diff --git a/doc/src/sgml/datatype.sgml b/doc/src/sgml/datatype.sgml
index 9d5ce953f17..8e13555a3aa 100644
--- a/doc/src/sgml/datatype.sgml
+++ b/doc/src/sgml/datatype.sgml
@@ -612,6 +612,31 @@ NUMERIC
equivalent. Both types are part of the SQL
standard.
+
+
+ When rounding values, the numeric type rounds ties away
+ from zero, while (on most machines) the real
+ and double precision types round ties to the nearest even
+ number. For example:
+
+
+SELECT x,
+ round(x::numeric) AS num_round,
+ round(x::double precision) AS dbl_round
+FROM generate_series(-3.5, 3.5, 1) as x;
+ x | num_round | dbl_round
+------+-----------+-----------
+ -3.5 | -4 | -4
+ -2.5 | -3 | -2
+ -1.5 | -2 | -2
+ -0.5 | -1 | -0
+ 0.5 | 1 | 0
+ 1.5 | 2 | 2
+ 2.5 | 3 | 2
+ 3.5 | 4 | 4
+(8 rows)
+
+
diff --git a/src/test/regress/expected/int2.out b/src/test/regress/expected/int2.out
index 311fe730a5b..3ea4ed93a0a 100644
--- a/src/test/regress/expected/int2.out
+++ b/src/test/regress/expected/int2.out
@@ -286,3 +286,23 @@ FROM (VALUES (-2.5::float8),
2.5 | 2
(7 rows)
+-- check rounding when casting from numeric
+SELECT x, x::int2 AS int2_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
+ x | int2_value
+------+------------
+ -2.5 | -3
+ -1.5 | -2
+ -0.5 | -1
+ 0.0 | 0
+ 0.5 | 1
+ 1.5 | 2
+ 2.5 | 3
+(7 rows)
+
diff --git a/src/test/regress/expected/int4.out b/src/test/regress/expected/int4.out
index 83fe022d7fe..372fd4d94c8 100644
--- a/src/test/regress/expected/int4.out
+++ b/src/test/regress/expected/int4.out
@@ -383,3 +383,23 @@ FROM (VALUES (-2.5::float8),
2.5 | 2
(7 rows)
+-- check rounding when casting from numeric
+SELECT x, x::int4 AS int4_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
+ x | int4_value
+------+------------
+ -2.5 | -3
+ -1.5 | -2
+ -0.5 | -1
+ 0.0 | 0
+ 0.5 | 1
+ 1.5 | 2
+ 2.5 | 3
+(7 rows)
+
diff --git a/src/test/regress/expected/int8-exp-three-digits.out b/src/test/regress/expected/int8-exp-three-digits.out
index a4f0cc23ec5..7ad4dcea0fd 100644
--- a/src/test/regress/expected/int8-exp-three-digits.out
+++ b/src/test/regress/expected/int8-exp-three-digits.out
@@ -866,3 +866,23 @@ FROM (VALUES (-2.5::float8),
2.5 | 2
(7 rows)
+-- check rounding when casting from numeric
+SELECT x, x::int8 AS int8_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
+ x | int8_value
+------+------------
+ -2.5 | -3
+ -1.5 | -2
+ -0.5 | -1
+ 0.0 | 0
+ 0.5 | 1
+ 1.5 | 2
+ 2.5 | 3
+(7 rows)
+
diff --git a/src/test/regress/expected/int8.out b/src/test/regress/expected/int8.out
index da8be51886c..ed0bd34221e 100644
--- a/src/test/regress/expected/int8.out
+++ b/src/test/regress/expected/int8.out
@@ -866,3 +866,23 @@ FROM (VALUES (-2.5::float8),
2.5 | 2
(7 rows)
+-- check rounding when casting from numeric
+SELECT x, x::int8 AS int8_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
+ x | int8_value
+------+------------
+ -2.5 | -3
+ -1.5 | -2
+ -0.5 | -1
+ 0.0 | 0
+ 0.5 | 1
+ 1.5 | 2
+ 2.5 | 3
+(7 rows)
+
diff --git a/src/test/regress/expected/numeric.out b/src/test/regress/expected/numeric.out
index 9d6814564df..e6ee548e7c0 100644
--- a/src/test/regress/expected/numeric.out
+++ b/src/test/regress/expected/numeric.out
@@ -730,6 +730,30 @@ SELECT a, ceil(a), ceiling(a), floor(a), round(a) FROM ceil_floor_round;
(7 rows)
DROP TABLE ceil_floor_round;
+-- Check rounding, it should round ties away from zero.
+SELECT i as pow,
+ round((-2.5 * 10 ^ i)::numeric, -i),
+ round((-1.5 * 10 ^ i)::numeric, -i),
+ round((-0.5 * 10 ^ i)::numeric, -i),
+ round((0.5 * 10 ^ i)::numeric, -i),
+ round((1.5 * 10 ^ i)::numeric, -i),
+ round((2.5 * 10 ^ i)::numeric, -i)
+FROM generate_series(-5,5) AS t(i);
+ pow | round | round | round | round | round | round
+-----+----------+----------+----------+---------+---------+---------
+ -5 | -0.00003 | -0.00002 | -0.00001 | 0.00001 | 0.00002 | 0.00003
+ -4 | -0.0003 | -0.0002 | -0.0001 | 0.0001 | 0.0002 | 0.0003
+ -3 | -0.003 | -0.002 | -0.001 | 0.001 | 0.002 | 0.003
+ -2 | -0.03 | -0.02 | -0.01 | 0.01 | 0.02 | 0.03
+ -1 | -0.3 | -0.2 | -0.1 | 0.1 | 0.2 | 0.3
+ 0 | -3 | -2 | -1 | 1 | 2 | 3
+ 1 | -30 | -20 | -10 | 10 | 20 | 30
+ 2 | -300 | -200 | -100 | 100 | 200 | 300
+ 3 | -3000 | -2000 | -1000 | 1000 | 2000 | 3000
+ 4 | -30000 | -20000 | -10000 | 10000 | 20000 | 30000
+ 5 | -300000 | -200000 | -100000 | 100000 | 200000 | 300000
+(11 rows)
+
-- Testing for width_bucket(). For convenience, we test both the
-- numeric and float8 versions of the function in this file.
-- errors
diff --git a/src/test/regress/sql/int2.sql b/src/test/regress/sql/int2.sql
index 5e9774e9227..7dbafb6dacc 100644
--- a/src/test/regress/sql/int2.sql
+++ b/src/test/regress/sql/int2.sql
@@ -102,3 +102,13 @@ FROM (VALUES (-2.5::float8),
(0.5::float8),
(1.5::float8),
(2.5::float8)) t(x);
+
+-- check rounding when casting from numeric
+SELECT x, x::int2 AS int2_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
diff --git a/src/test/regress/sql/int4.sql b/src/test/regress/sql/int4.sql
index d1881405252..f014cb2d325 100644
--- a/src/test/regress/sql/int4.sql
+++ b/src/test/regress/sql/int4.sql
@@ -145,3 +145,13 @@ FROM (VALUES (-2.5::float8),
(0.5::float8),
(1.5::float8),
(2.5::float8)) t(x);
+
+-- check rounding when casting from numeric
+SELECT x, x::int4 AS int4_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
diff --git a/src/test/regress/sql/int8.sql b/src/test/regress/sql/int8.sql
index 69723759fe3..e890452236f 100644
--- a/src/test/regress/sql/int8.sql
+++ b/src/test/regress/sql/int8.sql
@@ -215,3 +215,13 @@ FROM (VALUES (-2.5::float8),
(0.5::float8),
(1.5::float8),
(2.5::float8)) t(x);
+
+-- check rounding when casting from numeric
+SELECT x, x::int8 AS int8_value
+FROM (VALUES (-2.5::numeric),
+ (-1.5::numeric),
+ (-0.5::numeric),
+ (0.0::numeric),
+ (0.5::numeric),
+ (1.5::numeric),
+ (2.5::numeric)) t(x);
diff --git a/src/test/regress/sql/numeric.sql b/src/test/regress/sql/numeric.sql
index 1633e4c3752..982287c33ad 100644
--- a/src/test/regress/sql/numeric.sql
+++ b/src/test/regress/sql/numeric.sql
@@ -667,6 +667,16 @@ INSERT INTO ceil_floor_round VALUES ('-0.000001');
SELECT a, ceil(a), ceiling(a), floor(a), round(a) FROM ceil_floor_round;
DROP TABLE ceil_floor_round;
+-- Check rounding, it should round ties away from zero.
+SELECT i as pow,
+ round((-2.5 * 10 ^ i)::numeric, -i),
+ round((-1.5 * 10 ^ i)::numeric, -i),
+ round((-0.5 * 10 ^ i)::numeric, -i),
+ round((0.5 * 10 ^ i)::numeric, -i),
+ round((1.5 * 10 ^ i)::numeric, -i),
+ round((2.5 * 10 ^ i)::numeric, -i)
+FROM generate_series(-5,5) AS t(i);
+
-- Testing for width_bucket(). For convenience, we test both the
-- numeric and float8 versions of the function in this file.