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<pre style="margin: 0;">+<span id="LC678" class="line" lang="xml"> AND m.name = 'VICTORIA'</span>
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<pre style="margin: 0;">+<span id="LC679" class="line" lang="xml"> AND ST_Intersects(m.the_geom, r.the_geom);</span>
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<pre style="margin: 0;">+<span id="LC680" class="line" lang="xml"></span>
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681
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<pre style="margin: 0;">+<span id="LC681" class="line" lang="xml">kilometers</span>
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<pre style="margin: 0;">+<span id="LC682" class="line" lang="xml">------------------</span>
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<pre style="margin: 0;">+<span id="LC683" class="line" lang="xml">4.89151904172838</span>
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<pre style="margin: 0;">+<span id="LC684" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC688" class="line" lang="xml"> <span class="nt" style="color: #000080;"><qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC689" class="line" lang="xml"> <span class="nt" style="color: #000080;"><question></span></span>
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<pre style="margin: 0;">+<span id="LC690" class="line" lang="xml"> <span class="nt" style="color: #000080;"><para></span>What is the largest municipality polygon that has a</span>
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<pre style="margin: 0;">+<span id="LC691" class="line" lang="xml"> hole?<span class="nt" style="color: #000080;"></para></span></span>
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<pre style="margin: 0;">+<span id="LC692" class="line" lang="xml"> <span class="nt" style="color: #000080;"></question></span></span>
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<pre style="margin: 0;">+<span id="LC694" class="line" lang="xml"> <span class="nt" style="color: #000080;"><answer></span></span>
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<pre style="margin: 0;">+<span id="LC695" class="line" lang="xml"> <span class="nt" style="color: #000080;"><programlisting></span>SELECT gid, name, ST_Area(the_geom) AS area</span>
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<pre style="margin: 0;">+<span id="LC696" class="line" lang="xml">FROM bc_municipality</span>
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<pre style="margin: 0;">+<span id="LC697" class="line" lang="xml">WHERE ST_NRings(the_geom) <span class="ni" style="color: #800080;">></span> 1</span>
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<pre style="margin: 0;">+<span id="LC698" class="line" lang="xml">ORDER BY area DESC LIMIT 1;</span>
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<pre style="margin: 0;">+<span id="LC699" class="line" lang="xml"></span>
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<pre style="margin: 0;">+<span id="LC700" class="line" lang="xml">gid | name | area</span>
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<pre style="margin: 0;">+<span id="LC701" class="line" lang="xml">-----+--------------+------------------</span>
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<pre style="margin: 0;">+<span id="LC702" class="line" lang="xml">12 | SPALLUMCHEEN | 257374619.430216</span>
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<pre style="margin: 0;">+<span id="LC703" class="line" lang="xml">(1 row)<span class="nt" style="color: #000080;"></programlisting></span></span>
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<pre style="margin: 0;">+<span id="LC705" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaentry></span></span>
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<pre style="margin: 0;">+<span id="LC706" class="line" lang="xml"> <span class="nt" style="color: #000080;"></qandaset></span></span>
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<pre style="margin: 0;">+<span id="LC708" class="line" lang="xml"> <span class="nt" style="color: #000080;"></sect2></span></span>
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<pre style="margin: 0;">+<span id="LC709" class="line" lang="xml"><span class="nt" style="color: #000080;"></sect1></span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#e2f4f3d301d8823b6c25716fa3c53adcc66fba02"><strong>extensions/address_standardizer/Makefile</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -30,7 +30,7 @@ POSTGIS_PGSQL_VERSION=96</td>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="make"><span class="c" style="color: #998; font-style: italic;"># SQL preprocessor</span></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="make"><span class="nv" style="color: #008080;">SQLPP</span> <span class="o" style="font-weight: 600;">=</span> /usr/bin/cpp <span class="nt" style="color: #000080;">-traditional-cpp</span> <span class="nt" style="color: #000080;">-w</span> <span class="nt" style="color: #000080;">-P</span></span>
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32
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="make"><span class="nv" style="color: #008080;">GREP</span><span class="o" style="font-weight: 600;">=</span>/bin/grep</span>
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<pre style="margin: 0;">-<span id="LC33" class="line" lang="make"><span class="nv" style="color: #008080;">EXTVERSION</span> <span class="o" style="font-weight: 600;">=</span> 3.1.0beta<span class="idiff left right">1</span></span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="make"><span class="nv" style="color: #008080;">EXTVERSION</span> <span class="o" style="font-weight: 600;">=</span> 3.1.0beta<span class="idiff left right">2</span></span>
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34
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="make"><span class="nv" style="color: #008080;">MODULE_big</span> <span class="o" style="font-weight: 600;">=</span> address_standardizer-3</span>
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35
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35
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="make"><span class="nv" style="color: #008080;">MODULEPATH</span> <span class="o" style="font-weight: 600;">=</span> <span class="nv" style="color: #008080;">$$</span>libdir/address_standardizer-3</span>
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36
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36
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="make"><span class="k" style="font-weight: 600;">ifeq</span> <span class="nv" style="color: #008080;">(no,yes)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="46" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="46" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -46,7 +46,7 @@ DATA_built = \</td>
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46
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="make"> <span class="nv" style="color: #008080;">$(NULL)</span></span>
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47
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="make"></span>
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48
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<pre style="margin: 0;"> <span id="LC48" class="line" lang="make"><span class="nl">all</span><span class="o" style="font-weight: 600;">:</span> <span class="nf" style="color: #900; font-weight: 600;">sql/address_standardizer.sql sql/address_standardizer--1.0--$(EXTVERSION).sql sql/$(EXTENSION)--$(EXTVERSION).sql sql/$(EXTENSION)--ANY--$(EXTVERSION).sql </span>\</span>
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49
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<pre style="margin: 0;">-<span id="LC49" class="line" lang="make"><span class="nf" style="color: #900; font-weight: 600;"> sql/$(EXTENSION)_data_us.sql sql/address_standardizer--3.1.0beta<span class="idiff left right">1.sql sql/$(EXTENSION)_data_us--3.1.0beta1</span>.sql sql/$(EXTENSION)_data_us--$(EXTVERSION)--$(EXTVERSION)next.sql </span>\</span>
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<pre style="margin: 0;">+<span id="LC49" class="line" lang="make"><span class="nf" style="color: #900; font-weight: 600;"> sql/$(EXTENSION)_data_us.sql sql/address_standardizer--3.1.0beta<span class="idiff left right">2.sql sql/$(EXTENSION)_data_us--3.1.0beta2</span>.sql sql/$(EXTENSION)_data_us--$(EXTVERSION)--$(EXTVERSION)next.sql </span>\</span>
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50
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="make"><span class="nf" style="color: #900; font-weight: 600;">sql/$(EXTENSION)_data_us--$(EXTVERSION)next--$(EXTVERSION).sql </span>\</span>
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51
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="make"><span class="nf" style="color: #900; font-weight: 600;">sql/test-init-extensions.sql sql/test-parseaddress.sql sql/test-standardize_address_1.sql sql/test-standardize_address_2.sql</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="make"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -74,7 +74,7 @@ sql/%.sql: %.sql.in</td>
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<pre style="margin: 0;"> <span id="LC74" class="line" lang="make"> | <span class="nb" style="color: #0086b3;">sed</span> <span class="nt" style="color: #000080;">-e</span> <span class="s1" style="color: #d14;">'s|@EXTVERSION@|</span><span class="nv" style="color: #008080;">$(EXTVERSION)</span><span class="s1" style="color: #d14;">|g'</span> <span class="se" style="color: #d14;">\</span></span>
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<pre style="margin: 0;"> <span id="LC75" class="line" lang="make"> <span class="o" style="font-weight: 600;">></span> <span class="nv" style="color: #008080;">$@</span></span>
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<pre style="margin: 0;"> <span id="LC76" class="line" lang="make"></span>
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<pre style="margin: 0;">-<span id="LC77" class="line" lang="make"><span class="nl">sql/address_standardizer--3.1.0beta<span class="idiff left right">1</span>.sql</span><span class="o" style="font-weight: 600;">:</span> <span class="nf" style="color: #900; font-weight: 600;">sql/address_standardizer_types.sql </span>\</span>
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="make"><span class="nl">sql/address_standardizer--3.1.0beta<span class="idiff left right">2</span>.sql</span><span class="o" style="font-weight: 600;">:</span> <span class="nf" style="color: #900; font-weight: 600;">sql/address_standardizer_types.sql </span>\</span>
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<pre style="margin: 0;"> <span id="LC78" class="line" lang="make"><span class="nf" style="color: #900; font-weight: 600;"> sql/address_standardizer_functions.sql</span></span>
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<pre style="margin: 0;"> <span id="LC79" class="line" lang="make"> <span class="nb" style="color: #0086b3;">mkdir</span> <span class="nt" style="color: #000080;">-p</span> sql</span>
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<pre style="margin: 0;"> <span id="LC80" class="line" lang="make"> <span class="nb" style="color: #0086b3;">cat</span> <span class="nv" style="color: #008080;">$^</span> <span class="o" style="font-weight: 600;">></span> <span class="nv" style="color: #008080;">$@</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#2341033f21e4c7183ccb234e8b2ed75de2d3d0eb"><strong>extensions/postgis_raster/Makefile</strong></a>
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<pre style="margin: 0;"> <span id="LC1" class="line" lang="make"><span class="k" style="font-weight: 600;">include</span><span class="sx" style="color: #d14;"> ../upgradeable_versions.mk</span></span>
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<pre style="margin: 0;"> <span id="LC2" class="line" lang="make"></span>
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3
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<pre style="margin: 0;"> <span id="LC3" class="line" lang="make"><span class="nv" style="color: #008080;">EXTENSION</span> <span class="o" style="font-weight: 600;">=</span> postgis_raster</span>
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4
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<pre style="margin: 0;">-<span id="LC4" class="line" lang="make"><span class="nv" style="color: #008080;">EXTVERSION</span> <span class="o" style="font-weight: 600;">=</span> 3.1.0beta<span class="idiff left right">1</span></span>
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="make"><span class="nv" style="color: #008080;">EXTVERSION</span> <span class="o" style="font-weight: 600;">=</span> 3.1.0beta<span class="idiff left right">2</span></span>
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5
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="make"><span class="nv" style="color: #008080;">MINORVERSION</span> <span class="o" style="font-weight: 600;">=</span> 3.1</span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="make"><span class="nv" style="color: #008080;">MODULEPATH</span> <span class="o" style="font-weight: 600;">=</span> <span class="nv" style="color: #008080;">$$</span>libdir/<span class="nv" style="color: #008080;">$(EXTENSION)</span><span class="nt" style="color: #000080;">-3</span></span>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="make"></span>
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<li id="a856d7b2aa1a2463a37d96bac0d18e3d8e9f2156">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#a856d7b2aa1a2463a37d96bac0d18e3d8e9f2156"><strong>liblwgeom/cunit/cu_geos.c</strong></a>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="71" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -71,7 +71,7 @@ test_geos_noop(void)</td>
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71
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<pre style="margin: 0;"> <span id="LC71" class="line" lang="c"> <span class="n" style="color: #333;">geom_in</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_from_wkt</span><span class="p">(</span><span class="n" style="color: #333;">in_ewkt</span><span class="p">,</span> <span class="n" style="color: #333;">LW_PARSER_CHECK_NONE</span><span class="p">);</span></span>
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72
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<pre style="margin: 0;"> <span id="LC72" class="line" lang="c"> <span class="n" style="color: #333;">geom_out</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_geos_noop</span><span class="p">(</span><span class="n" style="color: #333;">geom_in</span><span class="p">);</span></span>
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73
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<pre style="margin: 0;"> <span id="LC73" class="line" lang="c"> <span class="n" style="color: #333;">out_ewkt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_to_ewkt</span><span class="p">(</span><span class="n" style="color: #333;">geom_out</span><span class="p">);</span></span>
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74
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<pre style="margin: 0;">-<span id="LC74" class="line" lang="c"> <span class="n" style="color: #333;">ASSERT_STRING_EQUAL</span><span class="p">(</span><span class="n" style="color: #333;">out_ewkt</span><span class="p">,</span> <span class="s" style="color: #d14;">"GEOMETRYCOLLECTION(LINESTRING(1 1,2 2),POLYGON((0 0,1 0,1 1,0 0)))"</span><span class="p">);</span></span>
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74
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<pre style="margin: 0;">+<span id="LC74" class="line" lang="c"> <span class="n" style="color: #333;">ASSERT_STRING_EQUAL</span><span class="p">(</span><span class="n" style="color: #333;">out_ewkt</span><span class="p">,</span> <span class="s" style="color: #d14;">"GEOMETRYCOLLECTION(LINESTRING(1 1,2 2),PO<span class="idiff left right">INT EMPTY,PO</span>LYGON((0 0,1 0,1 1,0 0)))"</span><span class="p">);</span></span>
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75
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<pre style="margin: 0;"> <span id="LC75" class="line" lang="c"> <span class="n" style="color: #333;">lwfree</span><span class="p">(</span><span class="n" style="color: #333;">out_ewkt</span><span class="p">);</span></span>
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76
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<pre style="margin: 0;"> <span id="LC76" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_free</span><span class="p">(</span><span class="n" style="color: #333;">geom_in</span><span class="p">);</span></span>
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77
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<pre style="margin: 0;"> <span id="LC77" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_free</span><span class="p">(</span><span class="n" style="color: #333;">geom_out</span><span class="p">);</span></span>
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<li id="5f644d223cf1f1d824b653bfa1140b2b26ebb781">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#5f644d223cf1f1d824b653bfa1140b2b26ebb781"><strong>liblwgeom/lwgeom_geos.c</strong></a>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="426" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -426,7 +426,7 @@ LWGEOM2GEOS(const LWGEOM* lwgeom, uint8_t autofix)</td>
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426
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<pre style="margin: 0;"> <span id="LC426" class="line" lang="c"> <span class="n" style="color: #333;">lwp</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">LWPOINT</span><span class="o" style="font-weight: 600;">*</span><span class="p">)</span><span class="n" style="color: #333;">lwgeom</span><span class="p">;</span></span>
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427
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<pre style="margin: 0;"> <span id="LC427" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC428" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">lwgeom_is_empty</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom</span><span class="p">))</span></span>
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<pre style="margin: 0;">-<span id="LC429" class="line" lang="c"> <span class="n" style="color: #333;">g</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">GEOSGeom_createEmptyPo<span class="idiff left right">lygon</span></span><span class="p">();</span></span>
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<pre style="margin: 0;">+<span id="LC429" class="line" lang="c"> <span class="n" style="color: #333;">g</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">GEOSGeom_createEmptyPo<span class="idiff left right">int</span></span><span class="p">();</span></span>
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<pre style="margin: 0;"> <span id="LC430" class="line" lang="c"> <span class="k" style="font-weight: 600;">else</span></span>
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<pre style="margin: 0;"> <span id="LC431" class="line" lang="c"> <span class="p">{</span></span>
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<pre style="margin: 0;"> <span id="LC432" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#if POSTGIS_GEOS_VERSION < 38</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -532,7 +532,7 @@ LWGEOM2GEOS(const LWGEOM* lwgeom, uint8_t autofix)</td>
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<pre style="margin: 0;"> <span id="LC532" class="line" lang="c"> <span class="p">{</span></span>
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<pre style="margin: 0;"> <span id="LC533" class="line" lang="c"> <span class="n" style="color: #333;">GEOSGeometry</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">g</span><span class="p">;</span></span>
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<pre style="margin: 0;"> <span id="LC534" class="line" lang="c"></span>
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<pre style="margin: 0;">-<span id="LC535" class="line" lang="c"> <span class="k" style="font-weight: 600;"><span class="idiff left">if</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="n" style="color: #333;"><span class="idiff">lwgeom_is_empty</span></span><span class="p"><span class="idiff">(</span></span><span class="n" style="color: #333;"><span class="idiff">lwc</span></span><span class="o" style="font-weight: 600;"><span class="idiff">-></span></span><span class="n" style="color: #333;"><span class="idiff">geoms</span></span><span class="p"><span class="idiff">[</span></span><span class="n" style="color: #333;"><span class="idiff">i</span></span><span class="p"><span class="idiff">]))</span></span><span class="idiff"> </span><span class="k" style="font-weight: 600;"><span class="idiff">continue</span></span><span class="p"><span class="idiff right">;</span></span></span>
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<pre style="margin: 0;">+<span id="LC535" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">/* if (lwgeom_is_empty(lwc->geoms[i])) continue; */</span></span></span>
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<pre style="margin: 0;"> <span id="LC536" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC537" class="line" lang="c"> <span class="n" style="color: #333;">g</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">LWGEOM2GEOS</span><span class="p">(</span><span class="n" style="color: #333;">lwc</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">geoms</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">],</span> <span class="mi" style="color: #099;">0</span><span class="p">);</span></span>
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<pre style="margin: 0;"> <span id="LC538" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">g</span><span class="p">)</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#d245e65aa9e5457c6250c4a9bf445dcadf0cb043"><strong>liblwgeom/lwgeom_geos_clean.c</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -22,6 +22,9 @@</td>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> *</span></span>
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<pre style="margin: 0;"> <span id="LC23" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> **********************************************************************/</span></span>
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "../postgis_config.h"</span></span>
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/*#define POSTGIS_DEBUG_LEVEL 4*/</span></span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC28" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "liblwgeom.h"</span></span>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "lwgeom_geos.h"</span></span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "liblwgeom_internal.h"</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -31,7 +34,6 @@</td>
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include <stdlib.h></span></span>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include <assert.h></span></span>
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36
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="c"></span>
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<pre style="margin: 0;">-<span id="LC34" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/* #define POSTGIS_DEBUG_LEVEL 4 */</span></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/* #define PARANOIA_LEVEL 2 */</span></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#undef LWGEOM_PROFILE_MAKEVALID</span></span>
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="c"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -116,6 +118,36 @@ LWGEOM* lwline_make_geos_friendly(LWLINE* line);</td>
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116
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<pre style="margin: 0;"> <span id="LC118" class="line" lang="c"><span class="n" style="color: #333;">LWGEOM</span><span class="o" style="font-weight: 600;">*</span> <span class="nf" style="color: #900; font-weight: 600;">lwpoly_make_geos_friendly</span><span class="p">(</span><span class="n" style="color: #333;">LWPOLY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">poly</span><span class="p">);</span></span>
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119
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<pre style="margin: 0;"> <span id="LC119" class="line" lang="c"><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="nf" style="color: #900; font-weight: 600;">ring_make_geos_friendly</span><span class="p">(</span><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">ring</span><span class="p">);</span></span>
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<pre style="margin: 0;"> <span id="LC120" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC121" class="line" lang="c"><span class="k" style="font-weight: 600;">static</span> <span class="kt" style="color: #458; font-weight: 600;">void</span></span>
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122
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="c"><span class="nf" style="color: #900; font-weight: 600;">ptarray_strip_nan_coords_in_place</span><span class="p">(</span><span class="n" style="color: #333;">POINTARRAY</span> <span class="o" style="font-weight: 600;">*</span><span class="n" style="color: #333;">pa</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="c"><span class="p">{</span></span>
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="c"> <span class="kt" style="color: #458; font-weight: 600;">uint32_t</span> <span class="n" style="color: #333;">i</span><span class="p">,</span> <span class="n" style="color: #333;">j</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">0</span><span class="p">;</span></span>
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<pre style="margin: 0;">+<span id="LC125" class="line" lang="c"> <span class="n" style="color: #333;">POINT4D</span> <span class="o" style="font-weight: 600;">*</span><span class="n" style="color: #333;">p</span><span class="p">,</span> <span class="o" style="font-weight: 600;">*</span><span class="n" style="color: #333;">np</span><span class="p">;</span></span>
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126
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<pre style="margin: 0;">+<span id="LC126" class="line" lang="c"> <span class="kt" style="color: #458; font-weight: 600;">int</span> <span class="n" style="color: #333;">ndims</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">FLAGS_NDIMS</span><span class="p">(</span><span class="n" style="color: #333;">pa</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">flags</span><span class="p">);</span></span>
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<pre style="margin: 0;">+<span id="LC127" class="line" lang="c"> <span class="k" style="font-weight: 600;">for</span> <span class="p">(</span> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">0</span><span class="p">;</span> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;"><</span> <span class="n" style="color: #333;">pa</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">npoints</span><span class="p">;</span> <span class="n" style="color: #333;">i</span><span class="o" style="font-weight: 600;">++</span> <span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC128" class="line" lang="c"> <span class="p">{</span></span>
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129
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<pre style="margin: 0;">+<span id="LC129" class="line" lang="c"> <span class="kt" style="color: #458; font-weight: 600;">int</span> <span class="n" style="color: #333;">isnan</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">0</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="130" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
130
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<pre style="margin: 0;">+<span id="LC130" class="line" lang="c"> <span class="n" style="color: #333;">p</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">POINT4D</span> <span class="o" style="font-weight: 600;">*</span><span class="p">)(</span><span class="n" style="color: #333;">getPoint_internal</span><span class="p">(</span><span class="n" style="color: #333;">pa</span><span class="p">,</span> <span class="n" style="color: #333;">i</span><span class="p">));</span></span>
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<td class="diff-line-num new new_line" data-linenumber="131" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
131
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<pre style="margin: 0;">+<span id="LC131" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">x</span><span class="p">)</span> <span class="o" style="font-weight: 600;">||</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">y</span><span class="p">)</span> <span class="p">)</span> <span class="n" style="color: #333;">isnan</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">1</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="132" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
132
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<pre style="margin: 0;">+<span id="LC132" class="line" lang="c"> <span class="k" style="font-weight: 600;">else</span> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">ndims</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">&&</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">z</span><span class="p">)</span> <span class="p">)</span> <span class="n" style="color: #333;">isnan</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">1</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="133" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
133
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<pre style="margin: 0;">+<span id="LC133" class="line" lang="c"> <span class="k" style="font-weight: 600;">else</span> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">ndims</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">3</span> <span class="o" style="font-weight: 600;">&&</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">m</span><span class="p">)</span> <span class="p">)</span> <span class="n" style="color: #333;">isnan</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">1</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="134" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
134
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<pre style="margin: 0;">+<span id="LC134" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span> <span class="n" style="color: #333;">isnan</span> <span class="p">)</span> <span class="k" style="font-weight: 600;">continue</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="135" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
135
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<pre style="margin: 0;">+<span id="LC135" class="line" lang="c"></span>
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<td class="diff-line-num new new_line" data-linenumber="136" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
136
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<pre style="margin: 0;">+<span id="LC136" class="line" lang="c"> <span class="n" style="color: #333;">np</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">POINT4D</span> <span class="o" style="font-weight: 600;">*</span><span class="p">)(</span><span class="n" style="color: #333;">getPoint_internal</span><span class="p">(</span><span class="n" style="color: #333;">pa</span><span class="p">,</span> <span class="n" style="color: #333;">j</span><span class="o" style="font-weight: 600;">++</span><span class="p">));</span></span>
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<td class="diff-line-num new new_line" data-linenumber="137" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
137
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<pre style="margin: 0;">+<span id="LC137" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span> <span class="n" style="color: #333;">np</span> <span class="o" style="font-weight: 600;">!=</span> <span class="n" style="color: #333;">p</span> <span class="p">)</span> <span class="p">{</span></span>
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<td class="diff-line-num new new_line" data-linenumber="138" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
138
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<pre style="margin: 0;">+<span id="LC138" class="line" lang="c"> <span class="n" style="color: #333;">np</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">x</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="139" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
139
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<pre style="margin: 0;">+<span id="LC139" class="line" lang="c"> <span class="n" style="color: #333;">np</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">y</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="140" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
140
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<pre style="margin: 0;">+<span id="LC140" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">ndims</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">2</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="141" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
141
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<pre style="margin: 0;">+<span id="LC141" class="line" lang="c"> <span class="n" style="color: #333;">np</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">z</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">z</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="142" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
142
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<pre style="margin: 0;">+<span id="LC142" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">ndims</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">3</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="143" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
143
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<pre style="margin: 0;">+<span id="LC143" class="line" lang="c"> <span class="n" style="color: #333;">np</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">m</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">m</span><span class="p">;</span></span>
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144
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<pre style="margin: 0;">+<span id="LC144" class="line" lang="c"> <span class="p">}</span></span>
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145
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<pre style="margin: 0;">+<span id="LC145" class="line" lang="c"> <span class="p">}</span></span>
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<td class="diff-line-num new new_line" data-linenumber="146" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
146
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<pre style="margin: 0;">+<span id="LC146" class="line" lang="c"> <span class="n" style="color: #333;">pa</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">npoints</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">j</span><span class="p">;</span></span>
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<td class="diff-line-num new new_line" data-linenumber="147" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
147
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<pre style="margin: 0;">+<span id="LC147" class="line" lang="c"><span class="p">}</span></span>
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<td class="diff-line-num new new_line" data-linenumber="148" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
148
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<pre style="margin: 0;">+<span id="LC148" class="line" lang="c"></span>
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149
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<pre style="margin: 0;">+<span id="LC149" class="line" lang="c"></span>
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150
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<pre style="margin: 0;">+<span id="LC150" class="line" lang="c"></span>
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119
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151
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<pre style="margin: 0;"> <span id="LC151" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/*</span></span>
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120
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152
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<pre style="margin: 0;"> <span id="LC152" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> * Ensure the geometry is "structurally" valid</span></span>
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121
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153
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<pre style="margin: 0;"> <span id="LC153" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> * (enough for GEOS to accept it)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="129" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="161" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -129,10 +161,8 @@ lwgeom_make_geos_friendly(LWGEOM* geom)</td>
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129
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161
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<pre style="margin: 0;"> <span id="LC161" class="line" lang="c"> <span class="k" style="font-weight: 600;">switch</span> <span class="p">(</span><span class="n" style="color: #333;">geom</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">type</span><span class="p">)</span></span>
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130
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162
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<pre style="margin: 0;"> <span id="LC162" class="line" lang="c"> <span class="p">{</span></span>
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131
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163
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<pre style="margin: 0;"> <span id="LC163" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">POINTTYPE</span><span class="p">:</span></span>
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132
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<pre style="margin: 0;">-<span id="LC132" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">MULTIPOINTTYPE</span><span class="p">:</span></span>
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133
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<pre style="margin: 0;">-<span id="LC133" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/* a point is always valid */</span></span>
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<td class="diff-line-num new new_line" data-linenumber="164" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
164
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<pre style="margin: 0;">+<span id="LC164" class="line" lang="c"> <span class="n" style="color: #333;">ptarray_strip_nan_coords_in_place</span><span class="p">(((</span><span class="n" style="color: #333;">LWPOINT</span><span class="o" style="font-weight: 600;">*</span><span class="p">)</span><span class="n" style="color: #333;">geom</span><span class="p">)</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">point</span><span class="p">);</span></span>
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134
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165
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<pre style="margin: 0;"> <span id="LC165" class="line" lang="c"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">geom</span><span class="p">;</span></span>
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135
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<pre style="margin: 0;">-<span id="LC135" class="line" lang="c"> <span class="k" style="font-weight: 600;">break</span><span class="p">;</span></span>
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136
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166
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<pre style="margin: 0;"> <span id="LC166" class="line" lang="c"></span>
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137
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167
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">LINETYPE</span><span class="p">:</span></span>
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138
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<td class="diff-line-num new_line" data-linenumber="168" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
168
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/* lines need at least 2 points */</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="147" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="177" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -147,6 +177,7 @@ lwgeom_make_geos_friendly(LWGEOM* geom)</td>
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147
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177
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<pre style="margin: 0;"> <span id="LC177" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">MULTILINETYPE</span><span class="p">:</span></span>
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148
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178
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<pre style="margin: 0;"> <span id="LC178" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">MULTIPOLYGONTYPE</span><span class="p">:</span></span>
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149
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179
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<pre style="margin: 0;"> <span id="LC179" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">COLLECTIONTYPE</span><span class="p">:</span></span>
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<td class="diff-line-num new new_line" data-linenumber="180" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
180
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<pre style="margin: 0;">+<span id="LC180" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">MULTIPOINTTYPE</span><span class="p">:</span></span>
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150
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181
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<pre style="margin: 0;"> <span id="LC181" class="line" lang="c"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lwcollection_make_geos_friendly</span><span class="p">((</span><span class="n" style="color: #333;">LWCOLLECTION</span><span class="o" style="font-weight: 600;">*</span><span class="p">)</span><span class="n" style="color: #333;">geom</span><span class="p">);</span></span>
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151
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182
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<pre style="margin: 0;"> <span id="LC182" class="line" lang="c"> <span class="k" style="font-weight: 600;">break</span><span class="p">;</span></span>
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152
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183
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<pre style="margin: 0;"> <span id="LC183" class="line" lang="c"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -170,8 +201,7 @@ lwgeom_make_geos_friendly(LWGEOM* geom)</td>
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170
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<pre style="margin: 0;"> <span id="LC201" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> * constructed POINTARRAY.</span></span>
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<pre style="margin: 0;"> <span id="LC202" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> * TODO: move in ptarray.c</span></span>
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<pre style="margin: 0;"> <span id="LC203" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> */</span></span>
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173
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<pre style="margin: 0;">-<span id="LC173" class="line" lang="c"><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="nf" style="color: #900; font-weight: 600;">ptarray_close2d</span><span class="p">(</span><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">ring</span><span class="p">);</span></span>
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174
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<pre style="margin: 0;">-<span id="LC174" class="line" lang="c"><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span></span>
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<pre style="margin: 0;">+<span id="LC204" class="line" lang="c"><span class="k" style="font-weight: 600;">static</span> <span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span></span>
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<pre style="margin: 0;"> <span id="LC205" class="line" lang="c"><span class="nf" style="color: #900; font-weight: 600;">ptarray_close2d</span><span class="p">(</span><span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">ring</span><span class="p">)</span></span>
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176
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206
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<pre style="margin: 0;"> <span id="LC206" class="line" lang="c"><span class="p">{</span></span>
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<pre style="margin: 0;"> <span id="LC207" class="line" lang="c"> <span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">newring</span><span class="p">;</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="193" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -193,6 +223,8 @@ ring_make_geos_friendly(POINTARRAY* ring)</td>
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193
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<pre style="margin: 0;"> <span id="LC223" class="line" lang="c"> <span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">closedring</span><span class="p">;</span></span>
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<pre style="margin: 0;"> <span id="LC224" class="line" lang="c"> <span class="n" style="color: #333;">POINTARRAY</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">ring_in</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ring</span><span class="p">;</span></span>
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<pre style="margin: 0;"> <span id="LC225" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="c"> <span class="n" style="color: #333;">ptarray_strip_nan_coords_in_place</span><span class="p">(</span><span class="n" style="color: #333;">ring_in</span><span class="p">);</span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC228" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/* close the ring if not already closed (2d only) */</span></span>
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197
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<pre style="margin: 0;"> <span id="LC229" class="line" lang="c"> <span class="n" style="color: #333;">closedring</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ptarray_close2d</span><span class="p">(</span><span class="n" style="color: #333;">ring</span><span class="p">);</span></span>
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198
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">closedring</span> <span class="o" style="font-weight: 600;">!=</span> <span class="n" style="color: #333;">ring</span><span class="p">)</span> <span class="n" style="color: #333;">ring</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">closedring</span><span class="p">;</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="259" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="291" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -259,6 +291,8 @@ lwline_make_geos_friendly(LWLINE* line)</td>
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<pre style="margin: 0;"> <span id="LC291" class="line" lang="c"><span class="p">{</span></span>
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<pre style="margin: 0;"> <span id="LC292" class="line" lang="c"> <span class="n" style="color: #333;">LWGEOM</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">ret</span><span class="p">;</span></span>
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<pre style="margin: 0;"> <span id="LC293" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC294" class="line" lang="c"> <span class="n" style="color: #333;">ptarray_strip_nan_coords_in_place</span><span class="p">(</span><span class="n" style="color: #333;">line</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">points</span><span class="p">);</span></span>
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295
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<pre style="margin: 0;">+<span id="LC295" class="line" lang="c"></span>
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262
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296
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<pre style="margin: 0;"> <span id="LC296" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">line</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">points</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">npoints</span> <span class="o" style="font-weight: 600;">==</span> <span class="mi" style="color: #099;">1</span><span class="p">)</span> <span class="cm" style="color: #998; font-style: italic;">/* 0 is fine, 2 is fine */</span></span>
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263
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297
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<pre style="margin: 0;"> <span id="LC297" class="line" lang="c"> <span class="p">{</span></span>
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264
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298
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<pre style="margin: 0;"> <span id="LC298" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#if 1</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="858" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="892" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -858,6 +892,8 @@ lwgeom_make_valid(LWGEOM* lwgeom_in)</td>
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858
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892
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<pre style="margin: 0;"> <span id="LC892" class="line" lang="c"> <span class="n" style="color: #333;">GEOSGeometry</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">geosout</span><span class="p">;</span></span>
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859
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893
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<pre style="margin: 0;"> <span id="LC893" class="line" lang="c"> <span class="n" style="color: #333;">LWGEOM</span><span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">lwgeom_out</span><span class="p">;</span></span>
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860
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894
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<pre style="margin: 0;"> <span id="LC894" class="line" lang="c"></span>
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<td class="diff-line-num new new_line" data-linenumber="895" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
895
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<pre style="margin: 0;">+<span id="LC895" class="line" lang="c"> <span class="n" style="color: #333;">LWDEBUG</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="s" style="color: #d14;">"lwgeom_make_valid enter"</span><span class="p">);</span></span>
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896
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<pre style="margin: 0;">+<span id="LC896" class="line" lang="c"></span>
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861
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897
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<pre style="margin: 0;"> <span id="LC897" class="line" lang="c"> <span class="n" style="color: #333;">is3d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">FLAGS_GET_Z</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom_in</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">flags</span><span class="p">);</span></span>
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862
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898
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<pre style="margin: 0;"> <span id="LC898" class="line" lang="c"></span>
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863
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899
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<pre style="margin: 0;"> <span id="LC899" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/*</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="867" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="903" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -867,7 +903,9 @@ lwgeom_make_valid(LWGEOM* lwgeom_in)</td>
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867
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903
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<pre style="margin: 0;"> <span id="LC903" class="line" lang="c"></span>
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868
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904
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<pre style="margin: 0;"> <span id="LC904" class="line" lang="c"> <span class="n" style="color: #333;">initGEOS</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom_geos_error</span><span class="p">,</span> <span class="n" style="color: #333;">lwgeom_geos_error</span><span class="p">);</span></span>
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869
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905
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<pre style="margin: 0;"> <span id="LC905" class="line" lang="c"></span>
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870
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<pre style="margin: 0;">-<span id="LC870" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_out</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_in</span><span class="p">;</span></span>
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906
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<pre style="margin: 0;">+<span id="LC906" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_out</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_make_geos_friendly</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom_in</span><span class="p">);</span></span>
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<td class="diff-line-num new new_line" data-linenumber="907" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
907
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<pre style="margin: 0;">+<span id="LC907" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">lwgeom_out</span><span class="p">)</span> <span class="n" style="color: #333;">lwerror</span><span class="p">(</span><span class="s" style="color: #d14;">"Could not make a geos friendly geometry out of input"</span><span class="p">);</span></span>
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908
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<pre style="margin: 0;">+<span id="LC908" class="line" lang="c"></span>
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871
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909
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<pre style="margin: 0;"> <span id="LC909" class="line" lang="c"> <span class="n" style="color: #333;">geosgeom</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">LWGEOM2GEOS</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom_out</span><span class="p">,</span> <span class="mi" style="color: #099;">1</span><span class="p">);</span></span>
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872
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910
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<pre style="margin: 0;"> <span id="LC910" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">geosgeom</span><span class="p">)</span></span>
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873
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911
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<pre style="margin: 0;"> <span id="LC911" class="line" lang="c"> <span class="p">{</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="876" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="914" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -876,8 +914,6 @@ lwgeom_make_valid(LWGEOM* lwgeom_in)</td>
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876
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914
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<pre style="margin: 0;"> <span id="LC914" class="line" lang="c"> <span class="s" style="color: #d14;">" - will try cleaning that up first"</span><span class="p">,</span></span>
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877
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915
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<pre style="margin: 0;"> <span id="LC915" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_geos_errmsg</span><span class="p">);</span></span>
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878
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916
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<pre style="margin: 0;"> <span id="LC916" class="line" lang="c"></span>
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879
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<pre style="margin: 0;">-<span id="LC879" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_out</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_make_geos_friendly</span><span class="p">(</span><span class="n" style="color: #333;">lwgeom_out</span><span class="p">);</span></span>
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880
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<pre style="margin: 0;">-<span id="LC880" class="line" lang="c"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">lwgeom_out</span><span class="p">)</span> <span class="n" style="color: #333;">lwerror</span><span class="p">(</span><span class="s" style="color: #d14;">"Could not make a valid geometry out of input"</span><span class="p">);</span></span>
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881
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917
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<pre style="margin: 0;"> <span id="LC917" class="line" lang="c"></span>
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882
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918
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<pre style="margin: 0;"> <span id="LC918" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/* try again as we did cleanup now */</span></span>
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883
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919
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<pre style="margin: 0;"> <span id="LC919" class="line" lang="c"> <span class="cm" style="color: #998; font-style: italic;">/* TODO: invoke LWGEOM2GEOS directly with autoclean ? */</span></span>
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<li id="b06c7a6b2a698377d3124f9d751eec6dd78453b8">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#b06c7a6b2a698377d3124f9d751eec6dd78453b8"><strong>postgis/lwgeom_geos_clean.c</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -27,7 +27,10 @@</td>
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<pre style="margin: 0;"> <span id="LC27" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "fmgr.h"</span></span>
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28
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<pre style="margin: 0;"> <span id="LC28" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "funcapi.h"</span></span>
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29
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "../postgis_config.h"</span></span>
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/*#define POSTGIS_DEBUG_LEVEL 4*/</span></span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "lwgeom_geos.h"</span></span>
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35
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "liblwgeom.h"</span></span>
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36
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include "lwgeom_pg.h"</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -35,8 +38,6 @@</td>
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35
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38
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include <string.h></span></span>
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36
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39
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#include <assert.h></span></span>
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<pre style="margin: 0;"> <span id="LC40" class="line" lang="c"></span>
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<pre style="margin: 0;">-<span id="LC38" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">/* #define POSTGIS_DEBUG_LEVEL 4 */</span></span>
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<pre style="margin: 0;">-<span id="LC39" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="c"><span class="n" style="color: #333;">Datum</span> <span class="nf" style="color: #900; font-weight: 600;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">PG_FUNCTION_ARGS</span><span class="p">);</span></span>
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41
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="c"><span class="n" style="color: #333;">PG_FUNCTION_INFO_V1</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">);</span></span>
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<pre style="margin: 0;"> <span id="LC43" class="line" lang="c"><span class="n" style="color: #333;">Datum</span> <span class="nf" style="color: #900; font-weight: 600;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">PG_FUNCTION_ARGS</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -47,6 +48,8 @@ Datum ST_MakeValid(PG_FUNCTION_ARGS)</td>
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<pre style="margin: 0;"> <span id="LC48" class="line" lang="c"> <span class="n" style="color: #333;">in</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">PG_GETARG_GSERIALIZED_P</span><span class="p">(</span><span class="mi" style="color: #099;">0</span><span class="p">);</span></span>
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48
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<pre style="margin: 0;"> <span id="LC49" class="line" lang="c"> <span class="n" style="color: #333;">lwgeom_in</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lwgeom_from_gserialized</span><span class="p">(</span><span class="n" style="color: #333;">in</span><span class="p">);</span></span>
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49
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="c"></span>
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<pre style="margin: 0;">+<span id="LC51" class="line" lang="c"> <span class="n" style="color: #333;">POSTGIS_DEBUG</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="s" style="color: #d14;">"ST_MakeValid enter"</span><span class="p">);</span></span>
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52
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC53" class="line" lang="c"> <span class="k" style="font-weight: 600;">switch</span> <span class="p">(</span> <span class="n" style="color: #333;">lwgeom_in</span><span class="o" style="font-weight: 600;">-></span><span class="n" style="color: #333;">type</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC54" class="line" lang="c"> <span class="p">{</span></span>
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<pre style="margin: 0;"> <span id="LC55" class="line" lang="c"> <span class="k" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">POINTTYPE</span><span class="p">:</span></span>
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<li id="62cafe89efb9f33095af7456033d59e742afd4e4">
<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#62cafe89efb9f33095af7456033d59e742afd4e4"><strong>postgis/sqldefines.h</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -10,7 +10,7 @@</td>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_PGSQL_HR_VERSION 9.6</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_GEOS_VERSION 36</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_PROJ_VERSION 72</span></span>
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<pre style="margin: 0;">-<span id="LC13" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_LIB_VERSION '3.1.0beta<span class="idiff left right">1</span>'</span></span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_LIB_VERSION '3.1.0beta<span class="idiff left right">2</span>'</span></span>
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<pre style="margin: 0;"> <span id="LC14" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_LIBXML2_VERSION 2.9.10</span></span>
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<pre style="margin: 0;"> <span id="LC15" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_SFCGAL_VERSION 10308</span></span>
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="c"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -40,7 +40,7 @@</td>
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<pre style="margin: 0;"> <span id="LC40" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> * won't substitute within apostrophes)</span></span>
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;"> */</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_VERSION 'SELECT ''3.1 USE_GEOS=1 USE_PROJ=1 USE_STATS=1''::text AS version'</span></span>
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<pre style="margin: 0;">-<span id="LC43" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_BUILD_DATE 'SELECT ''2020-12-1<span class="idiff left right">0 00:05:53</span>''::text AS version'</span></span>
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<pre style="margin: 0;">+<span id="LC43" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_BUILD_DATE 'SELECT ''2020-12-1<span class="idiff left right">1 17:45:04</span>''::text AS version'</span></span>
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<pre style="margin: 0;"> <span id="LC44" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_PGSQL_VERSION 'SELECT ''96''::text AS version'</span></span>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#ifdef POSTGIS_REVISION</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -50,9 +50,9 @@</td>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">* which means we need to then trim it to get rid of the extra spaces we added.</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">* Maybe someone smarter can come up with a less goofy solution that makes all OS happy</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="c"><span class="cm" style="color: #998; font-style: italic;">*/</span></span>
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<pre style="margin: 0;">-<span id="LC53" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_SCRIPTS_VERSION $$ SELECT trim('3.1.0beta<span class="idiff left right">1</span>'::text || $rev$ POSTGIS_REVISION $rev$) AS version $$</span></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_SCRIPTS_VERSION $$ SELECT trim('3.1.0beta<span class="idiff left right">2</span>'::text || $rev$ POSTGIS_REVISION $rev$) AS version $$</span></span>
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<pre style="margin: 0;"> <span id="LC54" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#else</span></span>
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<pre style="margin: 0;">-<span id="LC55" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_SCRIPTS_VERSION $$ SELECT '3.1.0beta<span class="idiff left right">1</span>'::text AS version $$</span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define _POSTGIS_SQL_SELECT_POSTGIS_SCRIPTS_VERSION $$ SELECT '3.1.0beta<span class="idiff left right">2</span>'::text AS version $$</span></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#endif</span></span>
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<pre style="margin: 0;"> <span id="LC57" class="line" lang="c"></span>
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<pre style="margin: 0;"> <span id="LC58" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define SRID_USR_MAX 998999</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#a12eec8002ed303683704f9120b4783f86e1a243"><strong>postgis_revision.h</strong></a>
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<pre style="margin: 0;">-<span id="LC1" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_REVISION <span class="idiff left right">721a0b7</span></span></span></pre>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="c"><span class="cp" style="color: #999; font-weight: 600;">#define POSTGIS_REVISION <span class="idiff left right">f3e3eb8</span></span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#048d6276b44a9d9f3519b5a9ea1c62a76f1af2c3"><strong>regress/core/clean.sql</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -49,4 +49,46 @@ SELECT '#1719.1', ST_AsEWKT(ST_MakeValid('POINT(0 0)'));</td>
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<pre style="margin: 0;"> <span id="LC49" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#1719.2'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_Normalize</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="s1" style="color: #d14;">'GEOMETRYCOLLECTION(POINT(0 0),MULTIPOINT(3 4,5 2),LINESTRING(4 4, 4 4),POLYGON((0 0,10 10,0 10,10 0,0 0)))'</span><span class="p">)));</span></span>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#1719.3'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="s1" style="color: #d14;">'MULTIPOINT(3 4,5 2)'</span><span class="p">));</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="sql"></span>
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="sql"></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.0'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)));</span></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.1'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_Collect</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC56" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC58" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">10</span><span class="p">,</span> <span class="mi" style="color: #099;">10</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC59" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC60" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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<pre style="margin: 0;">+<span id="LC61" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC62" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">foo</span><span class="p">;</span></span>
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<pre style="margin: 0;">+<span id="LC63" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.10'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeLine</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC64" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span></span>
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<pre style="margin: 0;">+<span id="LC65" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">foo</span><span class="p">;</span></span>
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<pre style="margin: 0;">+<span id="LC66" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.11'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeLine</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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67
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<pre style="margin: 0;">+<span id="LC67" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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68
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<pre style="margin: 0;">+<span id="LC68" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span></span>
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69
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<pre style="margin: 0;">+<span id="LC69" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">foo</span><span class="p">;</span></span>
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70
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<pre style="margin: 0;">+<span id="LC70" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.12'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeLine</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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71
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<pre style="margin: 0;">+<span id="LC71" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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72
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<pre style="margin: 0;">+<span id="LC72" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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73
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<pre style="margin: 0;">+<span id="LC73" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">2</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span></span>
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74
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<pre style="margin: 0;">+<span id="LC74" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">foo</span><span class="p">;</span></span>
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75
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<pre style="margin: 0;">+<span id="LC75" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.13'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeLine</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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76
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<pre style="margin: 0;">+<span id="LC76" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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77
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">2</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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78
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<pre style="margin: 0;">+<span id="LC78" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span></span>
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79
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<pre style="margin: 0;">+<span id="LC79" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">foo</span><span class="p">;</span></span>
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80
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<pre style="margin: 0;">+<span id="LC80" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span> <span class="s1" style="color: #d14;">'#4813.20'</span><span class="p">,</span> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakeValid</span><span class="p">(</span><span class="n" style="color: #333;">ST_SetSRID</span><span class="p">(</span><span class="n" style="color: #333;">ST_MakePolygon</span><span class="p">(</span><span class="n" style="color: #333;">r</span><span class="p">),</span> <span class="mi" style="color: #099;">4326</span><span class="p">)))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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<td class="diff-line-num new new_line" data-linenumber="81" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
81
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<pre style="margin: 0;">+<span id="LC81" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakeLine</span><span class="p">(</span><span class="n" style="color: #333;">p</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">r</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span></span>
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<td class="diff-line-num new new_line" data-linenumber="82" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
82
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<pre style="margin: 0;">+<span id="LC82" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">p</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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83
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<pre style="margin: 0;">+<span id="LC83" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">10</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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84
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<pre style="margin: 0;">+<span id="LC84" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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85
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<pre style="margin: 0;">+<span id="LC85" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">10</span><span class="p">,</span> <span class="mi" style="color: #099;">10</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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86
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<pre style="margin: 0;">+<span id="LC86" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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87
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<pre style="margin: 0;">+<span id="LC87" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">0</span><span class="p">,</span> <span class="mi" style="color: #099;">10</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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88
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<pre style="margin: 0;">+<span id="LC88" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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89
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<pre style="margin: 0;">+<span id="LC89" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="s1" style="color: #d14;">'NaN'</span><span class="p">,</span> <span class="s1" style="color: #d14;">'NaN'</span><span class="p">)</span> <span class="k" style="font-weight: 600;">UNION</span> <span class="k" style="font-weight: 600;">ALL</span></span>
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90
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<pre style="margin: 0;">+<span id="LC90" class="line" lang="sql"> <span class="k" style="font-weight: 600;">SELECT</span> <span class="n" style="color: #333;">ST_MakePoint</span><span class="p">(</span><span class="mi" style="color: #099;">1</span><span class="p">,</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span></span>
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91
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<pre style="margin: 0;">+<span id="LC91" class="line" lang="sql"> <span class="p">)</span> <span class="n" style="color: #333;">foo</span></span>
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92
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<pre style="margin: 0;">+<span id="LC92" class="line" lang="sql"><span class="p">)</span> <span class="n" style="color: #333;">bar</span><span class="p">;</span></span>
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<pre style="margin: 0;">+<span id="LC93" class="line" lang="sql"></span>
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<pre style="margin: 0;"> <span id="LC94" class="line" lang="sql"><span class="k" style="font-weight: 600;">DROP</span> <span class="k" style="font-weight: 600;">TABLE</span> <span class="n" style="color: #333;">clean_cases</span><span class="p">;</span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#ee2efb288d8b2eb045b440f8057ae52c6580f6a4"><strong>regress/core/clean_expected</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -29,3 +29,10 @@ RT|17.1|t|t|f</td>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="plaintext">#1719.1|POINT(0 0)</span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="plaintext">#1719.2|GEOMETRYCOLLECTION(MULTIPOLYGON(((0 10,10 10,5 5,0 10)),((0 0,5 5,10 0,0 0))),MULTIPOINT(5 2,3 4),POINT(4 4),POINT(0 0))</span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="plaintext">#1719.3|MULTIPOINT(3 4,5 2)</span>
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="plaintext">#4813.0|SRID=4326;POINT EMPTY</span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="plaintext">#4813.1|SRID=4326;MULTIPOINT(EMPTY,1 0,EMPTY,10 10,EMPTY,EMPTY,EMPTY)</span>
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="plaintext">#4813.10|SRID=4326;LINESTRING EMPTY</span>
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<pre style="margin: 0;">+<span id="LC35" class="line" lang="plaintext">#4813.11|SRID=4326;POINT(1 0)</span>
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="plaintext">#4813.12|SRID=4326;LINESTRING(1 0,2 0)</span>
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<pre style="margin: 0;">+<span id="LC37" class="line" lang="plaintext">#4813.13|SRID=4326;LINESTRING(1 0,2 0)</span>
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<pre style="margin: 0;">+<span id="LC38" class="line" lang="plaintext">#4813.20|SRID=4326;POLYGON((1 0,10 0,10 10,0 10,1 0))</span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#974006fbe2dc4f0eb150b305dbd8a2f6234e0cb0"><strong>regress/core/geos_noop.sql</strong></a>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="sql"><span class="k" style="font-weight: 600;">SELECT</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="sql"> <span class="c1" style="color: #998; font-style: italic;">--ST_AsEWKT(g),</span></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="sql"> <span class="n" style="color: #333;">ST_AsEWKT</span><span class="p">(</span><span class="n" style="color: #333;">postgis_geos_noop</span><span class="p">(</span><span class="k" style="font-weight: 600;">g</span><span class="p">))</span> <span class="k" style="font-weight: 600;">FROM</span> <span class="p">(</span> <span class="k" style="font-weight: 600;">VALUES</span></span>
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4
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;POINT EMPTY'</span><span class="p">),</span></span>
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5
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;MULTIPOINT EMPTY'</span><span class="p">),</span></span>
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6
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;LINESTRING EMPTY'</span><span class="p">),</span></span>
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<td class="diff-line-num new new_line" data-linenumber="7" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
7
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;MULTILINESTRING EMPTY'</span><span class="p">),</span></span>
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8
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;POLYGON EMPTY'</span><span class="p">),</span></span>
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9
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;MULTIPOLYGON EMPTY'</span><span class="p">),</span></span>
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10
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;GEOMETRYCOLLECTION EMPTY'</span><span class="p">),</span></span>
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11
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="sql"><span class="p">(</span><span class="s1" style="color: #d14;">'SRID=4326;GEOMETRYCOLLECTION(POINT EMPTY, LINESTRING EMPTY, POLYGON EMPTY, GEOMETRYCOLLECTION EMPTY)'</span><span class="p">)</span></span>
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12
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="sql"><span class="p">)</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">foo</span><span class="p">(</span><span class="k" style="font-weight: 600;">g</span><span class="p">);</span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/postgis/-/compare/166ec51ab4f4dfaaedde8518ee9311fbbe31d425...e28f46359e87f1aece19ce05ee3eaeff9bdfe600#f93b558dcc116661ee16f94b14182e01fc4574d2"><strong>regress/core/geos_noop_expected</strong></a>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="plaintext">SRID=4326;POINT EMPTY</span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="plaintext">SRID=4326;MULTIPOINT EMPTY</span>
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3
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="plaintext">SRID=4326;LINESTRING EMPTY</span>
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4
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="plaintext">SRID=4326;MULTILINESTRING EMPTY</span>
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5
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="plaintext">SRID=4326;POLYGON EMPTY</span>
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6
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="plaintext">SRID=4326;MULTIPOLYGON EMPTY</span>
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7
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="plaintext">SRID=4326;GEOMETRYCOLLECTION EMPTY</span>
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8
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="plaintext">SRID=4326;GEOMETRYCOLLECTION(POINT EMPTY,LINESTRING EMPTY,POLYGON EMPTY,GEOMETRYCOLLECTION EMPTY)</span></pre>
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