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diff --git a/test/notnull2.test b/test/notnull2.test
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+# 2021 February 15
+#
+# The author disclaims copyright to this source code. In place of
+# a legal notice, here is a blessing:
+#
+# May you do good and not evil.
+# May you find forgiveness for yourself and forgive others.
+# May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library. The
+# focus of this file is testing optimizations associated with "IS NULL"
+# and "IS NOT NULL" operators on columns with NOT NULL constraints.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix notnull2
+
+do_execsql_test 1.0 {
+ CREATE TABLE t1(a, b);
+ CREATE TABLE t2(c, d NOT NULL);
+
+ WITH x(i) AS (
+ SELECT 1 UNION ALL SELECT i+1 FROM x WHERE i<1000
+ )
+ INSERT INTO t1 SELECT i, i FROM x;
+ INSERT INTO t2 SELECT * FROM t1;
+}
+
+proc do_vmstep_test {tn sql nstep {res {}}} {
+ uplevel [list do_execsql_test $tn.0 $sql $res]
+
+ set vmstep [db status vmstep]
+ if {[string range $nstep 0 0]=="+"} {
+ set body "if {$vmstep<$nstep} {
+ error \"got $vmstep, expected more than [string range $nstep 1 end]\"
+ }"
+ } else {
+ set body "if {$vmstep>$nstep} {
+ error \"got $vmstep, expected less than $nstep\"
+ }"
+ }
+
+ # set name "$tn.vmstep=$vmstep,expect=$nstep"
+ set name "$tn.1"
+ uplevel [list do_test $name $body {}]
+}
+
+do_vmstep_test 1.1.1 {
+ SELECT * FROM t1 LEFT JOIN t2 WHERE a=c AND d IS NULL;
+} 100 {}
+do_vmstep_test 1.1.2 {
+ SELECT * FROM t1 LEFT JOIN t2 WHERE a=c AND c IS NULL;
+} +1000 {}
+
+do_vmstep_test 1.2.1 {
+ SELECT * FROM ( SELECT * FROM t2 ) WHERE d IS NULL
+} 100 {}
+do_vmstep_test 1.2.2 {
+ SELECT * FROM ( SELECT * FROM t2 ) WHERE c IS NULL
+} +1000 {}
+
+do_vmstep_test 1.3.1 {
+ SELECT * FROM t2 WHERE d IS NULL
+} 100 {}
+do_vmstep_test 1.3.2 {
+ SELECT * FROM t2 WHERE c IS NULL
+} +1000 {}
+
+do_vmstep_test 1.4.1 {
+ SELECT (d IS NOT NULL) FROM t2 WHERE 0==( d IS NOT NULL )
+} 100 {}
+do_vmstep_test 1.4.2 {
+ SELECT * FROM t2 WHERE 0==( c IS NOT NULL )
+} +1000 {}
+
+do_vmstep_test 1.5.1 {
+ SELECT count(*) FROM t2 WHERE EXISTS(
+ SELECT t2.d IS NULL FROM t1 WHERE t1.a=450
+ )
+} 10000 {1000}
+do_vmstep_test 1.5.2 {
+ SELECT count(*) FROM t2 WHERE EXISTS(
+ SELECT t2.c IS NULL FROM t1 WHERE t1.a=450
+ )
+} +100000 {1000}
+
+
+finish_test
+