Merge pull request #11788 from ydb-platform/mergelibs-241120-1113

Library import 241120-1113

1 files changed, 840 insertions, 0 deletions

diff --git a/yql/essentials/tests/postgresql/cases/float8.out b/yql/essentials/tests/postgresql/cases/float8.out
new file mode 100644
index 0000000000..438862da6c
--- /dev/null
+++ b/yql/essentials/tests/postgresql/cases/float8.out
@@ -0,0 +1,840 @@
+--
+-- FLOAT8
+--
+CREATE TABLE FLOAT8_TBL(f1 float8);
+INSERT INTO FLOAT8_TBL(f1) VALUES ('    0.0   ');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('1004.30  ');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('   -34.84');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e+200');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('1.2345678901234e-200');
+-- test for underflow and overflow handling
+SELECT '10e400'::float8;
+ERROR:  "10e400" is out of range for type double precision
+LINE 1: SELECT '10e400'::float8;
+               ^
+SELECT '-10e400'::float8;
+ERROR:  "-10e400" is out of range for type double precision
+LINE 1: SELECT '-10e400'::float8;
+               ^
+SELECT '10e-400'::float8;
+ERROR:  "10e-400" is out of range for type double precision
+LINE 1: SELECT '10e-400'::float8;
+               ^
+SELECT '-10e-400'::float8;
+ERROR:  "-10e-400" is out of range for type double precision
+LINE 1: SELECT '-10e-400'::float8;
+               ^
+-- test smallest normalized input
+SELECT float8send('2.2250738585072014E-308'::float8);
+     float8send     
+--------------------
+ \x0010000000000000
+(1 row)
+
+-- bad input
+INSERT INTO FLOAT8_TBL(f1) VALUES ('');
+ERROR:  invalid input syntax for type double precision: ""
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('     ');
+ERROR:  invalid input syntax for type double precision: "     "
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('     ');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
+ERROR:  invalid input syntax for type double precision: "xyz"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('xyz');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
+ERROR:  invalid input syntax for type double precision: "5.0.0"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5.0.0');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
+ERROR:  invalid input syntax for type double precision: "5 . 0"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5 . 0');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('5.   0');
+ERROR:  invalid input syntax for type double precision: "5.   0"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('5.   0');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('    - 3');
+ERROR:  invalid input syntax for type double precision: "    - 3"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('    - 3');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('123           5');
+ERROR:  invalid input syntax for type double precision: "123           5"
+LINE 1: INSERT INTO FLOAT8_TBL(f1) VALUES ('123           5');
+                                           ^
+-- special inputs
+SELECT 'NaN'::float8;
+ float8 
+--------
+    NaN
+(1 row)
+
+SELECT 'nan'::float8;
+ float8 
+--------
+    NaN
+(1 row)
+
+SELECT '   NAN  '::float8;
+ float8 
+--------
+    NaN
+(1 row)
+
+SELECT 'infinity'::float8;
+  float8  
+----------
+ Infinity
+(1 row)
+
+SELECT '          -INFINiTY   '::float8;
+  float8   
+-----------
+ -Infinity
+(1 row)
+
+-- bad special inputs
+SELECT 'N A N'::float8;
+ERROR:  invalid input syntax for type double precision: "N A N"
+LINE 1: SELECT 'N A N'::float8;
+               ^
+SELECT 'NaN x'::float8;
+ERROR:  invalid input syntax for type double precision: "NaN x"
+LINE 1: SELECT 'NaN x'::float8;
+               ^
+SELECT ' INFINITY    x'::float8;
+ERROR:  invalid input syntax for type double precision: " INFINITY    x"
+LINE 1: SELECT ' INFINITY    x'::float8;
+               ^
+SELECT 'Infinity'::float8 + 100.0;
+ ?column? 
+----------
+ Infinity
+(1 row)
+
+SELECT 'Infinity'::float8 / 'Infinity'::float8;
+ ?column? 
+----------
+      NaN
+(1 row)
+
+SELECT '42'::float8 / 'Infinity'::float8;
+ ?column? 
+----------
+        0
+(1 row)
+
+SELECT 'nan'::float8 / 'nan'::float8;
+ ?column? 
+----------
+      NaN
+(1 row)
+
+SELECT 'nan'::float8 / '0'::float8;
+ ?column? 
+----------
+      NaN
+(1 row)
+
+SELECT 'nan'::numeric::float8;
+ float8 
+--------
+    NaN
+(1 row)
+
+SELECT * FROM FLOAT8_TBL;
+          f1          
+----------------------
+                    0
+               1004.3
+               -34.84
+ 1.2345678901234e+200
+ 1.2345678901234e-200
+(5 rows)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 <> '1004.3';
+          f1          
+----------------------
+                    0
+               -34.84
+ 1.2345678901234e+200
+ 1.2345678901234e-200
+(4 rows)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE f.f1 = '1004.3';
+   f1   
+--------
+ 1004.3
+(1 row)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE '1004.3' > f.f1;
+          f1          
+----------------------
+                    0
+               -34.84
+ 1.2345678901234e-200
+(3 rows)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE  f.f1 < '1004.3';
+          f1          
+----------------------
+                    0
+               -34.84
+ 1.2345678901234e-200
+(3 rows)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE '1004.3' >= f.f1;
+          f1          
+----------------------
+                    0
+               1004.3
+               -34.84
+ 1.2345678901234e-200
+(4 rows)
+
+SELECT f.* FROM FLOAT8_TBL f WHERE  f.f1 <= '1004.3';
+          f1          
+----------------------
+                    0
+               1004.3
+               -34.84
+ 1.2345678901234e-200
+(4 rows)
+
+SELECT f.f1, f.f1 * '-10' AS x
+   FROM FLOAT8_TBL f
+   WHERE f.f1 > '0.0';
+          f1          |           x           
+----------------------+-----------------------
+               1004.3 |                -10043
+ 1.2345678901234e+200 | -1.2345678901234e+201
+ 1.2345678901234e-200 | -1.2345678901234e-199
+(3 rows)
+
+SELECT f.f1, f.f1 + '-10' AS x
+   FROM FLOAT8_TBL f
+   WHERE f.f1 > '0.0';
+          f1          |          x           
+----------------------+----------------------
+               1004.3 |                994.3
+ 1.2345678901234e+200 | 1.2345678901234e+200
+ 1.2345678901234e-200 |                  -10
+(3 rows)
+
+SELECT f.f1, f.f1 - '-10' AS x
+   FROM FLOAT8_TBL f
+   WHERE f.f1 > '0.0';
+          f1          |          x           
+----------------------+----------------------
+               1004.3 |               1014.3
+ 1.2345678901234e+200 | 1.2345678901234e+200
+ 1.2345678901234e-200 |                   10
+(3 rows)
+
+-- absolute value
+SELECT f.f1, @f.f1 AS abs_f1
+   FROM FLOAT8_TBL f;
+          f1          |        abs_f1        
+----------------------+----------------------
+                    0 |                    0
+               1004.3 |               1004.3
+               -34.84 |                34.84
+ 1.2345678901234e+200 | 1.2345678901234e+200
+ 1.2345678901234e-200 | 1.2345678901234e-200
+(5 rows)
+
+-- truncate
+SELECT f.f1, trunc(f.f1) AS trunc_f1
+   FROM FLOAT8_TBL f;
+          f1          |       trunc_f1       
+----------------------+----------------------
+                    0 |                    0
+               1004.3 |                 1004
+               -34.84 |                  -34
+ 1.2345678901234e+200 | 1.2345678901234e+200
+ 1.2345678901234e-200 |                    0
+(5 rows)
+
+-- round
+SELECT f.f1, round(f.f1) AS round_f1
+   FROM FLOAT8_TBL f;
+          f1          |       round_f1       
+----------------------+----------------------
+                    0 |                    0
+               1004.3 |                 1004
+               -34.84 |                  -35
+ 1.2345678901234e+200 | 1.2345678901234e+200
+ 1.2345678901234e-200 |                    0
+(5 rows)
+
+-- avoid bit-exact output here because operations may not be bit-exact.
+SET extra_float_digits = 0;
+-- square root
+SELECT sqrt(float8 '64') AS eight;
+ eight 
+-------
+     8
+(1 row)
+
+SELECT |/ float8 '64' AS eight;
+ eight 
+-------
+     8
+(1 row)
+
+SELECT f.f1, |/f.f1 AS sqrt_f1
+   FROM FLOAT8_TBL f
+   WHERE f.f1 > '0.0';
+          f1          |        sqrt_f1        
+----------------------+-----------------------
+               1004.3 |      31.6906926399535
+ 1.2345678901234e+200 | 1.11111110611109e+100
+ 1.2345678901234e-200 | 1.11111110611109e-100
+(3 rows)
+
+-- power
+SELECT power(float8 '144', float8 '0.5');
+ power 
+-------
+    12
+(1 row)
+
+SELECT power(float8 'NaN', float8 '0.5');
+ power 
+-------
+   NaN
+(1 row)
+
+SELECT power(float8 '144', float8 'NaN');
+ power 
+-------
+   NaN
+(1 row)
+
+SELECT power(float8 'NaN', float8 'NaN');
+ power 
+-------
+   NaN
+(1 row)
+
+SELECT power(float8 '-1', float8 'NaN');
+ power 
+-------
+   NaN
+(1 row)
+
+SELECT power(float8 '1', float8 'NaN');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 'NaN', float8 '0');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 'inf', float8 '0');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '-inf', float8 '0');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '0', float8 'inf');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 '0', float8 '-inf');
+ERROR:  zero raised to a negative power is undefined
+SELECT power(float8 '1', float8 'inf');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '1', float8 '-inf');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '-1', float8 'inf');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '-1', float8 '-inf');
+ power 
+-------
+     1
+(1 row)
+
+SELECT power(float8 '0.1', float8 'inf');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 '-0.1', float8 'inf');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 '1.1', float8 'inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '-1.1', float8 'inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '0.1', float8 '-inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '-0.1', float8 '-inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '1.1', float8 '-inf');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 '-1.1', float8 '-inf');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 'inf', float8 '-2');
+ power 
+-------
+     0
+(1 row)
+
+SELECT power(float8 'inf', float8 '2');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 'inf', float8 'inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 'inf', float8 '-inf');
+ power 
+-------
+     0
+(1 row)
+
+-- Intel's icc misoptimizes the code that controls the sign of this result,
+-- even with -mp1.  Pending a fix for that, only test for "is it zero".
+SELECT power(float8 '-inf', float8 '-2') = '0';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT power(float8 '-inf', float8 '-3');
+ power 
+-------
+    -0
+(1 row)
+
+SELECT power(float8 '-inf', float8 '2');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '-inf', float8 '3');
+   power   
+-----------
+ -Infinity
+(1 row)
+
+SELECT power(float8 '-inf', float8 '3.5');
+ERROR:  a negative number raised to a non-integer power yields a complex result
+SELECT power(float8 '-inf', float8 'inf');
+  power   
+----------
+ Infinity
+(1 row)
+
+SELECT power(float8 '-inf', float8 '-inf');
+ power 
+-------
+     0
+(1 row)
+
+-- take exp of ln(f.f1)
+SELECT f.f1, exp(ln(f.f1)) AS exp_ln_f1
+   FROM FLOAT8_TBL f
+   WHERE f.f1 > '0.0';
+          f1          |       exp_ln_f1       
+----------------------+-----------------------
+               1004.3 |                1004.3
+ 1.2345678901234e+200 | 1.23456789012338e+200
+ 1.2345678901234e-200 | 1.23456789012339e-200
+(3 rows)
+
+-- 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)
+
+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 f.f1 / '0.0' from FLOAT8_TBL f;
+ERROR:  division by zero
+-- 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)
+
+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');
+                                           ^
+INSERT INTO FLOAT8_TBL(f1) VALUES ('0.0');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('-34.84');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('-1004.30');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e+200');
+INSERT INTO FLOAT8_TBL(f1) VALUES ('-1.2345678901234e-200');
+-- 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,
+       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)
+