1445 lines
52 KiB
Plaintext
1445 lines
52 KiB
Plaintext
--
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-- FLOAT8
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--
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--
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-- Build a table for testing
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-- (This temporarily hides the table created in test_setup.sql)
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--
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CREATE TEMP 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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LINE 1: SELECT '10e400'::float8;
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^
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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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LINE 1: SELECT '-10e400'::float8;
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^
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SELECT '10e-400'::float8;
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ERROR: "10e-400" is out of range for type double precision
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LINE 1: SELECT '10e-400'::float8;
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^
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SELECT '-10e-400'::float8;
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ERROR: "-10e-400" is out of range for type double precision
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LINE 1: SELECT '-10e-400'::float8;
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^
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-- test smallest normalized input
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SELECT float8send('2.2250738585072014E-308'::float8);
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float8send
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--------------------
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\x0010000000000000
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(1 row)
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES (' ');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5. 0');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES (' - 3');
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^
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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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LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('123 5');
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^
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-- Also try it with non-error-throwing API
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SELECT pg_input_is_valid('34.5', 'float8');
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pg_input_is_valid
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-------------------
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t
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(1 row)
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SELECT pg_input_is_valid('xyz', 'float8');
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pg_input_is_valid
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-------------------
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f
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(1 row)
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SELECT pg_input_is_valid('1e4000', 'float8');
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pg_input_is_valid
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-------------------
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f
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(1 row)
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SELECT * FROM pg_input_error_info('1e4000', 'float8');
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message | detail | hint | sql_error_code
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----------------------------------------------------+--------+------+----------------
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"1e4000" is out of range for type double precision | | | 22003
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(1 row)
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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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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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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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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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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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-- 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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LINE 1: SELECT 'N A N'::float8;
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^
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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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LINE 1: SELECT 'NaN x'::float8;
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^
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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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LINE 1: SELECT ' INFINITY x'::float8;
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^
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SELECT 'Infinity'::float8 + 100.0;
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?column?
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----------
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Infinity
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(1 row)
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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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SELECT '42'::float8 / 'Infinity'::float8;
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?column?
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----------
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0
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(1 row)
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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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SELECT 'nan'::float8 / '0'::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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SELECT 'nan'::numeric::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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SELECT * FROM FLOAT8_TBL;
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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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SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3';
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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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SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3';
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f1
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--------
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1004.3
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(1 row)
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SELECT f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1;
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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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SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 < '1004.3';
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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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SELECT f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1;
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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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SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 <= '1004.3';
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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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SELECT 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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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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SELECT 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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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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SELECT 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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f1 | x
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----------------------+-----------------------
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1004.3 | -100.42999999999999
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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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SELECT 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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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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SELECT f.f1 ^ '2.0' AS square_f1
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FROM FLOAT8_TBL f where f.f1 = '1004.3';
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square_f1
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--------------------
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1008618.4899999999
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(1 row)
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-- absolute value
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SELECT f.f1, @f.f1 AS abs_f1
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FROM FLOAT8_TBL f;
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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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-- truncate
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SELECT f.f1, trunc(f.f1) AS trunc_f1
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FROM FLOAT8_TBL f;
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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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-- round
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SELECT f.f1, round(f.f1) AS round_f1
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FROM FLOAT8_TBL f;
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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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-- 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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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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-- 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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-- 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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-- avoid bit-exact output here because operations may not be bit-exact.
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SET extra_float_digits = 0;
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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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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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SELECT 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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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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-- 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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SELECT power(float8 'NaN', float8 '0.5');
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power
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-------
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NaN
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(1 row)
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SELECT power(float8 '144', float8 'NaN');
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power
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-------
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NaN
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(1 row)
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SELECT power(float8 'NaN', float8 'NaN');
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power
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-------
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NaN
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(1 row)
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SELECT power(float8 '-1', float8 'NaN');
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power
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-------
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NaN
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(1 row)
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SELECT power(float8 '1', float8 'NaN');
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power
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-------
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1
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(1 row)
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SELECT power(float8 'NaN', float8 '0');
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power
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-------
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1
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(1 row)
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SELECT power(float8 'inf', float8 '0');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '-inf', float8 '0');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '0', float8 'inf');
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power
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-------
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0
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(1 row)
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SELECT power(float8 '0', float8 '-inf');
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ERROR: zero raised to a negative power is undefined
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SELECT power(float8 '1', float8 'inf');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '1', float8 '-inf');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '-1', float8 'inf');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '-1', float8 '-inf');
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power
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-------
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1
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(1 row)
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SELECT power(float8 '0.1', float8 'inf');
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power
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-------
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0
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(1 row)
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SELECT power(float8 '-0.1', float8 'inf');
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power
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-------
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0
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(1 row)
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SELECT power(float8 '1.1', float8 'inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '-1.1', float8 'inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '0.1', float8 '-inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '-0.1', float8 '-inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '1.1', float8 '-inf');
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power
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-------
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0
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(1 row)
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SELECT power(float8 '-1.1', float8 '-inf');
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power
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-------
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0
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(1 row)
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SELECT power(float8 'inf', float8 '-2');
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power
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-------
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0
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(1 row)
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SELECT power(float8 'inf', float8 '2');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 'inf', float8 'inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 'inf', float8 '-inf');
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power
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-------
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0
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(1 row)
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-- Intel's icc misoptimizes the code that controls the sign of this result,
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-- even with -mp1. Pending a fix for that, only test for "is it zero".
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SELECT power(float8 '-inf', float8 '-2') = '0';
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?column?
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----------
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t
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(1 row)
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SELECT power(float8 '-inf', float8 '-3');
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power
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-------
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-0
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(1 row)
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SELECT power(float8 '-inf', float8 '2');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '-inf', float8 '3');
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power
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-----------
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-Infinity
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(1 row)
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SELECT power(float8 '-inf', float8 '3.5');
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ERROR: a negative number raised to a non-integer power yields a complex result
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SELECT power(float8 '-inf', float8 'inf');
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power
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----------
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Infinity
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(1 row)
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SELECT power(float8 '-inf', float8 '-inf');
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power
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-------
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0
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(1 row)
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-- take exp of ln(f.f1)
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SELECT 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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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
|
|
1.2345678901234e-200 | 1.23456789012339e-200
|
|
(3 rows)
|
|
|
|
-- check edge cases for exp
|
|
SELECT exp('inf'::float8), exp('-inf'::float8), exp('nan'::float8);
|
|
exp | exp | exp
|
|
----------+-----+-----
|
|
Infinity | 0 | NaN
|
|
(1 row)
|
|
|
|
-- cube root
|
|
SELECT ||/ float8 '27' AS three;
|
|
three
|
|
-------
|
|
3
|
|
(1 row)
|
|
|
|
SELECT f.f1, ||/f.f1 AS cbrt_f1 FROM FLOAT8_TBL f;
|
|
f1 | cbrt_f1
|
|
----------------------+----------------------
|
|
0 | 0
|
|
1004.3 | 10.014312837827
|
|
-34.84 | -3.26607421344208
|
|
1.2345678901234e+200 | 4.97933859234765e+66
|
|
1.2345678901234e-200 | 2.3112042409018e-67
|
|
(5 rows)
|
|
|
|
SELECT * FROM FLOAT8_TBL;
|
|
f1
|
|
----------------------
|
|
0
|
|
1004.3
|
|
-34.84
|
|
1.2345678901234e+200
|
|
1.2345678901234e-200
|
|
(5 rows)
|
|
|
|
UPDATE FLOAT8_TBL
|
|
SET f1 = FLOAT8_TBL.f1 * '-1'
|
|
WHERE FLOAT8_TBL.f1 > '0.0';
|
|
SELECT f.f1 * '1e200' from FLOAT8_TBL f;
|
|
ERROR: value out of range: overflow
|
|
SELECT f.f1 ^ '1e200' from FLOAT8_TBL f;
|
|
ERROR: value out of range: overflow
|
|
SELECT 0 ^ 0 + 0 ^ 1 + 0 ^ 0.0 + 0 ^ 0.5;
|
|
?column?
|
|
----------
|
|
2
|
|
(1 row)
|
|
|
|
SELECT ln(f.f1) from FLOAT8_TBL f where f.f1 = '0.0' ;
|
|
ERROR: cannot take logarithm of zero
|
|
SELECT ln(f.f1) from FLOAT8_TBL f where f.f1 < '0.0' ;
|
|
ERROR: cannot take logarithm of a negative number
|
|
SELECT exp(f.f1) from FLOAT8_TBL f;
|
|
ERROR: value out of range: underflow
|
|
SELECT f.f1 / '0.0' from FLOAT8_TBL f;
|
|
ERROR: division by zero
|
|
SELECT * FROM FLOAT8_TBL;
|
|
f1
|
|
-----------------------
|
|
0
|
|
-34.84
|
|
-1004.3
|
|
-1.2345678901234e+200
|
|
-1.2345678901234e-200
|
|
(5 rows)
|
|
|
|
-- hyperbolic functions
|
|
-- we run these with extra_float_digits = 0 too, since different platforms
|
|
-- tend to produce results that vary in the last place.
|
|
SELECT sinh(float8 '1');
|
|
sinh
|
|
-----------------
|
|
1.1752011936438
|
|
(1 row)
|
|
|
|
SELECT cosh(float8 '1');
|
|
cosh
|
|
------------------
|
|
1.54308063481524
|
|
(1 row)
|
|
|
|
SELECT tanh(float8 '1');
|
|
tanh
|
|
-------------------
|
|
0.761594155955765
|
|
(1 row)
|
|
|
|
SELECT asinh(float8 '1');
|
|
asinh
|
|
-------------------
|
|
0.881373587019543
|
|
(1 row)
|
|
|
|
SELECT acosh(float8 '2');
|
|
acosh
|
|
------------------
|
|
1.31695789692482
|
|
(1 row)
|
|
|
|
SELECT atanh(float8 '0.5');
|
|
atanh
|
|
-------------------
|
|
0.549306144334055
|
|
(1 row)
|
|
|
|
-- test Inf/NaN cases for hyperbolic functions
|
|
SELECT sinh(float8 'infinity');
|
|
sinh
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT sinh(float8 '-infinity');
|
|
sinh
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT sinh(float8 'nan');
|
|
sinh
|
|
------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT cosh(float8 'infinity');
|
|
cosh
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT cosh(float8 '-infinity');
|
|
cosh
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT cosh(float8 'nan');
|
|
cosh
|
|
------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT tanh(float8 'infinity');
|
|
tanh
|
|
------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT tanh(float8 '-infinity');
|
|
tanh
|
|
------
|
|
-1
|
|
(1 row)
|
|
|
|
SELECT tanh(float8 'nan');
|
|
tanh
|
|
------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT asinh(float8 'infinity');
|
|
asinh
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT asinh(float8 '-infinity');
|
|
asinh
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT asinh(float8 'nan');
|
|
asinh
|
|
-------
|
|
NaN
|
|
(1 row)
|
|
|
|
-- acosh(Inf) should be Inf, but some mingw versions produce NaN, so skip test
|
|
-- SELECT acosh(float8 'infinity');
|
|
SELECT acosh(float8 '-infinity');
|
|
ERROR: input is out of range
|
|
SELECT acosh(float8 'nan');
|
|
acosh
|
|
-------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT atanh(float8 'infinity');
|
|
ERROR: input is out of range
|
|
SELECT atanh(float8 '-infinity');
|
|
ERROR: input is out of range
|
|
SELECT atanh(float8 'nan');
|
|
atanh
|
|
-------
|
|
NaN
|
|
(1 row)
|
|
|
|
-- error functions
|
|
-- we run these with extra_float_digits = -1, to get consistently rounded
|
|
-- results on all platforms.
|
|
SET extra_float_digits = -1;
|
|
SELECT x,
|
|
erf(x),
|
|
erfc(x)
|
|
FROM (VALUES (float8 '-infinity'),
|
|
(-28), (-6), (-3.4), (-2.1), (-1.1), (-0.45),
|
|
(-1.2e-9), (-2.3e-13), (-1.2e-17), (0),
|
|
(1.2e-17), (2.3e-13), (1.2e-9),
|
|
(0.45), (1.1), (2.1), (3.4), (6), (28),
|
|
(float8 'infinity'), (float8 'nan')) AS t(x);
|
|
x | erf | erfc
|
|
-----------+----------------------+---------------------
|
|
-Infinity | -1 | 2
|
|
-28 | -1 | 2
|
|
-6 | -1 | 2
|
|
-3.4 | -0.99999847800664 | 1.9999984780066
|
|
-2.1 | -0.99702053334367 | 1.9970205333437
|
|
-1.1 | -0.88020506957408 | 1.8802050695741
|
|
-0.45 | -0.47548171978692 | 1.4754817197869
|
|
-1.2e-09 | -1.3540550005146e-09 | 1.0000000013541
|
|
-2.3e-13 | -2.5952720843197e-13 | 1.0000000000003
|
|
-1.2e-17 | -1.3540550005146e-17 | 1
|
|
0 | 0 | 1
|
|
1.2e-17 | 1.3540550005146e-17 | 1
|
|
2.3e-13 | 2.5952720843197e-13 | 0.99999999999974
|
|
1.2e-09 | 1.3540550005146e-09 | 0.99999999864595
|
|
0.45 | 0.47548171978692 | 0.52451828021308
|
|
1.1 | 0.88020506957408 | 0.11979493042592
|
|
2.1 | 0.99702053334367 | 0.002979466656333
|
|
3.4 | 0.99999847800664 | 1.5219933628623e-06
|
|
6 | 1 | 2.1519736712499e-17
|
|
28 | 1 | 0
|
|
Infinity | 1 | 0
|
|
NaN | NaN | NaN
|
|
(22 rows)
|
|
|
|
RESET extra_float_digits;
|
|
-- test for over- and underflow
|
|
INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
|
|
ERROR: "10e400" is out of range for type double precision
|
|
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('10e400');
|
|
^
|
|
INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400');
|
|
ERROR: "-10e400" is out of range for type double precision
|
|
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e400');
|
|
^
|
|
INSERT INTO FLOAT8_TBL(f1) VALUES ('10e-400');
|
|
ERROR: "10e-400" is out of range for type double precision
|
|
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('10e-400');
|
|
^
|
|
INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e-400');
|
|
ERROR: "-10e-400" is out of range for type double precision
|
|
LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('-10e-400');
|
|
^
|
|
DROP TABLE FLOAT8_TBL;
|
|
-- Check the float8 values exported for use by other tests
|
|
SELECT * FROM FLOAT8_TBL;
|
|
f1
|
|
-----------------------
|
|
0
|
|
-34.84
|
|
-1004.3
|
|
-1.2345678901234e+200
|
|
-1.2345678901234e-200
|
|
(5 rows)
|
|
|
|
-- test edge-case coercions to integer
|
|
SELECT '32767.4'::float8::int2;
|
|
int2
|
|
-------
|
|
32767
|
|
(1 row)
|
|
|
|
SELECT '32767.6'::float8::int2;
|
|
ERROR: smallint out of range
|
|
SELECT '-32768.4'::float8::int2;
|
|
int2
|
|
--------
|
|
-32768
|
|
(1 row)
|
|
|
|
SELECT '-32768.6'::float8::int2;
|
|
ERROR: smallint out of range
|
|
SELECT '2147483647.4'::float8::int4;
|
|
int4
|
|
------------
|
|
2147483647
|
|
(1 row)
|
|
|
|
SELECT '2147483647.6'::float8::int4;
|
|
ERROR: integer out of range
|
|
SELECT '-2147483648.4'::float8::int4;
|
|
int4
|
|
-------------
|
|
-2147483648
|
|
(1 row)
|
|
|
|
SELECT '-2147483648.6'::float8::int4;
|
|
ERROR: integer out of range
|
|
SELECT '9223372036854773760'::float8::int8;
|
|
int8
|
|
---------------------
|
|
9223372036854773760
|
|
(1 row)
|
|
|
|
SELECT '9223372036854775807'::float8::int8;
|
|
ERROR: bigint out of range
|
|
SELECT '-9223372036854775808.5'::float8::int8;
|
|
int8
|
|
----------------------
|
|
-9223372036854775808
|
|
(1 row)
|
|
|
|
SELECT '-9223372036854780000'::float8::int8;
|
|
ERROR: bigint out of range
|
|
-- test exact cases for trigonometric functions in degrees
|
|
SELECT x,
|
|
sind(x),
|
|
sind(x) IN (-1,-0.5,0,0.5,1) AS sind_exact
|
|
FROM (VALUES (0), (30), (90), (150), (180),
|
|
(210), (270), (330), (360)) AS t(x);
|
|
x | sind | sind_exact
|
|
-----+------+------------
|
|
0 | 0 | t
|
|
30 | 0.5 | t
|
|
90 | 1 | t
|
|
150 | 0.5 | t
|
|
180 | 0 | t
|
|
210 | -0.5 | t
|
|
270 | -1 | t
|
|
330 | -0.5 | t
|
|
360 | 0 | t
|
|
(9 rows)
|
|
|
|
SELECT x,
|
|
cosd(x),
|
|
cosd(x) IN (-1,-0.5,0,0.5,1) AS cosd_exact
|
|
FROM (VALUES (0), (60), (90), (120), (180),
|
|
(240), (270), (300), (360)) AS t(x);
|
|
x | cosd | cosd_exact
|
|
-----+------+------------
|
|
0 | 1 | t
|
|
60 | 0.5 | t
|
|
90 | 0 | t
|
|
120 | -0.5 | t
|
|
180 | -1 | t
|
|
240 | -0.5 | t
|
|
270 | 0 | t
|
|
300 | 0.5 | t
|
|
360 | 1 | t
|
|
(9 rows)
|
|
|
|
SELECT x,
|
|
tand(x),
|
|
tand(x) IN ('-Infinity'::float8,-1,0,
|
|
1,'Infinity'::float8) AS tand_exact,
|
|
cotd(x),
|
|
cotd(x) IN ('-Infinity'::float8,-1,0,
|
|
1,'Infinity'::float8) AS cotd_exact
|
|
FROM (VALUES (0), (45), (90), (135), (180),
|
|
(225), (270), (315), (360)) AS t(x);
|
|
x | tand | tand_exact | cotd | cotd_exact
|
|
-----+-----------+------------+-----------+------------
|
|
0 | 0 | t | Infinity | t
|
|
45 | 1 | t | 1 | t
|
|
90 | Infinity | t | 0 | t
|
|
135 | -1 | t | -1 | t
|
|
180 | 0 | t | -Infinity | t
|
|
225 | 1 | t | 1 | t
|
|
270 | -Infinity | t | 0 | t
|
|
315 | -1 | t | -1 | t
|
|
360 | 0 | t | Infinity | t
|
|
(9 rows)
|
|
|
|
SELECT x,
|
|
asind(x),
|
|
asind(x) IN (-90,-30,0,30,90) AS asind_exact,
|
|
acosd(x),
|
|
acosd(x) IN (0,60,90,120,180) AS acosd_exact
|
|
FROM (VALUES (-1), (-0.5), (0), (0.5), (1)) AS t(x);
|
|
x | asind | asind_exact | acosd | acosd_exact
|
|
------+-------+-------------+-------+-------------
|
|
-1 | -90 | t | 180 | t
|
|
-0.5 | -30 | t | 120 | t
|
|
0 | 0 | t | 90 | t
|
|
0.5 | 30 | t | 60 | t
|
|
1 | 90 | t | 0 | t
|
|
(5 rows)
|
|
|
|
SELECT x,
|
|
atand(x),
|
|
atand(x) IN (-90,-45,0,45,90) AS atand_exact
|
|
FROM (VALUES ('-Infinity'::float8), (-1), (0), (1),
|
|
('Infinity'::float8)) AS t(x);
|
|
x | atand | atand_exact
|
|
-----------+-------+-------------
|
|
-Infinity | -90 | t
|
|
-1 | -45 | t
|
|
0 | 0 | t
|
|
1 | 45 | t
|
|
Infinity | 90 | t
|
|
(5 rows)
|
|
|
|
SELECT x, y,
|
|
atan2d(y, x),
|
|
atan2d(y, x) IN (-90,0,90,180) AS atan2d_exact
|
|
FROM (SELECT 10*cosd(a), 10*sind(a)
|
|
FROM generate_series(0, 360, 90) AS t(a)) AS t(x,y);
|
|
x | y | atan2d | atan2d_exact
|
|
-----+-----+--------+--------------
|
|
10 | 0 | 0 | t
|
|
0 | 10 | 90 | t
|
|
-10 | 0 | 180 | t
|
|
0 | -10 | -90 | t
|
|
10 | 0 | 0 | t
|
|
(5 rows)
|
|
|
|
--
|
|
-- test output (and round-trip safety) of various values.
|
|
-- To ensure we're testing what we think we're testing, start with
|
|
-- float values specified by bit patterns (as a useful side effect,
|
|
-- this means we'll fail on non-IEEE platforms).
|
|
create type xfloat8;
|
|
create function xfloat8in(cstring) returns xfloat8 immutable strict
|
|
language internal as 'int8in';
|
|
NOTICE: return type xfloat8 is only a shell
|
|
create function xfloat8out(xfloat8) returns cstring immutable strict
|
|
language internal as 'int8out';
|
|
NOTICE: argument type xfloat8 is only a shell
|
|
create type xfloat8 (input = xfloat8in, output = xfloat8out, like = float8);
|
|
create cast (xfloat8 as float8) without function;
|
|
create cast (float8 as xfloat8) without function;
|
|
create cast (xfloat8 as bigint) without function;
|
|
create cast (bigint as xfloat8) without function;
|
|
-- float8: seeeeeee eeeeeeee eeeeeeee mmmmmmmm mmmmmmmm(x4)
|
|
-- we don't care to assume the platform's strtod() handles subnormals
|
|
-- correctly; those are "use at your own risk". However we do test
|
|
-- subnormal outputs, since those are under our control.
|
|
with testdata(bits) as (values
|
|
-- small subnormals
|
|
(x'0000000000000001'),
|
|
(x'0000000000000002'), (x'0000000000000003'),
|
|
(x'0000000000001000'), (x'0000000100000000'),
|
|
(x'0000010000000000'), (x'0000010100000000'),
|
|
(x'0000400000000000'), (x'0000400100000000'),
|
|
(x'0000800000000000'), (x'0000800000000001'),
|
|
-- these values taken from upstream testsuite
|
|
(x'00000000000f4240'),
|
|
(x'00000000016e3600'),
|
|
(x'0000008cdcdea440'),
|
|
-- borderline between subnormal and normal
|
|
(x'000ffffffffffff0'), (x'000ffffffffffff1'),
|
|
(x'000ffffffffffffe'), (x'000fffffffffffff'))
|
|
select float8send(flt) as ibits,
|
|
flt
|
|
from (select bits::bigint::xfloat8::float8 as flt
|
|
from testdata
|
|
offset 0) s;
|
|
ibits | flt
|
|
--------------------+-------------------------
|
|
\x0000000000000001 | 5e-324
|
|
\x0000000000000002 | 1e-323
|
|
\x0000000000000003 | 1.5e-323
|
|
\x0000000000001000 | 2.0237e-320
|
|
\x0000000100000000 | 2.121995791e-314
|
|
\x0000010000000000 | 5.43230922487e-312
|
|
\x0000010100000000 | 5.45352918278e-312
|
|
\x0000400000000000 | 3.4766779039175e-310
|
|
\x0000400100000000 | 3.4768901034966e-310
|
|
\x0000800000000000 | 6.953355807835e-310
|
|
\x0000800000000001 | 6.95335580783505e-310
|
|
\x00000000000f4240 | 4.940656e-318
|
|
\x00000000016e3600 | 1.18575755e-316
|
|
\x0000008cdcdea440 | 2.989102097996e-312
|
|
\x000ffffffffffff0 | 2.2250738585071935e-308
|
|
\x000ffffffffffff1 | 2.225073858507194e-308
|
|
\x000ffffffffffffe | 2.2250738585072004e-308
|
|
\x000fffffffffffff | 2.225073858507201e-308
|
|
(18 rows)
|
|
|
|
-- round-trip tests
|
|
with testdata(bits) as (values
|
|
(x'0000000000000000'),
|
|
-- smallest normal values
|
|
(x'0010000000000000'), (x'0010000000000001'),
|
|
(x'0010000000000002'), (x'0018000000000000'),
|
|
--
|
|
(x'3ddb7cdfd9d7bdba'), (x'3ddb7cdfd9d7bdbb'), (x'3ddb7cdfd9d7bdbc'),
|
|
(x'3e112e0be826d694'), (x'3e112e0be826d695'), (x'3e112e0be826d696'),
|
|
(x'3e45798ee2308c39'), (x'3e45798ee2308c3a'), (x'3e45798ee2308c3b'),
|
|
(x'3e7ad7f29abcaf47'), (x'3e7ad7f29abcaf48'), (x'3e7ad7f29abcaf49'),
|
|
(x'3eb0c6f7a0b5ed8c'), (x'3eb0c6f7a0b5ed8d'), (x'3eb0c6f7a0b5ed8e'),
|
|
(x'3ee4f8b588e368ef'), (x'3ee4f8b588e368f0'), (x'3ee4f8b588e368f1'),
|
|
(x'3f1a36e2eb1c432c'), (x'3f1a36e2eb1c432d'), (x'3f1a36e2eb1c432e'),
|
|
(x'3f50624dd2f1a9fb'), (x'3f50624dd2f1a9fc'), (x'3f50624dd2f1a9fd'),
|
|
(x'3f847ae147ae147a'), (x'3f847ae147ae147b'), (x'3f847ae147ae147c'),
|
|
(x'3fb9999999999999'), (x'3fb999999999999a'), (x'3fb999999999999b'),
|
|
-- values very close to 1
|
|
(x'3feffffffffffff0'), (x'3feffffffffffff1'), (x'3feffffffffffff2'),
|
|
(x'3feffffffffffff3'), (x'3feffffffffffff4'), (x'3feffffffffffff5'),
|
|
(x'3feffffffffffff6'), (x'3feffffffffffff7'), (x'3feffffffffffff8'),
|
|
(x'3feffffffffffff9'), (x'3feffffffffffffa'), (x'3feffffffffffffb'),
|
|
(x'3feffffffffffffc'), (x'3feffffffffffffd'), (x'3feffffffffffffe'),
|
|
(x'3fefffffffffffff'),
|
|
(x'3ff0000000000000'),
|
|
(x'3ff0000000000001'), (x'3ff0000000000002'), (x'3ff0000000000003'),
|
|
(x'3ff0000000000004'), (x'3ff0000000000005'), (x'3ff0000000000006'),
|
|
(x'3ff0000000000007'), (x'3ff0000000000008'), (x'3ff0000000000009'),
|
|
--
|
|
(x'3ff921fb54442d18'),
|
|
(x'4005bf0a8b14576a'),
|
|
(x'400921fb54442d18'),
|
|
--
|
|
(x'4023ffffffffffff'), (x'4024000000000000'), (x'4024000000000001'),
|
|
(x'4058ffffffffffff'), (x'4059000000000000'), (x'4059000000000001'),
|
|
(x'408f3fffffffffff'), (x'408f400000000000'), (x'408f400000000001'),
|
|
(x'40c387ffffffffff'), (x'40c3880000000000'), (x'40c3880000000001'),
|
|
(x'40f869ffffffffff'), (x'40f86a0000000000'), (x'40f86a0000000001'),
|
|
(x'412e847fffffffff'), (x'412e848000000000'), (x'412e848000000001'),
|
|
(x'416312cfffffffff'), (x'416312d000000000'), (x'416312d000000001'),
|
|
(x'4197d783ffffffff'), (x'4197d78400000000'), (x'4197d78400000001'),
|
|
(x'41cdcd64ffffffff'), (x'41cdcd6500000000'), (x'41cdcd6500000001'),
|
|
(x'4202a05f1fffffff'), (x'4202a05f20000000'), (x'4202a05f20000001'),
|
|
(x'42374876e7ffffff'), (x'42374876e8000000'), (x'42374876e8000001'),
|
|
(x'426d1a94a1ffffff'), (x'426d1a94a2000000'), (x'426d1a94a2000001'),
|
|
(x'42a2309ce53fffff'), (x'42a2309ce5400000'), (x'42a2309ce5400001'),
|
|
(x'42d6bcc41e8fffff'), (x'42d6bcc41e900000'), (x'42d6bcc41e900001'),
|
|
(x'430c6bf52633ffff'), (x'430c6bf526340000'), (x'430c6bf526340001'),
|
|
(x'4341c37937e07fff'), (x'4341c37937e08000'), (x'4341c37937e08001'),
|
|
(x'4376345785d89fff'), (x'4376345785d8a000'), (x'4376345785d8a001'),
|
|
(x'43abc16d674ec7ff'), (x'43abc16d674ec800'), (x'43abc16d674ec801'),
|
|
(x'43e158e460913cff'), (x'43e158e460913d00'), (x'43e158e460913d01'),
|
|
(x'4415af1d78b58c3f'), (x'4415af1d78b58c40'), (x'4415af1d78b58c41'),
|
|
(x'444b1ae4d6e2ef4f'), (x'444b1ae4d6e2ef50'), (x'444b1ae4d6e2ef51'),
|
|
(x'4480f0cf064dd591'), (x'4480f0cf064dd592'), (x'4480f0cf064dd593'),
|
|
(x'44b52d02c7e14af5'), (x'44b52d02c7e14af6'), (x'44b52d02c7e14af7'),
|
|
(x'44ea784379d99db3'), (x'44ea784379d99db4'), (x'44ea784379d99db5'),
|
|
(x'45208b2a2c280290'), (x'45208b2a2c280291'), (x'45208b2a2c280292'),
|
|
--
|
|
(x'7feffffffffffffe'), (x'7fefffffffffffff'),
|
|
-- round to even tests (+ve)
|
|
(x'4350000000000002'),
|
|
(x'4350000000002e06'),
|
|
(x'4352000000000003'),
|
|
(x'4352000000000004'),
|
|
(x'4358000000000003'),
|
|
(x'4358000000000004'),
|
|
(x'435f000000000020'),
|
|
-- round to even tests (-ve)
|
|
(x'c350000000000002'),
|
|
(x'c350000000002e06'),
|
|
(x'c352000000000003'),
|
|
(x'c352000000000004'),
|
|
(x'c358000000000003'),
|
|
(x'c358000000000004'),
|
|
(x'c35f000000000020'),
|
|
-- exercise fixed-point memmoves
|
|
(x'42dc12218377de66'),
|
|
(x'42a674e79c5fe51f'),
|
|
(x'4271f71fb04cb74c'),
|
|
(x'423cbe991a145879'),
|
|
(x'4206fee0e1a9e061'),
|
|
(x'41d26580b487e6b4'),
|
|
(x'419d6f34540ca453'),
|
|
(x'41678c29dcd6e9dc'),
|
|
(x'4132d687e3df217d'),
|
|
(x'40fe240c9fcb68c8'),
|
|
(x'40c81cd6e63c53d3'),
|
|
(x'40934a4584fd0fdc'),
|
|
(x'405edd3c07fb4c93'),
|
|
(x'4028b0fcd32f7076'),
|
|
(x'3ff3c0ca428c59f8'),
|
|
-- these cases come from the upstream's testsuite
|
|
-- LotsOfTrailingZeros)
|
|
(x'3e60000000000000'),
|
|
-- Regression
|
|
(x'c352bd2668e077c4'),
|
|
(x'434018601510c000'),
|
|
(x'43d055dc36f24000'),
|
|
(x'43e052961c6f8000'),
|
|
(x'3ff3c0ca2a5b1d5d'),
|
|
-- LooksLikePow5
|
|
(x'4830f0cf064dd592'),
|
|
(x'4840f0cf064dd592'),
|
|
(x'4850f0cf064dd592'),
|
|
-- OutputLength
|
|
(x'3ff3333333333333'),
|
|
(x'3ff3ae147ae147ae'),
|
|
(x'3ff3be76c8b43958'),
|
|
(x'3ff3c083126e978d'),
|
|
(x'3ff3c0c1fc8f3238'),
|
|
(x'3ff3c0c9539b8887'),
|
|
(x'3ff3c0ca2a5b1d5d'),
|
|
(x'3ff3c0ca4283de1b'),
|
|
(x'3ff3c0ca43db770a'),
|
|
(x'3ff3c0ca428abd53'),
|
|
(x'3ff3c0ca428c1d2b'),
|
|
(x'3ff3c0ca428c51f2'),
|
|
(x'3ff3c0ca428c58fc'),
|
|
(x'3ff3c0ca428c59dd'),
|
|
(x'3ff3c0ca428c59f8'),
|
|
(x'3ff3c0ca428c59fb'),
|
|
-- 32-bit chunking
|
|
(x'40112e0be8047a7d'),
|
|
(x'40112e0be815a889'),
|
|
(x'40112e0be826d695'),
|
|
(x'40112e0be83804a1'),
|
|
(x'40112e0be84932ad'),
|
|
-- MinMaxShift
|
|
(x'0040000000000000'),
|
|
(x'007fffffffffffff'),
|
|
(x'0290000000000000'),
|
|
(x'029fffffffffffff'),
|
|
(x'4350000000000000'),
|
|
(x'435fffffffffffff'),
|
|
(x'1330000000000000'),
|
|
(x'133fffffffffffff'),
|
|
(x'3a6fa7161a4d6e0c')
|
|
)
|
|
select float8send(flt) as ibits,
|
|
flt,
|
|
flt::text::float8 as r_flt,
|
|
float8send(flt::text::float8) as obits,
|
|
float8send(flt::text::float8) = float8send(flt) as correct
|
|
from (select bits::bigint::xfloat8::float8 as flt
|
|
from testdata
|
|
offset 0) s;
|
|
ibits | flt | r_flt | obits | correct
|
|
--------------------+-------------------------+-------------------------+--------------------+---------
|
|
\x0000000000000000 | 0 | 0 | \x0000000000000000 | t
|
|
\x0010000000000000 | 2.2250738585072014e-308 | 2.2250738585072014e-308 | \x0010000000000000 | t
|
|
\x0010000000000001 | 2.225073858507202e-308 | 2.225073858507202e-308 | \x0010000000000001 | t
|
|
\x0010000000000002 | 2.2250738585072024e-308 | 2.2250738585072024e-308 | \x0010000000000002 | t
|
|
\x0018000000000000 | 3.337610787760802e-308 | 3.337610787760802e-308 | \x0018000000000000 | t
|
|
\x3ddb7cdfd9d7bdba | 9.999999999999999e-11 | 9.999999999999999e-11 | \x3ddb7cdfd9d7bdba | t
|
|
\x3ddb7cdfd9d7bdbb | 1e-10 | 1e-10 | \x3ddb7cdfd9d7bdbb | t
|
|
\x3ddb7cdfd9d7bdbc | 1.0000000000000002e-10 | 1.0000000000000002e-10 | \x3ddb7cdfd9d7bdbc | t
|
|
\x3e112e0be826d694 | 9.999999999999999e-10 | 9.999999999999999e-10 | \x3e112e0be826d694 | t
|
|
\x3e112e0be826d695 | 1e-09 | 1e-09 | \x3e112e0be826d695 | t
|
|
\x3e112e0be826d696 | 1.0000000000000003e-09 | 1.0000000000000003e-09 | \x3e112e0be826d696 | t
|
|
\x3e45798ee2308c39 | 9.999999999999999e-09 | 9.999999999999999e-09 | \x3e45798ee2308c39 | t
|
|
\x3e45798ee2308c3a | 1e-08 | 1e-08 | \x3e45798ee2308c3a | t
|
|
\x3e45798ee2308c3b | 1.0000000000000002e-08 | 1.0000000000000002e-08 | \x3e45798ee2308c3b | t
|
|
\x3e7ad7f29abcaf47 | 9.999999999999998e-08 | 9.999999999999998e-08 | \x3e7ad7f29abcaf47 | t
|
|
\x3e7ad7f29abcaf48 | 1e-07 | 1e-07 | \x3e7ad7f29abcaf48 | t
|
|
\x3e7ad7f29abcaf49 | 1.0000000000000001e-07 | 1.0000000000000001e-07 | \x3e7ad7f29abcaf49 | t
|
|
\x3eb0c6f7a0b5ed8c | 9.999999999999997e-07 | 9.999999999999997e-07 | \x3eb0c6f7a0b5ed8c | t
|
|
\x3eb0c6f7a0b5ed8d | 1e-06 | 1e-06 | \x3eb0c6f7a0b5ed8d | t
|
|
\x3eb0c6f7a0b5ed8e | 1.0000000000000002e-06 | 1.0000000000000002e-06 | \x3eb0c6f7a0b5ed8e | t
|
|
\x3ee4f8b588e368ef | 9.999999999999997e-06 | 9.999999999999997e-06 | \x3ee4f8b588e368ef | t
|
|
\x3ee4f8b588e368f0 | 9.999999999999999e-06 | 9.999999999999999e-06 | \x3ee4f8b588e368f0 | t
|
|
\x3ee4f8b588e368f1 | 1e-05 | 1e-05 | \x3ee4f8b588e368f1 | t
|
|
\x3f1a36e2eb1c432c | 9.999999999999999e-05 | 9.999999999999999e-05 | \x3f1a36e2eb1c432c | t
|
|
\x3f1a36e2eb1c432d | 0.0001 | 0.0001 | \x3f1a36e2eb1c432d | t
|
|
\x3f1a36e2eb1c432e | 0.00010000000000000002 | 0.00010000000000000002 | \x3f1a36e2eb1c432e | t
|
|
\x3f50624dd2f1a9fb | 0.0009999999999999998 | 0.0009999999999999998 | \x3f50624dd2f1a9fb | t
|
|
\x3f50624dd2f1a9fc | 0.001 | 0.001 | \x3f50624dd2f1a9fc | t
|
|
\x3f50624dd2f1a9fd | 0.0010000000000000002 | 0.0010000000000000002 | \x3f50624dd2f1a9fd | t
|
|
\x3f847ae147ae147a | 0.009999999999999998 | 0.009999999999999998 | \x3f847ae147ae147a | t
|
|
\x3f847ae147ae147b | 0.01 | 0.01 | \x3f847ae147ae147b | t
|
|
\x3f847ae147ae147c | 0.010000000000000002 | 0.010000000000000002 | \x3f847ae147ae147c | t
|
|
\x3fb9999999999999 | 0.09999999999999999 | 0.09999999999999999 | \x3fb9999999999999 | t
|
|
\x3fb999999999999a | 0.1 | 0.1 | \x3fb999999999999a | t
|
|
\x3fb999999999999b | 0.10000000000000002 | 0.10000000000000002 | \x3fb999999999999b | t
|
|
\x3feffffffffffff0 | 0.9999999999999982 | 0.9999999999999982 | \x3feffffffffffff0 | t
|
|
\x3feffffffffffff1 | 0.9999999999999983 | 0.9999999999999983 | \x3feffffffffffff1 | t
|
|
\x3feffffffffffff2 | 0.9999999999999984 | 0.9999999999999984 | \x3feffffffffffff2 | t
|
|
\x3feffffffffffff3 | 0.9999999999999986 | 0.9999999999999986 | \x3feffffffffffff3 | t
|
|
\x3feffffffffffff4 | 0.9999999999999987 | 0.9999999999999987 | \x3feffffffffffff4 | t
|
|
\x3feffffffffffff5 | 0.9999999999999988 | 0.9999999999999988 | \x3feffffffffffff5 | t
|
|
\x3feffffffffffff6 | 0.9999999999999989 | 0.9999999999999989 | \x3feffffffffffff6 | t
|
|
\x3feffffffffffff7 | 0.999999999999999 | 0.999999999999999 | \x3feffffffffffff7 | t
|
|
\x3feffffffffffff8 | 0.9999999999999991 | 0.9999999999999991 | \x3feffffffffffff8 | t
|
|
\x3feffffffffffff9 | 0.9999999999999992 | 0.9999999999999992 | \x3feffffffffffff9 | t
|
|
\x3feffffffffffffa | 0.9999999999999993 | 0.9999999999999993 | \x3feffffffffffffa | t
|
|
\x3feffffffffffffb | 0.9999999999999994 | 0.9999999999999994 | \x3feffffffffffffb | t
|
|
\x3feffffffffffffc | 0.9999999999999996 | 0.9999999999999996 | \x3feffffffffffffc | t
|
|
\x3feffffffffffffd | 0.9999999999999997 | 0.9999999999999997 | \x3feffffffffffffd | t
|
|
\x3feffffffffffffe | 0.9999999999999998 | 0.9999999999999998 | \x3feffffffffffffe | t
|
|
\x3fefffffffffffff | 0.9999999999999999 | 0.9999999999999999 | \x3fefffffffffffff | t
|
|
\x3ff0000000000000 | 1 | 1 | \x3ff0000000000000 | t
|
|
\x3ff0000000000001 | 1.0000000000000002 | 1.0000000000000002 | \x3ff0000000000001 | t
|
|
\x3ff0000000000002 | 1.0000000000000004 | 1.0000000000000004 | \x3ff0000000000002 | t
|
|
\x3ff0000000000003 | 1.0000000000000007 | 1.0000000000000007 | \x3ff0000000000003 | t
|
|
\x3ff0000000000004 | 1.0000000000000009 | 1.0000000000000009 | \x3ff0000000000004 | t
|
|
\x3ff0000000000005 | 1.000000000000001 | 1.000000000000001 | \x3ff0000000000005 | t
|
|
\x3ff0000000000006 | 1.0000000000000013 | 1.0000000000000013 | \x3ff0000000000006 | t
|
|
\x3ff0000000000007 | 1.0000000000000016 | 1.0000000000000016 | \x3ff0000000000007 | t
|
|
\x3ff0000000000008 | 1.0000000000000018 | 1.0000000000000018 | \x3ff0000000000008 | t
|
|
\x3ff0000000000009 | 1.000000000000002 | 1.000000000000002 | \x3ff0000000000009 | t
|
|
\x3ff921fb54442d18 | 1.5707963267948966 | 1.5707963267948966 | \x3ff921fb54442d18 | t
|
|
\x4005bf0a8b14576a | 2.7182818284590455 | 2.7182818284590455 | \x4005bf0a8b14576a | t
|
|
\x400921fb54442d18 | 3.141592653589793 | 3.141592653589793 | \x400921fb54442d18 | t
|
|
\x4023ffffffffffff | 9.999999999999998 | 9.999999999999998 | \x4023ffffffffffff | t
|
|
\x4024000000000000 | 10 | 10 | \x4024000000000000 | t
|
|
\x4024000000000001 | 10.000000000000002 | 10.000000000000002 | \x4024000000000001 | t
|
|
\x4058ffffffffffff | 99.99999999999999 | 99.99999999999999 | \x4058ffffffffffff | t
|
|
\x4059000000000000 | 100 | 100 | \x4059000000000000 | t
|
|
\x4059000000000001 | 100.00000000000001 | 100.00000000000001 | \x4059000000000001 | t
|
|
\x408f3fffffffffff | 999.9999999999999 | 999.9999999999999 | \x408f3fffffffffff | t
|
|
\x408f400000000000 | 1000 | 1000 | \x408f400000000000 | t
|
|
\x408f400000000001 | 1000.0000000000001 | 1000.0000000000001 | \x408f400000000001 | t
|
|
\x40c387ffffffffff | 9999.999999999998 | 9999.999999999998 | \x40c387ffffffffff | t
|
|
\x40c3880000000000 | 10000 | 10000 | \x40c3880000000000 | t
|
|
\x40c3880000000001 | 10000.000000000002 | 10000.000000000002 | \x40c3880000000001 | t
|
|
\x40f869ffffffffff | 99999.99999999999 | 99999.99999999999 | \x40f869ffffffffff | t
|
|
\x40f86a0000000000 | 100000 | 100000 | \x40f86a0000000000 | t
|
|
\x40f86a0000000001 | 100000.00000000001 | 100000.00000000001 | \x40f86a0000000001 | t
|
|
\x412e847fffffffff | 999999.9999999999 | 999999.9999999999 | \x412e847fffffffff | t
|
|
\x412e848000000000 | 1000000 | 1000000 | \x412e848000000000 | t
|
|
\x412e848000000001 | 1000000.0000000001 | 1000000.0000000001 | \x412e848000000001 | t
|
|
\x416312cfffffffff | 9999999.999999998 | 9999999.999999998 | \x416312cfffffffff | t
|
|
\x416312d000000000 | 10000000 | 10000000 | \x416312d000000000 | t
|
|
\x416312d000000001 | 10000000.000000002 | 10000000.000000002 | \x416312d000000001 | t
|
|
\x4197d783ffffffff | 99999999.99999999 | 99999999.99999999 | \x4197d783ffffffff | t
|
|
\x4197d78400000000 | 100000000 | 100000000 | \x4197d78400000000 | t
|
|
\x4197d78400000001 | 100000000.00000001 | 100000000.00000001 | \x4197d78400000001 | t
|
|
\x41cdcd64ffffffff | 999999999.9999999 | 999999999.9999999 | \x41cdcd64ffffffff | t
|
|
\x41cdcd6500000000 | 1000000000 | 1000000000 | \x41cdcd6500000000 | t
|
|
\x41cdcd6500000001 | 1000000000.0000001 | 1000000000.0000001 | \x41cdcd6500000001 | t
|
|
\x4202a05f1fffffff | 9999999999.999998 | 9999999999.999998 | \x4202a05f1fffffff | t
|
|
\x4202a05f20000000 | 10000000000 | 10000000000 | \x4202a05f20000000 | t
|
|
\x4202a05f20000001 | 10000000000.000002 | 10000000000.000002 | \x4202a05f20000001 | t
|
|
\x42374876e7ffffff | 99999999999.99998 | 99999999999.99998 | \x42374876e7ffffff | t
|
|
\x42374876e8000000 | 100000000000 | 100000000000 | \x42374876e8000000 | t
|
|
\x42374876e8000001 | 100000000000.00002 | 100000000000.00002 | \x42374876e8000001 | t
|
|
\x426d1a94a1ffffff | 999999999999.9999 | 999999999999.9999 | \x426d1a94a1ffffff | t
|
|
\x426d1a94a2000000 | 1000000000000 | 1000000000000 | \x426d1a94a2000000 | t
|
|
\x426d1a94a2000001 | 1000000000000.0001 | 1000000000000.0001 | \x426d1a94a2000001 | t
|
|
\x42a2309ce53fffff | 9999999999999.998 | 9999999999999.998 | \x42a2309ce53fffff | t
|
|
\x42a2309ce5400000 | 10000000000000 | 10000000000000 | \x42a2309ce5400000 | t
|
|
\x42a2309ce5400001 | 10000000000000.002 | 10000000000000.002 | \x42a2309ce5400001 | t
|
|
\x42d6bcc41e8fffff | 99999999999999.98 | 99999999999999.98 | \x42d6bcc41e8fffff | t
|
|
\x42d6bcc41e900000 | 100000000000000 | 100000000000000 | \x42d6bcc41e900000 | t
|
|
\x42d6bcc41e900001 | 100000000000000.02 | 100000000000000.02 | \x42d6bcc41e900001 | t
|
|
\x430c6bf52633ffff | 999999999999999.9 | 999999999999999.9 | \x430c6bf52633ffff | t
|
|
\x430c6bf526340000 | 1e+15 | 1e+15 | \x430c6bf526340000 | t
|
|
\x430c6bf526340001 | 1.0000000000000001e+15 | 1.0000000000000001e+15 | \x430c6bf526340001 | t
|
|
\x4341c37937e07fff | 9.999999999999998e+15 | 9.999999999999998e+15 | \x4341c37937e07fff | t
|
|
\x4341c37937e08000 | 1e+16 | 1e+16 | \x4341c37937e08000 | t
|
|
\x4341c37937e08001 | 1.0000000000000002e+16 | 1.0000000000000002e+16 | \x4341c37937e08001 | t
|
|
\x4376345785d89fff | 9.999999999999998e+16 | 9.999999999999998e+16 | \x4376345785d89fff | t
|
|
\x4376345785d8a000 | 1e+17 | 1e+17 | \x4376345785d8a000 | t
|
|
\x4376345785d8a001 | 1.0000000000000002e+17 | 1.0000000000000002e+17 | \x4376345785d8a001 | t
|
|
\x43abc16d674ec7ff | 9.999999999999999e+17 | 9.999999999999999e+17 | \x43abc16d674ec7ff | t
|
|
\x43abc16d674ec800 | 1e+18 | 1e+18 | \x43abc16d674ec800 | t
|
|
\x43abc16d674ec801 | 1.0000000000000001e+18 | 1.0000000000000001e+18 | \x43abc16d674ec801 | t
|
|
\x43e158e460913cff | 9.999999999999998e+18 | 9.999999999999998e+18 | \x43e158e460913cff | t
|
|
\x43e158e460913d00 | 1e+19 | 1e+19 | \x43e158e460913d00 | t
|
|
\x43e158e460913d01 | 1.0000000000000002e+19 | 1.0000000000000002e+19 | \x43e158e460913d01 | t
|
|
\x4415af1d78b58c3f | 9.999999999999998e+19 | 9.999999999999998e+19 | \x4415af1d78b58c3f | t
|
|
\x4415af1d78b58c40 | 1e+20 | 1e+20 | \x4415af1d78b58c40 | t
|
|
\x4415af1d78b58c41 | 1.0000000000000002e+20 | 1.0000000000000002e+20 | \x4415af1d78b58c41 | t
|
|
\x444b1ae4d6e2ef4f | 9.999999999999999e+20 | 9.999999999999999e+20 | \x444b1ae4d6e2ef4f | t
|
|
\x444b1ae4d6e2ef50 | 1e+21 | 1e+21 | \x444b1ae4d6e2ef50 | t
|
|
\x444b1ae4d6e2ef51 | 1.0000000000000001e+21 | 1.0000000000000001e+21 | \x444b1ae4d6e2ef51 | t
|
|
\x4480f0cf064dd591 | 9.999999999999998e+21 | 9.999999999999998e+21 | \x4480f0cf064dd591 | t
|
|
\x4480f0cf064dd592 | 1e+22 | 1e+22 | \x4480f0cf064dd592 | t
|
|
\x4480f0cf064dd593 | 1.0000000000000002e+22 | 1.0000000000000002e+22 | \x4480f0cf064dd593 | t
|
|
\x44b52d02c7e14af5 | 9.999999999999997e+22 | 9.999999999999997e+22 | \x44b52d02c7e14af5 | t
|
|
\x44b52d02c7e14af6 | 9.999999999999999e+22 | 9.999999999999999e+22 | \x44b52d02c7e14af6 | t
|
|
\x44b52d02c7e14af7 | 1.0000000000000001e+23 | 1.0000000000000001e+23 | \x44b52d02c7e14af7 | t
|
|
\x44ea784379d99db3 | 9.999999999999998e+23 | 9.999999999999998e+23 | \x44ea784379d99db3 | t
|
|
\x44ea784379d99db4 | 1e+24 | 1e+24 | \x44ea784379d99db4 | t
|
|
\x44ea784379d99db5 | 1.0000000000000001e+24 | 1.0000000000000001e+24 | \x44ea784379d99db5 | t
|
|
\x45208b2a2c280290 | 9.999999999999999e+24 | 9.999999999999999e+24 | \x45208b2a2c280290 | t
|
|
\x45208b2a2c280291 | 1e+25 | 1e+25 | \x45208b2a2c280291 | t
|
|
\x45208b2a2c280292 | 1.0000000000000003e+25 | 1.0000000000000003e+25 | \x45208b2a2c280292 | t
|
|
\x7feffffffffffffe | 1.7976931348623155e+308 | 1.7976931348623155e+308 | \x7feffffffffffffe | t
|
|
\x7fefffffffffffff | 1.7976931348623157e+308 | 1.7976931348623157e+308 | \x7fefffffffffffff | t
|
|
\x4350000000000002 | 1.8014398509481992e+16 | 1.8014398509481992e+16 | \x4350000000000002 | t
|
|
\x4350000000002e06 | 1.8014398509529112e+16 | 1.8014398509529112e+16 | \x4350000000002e06 | t
|
|
\x4352000000000003 | 2.0266198323167244e+16 | 2.0266198323167244e+16 | \x4352000000000003 | t
|
|
\x4352000000000004 | 2.0266198323167248e+16 | 2.0266198323167248e+16 | \x4352000000000004 | t
|
|
\x4358000000000003 | 2.7021597764222988e+16 | 2.7021597764222988e+16 | \x4358000000000003 | t
|
|
\x4358000000000004 | 2.7021597764222992e+16 | 2.7021597764222992e+16 | \x4358000000000004 | t
|
|
\x435f000000000020 | 3.4902897112121472e+16 | 3.4902897112121472e+16 | \x435f000000000020 | t
|
|
\xc350000000000002 | -1.8014398509481992e+16 | -1.8014398509481992e+16 | \xc350000000000002 | t
|
|
\xc350000000002e06 | -1.8014398509529112e+16 | -1.8014398509529112e+16 | \xc350000000002e06 | t
|
|
\xc352000000000003 | -2.0266198323167244e+16 | -2.0266198323167244e+16 | \xc352000000000003 | t
|
|
\xc352000000000004 | -2.0266198323167248e+16 | -2.0266198323167248e+16 | \xc352000000000004 | t
|
|
\xc358000000000003 | -2.7021597764222988e+16 | -2.7021597764222988e+16 | \xc358000000000003 | t
|
|
\xc358000000000004 | -2.7021597764222992e+16 | -2.7021597764222992e+16 | \xc358000000000004 | t
|
|
\xc35f000000000020 | -3.4902897112121472e+16 | -3.4902897112121472e+16 | \xc35f000000000020 | t
|
|
\x42dc12218377de66 | 123456789012345.6 | 123456789012345.6 | \x42dc12218377de66 | t
|
|
\x42a674e79c5fe51f | 12345678901234.56 | 12345678901234.56 | \x42a674e79c5fe51f | t
|
|
\x4271f71fb04cb74c | 1234567890123.456 | 1234567890123.456 | \x4271f71fb04cb74c | t
|
|
\x423cbe991a145879 | 123456789012.3456 | 123456789012.3456 | \x423cbe991a145879 | t
|
|
\x4206fee0e1a9e061 | 12345678901.23456 | 12345678901.23456 | \x4206fee0e1a9e061 | t
|
|
\x41d26580b487e6b4 | 1234567890.123456 | 1234567890.123456 | \x41d26580b487e6b4 | t
|
|
\x419d6f34540ca453 | 123456789.0123456 | 123456789.0123456 | \x419d6f34540ca453 | t
|
|
\x41678c29dcd6e9dc | 12345678.90123456 | 12345678.90123456 | \x41678c29dcd6e9dc | t
|
|
\x4132d687e3df217d | 1234567.890123456 | 1234567.890123456 | \x4132d687e3df217d | t
|
|
\x40fe240c9fcb68c8 | 123456.7890123456 | 123456.7890123456 | \x40fe240c9fcb68c8 | t
|
|
\x40c81cd6e63c53d3 | 12345.67890123456 | 12345.67890123456 | \x40c81cd6e63c53d3 | t
|
|
\x40934a4584fd0fdc | 1234.567890123456 | 1234.567890123456 | \x40934a4584fd0fdc | t
|
|
\x405edd3c07fb4c93 | 123.4567890123456 | 123.4567890123456 | \x405edd3c07fb4c93 | t
|
|
\x4028b0fcd32f7076 | 12.34567890123456 | 12.34567890123456 | \x4028b0fcd32f7076 | t
|
|
\x3ff3c0ca428c59f8 | 1.234567890123456 | 1.234567890123456 | \x3ff3c0ca428c59f8 | t
|
|
\x3e60000000000000 | 2.9802322387695312e-08 | 2.9802322387695312e-08 | \x3e60000000000000 | t
|
|
\xc352bd2668e077c4 | -2.1098088986959632e+16 | -2.1098088986959632e+16 | \xc352bd2668e077c4 | t
|
|
\x434018601510c000 | 9.0608011534336e+15 | 9.0608011534336e+15 | \x434018601510c000 | t
|
|
\x43d055dc36f24000 | 4.708356024711512e+18 | 4.708356024711512e+18 | \x43d055dc36f24000 | t
|
|
\x43e052961c6f8000 | 9.409340012568248e+18 | 9.409340012568248e+18 | \x43e052961c6f8000 | t
|
|
\x3ff3c0ca2a5b1d5d | 1.2345678 | 1.2345678 | \x3ff3c0ca2a5b1d5d | t
|
|
\x4830f0cf064dd592 | 5.764607523034235e+39 | 5.764607523034235e+39 | \x4830f0cf064dd592 | t
|
|
\x4840f0cf064dd592 | 1.152921504606847e+40 | 1.152921504606847e+40 | \x4840f0cf064dd592 | t
|
|
\x4850f0cf064dd592 | 2.305843009213694e+40 | 2.305843009213694e+40 | \x4850f0cf064dd592 | t
|
|
\x3ff3333333333333 | 1.2 | 1.2 | \x3ff3333333333333 | t
|
|
\x3ff3ae147ae147ae | 1.23 | 1.23 | \x3ff3ae147ae147ae | t
|
|
\x3ff3be76c8b43958 | 1.234 | 1.234 | \x3ff3be76c8b43958 | t
|
|
\x3ff3c083126e978d | 1.2345 | 1.2345 | \x3ff3c083126e978d | t
|
|
\x3ff3c0c1fc8f3238 | 1.23456 | 1.23456 | \x3ff3c0c1fc8f3238 | t
|
|
\x3ff3c0c9539b8887 | 1.234567 | 1.234567 | \x3ff3c0c9539b8887 | t
|
|
\x3ff3c0ca2a5b1d5d | 1.2345678 | 1.2345678 | \x3ff3c0ca2a5b1d5d | t
|
|
\x3ff3c0ca4283de1b | 1.23456789 | 1.23456789 | \x3ff3c0ca4283de1b | t
|
|
\x3ff3c0ca43db770a | 1.234567895 | 1.234567895 | \x3ff3c0ca43db770a | t
|
|
\x3ff3c0ca428abd53 | 1.2345678901 | 1.2345678901 | \x3ff3c0ca428abd53 | t
|
|
\x3ff3c0ca428c1d2b | 1.23456789012 | 1.23456789012 | \x3ff3c0ca428c1d2b | t
|
|
\x3ff3c0ca428c51f2 | 1.234567890123 | 1.234567890123 | \x3ff3c0ca428c51f2 | t
|
|
\x3ff3c0ca428c58fc | 1.2345678901234 | 1.2345678901234 | \x3ff3c0ca428c58fc | t
|
|
\x3ff3c0ca428c59dd | 1.23456789012345 | 1.23456789012345 | \x3ff3c0ca428c59dd | t
|
|
\x3ff3c0ca428c59f8 | 1.234567890123456 | 1.234567890123456 | \x3ff3c0ca428c59f8 | t
|
|
\x3ff3c0ca428c59fb | 1.2345678901234567 | 1.2345678901234567 | \x3ff3c0ca428c59fb | t
|
|
\x40112e0be8047a7d | 4.294967294 | 4.294967294 | \x40112e0be8047a7d | t
|
|
\x40112e0be815a889 | 4.294967295 | 4.294967295 | \x40112e0be815a889 | t
|
|
\x40112e0be826d695 | 4.294967296 | 4.294967296 | \x40112e0be826d695 | t
|
|
\x40112e0be83804a1 | 4.294967297 | 4.294967297 | \x40112e0be83804a1 | t
|
|
\x40112e0be84932ad | 4.294967298 | 4.294967298 | \x40112e0be84932ad | t
|
|
\x0040000000000000 | 1.7800590868057611e-307 | 1.7800590868057611e-307 | \x0040000000000000 | t
|
|
\x007fffffffffffff | 2.8480945388892175e-306 | 2.8480945388892175e-306 | \x007fffffffffffff | t
|
|
\x0290000000000000 | 2.446494580089078e-296 | 2.446494580089078e-296 | \x0290000000000000 | t
|
|
\x029fffffffffffff | 4.8929891601781557e-296 | 4.8929891601781557e-296 | \x029fffffffffffff | t
|
|
\x4350000000000000 | 1.8014398509481984e+16 | 1.8014398509481984e+16 | \x4350000000000000 | t
|
|
\x435fffffffffffff | 3.6028797018963964e+16 | 3.6028797018963964e+16 | \x435fffffffffffff | t
|
|
\x1330000000000000 | 2.900835519859558e-216 | 2.900835519859558e-216 | \x1330000000000000 | t
|
|
\x133fffffffffffff | 5.801671039719115e-216 | 5.801671039719115e-216 | \x133fffffffffffff | t
|
|
\x3a6fa7161a4d6e0c | 3.196104012172126e-27 | 3.196104012172126e-27 | \x3a6fa7161a4d6e0c | t
|
|
(209 rows)
|
|
|
|
-- clean up, lest opr_sanity complain
|
|
drop type xfloat8 cascade;
|
|
NOTICE: drop cascades to 6 other objects
|
|
DETAIL: drop cascades to function xfloat8in(cstring)
|
|
drop cascades to function xfloat8out(xfloat8)
|
|
drop cascades to cast from xfloat8 to double precision
|
|
drop cascades to cast from double precision to xfloat8
|
|
drop cascades to cast from xfloat8 to bigint
|
|
drop cascades to cast from bigint to xfloat8
|