mirror of https://github.com/postgres/postgres
of minus zero. Per Andrew Dunstan.REL8_0_STABLE
parent
e5f7a9f404
commit
ede8f4e311
@ -0,0 +1,396 @@ |
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-- |
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-- FLOAT8 |
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-- |
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CREATE TABLE FLOAT8_TBL(f1 float8); |
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INSERT INTO FLOAT8_TBL(f1) VALUES (' 0.0 '); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1004.30 '); |
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INSERT INTO FLOAT8_TBL(f1) VALUES (' -34.84'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e+200'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e-200'); |
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-- test for underflow and overflow handling |
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SELECT '10e400'::float8; |
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ERROR: "10e400" is out of range for type double precision |
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SELECT '-10e400'::float8; |
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ERROR: "-10e400" is out of range for type double precision |
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SELECT '10e-400'::float8; |
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float8 |
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-------- |
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0 |
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(1 row) |
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|
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SELECT '-10e-400'::float8; |
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float8 |
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-------- |
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0 |
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(1 row) |
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|
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-- bad input |
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INSERT INTO FLOAT8_TBL(f1) VALUES (' '); |
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ERROR: invalid input syntax for type double precision: " " |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz'); |
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ERROR: invalid input syntax for type double precision: "xyz" |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0'); |
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ERROR: invalid input syntax for type double precision: "5.0.0" |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0'); |
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ERROR: invalid input syntax for type double precision: "5 . 0" |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0'); |
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ERROR: invalid input syntax for type double precision: "5. 0" |
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INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3'); |
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ERROR: invalid input syntax for type double precision: " - 3" |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5'); |
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ERROR: invalid input syntax for type double precision: "123 5" |
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-- special inputs |
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SELECT 'NaN'::float8; |
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float8 |
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-------- |
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NaN |
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(1 row) |
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|
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SELECT 'nan'::float8; |
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float8 |
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-------- |
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NaN |
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(1 row) |
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|
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SELECT ' NAN '::float8; |
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float8 |
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-------- |
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NaN |
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(1 row) |
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|
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SELECT 'infinity'::float8; |
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float8 |
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---------- |
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Infinity |
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(1 row) |
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|
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SELECT ' -INFINiTY '::float8; |
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float8 |
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----------- |
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-Infinity |
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(1 row) |
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|
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-- bad special inputs |
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SELECT 'N A N'::float8; |
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ERROR: invalid input syntax for type double precision: "N A N" |
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SELECT 'NaN x'::float8; |
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ERROR: invalid input syntax for type double precision: "NaN x" |
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SELECT ' INFINITY x'::float8; |
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ERROR: invalid input syntax for type double precision: " INFINITY x" |
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SELECT 'Infinity'::float8 + 100.0; |
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ERROR: type "double precision" value out of range: overflow |
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SELECT 'Infinity'::float8 / 'Infinity'::float8; |
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?column? |
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---------- |
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NaN |
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(1 row) |
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|
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SELECT 'nan'::float8 / 'nan'::float8; |
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?column? |
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---------- |
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NaN |
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(1 row) |
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|
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SELECT '' AS five, FLOAT8_TBL.*; |
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five | f1 |
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------+---------------------- |
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| 0 |
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| 1004.3 |
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| -34.84 |
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| 1.2345678901234e+200 |
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| 1.2345678901234e-200 |
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(5 rows) |
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|
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3'; |
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four | f1 |
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------+---------------------- |
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| 0 |
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| -34.84 |
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| 1.2345678901234e+200 |
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| 1.2345678901234e-200 |
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(4 rows) |
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|
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SELECT '' AS one, f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3'; |
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one | f1 |
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-----+-------- |
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| 1004.3 |
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(1 row) |
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|
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SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1; |
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three | f1 |
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-------+---------------------- |
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| 0 |
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| -34.84 |
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| 1.2345678901234e-200 |
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(3 rows) |
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|
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SELECT '' AS three, f.* FROM FLOAT8_TBL f WHERE f.f1 < '1004.3'; |
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three | f1 |
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-------+---------------------- |
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| 0 |
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| -34.84 |
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| 1.2345678901234e-200 |
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(3 rows) |
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|
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1; |
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four | f1 |
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------+---------------------- |
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| 0 |
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| 1004.3 |
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| -34.84 |
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| 1.2345678901234e-200 |
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(4 rows) |
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|
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SELECT '' AS four, f.* FROM FLOAT8_TBL f WHERE f.f1 <= '1004.3'; |
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four | f1 |
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------+---------------------- |
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| 0 |
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| 1004.3 |
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| -34.84 |
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| 1.2345678901234e-200 |
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(4 rows) |
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|
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SELECT '' AS three, f.f1, f.f1 * '-10' AS x |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | x |
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-------+----------------------+----------------------- |
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| 1004.3 | -10043 |
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| 1.2345678901234e+200 | -1.2345678901234e+201 |
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| 1.2345678901234e-200 | -1.2345678901234e-199 |
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(3 rows) |
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|
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SELECT '' AS three, f.f1, f.f1 + '-10' AS x |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | x |
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-------+----------------------+---------------------- |
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| 1004.3 | 994.3 |
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| 1.2345678901234e+200 | 1.2345678901234e+200 |
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| 1.2345678901234e-200 | -10 |
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(3 rows) |
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|
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SELECT '' AS three, f.f1, f.f1 / '-10' AS x |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | x |
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-------+----------------------+----------------------- |
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| 1004.3 | -100.43 |
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| 1.2345678901234e+200 | -1.2345678901234e+199 |
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| 1.2345678901234e-200 | -1.2345678901234e-201 |
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(3 rows) |
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|
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SELECT '' AS three, f.f1, f.f1 - '-10' AS x |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | x |
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-------+----------------------+---------------------- |
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| 1004.3 | 1014.3 |
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| 1.2345678901234e+200 | 1.2345678901234e+200 |
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| 1.2345678901234e-200 | 10 |
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(3 rows) |
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|
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SELECT '' AS one, f.f1 ^ '2.0' AS square_f1 |
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FROM FLOAT8_TBL f where f.f1 = '1004.3'; |
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one | square_f1 |
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-----+------------ |
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| 1008618.49 |
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(1 row) |
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|
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-- absolute value |
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SELECT '' AS five, f.f1, @f.f1 AS abs_f1 |
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FROM FLOAT8_TBL f; |
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five | f1 | abs_f1 |
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------+----------------------+---------------------- |
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| 0 | 0 |
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| 1004.3 | 1004.3 |
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| -34.84 | 34.84 |
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| 1.2345678901234e+200 | 1.2345678901234e+200 |
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| 1.2345678901234e-200 | 1.2345678901234e-200 |
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(5 rows) |
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|
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-- truncate |
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SELECT '' AS five, f.f1, %f.f1 AS trunc_f1 |
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FROM FLOAT8_TBL f; |
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five | f1 | trunc_f1 |
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------+----------------------+---------------------- |
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| 0 | 0 |
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| 1004.3 | 1004 |
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| -34.84 | -34 |
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| 1.2345678901234e+200 | 1.2345678901234e+200 |
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| 1.2345678901234e-200 | 0 |
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(5 rows) |
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|
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-- round |
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SELECT '' AS five, f.f1, f.f1 % AS round_f1 |
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FROM FLOAT8_TBL f; |
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five | f1 | round_f1 |
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------+----------------------+---------------------- |
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| 0 | 0 |
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| 1004.3 | 1004 |
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| -34.84 | -35 |
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| 1.2345678901234e+200 | 1.2345678901234e+200 |
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| 1.2345678901234e-200 | 0 |
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(5 rows) |
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|
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-- ceil / ceiling |
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select ceil(f1) as ceil_f1 from float8_tbl f; |
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ceil_f1 |
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---------------------- |
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0 |
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1005 |
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-34 |
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1.2345678901234e+200 |
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1 |
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(5 rows) |
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|
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select ceiling(f1) as ceiling_f1 from float8_tbl f; |
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ceiling_f1 |
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---------------------- |
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0 |
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1005 |
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-34 |
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1.2345678901234e+200 |
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1 |
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(5 rows) |
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|
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-- floor |
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select floor(f1) as floor_f1 from float8_tbl f; |
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floor_f1 |
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---------------------- |
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0 |
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1004 |
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-35 |
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1.2345678901234e+200 |
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0 |
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(5 rows) |
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|
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-- sign |
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select sign(f1) as sign_f1 from float8_tbl f; |
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sign_f1 |
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--------- |
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0 |
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1 |
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-1 |
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1 |
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1 |
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(5 rows) |
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|
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-- square root |
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SELECT sqrt(float8 '64') AS eight; |
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eight |
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------- |
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8 |
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(1 row) |
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|
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SELECT |/ float8 '64' AS eight; |
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eight |
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------- |
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8 |
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(1 row) |
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|
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SELECT '' AS three, f.f1, |/f.f1 AS sqrt_f1 |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | sqrt_f1 |
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-------+----------------------+----------------------- |
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| 1004.3 | 31.6906926399535 |
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| 1.2345678901234e+200 | 1.11111110611109e+100 |
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| 1.2345678901234e-200 | 1.11111110611109e-100 |
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(3 rows) |
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|
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-- power |
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SELECT power(float8 '144', float8 '0.5'); |
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power |
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------- |
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12 |
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(1 row) |
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|
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-- take exp of ln(f.f1) |
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SELECT '' AS three, f.f1, exp(ln(f.f1)) AS exp_ln_f1 |
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FROM FLOAT8_TBL f |
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WHERE f.f1 > '0.0'; |
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three | f1 | exp_ln_f1 |
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-------+----------------------+----------------------- |
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| 1004.3 | 1004.3 |
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| 1.2345678901234e+200 | 1.23456789012338e+200 |
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| 1.2345678901234e-200 | 1.23456789012339e-200 |
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(3 rows) |
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|
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-- cube root |
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SELECT ||/ float8 '27' AS three; |
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three |
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------- |
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3 |
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(1 row) |
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|
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SELECT '' AS five, f.f1, ||/f.f1 AS cbrt_f1 FROM FLOAT8_TBL f; |
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five | f1 | cbrt_f1 |
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------+----------------------+---------------------- |
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| 0 | 0 |
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| 1004.3 | 10.014312837827 |
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| -34.84 | -3.26607421344208 |
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| 1.2345678901234e+200 | 4.97933859234765e+66 |
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| 1.2345678901234e-200 | 2.3112042409018e-67 |
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(5 rows) |
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|
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SELECT '' AS five, FLOAT8_TBL.*; |
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five | f1 |
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------+---------------------- |
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| 0 |
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| 1004.3 |
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| -34.84 |
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| 1.2345678901234e+200 |
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| 1.2345678901234e-200 |
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(5 rows) |
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|
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UPDATE FLOAT8_TBL |
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SET f1 = FLOAT8_TBL.f1 * '-1' |
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WHERE FLOAT8_TBL.f1 > '0.0'; |
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SELECT '' AS bad, f.f1 * '1e200' from FLOAT8_TBL f; |
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ERROR: type "double precision" value out of range: overflow |
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SELECT '' AS bad, f.f1 ^ '1e200' from FLOAT8_TBL f; |
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ERROR: result is out of range |
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SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 = '0.0' ; |
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ERROR: cannot take logarithm of zero |
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SELECT '' AS bad, ln(f.f1) from FLOAT8_TBL f where f.f1 < '0.0' ; |
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ERROR: cannot take logarithm of a negative number |
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SELECT '' AS bad, exp(f.f1) from FLOAT8_TBL f; |
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ERROR: result is out of range |
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SELECT '' AS bad, f.f1 / '0.0' from FLOAT8_TBL f; |
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ERROR: division by zero |
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SELECT '' AS five, FLOAT8_TBL.*; |
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five | f1 |
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------+----------------------- |
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| 0 |
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| -34.84 |
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| -1004.3 |
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| -1.2345678901234e+200 |
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| -1.2345678901234e-200 |
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(5 rows) |
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|
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-- test for over- and underflow |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400'); |
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ERROR: "10e400" is out of range for type double precision |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400'); |
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ERROR: "-10e400" is out of range for type double precision |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('10e-400'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e-400'); |
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-- maintain external table consistency across platforms |
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-- delete all values and reinsert well-behaved ones |
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DELETE FROM FLOAT8_TBL; |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('0.0'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-34.84'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1004.30'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e+200'); |
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INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e-200'); |
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SELECT '' AS five, FLOAT8_TBL.*; |
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five | f1 |
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------+----------------------- |
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| 0 |
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| -34.84 |
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| -1004.3 |
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| -1.2345678901234e+200 |
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| -1.2345678901234e-200 |
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(5 rows) |
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|
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